]> git.lyx.org Git - lyx.git/blobdiff - lib/doc/Math.lyx
Merge branch 'master' into biblatex2
[lyx.git] / lib / doc / Math.lyx
index 8b7b16972af88db08be3b6877d4a582de1dc9390..dbb03f10a324367ea9fa89079d254659ff8e6e67 100644 (file)
@@ -1,7 +1,9 @@
-#LyX 1.5.4svn created this file. For more info see http://www.lyx.org/
-\lyxformat 276
+#LyX 2.2 created this file. For more info see http://www.lyx.org/
+\lyxformat 508
 \begin_document
 \begin_header
+\save_transient_properties true
+\origin /systemlyxdir/doc/
 \textclass scrartcl
 \begin_preamble
 % DO NOT ALTER THIS PREAMBLE!!!
 % the documentation team
 % email: lyx-docs@lists.lyx.org
 
-
-% if pdflatex is used
-\usepackage{ifpdf}
-\ifpdf
-
-% set fonts for nicer pdf view
-\IfFileExists{lmodern.sty}
- {\usepackage{lmodern}}{}
-
-% link all cross references and URLs
-% in pdf output
- \usepackage[colorlinks=true, bookmarks, bookmarksnumbered,
-  bookmarksopen, bookmarksopenlevel=1,
-  linkcolor=black, citecolor=black, urlcolor=blue, filecolor=blue,
-  pdfpagelayout=OneColumn, pdfnewwindow=true,
-  pdfstartview=XYZ, plainpages=false, pdfpagelabels,
-  pdfauthor={LyX Team}, pdftex,
-  pdftitle={LyX's Math Manual},
-  pdfsubject={LyX-documentation about math},
-  pdfkeywords={LyX, Mathed}]{hyperref}
-\else % if dvi or ps is produced
-
- % link all cross references and URLs in DVI output
- \usepackage[ps2pdf, colorlinks=true,
-  linkcolor=black, citecolor=black, urlcolor=blue, filecolor=blue]{hyperref}
-
-\fi % end if pdflatex is used
-
-% Folgendes Problem lösen:
-% Besteht die Kapitelnummer aus zu vielen Ziffern, wird  die
-% Kapitelüberschrift im Inhaltsverzeichnis direkt an oder über
-% die Kapitelnummer geschrieben.
-% Als Lösung wird mehr Platz zwischen Nummer und
-% Überschrift eingefügt.
+% solves the following problem:
+% If the dection number consits of too many numerals the section heading
+% will be printed in the TOC without a space between it and the section number.
+% As solution more space between the number and the heading is inserted:
 \renewcommand{\l@subsection}{\@dottedtocline{2}{1.5em}{2.8em}}
 \renewcommand{\l@subsubsection}{\@dottedtocline{3}{4.3em}{3.6em}}
 
-% To be able to enter the character ° and · directly in LyX,
-% see sec. 22.11
-\DeclareInputText{176}{\ifmmode^\circ\else\textdegree\fi}
-\DeclareInputText{183}{\ifmmode\cdot\else\textperiodcentered\fi}
-
 % increase link area for cross-references and autoname them,
-% see sec. 22.18.1
 \AtBeginDocument{\renewcommand{\ref}[1]{\mbox{\autoref{#1}}}}
-%\renewcommand{\sectionautorefname}{sec.\negthinspace}
-\renewcommand{\subsectionautorefname}{sec.\negthinspace}
-\renewcommand{\subsubsectionautorefname}{sec.\negthinspace}
-\newlength{\abc}
-\settowidth{\abc}{\space}
-\renewcommand{\equationautorefname}{\hspace{-\abc}}
+\@ifundefined{extrasenglish}{\usepackage[english]{babel}}{}
+\@ifpackageloaded{babel}{
+ \addto\extrasenglish{%
+  \renewcommand*{\equationautorefname}[1]{}%
+  \renewcommand{\sectionautorefname}{sec.\negthinspace}%
+  \renewcommand{\subsectionautorefname}{sec.\negthinspace}%
+  \renewcommand{\subsubsectionautorefname}{sec.\negthinspace}%
+ }
+}{}
 
 % don't load packages twice
 % see first footnote in sec. 9.3
 
 % the pages of the TOC are numbered roman
 % and a PDF-bookmark for the TOC is added
-\pagenumbering{Roman}
+\pagenumbering{roman}
 \let\myTOC\tableofcontents
 \renewcommand{\tableofcontents}{%
  \vspace{1cm}
- \pdfbookmark[1]{Contents}{}
+ \pdfbookmark[1]{\contentsname}{}
  \myTOC
  \cleardoublepage
  \pagenumbering{arabic}}
 
+% add 0.5 mm vertical space for table rows
+\@ifundefined{extrarowheight} {\usepackage{array}}{}
+\setlength{\extrarowheight}{0.5mm}
+
 % insert additional vertical space of 1.5 mm between footnotes,
-% see sec. 22.16
 \let\myFoot\footnote
 \renewcommand{\footnote}[1]{\myFoot{#1\vspace{1.5mm}}}
 
-% provides caption formatting
+% makes caption labels bold
 \setkomafont{captionlabel}{\bfseries}
 
-% used in Kap. 22.4
-\usepackage{braket}
-
-% used in Kap. 22.6
-\usepackage[samesize]{cancel}
-
-% enables calculation of values,
+% enables calculation of values
 \usepackage{calc}
 
-% for multiple table row and column cells
-\usepackage{multirow}
+% for multiple columns used in sec. 24.7
 \usepackage{multicol}
 
-% needed for diagrams
-\usepackage{amscd}
-
 % needed in sec. 19.4
 \usepackage{remreset}
 
-% center multirows (e.g. in sec. 13.3)
-\renewcommand{\multirowsetup}{\centering}
+% for the Fourier transformation symbol
+\usepackage{mathrsfs}
 
 % define a color, used in sec.9.3
 \definecolor{darkgreen}{cmyk}{0.5, 0, 1, 0.5}
 \DeclareMathOperator*{\Lozenge}{\blacklozenge}
 \DeclareMathOperator{\sgn}{sgn}
 
-\newcommand{\spce}{\textvisiblespace}
-
 % example definitions for sec. 20.1 
 \newcommand{\gr}{\Longrightarrow}
 \newcommand{\us}[1]{\underline{#1}}
 % example macro from sec. 19.4
 %\def\tagform@#1{\maketag@@@{|#1|}}
 
-% macro from sec. 10.2
-\def\clap#1{\hbox to 0pt{\hss #1\hss}}
-\def\mathclap {\mathpalette \mathclapinternal}
-\def\mathclapinternal #1#2{\clap{$\mathsurround =0pt #1{#2}$}}
 
-% redefine the greyed out note
-\renewenvironment{lyxgreyedout}
- {\textcolor{blue}\bgroup}{\egroup}
+% ------------------------------------
+% used to check for needed LaTeX packages
+\usepackage{ifthen}
+
+% check for package undertilde
+% used for the command \utilde
+\newboolean{undertilde}
+\IfFileExists{undertilde.sty}
+ {\usepackage{undertilde}
+  \setboolean{undertilde}{true}}
+ {\setboolean{undertilde}{false}}
 
 % check for package eurosym
 % used for the Euro symbol
   \setboolean{eurosym}{true}}
  {\setboolean{eurosym}{false}}
 
-% needed in sec. 22.4
 % check for package braket
+% used for physical vectors
 \newboolean{braket}
 \IfFileExists{braket.sty}
  {\usepackage{braket}
   \setboolean{braket}{true}}
  {\setboolean{braket}{false}}
 
-% needed in sec. 22.10
+% check for package cancel
+\newboolean{cancel}
+\IfFileExists{cancel.sty}
+ {\usepackage{cancel}
+  \setboolean{cancel}{true}}
+ {\setboolean{cancel}{false}}
+
 % check for package upgreek
 \newboolean{upgreek}
 \IfFileExists{upgreek.sty}
   \setboolean{upgreek}{true}}
  {\setboolean{upgreek}{false}}
 \end_preamble
-\options bibtotoc,idxtotoc,BCOR7.5mm,titlepage,tablecaptionabove
+\options bibliography=totoc,index=totoc,BCOR7.5mm,titlepage,captions=tableheading
+\use_default_options false
+\maintain_unincluded_children false
 \language english
+\language_package default
 \inputencoding auto
-\font_roman default
-\font_sans default
-\font_typewriter default
+\fontencoding global
+\font_roman "lmodern" "default"
+\font_sans "lmss" "default"
+\font_typewriter "lmtt" "default"
+\font_math "auto" "auto"
 \font_default_family default
+\use_non_tex_fonts false
 \font_sc false
 \font_osf false
-\font_sf_scale 100
-\font_tt_scale 100
+\font_sf_scale 100 100
+\font_tt_scale 100 100
 \graphics default
+\default_output_format pdf2
+\output_sync 0
+\bibtex_command default
+\index_command default
 \paperfontsize 12
 \spacing single
+\use_hyperref true
+\pdf_title "LyX's Math Manual"
+\pdf_author "LyX Team, Uwe Stöhr"
+\pdf_subject "LyX-documentation about math"
+\pdf_keywords "LyX, Mathed"
+\pdf_bookmarks true
+\pdf_bookmarksnumbered true
+\pdf_bookmarksopen true
+\pdf_bookmarksopenlevel 1
+\pdf_breaklinks false
+\pdf_pdfborder false
+\pdf_colorlinks true
+\pdf_backref false
+\pdf_pdfusetitle false
+\pdf_quoted_options "linkcolor=black, citecolor=black, urlcolor=blue, filecolor=blue, pdfpagelayout=OneColumn, pdfnewwindow=true, pdfstartview=XYZ, plainpages=false"
 \papersize a4paper
 \use_geometry false
-\use_amsmath 2
-\use_esint 1
+\use_package amsmath 2
+\use_package amssymb 2
+\use_package cancel 0
+\use_package esint 1
+\use_package mathdots 1
+\use_package mathtools 2
+\use_package mhchem 1
+\use_package stackrel 0
+\use_package stmaryrd 0
+\use_package undertilde 0
 \cite_engine basic
+\cite_engine_type default
+\biblio_style plain
 \use_bibtopic false
+\use_indices false
 \paperorientation portrait
+\suppress_date false
+\justification true
+\use_refstyle 0
+\notefontcolor #0000ff
+\index Index
+\shortcut idx
+\color #008000
+\end_index
 \secnumdepth 4
 \tocdepth 3
 \paragraph_separation skip
 \bullet 3 2 7 -1
 \tracking_changes false
 \output_changes false
-\author "" 
-\author "" 
+\html_math_output 0
+\html_css_as_file 0
+\html_be_strict false
 \end_header
 
 \begin_body
 
 \begin_layout Title
-LyX's detailed Math manual
+\SpecialChar LyX
+'s detailed Math manual
 \end_layout
 
 \begin_layout Author
-by the LyX Team
+by the \SpecialChar LyX
+ Team
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \noindent
-If you have comments or error corrections, please send them to the LyX Documenta
-tion mailing list: 
+If you have comments or error corrections, please send them to the \SpecialChar LyX
+ Documentatio
+n mailing list: 
 \family typewriter
 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-href{mailto:lyx-docs@lists.lyx.org?subject=LyX's Math manual}{
-\end_layout
-
-\end_inset
-
-lyx-docs@lists.lyx.org
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-}
-\end_layout
+\begin_inset CommandInset href
+LatexCommand href
+name "lyx-docs@lists.lyx.org"
+target "lyx-docs@lists.lyx.org?subject=LyX's Math manual"
+type "mailto:"
 
 \end_inset
 
@@ -250,25 +252,28 @@ status collapsed
 \begin_inset Note Note
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 author: Uwe Stöhr
 \end_layout
 
 \end_inset
 
 
-\newline
+\begin_inset Newline newline
+\end_inset
+
+
+\begin_inset Newline newline
+\end_inset
 
-\newline
 
 \family sans
-Version 1.5.4-
-\family default
-1
+Version 2.2.x
 \end_layout
 
 \begin_layout Standard
-\begin_inset LatexCommand tableofcontents
+\begin_inset CommandInset toc
+LatexCommand tableofcontents
 
 \end_inset
 
@@ -279,30 +284,34 @@ Version 1.5.4-
 \begin_inset Note Note
 status open
 
-\begin_layout Standard
-To export this document to PDF, PS, or DVI the LaTeX-packages 
-\series bold
-eurosym,
-\series default
+\begin_layout Plain Layout
+To export this document to PDF, PS or DVI the \SpecialChar LaTeX
+-packages 
 \series bold
-multirow,
+braket, cancel, eurosym, mathdots, mathtools, mhchem, undertilde
 \series default
  and 
 \series bold
 was
 \series default
- must be installed.
- If they are not installed you can export the document anyway but the sections
- where the packages are required won't appear in the output.
+ should be installed.
+ If they are not installed the document can be exported anyway but the sections
+ where the packages are required will not appear in the output.
+ An exception is 
+\series bold
+mhchem
+\series default
+; if it is not installed, this file cannot be exported.
 \end_layout
 
-\begin_layout Standard
+\begin_layout Plain Layout
 The latest PDF-version of this document can be found here:
-\newline
+\begin_inset Newline newline
+\end_inset
+
 
 \series bold
-http://wiki.lyx.org/LyX/DocumentationDevelopment#Math
+http://wiki.lyx.org/LyX/Manuals#Math
 \end_layout
 
 \end_inset
@@ -311,28 +320,28 @@ http://wiki.lyx.org/LyX/DocumentationDevelopment#Math
 \end_layout
 
 \begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
 
-\newpage
 
 \end_layout
 
 \begin_layout Section
 Introduction
-\begin_inset LatexCommand label
-name "sec:Introduction"
-
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
-This document explains LyX's math features and is furthermore a collection
- of LaTeX-commands used for mathematical characters and constructs.
+This document explains \SpecialChar LyX
+'s math features and is furthermore a collection
+ of \SpecialChar LaTeX
+-commands used for mathematical characters and constructs.
  The explanations are designed for the usage of commands.
  It is therefore required that you have read the section 
 \family typewriter
-Mathematical\InsetSpace ~
+Mathematical
+\begin_inset space ~
+\end_inset
+
 Formulas
 \family default
  of the User's Guide.
@@ -344,12 +353,12 @@ Most of the characters and many constructs explained in this manual are
 \family sans
 Insert
 \series bold
-\SpecialChar \menuseparator
+\SpecialChar menuseparator
 
 \series default
 Math
 \family default
-, or the 
+ or the 
 \family sans
 math
 \family default
@@ -372,18 +381,21 @@ If not specially mentioned the commands are only available within formulas.
 \family sans
 Use AMS math package
 \family default
- must be used in the document settings (menu 
+ must be checked in the document settings (menu 
 \family sans
-Document\SpecialChar \menuseparator
-Settings\SpecialChar \menuseparator
-Math\InsetSpace ~
+Document\SpecialChar menuseparator
+Settings\SpecialChar menuseparator
+Math
+\begin_inset space ~
+\end_inset
+
 Options
 \family default
 ).
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 The option 
 \family sans
 Use AMS math package automatically
@@ -392,7 +404,7 @@ Use AMS math package automatically
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -401,7 +413,8 @@ AmS
 
 \end_inset
 
--math when math constructs are found that are supported by LyX.
+-math when math constructs are found that are supported by \SpecialChar LyX
+.
 \end_layout
 
 \end_inset
@@ -414,7 +427,7 @@ This document doesn't list all
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -427,12 +440,12 @@ AmS
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 A list with all 
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -442,34 +455,19 @@ AmS
 \end_inset
 
 -math commands is in the file 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
+\family sans
 
-\backslash
-href{ftp://ctan.tug.org/tex-archive/macros/amstex/doc/amsguide.ps}{
-\end_layout
+\begin_inset CommandInset href
+LatexCommand href
+name "amsguide.ps"
+target "ftp://ftp.ams.org/pub/tex/doc/amstex/amsguide.pdf"
 
 \end_inset
 
 
-\family sans
-amsguide.ps
 \family default
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-}
-\end_layout
-
-\end_inset
-
-, which is part of every LaTeX standard installation.
+, which is part of every \SpecialChar LaTeX
+ standard installation.
 \end_layout
 
 \end_inset
@@ -479,57 +477,67 @@ status collapsed
 
 \begin_layout Section
 General Instructions
-\begin_inset LatexCommand label
-name "sec:General-Instructions"
-
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
 To create an inline formula
-\begin_inset LatexCommand index
-name "Formula ! inline"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Formula ! inline
+\end_layout
 
 \end_inset
 
- that is embedded into a text line, press 
-\family sans
-Ctrl-m
-\family default
- or the toolbar button 
-\begin_inset Graphics
-       filename ../images/math-mode.png
-       scale 85
+ that is embedded into a text line, use one of the shortcuts 
+\begin_inset Info
+type  "shortcuts"
+arg   "math-mode"
+\end_inset
 
+ or the toolbar button 
+\begin_inset Info
+type  "icon"
+arg   "math-mode"
 \end_inset
 
+.
+\begin_inset Newline newline
+\end_inset
 
-\newline
 To create a display style formula
-\begin_inset LatexCommand index
-name "Formula ! display style"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Formula ! display style
+\end_layout
 
 \end_inset
 
- that will appear bigger and in an own paragraph, press 
-\family sans
-Ctrl-M
-\family default
+ which will appear bigger, has a different format, and will be in a separate
+ paragraph, use one of these shortcuts: 
+\begin_inset Info
+type  "shortcuts"
+arg   "math-display"
+\end_inset
+
 .
 \end_layout
 
 \begin_layout Standard
 To change a display style formula to an inline formula, set the cursor into
- the formula and press 
-\family sans
-Ctrl-M
-\family default
- or use the menu 
+ the formula and use one of the shortcuts 
+\begin_inset Info
+type  "shortcuts"
+arg   "math-mode"
+\end_inset
+
+ or the menu 
 \family sans
-Edit\SpecialChar \menuseparator
-Math\SpecialChar \menuseparator
+Edit\SpecialChar menuseparator
+Math\SpecialChar menuseparator
 Change formula type
 \family default
 .
@@ -543,13 +551,19 @@ To display parts of an inline formula in the size of a display style formula,
 
 \backslash
 displaystyle
-\begin_inset LatexCommand index
-name "Commands ! D ! \\textbackslash displaystyle"
+\series default
 
-\end_inset
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! D ! 
+\backslash
+displaystyle
+\end_layout
 
+\end_inset
 
-\series default
  to a formula.
  Then a new blue box appears in which the desired formula part is inserted.
 \end_layout
@@ -565,7 +579,7 @@ math toolbar
 \family default
  can be turned on in the menu 
 \family sans
-View\SpecialChar \menuseparator
+View\SpecialChar menuseparator
 Toolbars
 \family default
 .
@@ -612,7 +626,10 @@ Math
 \begin_inset Quotes eld
 \end_inset
 
-Math\InsetSpace ~
+Math
+\begin_inset space ~
+\end_inset
+
 (auto)
 \begin_inset Quotes erd
 \end_inset
@@ -621,111 +638,56 @@ Math\InsetSpace ~
 \end_layout
 
 \begin_layout Standard
-The TeX-mode
-\begin_inset LatexCommand index
-name "T@\\TeX-mode"
-
-\end_inset
-
- is invoked by pressing the toolbar button 
-\begin_inset Graphics
-       filename ../images/ert-insert.png
-       scale 85
-
-\end_inset
-
- or by using the menu 
-\family sans
-Insert\SpecialChar \menuseparator
-T
-\begin_inset ERT
+The \SpecialChar TeX
+ mode
+\begin_inset Index idx
 status collapsed
 
-\begin_layout Standard
-
-{
+\begin_layout Plain Layout
+T@\SpecialChar TeX
+-mode
 \end_layout
 
 \end_inset
 
-e
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-}
-\end_layout
-
+ is invoked by pressing the toolbar button 
+\begin_inset Info
+type  "icon"
+arg   "ert-insert"
 \end_inset
 
-X Code
-\family default
- (shortcut 
+ or by using the menu 
 \family sans
-Ctrl-l
+Insert\SpecialChar menuseparator
+TeX Code
 \family default
-).
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Standard
-In LyX there are three 
-\begin_inset Quotes eld
-\end_inset
-
-proper names
-\begin_inset Quotes erd
+ (shortcut 
+\begin_inset Info
+type  "shortcut"
+arg   "ert-insert"
 \end_inset
 
- that appear in the output with sub- and superscript letters: TeX, LaTeX,
- and LyX
+).
 \end_layout
 
 \begin_layout Standard
-To avoid that these names are recognized as proper names, TeX-braces are
- set around one of the letters of the name.
-\end_layout
-
-\end_inset
-
+To change the \SpecialChar LaTeX
+-preamble
+\begin_inset Index idx
+status collapsed
 
+\begin_layout Plain Layout
+L@\SpecialChar LaTeX
+-preamble
 \end_layout
 
-\begin_layout Standard
-To change the LaTeX-preamble
-\begin_inset LatexCommand index
-name "L@\\LaTeX-preamble"
-
 \end_inset
 
 , use the menu 
 \family sans
-Document\SpecialChar \menuseparator
-Settings\SpecialChar \menuseparator
-La
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-{
-\end_layout
-
-\end_inset
-
-T
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-}
-\end_layout
-
-\end_inset
-
-eX
+Document\SpecialChar menuseparator
+Settings\SpecialChar menuseparator
+LaTeX
 \family default
  
 \family sans
@@ -735,24 +697,30 @@ Preamble
 \end_layout
 
 \begin_layout Standard
-To edit matrices, case differentiations, and multiline formulas subsequently,
- the menus 
+To edit matrices, case differentiations and multiline formulas subsequently,
use the menus 
 \family sans
-Edit\SpecialChar \menuseparator
+Edit\SpecialChar menuseparator
 Math
 \family default
  and 
 \family sans
-Edit\SpecialChar \menuseparator
-Rows\InsetSpace \thinspace{}
-&\InsetSpace \thinspace{}
+Edit\SpecialChar menuseparator
+Rows
+\begin_inset space \thinspace{}
+\end_inset
+
+&
+\begin_inset space \thinspace{}
+\end_inset
+
 Columns,
 \family default
  or the 
 \family sans
 table toolbar
 \family default
- can be used.
+.
  When lines and columns are swapped via the menu, the column or line where
  the cursor is in is exchanged with the column to the right or the line
  below, respectively.
@@ -765,7 +733,7 @@ To write text in formulas
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 For multiline formulas the command 
 \series bold
 
@@ -773,8 +741,9 @@ For multiline formulas the command
 intertext
 \series default
  is used, see 
-\begin_inset LatexCommand ref
-reference "sub:Text-in-multiline"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Text-in-multiline"
 
 \end_inset
 
@@ -788,38 +757,54 @@ reference "sub:Text-in-multiline"
 mathematical text
 \emph default
 
-\begin_inset LatexCommand index
-name "Text ! in formulas"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Text ! in formulas
+\end_layout
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Mathematical text"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Mathematical text
+\end_layout
 
 \end_inset
 
  is used.
- This mode is invoked with the the shortcut 
-\family sans
-Alt-m\InsetSpace ~
-m
-\family default
+ This mode is invoked with the shortcut 
+\begin_inset Info
+type  "shortcut"
+arg   "font-default"
+\end_inset
+
  or by the insertion of the command 
 \series bold
 
 \backslash
 text
-\begin_inset LatexCommand index
-name "Commands ! T ! \\textbackslash text"
+\series default
 
-\end_inset
+\begin_inset Index idx
+status collapsed
 
+\begin_layout Plain Layout
+Commands ! T ! 
+\backslash
+text
+\end_layout
+
+\end_inset
 
-\series default
 .
- The text appears black in LyX and can therefore be distinguished from the
- other formula parts that appear blue.
+ The text appears black in \SpecialChar LyX
+ and can therefore be distinguished from the
+ other formula parts which appear blue.
  In the output mathematical text is set upright, in contrary to other formula
  parts.
 \end_layout
@@ -829,7 +814,8 @@ Command Scheme
 \end_layout
 
 \begin_layout Standard
-Most of the LaTeX-commands for math constructs have the following scheme:
+Most of the \SpecialChar LaTeX
+-commands for math constructs have the following scheme:
 \end_layout
 
 \begin_layout Standard
@@ -849,7 +835,7 @@ argument}
 \end_layout
 
 \begin_layout Standard
-A command starts always with a backslash 
+A command always starts with a backslash 
 \begin_inset Quotes gld
 \end_inset
 
@@ -866,32 +852,45 @@ A command starts always with a backslash
 .
  To omit optional arguments, also omit the associated brackets.
  The braces around the required arguments are named in this document as
- TeX-braces
-\begin_inset LatexCommand index
-name "T@\\TeX-braces"
+ \SpecialChar TeX
+ braces
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+T@\SpecialChar TeX
+-braces
+\end_layout
 
 \end_inset
 
 .
- If you add in a formula a left brace to a command name, LyX creates automatical
-ly a TeX-brace.
- In all other cases TeX-braces are created in formulas with the command
+ If you add in a formula a left brace to a command name, \SpecialChar LyX
+ automatically
+ creates a \SpecialChar TeX
+ brace.
+ In all other cases \SpecialChar TeX
+ braces are created in formulas with the command 
 \series bold
 
 \backslash
 {
 \series default
 .
- TeX-braces appear red in LyX, in contrary to normal braces that appear
- blue.
- In TeX-mode no command is needed to get TeX-braces.
- TeX-braces don't appear in the output.
+ \SpecialChar TeX
+ braces appear red in \SpecialChar LyX
+, in contrary to normal braces which appear blue.
+ In \SpecialChar TeX
+ mode no command is needed to get \SpecialChar TeX
+ braces.
+ \SpecialChar TeX
+ braces don't appear in the output.
 \end_layout
 
 \begin_layout Standard
 When commands without arguments, like commands for symbols are entered in
- TeX-mode, a space character must 
+ \SpecialChar TeX
+ mode, a space character must 
 \emph on
 always
 \emph default
@@ -903,56 +902,27 @@ always
 
 \begin_layout Standard
 A protected space is inserted with 
-\family sans
-Ctrl-Space
-\family default
+\begin_inset Info
+type  "shortcuts"
+arg   "command-alternatives space-insert protected ; math-space"
+\end_inset
+
 .
 \end_layout
 
 \begin_layout Subsection*
+\begin_inset Newpage newpage
+\end_inset
 
-\newpage
 Syntax Explanation
 \end_layout
 
 \begin_layout Itemize
-The symbol
-\begin_inset Foot
-status collapsed
-
-\begin_layout Standard
-This visible space character can be created with the command 
-\series bold
-
-\backslash
-textvisiblespace
-\series default
-
-\begin_inset LatexCommand index
-name "Commands ! T ! \\textbackslash textvisiblespace"
-
-\end_inset
-
-, inserted in TeX-mode.
-\end_layout
-
+The symbol 
+\begin_inset space \textvisiblespace{}
 \end_inset
 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
-\end_inset
-
-\InsetSpace ~
-denotes a space character to be input.
+ denotes a space character to be input.
 \end_layout
 
 \begin_layout Itemize
@@ -961,11 +931,36 @@ An arrow like
 \end_inset
 
  denotes the usage of the corresponding arrow key on the keyboard.
-\end_layout
-
-\begin_layout Subsection*
-Used units
-\end_layout
+ The 
+\family sans
+Tab
+\family default
+ key can often be used instead of 
+\begin_inset Formula $\to$
+\end_inset
+
+ and 
+\begin_inset Formula $\downarrow$
+\end_inset
+
+, and 
+\family sans
+Shift+Tab
+\family default
+ instead of 
+\begin_inset Formula $\leftarrow$
+\end_inset
+
+ and 
+\begin_inset Formula $\uparrow$
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Subsection*
+Available units
+\end_layout
 
 \begin_layout Standard
 \align center
@@ -975,17 +970,18 @@ wide false
 sideways false
 status open
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \align center
-\begin_inset Caption
+\begin_inset Caption Standard
 
-\begin_layout Standard
-\begin_inset LatexCommand label
-name "tab:Used-units"
+\begin_layout Plain Layout
+\begin_inset CommandInset label
+LatexCommand label
+name "tab:Available-units"
 
 \end_inset
 
-Used units
+Available units
 \end_layout
 
 \end_inset
@@ -993,245 +989,287 @@ Used units
 
 \end_layout
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="13" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Unit
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Name / Description
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 mm
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Millimeter
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 cm
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Centimeter
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 in
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Inch (1\InsetSpace \thinspace{}
-in = 2,54\InsetSpace \thinspace{}
+\begin_layout Plain Layout
+Inch (1
+\begin_inset space \thinspace{}
+\end_inset
+
+in = 2,54
+\begin_inset space \thinspace{}
+\end_inset
+
 cm)
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 pt
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Point (72.27\InsetSpace \thinspace{}
-pt = 1\InsetSpace \thinspace{}
+\begin_layout Plain Layout
+Point (72.27
+\begin_inset space \thinspace{}
+\end_inset
+
+pt = 1
+\begin_inset space \thinspace{}
+\end_inset
+
 in)
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 pc
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Pica (1\InsetSpace \thinspace{}
-pc = 12\InsetSpace \thinspace{}
+\begin_layout Plain Layout
+Pica (1
+\begin_inset space \thinspace{}
+\end_inset
+
+pc = 12
+\begin_inset space \thinspace{}
+\end_inset
+
 pt)
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 sp
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-scaled point (65536\InsetSpace \thinspace{}
-sp = 1\InsetSpace \thinspace{}
+\begin_layout Plain Layout
+scaled point (65536
+\begin_inset space \thinspace{}
+\end_inset
+
+sp = 1
+\begin_inset space \thinspace{}
+\end_inset
+
 pt)
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 bp
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-big point (72\InsetSpace \thinspace{}
-bp = 1\InsetSpace \thinspace{}
+\begin_layout Plain Layout
+big point (72
+\begin_inset space \thinspace{}
+\end_inset
+
+bp = 1
+\begin_inset space \thinspace{}
+\end_inset
+
 in)
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 dd
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Didot (1\InsetSpace \thinspace{}
+\begin_layout Plain Layout
+Didot (1
+\begin_inset space \thinspace{}
+\end_inset
+
 dd 
 \begin_inset Formula $\approx$
 \end_inset
 
- 0.376\InsetSpace \thinspace{}
+ 0.376
+\begin_inset space \thinspace{}
+\end_inset
+
 mm)
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 cc
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Cicero (1\InsetSpace \thinspace{}
-cc = 12\InsetSpace \thinspace{}
+\begin_layout Plain Layout
+Cicero (1
+\begin_inset space \thinspace{}
+\end_inset
+
+cc = 12
+\begin_inset space \thinspace{}
+\end_inset
+
 dd)
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 ex
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Height of letter 
 \emph on
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 em
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 width of letter 
 \begin_inset Quotes eld
 \end_inset
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 mu
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-math unit (1\InsetSpace \thinspace{}
-mu = 
-\begin_inset Formula $\nicefrac{1}{18}$
+\begin_layout Plain Layout
+math unit (1
+\begin_inset space \thinspace{}
 \end_inset
 
-\InsetSpace \thinspace{}
-em)
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Standard
-The command 
-\series bold
-
-\backslash
-textfrac
-\series default
- is explained in sec.\InsetSpace \thinspace{}
-
-\begin_inset LatexCommand ref
-reference "sub:Self-defined-Fractions"
-
+mu = 
+\begin_inset Formula $\nicefrac{1}{18}$
 \end_inset
 
-.
-\end_layout
 
+\begin_inset space \thinspace{}
 \end_inset
 
-
+em)
 \end_layout
 
 \end_inset
@@ -1344,8 +1365,9 @@ reference "sub:Self-defined-Fractions"
 \end_layout
 
 \begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
 
-\newpage
 
 \end_layout
 
@@ -1355,26 +1377,86 @@ Basic Functions
 
 \begin_layout Subsection
 Exponents
-\begin_inset LatexCommand index
-name "Exponents"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Exponents
+\end_layout
 
 \end_inset
 
  and Indices
-\begin_inset LatexCommand index
-name "Indices"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Indices
+\end_layout
+
+\end_inset
+
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Superscripts|see
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+{
+\end_layout
+
+\end_inset
+
+Exponents
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+}
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Subscripts|see
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+{
+\end_layout
 
 \end_inset
 
+Indices
+\begin_inset ERT
+status collapsed
 
-\begin_inset LatexCommand index
-name "Superscripts|see{Exponents}"
+\begin_layout Plain Layout
+
+}
+\end_layout
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Subscripts|see{Indices}"
+\end_layout
 
 \end_inset
 
 \end_inset
 
  or via the math toolbar button 
-\begin_inset Graphics
-       filename ../images/math-subscript.png
-       scale 85
-
+\begin_inset Info
+type  "icon"
+arg   "math-subscript"
 \end_inset
 
- , exponents with a caret 
+, exponents with a caret 
 \begin_inset Quotes eld
 \end_inset
 
@@ -1406,10 +1487,9 @@ _
 \end_inset
 
  or via the math toolbar button 
-\begin_inset Graphics
-       filename ../images/math-superscript.png
-       scale 85
-
+\begin_inset Info
+type  "icon"
+arg   "math-superscript"
 \end_inset
 
 .
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-command
+\begin_layout Plain Layout
+Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 B_V
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $B_{V}$
 \end_inset
 
@@ -1481,21 +1545,21 @@ B_V
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 B^V
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{5mm}{}B^{V}$
+\begin_layout Plain Layout
+\begin_inset Formula $B^{V}$
 \end_inset
 
 
@@ -1504,22 +1568,13 @@ B^V
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 B^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 A
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{5mm}{}B^{A}$
+\begin_layout Plain Layout
+\begin_inset Formula $B^{A}$
 \end_inset
 
 
@@ -1553,15 +1608,15 @@ As the caret is in some languages an accent, vowels will be accentuated
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
-Depending on the used keyboard settings this can also happen for other character
-s than vowels.
+\begin_layout Plain Layout
+Depending on the used keyboard settings this can also happen for characters
+ other than vowels.
 \end_layout
 
 \end_inset
 
 .
- To get in this case exponents, press 
+ To get exponents in this case, press 
 \family sans
 Space
 \family default
@@ -1570,14 +1625,19 @@ Space
 
 \begin_layout Subsection
 Fractions
-\begin_inset LatexCommand label
-name "sub:Fractions"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Fractions"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Fractions"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Fractions
+\end_layout
 
 \end_inset
 
@@ -1592,26 +1652,30 @@ Fractions are generated with the command
 frac
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! F ! \\textbackslash frac"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! F ! 
+\backslash
+frac
+\end_layout
 
 \end_inset
 
  or via the math toolbar button 
-\begin_inset Graphics
-       filename ../images/math/frac.png
-       scale 50
-
+\begin_inset Info
+type  "icon"
+arg   "math-insert \\frac"
 \end_inset
 
 .
  The font size is adjusted automatically, depending on whether the fraction
  is in an inline or display style formula.
  With the math toolbar button 
-\begin_inset Graphics
-       filename ../images/math/frac-square.png
-       scale 85
-
+\begin_inset Info
+type  "icon"
+arg   "math-insert \\frac-square"
 \end_inset
 
  you can select different fraction types.
@@ -1623,27 +1687,38 @@ With the command
 
 \backslash
 dfrac
-\begin_inset LatexCommand index
-name "Commands ! D ! \\textbackslash dfrac"
+\series default
 
-\end_inset
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! D ! 
+\backslash
+dfrac
+\end_layout
 
+\end_inset
 
-\series default
- a fraction can be created that has in any case the size of a display style
- formula.
+ a fraction can be created that always has the size of a display style formula.
  With 
 \series bold
 
 \backslash
 tfrac
-\begin_inset LatexCommand index
-name "Commands ! T ! \\textbackslash tfrac"
+\series default
 
-\end_inset
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! T ! 
+\backslash
+tfrac
+\end_layout
 
+\end_inset
 
-\series default
  the fraction appears always with the size of an inline formula.
  An example:
 \end_layout
@@ -1680,63 +1755,38 @@ dfrac
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 A
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{4.5mm}{}\frac{A}{B}\raisebox{-2.5mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $\frac{A}{B}$
 \end_inset
 
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="2mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 dfrac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 A
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{7mm}{}\dfrac{A}{B}\raisebox{-4mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $\dfrac{A}{B}$
 \end_inset
 
 
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<row topspace="2mm" bottomspace="1mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 dfrac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 e^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
-\end_inset
-
-
 \backslash
 frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 1
@@ -1864,11 +1874,11 @@ spce
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{8mm}{}\dfrac{e^{\frac{1}{2}}}{3}\raisebox{-4mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $\dfrac{e^{\frac{1}{2}}}{3}$
 \end_inset
 
 
@@ -1889,7 +1899,9 @@ spce
 \end_inset
 
 
-\newpage
+\begin_inset Newpage newpage
+\end_inset
+
 For nested fractions the command 
 \series bold
 
@@ -1897,13 +1909,19 @@ For nested fractions the command
 cfrac
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! C ! \\textbackslash cfrac"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! C ! 
+\backslash
+cfrac
+\end_layout
 
 \end_inset
 
  can be used.
- Here an example:
+ Here is an example:
 \begin_inset VSpace -3mm
 \end_inset
 
@@ -1911,9 +1929,11 @@ name "Commands ! C ! \\textbackslash cfrac"
 \end_layout
 
 \begin_layout Standard
-\begin_inset Formula \begin{align*}
+\begin_inset Formula 
+\begin{align*}
 \textrm{created with \textbf{\textbackslash frac}} &  & \textrm{created with \textbf{\textbackslash cfrac}}\\
-\frac{A}{B+\frac{C+\frac{E}{F}}{D}} &  & \cfrac{A}{B+\cfrac{C+\cfrac{E}{F}}{D}}\end{align*}
+\frac{A}{B+\frac{C+\frac{E}{F}}{D}} &  & \cfrac{A}{B+\cfrac{C+\cfrac{E}{F}}{D}}
+\end{align*}
 
 \end_inset
 
@@ -1929,29 +1949,35 @@ The command for the example above is:
 \series bold
 
 \backslash
-cfrac{A
-\begin_inset Formula $\to$
+cfrac
+\begin_inset space \textvisiblespace{}
 \end_inset
 
+A
+\begin_inset Formula $\downarrow$
+\end_inset
 
+B+
 \backslash
-{B+
-\backslash
-cfrac{C+
-\backslash
-cfrac{E
-\begin_inset Formula $\to$
+cfrac
+\begin_inset space \textvisiblespace{}
 \end_inset
 
-
+C+
 \backslash
-{F
-\begin_inset Formula $\to\to$
+cfrac
+\begin_inset space \textvisiblespace{}
 \end_inset
 
+E
+\begin_inset Formula $\downarrow$
+\end_inset
 
-\backslash
-{D
+F
+\begin_inset Formula $\downarrow$
+\end_inset
+
+D
 \end_layout
 
 \begin_layout Standard
@@ -1970,59 +1996,79 @@ cfrac
 \series default
  sets the fraction always in the size of a displayed formula, also when
  it is part of another fraction.
+\end_layout
+
+\begin_layout Standard
+It is possible to specify the alignment of the numerator.
+ The command 
+\series bold
+
+\backslash
+cfracleft
+\series default
+ is used to left align it, the command 
+\series bold
+
+\backslash
+cfracright
+\series default
+ to right-align it.
  
 \series bold
 
 \backslash
 cfrac
 \series default
- has the following command scheme:
+ centers the numerator.
+ These fractions demonstrate the different alignments:
 \end_layout
 
 \begin_layout Standard
 
 \series bold
+\begin_inset Formula 
+\[
+\cfrac[l]{A}{B+C}\,,\,\cfrac{A}{B+C}\,,\,\cfrac[r]{A}{B+C}
+\]
+
+\end_inset
+
 
-\backslash
-cfrac[numerator position]{numerator}{denominator}
 \end_layout
 
 \begin_layout Standard
-The numerator position can be 
-\emph on
-l
-\emph default
- , 
-\emph on
-c
-\emph default
-, or 
-\emph on
-r
-\emph default
- .
- l or r aligns the numerator to the left or right, resp.\InsetSpace ~
-with the fraction
- stroke.
- When 
-\emph on
-c
-\emph default
- or no position is given, the numerator appears centered.
- These fractions demonstrate the different alignments:
-\newline
+\begin_inset Note Greyedout
+status open
+
+\begin_layout Plain Layout
+
+\series bold
+Note:
+\series default
+\series bold
 
+\backslash
+cfracleft
+\series default
+ and 
 \series bold
 
-\begin_inset Formula $\cfrac[l]{A}{B+C}$
-\end_inset
+\backslash
+cfracright
+\series default
+ are no real \SpecialChar LaTeX
+ commands but represent the command 
+\series bold
 
-, 
-\begin_inset Formula $\cfrac{A}{B+C}$
-\end_inset
+\backslash
+cfrac[alignment]{numerator}{denominator}
+\series default
+ .
+ Therefore you cannot use them in \SpecialChar TeX
+ code.
+\end_layout
 
-, 
-\begin_inset Formula $\cfrac[r]{A}{B+C}$
 \end_inset
 
 
@@ -2045,8 +2091,10 @@ cfrac
 frac
 \series default
 :
-\begin_inset Formula \[
-\cfrac{A}{B+\cfrac{C+\frac{E}{F}}{D}}\]
+\begin_inset Formula 
+\[
+\cfrac{A}{B+\cfrac{C+\frac{E}{F}}{D}}
+\]
 
 \end_inset
 
@@ -2060,116 +2108,87 @@ For inline fractions with a sloped fraction stroke you can use the command
 
 \backslash
 nicefrac
-\begin_inset LatexCommand index
-name "Commands ! N ! \\textbackslash nicefrac"
-
-\end_inset
-
-
 \series default
-: 
-\begin_inset Formula $\nicefrac{5}{31}$
-\end_inset
 
+\begin_inset Index idx
+status collapsed
 
+\begin_layout Plain Layout
+Commands ! N ! 
+\backslash
+nicefrac
 \end_layout
 
-\begin_layout Standard
-How to define own fractions where the fraction stroke can be changed, is
- explained in 
-\begin_inset LatexCommand ref
-reference "sub:Self-defined-Fractions"
-
 \end_inset
 
-.
-\end_layout
-
-\begin_layout Subsection
-Roots
-\begin_inset LatexCommand index
-name "Roots"
-
+: 
+\begin_inset Formula $\nicefrac{5}{31}$
 \end_inset
 
-
-\end_layout
-
-\begin_layout Standard
-Square roots are created with 
+ or 
 \series bold
 
 \backslash
-sqrt
+unitfrac
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! S ! \\textbackslash sqrt"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! U ! 
+\backslash
+unitfrac
+\end_layout
 
 \end_inset
 
- or the math toolbar button 
-\begin_inset Graphics
-       filename ../images/math/sqrt.png
-       scale 85
-
+: 
+\begin_inset Formula $\unitfrac{5}{31}$
 \end_inset
 
-, all other roots with the command 
+ There is furthermore the command 
 \series bold
 
 \backslash
-root
+unitfracthree
 \series default
-
-\begin_inset LatexCommand index
-name "Commands ! R ! \\textbackslash root"
-
+ that offers to write a fraction in combination with a number: 
+\begin_inset Formula $\unitfrac[2]{1}{3}$
 \end_inset
 
- or with the math toolbar button 
-\begin_inset Graphics
-       filename ../images/math/root.png
-       scale 85
-
-\end_inset
 
-.
 \end_layout
 
 \begin_layout Standard
-\align center
-\begin_inset Tabular
-<lyxtabular version="3" rows="3" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
+\begin_inset Note Greyedout
+status open
 
-\begin_layout Standard
-Command
-\end_layout
+\begin_layout Plain Layout
 
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
+\series bold
+Note:
+\series default
+\series bold
 
-\begin_layout Standard
-Result
-\begin_inset Note Note
-status collapsed
+\backslash
+unitfracthree
+\series default
+ is not a real \SpecialChar LaTeX
+ command but the command
+\begin_inset Newline newline
+\end_inset
 
-\begin_layout Standard
 
 \series bold
 
 \backslash
-raisebox
+unitfrac[number]{numerator}{denominator}
 \series default
- is only used as spacer.
+ .
+ Therefore you cannot use it in \SpecialChar TeX
+ code.
 \end_layout
 
 \end_inset
@@ -2177,65 +2196,160 @@ raisebox
 
 \end_layout
 
+\begin_layout Standard
+How to define own fractions where the fraction stroke can be changed, is
+ explained in 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Self-defined-Fractions"
+
 \end_inset
-</cell>
-</row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
+
+.
+\end_layout
 
 \begin_layout Standard
+Multiline fractions are explained in 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Multiline-Fractions"
 
-\backslash
-sqrt
-\begin_inset ERT
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Subsection
+Roots
+\begin_inset Index idx
 status collapsed
 
+\begin_layout Plain Layout
+Roots
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
 \begin_layout Standard
+Square roots are created with 
+\series bold
+
+\backslash
+sqrt
+\series default
 
+\begin_inset Index idx
+status collapsed
 
+\begin_layout Plain Layout
+Commands ! S ! 
 \backslash
-spce 
+sqrt
 \end_layout
 
 \end_inset
 
-A-B
+ or the math toolbar button 
+\begin_inset Info
+type  "icon"
+arg   "math-insert \\sqrt"
+\end_inset
+
+, all other roots with the command 
+\series bold
+
+\backslash
+root
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! R ! 
+\backslash
+root
 \end_layout
 
 \end_inset
-</cell>
-<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{4.5mm}{}\sqrt{A-B}$
+ or with the math toolbar button 
+\begin_inset Info
+type  "icon"
+arg   "math-insert \\root"
 \end_inset
 
+.
+\end_layout
+
+\begin_layout Standard
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="3" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Command
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
+Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-root
-\begin_inset ERT
-status collapsed
+sqrt
+\begin_inset space \textvisiblespace{}
+\end_inset
 
-\begin_layout Standard
+A-B
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\sqrt{A-B}$
+\end_inset
 
 
-\backslash
-spce 
 \end_layout
 
+\end_inset
+</cell>
+</row>
+<row topspace="1mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+root
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 3
@@ -2247,11 +2361,11 @@ A-B
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{4.5mm}{}\sqrt[3]{A-B}$
+\begin_layout Plain Layout
+\begin_inset Formula $\sqrt[3]{A-B}$
 \end_inset
 
 
@@ -2284,7 +2398,9 @@ With certain indices the distance to the root is too small, like in this
 \end_inset
 
 
-\newline
+\begin_inset Newline newline
+\end_inset
+
 The 
 \begin_inset Formula $\beta$
 \end_inset
@@ -2297,8 +2413,14 @@ The
 leftroot
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! L ! \\textbackslash leftroot"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! L ! 
+\backslash
+leftroot
+\end_layout
 
 \end_inset
 
@@ -2309,8 +2431,14 @@ name "Commands ! L ! \\textbackslash leftroot"
 uproot
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! U ! \\textbackslash uproot"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! U ! 
+\backslash
+uproot
+\end_layout
 
 \end_inset
 
@@ -2333,13 +2461,15 @@ uproot{distance}
 
 \begin_layout Standard
 Distance is the number of Big Points (unit bp; 
-\begin_inset Formula $\mathrm{72\, bp=1\, inch}$
+\begin_inset Formula $\mathrm{72\,bp=1\,inch}$
 \end_inset
 
 ), that the index should be moved to the left or top, resp..
  The commands are written to the index.
  This way the command
-\newline
+\begin_inset Newline newline
+\end_inset
+
 
 \series bold
 
@@ -2359,16 +2489,7 @@ uproot{2
 
 \backslash
 beta
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
@@ -2376,7 +2497,9 @@ spce
 \end_inset
 
 B
-\newline
+\begin_inset Newline newline
+\end_inset
+
 
 \series default
 produces a correct typeset formula: 
@@ -2387,9 +2510,13 @@ produces a correct typeset formula:
 \end_layout
 
 \begin_layout Subsection
-Binomial coefficients 
-\begin_inset LatexCommand index
-name "Binomial coefficient s"
+Binomial Coefficients
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Binomial coefficients
+\end_layout
 
 \end_inset
 
@@ -2404,129 +2531,164 @@ Binomial coefficients are inserted with the command
 binom
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! B ! \\textbackslash binom"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! B ! 
+\backslash
+binom
+\end_layout
 
 \end_inset
 
  or with the submenu of the math toolbar button 
-\begin_inset Graphics
-       filename ../images/math/frac-square.png
-       scale 85
-
+\begin_inset Info
+type  "icon"
+arg   "math-insert \\frac-square"
 \end_inset
 
 .
-\end_layout
+ As with fractions (
+\series bold
 
-\begin_layout Standard
-\align center
-\begin_inset Tabular
-<lyxtabular version="3" rows="3" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
+\backslash
+frac
+\series default
+) in addition to 
+\series bold
 
-\begin_layout Standard
-Command
-\end_layout
+\backslash
+binom
+\series default
+ there are the commands 
+\series bold
 
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
+\backslash
+dbinom
+\series default
 
-\begin_layout Standard
-Result
-\begin_inset Note Note
+\begin_inset Index idx
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
+Commands ! D ! 
+\backslash
+dbinom
+\end_layout
+
+\end_inset
 
+ and 
 \series bold
 
 \backslash
-raisebox
+tbinom
 \series default
- is only used as spacer.
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! T ! 
+\backslash
+tbinom
 \end_layout
 
 \end_inset
 
+.
+ For other brackets around binomial coeficients there are the commands 
+\series bold
+
+\backslash
+brace
+\series default
+
+\begin_inset Index idx
+status collapsed
 
+\begin_layout Plain Layout
+Commands ! B ! 
+\backslash
+brace
 \end_layout
 
 \end_inset
-</cell>
-</row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
+ and 
+\series bold
 
 \backslash
-binom
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
+brack
+\series default
 
+\begin_inset Index idx
+status collapsed
 
+\begin_layout Plain Layout
+Commands ! B ! 
 \backslash
-spce 
+brack
 \end_layout
 
 \end_inset
 
-A
-\begin_inset Formula $\downarrow$
-\end_inset
+.
+\end_layout
 
-B
+\begin_layout Standard
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="6" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{5mm}{}\binom{A}{B}\raisebox{-2.5mm}{}$
-\end_inset
-
-
+\begin_layout Plain Layout
+Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-dbinom{A
-\begin_inset Formula $\to$
+binom
+\begin_inset space \textvisiblespace{}
 \end_inset
 
+A
+\begin_inset Formula $\downarrow$
+\end_inset
 
-\backslash
-{B
+B
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{5mm}{}\dbinom{A}{B}\raisebox{-2.5mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $\binom{A}{B}$
 \end_inset
 
 
@@ -2535,73 +2697,153 @@ dbinom{A
 \end_inset
 </cell>
 </row>
-</lyxtabular>
+<row topspace="2mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
 
+\backslash
+dbinom
+\begin_inset space \textvisiblespace{}
 \end_inset
 
+A
+\begin_inset Formula $\downarrow$
+\end_inset
 
+B
 \end_layout
 
-\begin_layout Standard
-Analog to fractions (
-\series bold
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
-\backslash
-frac
-\series default
-) there are besides 
-\series bold
+\begin_layout Plain Layout
+\begin_inset Formula $\dbinom{A}{B}$
+\end_inset
 
-\backslash
-binom
-\series default
- the commands 
-\series bold
 
-\backslash
-dbinom
-\begin_inset LatexCommand index
-name "Commands ! D ! \\textbackslash dbinom"
+\end_layout
 
 \end_inset
+</cell>
+</row>
+<row topspace="2mm" bottomspace="0.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
-
-\series default
- and 
-\series bold
+\begin_layout Plain Layout
 
 \backslash
 tbinom
-\series default
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A
+\begin_inset Formula $\downarrow$
+\end_inset
+
+B
+\end_layout
 
-\begin_inset LatexCommand index
-name "Commands ! T ! \\textbackslash tbinom"
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
+\begin_inset Formula $\tbinom{A}{B}$
 \end_inset
 
- with the following command scheme:
+
 \end_layout
 
-\begin_layout Standard
+\end_inset
+</cell>
+</row>
+<row topspace="1mm">
+<cell alignment="center" valignment="top" topline="true" usebox="none">
+\begin_inset Text
 
-\series bold
+\begin_layout Plain Layout
 
 \backslash
-dbinom{numerator}{denominator}
-\series default
- and
-\newline
+brack
+\begin_inset space \textvisiblespace{}
+\end_inset
 
-\series bold
+A
+\begin_inset Formula $\downarrow$
+\end_inset
+
+B
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula ${A \brack B}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row topspace="2mm" bottomspace="0.5mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
 
 \backslash
-tbinom{numerator}{denominator}
+brace
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A
+\begin_inset Formula $\downarrow$
+\end_inset
+
+B
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula ${A \brace B}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
+
+
 \end_layout
 
 \begin_layout Subsection
+Case Differentiations
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
 Case differentiations 
-\begin_inset LatexCommand index
-name "Case differentiations "
+\end_layout
 
 \end_inset
 
@@ -2612,47 +2854,38 @@ name "Case differentiations "
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 cases
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 A
@@ -2660,8 +2893,14 @@ A
 \end_inset
 
 B>0
-\begin_inset LatexCommand index
-name "Commands ! C ! \\textbackslash cases"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! C ! 
+\backslash
+cases
+\end_layout
 
 \end_inset
 
@@ -2670,10 +2909,10 @@ name "Commands ! C ! \\textbackslash cases"
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\begin{cases}
 A & B>0\end{cases}$
 \end_inset
@@ -2684,38 +2923,36 @@ A & B>0\end{cases}$
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 cases
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
+\begin_inset space \textvisiblespace{}
+\end_inset
 
-\backslash
-spce 
-\end_layout
 
+\begin_inset Info
+type  "shortcut"
+arg   "newline-insert newline"
 \end_inset
 
-Ctrl-Enter
+
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\begin{cases}
 A & \textrm{for }x>0\\
-B & \textrm{for }x=0\end{cases}$
+B & \textrm{for }x=0
+\end{cases}$
 \end_inset
 
 
@@ -2738,22 +2975,22 @@ After inserting
 \backslash
 cases
 \series default
- or the usage of the math toolbar button 
-\begin_inset Graphics
-       filename ../images/math/cases.png
-       scale 85
-
+ or pressing the math toolbar button 
+\begin_inset Info
+type  "icon"
+arg   "math-insert \\cases"
 \end_inset
 
  you can create new lines with the shortcut 
-\family sans
-Ctrl-Return
-\family default
- or the table toolbar button 
-\begin_inset Graphics
-       filename ../images/tabular-feature_append-row.png
-       scale 85
+\begin_inset Info
+type  "shortcut"
+arg   "newline-insert newline"
+\end_inset
 
+ or the table toolbar button 
+\begin_inset Info
+type  "icon"
+arg   "tabular-feature append-row"
 \end_inset
 
 .
@@ -2768,8 +3005,8 @@ cases
 \series default
  is also available via the menu 
 \family sans
-Insert\SpecialChar \menuseparator
-Math\SpecialChar \menuseparator
+Insert\SpecialChar menuseparator
+Math\SpecialChar menuseparator
 Cases-Environment
 \family default
 .
@@ -2777,8 +3014,12 @@ Cases-Environment
 
 \begin_layout Subsection
 Negations
-\begin_inset LatexCommand index
-name "Negations"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Negations
+\end_layout
 
 \end_inset
 
@@ -2786,15 +3027,21 @@ name "Negations"
 \end_layout
 
 \begin_layout Standard
-By inserting of 
+By inserting 
 \series bold
 
 \backslash
 not
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! N ! \\textbackslash not"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! N ! 
+\backslash
+not
+\end_layout
 
 \end_inset
 
@@ -2806,34 +3053,34 @@ name "Commands ! N ! \\textbackslash not"
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 not=
@@ -2841,10 +3088,10 @@ not=
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\not=$
 \end_inset
 
@@ -2854,11 +3101,11 @@ not=
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 not 
@@ -2868,10 +3115,10 @@ le
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\not\le$
 \end_inset
 
@@ -2881,11 +3128,11 @@ le
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 not 
@@ -2895,10 +3142,10 @@ parallel
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\not\parallel$
 \end_inset
 
@@ -2916,15 +3163,17 @@ parallel
 \end_layout
 
 \begin_layout Standard
-The last example shows, that not all negations look good.
- Therefore there are for some negations special commands (see 
-\begin_inset LatexCommand ref
-reference "sub:Mathematical-Symbols"
+The last example shows that not all negations look good.
+ Therefore there are special commands for some negations (see 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Mathematical-Symbols"
 
 \end_inset
 
  and 
-\begin_inset LatexCommand ref
+\begin_inset CommandInset ref
+LatexCommand ref
 reference "sec:Relations"
 
 \end_inset
@@ -2934,26 +3183,61 @@ reference "sec:Relations"
 
 \begin_layout Subsection
 Placeholders
-\begin_inset LatexCommand label
-name "sub:Placeholders"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Placeholders"
+
+\end_inset
+
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Placeholders
+\end_layout
+
+\end_inset
+
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Chemical characters ! Isotopes
+\end_layout
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Placeholders"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Isotopes|see
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+{
+\end_layout
 
 \end_inset
 
+Chemical characters
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
 
-\begin_inset LatexCommand index
-name "Chemical characters ! Isotopes"
+}
+\end_layout
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Isotopes|see{Chemical characters}"
+\end_layout
 
 \end_inset
 
@@ -2961,16 +3245,23 @@ name "Isotopes|see{Chemical characters}"
 \end_layout
 
 \begin_layout Standard
-When displaying e.\InsetSpace \thinspace{}
-g.\InsetSpace ~
+When displaying e.
+\begin_inset space \thinspace{}
+\end_inset
+
+g.
+\begin_inset space \space{}
+\end_inset
+
 isotopes
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
-More about chemical symbols is written in 
-\begin_inset LatexCommand ref
-reference "sub:Chemical-Symbols-and"
+\begin_layout Plain Layout
+Typesetting isotopes and chemical symbols is described in 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Chemical-Symbols-and"
 
 \end_inset
 
@@ -2986,24 +3277,24 @@ reference "sub:Chemical-Symbols-and"
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features>
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Indices created with sub- and superscripts:
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $_{9}^{19}\mathrm{F}\raisebox{-3mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $_{9}^{19}\mathrm{F}$
 \end_inset
 
 
@@ -3012,20 +3303,20 @@ Indices created with sub- and superscripts:
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 correct indices:
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $_{\phantom{1}9}^{19}\mathrm{F}$
 \end_inset
 
@@ -3040,22 +3331,6 @@ correct indices:
 \end_inset
 
 
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -3068,22 +3343,30 @@ The shorter index is by default placed below or above the first character
 phantom
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! P ! \\textbackslash phantom"
+\begin_inset Index idx
+status collapsed
 
-\end_inset
+\begin_layout Plain Layout
+Commands ! P ! 
+\backslash
+phantom
+\end_layout
+
+\end_inset
+
+ or the math toolbar button
+\begin_inset space \thinspace{}
+\end_inset
 
- or the math toolbar button\InsetSpace \thinspace{}
 
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 can be found in the submenu of the toolbar button 
-\begin_inset Graphics
-       filename ../images/math/space.png
-       scale 85
-
+\begin_inset Info
+type  "icon"
+arg   "math-insert \\space"
 \end_inset
 
 
@@ -3092,10 +3375,9 @@ can be found in the submenu of the toolbar button
 \end_inset
 
  
-\begin_inset Graphics
-       filename ../images/math/phantom.png
-       scale 85
-
+\begin_inset Info
+type  "icon"
+arg   "math/phantom"
 \end_inset
 
  that creates one or more phantom characters.
@@ -3115,76 +3397,42 @@ phantom
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 ^19
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 _
 \backslash
 phantom
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 1
@@ -3192,16 +3440,7 @@ spce
 \end_inset
 
 9
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 F
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{4.5mm}{}{}_{\phantom{1}9}^{19}\mathrm{F}\raisebox{-2.5mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $_{\phantom{1}9}^{19}\mathrm{F}$
 \end_inset
 
 
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm" bottomspace="0.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 ^235
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 _
 \backslash
 phantom
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 23
@@ -3260,16 +3481,7 @@ spce
 \end_inset
 
 9
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 F
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{4.5mm}{}{}_{\phantom{23}9}^{235}\mathrm{F}\raisebox{-2.5mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $_{\phantom{23}9}^{235}\mathrm{F}$
 \end_inset
 
 
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm" bottomspace="0.5mm">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Lambda^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
 \backslash
 phantom
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 ii
@@ -3330,16 +3524,7 @@ ii
 \end_inset
 
 t
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 _MMt
@@ -3347,11 +3532,11 @@ _MMt
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{4.5mm}{}\Lambda_{MMt}^{\phantom{ii}t}\raisebox{-2.5mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $\Lambda_{MMt}^{\phantom{ii}t}$
 \end_inset
 
 
@@ -3375,17 +3560,21 @@ Furthermore there are the commands
 vphantom
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! V ! \\textbackslash vphantom"
-
-\end_inset
+\begin_inset Index idx
+status collapsed
 
- (toolbar button \InsetSpace ~
+\begin_layout Plain Layout
+Commands ! V ! 
+\backslash
+vphantom
+\end_layout
 
-\begin_inset Graphics
-       filename ../images/math/vphantom.png
-       scale 85
+\end_inset
 
+ (toolbar button 
+\begin_inset Info
+type  "icon"
+arg   "math/vphantom"
 \end_inset
 
 ) and 
@@ -3395,17 +3584,21 @@ name "Commands ! V ! \\textbackslash vphantom"
 hphantom
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! H ! \\textbackslash hphantom"
-
-\end_inset
+\begin_inset Index idx
+status collapsed
 
- (toolbar button \InsetSpace ~
+\begin_layout Plain Layout
+Commands ! H ! 
+\backslash
+hphantom
+\end_layout
 
-\begin_inset Graphics
-       filename ../images/math/hphantom.png
-       scale 85
+\end_inset
 
+ (toolbar button 
+\begin_inset Info
+type  "icon"
+arg   "math/hphantom"
 \end_inset
 
 ).
@@ -3428,36 +3621,23 @@ vphantom
 \end_layout
 
 \begin_layout Standard
-For example creates 
+For example the command 
 \series bold
 
 \backslash
 vphantom
-\series default
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
-
-\series bold
 a
 \backslash
 int
 \series default
- space for the height of the integral sign,
creates space for the height of the integral sign,
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 The command 
 \series bold
 
@@ -3465,8 +3645,9 @@ The command
 int
 \series default
  creates an integral sign, see 
-\begin_inset LatexCommand ref
-reference "sub:Big-Operators"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Big-Operators"
 
 \end_inset
 
@@ -3477,24 +3658,62 @@ reference "sub:Big-Operators"
 
  because this is the larger character.
  An example application is in 
-\begin_inset LatexCommand ref
-reference "sub:Multiline-Brackets"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Multiline-Brackets"
 
 \end_inset
 
 .
 \end_layout
 
+\begin_layout Standard
+Placeholders can also be used for text when they are inserted via the menu
+\family sans
+Insert\SpecialChar menuseparator
+Formatting\SpecialChar menuseparator
+Phantom
+\family default
+:
+\end_layout
+
+\begin_layout Standard
+This is a sentence.
+\begin_inset Newline newline
+\end_inset
+
+
+\begin_inset Phantom Phantom
+status open
+
+\begin_layout Plain Layout
+This
+\end_layout
+
+\end_inset
+
+ is a sentence.
+\end_layout
+
 \begin_layout Subsection
 Lines
-\begin_inset LatexCommand index
-name "Lines"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Lines
+\end_layout
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Formula ! underlined"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Formula ! underlined
+\end_layout
 
 \end_inset
 
@@ -3505,81 +3724,62 @@ name "Formula ! underlined"
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="2mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 overline
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
+\begin_inset space \textvisiblespace{}
+\end_inset
 
+A+B
+\begin_inset Index idx
+status collapsed
 
+\begin_layout Plain Layout
+Commands ! O ! 
 \backslash
-spce 
+overline
 \end_layout
 
 \end_inset
 
-A+B
-\begin_inset LatexCommand index
-name "Commands ! O ! \\textbackslash overline"
-
-\end_inset
-
 
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{5mm}{}\overline{A+B}$
+\begin_layout Plain Layout
+\begin_inset Formula $\overline{A+B}$
 \end_inset
 
 
@@ -3588,42 +3788,39 @@ name "Commands ! O ! \\textbackslash overline"
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row bottomspace="1mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 underline
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
+\begin_inset space \textvisiblespace{}
+\end_inset
 
+A+B
+\begin_inset Index idx
+status collapsed
 
+\begin_layout Plain Layout
+Commands ! U ! 
 \backslash
-spce 
+underline
 \end_layout
 
 \end_inset
 
-A+B
-\begin_inset LatexCommand index
-name "Commands ! U ! \\textbackslash underline"
-
-\end_inset
-
 
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\underline{A+B}\raisebox{-2.5mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $\underline{A+B}$
 \end_inset
 
 
@@ -3632,102 +3829,197 @@ name "Commands ! U ! \\textbackslash underline"
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="2mm" bottomspace="1mm">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 overline
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
+\begin_inset space \textvisiblespace{}
+\end_inset
 
 
 \backslash
-spce 
+underline
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A+B
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
+\begin_inset Formula $\overline{\underline{A+B}}$
+\end_inset
 
-\backslash
-underline
-\begin_inset ERT
-status collapsed
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
+
+
+\end_layout
 
 \begin_layout Standard
+In the last example it doesn't matter if first 
+\series bold
 
+\backslash
+overline
+\series default
+ or 
+\series bold
 
 \backslash
-spce 
+underline
+\series default
+ is inserted.
 \end_layout
 
-\end_inset
+\begin_layout Standard
+To double underline use 
+\series bold
 
-A+B
+\backslash
+underline
+\series default
+ twice.
 \end_layout
 
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
+\begin_layout Standard
+It is possible to place up to 6 lines above or below characters.
+\end_layout
 
 \begin_layout Standard
-\begin_inset Formula $\raisebox{5mm}{}\overline{\underline{A+B}}\raisebox{-2.5mm}{}$
+\begin_inset VSpace bigskip
 \end_inset
 
+Custom lines can be created using the command 
+\series bold
+
+\backslash
+rule
+\series default
+
+\begin_inset Index idx
+status collapsed
 
+\begin_layout Plain Layout
+Commands ! R ! 
+\backslash
+rule
 \end_layout
 
 \end_inset
-</cell>
-</row>
-</lyxtabular>
 
-\end_inset
+ which has the following scheme:
+\end_layout
+
+\begin_layout Standard
 
+\series bold
 
+\backslash
+rule[vertical offset]{length}{thickness}
 \end_layout
 
 \begin_layout Standard
-In the last example it doesn't matter if first 
+The optional vertical offset shifts the line upwards (or downwards, when
+ the value is negative).
+ The units listed in 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "tab:Available-units"
+
+\end_inset
+
+ can be used for the values.
+ Here are two example lines created with the commands
+\begin_inset Newline newline
+\end_inset
+
+
 \series bold
 
 \backslash
-overline
+rule[-2ex]{3cm}{2pt}
 \series default
- or 
+ and 
 \series bold
 
 \backslash
-underline
+rule{2cm}{1pt}
 \series default
- is inserted.
+:
 \end_layout
 
 \begin_layout Standard
-To double underline e.\InsetSpace \thinspace{}
-g.
- results, one uses 
+This is a sentence 
+\begin_inset Formula $\rule[-2ex]{3cm}{2pt}\rule{2cm}{1pt}$
+\end_inset
+
+ with two lines.
+\end_layout
+
+\begin_layout Standard
+
 \series bold
 
 \backslash
-underline
+rule
 \series default
- twice.
+ can also be used for text when a line is inserted via the menu 
+\family sans
+Insert\SpecialChar menuseparator
+Formatting\SpecialChar menuseparator
+Horizontal
+\begin_inset space ~
+\end_inset
+
+Line
+\family default
+:
 \end_layout
 
 \begin_layout Standard
-It is possible to place up to 6 lines above or below characters.
+This is a sentence 
+\begin_inset CommandInset line
+LatexCommand rule
+offset "0.5ex"
+width "3cm"
+height "1pt"
+
+\end_inset
+
+ with one line.
 \end_layout
 
 \begin_layout Subsection
 Ellipses
-\begin_inset LatexCommand index
-name "Ellipses"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Ellipses"
+
+\end_inset
+
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Ellipses
+\end_layout
 
 \end_inset
 
@@ -3739,12 +4031,11 @@ There are different types of ellipses available.
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 In the math toolbar in the submenu of the button 
-\begin_inset Graphics
-       filename ../images/math/ldots.png
-       scale 85
-
+\begin_inset Info
+type  "icon"
+arg   "math-insert \\ldots"
 \end_inset
 
 
@@ -3759,8 +4050,14 @@ In the math toolbar in the submenu of the button
 ldots
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! L ! \\textbackslash ldots"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! L ! 
+\backslash
+ldots
+\end_layout
 
 \end_inset
 
@@ -3772,8 +4069,14 @@ name "Commands ! L ! \\textbackslash ldots"
 cdots
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! C ! \\textbackslash cdots"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! C ! 
+\backslash
+cdots
+\end_layout
 
 \end_inset
 
@@ -3785,72 +4088,61 @@ name "Commands ! C ! \\textbackslash cdots"
 dots
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! D ! \\textbackslash dots"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! D ! 
+\backslash
+dots
+\end_layout
 
 \end_inset
 
-, LaTeX decides on the basis of the next character what type is used.
+, \SpecialChar LaTeX
+ decides on the basis of the next character what type is used.
 \end_layout
 
 \begin_layout Standard
 \align center
 \begin_inset Tabular
-<lyxtabular version="3" rows="8" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<lyxtabular version="3" rows="9" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 A_1
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 ,
 \backslash
 dots
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 ,A_n
@@ -3858,10 +4150,10 @@ spce
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $A_{1},\dots,A_{n}$
 \end_inset
 
@@ -3871,37 +4163,19 @@ spce
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 A_1
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 +
 \backslash
 dots
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 +A_n
@@ -3909,10 +4183,10 @@ spce
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $A_{1}+\dots+A_{n}$
 \end_inset
 
@@ -3922,37 +4196,19 @@ spce
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 A_1
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 ,
 \backslash
 ldots
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 ,A_n
@@ -3960,10 +4216,10 @@ spce
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $A_{1},\ldots,A_{n}$
 \end_inset
 
@@ -3973,37 +4229,19 @@ spce
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 A_1
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 +
 \backslash
 cdots
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 +A_n
@@ -4011,10 +4249,10 @@ spce
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $A_{1}+\cdots+A_{n}$
 \end_inset
 
@@ -4024,11 +4262,11 @@ spce
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 vdots
@@ -4036,10 +4274,10 @@ vdots
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\vdots$
 \end_inset
 
@@ -4049,11 +4287,11 @@ vdots
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 ddots
@@ -4061,10 +4299,10 @@ ddots
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\ddots$
 \end_inset
 
@@ -4074,25 +4312,54 @@ ddots
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-3×3\InsetSpace \thinspace{}
+\begin_layout Plain Layout
+
+\backslash
+iddots
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\iddots$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+3×3
+\begin_inset space \thinspace{}
+\end_inset
+
 matrix with the different dots
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\begin{array}{ccc}
 A_{11} & \cdots & A_{1m}\\
 \vdots & \ddots & \vdots\\
-A_{n1} & \cdots & A_{nm}\end{array}$
+A_{n1} & \cdots & A_{nm}
+\end{array}$
 \end_inset
 
 
@@ -4111,8 +4378,11 @@ A_{n1} & \cdots & A_{nm}\end{array}$
 \begin_layout Standard
 The ellipses available in menu 
 \family sans
-Insert\SpecialChar \menuseparator
-Special\InsetSpace ~
+Insert\SpecialChar menuseparator
+Special
+\begin_inset space ~
+\end_inset
+
 Character
 \family default
  are 
@@ -4128,16 +4398,56 @@ ldots
 \begin_inset VSpace medskip
 \end_inset
 
-Specially for matrices there are ellipses that span over several columns.
- They are created with the command 
+To use 
+\series bold
+
+\backslash
+iddots
+\series default
+, one of the options 
+\family sans
+Use mathdots package (automatically)
+\family default
+ must be set in the document settings under 
+\family sans
+Math
+\begin_inset space ~
+\end_inset
+
+Options
+\family default
+.
+\begin_inset Newline newline
+\end_inset
+
+Using the option 
+\family sans
+Use mathdots package
+\family default
+ will improve the appearance of all dots in the documents if their font
+ style or size is not the default.
+\end_layout
+
+\begin_layout Standard
+\begin_inset VSpace medskip
+\end_inset
+
+Specially for matrices there are ellipses that span over several columns.
+ They are created with the command 
 \series bold
 
 \backslash
 hdotsfor
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! H ! \\textbackslash hdotsfor"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! H ! 
+\backslash
+hdotsfor
+\end_layout
 
 \end_inset
 
@@ -4172,16 +4482,20 @@ hdotsfor[2]{4}
 dots
 \series default
 :
-\begin_inset Formula \[
+\begin_inset Formula 
+\[
 \left(\begin{array}{cccc}
 A & B & C & D\\
 \hdotsfor[2]{4}\\
-q & w & e & r\end{array}\right)\]
+q & w & e & r
+\end{array}\right)
+\]
 
 \end_inset
 
 Note that the matrix fields that should be spanned must be empty, otherwise
- you get LaTeX-errors.
+ you get \SpecialChar LaTeX
+-errors.
 \end_layout
 
 \begin_layout Standard
@@ -4195,21 +4509,28 @@ Furthermore you can fill with the command
 dotfill
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! D ! \\textbackslash dotfill"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! D ! 
+\backslash
+dotfill
+\end_layout
 
 \end_inset
 
  the rest of a line with dots.
- The effect of these commands is the same like with 
+ The effect of these commands is the same as with 
 \series bold
 
 \backslash
 hfill
 \series default
 , see 
-\begin_inset LatexCommand ref
-reference "sub:Variable-Space"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Variable-Space"
 
 \end_inset
 
@@ -4222,16 +4543,7 @@ For example the command
 A
 \backslash
 dotfill
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 B
@@ -4247,7 +4559,7 @@ B
 \end_layout
 
 \begin_layout Standard
-Analog to
+Similar to
 \series bold
  
 \backslash
@@ -4260,8 +4572,14 @@ dotfill
 hrulefill
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! H ! \\textbackslash hrulefill"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! H ! 
+\backslash
+hrulefill
+\end_layout
 
 \end_inset
 
@@ -4276,19 +4594,25 @@ name "Commands ! H ! \\textbackslash hrulefill"
 \end_layout
 
 \begin_layout Standard
-To use the commands for text, they have to be inserted in TeX-mode.
+To use the commands for text, they have to be inserted in \SpecialChar TeX
+ mode.
 \end_layout
 
 \begin_layout Section
 Matrices
-\begin_inset LatexCommand label
+\begin_inset CommandInset label
+LatexCommand label
 name "sec:Matrices"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Matrices"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Matrices
+\end_layout
 
 \end_inset
 
@@ -4297,22 +4621,21 @@ name "Matrices"
 
 \begin_layout Standard
 Matrices can be inserted via the math toolbar button 
-\begin_inset Graphics
-       filename ../images/dialog-show_mathmatrix.png
-       scale 85
-
+\begin_inset Info
+type  "icon"
+arg   "dialog-show mathmatrix"
 \end_inset
 
  or the menu 
 \family sans
-Insert\SpecialChar \menuseparator
-Math\SpecialChar \menuseparator
+Insert\SpecialChar menuseparator
+Math\SpecialChar menuseparator
 Matrix
 \family default
 .
- You will be asked for the number of matrix columns and rows, and the alignment.
- The vertical alignment is hereby only of importance for matrices in inline
- formulas:
+ In the matrix dialog you can specify the number of columns and rows, the
+ alignment and the decoration.
The vertical alignment is only of importance for matrices in inline formulas:
 \end_layout
 
 \begin_layout Standard
@@ -4320,21 +4643,24 @@ The first matrix is top
 \begin_inset Formula $\begin{array}[t]{cccc}
 A & D & G & J\\
 B & E & H & K\\
-C & F & I & L\end{array}$
+C & F & I & L
+\end{array}$
 \end_inset
 
 , the second middle 
 \begin_inset Formula $\begin{array}{cccc}
 A & D & G & J\\
 B & E & H & K\\
-C & F & I & L\end{array}$
+C & F & I & L
+\end{array}$
 \end_inset
 
-, and the third bottom 
+ and the third bottom 
 \begin_inset Formula $\begin{array}[b]{cccc}
 A & D & G & J\\
 B & E & H & K\\
-C & F & I & L\end{array}$
+C & F & I & L
+\end{array}$
 \end_inset
 
  aligned.
@@ -4351,7 +4677,7 @@ l
 \emph on
 c
 \emph default
- centered, and 
+ centered and 
 \emph on
 r
 \emph default
 \series bold
 ×
 \series default
-4\InsetSpace ~
+4
+\begin_inset space ~
+\end_inset
+
 matrix where the first column is left aligned, the second and third are
- centered, and the last one is right aligned, one enters for the horizontal
+ centered and the last one is right aligned, one enters for the horizontal
  alignment 
 \series bold
 lccr
 \series default
 .
- Normally are in a matrix all columns centered, therefore the default is
for every column is a 
+ Normally in a matrix all columns are centered, therefore the default for
+ every column is a 
 \series bold
 c
 \series default
@@ -4389,7 +4718,8 @@ lll
 \begin_inset Formula $\begin{array}{lll}
 10000 & D & G\\
 B & 10000 & H\\
-C & F & 10000\end{array}$
+C & F & 10000
+\end{array}$
 \end_inset
 
  , 
@@ -4400,7 +4730,8 @@ ccc
 \begin_inset Formula $\begin{array}{ccc}
 10000 & D & G\\
 B & 10000 & H\\
-C & F & 10000\end{array}$
+C & F & 10000
+\end{array}$
 \end_inset
 
  , 
@@ -4411,7 +4742,8 @@ rrr
 \begin_inset Formula $\begin{array}{rrr}
 10000 & D & G\\
 B & 10000 & H\\
-C & F & 10000\end{array}$
+C & F & 10000
+\end{array}$
 \end_inset
 
 
@@ -4420,30 +4752,33 @@ C & F & 10000\end{array}$
 \begin_layout Standard
 To add or delete rows and columns subsequently, the math toolbar buttons
  
-\begin_inset Graphics
-       filename ../images/tabular-feature_append-row.png
-       scale 85
-
+\begin_inset Info
+type  "icon"
+arg   "tabular-feature append-row"
 \end_inset
 
 , 
-\begin_inset Graphics
-       filename ../images/tabular-feature_delete-row.png
-       scale 85
+\begin_inset Info
+type  "icon"
+arg   "tabular-feature delete-row"
+\end_inset
 
+, etc.
+\begin_inset space \thinspace{}
 \end_inset
 
-, etc.\InsetSpace \thinspace{}
 , or the menu 
 \family sans
-Edit\SpecialChar \menuseparator
+Edit\SpecialChar menuseparator
 Rows & Columns
 \family default
  can be used.
  New rows can also be created with 
-\family sans
-Ctrl-Return
-\family default
+\begin_inset Info
+type  "shortcut"
+arg   "newline-insert newline"
+\end_inset
+
 .
 \end_layout
 
@@ -4451,7 +4786,12 @@ Ctrl-Return
 \begin_inset VSpace bigskip
 \end_inset
 
-Parentheses around a matrix can can either be created with the commands
+The 
+\family sans
+Decoration
+\family default
+ adds parentheses in the selected style around the matrix.
+ Alternatively, parentheses can can either be created with the commands
  
 \series bold
 
@@ -4459,8 +4799,14 @@ Parentheses around a matrix can can either be created with the commands
 left
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! L ! \\textbackslash left"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! L ! 
+\backslash
+left
+\end_layout
 
 \end_inset
 
@@ -4471,19 +4817,29 @@ name "Commands ! L ! \\textbackslash left"
 right
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! R ! \\textbackslash right"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! R ! 
+\backslash
+right
+\end_layout
 
 \end_inset
 
  (shortcut 
 \family sans
-Alt-m\InsetSpace ~
-parenthesis
+Alt+M
+\begin_inset space ~
+\end_inset
+
+Parenthesis
 \family default
 ), see 
-\begin_inset LatexCommand ref
-reference "sub:Automatic-Bracket-Size"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Automatic-Bracket-Size"
 
 \end_inset
 
@@ -4495,87 +4851,67 @@ reference "sub:Automatic-Bracket-Size"
 \end_layout
 
 \begin_layout Standard
+\begin_inset space \hfill{}
+\end_inset
 
-\hfill
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 bmatrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 2
 \series bold
 ×
 \series default
-2\InsetSpace \thinspace{}
+2
+\begin_inset space \thinspace{}
+\end_inset
+
 matrix
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{7.5mm}{}\begin{bmatrix}\begin{array}{cc}
+\begin_layout Plain Layout
+\begin_inset Formula $\begin{bmatrix}\begin{array}{cc}
 0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{bmatrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{bmatrix}$
 \end_inset
 
 
@@ -4584,43 +4920,38 @@ matrix
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm" bottomspace="0.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Bmatrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 2
 \series bold
 ×
 \series default
-2\InsetSpace \thinspace{}
+2
+\begin_inset space \thinspace{}
+\end_inset
+
 matrix
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{7.5mm}{}\begin{Bmatrix}\begin{array}{cc}
+\begin_layout Plain Layout
+\begin_inset Formula $\begin{Bmatrix}\begin{array}{cc}
 0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{Bmatrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{Bmatrix}$
 \end_inset
 
 
@@ -4629,43 +4960,38 @@ matrix
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 pmatrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 2
 \series bold
 ×
 \series default
-2\InsetSpace \thinspace{}
+2
+\begin_inset space \thinspace{}
+\end_inset
+
 matrix
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{7.5mm}{}\begin{pmatrix}\begin{array}{cc}
+\begin_layout Plain Layout
+\begin_inset Formula $\begin{pmatrix}\begin{array}{cc}
 0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{pmatrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{pmatrix}$
 \end_inset
 
 
@@ -4679,70 +5005,67 @@ matrix
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
+
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 vmatrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 2
 \series bold
 ×
 \series default
-2\InsetSpace \thinspace{}
+2
+\begin_inset space \thinspace{}
+\end_inset
+
 matrix
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{7.5mm}{}\begin{vmatrix}\begin{array}{cc}
+\begin_layout Plain Layout
+\begin_inset Formula $\begin{vmatrix}\begin{array}{cc}
 0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{vmatrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{vmatrix}$
 \end_inset
 
 
@@ -4751,43 +5074,38 @@ matrix
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm" bottomspace="0.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Vmatrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 2
 \series bold
 ×
 \series default
-2\InsetSpace \thinspace{}
+2
+\begin_inset space \thinspace{}
+\end_inset
+
 matrix
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{7.5mm}{}\begin{Vmatrix}\begin{array}{cc}
+\begin_layout Plain Layout
+\begin_inset Formula $\begin{Vmatrix}\begin{array}{cc}
 0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{Vmatrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{Vmatrix}$
 \end_inset
 
 
@@ -4796,43 +5114,38 @@ matrix
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 matrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 2
 \series bold
 ×
 \series default
-2\InsetSpace \thinspace{}
+2
+\begin_inset space \thinspace{}
+\end_inset
+
 matrix
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{7.5mm}{}\begin{matrix}\begin{array}{cc}
+\begin_layout Plain Layout
+\begin_inset Formula $\begin{matrix}\begin{array}{cc}
 0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{matrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{matrix}$
 \end_inset
 
 
@@ -4846,7 +5159,9 @@ matrix
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
+
 
 \end_layout
 
@@ -4854,8 +5169,14 @@ matrix
 \begin_inset VSpace medskip
 \end_inset
 
-When e.\InsetSpace \thinspace{}
-g.\InsetSpace ~
+When e.
+\begin_inset space \thinspace{}
+\end_inset
+
+g.
+\begin_inset space \space{}
+\end_inset
+
 
 \series bold
 
@@ -4864,6 +5185,10 @@ vmatrix
 \series default
  is inserted, a blue box appears between two vertical lines where the matrix
  is inserted.
+\begin_inset Newline newline
+\end_inset
+
+Note that decorated matrices ignore the vertical alignment.
 \end_layout
 
 \begin_layout Standard
@@ -4877,14 +5202,21 @@ As all multiline formulas are matrices, the length
 arraycolsep
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! A ! \\textbackslash arraycolsep"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! A ! 
+\backslash
+arraycolsep
+\end_layout
 
 \end_inset
 
  that is described in 
-\begin_inset LatexCommand ref
-reference "sub:Column-Separation"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Column-Separation"
 
 \end_inset
 
@@ -4899,8 +5231,14 @@ To change the row separation, the command
 arraystretch
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! A ! \\textbackslash arraystretch"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! A ! 
+\backslash
+arraystretch
+\end_layout
 
 \end_inset
 
@@ -4916,8 +5254,14 @@ name "Commands ! A ! \\textbackslash arraystretch"
 renewcommand{
 \backslash
 arraystretch}{stretch factor}
-\begin_inset LatexCommand index
-name "Commands ! R ! \\textbackslash renewcommand"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! R ! 
+\backslash
+renewcommand
+\end_layout
 
 \end_inset
 
@@ -4938,8 +5282,14 @@ renewcommand
 arraystretch
 \series default
 .
- To double e.\InsetSpace \thinspace{}
-g.\InsetSpace ~
+ To double e.
+\begin_inset space \thinspace{}
+\end_inset
+
+g.
+\begin_inset space \space{}
+\end_inset
+
 the row separation, use the factor 2.
  This is then used for all following matrices.
  To go back to the original separation, assign the factor 1 to 
@@ -4959,8 +5309,14 @@ To set matrices into a text line, the command
 smallmatrix
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! S ! \\textbackslash smallmatrix"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! S ! 
+\backslash
+smallmatrix
+\end_layout
 
 \end_inset
 
@@ -4972,7 +5328,8 @@ name "Commands ! S ! \\textbackslash smallmatrix"
 \begin_layout Standard
 This is a matrix 
 \begin_inset Formula $\left(\begin{smallmatrix}A & B\\
-C & D\end{smallmatrix}\right)$
+C & D
+\end{smallmatrix}\right)$
 \end_inset
 
  in a text line.
@@ -4980,14 +5337,22 @@ C & D\end{smallmatrix}\right)$
 
 \begin_layout Section
 Brackets and Delimiters
-\begin_inset LatexCommand index
-name "Brackets"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Brackets
+\end_layout
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Delimiters"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Delimiters
+\end_layout
 
 \end_inset
 
@@ -4996,8 +5361,12 @@ name "Delimiters"
 
 \begin_layout Subsection
 Vertical Brackets and Delimiters
-\begin_inset LatexCommand index
-name "Brackets ! vertical"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Brackets ! vertical
+\end_layout
 
 \end_inset
 
@@ -5005,48 +5374,49 @@ name "Brackets ! vertical"
 \end_layout
 
 \begin_layout Standard
+\begin_inset space \hfill{}
+\end_inset
 
-\hfill
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="9" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 (
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $($
 \end_inset
 
@@ -5056,20 +5426,20 @@ Result
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 {
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\{$
 \end_inset
 
@@ -5079,20 +5449,20 @@ Result
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 [
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $[$
 \end_inset
 
@@ -5102,11 +5472,11 @@ Result
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 langle
@@ -5114,10 +5484,10 @@ langle
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\langle$
 \end_inset
 
@@ -5127,11 +5497,11 @@ langle
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 lceil
@@ -5139,10 +5509,10 @@ lceil
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\lceil$
 \end_inset
 
@@ -5152,11 +5522,11 @@ lceil
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 lfloor
@@ -5164,10 +5534,10 @@ lfloor
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\lfloor$
 \end_inset
 
@@ -5177,20 +5547,20 @@ lfloor
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 /
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $/$
 \end_inset
 
@@ -5200,20 +5570,20 @@ lfloor
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 |
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $|$
 \end_inset
 
@@ -5228,47 +5598,49 @@ lfloor
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
+
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="9" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 )
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $)$
 \end_inset
 
@@ -5278,20 +5650,20 @@ Result
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 }
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\}$
 \end_inset
 
@@ -5301,20 +5673,20 @@ Result
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 ]
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $]$
 \end_inset
 
@@ -5324,11 +5696,11 @@ Result
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 rangle
@@ -5336,10 +5708,10 @@ rangle
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\rangle$
 \end_inset
 
@@ -5349,11 +5721,11 @@ rangle
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 rceil
@@ -5361,10 +5733,10 @@ rceil
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\rceil$
 \end_inset
 
@@ -5374,11 +5746,11 @@ rceil
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 rfloor
@@ -5386,10 +5758,10 @@ rfloor
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\rfloor$
 \end_inset
 
@@ -5399,11 +5771,11 @@ rfloor
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 
@@ -5413,10 +5785,10 @@ rfloor
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\backslash$
 \end_inset
 
@@ -5426,11 +5798,11 @@ rfloor
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 |
@@ -5438,10 +5810,10 @@ rfloor
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\|$
 \end_inset
 
@@ -5456,7 +5828,9 @@ rfloor
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
+
 
 \end_layout
 
@@ -5466,20 +5840,27 @@ rfloor
 \begin_inset Note Greyedout
 status open
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \series bold
 Note:
 \series default
- In TeX-mode the command 
+ In \SpecialChar TeX
+ mode the command 
 \series bold
 
 \backslash
 textbackslash
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! T ! \\textbackslash textbackslash"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! T ! 
+\backslash
+textbackslash
+\end_layout
 
 \end_inset
 
@@ -5491,7 +5872,7 @@ name "Commands ! T ! \\textbackslash textbackslash"
 \backslash
 
 \series default
- produces there a line break.
+ produces a line break there.
 \end_layout
 
 \end_inset
@@ -5520,14 +5901,19 @@ rangle
 
 \begin_layout Subsubsection
 Manual Bracket Size
-\begin_inset LatexCommand label
-name "sub:Manual-Bracket-Size"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Manual-Bracket-Size"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Bracket size ! manual"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Bracket size ! manual
+\end_layout
 
 \end_inset
 
@@ -5535,15 +5921,22 @@ name "Bracket size ! manual"
 \end_layout
 
 \begin_layout Standard
-The bracket size can be specified manually by the LaTeX-commands 
+The bracket size can be specified manually by the \SpecialChar LaTeX
+-commands 
 \series bold
 
 \backslash
 big
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! B ! \\textbackslash big"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! B ! 
+\backslash
+big
+\end_layout
 
 \end_inset
 
@@ -5559,7 +5952,7 @@ Big
 \backslash
 bigg
 \series default
-, and 
+ and 
 \series bold
 
 \backslash
@@ -5589,24 +5982,24 @@ These commands are used to emphasize levels of brackets:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features>
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 all brackets in the same size:
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $((A+B)(A-B))^{C}\raisebox{-4mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $((A+B)(A-B))^{C}$
 \end_inset
 
 
@@ -5615,20 +6008,20 @@ all brackets in the same size:
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="2mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 this looks better:
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\Big((A+B)(A-B)\Big)^{C}$
 \end_inset
 
@@ -5643,22 +6036,6 @@ this looks better:
 \end_inset
 
 
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -5669,16 +6046,7 @@ For the second formula the command
 Big((A+B)(A-B)
 \backslash
 Big)^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 C
@@ -5707,16 +6075,7 @@ big{
 ln(3x)
 \backslash
 big}^2
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
@@ -5724,29 +6083,11 @@ spce
 sin(x)
 \backslash
 Big]^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 A
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
@@ -5765,8 +6106,6 @@ Bigg)^0,5
 \end_layout
 
 \begin_layout Standard
-
-\newpage
 Besides the 
 \series bold
 
@@ -5780,8 +6119,14 @@ big
 bigm
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! B ! \\textbackslash bigm"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! B ! 
+\backslash
+bigm
+\end_layout
 
 \end_inset
 
@@ -5799,8 +6144,16 @@ bigl
 bigr
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! B ! \\textbackslash bigl - \\textbackslash bigr"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! B ! 
+\backslash
+bigl - 
+\backslash
+bigr
+\end_layout
 
 \end_inset
 
@@ -5832,50 +6185,34 @@ In the following table is a comparison of the variants:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features>
-<column alignment="center" valignment="middle" leftline="true" width="0">
-<column alignment="center" valignment="middle" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="middle">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="2mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Bigm(
@@ -5885,34 +6222,21 @@ bigm(
 ln(3x)
 \backslash
 bigm)^2
-\series bold
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
-\series default
-
 \backslash
 Bigm)
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{5.5mm}{}\Bigm(\bigm(\ln(3x)\bigm)^{2}\Bigm)\raisebox{-3.25mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $\Bigm(\bigm(\ln(3x)\bigm)^{2}\Bigm)$
 \end_inset
 
 
@@ -5921,11 +6245,11 @@ Bigm)
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="2mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Big(
@@ -5935,34 +6259,21 @@ big(
 ln(3x)
 \backslash
 big)^2
-\series bold
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
-\series default
-
 \backslash
 Big)
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{5.5mm}{}\Big(\big(\ln(3x)\big)^{2}\Big)\raisebox{-3.25mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $\Big(\big(\ln(3x)\big)^{2}\Big)$
 \end_inset
 
 
@@ -5971,11 +6282,11 @@ Big)
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="2mm" bottomspace="0.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Bigl(
@@ -5985,35 +6296,22 @@ bigl(
 ln(3x)
 \backslash
 bigr)^2
-\series bold
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
+\begin_inset space \textvisiblespace{}
+\end_inset
 
 
 \backslash
-spce 
+Bigr)
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
-
-\series default
-
-\backslash
-Bigr)
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Standard
-\begin_inset Formula $\raisebox{5.5mm}{}\Bigl(\bigl(\ln(3x)\bigr)^{2}\Bigr)\raisebox{-3.25mm}{}$
-\end_inset
+\begin_layout Plain Layout
+\begin_inset Formula $\Bigl(\bigl(\ln(3x)\bigr)^{2}\Bigr)$
+\end_inset
 
 
 \end_layout
@@ -6021,11 +6319,11 @@ Bigr)
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm" bottomspace="0.5mm">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 bigl)
@@ -6037,11 +6335,11 @@ bigr(
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{4.5mm}{}\bigl)\ln(3x)\bigr(\raisebox{-2mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $\bigl)\ln(3x)\bigr($
 \end_inset
 
 
@@ -6059,14 +6357,19 @@ bigr(
 
 \begin_layout Subsubsection
 Automatic Bracket Size
-\begin_inset LatexCommand label
-name "sub:Automatic-Bracket-Size"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Automatic-Bracket-Size"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Bracket size ! automatic"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Bracket size ! automatic
+\end_layout
 
 \end_inset
 
@@ -6081,8 +6384,14 @@ Brackets with variable size can be inserted with the commands
 left
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! L ! \\textbackslash left"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! L ! 
+\backslash
+left
+\end_layout
 
 \end_inset
 
@@ -6093,16 +6402,21 @@ name "Commands ! L ! \\textbackslash left"
 right
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! R ! \\textbackslash right"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! R ! 
+\backslash
+right
+\end_layout
 
 \end_inset
 
  or via the math toolbar button 
-\begin_inset Graphics
-       filename ../images/dialog-show_mathdelimiter.png
-       scale 85
-
+\begin_inset Info
+type  "icon"
+arg   "dialog-show mathdelimiter"
 \end_inset
 
 .
@@ -6131,16 +6445,7 @@ normal bracket: The command
 ln(
 \backslash
 frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 A
 \end_inset
 
 C
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 )
 \series default
  creates
-\begin_inset Formula \[
-\ln(\frac{A}{C})\]
+\begin_inset Formula 
+\[
+\ln(\frac{A}{C})
+\]
 
 \end_inset
 
@@ -6182,16 +6480,7 @@ ln
 left(
 \backslash
 frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 A
@@ -6199,16 +6488,7 @@ A
 \end_inset
 
 C
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
@@ -6216,8 +6496,10 @@ spce
 right)
 \series default
  creates
-\begin_inset Formula \[
-\ln\left(\frac{A}{C}\right)\]
+\begin_inset Formula 
+\[
+\ln\left(\frac{A}{C}\right)
+\]
 
 \end_inset
 
@@ -6239,35 +6521,31 @@ right
 \series default
  the shortcut 
 \family sans
-Alt-m\InsetSpace ~
-bracket
+Alt+M
+\begin_inset space ~
+\end_inset
+
+Bracket
 \family default
  can be used.
- This has the advantage that you can see in LyX immediately the real bracket
+ This has the advantage that you can see in \SpecialChar LyX
+ immediately the real bracket
  size and that the matching right bracket will be created too.
-\newline
-The command
- for the last example would then be: 
+\begin_inset Newline newline
+\end_inset
+
+The command for the last example would then be: 
 \series bold
 
 \backslash
-ln Alt-m
+ln Alt+M
 \series default
  
 \series bold
 (
 \backslash
 frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 A
@@ -6286,16 +6564,7 @@ To omit a left or right bracket, a dot is inserted for the omitted bracket.
 left.
 \backslash
 frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 A
@@ -6303,16 +6572,7 @@ A
 \end_inset
 
 B
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
@@ -6322,8 +6582,10 @@ right}
  creates:
 \series bold
 
-\begin_inset Formula \[
-\left.\frac{A}{B}\right\} \]
+\begin_inset Formula 
+\[
+\left.\frac{A}{B}\right\} 
+\]
 
 \end_inset
 
@@ -6341,40 +6603,60 @@ left
 \backslash
 right
 \series default
- will be converted by LyX to brackets in the right size when the document
- is reloaded and an omitted bracket will appear as dashed line.
+ will be converted by \SpecialChar LyX
+ to brackets in the right size when the document is
+ reloaded and an omitted bracket will appear as dashed line.
 \end_layout
 
 \begin_layout Standard
 \begin_inset VSpace bigskip
 \end_inset
 
-Because all popular LaTeX-Distributions use eTeX, an extension to LaTeX,
- the command 
+Because all popular \SpecialChar LaTeX
+ distributions use e\SpecialChar TeX
+, an extension to \SpecialChar LaTeX
+, the command
 \series bold
 
 \backslash
 middle
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! M ! \\textbackslash middle"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! M ! 
+\backslash
+middle
+\end_layout
 
 \end_inset
 
  is additionally available for all brackets and limits.
  With this command the height of the following character is adapted to the
- one of the surrounding brackets, what is e.\InsetSpace \thinspace{}
-g.\InsetSpace ~
+ one of the surrounding brackets, what is e.
+\begin_inset space \thinspace{}
+\end_inset
+
+g.
+\begin_inset space \space{}
+\end_inset
+
 needed for physical vectors:
-\begin_inset Formula \[
-\left\langle \phi\:\middle|\: J=\frac{3}{2}\,,\, M_{J}\right\rangle \]
+\begin_inset Formula 
+\[
+\left\langle \phi\:\middle|\:J=\frac{3}{2}\,,\,M_{J}\right\rangle 
+\]
 
 \end_inset
 
-For physical vectors there is a special LaTeX-package, described in 
-\begin_inset LatexCommand ref
-reference "sub:Physical-Vectors"
+For physical vectors there is a special \SpecialChar LaTeX
+-package, described in 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Physical-Vectors"
 
 \end_inset
 
@@ -6383,8 +6665,12 @@ reference "sub:Physical-Vectors"
 
 \begin_layout Subsection
 Horizontal Brackets
-\begin_inset LatexCommand index
-name "Brackets ! horizontal"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Brackets ! horizontal
+\end_layout
 
 \end_inset
 
@@ -6395,130 +6681,111 @@ name "Brackets ! horizontal"
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
+\begin_layout Plain Layout
 
 \backslash
-raisebox{2.3mm}{
-\end_layout
+overbrace
+\begin_inset space \textvisiblespace{}
+\end_inset
 
+A+B
+\begin_inset space \textvisiblespace{}
 \end_inset
 
+^3
+\begin_inset Index idx
+status collapsed
 
+\begin_layout Plain Layout
+Commands ! O ! 
 \backslash
 overbrace
-\begin_inset ERT
-status collapsed
+\end_layout
 
-\begin_layout Standard
+\end_inset
 
 
-\backslash
-spce 
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
-A+B
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
+\begin_layout Plain Layout
+\begin_inset Formula $\overbrace{A+B}^{3}$
+\end_inset
 
 
-\backslash
-spce 
 \end_layout
 
 \end_inset
+</cell>
+</row>
+<row topspace="2mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
-^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
+\begin_layout Plain Layout
 
 \backslash
-spce 
-\end_layout
+underbrace
+\begin_inset space \textvisiblespace{}
+\end_inset
 
+A+B
+\begin_inset space \textvisiblespace{}
 \end_inset
 
-3
-\begin_inset ERT
+_5
+\begin_inset Index idx
 status collapsed
 
-\begin_layout Standard
-
-}
+\begin_layout Plain Layout
+Commands ! U ! 
+\backslash
+underbrace
 \end_layout
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Commands ! O ! \\textbackslash overbrace"
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\overbrace{A+B}^{3}$
+\begin_layout Plain Layout
+\begin_inset Formula $\underbrace{A+B}_{5}$
 \end_inset
 
 
@@ -6527,78 +6794,53 @@ name "Commands ! O ! \\textbackslash overbrace"
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
+\begin_layout Plain Layout
 
 \backslash
-raisebox{-2.2mm}{
-\end_layout
-
+overbrace
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
 \backslash
 underbrace
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
-A+B
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+A+B_w
+\begin_inset space \textvisiblespace{}
 \end_inset
 
-_5
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-}
-\end_layout
 
+\begin_inset space \textvisiblespace{}
 \end_inset
 
+_7
+\begin_inset space \textvisiblespace{}
+\end_inset
 
-\begin_inset LatexCommand index
-name "Commands ! U ! \\textbackslash underbrace"
 
+\begin_inset space \textvisiblespace{}
 \end_inset
 
+^
+\begin_inset space \textvisiblespace{}
+\end_inset
 
+C
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\underbrace{A+B}_{5}$
+\begin_layout Plain Layout
+\begin_inset Formula $\overbrace{\underbrace{A+B_{w}}_{7}}^{C}$
 \end_inset
 
 
@@ -6607,103 +6849,154 @@ name "Commands ! U ! \\textbackslash underbrace"
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
+</lyxtabular>
+
+\end_inset
+
+
+\end_layout
 
 \begin_layout Standard
+In the last example it doesn't matter if 
+\series bold
 
 \backslash
 overbrace
-\backslash
-underbrace
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
+\series default
+ or 
+\series bold
 
 \backslash
-spce 
+underbrace
+\series default
+ is inserted at first.
 \end_layout
 
-\end_inset
-
-A+B_w
-\begin_inset ERT
-status collapsed
-
 \begin_layout Standard
+\begin_inset VSpace medskip
+\end_inset
 
 
-\backslash
-spce 
 \end_layout
 
+\begin_layout Standard
+If you set in the document settings under 
+\family sans
+Math
+\begin_inset space ~
 \end_inset
 
+Options
+\family default
+ for the package 
+\series bold
+mathtools
+\series default
 
-\begin_inset ERT
+\begin_inset Index idx
 status collapsed
 
-\begin_layout Standard
-
-
-\backslash
-spce 
+\begin_layout Plain Layout
+Packages ! mathtools
 \end_layout
 
 \end_inset
 
-_7
-\begin_inset ERT
-status collapsed
+ the option 
+\family sans
+Load
+\begin_inset space ~
+\end_inset
 
-\begin_layout Standard
+always
+\family default
+, you have access to square backets:
+\end_layout
 
+\begin_layout Standard
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="4" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
 
-\backslash
-spce 
+\begin_layout Plain Layout
+Command
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
+Result
+\end_layout
 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
 
 \backslash
-spce 
-\end_layout
 
+\family roman
+\series medium
+\shape up
+\size normal
+\emph off
+\bar no
+\strikeout off
+\uuline off
+\uwave off
+\noun off
+\color none
+overbracket
+\family default
+\series default
+\shape default
+\size default
+\emph default
+\bar default
+\strikeout default
+\uuline default
+\uwave default
+\noun default
+\color inherit
+{A+B
+\begin_inset space \textvisiblespace{}
 \end_inset
 
-^
-\begin_inset ERT
+^3
+\begin_inset Index idx
 status collapsed
 
-\begin_layout Standard
-
-
+\begin_layout Plain Layout
+Commands ! O ! 
 \backslash
-spce 
+overbracket
 \end_layout
 
 \end_inset
 
-C
+
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\overbrace{\underbrace{A+B_{w}}_{7}}^{C}$
+\begin_layout Plain Layout
+\begin_inset Formula $\overbracket{A+B}^{3}$
 \end_inset
 
 
 \end_inset
 </cell>
 </row>
-</lyxtabular>
-
-\end_inset
-
-
-\end_layout
+<row topspace="2mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
-\begin_layout Standard
-In the last example it doesn't matter if 
-\series bold
+\begin_layout Plain Layout
 
 \backslash
-overbrace
+under
+\family roman
+\series medium
+\shape up
+\size normal
+\emph off
+\bar no
+\strikeout off
+\uuline off
+\uwave off
+\noun off
+\color none
+bracket
+\family default
 \series default
- or 
-\series bold
+\shape default
+\size default
+\emph default
+\bar default
+\strikeout default
+\uuline default
+\uwave default
+\noun default
+\color inherit
+{A+B
+\begin_inset space \textvisiblespace{}
+\end_inset
 
+_5
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! U ! 
 \backslash
-underbrace
-\series default
- is inserted at first.
+under
+\family roman
+\series medium
+\shape up
+\size normal
+\emph off
+\bar no
+\strikeout off
+\uuline off
+\uwave off
+\noun off
+\color none
+bracket
 \end_layout
 
-\begin_layout Standard
-\begin_inset VSpace bigskip
 \end_inset
 
-When brackets are needed that overlap each other, multiline formulas, as
- described in 
-\begin_inset LatexCommand ref
-reference "sec:Multiline-Formulas"
 
-\end_inset
+\end_layout
 
-, must be used:
-\begin_inset Formula \begin{eqnarray*}
-A & = & \underbrace{gggg+bbqq}_{r}+\: dddd\\
- &  & \hphantom{gggg+\:}\underbrace{\hphantom{bbqq+dddd}}_{s}\end{eqnarray*}
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
+\begin_inset Formula $\underbracket{A+B}_{5}$
 \end_inset
 
-In the first row the formula is inserted together with the first brace.
- It is hereby important that the space command
-\begin_inset Foot
-status collapsed
 
-\begin_layout Standard
-Space commands are explained in 
-\begin_inset LatexCommand ref
-reference "sub:Predefined-Space"
+\end_layout
 
 \end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
 
-.
-\end_layout
+\begin_layout Plain Layout
 
+\backslash
+overbracket{
+\backslash
+underbracket{A+B_w
+\begin_inset space \textvisiblespace{}
 \end_inset
 
-\series bold
 
-\backslash
-:
-\series default
- is inserted before the first 
-\begin_inset Formula $d$
+\begin_inset space \textvisiblespace{}
 \end_inset
 
-, because the brace that ends behind the 
-\begin_inset Formula $q$
+_7
+\begin_inset space \textvisiblespace{}
 \end_inset
 
- prevents that the following 
-\begin_inset Quotes eld
+
+\begin_inset space \textvisiblespace{}
 \end_inset
 
-+
-\begin_inset Quotes erd
+^
+\begin_inset space \textvisiblespace{}
 \end_inset
 
- is surrounded by space.
-\begin_inset Foot
-status collapsed
+C
+\end_layout
 
-\begin_layout Standard
-because a bracket is not handled as character, see 
-\begin_inset LatexCommand ref
-reference "sub:Binary-Operators"
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
+\begin_inset Formula $\overbracket{\underbracket{A+B_{w}}_{7}}^{C}$
 \end_inset
 
 
 \end_layout
 
 \end_inset
+</cell>
+</row>
+</lyxtabular>
 
- In the second row the second brace is inserted.
- As it should begin before the 
-\begin_inset Formula $b$
 \end_inset
 
-, first the command 
-\series bold
 
-\backslash
-hphantom{gggg+
-\backslash
-:}
-\series default
- is inserted.
-\begin_inset Foot
-status collapsed
+\end_layout
 
 \begin_layout Standard
-more about 
+For 
 \series bold
 
 \backslash
-hphantom
+overbracket
 \series default
- see 
-\begin_inset LatexCommand ref
-reference "sub:Placeholders"
-
-\end_inset
-
-
-\end_layout
-
-\end_inset
-
- This space is needed because the 
-\begin_inset Quotes eld
-\end_inset
-
-+
-\begin_inset Quotes erd
-\end_inset
-
- is also surrounded by space in the formula.
- The brace is placed under the command 
+ and 
 \series bold
 
 \backslash
-hphantom{bbqq+dddd}
+underbracket
 \series default
-.
+ you can change the thickness of the bracket's stroke by specifying the
+ desired thickness in square brackets behind the command:
 \end_layout
 
 \begin_layout Standard
-It gets more complicated when brackets overlap each other, like in the following
- example:
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="3" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
 
-\backslash
-setlength{
-\backslash
-jot}{-6pt}
+\begin_layout Plain Layout
+Command
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
 
-
-\begin_inset Formula \begin{eqnarray*}
- &  & \hphantom{gggg+\:}\overbrace{\hphantom{bbqq+dddd}}^{s}\\
-A & = & \underbrace{gggg+bbqq}_{r}+\: dddd\end{eqnarray*}
+\begin_layout Plain Layout
+Result
+\end_layout
 
 \end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
+\begin_layout Plain Layout
 
 \backslash
-setlength{
+
+\family roman
+\series medium
+\shape up
+\size normal
+\emph off
+\bar no
+\strikeout off
+\uuline off
+\uwave off
+\noun off
+\color none
+overbracket
+\family default
+\series default
+\shape default
+\size default
+\emph default
+\bar default
+\strikeout default
+\uuline default
+\uwave default
+\noun default
+\color inherit
+[3pt]
 \backslash
-jot}{3pt}
+{A+B
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+^3
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
-The first formula row is the same as the second row of the previous example,
- with the difference that the brace is above.
- The second row contains the formula together with the second brace.
- To avoid that there is space between the upper brace in the first row and
- the formula, the row spacing need to be reduced.
- This is not easily possible due to a bug in LyX
+\begin_layout Plain Layout
+\begin_inset Formula $\overbracket[3pt]{A+B}^{3}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row topspace="2mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+under
+\family roman
+\series medium
+\shape up
+\size normal
+\emph off
+\bar no
+\strikeout off
+\uuline off
+\uwave off
+\noun off
+\color none
+bracket
+\family default
+\series default
+\shape default
+\size default
+\emph default
+\bar default
+\strikeout default
+\uuline default
+\uwave default
+\noun default
+\color inherit
+[1pt]
+\backslash
+{A+B
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+_5
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\underbracket[1pt]{A+B}_{5}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset VSpace bigskip
+\end_inset
+
+When brackets should overlap each other, multiline formulas, as described
+ in 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sec:Multiline-Formulas"
+
+\end_inset
+
+, must be used:
+\begin_inset Formula 
+\begin{eqnarray*}
+A & = & \underbrace{gggg+bbqq}_{r}+\:dddd\\
+ &  & \hphantom{gggg+\:}\underbrace{\hphantom{bbqq+dddd}}_{s}
+\end{eqnarray*}
+
+\end_inset
+
+In the first row the formula is inserted together with the first brace.
+ It is hereby important that the space command
+\begin_inset Foot
+status collapsed
+
+\begin_layout Plain Layout
+Space commands are explained in 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Predefined-Space"
+
+\end_inset
+
+.
+\end_layout
+
+\end_inset
+
+\series bold
+
+\backslash
+:
+\series default
+ is inserted before the first 
+\begin_inset Formula $d$
+\end_inset
+
+, because the brace that ends behind the 
+\begin_inset Formula $q$
+\end_inset
+
+ prevents that the following 
+\begin_inset Quotes eld
+\end_inset
+
++
+\begin_inset Quotes erd
+\end_inset
+
+ is surrounded by space.
+\begin_inset Foot
+status collapsed
+
+\begin_layout Plain Layout
+because a bracket is not handled as a character, see 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Binary-Operators"
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+ In the second row the second brace is inserted.
+ As it should begin before the 
+\begin_inset Formula $b$
+\end_inset
+
+, first the command 
+\series bold
+
+\backslash
+hphantom{gggg+
+\backslash
+:}
+\series default
+ is inserted.
 \begin_inset Foot
 status collapsed
 
+\begin_layout Plain Layout
+more about 
+\series bold
+
+\backslash
+hphantom
+\series default
+ see 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Placeholders"
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+ This space is needed because the 
+\begin_inset Quotes eld
+\end_inset
+
++
+\begin_inset Quotes erd
+\end_inset
+
+ is also surrounded by space in the formula.
+ The brace is placed under the command 
+\series bold
+
+\backslash
+hphantom{bbqq+dddd}
+\series default
+.
+\end_layout
+
 \begin_layout Standard
+It gets more complicated when brackets overlap each other above and under
+ the formula, like in the following example:
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
-href{http://bugzilla.lyx.org/show_bug.cgi?id=1505}{
+setlength{
+\backslash
+jot}{-6pt}
 \end_layout
 
 \end_inset
 
-LyX-bug #1505
+
+\begin_inset Formula 
+\begin{eqnarray*}
+ &  & \hphantom{gggg+\:}\overbrace{\hphantom{bbqq+dddd}}^{s}\\
+A & = & \underbrace{gggg+bbqq}_{r}+\:dddd
+\end{eqnarray*}
+
+\end_inset
+
+
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
-}
+
+\backslash
+setlength{
+\backslash
+jot}{3pt}
 \end_layout
 
 \end_inset
 
+The first formula row is the same as the second row of the previous example,
+ with the difference that the brace is above.
+ The second row contains the formula together with the second brace.
+ To avoid that there is space between the upper brace in the first row and
+ the formula, the row spacing needs to be reduced.
+ This is not easily possible due to a bug in \SpecialChar LyX
+.
+\begin_inset Foot
+status collapsed
+
+\begin_layout Plain Layout
+\begin_inset CommandInset href
+LatexCommand href
+name "LyX-bug #1505"
+target "http://www.lyx.org/trac/ticket/1505"
+
+\end_inset
+
 
 \end_layout
 
 \end_inset
 
-.
- As solution for the problem, the global formula row separation 
+ As a solution for the problem, the global formula row separation 
 \series bold
 
 \backslash
 jot
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! J ! \\textbackslash jot"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! J ! 
+\backslash
+jot
+\end_layout
+
+\end_inset
 
+ must be changed to -6
+\begin_inset space \thinspace{}
 \end_inset
 
- must be changed to -6\InsetSpace \thinspace{}
 pt before the formula with the command 
 \series bold
 
@@ -6960,19 +7523,23 @@ setlength{
 \backslash
 jot}{-6pt}
 \series default
- in TeX-mode.
+ in \SpecialChar TeX
+ mode.
  
 \series bold
 
 \backslash
 jot
 \series default
- is set back after the formula to the standard value of 3\InsetSpace \thinspace{}
-pt using the same
- command.
+ is set back after the formula to the standard value of 3
+\begin_inset space \thinspace{}
+\end_inset
+
+pt using the same command.
  More about the row separation in formulas is explained in 
-\begin_inset LatexCommand ref
-reference "sub:Line-Separation"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Line-Separation"
 
 \end_inset
 
@@ -6981,8 +7548,12 @@ reference "sub:Line-Separation"
 
 \begin_layout Section
 Arrows
-\begin_inset LatexCommand index
-name "Arrows"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Arrows
+\end_layout
 
 \end_inset
 
@@ -6991,10 +7562,9 @@ name "Arrows"
 
 \begin_layout Standard
 Arrows can be inserted via the math toolbar button 
-\begin_inset Graphics
-       filename ../images/math/leftarrow.png
-       scale 85
-
+\begin_inset Info
+type  "icon"
+arg   "math-insert \\leftarrow"
 \end_inset
 
  or the commands listed in the following subsections.
@@ -7002,8 +7572,12 @@ Arrows can be inserted via the math toolbar button
 
 \begin_layout Subsection
 Horizontal Arrows
-\begin_inset LatexCommand index
-name "Arrows ! horizontal"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Arrows ! horizontal
+\end_layout
 
 \end_inset
 
@@ -7011,39 +7585,40 @@ name "Arrows ! horizontal"
 \end_layout
 
 \begin_layout Standard
+\begin_inset space \hfill{}
+\end_inset
 
-\hfill
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 gets
@@ -7051,10 +7626,10 @@ gets
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\gets$
 \end_inset
 
@@ -7064,11 +7639,11 @@ gets
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Leftarrow
@@ -7076,10 +7651,10 @@ Leftarrow
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\Leftarrow$
 \end_inset
 
@@ -7089,11 +7664,11 @@ Leftarrow
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 longleftarrow
@@ -7101,10 +7676,10 @@ longleftarrow
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\longleftarrow$
 \end_inset
 
@@ -7114,11 +7689,11 @@ longleftarrow
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Longleftarrow
@@ -7126,10 +7701,10 @@ Longleftarrow
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\Longleftarrow$
 \end_inset
 
@@ -7139,11 +7714,11 @@ Longleftarrow
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 leftharpoonup
@@ -7151,10 +7726,10 @@ leftharpoonup
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\leftharpoonup$
 \end_inset
 
@@ -7164,11 +7739,11 @@ leftharpoonup
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 leftharpoondown
@@ -7176,10 +7751,10 @@ leftharpoondown
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\leftharpoondown$
 \end_inset
 
@@ -7189,11 +7764,11 @@ leftharpoondown
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 hookleftarrow
@@ -7201,10 +7776,10 @@ hookleftarrow
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\hookleftarrow$
 \end_inset
 
@@ -7219,38 +7794,40 @@ hookleftarrow
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
+
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 to
@@ -7258,10 +7835,10 @@ to
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\to$
 \end_inset
 
@@ -7271,11 +7848,11 @@ to
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Rightarrow
@@ -7283,10 +7860,10 @@ Rightarrow
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\Rightarrow$
 \end_inset
 
@@ -7296,11 +7873,11 @@ Rightarrow
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 longrightarrow
@@ -7308,10 +7885,10 @@ longrightarrow
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\longrightarrow$
 \end_inset
 
@@ -7321,11 +7898,11 @@ longrightarrow
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Longrightarrow
@@ -7333,10 +7910,10 @@ Longrightarrow
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\Longrightarrow$
 \end_inset
 
@@ -7346,11 +7923,11 @@ Longrightarrow
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 rightharpoonup
@@ -7358,10 +7935,10 @@ rightharpoonup
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\rightharpoonup$
 \end_inset
 
@@ -7371,11 +7948,11 @@ rightharpoonup
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 rightharpoondown
@@ -7383,10 +7960,10 @@ rightharpoondown
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\rightharpoondown$
 \end_inset
 
@@ -7396,11 +7973,11 @@ rightharpoondown
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 hookrightarrow
@@ -7408,10 +7985,10 @@ hookrightarrow
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\hookrightarrow$
 \end_inset
 
@@ -7426,44 +8003,47 @@ hookrightarrow
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
+
 
 \end_layout
 
 \begin_layout Standard
+\begin_inset space \hfill{}
+\end_inset
 
-\hfill
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="6" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 leftrightarrow
@@ -7471,10 +8051,10 @@ leftrightarrow
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\leftrightarrow$
 \end_inset
 
@@ -7484,11 +8064,11 @@ leftrightarrow
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Leftrightarrow
@@ -7496,10 +8076,10 @@ Leftrightarrow
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\Leftrightarrow$
 \end_inset
 
@@ -7509,11 +8089,11 @@ Leftrightarrow
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 longleftrightarrow
@@ -7521,10 +8101,10 @@ longleftrightarrow
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\longleftrightarrow$
 \end_inset
 
@@ -7534,11 +8114,11 @@ longleftrightarrow
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Longleftrightarrow
@@ -7546,10 +8126,10 @@ Longleftrightarrow
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\Longleftrightarrow$
 \end_inset
 
@@ -7559,11 +8139,11 @@ Longleftrightarrow
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 rightleftharpoons
@@ -7571,10 +8151,10 @@ rightleftharpoons
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\rightleftharpoons$
 \end_inset
 
@@ -7589,51 +8169,45 @@ rightleftharpoons
 \end_inset
 
 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
+\begin_inset space \hspace{}
+\length 25pt
+\end_inset
 
-\backslash
-hspace{25pt}
-\end_layout
 
+\begin_inset space \hfill{}
 \end_inset
 
 
-\hfill
-
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 mapsto
@@ -7641,10 +8215,10 @@ mapsto
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\mapsto$
 \end_inset
 
@@ -7654,11 +8228,11 @@ mapsto
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 longmapsto
@@ -7666,10 +8240,10 @@ longmapsto
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\longmapsto$
 \end_inset
 
@@ -7679,11 +8253,11 @@ longmapsto
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 leadsto
@@ -7691,10 +8265,10 @@ leadsto
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\leadsto$
 \end_inset
 
@@ -7704,11 +8278,11 @@ leadsto
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 dasharrow
@@ -7716,10 +8290,10 @@ dasharrow
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\dasharrow$
 \end_inset
 
@@ -7734,7 +8308,9 @@ dasharrow
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
+
 
 \end_layout
 
@@ -7742,10 +8318,17 @@ dasharrow
 \begin_inset VSpace medskip
 \end_inset
 
-Arrows used as accent like e.\InsetSpace \thinspace{}
-g.\InsetSpace ~
+Arrows used as accents like e.
+\begin_inset space \thinspace{}
+\end_inset
+
+g.
+\begin_inset space \space{}
+\end_inset
+
 vector arrows are listed in 
-\begin_inset LatexCommand ref
+\begin_inset CommandInset ref
+LatexCommand ref
 reference "sec:Accents"
 
 \end_inset
@@ -7758,8 +8341,12 @@ reference "sec:Accents"
 \end_inset
 
 Furthermore there are the labeled arrows
-\begin_inset LatexCommand index
-name "Arrows ! labeled"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Arrows ! labeled
+\end_layout
 
 \end_inset
 
@@ -7770,8 +8357,14 @@ name "Arrows ! labeled"
 xleftarrow
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! X ! \\textbackslash xleftarrow"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! X ! 
+\backslash
+xleftarrow
+\end_layout
 
 \end_inset
 
@@ -7782,8 +8375,27 @@ name "Commands ! X ! \\textbackslash xleftarrow"
 xrightarrow
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! X ! \\textbackslash xrightarrow\\vspace{4mm}"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! X ! 
+\backslash
+xrightarrow
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+vspace{4mm}
+\end_layout
+
+\end_inset
+
+
+\end_layout
 
 \end_inset
 
@@ -7797,63 +8409,38 @@ name "Commands ! X ! \\textbackslash xrightarrow\\vspace{4mm}"
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 F(a)
 \backslash
 xleftarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 x=a
@@ -7869,11 +8456,11 @@ F(x)
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{5mm}{}F(a)\xleftarrow[x>0]{x=a}F(x)\raisebox{-4mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $F(a)\xleftarrow[x>0]{x=a}F(x)$
 \end_inset
 
 
@@ -7882,24 +8469,15 @@ F(x)
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="2mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 F(x)
 \backslash
 xrightarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 x=a
@@ -7915,11 +8493,11 @@ F(a)
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{5mm}{}F(x)\xrightarrow[x>0]{x=a}F(a)\raisebox{-4mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $F(x)\xrightarrow[x>0]{x=a}F(a)$
 \end_inset
 
 
@@ -7935,68 +8513,114 @@ F(a)
 
 \end_layout
 
-\begin_layout Subsection
-Vertical and diagonal Arrows
-\begin_inset LatexCommand index
-name "Arrows ! diagonal"
+\begin_layout Standard
+\begin_inset VSpace medskip
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+If you set in the document settings under 
+\family sans
+Math
+\begin_inset space ~
+\end_inset
+
+Options
+\family default
+ for the package 
+\series bold
+mathtools
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Packages ! mathtools
+\end_layout
 
 \end_inset
 
+ the option 
+\family sans
+Load
+\begin_inset space ~
+\end_inset
 
-\begin_inset LatexCommand index
-name "Arrows ! vertical"
+always
+\family default
+, you have access to the following labeled arrows:
+\end_layout
 
+\begin_layout Standard
+\begin_inset Newpage newpage
 \end_inset
 
 
 \end_layout
 
 \begin_layout Standard
+\align center
+\begin_inset space \hspace*{\fill}
+\end_inset
 
-\hfill
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="7" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Result
+\begin_layout Plain Layout
+Example
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
-\backslash
-uparrow
+\family roman
+\series medium
+\shape up
+\size normal
+\emph off
+\bar no
+\strikeout off
+\uuline off
+\uwave off
+\noun off
+\color none
+
+\backslash
+xleftrightarrow
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\uparrow$
+\begin_layout Plain Layout
+\begin_inset Formula $\xleftrightarrow[x=a]{x>0}$
 \end_inset
 
 
@@ -8005,23 +8629,35 @@ uparrow
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="2mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
+
+\family roman
+\series medium
+\shape up
+\size normal
+\emph off
+\bar no
+\strikeout off
+\uuline off
+\uwave off
+\noun off
+\color none
 
 \backslash
-Uparrow
+xLeftarrow
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\Uparrow$
+\begin_layout Plain Layout
+\begin_inset Formula $\xLeftarrow[x=a]{x>0}$
 \end_inset
 
 
@@ -8030,23 +8666,35 @@ Uparrow
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="2mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-updownarrow
+
+\family roman
+\series medium
+\shape up
+\size normal
+\emph off
+\bar no
+\strikeout off
+\uuline off
+\uwave off
+\noun off
+\color none
+xRightarrow
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\updownarrow$
+\begin_layout Plain Layout
+\begin_inset Formula $\xRightarrow[x=a]{x>0}$
 \end_inset
 
 
@@ -8055,23 +8703,35 @@ updownarrow
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="2mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-Updownarrow
+
+\family roman
+\series medium
+\shape up
+\size normal
+\emph off
+\bar no
+\strikeout off
+\uuline off
+\uwave off
+\noun off
+\color none
+xLeftrightarrow
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\Updownarrow$
+\begin_layout Plain Layout
+\begin_inset Formula $\xLeftrightarrow[x=a]{x>0}$
 \end_inset
 
 
@@ -8080,23 +8740,35 @@ Updownarrow
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="2mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
+
+\family roman
+\series medium
+\shape up
+\size normal
+\emph off
+\bar no
+\strikeout off
+\uuline off
+\uwave off
+\noun off
+\color none
 
 \backslash
-Downarrow
+xhookleftarrow
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\Downarrow$
+\begin_layout Plain Layout
+\begin_inset Formula $\xhookleftarrow[x=a]{x>0}$
 \end_inset
 
 
@@ -8105,23 +8777,35 @@ Downarrow
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="2mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
+
+\family roman
+\series medium
+\shape up
+\size normal
+\emph off
+\bar no
+\strikeout off
+\uuline off
+\uwave off
+\noun off
+\color none
 
 \backslash
-downarrow
+xhookrightarrow
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\downarrow$
+\begin_layout Plain Layout
+\begin_inset Formula $\xhookrightarrow[x=a]{x>0}$
 \end_inset
 
 
@@ -8135,50 +8819,64 @@ downarrow
 \end_inset
 
 
-\hfill
+\begin_inset space \hspace*{\fill}
+\end_inset
+
 
 \begin_inset Tabular
-<lyxtabular version="3" rows="5" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<lyxtabular version="3" rows="7" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Result
+\begin_layout Plain Layout
+Example
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-nearrow
+
+\family roman
+\series medium
+\shape up
+\size normal
+\emph off
+\bar no
+\strikeout off
+\uuline off
+\uwave off
+\noun off
+\color none
+xleftharpoondown
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\nearrow$
+\begin_layout Plain Layout
+\begin_inset Formula $\xleftharpoondown[x=a]{x>0}$
 \end_inset
 
 
@@ -8187,23 +8885,35 @@ nearrow
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="2mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-searrow
+
+\family roman
+\series medium
+\shape up
+\size normal
+\emph off
+\bar no
+\strikeout off
+\uuline off
+\uwave off
+\noun off
+\color none
+xleftharpoonup
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\searrow$
+\begin_layout Plain Layout
+\begin_inset Formula $\xleftharpoonup[x=a]{x>0}$
 \end_inset
 
 
@@ -8212,23 +8922,35 @@ searrow
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="2mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-swarrow
+
+\family roman
+\series medium
+\shape up
+\size normal
+\emph off
+\bar no
+\strikeout off
+\uuline off
+\uwave off
+\noun off
+\color none
+xrightharpoondown
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\swarrow$
+\begin_layout Plain Layout
+\begin_inset Formula $\xrightharpoondown[x=a]{x>0}$
 \end_inset
 
 
@@ -8237,23 +8959,35 @@ swarrow
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="2mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-nwarrow
+
+\family roman
+\series medium
+\shape up
+\size normal
+\emph off
+\bar no
+\strikeout off
+\uuline off
+\uwave off
+\noun off
+\color none
+xrightharpoonup
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\nwarrow$
+\begin_layout Plain Layout
+\begin_inset Formula $\xrightharpoonup[x=a]{x>0}$
 \end_inset
 
 
@@ -8262,142 +8996,178 @@ nwarrow
 \end_inset
 </cell>
 </row>
-</lyxtabular>
-
-\end_inset
+<row topspace="2mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
 
-\hfill
+\backslash
 
+\family roman
+\series medium
+\shape up
+\size normal
+\emph off
+\bar no
+\strikeout off
+\uuline off
+\uwave off
+\noun off
+\color none
+xleftrightharpoons
 \end_layout
 
-\begin_layout Standard
-\begin_inset VSpace medskip
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
-Vertical arrows can be used also as delimiter together with the commands
- described in 
-\begin_inset LatexCommand ref
-reference "sub:Manual-Bracket-Size"
-
+\begin_layout Plain Layout
+\begin_inset Formula $\xleftrightharpoons[x=a]{x>0}$
 \end_inset
 
- and 
-\begin_inset LatexCommand ref
-reference "sub:Automatic-Bracket-Size"
-
-\end_inset
 
-.
 \end_layout
 
-\begin_layout Standard
+\end_inset
+</cell>
+</row>
+<row topspace="2mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
+\begin_inset Text
 
-\newpage
+\begin_layout Plain Layout
+
+\backslash
 
+\family roman
+\series medium
+\shape up
+\size normal
+\emph off
+\bar no
+\strikeout off
+\uuline off
+\uwave off
+\noun off
+\color none
+xrightleftharpoons
 \end_layout
 
-\begin_layout Section
-Accents
-\begin_inset LatexCommand label
-name "sec:Accents"
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
+\begin_inset Formula $\xrightleftharpoons[x=a]{x>0}$
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Accents"
+\end_layout
 
 \end_inset
+</cell>
+</row>
+</lyxtabular>
 
+\end_inset
 
-\end_layout
-
-\begin_layout Standard
-Accents can be inserted via the math toolbar button 
-\begin_inset Graphics
-       filename ../images/math/hat.png
-       scale 85
 
+\begin_inset space \hspace*{\fill}
 \end_inset
 
- or the commands listed in the following subsections.
-\end_layout
 
-\begin_layout Subsection
-Accents for one Character
-\begin_inset ERT
-status collapsed
+\end_layout
 
 \begin_layout Standard
+The command scheme is for all these arrows:
+\end_layout
 
+\begin_layout Standard
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="2" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
 
-\backslash
-texorpdfstring{
+\begin_layout Plain Layout
+Command
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
 
-
-\begin_inset Foot
-status collapsed
-
-\begin_layout Standard
-accents in text see 
-\begin_inset LatexCommand ref
-reference "sub:Accents-in-Text"
+\begin_layout Plain Layout
+Result
+\end_layout
 
 \end_inset
+</cell>
+</row>
+<row bottomspace="0.5mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
+F(a)
+\backslash
+xleftrightarrow[x=a]
+\backslash
+{x>0
+\begin_inset Formula $\to$
+\end_inset
 
+F(x)
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
+\begin_inset Formula $F(a)\xleftrightarrow[x=a]{x>0}F(x)$
+\end_inset
 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
 
-}{}
 \end_layout
 
 \end_inset
+</cell>
+</row>
+</lyxtabular>
 
+\end_inset
 
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Standard
 
-\backslash
-texorpdfstring is used to avoid that the footnote appears in the PDF-bookmark.
 \end_layout
 
-\begin_layout Standard
-More about 
-\backslash
-texorpdfstring is in section 
-\begin_inset LatexCommand ref
-reference "sub:Formulas-in-Section"
-
-\end_inset
+\begin_layout Subsection
+Vertical and diagonal Arrows
+\begin_inset Index idx
+status collapsed
 
-.
+\begin_layout Plain Layout
+Arrows ! diagonal
 \end_layout
 
 \end_inset
 
 
-\begin_inset LatexCommand label
-name "sub:Accents-for-one"
-
-\end_inset
-
+\begin_inset Index idx
+status collapsed
 
-\begin_inset LatexCommand index
-name "Accents ! for one character"
+\begin_layout Plain Layout
+Arrows ! vertical
+\end_layout
 
 \end_inset
 
@@ -8405,43 +9175,53 @@ name "Accents ! for one character"
 \end_layout
 
 \begin_layout Standard
+\begin_inset space \hfill{}
+\end_inset
 
-\hfill
 
 \begin_inset Tabular
-<lyxtabular version="3" rows="8" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<lyxtabular version="3" rows="7" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
-\begin_inset Note Note
-status collapsed
+\end_layout
 
-\begin_layout Standard
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
-\series bold
+\begin_layout Plain Layout
 
 \backslash
-raisebox
-\series default
- is only used as spacer.
+uparrow
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\uparrow$
+\end_inset
 
 
 \end_layout
@@ -8449,36 +9229,23 @@ raisebox
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-
-\backslash
-dot
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
+\begin_layout Plain Layout
 
 \backslash
-spce 
-\end_layout
-
-\end_inset
-
-A
+Uparrow
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{5mm}{}\dot{A}$
+\begin_layout Plain Layout
+\begin_inset Formula $\Uparrow$
 \end_inset
 
 
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-
-\backslash
-ddot
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
+\begin_layout Plain Layout
 
 \backslash
-spce 
-\end_layout
-
-\end_inset
-
-A
+updownarrow
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{5mm}{}\ddot{A}$
+\begin_layout Plain Layout
+\begin_inset Formula $\updownarrow$
 \end_inset
 
 
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-dddot
-\begin_inset ERT
-status collapsed
+Updownarrow
+\end_layout
 
-\begin_layout Standard
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\Updownarrow$
+\end_inset
 
 
-\backslash
-spce 
 \end_layout
 
 \end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
-A
+\begin_layout Plain Layout
+
+\backslash
+Downarrow
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{5mm}{}\dddot{A}$
+\begin_layout Plain Layout
+\begin_inset Formula $\Downarrow$
 \end_inset
 
 
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-ddddot{A
+downarrow
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{5mm}{}\ddddot{A}$
+\begin_layout Plain Layout
+\begin_inset Formula $\downarrow$
 \end_inset
 
 
@@ -8588,42 +9354,57 @@ ddddot{A
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
+</lyxtabular>
 
-\begin_layout Standard
+\end_inset
 
-\backslash
-vec
-\begin_inset ERT
-status collapsed
 
-\begin_layout Standard
+\begin_inset space \hfill{}
+\end_inset
 
 
-\backslash
-spce 
+\begin_inset Tabular
+<lyxtabular version="3" rows="5" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Command
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
 
-A
-\begin_inset LatexCommand index
-name "Vectors"
+\begin_layout Plain Layout
+Result
+\end_layout
 
 \end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
 
+\backslash
+nearrow
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{5mm}{}\vec{A}$
+\begin_layout Plain Layout
+\begin_inset Formula $\nearrow$
 \end_inset
 
 
@@ -8632,36 +9413,23 @@ name "Vectors"
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-
-\backslash
-bar
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
+\begin_layout Plain Layout
 
 \backslash
-spce 
-\end_layout
-
-\end_inset
-
-A
+searrow
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{5mm}{}\bar{A}$
+\begin_layout Plain Layout
+\begin_inset Formula $\searrow$
 \end_inset
 
 
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-mathring
-\begin_inset ERT
-status collapsed
+swarrow
+\end_layout
 
-\begin_layout Standard
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\swarrow$
+\end_inset
 
 
-\backslash
-spce 
 \end_layout
 
 \end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
+\begin_inset Text
 
-A
+\begin_layout Plain Layout
+
+\backslash
+nwarrow
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{5mm}{}\mathring{A}$
+\begin_layout Plain Layout
+\begin_inset Formula $\nwarrow$
 \end_inset
 
 
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
 
-\begin_inset Tabular
-<lyxtabular version="3" rows="7" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
-Command
 \end_layout
 
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-
 \begin_layout Standard
-Result
-\end_layout
-
+\begin_inset VSpace medskip
 \end_inset
-</cell>
-</row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
+Vertical arrows can be used also as delimiters together with the commands
+ described in 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Manual-Bracket-Size"
 
-\backslash
-tilde
-\begin_inset ERT
-status collapsed
+\end_inset
 
-\begin_layout Standard
+ and 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Automatic-Bracket-Size"
 
+\end_inset
 
-\backslash
-spce 
+.
 \end_layout
 
+\begin_layout Section
+Accents
+\begin_inset CommandInset label
+LatexCommand label
+name "sec:Accents"
+
 \end_inset
 
-A
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Accents
 \end_layout
 
 \end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Standard
-\begin_inset Formula $\raisebox{5mm}{}\tilde{A}$
-\end_inset
 
 
 \end_layout
 
+\begin_layout Standard
+Accents can be inserted via the math toolbar button 
+\begin_inset Info
+type  "icon"
+arg   "math-insert \\hat"
 \end_inset
-</cell>
-</row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
+ or the commands listed in the following subsections.
+\end_layout
 
-\backslash
-hat
+\begin_layout Subsection
+Accents for one Character
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
-spce 
+texorpdfstring{
 \end_layout
 
 \end_inset
 
-A
-\end_layout
 
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
+\begin_inset Foot
+status collapsed
+
+\begin_layout Plain Layout
+accents in text see 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Accents-in-Text"
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{5mm}{}\hat{A}$
 \end_inset
 
 
 \end_layout
 
 \end_inset
-</cell>
-</row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
 
-\backslash
-check
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
+
+}{}
+\end_layout
+
+\end_inset
+
+
+\begin_inset Note Note
+status collapsed
+
+\begin_layout Plain Layout
 
+\series bold
 
 \backslash
-spce 
+texorpdfstring
+\series default
+ is used to avoid that the footnote appears in the PDF-bookmark.
 \end_layout
 
+\begin_layout Plain Layout
+More about 
+\series bold
+
+\backslash
+texorpdfstring
+\series default
+ is in section 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Formulas-in-Section"
+
 \end_inset
 
-A
+.
 \end_layout
 
 \end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{5mm}{}\check{A}$
+
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Accents-for-one"
+
 \end_inset
 
 
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Accents ! for one character
 \end_layout
 
 \end_inset
-</cell>
-</row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
 
-\backslash
-acute
-\begin_inset ERT
-status collapsed
+\end_layout
 
 \begin_layout Standard
+\begin_inset space \hfill{}
+\end_inset
 
 
-\backslash
-spce 
+\begin_inset Tabular
+<lyxtabular version="3" rows="8" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Command
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
 
-A
+\begin_layout Plain Layout
+Result
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{5mm}{}\acute{A}$
-\end_inset
+\begin_layout Plain Layout
 
+\backslash
+dot
+\begin_inset space \textvisiblespace{}
+\end_inset
 
+A
 \end_layout
 
 \end_inset
 </cell>
-</row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
+\begin_inset Formula $\dot{A}$
+\end_inset
 
-\backslash
-grave
-\begin_inset ERT
-status collapsed
 
-\begin_layout Standard
+\end_layout
 
+\end_inset
+</cell>
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
-\backslash
-spce 
-\end_layout
+\begin_layout Plain Layout
 
+\backslash
+ddot
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 A
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{5mm}{}\grave{A}$
+\begin_layout Plain Layout
+\begin_inset Formula $\ddot{A}$
 \end_inset
 
 
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-
-\backslash
-breve
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
+\begin_layout Plain Layout
 
 \backslash
-spce 
-\end_layout
-
+dddot
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 A
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{5mm}{}\breve{A}$
+\begin_layout Plain Layout
+\begin_inset Formula $\dddot{A}$
 \end_inset
 
 
 \end_inset
 </cell>
 </row>
-</lyxtabular>
-
-\end_inset
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
 
-\hfill
+\backslash
+ddddot
+\begin_inset space \textvisiblespace{}
+\end_inset
 
+A
 \end_layout
 
-\begin_layout Standard
-\begin_inset VSpace bigskip
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\ddddot{A}$
 \end_inset
 
-To create umlauts
-\begin_inset LatexCommand index
-name "Umlauts"
+
+\end_layout
 
 \end_inset
+</cell>
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
- in formulas, a quotation mark is inserted before the vowel.
- These two characters are then treated by LaTeX as 
-\emph on
-one
-\emph default
- character when the formula part with the umlaut is marked as German.
- In contrary to 
-\series bold
+\begin_layout Plain Layout
 
 \backslash
-ddot
-\series default
-, with this method 
-\begin_inset Quotes eld
+vec
+\begin_inset space \textvisiblespace{}
 \end_inset
 
-real
-\begin_inset Quotes erd
-\end_inset
+A
+\begin_inset Index idx
+status collapsed
 
- umlauts are created as demonstrated in the following example:
+\begin_layout Plain Layout
+Vectors
 \end_layout
 
-\begin_layout Standard
-\begin_inset VSpace -2mm
 \end_inset
 
 
 \end_layout
 
-\begin_layout Standard
-\align center
-\begin_inset Tabular
-<lyxtabular version="3" rows="3" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Command
+\begin_layout Plain Layout
+\begin_inset Formula $\vec{A}$
+\end_inset
+
+
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Standard
-
-\series bold
+\begin_layout Plain Layout
 
 \backslash
-raisebox
-\series default
- is only used as spacer.
+bar
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\bar{A}$
+\end_inset
 
 
 \end_layout
@@ -9060,28 +9861,27 @@ raisebox
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
-\lang ngerman
-\begin_inset Quotes grd
+\backslash
+mathring
+\begin_inset space \textvisiblespace{}
 \end_inset
 
-i
+A
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-
-\lang ngerman
-\begin_inset Formula $"i$
+\begin_layout Plain Layout
+\begin_inset Formula $\mathring{A}$
 \end_inset
 
 
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
+</lyxtabular>
 
-\begin_layout Standard
+\end_inset
 
-\backslash
-ddot
-\begin_inset ERT
-status collapsed
 
-\begin_layout Standard
+\begin_inset space \hfill{}
+\end_inset
 
 
-\backslash
-spce 
+\begin_inset Tabular
+<lyxtabular version="3" rows="7" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Command
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
 
-i
+\begin_layout Plain Layout
+Result
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{5mm}{}\ddot{i}$
-\end_inset
+\begin_layout Plain Layout
 
+\backslash
+tilde
+\begin_inset space \textvisiblespace{}
+\end_inset
 
+A
 \end_layout
 
 \end_inset
 </cell>
-</row>
-</lyxtabular>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
+\begin_inset Formula $\tilde{A}$
 \end_inset
 
 
 \end_layout
 
-\begin_layout Standard
-Another advantage to 
-\series bold
+\end_inset
+</cell>
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
 
 \backslash
-ddot
-\series default
- is that umlauts can directly be converted to mathematical text because
- the accent commands above are 
-\emph on
-not allowed
-\emph default
-\emph on
-in mathematical text
-\emph default
-.
- To convert an accented character to mathematical text, only the character
- under the accent may be converted.
- This applies also for all other conversions, e.\InsetSpace \thinspace{}
-g.\InsetSpace ~
-to italic or bold.
-\end_layout
+hat
+\begin_inset space \textvisiblespace{}
+\end_inset
 
-\begin_layout Standard
-In mathematical text, umlauts and other accented characters can directly
- be inserted.
+A
 \end_layout
 
-\begin_layout Subsection
-Accents for Operators
-\begin_inset LatexCommand index
-name "Accents ! for operators"
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
+\begin_inset Formula $\hat{A}$
 \end_inset
 
 
 \end_layout
 
-\begin_layout Standard
-With the commands 
-\series bold
-
-\backslash
-overset
-\series default
-
-\begin_inset LatexCommand index
-name "Commands ! O ! \\textbackslash overset"
-
 \end_inset
+</cell>
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
- and 
-\series bold
+\begin_layout Plain Layout
 
 \backslash
-underset
-\series default
-
-\begin_inset LatexCommand index
-name "Commands ! U ! \\textbackslash underset"
-
+check
+\begin_inset space \textvisiblespace{}
 \end_inset
 
- characters can be placed above or below an operator, respectively, to accent
- it.
- With the command 
-\series bold
-
-\backslash
-sideset
-\series default
+A
+\end_layout
 
-\begin_inset LatexCommand index
-name "Commands ! S ! \\textbackslash sideset"
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
+\begin_inset Formula $\check{A}$
 \end_inset
 
- characters can be set before and behind an operator.
- The command scheme is:
+
 \end_layout
 
-\begin_layout Standard
+\end_inset
+</cell>
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
-\series bold
+\begin_layout Plain Layout
 
 \backslash
-sideset{character
-\series default
-\series bold
-before}{character
-\series default
-\series bold
-behind}
+acute
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A
 \end_layout
 
-\begin_layout Standard
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
-\series bold
+\begin_layout Plain Layout
+\begin_inset Formula $\acute{A}$
+\end_inset
 
-\backslash
-sideset
-\series default
- must always be before the operator that should be accented.
- You can accent with several characters and even with other operators and
- symbols.
- To place with 
-\series bold
 
-\backslash
-sideset
-\series default
- for example only characters behind an operator, write nothing between the
- first braces but don't omit the braces.
 \end_layout
 
-\begin_layout Standard
-For example the command 
-\series bold
-
-\backslash
-sideset{
-\begin_inset Formula $\to$
 \end_inset
+</cell>
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
 
 \backslash
-{
-\series default
-'
-\series bold
-
-\begin_inset Formula $\to$
+grave
+\begin_inset space \textvisiblespace{}
 \end_inset
 
+A
+\end_layout
 
-\backslash
-sum_k=1
-\begin_inset ERT
-status collapsed
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
+\begin_inset Formula $\grave{A}$
+\end_inset
 
 
-\backslash
-spce 
 \end_layout
 
 \end_inset
+</cell>
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
 
-\series default
-^
-\series bold
-n
-\series default
- produces:
-\begin_inset Formula \[
-\sideset{}{'}\sum_{k=1}^{n}\]
-
+\backslash
+breve
+\begin_inset space \textvisiblespace{}
 \end_inset
 
-
+A
 \end_layout
 
-\begin_layout Standard
-The command 
-\series bold
-
-\backslash
-overset
-\begin_inset ERT
-status collapsed
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
+\begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
+\begin_inset Formula $\breve{A}$
+\end_inset
 
 
-\backslash
-spce 
 \end_layout
 
 \end_inset
+</cell>
+</row>
+</lyxtabular>
 
+\end_inset
 
-\backslash
-maltese
-\begin_inset ERT
-status collapsed
 
-\begin_layout Standard
+\begin_inset space \hfill{}
+\end_inset
 
 
-\backslash
-spce 
 \end_layout
 
+\begin_layout Standard
+\begin_inset VSpace bigskip
 \end_inset
 
 
-\series default
-
-\begin_inset Formula $\uparrow$
-\end_inset
+\end_layout
 
+\begin_layout Standard
+You can directly insert accents like é to formulas.
+ \SpecialChar LyX
+ will transform them to the corresponding accent command.
+ For umlauts
+\begin_inset Index idx
+status collapsed
 
-\series bold
-a
-\series default
- produces:
-\begin_inset Formula \[
-\overset{a}{\maltese}\]
+\begin_layout Plain Layout
+Umlauts
+\end_layout
 
 \end_inset
 
-As seen in the last example, with 
-\series bold
-
-\backslash
-overset
-\series default
- and 
-\series bold
-
-\backslash
-underset
-\series default
- also symbols and characters can be accented; with 
+ it is better to insert a quotation mark before the vowel.
+ These two characters are then treated by \SpecialChar LaTeX
+ as 
+\emph on
+one
+\emph default
+ character when the formula part with the umlaut is marked as German.
+ In contrary to 
 \series bold
 
 \backslash
-sideset
+ddot
 \series default
- this is not possible.
-\end_layout
-
-\begin_layout Subsection
-Accents for several Characters
-\begin_inset LatexCommand label
-name "sub:Accents-for-several"
-
+, with this method 
+\begin_inset Quotes eld
 \end_inset
 
+real
+\begin_inset Quotes erd
+\end_inset
 
-\begin_inset LatexCommand index
-name "Accents ! for several characters"
+ umlauts are created as demonstrated in the following example:
+\end_layout
 
+\begin_layout Standard
+\begin_inset VSpace -2mm
 \end_inset
 
 
 \end_layout
 
 \begin_layout Standard
-
-\hfill
-
+\align center
 \begin_inset Tabular
-<lyxtabular version="3" rows="5" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<lyxtabular version="3" rows="3" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
 \end_layout
 
 \end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
+\begin_inset Quotes grd
+\end_inset
 
+i
 \end_layout
 
 \end_inset
 </cell>
-</row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-
-\backslash
-overleftarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
+\begin_layout Plain Layout
+\begin_inset space \hspace{}
+\length 0pt
+\end_inset
 
 
-\backslash
-spce 
-\end_layout
+\lang ngerman
 
+\begin_inset Formula $"i$
 \end_inset
 
-A=B
+
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{6mm}{}\overleftarrow{A=B}\raisebox{-2mm}{}$
-\end_inset
+\begin_layout Plain Layout
 
+\backslash
+ddot
+\begin_inset space \textvisiblespace{}
+\end_inset
 
+i
 \end_layout
 
 \end_inset
 </cell>
-</row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
+\begin_layout Plain Layout
+\begin_inset Formula $\ddot{i}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
+
+
+\end_layout
+
 \begin_layout Standard
+Another advantage to 
+\series bold
 
 \backslash
-underleftarrow
-\begin_inset ERT
-status collapsed
+ddot
+\series default
+ is that umlauts can directly be converted to mathematical text because
+ the accent commands above are 
+\emph on
+not allowed
+\emph default
+\emph on
+in mathematical text
+\emph default
+.
+ To convert an accented character to mathematical text, only the character
+ under the accent may be converted.
+ This applies also for all other conversions, e.
+\begin_inset space \thinspace{}
+\end_inset
 
-\begin_layout Standard
+g.
+\begin_inset space \space{}
+\end_inset
 
+to italic or bold.
+\end_layout
 
-\backslash
-spce 
+\begin_layout Standard
+In mathematical text, umlauts and other accented characters can directly
+ be inserted.
 \end_layout
 
+\begin_layout Standard
+\begin_inset VSpace bigskip
 \end_inset
 
-A=B
+
+\end_layout
+
+\begin_layout Standard
+\SpecialChar LyX
+ also supports a tilde under the character if the \SpecialChar LaTeX
+-package 
+\series bold
+undertilde
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Packages ! undertilde
 \end_layout
 
 \end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
+
+ is installed on your system:
+\end_layout
 
 \begin_layout Standard
-\begin_inset Formula $\raisebox{5mm}{}\underleftarrow{A=B}\raisebox{-3mm}{}$
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+ifundertilde 
+\end_layout
+
 \end_inset
 
 
+\begin_inset Note Note
+status open
+
+\begin_layout Plain Layout
+The following table will only be displayed when the \SpecialChar LaTeX
+-package 
+\series bold
+undertilde
+\series default
+ is installed.
 \end_layout
 
 \end_inset
-</cell>
-</row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
 
-\backslash
-overleftrightarrow
-\begin_inset ERT
-status collapsed
+\end_layout
 
 \begin_layout Standard
+\noindent
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="2" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
+Command
+\end_layout
 
-\backslash
-spce 
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Result
 \end_layout
 
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+utilde
+\begin_inset space \textvisiblespace{}
 \end_inset
 
-A=B
+A
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{6mm}{}\overleftrightarrow{A=B}\raisebox{-2mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $\utilde{A}$
 \end_inset
 
 
@@ -9547,94 +10407,129 @@ A=B
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
+</lyxtabular>
 
-\begin_layout Standard
+\end_inset
 
-\backslash
-underleftrightarrow
+
+\end_layout
+
+\begin_layout Standard
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
-spc
+els
 \end_layout
 
 \end_inset
 
-A=B
+
+\begin_inset Note Note
+status open
+
+\begin_layout Plain Layout
+The following will be displayed when the \SpecialChar LaTeX
+-package 
+\series bold
+undertilde
+\series default
+ is not installed:
 \end_layout
 
 \end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
+
+
+\end_layout
+
+\begin_layout Standard
+You need to install the \SpecialChar LaTeX
+-package 
+\series bold
+undertilde
+\series default
+ to see the rest of this subsection in the output.
+\end_layout
 
 \begin_layout Standard
-\begin_inset Formula $\raisebox{5mm}{}\underleftrightarrow{A=B}\raisebox{-3mm}{}$
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+fi 
+\end_layout
+
 \end_inset
 
 
 \end_layout
 
+\begin_layout Standard
+\begin_inset Newpage newpage
 \end_inset
-</cell>
-</row>
-</lyxtabular>
+
+
+\end_layout
+
+\begin_layout Subsection
+Accents for several Characters
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Accents ! for several characters
+\end_layout
 
 \end_inset
 
 
-\hfill
+\end_layout
+
+\begin_layout Standard
+\begin_inset space \hfill{}
+\end_inset
+
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-
-\backslash
-overrightarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
+\begin_layout Plain Layout
 
 \backslash
-spce 
-\end_layout
-
+overleftarrow
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 A=B
@@ -9642,11 +10537,11 @@ A=B
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{6mm}{}\overrightarrow{A=B}\raisebox{-2mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $\overleftarrow{A=B}$
 \end_inset
 
 
@@ -9655,24 +10550,15 @@ A=B
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-
-\backslash
-underrightarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
+\begin_layout Plain Layout
 
 \backslash
-spce 
-\end_layout
-
+underleftarrow
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 A=B
@@ -9680,11 +10566,11 @@ A=B
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{5mm}{}\underrightarrow{A=B}\raisebox{-3mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $\underleftarrow{A=B}$
 \end_inset
 
 
@@ -9693,24 +10579,15 @@ A=B
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-
-\backslash
-widetilde
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
+\begin_layout Plain Layout
 
 \backslash
-spce 
-\end_layout
-
+overleftrightarrow
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 A=B
@@ -9718,11 +10595,11 @@ A=B
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{6mm}{}\widetilde{A=B}\raisebox{-2mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $\overleftrightarrow{A=B}$
 \end_inset
 
 
@@ -9731,24 +10608,15 @@ A=B
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm" bottomspace="1mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-
-\backslash
-widehat
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
+\begin_layout Plain Layout
 
 \backslash
-spce 
-\end_layout
-
+underleftrightarrow
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 A=B
@@ -9756,11 +10624,11 @@ A=B
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{6mm}{}\widehat{A=B}\raisebox{-2mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $\underleftrightarrow{A=B}$
 \end_inset
 
 
@@ -9774,7 +10642,159 @@ A=B
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
+
+
+\begin_inset Tabular
+<lyxtabular version="3" rows="5" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Command
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Result
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+overrightarrow
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A=B
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\overrightarrow{A=B}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+underrightarrow
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A=B
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\underrightarrow{A=B}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+widetilde
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A=B
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\widetilde{A=B}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row topspace="1.5mm" bottomspace="1mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+widehat
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A=B
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\widehat{A=B}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
+
+
+\begin_inset space \hfill{}
+\end_inset
+
 
 \end_layout
 
@@ -9797,8 +10817,10 @@ widehat
 \series default
  will only be set in the output with a length of three characters, as shown
  in the following example:
-\begin_inset Formula \[
-\widetilde{A+B=C-D}\]
+\begin_inset Formula 
+\[
+\widetilde{A+B=C-D}
+\]
 
 \end_inset
 
@@ -9813,8 +10835,14 @@ With the commands
 overset
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! O ! \\textbackslash overset"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! O ! 
+\backslash
+overset
+\end_layout
 
 \end_inset
 
@@ -9825,8 +10853,14 @@ name "Commands ! O ! \\textbackslash overset"
 underset
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! U ! \\textbackslash underset"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! U ! 
+\backslash
+underset
+\end_layout
 
 \end_inset
 
@@ -9837,16 +10871,7 @@ name "Commands ! U ! \\textbackslash underset"
 
 \backslash
 underset
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 A=B
@@ -9856,8 +10881,10 @@ A=B
 ***
 \series default
  creates:
-\begin_inset Formula \[
-\underset{***}{A=B}\]
+\begin_inset Formula 
+\[
+\underset{***}{A=B}
+\]
 
 \end_inset
 
@@ -9866,14 +10893,19 @@ A=B
 
 \begin_layout Section
 Space
-\begin_inset LatexCommand label
-name "sub:Space"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Space"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Space ! horizontal"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Space ! horizontal
+\end_layout
 
 \end_inset
 
@@ -9882,14 +10914,19 @@ name "Space ! horizontal"
 
 \begin_layout Subsection
 Predefined Space
-\begin_inset LatexCommand label
-name "sub:Predefined-Space"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Predefined-Space"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Space ! horizontal ! predefined"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Space ! horizontal ! predefined
+\end_layout
 
 \end_inset
 
@@ -9897,34 +10934,25 @@ name "Space ! horizontal ! predefined"
 \end_layout
 
 \begin_layout Standard
-Sometimes it is necessary to insert horizontal space to a formula.
+Sometimes it is necessary to insert horizontal space into a formula.
  This is done by inserting a protected space (shortcut 
-\family sans
-Ctrl-Space
-\family default
+\begin_inset Info
+type  "shortcut"
+arg   "command-alternatives space-insert protected ; math-space"
+\end_inset
+
 ).
- A blue 
+ A 
 \begin_inset Quotes eld
 \end_inset
 
 
-\series bold
 \color blue
 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
-\series default
 \color inherit
 
 \begin_inset Quotes erd
@@ -9936,10 +10964,9 @@ Space
 \family default
  several times one can select one of eight different space sizes.
  The spaces can also be inserted using the math toolbar button 
-\begin_inset Graphics
-       filename ../images/math/space.png
-       scale 85
-
+\begin_inset Info
+type  "icon"
+arg   "math-insert \\space"
 \end_inset
 
  or special commands.
@@ -9954,205 +10981,173 @@ Space
 \begin_layout Standard
 \noindent
 \align center
-\begin_inset VSpace -5mm
-\end_inset
-
-
 \begin_inset Tabular
-<lyxtabular version="3" rows="3" columns="7">
-<features>
-<column alignment="center" valignment="middle" leftline="true" width="6.8cm">
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<lyxtabular version="3" rows="6" columns="3">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top" width="15col%">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-
-\backslash
-,
+\begin_layout Plain Layout
+Number of 
+\family sans
+Space
+\family default
+ keystrokes
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-
-\backslash
-:
+\begin_layout Plain Layout
+Result
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+</row>
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-;
+,
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-
-\backslash
-quad
+\begin_layout Plain Layout
+0
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
+\begin_inset Formula $A\,B$
+\end_inset
+
 
-\backslash
-qquad
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+</row>
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-!
+:
 \end_layout
 
 \end_inset
 </cell>
-</row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Number of 
-\family sans
-Space
-\family default
- keystrokes after inserting the protected space
+\begin_layout Plain Layout
+1
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-0
+\begin_layout Plain Layout
+\begin_inset Formula $A\:B$
+\end_inset
+
+
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+</row>
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-1
+\begin_layout Plain Layout
+
+\backslash
+;
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 2
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-3
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Standard
-4
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Standard
-5
+\begin_layout Plain Layout
+\begin_inset Formula $A\;B$
+\end_inset
+
+
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Standard
-Result
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $A\, B$
-\end_inset
-
+\begin_layout Plain Layout
 
+\backslash
+quad
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $A\: B$
-\end_inset
-
-
+\begin_layout Plain Layout
+3
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $A\; B$
+\begin_layout Plain Layout
+\begin_inset Formula $A\quad B$
 \end_inset
 
 
@@ -10160,35 +11155,33 @@ Result
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+</row>
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $A\quad B$
-\end_inset
-
+\begin_layout Plain Layout
 
+\backslash
+qquad
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $A\qquad B$
-\end_inset
-
-
+\begin_layout Plain Layout
+4
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $A\! B$
+\begin_layout Plain Layout
+\begin_inset Formula $A\qquad B$
 \end_inset
 
 
@@ -10202,66 +11195,57 @@ Result
 \end_inset
 
 
-\end_layout
+\begin_inset space \hfill{}
+\end_inset
 
-\begin_layout Standard
-The last size seem to produce no space.
- It is displayed red in LyX contrary to the other sizes, because it is a
- negative space.
- There are two more negative spaces:
-\end_layout
 
-\begin_layout Standard
-\align center
 \begin_inset Tabular
-<lyxtabular version="3" rows="3" columns="3">
-<features>
-<column alignment="center" valignment="middle" leftline="true" width="6.8cm">
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<lyxtabular version="3" rows="6" columns="3">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top" width="15col%">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-
-\backslash
-negmedspace
+\begin_layout Plain Layout
+Number of 
+\family sans
+Space
+\family default
+ keystrokes
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-
-\backslash
-negthickspace
+\begin_layout Plain Layout
+Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
+<row>
 <cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Number of 
-\family sans
-Space
-\family default
- keystrokes after inserting the protected space
+\begin_layout Plain Layout
+
+\backslash
+hfill
 \end_layout
 
 \end_inset
@@ -10269,8 +11253,8 @@ Space
 <cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-6
+\begin_layout Plain Layout
+5
 \end_layout
 
 \end_inset
@@ -10278,40 +11262,42 @@ Space
 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-7
+\begin_layout Plain Layout
+\begin_inset Formula $A\hfill B$
+\end_inset
+
+
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell multicolumn="1" alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Result
+\begin_layout Plain Layout
+
+\backslash
+hspace*{1em}
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $A\negmedspace B$
-\end_inset
-
-
+\begin_layout Plain Layout
+6
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $A\negthickspace B$
+\begin_layout Plain Layout
+\begin_inset Formula $A\hspace*{1em}B$
 \end_inset
 
 
@@ -10320,56 +11306,32 @@ Result
 \end_inset
 </cell>
 </row>
-</lyxtabular>
-
-\end_inset
-
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
+\begin_inset Text
 
-\end_layout
+\begin_layout Plain Layout
 
-\begin_layout Standard
-Negative spaces can lead to characters overlapping each other.
- Thus they can be used to enforce ligatures, what is e.\InsetSpace \thinspace{}
-g.\InsetSpace ~
-useful for summation
- operators: 
+\backslash
+hspace{1em}
 \end_layout
 
-\begin_layout Standard
-\align center
-\begin_inset Tabular
-<lyxtabular version="3" rows="3" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Command
+\begin_layout Plain Layout
+7
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
+\begin_layout Plain Layout
+\begin_inset Formula $A\hspace{1em}B$
 \end_inset
 
 
@@ -10378,38 +11340,36 @@ raisebox
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-sum
-\backslash
-sum
-\begin_inset ERT
-status collapsed
 
-\begin_layout Standard
+\begin_inset space \textvisiblespace{}
+\end_inset
 
 
-\backslash
-spce 
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
+\begin_inset Text
 
-f_kl
+\begin_layout Plain Layout
+8
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{4.5mm}{}\sum\sum f_{kl}\raisebox{-2.5mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $A\ B$
 \end_inset
 
 
@@ -10418,40 +11378,32 @@ f_kl
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-
-\backslash
-sum
-\backslash
-negmedspace
-\backslash
-sum
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
+\begin_layout Plain Layout
 
 \backslash
-spce 
+!
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
 
-f_kl
+\begin_layout Plain Layout
+9
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{4.5mm}{}\sum\negmedspace\sum f_{kl}\raisebox{-2.5mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $A\!B$
 \end_inset
 
 
@@ -10468,36 +11420,73 @@ f_kl
 \end_layout
 
 \begin_layout Standard
-Relations like for example equal signs, are always surrounded by space.
- To suppress this, the equal sign is placed into a TeX-brace.
- The following example demonstrates this:
+Space
+\begin_inset space ~
+\end_inset
+
+5
+\begin_inset space \thinspace{}
+\end_inset
+
+–
+\begin_inset space \thinspace{}
+\end_inset
+
+7 are variable spaces which are explained in 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Variable-Space"
+
+\end_inset
+
+.
+ Space
+\begin_inset space ~
+\end_inset
+
+9 seems to produce no space.
+ It is displayed red in \SpecialChar LyX
+ contrary to the other sizes, because it is a negative
+ space.
+ There are two more negative spaces:
 \end_layout
 
 \begin_layout Standard
 \align center
 \begin_inset Tabular
-<lyxtabular version="3" rows="2" columns="2">
-<features>
+<lyxtabular version="3" rows="3" columns="3">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="middle" width="6.8cm">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-normal equation
+\begin_layout Plain Layout
+Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $A=B$
+\begin_layout Plain Layout
+
+\backslash
+negmedspace
+\end_layout
+
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
 
+\backslash
+negthickspace
 \end_layout
 
 \end_inset
@@ -10507,35 +11496,248 @@ normal equation
 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
+\begin_layout Plain Layout
+Number of 
+\family sans
+Space
+\family default
+ keystrokes after inserting the protected space
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+10
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+11
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell multicolumn="1" alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Result
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $A\negmedspace B$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $A\negthickspace B$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
+
+
+\end_layout
+
 \begin_layout Standard
-\begin_inset Note Note
-status collapsed
+Negative spaces can lead to characters overlapping each other.
+ Thus they can be used to enforce ligatures, which are e.
+\begin_inset space \thinspace{}
+\end_inset
+
+g.
+\begin_inset space \space{}
+\end_inset
+
+useful for summation operators:
+\end_layout
 
 \begin_layout Standard
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="3" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
 
-\series bold
+\begin_layout Plain Layout
+Command
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Result
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
 
 \backslash
-raisebox
-\series default
- is only used as spacer.
+sum
+\backslash
+sum
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+f_kl
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\sum\sum f_{kl}$
+\end_inset
 
 
-\begin_inset Formula $\raisebox{5mm}{}$
+\end_layout
+
 \end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
 
-equation without space
+\begin_layout Plain Layout
+
+\backslash
+sum
+\backslash
+negmedspace
+\backslash
+sum
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+f_kl
 \end_layout
 
 \end_inset
 </cell>
-<cell multicolumn="1" alignment="center" valignment="top" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
+\begin_layout Plain Layout
+\begin_inset Formula $\sum\negmedspace\sum f_{kl}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\noindent
+\begin_inset VSpace medskip
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\noindent
+Relations like for example equal signs, are always surrounded by space.
+ To suppress this, the equal sign is placed into a \SpecialChar TeX
+ brace.
+ The following example demonstrates this:
+\end_layout
+
 \begin_layout Standard
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="2" columns="2">
+<features tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+normal equation
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $A=B$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+equation without space
+\end_layout
+
+\end_inset
+</cell>
+<cell multicolumn="1" alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
 \begin_inset Formula $A{=}B$
 \end_inset
 
 \begin_inset VSpace bigskip
 \end_inset
 
+
+\end_layout
+
+\begin_layout Standard
 Spaces are needed for physical units, because the space between the value
  and the unit is the smallest one and not a normal space.
  For units in text, the smallest space is inserted via the menu 
 \family sans
-Insert\SpecialChar \menuseparator
-Formatting\SpecialChar \menuseparator
-Thin\InsetSpace ~
+Insert\SpecialChar menuseparator
+Formatting\SpecialChar menuseparator
+Thin
+\begin_inset space ~
+\end_inset
+
 Space
 \family default
  (shortcut 
-\family sans
-Ctrl-Shift-Space
-\family default
+\begin_inset Info
+type  "shortcut"
+arg   "space-insert thin"
+\end_inset
+
 ).
 \end_layout
 
@@ -10592,14 +11803,14 @@ An example to visualize the difference:
 \begin_layout Standard
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features>
-<column alignment="left" valignment="top" width="0">
-<column alignment="left" valignment="top" width="0">
+<features tabularvalignment="middle">
+<column alignment="left" valignment="top">
+<column alignment="left" valignment="top">
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 24 kW
 \begin_inset Formula $\cdot$
 \end_inset
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 space between value and unit
 \end_layout
 
@@ -10620,11 +11831,14 @@ space between value and unit
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-24\InsetSpace \thinspace{}
+\begin_layout Plain Layout
+24
+\begin_inset space \thinspace{}
+\end_inset
+
 kW
 \begin_inset Formula $\cdot$
 \end_inset
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 smallest space between value and unit
 \end_layout
 
@@ -10656,7 +11870,7 @@ Variable Space
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -10669,10 +11883,11 @@ texorpdfstring{
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 for vertical space in formulas see 
-\begin_inset LatexCommand ref
-reference "sub:Line-Separation"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Line-Separation"
 
 \end_inset
 
@@ -10685,7 +11900,7 @@ reference "sub:Line-Separation"
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 }{}
 \end_layout
@@ -10696,18 +11911,19 @@ status collapsed
 \begin_inset Note Note
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 texorpdfstring is used to avoid that the footnote appears in the PDF-bookmark.
 \end_layout
 
-\begin_layout Standard
+\begin_layout Plain Layout
 More about 
 \backslash
 texorpdfstring is in section 
-\begin_inset LatexCommand ref
-reference "sub:Formulas-in-Section"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Formulas-in-Section"
 
 \end_inset
 
@@ -10717,14 +11933,19 @@ reference "sub:Formulas-in-Section"
 \end_inset
 
 
-\begin_inset LatexCommand label
-name "sub:Variable-Space"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Variable-Space"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Space ! horizontal ! variable"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Space ! horizontal ! variable
+\end_layout
 
 \end_inset
 
@@ -10732,109 +11953,173 @@ name "Space ! horizontal ! variable"
 \end_layout
 
 \begin_layout Standard
-Space with a defined length can be inserted in LyX with the command
-\newline
-
+Space with a defined length can be inserted with the command 
 \series bold
 
 \backslash
-hspace{length}
+hspace
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! H ! \\textbackslash hspace"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! H ! 
+\backslash
+hspace
+\end_layout
 
 \end_inset
 
 .
- For the length all units listed in 
-\begin_inset LatexCommand ref
-reference "tab:Used-units"
+ Then a long 
+\begin_inset Quotes eld
+\end_inset
+
 
+\color blue
+
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\color inherit
+
+\begin_inset Quotes erd
 \end_inset
 
- are allowed, except of the unit 
+ appears.
+ The length can be specified by left-clicking on the 
 \begin_inset Quotes eld
 \end_inset
 
-mu
+
+\color blue
+
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\color inherit
+
 \begin_inset Quotes erd
 \end_inset
 
 .
  The length may also be negative.
- To insert so many space that the formula uses all available space, the
- command 
+ When a space would be the first character in a line it would be omitted.
To force its output use the command 
 \series bold
 
 \backslash
-hfill
+hspace*
 \series default
+ instead of 
+\series bold
 
-\begin_inset LatexCommand index
-name "Commands ! H ! \\textbackslash hfill"
-
-\end_inset
-
- is used.
-\end_layout
+\backslash
+hspace
+\series default
+ or left-click on the 
+\begin_inset Quotes eld
+\end_inset
 
-\begin_layout Standard
-\begin_inset VSpace -1mm
+
+\color blue
+
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\color inherit
+
+\begin_inset Quotes erd
+\end_inset
+
+ and check the option 
+\family sans
+Protect
+\family default
+.
+\begin_inset Newline newline
 \end_inset
 
+To insert as much space as is available, the command 
+\series bold
+
+\backslash
+hfill
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! H ! 
+\backslash
+hfill
+\end_layout
+
+\end_inset
 
+ is used.
 \end_layout
 
 \begin_layout Standard
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Command
+\begin_layout Plain Layout
+Command (
+\backslash
+hspace length)
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 A=B
 \backslash
-hspace{3cm
-\begin_inset Formula $\to$
+hspace
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 A
 \backslash
-not=C
+not=C (3
+\begin_inset space \thinspace{}
+\end_inset
+
+cm)
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $A=B\hspace{3cm}A\not=C$
 \end_inset
 
@@ -10844,28 +12129,32 @@ not=C
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 A
 \backslash
-hspace{-1mm
-\begin_inset Formula $\to$
+hspace
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 A
 \backslash
-not=A
+not=A (-1
+\begin_inset space \thinspace{}
+\end_inset
+
+mm)
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $A\hspace{-1mm}A\not=A$
 \end_inset
 
@@ -10875,24 +12164,15 @@ not=A
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 A=A
 \backslash
 hfill
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 B=B
@@ -10900,10 +12180,10 @@ B=B
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $A=A\hfill B=B$
 \end_inset
 
@@ -10938,13 +12218,14 @@ hfill
 \backslash
 hfill
 \series default
has only an effect on displayed formulas when the formula style 
only has an effect on displayed formulas when the formula style 
 \series bold
 Indented
 \series default
  is used.
  (Formula styles are explained in 
-\begin_inset LatexCommand ref
+\begin_inset CommandInset ref
+LatexCommand ref
 reference "sec:Formula-Styles"
 
 \end_inset
@@ -10953,126 +12234,77 @@ reference "sec:Formula-Styles"
 \end_layout
 
 \begin_layout Standard
-The command
+Beside
 \series bold
 
 \backslash
-hspace
+hfill
 \series default
- and 
+, there are the commands 
 \series bold
 
 \backslash
-hfill
+dotfill
 \series default
- can also be inserted in TeX-mode to use them for text:
-\end_layout
-
-\begin_layout Standard
-This is a line with
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
+ and 
+\series bold
 
 \backslash
-hspace{2cm}
-\end_layout
+hrulefill
+\series default
+ that fill the space with a pattern, see 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Ellipses"
 
 \end_inset
 
-2\InsetSpace \thinspace{}
-cm space.
-\end_layout
-
-\begin_layout Standard
-This is a line with
-\hfill
-maximum space.
+ for an example.
 \end_layout
 
 \begin_layout Standard
-In the last example 
-\series bold
-
-\backslash
-hfill
-\series default
- was inserted via the menu 
+For text, variable space can be inserted via the menu 
 \family sans
-Insert\SpecialChar \menuseparator
-Formatting\SpecialChar \menuseparator
-Horizontal\InsetSpace ~
-Fill
+Insert\SpecialChar menuseparator
+Formatting\SpecialChar menuseparator
+Horizontal
+\begin_inset space ~
+\end_inset
+
+Space
 \family default
-, what is not possible in formulas.
- This has the advantage that one can directly see in LyX that this is a
- stretch space.
+:
 \end_layout
 
 \begin_layout Standard
-When the commands are at the begin of a text line but not at the beginning
- of a paragraph, they will be ignored by LaTeX.
- To avoid that, the command 
-\series bold
-
-\backslash
-hspace*
-\series default
- is used instead of 
-\series bold
-
-\backslash
-hspace
-\series default
-.
- To get the same with 
-\series bold
-
-\backslash
-hfill
-\series default
-, a line break and an empty placeholder
-\series bold
-
-\begin_inset Foot
-status collapsed
-
-\begin_layout Standard
-for placeholders see 
-\begin_inset LatexCommand ref
-reference "sub:Placeholders"
-
+This is a line with
+\begin_inset space \hspace{}
+\length 2cm
 \end_inset
 
+2
+\begin_inset space \thinspace{}
+\end_inset
 
+cm space.
 \end_layout
 
+\begin_layout Standard
+This is a line with
+\begin_inset space \hfill{}
 \end_inset
 
-
-\series default
- is inserted in TeX-mode with the command 
-\series bold
-
-\backslash
-vphantom{} 
-\series default
-before 
-\series bold
-
-\backslash
-hfill
-\series default
-.
+maximum space.
 \end_layout
 
 \begin_layout Subsection
 Space besides inline Formulas
-\begin_inset LatexCommand index
-name "Space ! besides inline formulas"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Space ! besides inline formulas
+\end_layout
 
 \end_inset
 
@@ -11086,27 +12318,39 @@ The space that surrounds inline formulas can be adjusted with the length
 
 \backslash
 mathsurround
-\begin_inset LatexCommand index
-name "Commands ! M ! \\textbackslash mathsurround"
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! M ! 
+\backslash
+mathsurround
+\end_layout
 
 \end_inset
 
-
-\series default
 .
  The value of a length is set with the command 
 \series bold
 
 \backslash
 setlength
-\begin_inset LatexCommand index
-name "Commands ! S ! \\textbackslash setlength"
+\series default
 
-\end_inset
+\begin_inset Index idx
+status collapsed
 
+\begin_layout Plain Layout
+Commands ! S ! 
+\backslash
+setlength
+\end_layout
 
-\series default
- that has the following scheme:
+\end_inset
+
+ which has the following scheme:
 \end_layout
 
 \begin_layout Standard
@@ -11124,7 +12368,10 @@ To set
 \backslash
 mathsurround
 \series default
- to the value 5\InsetSpace \thinspace{}
+ to the value 5
+\begin_inset space \thinspace{}
+\end_inset
+
 mm, the command
 \end_layout
 
@@ -11139,13 +12386,17 @@ mathsurround}{5mm}
 \end_layout
 
 \begin_layout Standard
-is inserted in TeX-mode.
- 5\InsetSpace \thinspace{}
+is inserted in \SpecialChar TeX
+ mode.
+ 5
+\begin_inset space \thinspace{}
+\end_inset
+
 mm space will now be set around all inline formulas:
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -11164,12 +12415,15 @@ This is a line with an inline formula
 \begin_inset Formula $A=B$
 \end_inset
 
- with 5\InsetSpace \thinspace{}
+ with 5
+\begin_inset space \thinspace{}
+\end_inset
+
 mm surrounding space.
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -11190,20 +12444,60 @@ To return to the predefined value,
 \backslash
 mathsurround
 \series default
- is set to the value 0\InsetSpace \thinspace{}
+ is set to the value 0
+\begin_inset space \thinspace{}
+\end_inset
+
 pt.
 \end_layout
 
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
 \begin_layout Section
 Boxes and Frames
-\begin_inset LatexCommand index
-name "Boxes"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Boxes
+\end_layout
+
+\end_inset
+
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Frames | see
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+{
+\end_layout
+
+\end_inset
+
+Boxes
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+}
+\end_layout
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Frames | see {Boxes}"
+\end_layout
 
 \end_inset
 
@@ -11217,7 +12511,10 @@ Boxes
 \family default
  in the 
 \family typewriter
-Embedded\InsetSpace ~
+Embedded
+\begin_inset space ~
+\end_inset
+
 Objects
 \family default
  manual.
@@ -11225,14 +12522,19 @@ Objects
 
 \begin_layout Subsection
 Boxes with Frame
-\begin_inset LatexCommand label
-name "sub:Boxes-with-Frame"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Boxes-with-Frame"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Boxes ! with frame"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Boxes ! with frame
+\end_layout
 
 \end_inset
 
@@ -11240,15 +12542,21 @@ name "Boxes ! with frame"
 \end_layout
 
 \begin_layout Standard
-It is possible to frame formulas or parts of it with the commands 
+It is possible to frame a formula or part of one with the commands 
 \series bold
 
 \backslash
 fbox
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! F ! \\textbackslash fbox"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! F ! 
+\backslash
+fbox
+\end_layout
 
 \end_inset
 
@@ -11259,8 +12567,14 @@ name "Commands ! F ! \\textbackslash fbox"
 boxed
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! B ! \\textbackslash boxed"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! B ! 
+\backslash
+boxed
+\end_layout
 
 \end_inset
 
@@ -11268,7 +12582,7 @@ name "Commands ! B ! \\textbackslash boxed"
 \end_layout
 
 \begin_layout Standard
-When one of these commands is inserted to a formula, a blue box appears
+When one of these commands is inserted in a formula, a blue box appears
  within a frame to enter formula parts.
  For 
 \series bold
@@ -11278,55 +12592,18 @@ fbox
 \series default
  an additional formula has to be created by 
 \family sans
-Ctrl-m
+Ctrl+M
 \family default
- within this box
-\begin_inset Foot
-status collapsed
-
-\begin_layout Standard
-Due to a bug in LyX it is not possible to create a new formula with 
-\family sans
-Ctrl-m
-\family default
-, see 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-href{http://bugzilla.lyx.org/show_bug.cgi?id=1435}{
-\end_layout
-
-\end_inset
-
-LyX-bug #1435
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-}
-\end_layout
-
-\end_inset
-
-.
-\end_layout
-
-\end_inset
-
-, because the box content will otherwise be treated as mathematical text.
- When 
-\series bold
-
-\backslash
-boxed
-\series default
- is used, a new formula is automatically created inside the frame.
-\end_layout
+ within this box, because the box content will otherwise be treated as mathemati
+cal text.
+ When 
+\series bold
+
+\backslash
+boxed
+\series default
+ is used, a new formula is automatically created inside the frame.
+\end_layout
 
 \begin_layout Standard
 The command 
@@ -11335,7 +12612,7 @@ The command
 \backslash
 fbox
 \series default
- is not suitable to frame displayed formulas, because the formula will always
+ is not suitable to frame displayed formulas because the formula will always
  be set in the size of the text.
  
 \series bold
@@ -11348,21 +12625,27 @@ boxed
 \end_layout
 
 \begin_layout Standard
-As extension to 
+An extension to 
 \series bold
 
 \backslash
 fbox
 \series default
there is the command 
+ is the command 
 \series bold
 
 \backslash
 framebox
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! F ! \\textbackslash framebox"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! F ! 
+\backslash
+framebox
+\end_layout
 
 \end_inset
 
 \emph default
  right aligns the formula in the box.
  When no position is given, the formula will be centered.
-\newline
-Is no width given,
- also no position can be given.
+\begin_inset Newline newline
+\end_inset
+
+If no width is given, also no position can be given.
  In this case the frame width is adjusted to the box content like for 
 \series bold
 
@@ -11424,40 +12708,6 @@ When the command
 framebox
 \series default
  is inserted, a box appears containing three blue boxes.
-\begin_inset Foot
-status collapsed
-
-\begin_layout Standard
-Due to a bug in LyX the cursor has to be placed left beside blue the boxes
- to fill them, see 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-href{http://bugzilla.lyx.org/show_bug.cgi?id=2461}{
-\end_layout
-
-\end_inset
-
-LyX-bug #2461
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-}
-\end_layout
-
-\end_inset
-
-.
-\end_layout
-
-\end_inset
-
  The first two boxes are surrounded by brackets and denote the two optional
  arguments.
  The third box is for formula parts like for 
@@ -11469,149 +12719,52 @@ fbox
 .
 \end_layout
 
-\begin_layout Standard
-\align center
-\begin_inset Note Note
-status open
-
-\begin_layout Standard
-The table has been set into a minipage to make the footnote appearing.
- Otherwise the footnote text would not be displayed.
-\end_layout
-
-\end_inset
-
-
-\begin_inset Box Frameless
-position "c"
-hor_pos "c"
-has_inner_box 1
-inner_pos "c"
-use_parbox 0
-width "100col%"
-special "none"
-height "1in"
-height_special "totalheight"
-status open
-
 \begin_layout Standard
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
-\begin_inset Foot
-status collapsed
-
-\begin_layout Standard
-Due to a bug in LyX it is not possible to create a new formula with 
-\family sans
-Ctrl-m
-\family default
-, see 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-href{http://bugzilla.lyx.org/show_bug.cgi?id=1435}{
-\end_layout
-
-\end_inset
-
-LyX-bug #1435
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-}
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 fbox
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
 \family sans
-Ctrl-m
+Ctrl+M
 \family default
  
 \backslash
 int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 A=B
@@ -11619,12 +12772,11 @@ A=B
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula \raisebox{6mm}{}\fbox{$\int A=B$}\raisebox{-4mm}{}
-
+\begin_layout Plain Layout
+\begin_inset Formula $\fbox{\ensuremath{\int A=B}}$
 \end_inset
 
 
@@ -11633,39 +12785,21 @@ A=B
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 boxed
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
 \backslash
 int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 A=B
@@ -11673,11 +12807,11 @@ A=B
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{8.5mm}{}\boxed{\int A=B}\raisebox{-6.5mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $\boxed{\int A=B}$
 \end_inset
 
 
@@ -11686,24 +12820,15 @@ A=B
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 A+
 \backslash
 fbox
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 B
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{6mm}{}A+\fbox{B}\raisebox{-3mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $A+\fbox{B}$
 \end_inset
 
 
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm" bottomspace="1mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 framebox
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 20mm
@@ -11754,21 +12870,12 @@ spce
 
 
 \family sans
-Ctrl-m
+Ctrl+M
 \family default
  
 \backslash
 frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 A
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{6mm}{}$
-\end_inset
-
-
-\begin_inset Formula $\framebox[20mm]{$\frac{A}{B}$}$
-\end_inset
-
-
-\begin_inset Formula $\raisebox{-4mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $\framebox[20mm][]{\ensuremath{\frac{A}{B}}}$
 \end_inset
 
 
 \end_inset
 
 
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
 The frame thickness can also be adjusted.
- To do this the following commands have to be inserted in TeX-mode before
- the formula
+ To do this the following commands have to be inserted in \SpecialChar TeX
+ mode before the
+ formula
 \end_layout
 
 \begin_layout Standard
@@ -11871,7 +12966,7 @@ distance
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -11883,8 +12978,10 @@ fboxsep 3mm
 \end_inset
 
 
-\begin_inset Formula \[
-\boxed{A+B=C}\]
+\begin_inset Formula 
+\[
+\boxed{A+B=C}
+\]
 
 \end_inset
 
@@ -11914,7 +13011,8 @@ fboxsep
 \end_layout
 
 \begin_layout Standard
-were inserted in TeX-mode.
+were inserted in \SpecialChar TeX
+ mode.
  The given values are used for all following boxes.
 \end_layout
 
@@ -11947,7 +13045,7 @@ fboxsep
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -11962,19 +13060,25 @@ fboxsep 3pt
 \end_layout
 
 \begin_layout Standard
-is inserted in TeX-mode before the next formula.
+is inserted in \SpecialChar TeX
+ mode before the next formula.
 \end_layout
 
 \begin_layout Subsection
 Boxes without Frame
-\begin_inset LatexCommand label
-name "sub:Boxes-without-Frame"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Boxes-without-Frame"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Boxes ! without frame"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Boxes ! without frame
+\end_layout
 
 \end_inset
 
@@ -11989,8 +13093,14 @@ For boxes without a frame there are the following box commands:
 mbox
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! M ! \\textbackslash mbox"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! M ! 
+\backslash
+mbox
+\end_layout
 
 \end_inset
 
@@ -12001,20 +13111,32 @@ name "Commands ! M ! \\textbackslash mbox"
 makebox
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! M ! \\textbackslash makebox"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! M ! 
+\backslash
+makebox
+\end_layout
 
 \end_inset
 
-, and 
+ and 
 \series bold
 
 \backslash
 raisebox
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! R ! \\textbackslash raisebox"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! R ! 
+\backslash
+raisebox
+\end_layout
 
 \end_inset
 
@@ -12057,40 +13179,74 @@ When the box should contain a formula, an extra formula is needed like for
 fbox
 \series default
 .
+\series medium
+
+\begin_inset Note Greyedout
+status open
+
+\begin_layout Plain Layout
+
+\series bold
+Note:
+\series default
+ For 
+\series bold
+
+\backslash
+raisebox
+\series default
+ this extra formula is created by pressing 
+\family sans
+Ctrl+M
+\family default
+ twice instead of once because \SpecialChar LyX
+ doesn't yet support 
+\series bold
+
+\backslash
+raisebox
+\series default
+ directly.
+\end_layout
+
+\end_inset
+
+
 \end_layout
 
 \begin_layout Standard
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 H
 \backslash
 raisebox{2mm
@@ -12108,10 +13264,10 @@ raisebox{2mm
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $H\raisebox{2mm}{al}lo$
 \end_inset
 
@@ -12121,11 +13277,11 @@ raisebox{2mm
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 H
 \backslash
 raisebox{-2mm
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $H\raisebox{-2mm}{al}lo$
 \end_inset
 
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 A=
 \backslash
 raisebox{-2mm
@@ -12171,21 +13327,16 @@ raisebox{-2mm
 \backslash
 {
 \family sans
-Ctrl-m
+Ctrl+M
+\family default
+\family sans
+Ctrl+M
 \family default
  
 \backslash
 sqrt
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 B 
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-$A=
-\backslash
-raisebox{-2mm}{$
-\backslash
-sqrt{B}$}$
-\end_layout
-
+\begin_layout Plain Layout
+\begin_inset Formula $A=\raisebox{-2mm}{\mbox{\ensuremath{\sqrt{B}}}}$
 \end_inset
 
 
@@ -12222,45 +13362,6 @@ sqrt{B}$}$
 \end_inset
 
 
-\end_layout
-
-\begin_layout Standard
-The last formula can currently only be created using TeX-mode because LyX
- inserts a box instead of the needed extra formula.
-\begin_inset Foot
-status collapsed
-
-\begin_layout Standard
-see 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-href{http://bugzilla.lyx.org/show_bug.cgi?id=1435}{
-\end_layout
-
-\end_inset
-
-LyX-bug #1435
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-}
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -12293,14 +13394,19 @@ framebox
 
 \begin_layout Subsection
 Colored Boxes
-\begin_inset LatexCommand label
-name "sub:Colored-Boxes"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Colored-Boxes"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Boxes ! colored"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Boxes ! colored
+\end_layout
 
 \end_inset
 
@@ -12308,8 +13414,8 @@ name "Boxes ! colored"
 \end_layout
 
 \begin_layout Standard
-To be able to use all commands explained in this section, the LaTeX-package
+To be able to use all commands explained in this section, the \SpecialChar LaTeX
+-package 
 \series bold
 color
 \series default
@@ -12317,35 +13423,44 @@ color
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
-The LaTeX-package 
+\begin_layout Plain Layout
+The \SpecialChar LaTeX
+-package 
 \series bold
 color
 \series default
- is part of every LaTeX standard installation.
+ is part of every \SpecialChar LaTeX
+ standard installation.
 \end_layout
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Packages ! color"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Packages ! color
+\end_layout
 
 \end_inset
 
- has to be loaded in the LaTeX-preamble with the line
+ has to be loaded in the \SpecialChar LaTeX
+-preamble with the line
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 When text is colored somewhere in the document with a predefined color,
- LyX loads the LaTeX-package 
+ \SpecialChar LyX
+ loads the \SpecialChar LaTeX
+ package 
 \series bold
 color
 \series default
  automatically.
- Thus it is possible that the package is loaded twice, but this doesn't
arise problems.
+ Thus it is possible that the package is loaded twice, but this does not
cause problems.
 \end_layout
 
 \end_inset
@@ -12354,9 +13469,9 @@ color
 \begin_inset Note Note
 status collapsed
 
-\begin_layout Standard
-To avoid that the package is loaded twice, a macro was inserted to the LaTeX-pre
-amble.
+\begin_layout Plain Layout
+To avoid that the package is loaded twice, a macro was inserted to the \SpecialChar LaTeX
+-preamble.
 \end_layout
 
 \end_inset
@@ -12383,8 +13498,14 @@ To color boxes, the command
 colorbox
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! C ! \\textbackslash colorbox"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! C ! 
+\backslash
+colorbox
+\end_layout
 
 \end_inset
 
@@ -12408,48 +13529,23 @@ colorbox
 \series default
  can also be part of another box (see the 2nd and 3rd example).
  When the box should contain a formula, an extra formula has to be created,
- the same as for 
+ the same way as for 
 \series bold
 
 \backslash
-fbox
+raisebox
 \series default
 .
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 This also applies for the command 
 \series bold
 
 \backslash
 fcolorbox
 \series default
-.
- Thereby note 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-href{http://bugzilla.lyx.org/show_bug.cgi?id=1435}{
-\end_layout
-
-\end_inset
-
-LyX-bug #1435
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-}
-\end_layout
-
-\end_inset
-
 .
 \end_layout
 
@@ -12491,7 +13587,7 @@ red
 \series bold
 white
 \series default
-, and 
+ and 
 \series bold
 yellow
 \end_layout
@@ -12500,50 +13596,34 @@ yellow
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 colorbox{yellow
@@ -12557,11 +13637,11 @@ colorbox{yellow
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{6mm}{}\colorbox{yellow}{A=B}\raisebox{-3mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $\colorbox{yellow}{A=B}$
 \end_inset
 
 
@@ -12570,11 +13650,11 @@ colorbox{yellow
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 colorbox{green
@@ -12586,16 +13666,7 @@ colorbox{green
 {
 \backslash
 fbox
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 A=B
@@ -12603,11 +13674,11 @@ A=B
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{6mm}{}\colorbox{green}{\fbox{A=B}}\raisebox{-3mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $\colorbox{green}{\fbox{A=B}}$
 \end_inset
 
 
@@ -12616,24 +13687,15 @@ A=B
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm" bottomspace="1mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 fbox
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
@@ -12644,16 +13706,30 @@ colorbox{green
 
 
 \backslash
-{A=B
+{
+\family sans
+Ctrl+M
+\family default
+\family sans
+Ctrl+M
+\family default
+\backslash
+int
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+C=D
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{6mm}{}\fbox{\colorbox{green}{A=B}}\raisebox{-3mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $\fbox{\colorbox{green}{\mbox{\ensuremath{\int C=D}}}}$
 \end_inset
 
 
@@ -12677,29 +13753,34 @@ colorbox{green
 colorbox
 \series default
  only colors the box but not the characters in the box.
- To color all characters, the whole formula is highlighted and the wanted
+ To color all characters, the whole formula is highlighted and the desired
  color is chosen in the 
 \family sans
-Text\InsetSpace ~
+Text
+\begin_inset space ~
+\end_inset
+
 Style
 \family default
  dialog.
  The dialog can be called with the toolbar button 
-\begin_inset Graphics
-       filename ../images/dialog-show_character.png
-       scale 85
-
+\begin_inset Info
+type  "icon"
+arg   "dialog-show character"
 \end_inset
 
  or the menu 
 \family sans
-Edit\SpecialChar \menuseparator
-Text\InsetSpace ~
-Style\SpecialChar \menuseparator
+Edit\SpecialChar menuseparator
+Text
+\begin_inset space ~
+\end_inset
+
+Style\SpecialChar menuseparator
 Customized
 \family default
 .
- The formula number has then the same color as the formula.
+ The formula number then has the same color as the formula.
  When the formula number should get another color than the formula characters,
  the color must be changed within the formula.
 \end_layout
@@ -12711,16 +13792,20 @@ An example:
 \begin_layout Standard
 
 \color red
-\begin_inset Formula \begin{equation}
-\int A=B\label{eq:red}\end{equation}
+\begin_inset Formula 
+\begin{equation}
+\int A=B\label{eq:red}
+\end{equation}
 
 \end_inset
 
 
 \color green
 
-\begin_inset Formula \begin{equation}
-\textcolor{red}{\int A=B}\label{eq:redgreen}\end{equation}
+\begin_inset Formula 
+\begin{equation}
+\textcolor{red}{\int A=B}\label{eq:redgreen}
+\end{equation}
 
 \end_inset
 
@@ -12729,15 +13814,19 @@ An example:
 
 \begin_layout Standard
 Formula 
-\begin_inset LatexCommand eqref
+\begin_inset CommandInset ref
+LatexCommand eqref
 reference "eq:red"
 
 \end_inset
 
  is completely colored red.
-\newline
+\begin_inset Newline newline
+\end_inset
+
 Formula 
-\begin_inset LatexCommand eqref
+\begin_inset CommandInset ref
+LatexCommand eqref
 reference "eq:redgreen"
 
 \end_inset
@@ -12757,8 +13846,14 @@ To color the frame different than the rest of the box, the command
 fcolorbox
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! F ! \\textbackslash fcolorbox"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! F ! 
+\backslash
+fcolorbox
+\end_layout
 
 \end_inset
 
@@ -12810,7 +13905,7 @@ fboxsep
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -12822,8 +13917,10 @@ fboxsep 1mm
 \end_inset
 
 
-\begin_inset Formula \[
-\fcolorbox{cyan}{magenta}{A=B}\]
+\begin_inset Formula 
+\[
+\fcolorbox{cyan}{magenta}{A=B}
+\]
 
 \end_inset
 
@@ -12831,7 +13928,7 @@ fboxsep 1mm
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -12847,7 +13944,9 @@ fboxsep 3pt
 
 \begin_layout Standard
 This formula was created with the command
-\newline
+\begin_inset Newline newline
+\end_inset
+
 
 \series bold
 
@@ -12889,7 +13988,8 @@ darkgreen
 \begin_inset Quotes erd
 \end_inset
 
- with the LaTeX-preamble line:
+ with the \SpecialChar LaTeX
+-preamble line:
 \end_layout
 
 \begin_layout Standard
@@ -12912,8 +14012,14 @@ definecolor{darkgreen}{cmyk}{0.5,
 0.5}
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! D ! \\textbackslash definecolor"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! D ! 
+\backslash
+definecolor
+\end_layout
 
 \end_inset
 
@@ -12937,15 +14043,21 @@ magenta
 \series bold
 yellow
 \series default
-, and 
+ and 
 \series bold
 black
 \series default
 .
  The four comma separated numbers are the portion factor for the corresponding
  colors of the color space.
- The factors can be in the range of 0\InsetSpace \thinspace{}
--\InsetSpace \thinspace{}
+ The factors can be in the range of 0
+\begin_inset space \thinspace{}
+\end_inset
+
+-
+\begin_inset space \thinspace{}
+\end_inset
+
 1.
  Instead of 
 \series bold
@@ -12968,7 +14080,7 @@ red
 \series bold
 green
 \series default
-, and 
+ and 
 \series bold
 blue
 \series default
@@ -12991,8 +14103,10 @@ darkgreen
 yellow
 \series default
 :
-\begin_inset Formula \begin{equation}
-\colorbox{darkgreen}{\color{yellow}\boxed{\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}}}\end{equation}
+\begin_inset Formula 
+\begin{equation}
+\colorbox{darkgreen}{\color{yellow}\boxed{\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}}}
+\end{equation}
 
 \end_inset
 
@@ -13000,7 +14114,7 @@ yellow
 \end_layout
 
 \begin_layout Standard
-Self-defined colors can also be be used for text with the help of the command
+Self-defined colors can also be used for text with the help of the command
  
 \series bold
 
@@ -13008,8 +14122,12 @@ Self-defined colors can also be be used for text with the help of the command
 textcolor
 \series default
 :
-\begin_inset LatexCommand index
-name "Text ! colored"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Text ! colored
+\end_layout
 
 \end_inset
 
@@ -13020,7 +14138,7 @@ name "Text ! colored"
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -13041,7 +14159,7 @@ darkgreen
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 }
 \end_layout
@@ -13059,8 +14177,14 @@ status collapsed
 textcolor
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! T ! \\textbackslash textcolor"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! T ! 
+\backslash
+textcolor
+\end_layout
 
 \end_inset
 
@@ -13075,14 +14199,19 @@ textcolor{color}{characters to color}
 
 \begin_layout Subsection
 Paragraph Boxes
-\begin_inset LatexCommand label
-name "sub:Paragraph-Boxes"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Paragraph-Boxes"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Boxes ! as paragraph"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Boxes ! as paragraph
+\end_layout
 
 \end_inset
 
@@ -13090,17 +14219,16 @@ name "Boxes ! as paragraph"
 \end_layout
 
 \begin_layout Standard
-A box that can contain several lines and paragraphs, a so called paragraph
+A box that can contain several lines and paragraphs, a so-called paragraph
  box (parbox), can be created with the menu 
 \family sans
-Insert\SpecialChar \menuseparator
+Insert\SpecialChar menuseparator
 Box
 \family default
  or the toolbar button 
-\begin_inset Graphics
-       filename ../images/box-insert.png
-       scale 85
-
+\begin_inset Info
+type  "icon"
+arg   "box-insert"
 \end_inset
 
 .
@@ -13121,15 +14249,24 @@ hor_pos "c"
 has_inner_box 1
 inner_pos "t"
 use_parbox 1
+use_makebox 0
 width "5cm"
 special "none"
 height "1in"
 height_special "totalheight"
+thickness "0.4pt"
+separation "3pt"
+shadowsize "4pt"
+framecolor "black"
+backgroundcolor "none"
 status open
 
-\begin_layout Standard
+\begin_layout Plain Layout
 This is a paragraph box.
- It is exactly 5\InsetSpace \thinspace{}
+ It is exactly 5
+\begin_inset space \thinspace{}
+\end_inset
+
 cm long and can also contain formulas: 
 \begin_inset Formula $\int A\,\mathrm{d}s=C$
 \end_inset
@@ -13156,7 +14293,7 @@ Such a box is created by right-clicking on the gray box inset.
 \emph on
 Decoration
 \emph default
-: Recangular box, 
+: Rectangular box, 
 \emph on
 Inner Box
 \emph default
@@ -13164,7 +14301,10 @@ Inner Box
 \emph on
 Width
 \emph default
-: 5\InsetSpace \thinspace{}
+: 5
+\begin_inset space \thinspace{}
+\end_inset
+
 cm, 
 \emph on
 Vertical Box Alignment
@@ -13176,19 +14316,26 @@ Vertical Box Alignment
 \begin_inset VSpace medskip
 \end_inset
 
-In LaTeX a parbox is created with the command 
+In \SpecialChar LaTeX
+ a parbox is created with the command 
 \series bold
 
 \backslash
 parbox
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! P ! \\textbackslash parbox"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! P ! 
+\backslash
+parbox
+\end_layout
 
 \end_inset
 
that has the following scheme:
which has the following scheme:
 \end_layout
 
 \begin_layout Standard
 \emph on
 b
 \emph default
- for bottom means that the box is aligned within the surrounding text with
- its last line.
+ for 
+\begin_inset Quotes eld
+\end_inset
+
+bottom
+\begin_inset Quotes erd
+\end_inset
+
+ means that the box is aligned within the surrounding text with its last
+ line.
  With 
 \emph on
 t
 \emph default
- for top this is done with the first line.
+ for 
+\begin_inset Quotes eld
+\end_inset
+
+top
+\begin_inset Quotes erd
+\end_inset
+
+ this is done with the first line.
  When no position is given, the box will be vertically centered, see section
  
 \emph on
@@ -13227,7 +14390,10 @@ Boxes
 \emph default
  of the 
 \emph on
-Embedded\InsetSpace ~
+Embedded
+\begin_inset space ~
+\end_inset
+
 Objects
 \emph default
  manual for examples.
@@ -13253,58 +14419,35 @@ fboxsep-2
 \backslash
 fboxrule}{
 \series default
- is inserted in TeX-mode before the formula.
+ is inserted in \SpecialChar TeX
+ mode before the formula.
  
 \series bold
 
 \backslash
 linewidth
-\begin_inset LatexCommand index
-name "Commands ! L ! \\textbackslash linewidth"
-
-\end_inset
-
-
 \series default
- is hereby the line width set for the document.
- Because the frame is outside the parbox, 2\InsetSpace \thinspace{}
-times the frame separation and
- the frame thickness must be subtracted from the line width.
- As this is not automatically done by LyX due to a bug
-\begin_inset Foot
-status collapsed
 
-\begin_layout Standard
-\begin_inset ERT
+\begin_inset Index idx
 status collapsed
 
-\begin_layout Standard
-
-
+\begin_layout Plain Layout
+Commands ! L ! 
 \backslash
-href{http://bugzilla.lyx.org/show_bug.cgi?id=4483}{
-\end_layout
-
-\end_inset
-
-LyX-bug #4483
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-}
+linewidth
 \end_layout
 
 \end_inset
 
-
-\end_layout
-
+ is hereby the line width set for the document.
+ Because the frame is outside the parbox, 2
+\begin_inset space \thinspace{}
 \end_inset
 
-, TeX-mode has to be used.
- To be able to multiply and subtract in arguments, the LaTeX-package 
+times the frame separation and the frame thickness must be subtracted from
+ the line width.
+ To be able to multiply and subtract in arguments, the \SpecialChar LaTeX
+-package 
 \series bold
 calc
 \series default
@@ -13312,23 +14455,29 @@ calc
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \series bold
 calc
 \series default
- is part of every LaTeX standard installation.
+ is part of every \SpecialChar LaTeX
+ standard installation.
 \end_layout
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Packages ! calc"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Packages ! calc
+\end_layout
 
 \end_inset
 
- must be loaded in the LaTeX-preamble with the line
+ must be loaded in the \SpecialChar LaTeX
+-preamble with the line
 \end_layout
 
 \begin_layout Standard
@@ -13344,12 +14493,13 @@ Behind the formula both boxes are closed by entering
 \series bold
 }}
 \series default
- in TeX-mode.
+ in \SpecialChar TeX
+ mode.
  Here is an example:
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -13367,7 +14517,7 @@ fboxrule 5mm
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -13385,8 +14535,10 @@ fboxrule}{
 \end_inset
 
 
-\begin_inset Formula \begin{equation}
-\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}\end{equation}
+\begin_inset Formula 
+\begin{equation}
+\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}
+\end{equation}
 
 \end_inset
 
@@ -13394,7 +14546,7 @@ fboxrule}{
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 }}
 \end_layout
@@ -13405,7 +14557,7 @@ status collapsed
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -13423,7 +14575,7 @@ fboxsep 3pt
 \begin_inset VSpace medskip
 \end_inset
 
-As a parbox is used as argument of 
+As a parbox is used as the argument of 
 \series bold
 
 \backslash
@@ -13469,8 +14621,9 @@ tag
 tag
 \series default
  see 
-\begin_inset LatexCommand ref
-reference "sub:User-defined-Numbering"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:User-defined-Numbering"
 
 \end_inset
 
@@ -13491,7 +14644,7 @@ parbox
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -13509,7 +14662,7 @@ This is a description.
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 }}
 \backslash
@@ -13522,8 +14675,10 @@ status collapsed
 \end_layout
 
 \begin_layout Standard
-Such a formula must be inserted completely in TeX-mode because LyX does
- not yet support the command 
+Such a formula must be inserted completely in \SpecialChar TeX
+ mode because \SpecialChar LyX
+ does not yet
+ support the command 
 \series bold
 
 \backslash
@@ -13546,11 +14701,12 @@ tag*
 \backslash
 parbox{5cm}{
 \series default
- is inserted in TeX-mode.
+ is inserted in \SpecialChar TeX
+ mode.
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 When the formula style 
 \series bold
 Indented
@@ -13571,7 +14727,8 @@ hfill
 \series default
 .
  (formula styles see 
-\begin_inset LatexCommand ref
+\begin_inset CommandInset ref
+LatexCommand ref
 reference "sec:Formula-Styles"
 
 \end_inset
@@ -13581,13 +14738,14 @@ reference "sec:Formula-Styles"
 
 \end_inset
 
- Then the description follows as normal text, and finally 
+ Then the description follows as normal text and finally 
 \series bold
 }}
 \backslash
 ]
 \series default
- is inserted in TeX-mode.
+ is inserted in \SpecialChar TeX
+ mode.
  The commands 
 \series bold
 
@@ -13619,8 +14777,10 @@ commented
 \end_inset
 
  using the mathematical textmode:
-\begin_inset Formula \[
-5x-7b=3b\textrm{This is a description. It is not separated from the formula ...}\]
+\begin_inset Formula 
+\[
+5x-7b=3b\textrm{This is a description. It is not separated from the formula ...}
+\]
 
 \end_inset
 
@@ -13629,8 +14789,12 @@ commented
 
 \begin_layout Section
 Operators
-\begin_inset LatexCommand index
-name "Operators"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Operators
+\end_layout
 
 \end_inset
 
@@ -13639,26 +14803,39 @@ name "Operators"
 
 \begin_layout Subsection
 Big Operators
-\begin_inset LatexCommand label
-name "sub:Big-Operators"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Big-Operators"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Operators ! big"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Operators ! big
+\end_layout
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Sums"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Sums
+\end_layout
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Integrals"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Integrals
+\end_layout
 
 \end_inset
 
@@ -13672,51 +14849,61 @@ Use esint package automatically
 \family default
  must be set in the document settings under 
 \family sans
-Math\InsetSpace ~
+Math
+\begin_inset space ~
+\end_inset
+
 Options
 \family default
 .
 \end_layout
 
 \begin_layout Standard
+\begin_inset space \hfill{}
+\end_inset
 
-\hfill
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="11" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-sum
-\begin_inset LatexCommand index
-name "Commands ! S ! \\textbackslash sum"
+int
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! I ! 
+\backslash
+int
+\end_layout
 
 \end_inset
 
@@ -13725,11 +14912,11 @@ name "Commands ! S ! \\textbackslash sum"
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\sum$
+\begin_layout Plain Layout
+\begin_inset Formula $\int$
 \end_inset
 
 
@@ -13738,29 +14925,23 @@ name "Commands ! S ! \\textbackslash sum"
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-int
-\begin_inset LatexCommand index
-name "Commands ! I ! \\textbackslash int"
-
-\end_inset
-
-
+oint
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\int$
+\begin_layout Plain Layout
+\begin_inset Formula $\oint$
 \end_inset
 
 
@@ -13769,23 +14950,23 @@ name "Commands ! I ! \\textbackslash int"
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-intop
+ointctrclockwise
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\intop$
+\begin_layout Plain Layout
+\begin_inset Formula $\ointctrclockwise$
 \end_inset
 
 
@@ -13794,23 +14975,23 @@ intop
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-oint
+ointclockwise
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\oint$
+\begin_layout Plain Layout
+\begin_inset Formula $\ointclockwise$
 \end_inset
 
 
@@ -13819,23 +15000,23 @@ oint
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-ointop
+sqint
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\ointop$
+\begin_layout Plain Layout
+\begin_inset Formula $\sqint$
 \end_inset
 
 
@@ -13844,23 +15025,24 @@ ointop
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-ointctrclockwise
+fint
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\ointctrclockwise$
+\begin_layout Plain Layout
+\begin_inset Formula $\fint$
 \end_inset
 
 
@@ -13869,23 +15051,24 @@ ointctrclockwise
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-ointclockwise
+landupint
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\ointclockwise$
+\begin_layout Plain Layout
+\begin_inset Formula $\landupint$
 \end_inset
 
 
@@ -13894,23 +15077,24 @@ ointclockwise
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-sqint
+landdownint
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\sqint$
+\begin_layout Plain Layout
+\begin_inset Formula $\landdownint$
 \end_inset
 
 
@@ -13919,11 +15103,11 @@ sqint
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 bigcap
@@ -13931,10 +15115,10 @@ bigcap
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\bigcap$
 \end_inset
 
@@ -13944,11 +15128,11 @@ bigcap
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 bigcup
@@ -13956,10 +15140,10 @@ bigcup
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\bigcup$
 \end_inset
 
@@ -13974,43 +15158,51 @@ bigcup
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
+
 
 \begin_inset Tabular
-<lyxtabular version="3" rows="10" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<lyxtabular version="3" rows="11" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-prod
-\begin_inset LatexCommand index
-name "Commands ! P ! \\textbackslash prod"
+sum
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! S ! 
+\backslash
+sum
+\end_layout
 
 \end_inset
 
@@ -14019,11 +15211,11 @@ name "Commands ! P ! \\textbackslash prod"
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\prod$
+\begin_layout Plain Layout
+\begin_inset Formula $\sum$
 \end_inset
 
 
@@ -14032,11 +15224,61 @@ name "Commands ! P ! \\textbackslash prod"
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
+
+\backslash
+prod
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! P ! 
+\backslash
+prod
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+vspace{4mm}
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\prod$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
 
 \backslash
 coprod
@@ -14044,10 +15286,10 @@ coprod
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\coprod$
 \end_inset
 
@@ -14057,11 +15299,11 @@ coprod
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 bigodot
@@ -14069,10 +15311,10 @@ bigodot
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\bigodot$
 \end_inset
 
@@ -14082,11 +15324,11 @@ bigodot
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 bigotimes
@@ -14094,10 +15336,10 @@ bigotimes
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\bigotimes$
 \end_inset
 
@@ -14107,11 +15349,11 @@ bigotimes
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 bigoplus
@@ -14119,10 +15361,10 @@ bigoplus
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\bigoplus$
 \end_inset
 
@@ -14132,11 +15374,11 @@ bigoplus
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 bigwedge
@@ -14144,10 +15386,10 @@ bigwedge
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\bigwedge$
 \end_inset
 
@@ -14157,11 +15399,11 @@ bigwedge
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 bigvee
@@ -14169,10 +15411,10 @@ bigvee
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\bigvee$
 \end_inset
 
@@ -14182,11 +15424,11 @@ bigvee
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 bigsqcup
@@ -14194,10 +15436,10 @@ bigsqcup
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\bigsqcup$
 \end_inset
 
@@ -14207,11 +15449,11 @@ bigsqcup
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 biguplus
@@ -14219,10 +15461,10 @@ biguplus
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\biguplus$
 \end_inset
 
@@ -14237,16 +15479,17 @@ biguplus
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
+
 
 \end_layout
 
 \begin_layout Standard
 All big operators can also be inserted via the math toolbar button 
-\begin_inset Graphics
-       filename ../images/math/intop.png
-       scale 85
-
+\begin_inset Info
+type  "icon"
+arg   "math-insert \\intop"
 \end_inset
 
 .
@@ -14259,34 +15502,38 @@ The operators are called big because they are bigger than the sometimes
 \end_layout
 
 \begin_layout Standard
-The operators 
+For all integral operators there is a second version available, ending in
+\series bold
+op
+\series default
+: 
 \series bold
 
 \backslash
 intop
 \series default
- and 
+, 
 \series bold
 
 \backslash
 ointop
 \series default
- are different from 
+ etc..
+ These operators are different from 
 \series bold
 
 \backslash
 int
 \series default
- and 
-\series bold
+ etc.
+\begin_inset space \space{}
+\end_inset
 
-\backslash
-oint
-\series default
-, resp.\InsetSpace ~
 in the style the operator limits are displayed, see 
-\begin_inset LatexCommand ref
-reference "sub:Operator-Limits"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Operator-Limits"
 
 \end_inset
 
@@ -14295,7 +15542,7 @@ reference "sub:Operator-Limits"
 \end_layout
 
 \begin_layout Subsubsection*
-Advices for Integrals
+Advice for Integrals
 \end_layout
 
 \begin_layout Standard
 d
 \emph default
  and using the keyboard shortcut 
-\family sans
-Alt-c\InsetSpace ~
-r
-\family default
+\begin_inset Info
+type  "shortcut"
+arg   "font-roman"
+\end_inset
+
 
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Font styles
 \series bold
  
 \series default
 see 
-\begin_inset LatexCommand ref
-reference "sub:Font-Styles"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Font-Styles"
 
 \end_inset
 
@@ -14348,16 +15597,15 @@ incorrect:
 \end_inset
 
 
-\newline
-
-\begin_inset ERT
-status collapsed
+\begin_inset Newline newline
+\end_inset
 
-\begin_layout Standard
 
+\begin_inset Phantom HPhantom
+status open
 
-\backslash
-hphantom{in}
+\begin_layout Plain Layout
+in
 \end_layout
 
 \end_inset
@@ -14378,55 +15626,40 @@ For multiple integrals there are the following commands:
 \end_layout
 
 \begin_layout Standard
+\begin_inset space \hfill{}
+\end_inset
 
-\hfill
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row bottomspace="1mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 iint
@@ -14434,11 +15667,11 @@ iint
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{4.5mm}{}\iint\raisebox{-2.5mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $\iint$
 \end_inset
 
 
@@ -14447,11 +15680,11 @@ iint
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row bottomspace="1mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 oiint
@@ -14459,11 +15692,11 @@ oiint
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{4.5mm}{}\oiint\raisebox{-2.5mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $\oiint$
 \end_inset
 
 
@@ -14472,11 +15705,11 @@ oiint
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row bottomspace="1mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 sqiint
@@ -14484,11 +15717,11 @@ sqiint
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{4.5mm}{}\sqiint\raisebox{-2.5mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $\sqiint$
 \end_inset
 
 
@@ -14502,38 +15735,40 @@ sqiint
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
+
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row bottomspace="1mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 iiint
@@ -14541,11 +15776,11 @@ iiint
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{4.5mm}{}\iiint\raisebox{-2.5mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $\iiint$
 \end_inset
 
 
@@ -14554,11 +15789,11 @@ iiint
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row bottomspace="1mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 iiiint
@@ -14566,11 +15801,11 @@ iiiint
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{4.5mm}{}\iiiint\raisebox{-2.5mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $\iiiint$
 \end_inset
 
 
@@ -14579,11 +15814,11 @@ iiiint
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row bottomspace="1mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 dotsint
@@ -14591,11 +15826,11 @@ dotsint
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{4.5mm}{}\dotsint\raisebox{-2.5mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $\dotsint$
 \end_inset
 
 
@@ -14609,20 +15844,27 @@ dotsint
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
+
 
 \end_layout
 
 \begin_layout Subsection
 Operator Limits
-\begin_inset LatexCommand label
-name "sub:Operator-Limits"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Operator-Limits"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Operators ! Limits"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Operators ! Limits
+\end_layout
 
 \end_inset
 
@@ -14637,65 +15879,40 @@ Limits are created by super- and subscripts:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 prod^
 \backslash
 infty
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
@@ -14711,11 +15928,11 @@ A(x)
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{5mm}{}\prod_{0}^{\infty}A(x)\raisebox{-2.5mm}{}$
+\begin_layout Plain Layout
+\begin_inset Formula $\prod_{0}^{\infty}A(x)$
 \end_inset
 
 
@@ -14734,7 +15951,7 @@ A(x)
 \begin_layout Standard
 Limits of inline formulas are set right beside the operator.
  Limits in displayed formulas are set above or below the operator, except
of integral limits.
for integral limits.
 \end_layout
 
 \begin_layout Standard
@@ -14742,8 +15959,8 @@ To force that the limits are set beside the operator, the cursor is set
  directly behind the operator and the limits type is changed with the menu
  
 \family sans
-Edit\SpecialChar \menuseparator
-Math\SpecialChar \menuseparator
+Edit\SpecialChar menuseparator
+Math\SpecialChar menuseparator
 Change Limits Type
 \family default
  to 
@@ -14753,18 +15970,21 @@ Inline
 \family default
 \series default
  (shortcut 
-\family sans
-Alt-m\InsetSpace ~
-l
-\family default
+\begin_inset Info
+type  "shortcut"
+arg   "math-limits"
+\end_inset
+
 ).
  An example:
 \end_layout
 
 \begin_layout Standard
 The default limits type is this:
-\begin_inset Formula \[
-\sum_{x=0}^{\infty}\frac{1}{x^{2}}\]
+\begin_inset Formula 
+\[
+\sum_{x=0}^{\infty}\frac{1}{x^{2}}
+\]
 
 \end_inset
 
@@ -14775,32 +15995,40 @@ Inline
 \family default
 \series default
 :
-\begin_inset Formula \[
-\sum\nolimits _{x=0}^{\infty}\frac{1}{x^{2}}\]
+\begin_inset Formula 
+\[
+\sum\nolimits _{x=0}^{\infty}\frac{1}{x^{2}}
+\]
 
 \end_inset
 
-For integrals, except of 
+For integrals, except those ending with 
+\series bold
+op
+\series default
+ like 
 \series bold
 
 \backslash
 intop
 \series default
- and 
+, 
 \series bold
 
 \backslash
 ointop
 \series default
-, the limits are by default set beside the operator.
+ etc., the limits are by default set beside the operator.
  But for multiple integrals the limits are often set below the operator.
  In the following example the limits type was therefore set to 
 \series bold
 Display
 \series default
  and so set below the integrals:
-\begin_inset Formula \begin{equation}
-\iiint\limits _{V}X\,\mathrm{d}V=U\label{eq:VolInt}\end{equation}
+\begin_inset Formula 
+\begin{equation}
+\iiint\limits _{V}X\,\mathrm{d}V=U\label{eq:VolInt}
+\end{equation}
 
 \end_inset
 
@@ -14818,8 +16046,14 @@ To specify conditions for limits, the commands
 subarray
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! S ! \\textbackslash subarray"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! S ! 
+\backslash
+subarray
+\end_layout
 
 \end_inset
 
@@ -14830,17 +16064,27 @@ name "Commands ! S ! \\textbackslash subarray"
 substack
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! S ! \\textbackslash substack"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! S ! 
+\backslash
+substack
+\end_layout
 
 \end_inset
 
  are used.
  To create for example this expression 
-\begin_inset Formula \begin{equation}
+\begin_inset Formula 
+\begin{equation}
 \sum_{\begin{subarray}{c}
 0<k<1000\\
-\\k\,\in\,\mathbb{N}\end{subarray}}^{n}k^{-2}\label{eq:substack}\end{equation}
+\\
+k\,\in\,\mathbb{N}
+\end{subarray}}^{n}k^{-2}\label{eq:substack}
+\end{equation}
 
 \end_inset
 
@@ -14849,7 +16093,9 @@ name "Commands ! S ! \\textbackslash substack"
 
 \begin_layout Standard
 the following has to be done:
-\newline
+\begin_inset Newline newline
+\end_inset
+
 First the command 
 \series bold
 
@@ -14859,16 +16105,7 @@ sum
 ^
 \series bold
 n
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 _
 
 \backslash
 subarray
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
@@ -14898,16 +16126,22 @@ spce
  The blue box is now within a purple box and now several lines can be written
  among each other.
  A new line is created by inserting a line break (
-\family sans
-Ctrl-Return
-\family default
+\begin_inset Info
+type  "shortcut"
+arg   "newline-insert newline"
+\end_inset
+
 ).
  When now
-\newline
+\begin_inset Newline newline
+\end_inset
+
 
 \series bold
-0<k<1000 Ctrl-Return
-\newline
+0<k<1000 Ctrl+Return
+\begin_inset Newline newline
+\end_inset
+
 
 \series default
 is typed in, a new box appears below for the new line.
@@ -14924,7 +16158,7 @@ toolbar
 \family default
  or the menu 
 \family sans
-Edit\SpecialChar \menuseparator
+Edit\SpecialChar menuseparator
 Rows &Columns
 \family default
 .
@@ -14933,16 +16167,7 @@ Rows &Columns
 
 \backslash
 hfill
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
@@ -14971,71 +16196,86 @@ subarray
 \end_inset
 
 Like in formula 
-\begin_inset LatexCommand eqref
+\begin_inset CommandInset ref
+LatexCommand eqref
 reference "eq:substack"
 
 \end_inset
 
  there can be too much space beside an operator, because the characters
  following the operator are set beside the limits.
-\end_layout
+ To avoid this the command 
+\series bold
 
-\begin_layout Standard
-To avoid this, the following macro can be used in the LaTeX-preamble:
+\backslash
+smashoperator
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! S ! 
+\backslash
+smashoperator
 \end_layout
 
-\begin_layout Standard
+\end_inset
 
-\series bold
+ can be used.
+ To activate it, set in the document settings under 
+\family sans
+Math
+\begin_inset space ~
+\end_inset
 
-\backslash
-def
-\backslash
-clap#1{
-\backslash
-hbox to 0pt{
-\backslash
-hss #1
-\backslash
-hss}}
-\newline
+Options
+\family default
+ for the package 
+\series bold
+mathtools
+\series default
 
-\backslash
-def
-\backslash
-mathclap {
-\backslash
-mathpalette 
-\backslash
-mathclapinternal}
-\newline
+\begin_inset Index idx
+status collapsed
 
-\backslash
-def
-\backslash
-mathclapinternal #1#2{
-\backslash
-clap{$
-\backslash
-mathsurround =0pt #1{#2}$}}
+\begin_layout Plain Layout
+Packages ! mathtools
 \end_layout
 
-\begin_layout Standard
-This defines the command 
+\end_inset
+
+ the option 
+\family sans
+Load
+\begin_inset space ~
+\end_inset
+
+always
+\family default
+.
 \series bold
 
 \backslash
-mathclap
+smashoperator
 \series default
+ sets the space besides the operator to 0
+\begin_inset space \thinspace{}
+\end_inset
+
+pt.
+\begin_inset Newline newline
+\end_inset
 
-\begin_inset LatexCommand index
-name "Commands ! M ! \\textbackslash mathclap"
+Applied on formula 
+\begin_inset CommandInset ref
+LatexCommand eqref
+reference "eq:substack"
 
 \end_inset
 
- that sets the width of the limit to 0\InsetSpace \thinspace{}
-pt.
- The command scheme is
+, one uses the command
 \end_layout
 
 \begin_layout Standard
 \series bold
 
 \backslash
-mathclap{limit}
+smashoperator{
 \end_layout
 
 \begin_layout Standard
-where the limit can consist of several conditions.
-\end_layout
-
-\begin_layout Standard
-Applied on formula 
-\begin_inset LatexCommand eqref
-reference "eq:substack"
+and inserts the operator with its limits into the braces.
+ Behind the brace one continues the formula:
+\begin_inset Formula 
+\[
+\smashoperator{\sum_{\begin{subarray}{c}
+0<k<1000\\
+\\
+k\,\in\,\mathbb{N}
+\end{subarray}}^{n}}k^{-2}
+\]
 
 \end_inset
 
-, one uses the command
+
 \end_layout
 
 \begin_layout Standard
+It is possible to set the space of only one side of the operator to 0
+\begin_inset space \thinspace{}
+\end_inset
 
+pt.
+ To do this write either 
+\series bold
+[l]
+\series default
+ or 
+\series bold
+[r]
+\series default
+ between 
 \series bold
 
 \backslash
-sum_
-\backslash
-mathclap{
+smashoperator
+\series default
+ and its brace.
+\series bold
+l
+\series default
+ stands for the left and 
+\series bold
+r
+\series default
+ for the right side of the operator.
+ Here is an example of the possible 
+\series bold
+
 \backslash
-substack
-\begin_inset ERT
-status collapsed
+smashoperator
+\series default
+ forms:
+\end_layout
 
 \begin_layout Standard
+\begin_inset Formula 
+\[
+Y\smashoperator{\sum_{1\le i\le j\le n}^{n=3456}}X_{ij}=Y\smashoperator[l]{\sum_{1\le i\le j\le n}^{n=3456}}X_{ij}=Y\smashoperator[r]{\sum_{1\le i\le j\le n}^{n=3456}}X_{ij}
+\]
+
+\end_inset
 
 
-\backslash
-spce 
 \end_layout
 
+\begin_layout Standard
+\begin_inset VSpace bigskip
 \end_inset
 
-0<k<1000 Ctrl-Enter
+
 \end_layout
 
 \begin_layout Standard
-to create the lower limit.
- The summand is now directly behind the summation operator:
-\begin_inset Formula \[
-\sum_{\mathclap{\substack{0<k<1000\\
-\\k\,\in\,\mathbb{N}}
-}}^{n}k^{-2}\]
+When several consecutive operators have limits the typesetting of the limits
+ looks often imperfect in the output, see this example:
+\begin_inset Formula 
+\[
+\text{a)}\lim_{n\to\infty}\max_{p\ge n}\quad\text{b)}\lim_{n\to\infty}\max_{p^{2}\ge n}\quad\text{c)}\lim_{n\to\infty}\sup_{p^{2}\ge nK}\quad\text{d)}\limsup_{n\to\infty}\max_{p\ge n}
+\]
+
+\end_inset
 
+To improve the typesetting set in the document settings under 
+\family sans
+Math
+\begin_inset space ~
 \end_inset
 
+Options
+\family default
+ for the package 
+\series bold
+mathtools
+\series default
+
+\begin_inset Index idx
+status collapsed
 
+\begin_layout Plain Layout
+Packages ! mathtools
 \end_layout
 
-\begin_layout Standard
-\begin_inset VSpace bigskip
 \end_inset
 
-How to use one limit for several operators is described i
-\begin_inset LatexCommand ref
-reference "sub:Self-defined-Operators"
-
+ the optio
+\family sans
+Load
+\begin_inset space ~
 \end_inset
 
+always
+\family default
 .
-\end_layout
+ Then insert into your formula the command 
+\series bold
 
-\begin_layout Subsection
-Binary Operators
-\begin_inset LatexCommand label
-name "sub:Binary-Operators"
+\backslash
+adjustlimits
+\series default
 
-\end_inset
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! A ! 
+\backslash
+adjustlimits
+\end_layout
 
+\end_inset
 
-\begin_inset LatexCommand index
-name "Operators ! binary"
+ directly before the first operator.
+ The example will then look like this:
+\begin_inset Formula 
+\[
+\text{a)}\adjustlimits\lim_{n\to\infty}\max_{p\ge n}\quad\text{b)}\adjustlimits\lim_{n\to\infty}\max_{p^{2}\ge n}\quad\text{c)}\adjustlimits\lim_{n\to\infty}\sup_{p^{2}\ge nK}\quad\text{d)}\adjustlimits\limsup_{n\to\infty}\max_{p\ge n}
+\]
 
 \end_inset
 
@@ -15128,254 +16432,319 @@ name "Operators ! binary"
 \end_layout
 
 \begin_layout Standard
-Binary operators are surrounded by space when there is a character before
- and behind them.
-\begin_inset VSpace medskip
+\begin_inset VSpace bigskip
 \end_inset
 
+How to use one limit for several operators is described in 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Self-defined-Operators"
+
+\end_inset
 
+.
 \end_layout
 
-\begin_layout Standard
+\begin_layout Subsection
+Decoration for Operators
+\begin_inset Index idx
+status collapsed
 
-\hfill
+\begin_layout Plain Layout
+Operators ! Decoration
+\end_layout
 
-\begin_inset Tabular
-<lyxtabular version="3" rows="13" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
+\end_inset
 
-\begin_layout Standard
-Command
-\begin_inset Note Note
-status collapsed
 
-\begin_layout Standard
+\end_layout
 
+\begin_layout Standard
+With the commands 
 \series bold
 
 \backslash
-raisebox
+overset
 \series default
- is only used as spacer.
-\end_layout
-
-\end_inset
 
+\begin_inset Index idx
+status collapsed
 
+\begin_layout Plain Layout
+Commands ! O ! 
+\backslash
+overset
 \end_layout
 
 \end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
-Result
-\end_layout
+ and 
+\series bold
 
-\end_inset
-</cell>
-</row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
+\backslash
+underset
+\series default
 
-\begin_layout Standard
-+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! U ! 
+\backslash
+underset
 \end_layout
 
 \end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $+$
-\end_inset
+ characters can be placed above or below an operator, respectively.
+ With the command 
+\series bold
+
+\backslash
+sideset
+\series default
 
+\begin_inset Index idx
+status collapsed
 
+\begin_layout Plain Layout
+Commands ! S ! 
+\backslash
+sideset
 \end_layout
 
 \end_inset
-</cell>
-</row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
--
+ characters can be set before and behind a big operator.
 \end_layout
 
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-
 \begin_layout Standard
-\begin_inset Formula $-$
+There are 4
+\begin_inset space ~
 \end_inset
 
+variants of 
+\series bold
 
+\backslash
+sideset
+\series default
+:
 \end_layout
 
-\end_inset
-</cell>
-</row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
+\begin_layout Itemize
 
-\begin_layout Standard
+\series bold
 
 \backslash
-pm
+sideset
+\series default
+ is used to set characters at the corners of the operator
 \end_layout
 
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
+\begin_layout Itemize
 
-\begin_layout Standard
-\begin_inset Formula $\pm$
-\end_inset
+\series bold
 
+\backslash
+sidesetn
+\series default
+ is used to set characters before and/or behind the operator (this variant
+ represents \SpecialChar LaTeX
+'s original 
+\series bold
 
+\backslash
+sideset
+\series default
+ command)
 \end_layout
 
-\end_inset
-</cell>
-</row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
+\begin_layout Itemize
 
-\begin_layout Standard
+\series bold
 
 \backslash
-mp
+sidesetl
+\series default
+ is used to set characters at the left corners and/or behind the operator
 \end_layout
 
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Standard
-\begin_inset Formula $\mp$
-\end_inset
+\begin_layout Itemize
 
+\series bold
 
+\backslash
+sidesetr
+\series default
+ is used to set characters at the right corners and/or before the operator
 \end_layout
 
+\begin_layout Standard
+For example the command 
+\series bold
+
+\backslash
+sidesetn
+\begin_inset space \textvisiblespace{}
 \end_inset
-</cell>
-</row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
 
 \backslash
-cdot
-\end_layout
+sum
+\begin_inset space \textvisiblespace{}
+\end_inset
+
 
+\begin_inset Formula $\to$
 \end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\cdot$
+'
+\begin_inset Formula $\to$
 \end_inset
 
+_k=1
+\begin_inset space \textvisiblespace{}
+\end_inset
 
-\end_layout
+
+\series default
+^
+\series bold
+n
+\series default
+ produces:
+\begin_inset Formula 
+\[
+\sideset{}{'}\sum_{k=1}^{n}
+\]
 
 \end_inset
-</cell>
-</row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
+
+
+\end_layout
 
 \begin_layout Standard
+\begin_inset Note Greyedout
+status open
 
+\begin_layout Plain Layout
+
+\series bold
+Note: 
 \backslash
-times
+sideset
+\series default
+ can only be used to decorate big operators, binary operators are not allowed.
 \end_layout
 
 \end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
+
+
+\end_layout
 
 \begin_layout Standard
-\begin_inset Formula $\times$
-\end_inset
 
+\series bold
 
-\end_layout
+\backslash
+overset
+\series default
+ and 
+\series bold
+
+\backslash
+underset
+\series default
+ can also be used to decorate symbols and characters.
+ For example, the command 
+\series bold
 
+\backslash
+overset
+\begin_inset space \textvisiblespace{}
 \end_inset
-</cell>
-</row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
 
 \backslash
-div
-\end_layout
+maltese
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\series default
 
+\begin_inset Formula $\uparrow$
 \end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\div$
+
+\series bold
+a
+\series default
+ produces:
+\begin_inset Formula 
+\[
+\overset{a}{\maltese}
+\]
+
 \end_inset
 
 
 \end_layout
 
+\begin_layout Subsection
+Binary Operators
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Binary-Operators"
+
 \end_inset
-</cell>
-</row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
-\begin_inset ERT
+
+\begin_inset Index idx
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
+Operators ! binary
+\end_layout
+
+\end_inset
 
 
-\backslash
-raisebox{-1.2mm}{
 \end_layout
 
+\begin_layout Standard
+Binary operators are surrounded by space when there is a character before
+ and after them.
+\begin_inset VSpace medskip
 \end_inset
 
-*
-\begin_inset ERT
-status collapsed
+
+\end_layout
 
 \begin_layout Standard
+\begin_inset Tabular
+<lyxtabular version="3" rows="13" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
 
-}
+\begin_layout Plain Layout
+Command
+\begin_inset Note Note
+status collapsed
+
+\begin_layout Plain Layout
+
+\series bold
+
+\backslash
+raisebox
+\series default
+ is only used as spacer.
 \end_layout
 
 \end_inset
@@ -15385,36 +16754,31 @@ status collapsed
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $*$
-\end_inset
-
-
+\begin_layout Plain Layout
+Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-
-\backslash
-star
+\begin_layout Plain Layout
++
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\star$
+\begin_layout Plain Layout
+\begin_inset Formula $+$
 \end_inset
 
 
@@ -15423,23 +16787,21 @@ star
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-
-\backslash
-circ
+\begin_layout Plain Layout
+-
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\circ$
+\begin_layout Plain Layout
+\begin_inset Formula $-$
 \end_inset
 
 
@@ -15448,23 +16810,23 @@ circ
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-diamond
+pm
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\diamond$
+\begin_layout Plain Layout
+\begin_inset Formula $\pm$
 \end_inset
 
 
@@ -15473,23 +16835,23 @@ diamond
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-bullet
+mp
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\bullet$
+\begin_layout Plain Layout
+\begin_inset Formula $\mp$
 \end_inset
 
 
@@ -15498,55 +16860,48 @@ bullet
 \end_inset
 </cell>
 </row>
-</lyxtabular>
-
-\end_inset
-
-
-\hfill
-
-\begin_inset Tabular
-<lyxtabular version="3" rows="13" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Command
+\begin_layout Plain Layout
+
+\backslash
+cdot
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Result
+\begin_layout Plain Layout
+\begin_inset Formula $\cdot$
+\end_inset
+
+
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-nabla
+times
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\nabla$
+\begin_layout Plain Layout
+\begin_inset Formula $\times$
 \end_inset
 
 
@@ -15555,23 +16910,23 @@ nabla
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-bigtriangledown
+div
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\bigtriangledown$
+\begin_layout Plain Layout
+\begin_inset Formula $\div$
 \end_inset
 
 
@@ -15580,48 +16935,44 @@ bigtriangledown
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
 
 \backslash
-bigtriangleup
+raisebox{-1.2mm}{
 \end_layout
 
 \end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\bigtriangleup$
-\end_inset
+*
+\begin_inset ERT
+status collapsed
 
+\begin_layout Plain Layout
 
+}
 \end_layout
 
 \end_inset
-</cell>
-</row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
 
-\backslash
-Box
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\Box$
+\begin_layout Plain Layout
+\begin_inset Formula $*$
 \end_inset
 
 
@@ -15630,23 +16981,23 @@ Box
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-cap 
+star
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\cap$
+\begin_layout Plain Layout
+\begin_inset Formula $\star$
 \end_inset
 
 
@@ -15655,23 +17006,23 @@ cap
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-cup
+circ
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\cup$
+\begin_layout Plain Layout
+\begin_inset Formula $\circ$
 \end_inset
 
 
@@ -15680,23 +17031,23 @@ cup
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-dagger
+diamond
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\dagger$
+\begin_layout Plain Layout
+\begin_inset Formula $\diamond$
 \end_inset
 
 
@@ -15705,23 +17056,23 @@ dagger
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-ddagger
+bullet
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\ddagger$
+\begin_layout Plain Layout
+\begin_inset Formula $\bullet$
 \end_inset
 
 
@@ -15730,48 +17081,57 @@ ddagger
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
+</lyxtabular>
 
-\begin_layout Standard
+\end_inset
 
-\backslash
-wr
-\end_layout
 
+\begin_inset space \hfill{}
 \end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+
+
+\begin_inset Tabular
+<lyxtabular version="3" rows="13" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\wr$
-\end_inset
+\begin_layout Plain Layout
+Command
+\end_layout
 
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
+Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-bigcirc
+nabla
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\bigcirc$
+\begin_layout Plain Layout
+\begin_inset Formula $\nabla$
 \end_inset
 
 
@@ -15780,23 +17140,23 @@ bigcirc
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-wedge
+bigtriangledown
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\wedge$
+\begin_layout Plain Layout
+\begin_inset Formula $\bigtriangledown$
 \end_inset
 
 
@@ -15805,23 +17165,23 @@ wedge
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-vee
+bigtriangleup
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\vee$
+\begin_layout Plain Layout
+\begin_inset Formula $\bigtriangleup$
 \end_inset
 
 
@@ -15830,55 +17190,48 @@ vee
 \end_inset
 </cell>
 </row>
-</lyxtabular>
-
-\end_inset
-
-
-\hfill
-
-\begin_inset Tabular
-<lyxtabular version="3" rows="13" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Command
+\begin_layout Plain Layout
+
+\backslash
+Box
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Result
+\begin_layout Plain Layout
+\begin_inset Formula $\Box$
+\end_inset
+
+
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-oplus
+cap 
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\oplus$
+\begin_layout Plain Layout
+\begin_inset Formula $\cap$
 \end_inset
 
 
@@ -15887,23 +17240,23 @@ oplus
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-ominus
+cup
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\ominus$
+\begin_layout Plain Layout
+\begin_inset Formula $\cup$
 \end_inset
 
 
@@ -15912,23 +17265,23 @@ ominus
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-otimes
+dagger
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\otimes$
+\begin_layout Plain Layout
+\begin_inset Formula $\dagger$
 \end_inset
 
 
@@ -15937,23 +17290,23 @@ otimes
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-oslash
+ddagger
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\oslash$
+\begin_layout Plain Layout
+\begin_inset Formula $\ddagger$
 \end_inset
 
 
@@ -15962,23 +17315,23 @@ oslash
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-odot
+wr
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\odot$
+\begin_layout Plain Layout
+\begin_inset Formula $\wr$
 \end_inset
 
 
@@ -15987,23 +17340,23 @@ odot
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-amalg
+bigcirc
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\amalg$
+\begin_layout Plain Layout
+\begin_inset Formula $\bigcirc$
 \end_inset
 
 
@@ -16012,23 +17365,23 @@ amalg
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
-uplus
+wedge
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\uplus$
+\begin_layout Plain Layout
+\begin_inset Formula $\wedge$
 \end_inset
 
 
@@ -16037,11 +17390,245 @@ uplus
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
+
+\backslash
+vee
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\vee$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
+
+
+\begin_inset space \hfill{}
+\end_inset
+
+
+\begin_inset Tabular
+<lyxtabular version="3" rows="13" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Command
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Result
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+oplus
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\oplus$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+ominus
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\ominus$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+otimes
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\otimes$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+oslash
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\oslash$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+odot
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\odot$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+amalg
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\amalg$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+uplus
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\uplus$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
 
 \backslash
 setminus
@@ -16049,10 +17636,10 @@ setminus
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\setminus$
 \end_inset
 
@@ -16062,11 +17649,11 @@ setminus
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 sqcap
@@ -16074,10 +17661,10 @@ sqcap
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\sqcap$
 \end_inset
 
@@ -16087,11 +17674,11 @@ sqcap
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 sqcup
@@ -16099,10 +17686,10 @@ sqcup
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\sqcup$
 \end_inset
 
@@ -16112,11 +17699,11 @@ sqcup
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 triangleleft
@@ -16124,10 +17711,10 @@ triangleleft
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\triangleleft$
 \end_inset
 
@@ -16137,11 +17724,11 @@ triangleleft
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 triangleright
@@ -16149,10 +17736,10 @@ triangleright
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\triangleright$
 \end_inset
 
@@ -16167,16 +17754,13 @@ triangleright
 \end_inset
 
 
-\hfill
-
 \end_layout
 
 \begin_layout Standard
 All binary operators can also be inserted via the math toolbar button 
-\begin_inset Graphics
-       filename ../images/math/pm.png
-       scale 85
-
+\begin_inset Info
+type  "icon"
+arg   "math-insert \\pm"
 \end_inset
 
 .
@@ -16219,7 +17803,7 @@ Menu Separator
 \family default
  from the menu 
 \family sans
-Insert\SpecialChar \menuseparator
+Insert\SpecialChar menuseparator
 Special Character
 \family default
  is the operator 
@@ -16233,14 +17817,19 @@ triangleright
 
 \begin_layout Subsection
 Self-defined Operators
-\begin_inset LatexCommand label
-name "sub:Self-defined-Operators"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Self-defined-Operators"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Operators ! self-defined"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Operators ! self-defined
+\end_layout
 
 \end_inset
 
@@ -16255,12 +17844,21 @@ With the help of the command
 DeclareMathOperator
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! D ! \\textbackslash dbinom@\\textbackslash DeclareMathOperator"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! D ! 
+\backslash
+dbinom@
+\backslash
+DeclareMathOperator
+\end_layout
 
 \end_inset
 
- custom operators can be defined in the LaTeX-preamble.
+ custom operators can be defined in the \SpecialChar LaTeX
+-preamble.
  Its command scheme is:
 \end_layout
 
@@ -16277,8 +17875,9 @@ Display can be characters or symbols that define how the operator looks
  in the output.
  To define a big operator a * is set behind the command.
  All self-defined big operators can have limits as described in 
-\begin_inset LatexCommand ref
-reference "sub:Operator-Limits"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Operator-Limits"
 
 \end_inset
 
@@ -16286,7 +17885,8 @@ reference "sub:Operator-Limits"
 \end_layout
 
 \begin_layout Standard
-For example the LaTeX-preamble line
+For example the \SpecialChar LaTeX
+-preamble line
 \end_layout
 
 \begin_layout Standard
@@ -16309,14 +17909,17 @@ defines the command
 Lozenge
 \series default
 , that inserts a big operator consisting of the lozenge symbol from 
-\begin_inset LatexCommand ref
-reference "sub:Miscellaneous-Symbols"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Miscellaneous-Symbols"
 
 \end_inset
 
 :
-\begin_inset Formula \[
-\Lozenge_{n=1}^{\infty}\]
+\begin_inset Formula 
+\[
+\Lozenge_{n=1}^{\infty}
+\]
 
 \end_inset
 
@@ -16349,8 +17952,14 @@ When self-defined operators are not used several times in the document,
 mathop
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! M ! \\textbackslash mathop"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! M ! 
+\backslash
+mathop
+\end_layout
 
 \end_inset
 
@@ -16361,8 +17970,14 @@ name "Commands ! M ! \\textbackslash mathop"
 mathbin
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! M ! \\textbackslash mathbin"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! M ! 
+\backslash
+mathbin
+\end_layout
 
 \end_inset
 
@@ -16406,14 +18021,22 @@ mathbin
 \backslash
 mathop
 \series default
- can e.\InsetSpace \thinspace{}
-g.\InsetSpace ~
+ can e.
+\begin_inset space \thinspace{}
+\end_inset
+
+g.
+\begin_inset space \space{}
+\end_inset
+
 be used to use one limit for several operators:
 \end_layout
 
 \begin_layout Standard
-\begin_inset Formula \[
-\mathop{\sum\negmedspace\sum}_{i,j=1}^{N}\]
+\begin_inset Formula 
+\[
+\mathop{\sum\negmedspace\sum}_{i,j=1}^{N}
+\]
 
 \end_inset
 
@@ -16422,7 +18045,9 @@ be used to use one limit for several operators:
 
 \begin_layout Standard
 The command for the formula above is:
-\newline
+\begin_inset Newline newline
+\end_inset
+
 
 \series bold
 
@@ -16436,16 +18061,7 @@ negmedspace
 sum
 \series default
 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
@@ -16457,16 +18073,7 @@ spce
 ^N
 \series default
 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
@@ -16476,8 +18083,12 @@ _i,j=1
 
 \begin_layout Section
 Fonts
-\begin_inset LatexCommand index
-name "Fonts"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Fonts
+\end_layout
 
 \end_inset
 
@@ -16486,14 +18097,19 @@ name "Fonts"
 
 \begin_layout Subsection
 Font Styles
-\begin_inset LatexCommand label
-name "sub:Font-Styles"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Font-Styles"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Font ! style"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Font ! style
+\end_layout
 
 \end_inset
 
@@ -16502,69 +18118,56 @@ name "Font ! style"
 
 \begin_layout Standard
 Latin letters in formulas can be set in one of the following font styles:
-\begin_inset VSpace -2mm
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="6" columns="3">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-shortcut
+\begin_layout Plain Layout
+Shortcut
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 mathbb
 \series bold
 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
@@ -16574,10 +18177,10 @@ ABC
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\mathbb{ABC}$
 \end_inset
 
@@ -16586,36 +18189,27 @@ ABC
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Alt-z k
+\begin_layout Plain Layout
+-
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 mathbf
 \series bold
 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
@@ -16625,10 +18219,10 @@ AbC
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\mathbf{AbC}$
 \end_inset
 
@@ -16637,36 +18231,32 @@ AbC
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Alt-z f
+\begin_layout Plain Layout
+\begin_inset Info
+type  "shortcut"
+arg   "font-bold"
+\end_inset
+
+
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 boldsymbol
 \series bold
 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
@@ -16676,10 +18266,10 @@ AbC
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\boldsymbol{AbC}$
 \end_inset
 
@@ -16688,36 +18278,32 @@ AbC
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
--
+\begin_layout Plain Layout
+\begin_inset Info
+type  "shortcut"
+arg   "font-boldsymbol"
+\end_inset
+
+
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 mathcal
 \series bold
 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
@@ -16727,10 +18313,10 @@ ABC
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\mathcal{ABC}$
 \end_inset
 
@@ -16739,36 +18325,27 @@ ABC
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Alt-z h
+\begin_layout Plain Layout
+-
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 mathfrak
 \series bold
 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
@@ -16778,10 +18355,10 @@ AbC
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\mathfrak{AbC}$
 \end_inset
 
@@ -16790,10 +18367,10 @@ AbC
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 -
 \end_layout
 
@@ -16810,60 +18387,51 @@ AbC
 \begin_layout Standard
 \align center
 \begin_inset Tabular
-<lyxtabular version="3" rows="5" columns="3">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<lyxtabular version="3" rows="6" columns="3">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-shortcut
+\begin_layout Plain Layout
+Shortcut
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 mathit
 \series bold
 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
@@ -16873,10 +18441,10 @@ AbC
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\mathit{AbC}$
 \end_inset
 
@@ -16885,36 +18453,27 @@ AbC
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 -
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 mathrm
 \series bold
 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
@@ -16924,10 +18483,10 @@ AbC
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\mathrm{AbC}$
 \end_inset
 
@@ -16936,36 +18495,32 @@ AbC
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Alt-z r
+\begin_layout Plain Layout
+\begin_inset Info
+type  "shortcut"
+arg   "font-roman"
+\end_inset
+
+
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 mathsf
 \series bold
 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
@@ -16975,10 +18530,10 @@ AbC
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\mathsf{AbC}$
 \end_inset
 
@@ -16987,36 +18542,32 @@ AbC
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Alt-z s
+\begin_layout Plain Layout
+\begin_inset Info
+type  "shortcut"
+arg   "font-sans"
+\end_inset
+
+
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 mathtt
 \series bold
 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
@@ -17026,10 +18577,10 @@ AbC
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\mathtt{AbC}$
 \end_inset
 
@@ -17038,19 +18589,66 @@ AbC
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
--
+\begin_layout Plain Layout
+\begin_inset Info
+type  "shortcut"
+arg   "font-typewriter"
+\end_inset
+
+
 \end_layout
 
 \end_inset
 </cell>
 </row>
-</lyxtabular>
-
-\end_inset
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+mathscr
+\series bold
+
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\series default
+ABC
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\mathscr{ABC}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+-
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
 
 
 \end_layout
@@ -17059,7 +18657,7 @@ AbC
 \begin_inset Note Greyedout
 status open
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \series bold
 Note:
@@ -17070,11 +18668,17 @@ Note:
 \backslash
 mathbb
 \series default
- and 
+, 
 \series bold
 
 \backslash
 mathcal
+\series default
+ and 
+\series bold
+
+\backslash
+mathscr
 \series default
  can only be used for big letters.
 \end_layout
@@ -17096,8 +18700,10 @@ mathnormal
 
 \begin_layout Standard
 The style commands work also for letters in mathematical constructs:
-\begin_inset Formula \[
-\mathfrak{A=\frac{b}{C}}\]
+\begin_inset Formula 
+\[
+\mathfrak{A=\frac{b}{C}}
+\]
 
 \end_inset
 
@@ -17114,32 +18720,16 @@ textrm
 \series default
 .
  That their style can't be set correctly via the text style dialog is a
- bug in LyX.
+ bug in \SpecialChar LyX
+.
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-href{http://bugzilla.lyx.org/show_bug.cgi?id=4091}{
-\end_layout
-
-\end_inset
-
-LyX-bug #4091
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-}
-\end_layout
+\begin_layout Plain Layout
+\begin_inset CommandInset href
+LatexCommand href
+name "LyX-bug #4629"
+target "http://www.lyx.org/trac/ticket/4629"
 
 \end_inset
 
@@ -17154,15 +18744,14 @@ status collapsed
 \begin_layout Standard
 Instead of the style commands the dialog 
 \family sans
-Edit\SpecialChar \menuseparator
-Math\SpecialChar \menuseparator
+Edit\SpecialChar menuseparator
+Math\SpecialChar menuseparator
 Text Style
 \family default
  or the toolbar button 
-\begin_inset Graphics
-       filename ../images/math/font.png
-       scale 85
-
+\begin_inset Info
+type  "icon"
+arg   "math-insert \\font"
 \end_inset
 
  can be used.
@@ -17170,14 +18759,19 @@ Text Style
 
 \begin_layout Subsection
 Bold Formulas
-\begin_inset LatexCommand label
-name "sub:Bold-Formulas"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Bold-Formulas"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Formula ! bold"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Formula ! bold
+\end_layout
 
 \end_inset
 
@@ -17198,8 +18792,10 @@ mathbf
 \end_layout
 
 \begin_layout Standard
-\begin_inset Formula \[
-\mathbf{\int_{n}^{2}f(\theta)=\Gamma}\qquad\textrm{equation with \textbackslash mathbf}\]
+\begin_inset Formula 
+\[
+\mathbf{\int_{n}^{2}f(\theta)=\Gamma}\qquad\textrm{equation with \textbackslash mathbf}
+\]
 
 \end_inset
 
@@ -17214,8 +18810,10 @@ To display the formula correctly, the command
 boldsymbol
 \series default
  is used:
-\begin_inset Formula \[
-\boldsymbol{\int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{equation with \textbackslash boldsymbol}}\]
+\begin_inset Formula 
+\[
+\boldsymbol{\int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{equation with \textbackslash boldsymbol}}
+\]
 
 \end_inset
 
@@ -17229,31 +18827,45 @@ boldmath environment
 
 \backslash
 boldmath
-\begin_inset LatexCommand index
-name "Commands ! B ! \\textbackslash boldmath"
+\series default
 
-\end_inset
+\begin_inset Index idx
+status collapsed
 
+\begin_layout Plain Layout
+Commands ! B ! 
+\backslash
+boldmath
+\end_layout
 
-\series default
- in TeX-mode.
+\end_inset
+
+ in \SpecialChar TeX
+ mode.
  To end the environment, the command 
 \series bold
 
 \backslash
 unboldmath
-\begin_inset LatexCommand index
-name "Commands ! U ! \\textbackslash unboldmath"
+\series default
 
-\end_inset
+\begin_inset Index idx
+status collapsed
 
+\begin_layout Plain Layout
+Commands ! U ! 
+\backslash
+unboldmath
+\end_layout
 
-\series default
- is inserted in TeX-mode.
+\end_inset
+
+ is inserted in \SpecialChar TeX
+ mode.
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -17263,8 +18875,10 @@ boldmath
 \end_inset
 
 
-\begin_inset Formula \[
-\int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{equation in a boldmath environment}\]
+\begin_inset Formula 
+\[
+\int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{equation in a boldmath environment}
+\]
 
 \end_inset
 
@@ -17272,7 +18886,7 @@ boldmath
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -17282,18 +18896,156 @@ unboldmath
 \end_inset
 
 
+\end_layout
+
+\begin_layout Subsection
+Colored Formulas
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Formula ! colored
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Formulas can be colored like normal text: Highlight a formula or a formula
+ part and use the 
+\family sans
+Text Style
+\family default
+ dialog.
+ Here is a formula in magenta:
+\begin_inset Formula 
+\[
+{\color{magenta}\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+You can also define your own colors as described in 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Colored-Boxes"
+
+\end_inset
+
+.
+ They can be used with the \SpecialChar TeX
+ code command 
+\series bold
+
+\backslash
+textcolor
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! T ! 
+\backslash
+textcolor
+\end_layout
+
+\end_inset
+
+ in the scheme
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+textcolor{color}{characters or formula}
+\end_layout
+
+\begin_layout Standard
+The following example was colored completely dark green and partly red:
+\end_layout
+
+\begin_layout Standard
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+textcolor{darkgreen}{
+\end_layout
+
+\end_inset
+
+
+\begin_inset Formula 
+\[
+\int A\,\mathrm{d}x=\frac{{\color{red}\sqrt[5]{B}}}{\ln\left(\frac{1}{3}\right)}
+\]
+
+\end_inset
+
+
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+}
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Due to a bug in \SpecialChar LyX
+ only complete formulas can be colored with self-defined
+ colors.
+\begin_inset Foot
+status collapsed
+
+\begin_layout Plain Layout
+\begin_inset CommandInset href
+LatexCommand href
+name "LyX-bug #5269"
+target "http://www.lyx.org/trac/ticket/5269"
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
 \end_layout
 
 \begin_layout Subsection
 Font Sizes
-\begin_inset LatexCommand label
-name "sub:Font-Sizes"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Font-Sizes"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Font ! size"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Font ! size
+\end_layout
 
 \end_inset
 
@@ -17349,7 +19101,9 @@ normalsize
 small
 \series default
 ,
-\newline
+\begin_inset Newline newline
+\end_inset
+
 
 \series bold
 
@@ -17362,7 +19116,7 @@ footnotesize
 \backslash
 scriptsize
 \series default
-, and 
+ and 
 \series bold
 
 \backslash
@@ -17370,8 +19124,8 @@ tiny
 \end_layout
 
 \begin_layout Standard
-The size produced by the commands depends on the document font size, that
- corresponds with the command 
+The size produced by the commands depends on the document font size, which
+ corresponds to the command 
 \series bold
 
 \backslash
@@ -17386,7 +19140,10 @@ normalsize
 \series default
 .
  The font size can however not exceed a certain value.
- Is for example the document font size 12\InsetSpace \thinspace{}
+ Is for example the document font size 12
+\begin_inset space \thinspace{}
+\end_inset
+
 pt, the command 
 \series bold
 
@@ -17404,7 +19161,8 @@ huge
 \end_layout
 
 \begin_layout Standard
-A size command is inserted in TeX-mode before the formula and sets the size
+A size command is inserted in \SpecialChar TeX
+ mode before the formula and sets the size
  for all following formula and text characters.
  To switch back to the initial size, the command 
 \series bold
@@ -17412,208 +19170,310 @@ A size command is inserted in TeX-mode before the formula and sets the size
 \backslash
 normalsize
 \series default
- is inserted behind the formula in TeX-mode.
+ is inserted behind the formula in \SpecialChar TeX
+ mode.
 \end_layout
 
 \begin_layout Standard
-Within a formula the size can only be changed for symbols or letters in
- mathematical text.
- To do this, the size command is inserted in mathematical text.
- All following characters until the end of the mathematical text or until
- another size command will have the selected size.
- Two examples:
-\begin_inset VSpace -2mm
+Within a formula the size can be changed using the following size commands
+ or the toolbar button 
+\begin_inset Info
+type  "icon"
+arg   "math-insert \\style"
 \end_inset
 
-
+:
 \end_layout
 
 \begin_layout Standard
-\begin_inset ERT
-status collapsed
+\noindent
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="5" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
+Command
+\end_layout
 
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
 
-\backslash
-huge 
+\begin_layout Plain Layout
+Result
 \end_layout
 
 \end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
+
+\backslash
+displaystyle
+\begin_inset Index idx
+status collapsed
 
-\begin_inset Formula \[
-A=\frac{B}{c}\cdot\maltese\]
+\begin_layout Plain Layout
+Commands ! D ! 
+\backslash
+displaystyle
+\end_layout
 
 \end_inset
 
 
-\begin_inset Formula \[
-\maltese A\textrm{\Large\maltese\textit{A}}\textrm{\tiny\maltese\textit{A}}\]
+\end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
 
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
+\begin_layout Plain Layout
+\begin_inset Formula ${\displaystyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}$
+\end_inset
 
 
-\backslash
-normalsize 
 \end_layout
 
 \end_inset
+</cell>
+</row>
+<row topspace="1mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
 
+\backslash
+textstyle
 \end_layout
 
-\begin_layout Standard
-\begin_inset VSpace medskip
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
 
-Before both formulas the command 
-\series bold
-
-\backslash
-huge
-\series default
- was inserted.
- The command for the second formula is:
-\newline
+\begin_layout Plain Layout
+\begin_inset Formula ${\textstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}$
+\end_inset
 
-\series bold
 
-\backslash
-maltese
-\begin_inset ERT
-status collapsed
+\end_layout
 
-\begin_layout Standard
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
 
 \backslash
-spce 
+scriptstyle
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
 
-A Alt-m m 
-\backslash
-Large
-\begin_inset ERT
-status collapsed
+\begin_layout Plain Layout
+\begin_inset Formula ${\scriptstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}$
+\end_inset
 
-\begin_layout Standard
 
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
 
 \backslash
-spce 
+scriptscriptstyle
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
+\begin_inset Formula ${\scriptscriptstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}$
+\end_inset
 
-\backslash
-maltese
-\begin_inset ERT
-status collapsed
 
-\begin_layout Standard
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
 
 
-\backslash
-spce 
 \end_layout
 
+\begin_layout Standard
+After entering these commands, a blue box appears in which the formula parts
+ are inserted.
+\end_layout
+
+\begin_layout Standard
+There is a further method to change the font size, that though only works
+ for symbols or letters in mathematical text.
+ To use it, one of the above text size commands is inserted in mathematical
+ text.
+ All following characters until the end of the mathematical text or until
+ another size command will have the selected size.
+ Two examples:
+\begin_inset VSpace -2mm
 \end_inset
 
 
-\backslash
-textit
+\end_layout
+
+\begin_layout Standard
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
-spc
+hug
 \end_layout
 
 \end_inset
 
-A
-\begin_inset Formula $\to$
-\end_inset
 
+\begin_inset Formula 
+\[
+A=\frac{B}{c}\cdot\maltese
+\]
 
-\begin_inset Formula $\to$
 \end_inset
 
 
-\newline
+\begin_inset Formula 
+\[
+\maltese A\textrm{\Large\maltese\textit{A}}\textrm{\tiny\maltese\textit{A}}
+\]
+
+\end_inset
+
 
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
-hspace*{1cm}
+normalsize 
 \end_layout
 
 \end_inset
 
-Alt-m
-\series default
-\series bold
-m 
-\backslash
-tiny
-\begin_inset ERT
-status collapsed
+
+\end_layout
 
 \begin_layout Standard
+\begin_inset VSpace medskip
+\end_inset
 
+Before both formulas the command 
+\series bold
 
 \backslash
-spce 
-\end_layout
-
+huge
+\series default
+ was inserted.
+ The command for the second formula is:
+\begin_inset Newline newline
 \end_inset
 
 
+\series bold
+
 \backslash
 maltese
-\begin_inset ERT
-status collapsed
+\begin_inset space \textvisiblespace{}
+\end_inset
 
-\begin_layout Standard
+A Alt+M M 
+\backslash
+Large
+\begin_inset space \textvisiblespace{}
+\end_inset
 
 
 \backslash
-spce 
-\end_layout
-
+maltese
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
 \backslash
 textit
-\begin_inset ERT
-status collapsed
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A
+\begin_inset Formula $\to$
+\end_inset
+
+
+\begin_inset Formula $\to$
+\end_inset
 
-\begin_layout Standard
 
+\begin_inset Newline newline
+\end_inset
+
+
+\begin_inset space \hspace*{}
+\length 1cm
+\end_inset
 
+Alt+M
+\series default
+\series bold
+M 
 \backslash
-spce 
-\end_layout
+tiny
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\backslash
+maltese
+\begin_inset space \textvisiblespace{}
+\end_inset
+
 
+\backslash
+textit
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 A
@@ -17626,8 +19486,12 @@ If a symbol cannot be displayed in different sizes, it will always be displayed
 
 \begin_layout Section
 Greek Letters
-\begin_inset LatexCommand index
-name "Greek letters"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Greek letters
+\end_layout
 
 \end_inset
 
@@ -17635,26 +19499,27 @@ name "Greek letters"
 \end_layout
 
 \begin_layout Standard
-All Greek letters can also be inserted via the toolbar button 
-\begin_inset Graphics
-       filename ../images/math/alpha.png
-       scale 85
-
+Greek letters can also be inserted via the toolbar button 
+\begin_inset Info
+type  "icon"
+arg   "math-insert \\alpha"
 \end_inset
 
 .
+ All international typesetting norms purport that Greek letters in math
+ have to be typeset italic/slanted.
+ In some languages, like French or Russian, they are nevertheless sometimes
+ typeset upright.
 \end_layout
 
 \begin_layout Subsection
 Small Letters
-\begin_inset LatexCommand label
-name "sub:Small-Letters"
-
-\end_inset
-
+\begin_inset Index idx
+status collapsed
 
-\begin_inset LatexCommand index
-name "Greek letters ! small"
+\begin_layout Plain Layout
+Greek letters ! small
+\end_layout
 
 \end_inset
 
@@ -17662,39 +19527,40 @@ name "Greek letters ! small"
 \end_layout
 
 \begin_layout Standard
+\begin_inset space \hfill{}
+\end_inset
 
-\hfill
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="11" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 alpha
@@ -17702,10 +19568,10 @@ alpha
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\alpha$
 \end_inset
 
@@ -17715,11 +19581,11 @@ alpha
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 beta
@@ -17727,10 +19593,10 @@ beta
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\beta$
 \end_inset
 
@@ -17740,11 +19606,11 @@ beta
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 gamma
@@ -17752,10 +19618,10 @@ gamma
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\gamma$
 \end_inset
 
@@ -17765,11 +19631,11 @@ gamma
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 delta
@@ -17777,10 +19643,10 @@ delta
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\delta$
 \end_inset
 
@@ -17790,11 +19656,11 @@ delta
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 epsilon
@@ -17802,10 +19668,10 @@ epsilon
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\epsilon$
 \end_inset
 
@@ -17815,11 +19681,11 @@ epsilon
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 varepsilon
@@ -17827,10 +19693,10 @@ varepsilon
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\varepsilon$
 \end_inset
 
@@ -17840,11 +19706,11 @@ varepsilon
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 zeta
@@ -17852,10 +19718,10 @@ zeta
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\zeta$
 \end_inset
 
@@ -17865,11 +19731,11 @@ zeta
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 eta
@@ -17877,10 +19743,10 @@ eta
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\eta$
 \end_inset
 
@@ -17890,11 +19756,11 @@ eta
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 theta
@@ -17902,10 +19768,10 @@ theta
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\theta$
 \end_inset
 
@@ -17915,11 +19781,11 @@ theta
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 vartheta
@@ -17927,10 +19793,10 @@ vartheta
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\vartheta$
 \end_inset
 
@@ -17945,38 +19811,40 @@ vartheta
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
+
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="12" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 iota
@@ -17984,10 +19852,10 @@ iota
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\iota$
 \end_inset
 
@@ -17997,11 +19865,11 @@ iota
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
+\begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 kappa
@@ -18009,10 +19877,10 @@ kappa
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\kappa$
 \end_inset
 
@@ -18022,11 +19890,11 @@ kappa
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 varkappa
@@ -18034,10 +19902,10 @@ varkappa
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\varkappa$
 \end_inset
 
@@ -18047,11 +19915,11 @@ varkappa
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 lambda
@@ -18059,10 +19927,10 @@ lambda
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\lambda$
 \end_inset
 
@@ -18072,11 +19940,11 @@ lambda
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 mu
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\mu$
 \end_inset
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 nu
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\nu$
 \end_inset
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 xi
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\xi$
 \end_inset
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 o
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $o$
 \end_inset
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 pi
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\pi$
 \end_inset
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 varpi
@@ -18207,10 +20075,10 @@ varpi
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\varpi$
 \end_inset
 
@@ -18220,11 +20088,11 @@ varpi
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 rho
@@ -18232,10 +20100,10 @@ rho
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\rho$
 \end_inset
 
@@ -18250,38 +20118,40 @@ rho
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
+
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="11" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 varrho
@@ -18289,10 +20159,10 @@ varrho
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\varrho$
 \end_inset
 
@@ -18302,11 +20172,11 @@ varrho
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 sigma
@@ -18314,10 +20184,10 @@ sigma
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\sigma$
 \end_inset
 
@@ -18327,11 +20197,11 @@ sigma
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 varsigma
@@ -18339,10 +20209,10 @@ varsigma
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\varsigma$
 \end_inset
 
@@ -18352,11 +20222,11 @@ varsigma
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 tau
@@ -18364,10 +20234,10 @@ tau
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\tau$
 \end_inset
 
@@ -18377,11 +20247,11 @@ tau
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 upsilon
@@ -18389,10 +20259,10 @@ upsilon
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\upsilon$
 \end_inset
 
@@ -18402,11 +20272,11 @@ upsilon
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 phi
@@ -18414,10 +20284,10 @@ phi
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\phi$
 \end_inset
 
@@ -18427,11 +20297,11 @@ phi
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 varphi
@@ -18439,10 +20309,10 @@ varphi
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\varphi$
 \end_inset
 
@@ -18452,11 +20322,11 @@ varphi
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 chi
@@ -18464,10 +20334,10 @@ chi
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\chi$
 \end_inset
 
@@ -18477,11 +20347,11 @@ chi
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 psi
@@ -18489,10 +20359,10 @@ psi
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\psi$
 \end_inset
 
@@ -18502,11 +20372,11 @@ psi
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 omega
@@ -18514,10 +20384,10 @@ omega
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\omega$
 \end_inset
 
@@ -18532,7 +20402,9 @@ omega
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
+
 
 \end_layout
 
@@ -18544,9 +20416,10 @@ omega
 \end_layout
 
 \begin_layout Standard
-How to create upright Greek letters is explained in 
-\begin_inset LatexCommand ref
-reference "sub:Upright-small-Greek"
+How to create special upright Greek letters is explained in 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Upright-small-Greek"
 
 \end_inset
 
@@ -18555,8 +20428,12 @@ reference "sub:Upright-small-Greek"
 
 \begin_layout Subsection
 Big Letters
-\begin_inset LatexCommand index
-name "Greek letters ! big"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Greek letters ! big
+\end_layout
 
 \end_inset
 
@@ -18564,39 +20441,40 @@ name "Greek letters ! big"
 \end_layout
 
 \begin_layout Standard
+\begin_inset space \hfill{}
+\end_inset
 
-\hfill
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="7" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Gamma
@@ -18604,10 +20482,10 @@ Gamma
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\Gamma$
 \end_inset
 
@@ -18617,11 +20495,11 @@ Gamma
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Delta
@@ -18629,10 +20507,10 @@ Delta
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\Delta$
 \end_inset
 
@@ -18642,11 +20520,11 @@ Delta
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Theta
@@ -18654,10 +20532,10 @@ Theta
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\Theta$
 \end_inset
 
@@ -18667,11 +20545,11 @@ Theta
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Lambda
@@ -18679,10 +20557,10 @@ Lambda
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\Lambda$
 \end_inset
 
@@ -18692,11 +20570,11 @@ Lambda
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Xi
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\Xi$
 \end_inset
 
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Pi
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\Pi$
 \end_inset
 
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
+
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="6" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Sigma
@@ -18786,10 +20666,10 @@ Sigma
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\Sigma$
 \end_inset
 
@@ -18799,11 +20679,11 @@ Sigma
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Upsilon
@@ -18811,10 +20691,10 @@ Upsilon
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\Upsilon$
 \end_inset
 
@@ -18824,11 +20704,11 @@ Upsilon
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Phi
@@ -18836,10 +20716,10 @@ Phi
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\Phi$
 \end_inset
 
@@ -18849,11 +20729,11 @@ Phi
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Psi
@@ -18861,10 +20741,10 @@ Psi
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\Psi$
 \end_inset
 
@@ -18874,11 +20754,11 @@ Psi
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Omega
@@ -18886,10 +20766,10 @@ Omega
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\Omega$
 \end_inset
 
@@ -18904,7 +20784,9 @@ Omega
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
+
 
 \end_layout
 
@@ -18913,7 +20795,8 @@ Omega
 \end_inset
 
 That the big Greek letters appear upright is caused by a design bug when
- TeX was developed.
+ \SpecialChar TeX
+ was developed.
  To get correct italic big letters, begin every command with 
 \series bold
 var
@@ -18925,17 +20808,91 @@ var
 \backslash
 varGamma
 \series default
- produces: 
+ produces 
 \begin_inset Formula $\varGamma$
 \end_inset
 
+.
+ Another way is to load the package 
+\series bold
+fixmath
+\series default
+
+\begin_inset Foot
+status collapsed
+
+\begin_layout Plain Layout
+
+\series bold
+fixmath
+\series default
+ is part of the \SpecialChar LaTeX
+-package 
+\series bold
+was
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Packages ! was
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+vspace{4mm}
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+.
+\end_layout
+
+\end_inset
+
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Packages ! fixmath
+\end_layout
+
+\end_inset
+
+ with the \SpecialChar LaTeX
+-preamble line
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+usepackage{fixmath}
+\end_layout
 
+\begin_layout Standard
+Then all big Greek letters in a document will automatically be typeset italic.
 \end_layout
 
 \begin_layout Subsection
 Bold Letters
-\begin_inset LatexCommand index
-name "Greek letters ! bold"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Greek letters ! bold
+\end_layout
 
 \end_inset
 
@@ -18951,8 +20908,14 @@ Greek letters cannot be set with different font styles like Latin letters.
 boldsymbol
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! B ! \\textbackslash boldsymbol"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! B ! 
+\backslash
+boldsymbol
+\end_layout
 
 \end_inset
 
@@ -18963,34 +20926,34 @@ name "Commands ! B ! \\textbackslash boldsymbol"
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Upsilon
@@ -19002,10 +20965,10 @@ Upsilon
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\Upsilon\boldsymbol{\Upsilon}$
 \end_inset
 
@@ -19015,11 +20978,11 @@ Upsilon
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 theta
@@ -19031,10 +20994,10 @@ theta
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\theta\boldsymbol{\theta}$
 \end_inset
 
@@ -19056,7 +21019,7 @@ Symbols
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -19069,10 +21032,12 @@ texorpdfstring{
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
-A list with all symbols of most of the LaTeX-packages can be found in 
-\begin_inset LatexCommand cite
-key "Symbole"
+\begin_layout Plain Layout
+A list with all symbols of most of the \SpecialChar LaTeX
+-packages can be found in 
+\begin_inset CommandInset citation
+LatexCommand cite
+key "Symbols"
 
 \end_inset
 
@@ -19085,7 +21050,7 @@ key "Symbole"
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 }{}
 \end_layout
@@ -19096,18 +21061,19 @@ status collapsed
 \begin_inset Note Note
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 texorpdfstring is used to avoid that the footnote appears in the PDF-bookmark.
 \end_layout
 
-\begin_layout Standard
+\begin_layout Plain Layout
 More about 
 \backslash
 texorpdfstring is in section 
-\begin_inset LatexCommand ref
-reference "sub:Formulas-in-Section"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Formulas-in-Section"
 
 \end_inset
 
@@ -19117,8 +21083,12 @@ reference "sub:Formulas-in-Section"
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Symbols"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Symbols
+\end_layout
 
 \end_inset
 
@@ -19128,17 +21098,15 @@ name "Symbols"
 \begin_layout Standard
 Many of the symbols listed in this section can also be inserted via the
  toolbar buttons 
-\begin_inset Graphics
-       filename ../images/math/nabla.png
-       scale 85
-
+\begin_inset Info
+type  "icon"
+arg   "math-insert \\nabla"
 \end_inset
 
  and 
-\begin_inset Graphics
-       filename ../images/math/digamma.png
-       scale 85
-
+\begin_inset Info
+type  "icon"
+arg   "math-insert \\digamma"
 \end_inset
 
 .
@@ -19146,14 +21114,19 @@ Many of the symbols listed in this section can also be inserted via the
 
 \begin_layout Subsection
 Mathematical Symbols
-\begin_inset LatexCommand label
-name "sub:Mathematical-Symbols"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Mathematical-Symbols"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Symbols ! mathematical"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Symbols ! mathematical
+\end_layout
 
 \end_inset
 
@@ -19161,39 +21134,36 @@ name "Symbols ! mathematical"
 \end_layout
 
 \begin_layout Standard
-
-\hfill
-
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Result
+\begin_layout Plain Layout
+Symbol
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 neg
@@ -19201,10 +21171,10 @@ neg
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\neg$
 \end_inset
 
@@ -19214,11 +21184,11 @@ neg
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Im
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\Im$
 \end_inset
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Re
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\Re$
 \end_inset
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 aleph
@@ -19276,10 +21246,10 @@ aleph
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\aleph$
 \end_inset
 
@@ -19289,11 +21259,11 @@ aleph
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 partial
@@ -19301,10 +21271,10 @@ partial
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\partial$
 \end_inset
 
@@ -19314,11 +21284,11 @@ partial
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 infty
@@ -19326,10 +21296,10 @@ infty
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\infty$
 \end_inset
 
@@ -19339,11 +21309,11 @@ infty
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 wp
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\wp$
 \end_inset
 
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 imath
@@ -19376,10 +21346,10 @@ imath
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\imath$
 \end_inset
 
@@ -19389,11 +21359,11 @@ imath
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 jmath
@@ -19401,10 +21371,10 @@ jmath
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\jmath$
 \end_inset
 
@@ -19419,32 +21389,34 @@ jmath
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
+
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Result
+\begin_layout Plain Layout
+Symbol
 \begin_inset Note Note
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \series bold
 
@@ -19462,11 +21434,11 @@ raisebox
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 forall
@@ -19474,10 +21446,10 @@ forall
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\forall$
 \end_inset
 
@@ -19487,11 +21459,11 @@ forall
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 exists
@@ -19499,10 +21471,10 @@ exists
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\exists$
 \end_inset
 
@@ -19512,11 +21484,11 @@ exists
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 nexists
@@ -19524,10 +21496,10 @@ nexists
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\nexists$
 \end_inset
 
@@ -19537,11 +21509,11 @@ nexists
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 emptyset
@@ -19549,10 +21521,10 @@ emptyset
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\emptyset$
 \end_inset
 
@@ -19562,11 +21534,11 @@ emptyset
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 varnothing
@@ -19574,10 +21546,10 @@ varnothing
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\varnothing$
 \end_inset
 
@@ -19587,11 +21559,11 @@ varnothing
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 dag
@@ -19599,10 +21571,10 @@ dag
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\dag$
 \end_inset
 
@@ -19612,11 +21584,11 @@ dag
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 ddag
@@ -19624,10 +21596,10 @@ ddag
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\ddag$
 \end_inset
 
@@ -19637,11 +21609,11 @@ ddag
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 complement
@@ -19649,14 +21621,14 @@ complement
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -19673,7 +21645,7 @@ raisebox{-0.8mm}{
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 }
 \end_layout
@@ -19686,11 +21658,11 @@ status collapsed
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Bbbk
@@ -19698,10 +21670,10 @@ Bbbk
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\Bbbk$
 \end_inset
 
@@ -19716,38 +21688,40 @@ Bbbk
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
+
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Result
+\begin_layout Plain Layout
+Symbol
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 prime
@@ -19755,10 +21729,10 @@ prime
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\prime$
 \end_inset
 
@@ -19768,11 +21742,11 @@ prime
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 backprime
@@ -19780,10 +21754,10 @@ backprime
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\backprime$
 \end_inset
 
@@ -19793,11 +21767,11 @@ backprime
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 mho
@@ -19805,10 +21779,10 @@ mho
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\mho$
 \end_inset
 
@@ -19818,11 +21792,11 @@ mho
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 triangle
@@ -19830,10 +21804,10 @@ triangle
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\triangle$
 \end_inset
 
@@ -19843,11 +21817,11 @@ triangle
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 angle
@@ -19855,10 +21829,10 @@ angle
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\angle$
 \end_inset
 
@@ -19868,11 +21842,11 @@ angle
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 measuredangle
@@ -19880,10 +21854,10 @@ measuredangle
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\measuredangle$
 \end_inset
 
@@ -19893,11 +21867,11 @@ measuredangle
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 sphericalangle
@@ -19905,10 +21879,10 @@ sphericalangle
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\sphericalangle$
 \end_inset
 
@@ -19918,11 +21892,11 @@ sphericalangle
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 top
@@ -19930,10 +21904,10 @@ top
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\top$
 \end_inset
 
@@ -19943,11 +21917,11 @@ top
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 bot
@@ -19955,10 +21929,10 @@ bot
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\bot$
 \end_inset
 
@@ -19973,26 +21947,23 @@ bot
 \end_inset
 
 
-\hfill
-
-\end_layout
-
-\begin_layout Standard
-
-\newpage
-
 \end_layout
 
 \begin_layout Subsection
 Miscellaneous Symbols
-\begin_inset LatexCommand label
-name "sub:Miscellaneous-Symbols"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Miscellaneous-Symbols"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Symbols ! miscellaneous"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Symbols ! miscellaneous
+\end_layout
 
 \end_inset
 
@@ -20000,36 +21971,38 @@ name "Symbols ! miscellaneous"
 \end_layout
 
 \begin_layout Standard
+\noindent
+\align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Result
+\begin_layout Plain Layout
+Symbol
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 flat
@@ -20037,10 +22010,10 @@ flat
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\flat$
 \end_inset
 
@@ -20050,11 +22023,11 @@ flat
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 natural
@@ -20062,10 +22035,10 @@ natural
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\natural$
 \end_inset
 
@@ -20075,11 +22048,11 @@ natural
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 sharp
@@ -20087,10 +22060,10 @@ sharp
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\sharp$
 \end_inset
 
@@ -20100,11 +22073,11 @@ sharp
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 surd
@@ -20112,10 +22085,10 @@ surd
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\surd$
 \end_inset
 
@@ -20125,11 +22098,11 @@ surd
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 checkmark
@@ -20137,10 +22110,10 @@ checkmark
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\checkmark$
 \end_inset
 
@@ -20150,11 +22123,11 @@ checkmark
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 yen
@@ -20162,10 +22135,10 @@ yen
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\yen$
 \end_inset
 
@@ -20175,11 +22148,11 @@ yen
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 pounds
@@ -20187,10 +22160,10 @@ pounds
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\pounds$
 \end_inset
 
@@ -20200,20 +22173,20 @@ pounds
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 $
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\$$
 \end_inset
 
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 §
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $§$
 \end_inset
 
 \end_inset
 
 
+\begin_inset space \hfill{}
+\end_inset
+
+
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Result
+\begin_layout Plain Layout
+Symbol
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 hbar
@@ -20288,10 +22265,10 @@ hbar
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\hbar$
 \end_inset
 
@@ -20301,11 +22278,11 @@ hbar
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 hslash
@@ -20313,10 +22290,10 @@ hslash
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\hslash$
 \end_inset
 
@@ -20326,11 +22303,11 @@ hslash
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 clubsuit
@@ -20338,10 +22315,10 @@ clubsuit
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\clubsuit$
 \end_inset
 
@@ -20351,11 +22328,11 @@ clubsuit
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 spadesuit
@@ -20363,10 +22340,10 @@ spadesuit
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\spadesuit$
 \end_inset
 
@@ -20376,11 +22353,11 @@ spadesuit
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 bigstar
@@ -20388,10 +22365,10 @@ bigstar
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\bigstar$
 \end_inset
 
@@ -20401,11 +22378,11 @@ bigstar
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 blacklozenge
@@ -20413,10 +22390,10 @@ blacklozenge
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\blacklozenge$
 \end_inset
 
@@ -20426,11 +22403,11 @@ blacklozenge
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 blacktriangle
@@ -20438,10 +22415,10 @@ blacktriangle
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\blacktriangle$
 \end_inset
 
@@ -20451,11 +22428,11 @@ blacktriangle
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 blacktiangledown
@@ -20463,10 +22440,10 @@ blacktiangledown
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\blacktriangledown$
 \end_inset
 
@@ -20476,11 +22453,11 @@ blacktiangledown
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 bullet
@@ -20488,10 +22465,10 @@ bullet
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\bullet$
 \end_inset
 
@@ -20506,36 +22483,40 @@ bullet
 \end_inset
 
 
+\begin_inset space \hfill{}
+\end_inset
+
+
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Result
+\begin_layout Plain Layout
+Symbol
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 diamondsuit
@@ -20543,10 +22524,10 @@ diamondsuit
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\diamondsuit$
 \end_inset
 
@@ -20556,11 +22537,11 @@ diamondsuit
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Diamond
@@ -20568,10 +22549,10 @@ Diamond
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\Diamond$
 \end_inset
 
@@ -20581,11 +22562,11 @@ Diamond
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 heartsuit
@@ -20593,10 +22574,10 @@ heartsuit
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\heartsuit$
 \end_inset
 
@@ -20606,11 +22587,11 @@ heartsuit
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 P
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\P$
 \end_inset
 
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 copyright
@@ -20643,10 +22624,10 @@ copyright
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\copyright$
 \end_inset
 
@@ -20656,11 +22637,11 @@ copyright
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 circledR
@@ -20668,10 +22649,10 @@ circledR
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\circledR$
 \end_inset
 
@@ -20681,11 +22662,11 @@ circledR
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 maltese
@@ -20693,10 +22674,10 @@ maltese
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\maltese$
 \end_inset
 
@@ -20706,11 +22687,11 @@ maltese
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 diagup
@@ -20718,10 +22699,10 @@ diagup
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\diagup$
 \end_inset
 
@@ -20731,11 +22712,11 @@ diagup
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 diagdown
@@ -20743,10 +22724,10 @@ diagdown
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\diagdown$
 \end_inset
 
@@ -20767,19 +22748,14 @@ diagdown
 \begin_inset VSpace medskip
 \end_inset
 
-More symbols are listed in 
-\begin_inset LatexCommand ref
-reference "sub:Miscellaneous-Special-Characters"
-
-\end_inset
 
-.
 \end_layout
 
 \begin_layout Standard
 Some symbols can be displayed in different sizes, see 
-\begin_inset LatexCommand ref
-reference "sub:Font-Sizes"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Font-Sizes"
 
 \end_inset
 
@@ -20788,14 +22764,37 @@ reference "sub:Font-Sizes"
 
 \begin_layout Subsection
 The Euro-Symbol €
-\begin_inset LatexCommand index
-name "Symbols ! Euro-symbol"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Symbols ! Euro-symbol
+\end_layout
+
+\end_inset
+
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+
+\backslash
+@
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+officialeuro
+\end_layout
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "\\textcent@\\officialeuro"
+\end_layout
 
 \end_inset
 
@@ -20803,17 +22802,23 @@ name "\\textcent@\\officialeuro"
 \end_layout
 
 \begin_layout Standard
-To use the Euro symbol in formulas, the LaTeX-package 
+To use the Euro symbol in formulas, the \SpecialChar LaTeX
+-package 
 \series bold
 eurosym
 \series default
 
-\begin_inset LatexCommand index
-name "Packages ! eurosym"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Packages ! eurosym
+\end_layout
 
 \end_inset
 
- must be installed and loaded with the LaTeX-preamble line
+ must be installed and loaded with the \SpecialChar LaTeX
+-preamble line
 \end_layout
 
 \begin_layout Standard
@@ -20832,8 +22837,14 @@ The Euro symbol can now be inserted with the command
 euro
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! E ! \\textbackslash euro"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! E ! 
+\backslash
+euro
+\end_layout
 
 \end_inset
 
@@ -20857,7 +22868,8 @@ eurosym
 \backslash
 euro
 \series default
- can also be inserted in TeX-mode.
+ can also be inserted in \SpecialChar TeX
+ mode.
  The official currency symbol can then be inserted with the command 
 \series bold
 
@@ -20865,19 +22877,26 @@ euro
 officialeuro
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! O ! \\textbackslash officialeuro"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! O ! 
+\backslash
+officialeuro
+\end_layout
 
 \end_inset
 
-, that is only available in TeX-mode.
+, that is only available in \SpecialChar TeX
+ mode.
 \end_layout
 
 \begin_layout Standard
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -20890,8 +22909,9 @@ ifeurosym
 \begin_inset Note Note
 status open
 
-\begin_layout Standard
-The following table will only be displayed when the LaTeX-package 
+\begin_layout Plain Layout
+The following table will only be displayed when the \SpecialChar LaTeX
+-package 
 \series bold
 eurosym
 \series default
@@ -20911,53 +22931,65 @@ An overview about the different Euro symbols:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="3">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell multicolumn="1" alignment="center" valignment="top" bottomline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+cmidrule[0.08em]{2-3}
+\end_layout
+
+\end_inset
+
 
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command 
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Result
+\begin_layout Plain Layout
+Symbol
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 formula
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 euro
@@ -20965,10 +22997,10 @@ euro
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\euro$
 \end_inset
 
@@ -20978,29 +23010,29 @@ euro
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 mathematical text
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 €
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\mbox{€}$
 \end_inset
 
@@ -21010,20 +23042,21 @@ mathematical text
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
+<row>
 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-TeX-mode
+\begin_layout Plain Layout
+\SpecialChar TeX
+ mode
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 officialeuro
@@ -21031,14 +23064,14 @@ officialeuro
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -21058,13 +23091,39 @@ officialeuro
 \end_inset
 
 
+\begin_inset Note Note
+status collapsed
+
+\begin_layout Plain Layout
+
+\series bold
+
+\backslash
+cmidrule
+\series default
+ is used here only for table borders.
+ See sec.
+\family sans
+Formal Tables
+\family default
+ of the 
+\emph on
+EmbeddedObjects
+\emph default
+ manual for details.
+\end_layout
+
+\end_inset
+
+
 \end_layout
 
 \begin_layout Standard
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -21077,8 +23136,9 @@ else
 \begin_inset Note Note
 status open
 
-\begin_layout Standard
-The following will be displayed when the LaTeX-package 
+\begin_layout Plain Layout
+The following will be displayed when the \SpecialChar LaTeX
+-package 
 \series bold
 eurosym
 \series default
@@ -21091,7 +23151,8 @@ eurosym
 \end_layout
 
 \begin_layout Standard
-You need to install the LaTeX-package 
+You need to install the \SpecialChar LaTeX
+-package 
 \series bold
 eurosym
 \series default
@@ -21102,7 +23163,7 @@ eurosym
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
 
 \begin_layout Section
 Relations
-\begin_inset LatexCommand label
+\begin_inset CommandInset label
+LatexCommand label
 name "sec:Relations"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Relations"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Relations
+\end_layout
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Comparisons|see{Relations}"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Comparisons|see
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+{
+\end_layout
 
 \end_inset
 
+Relations
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
 
+}
 \end_layout
 
-\begin_layout Standard
-All relations can also be inserted via the toolbar button 
-\begin_inset Graphics
-       filename ../images/math/leq.png
-       scale 85
+\end_inset
+
+
+\end_layout
 
 \end_inset
 
-.
+
 \end_layout
 
 \begin_layout Standard
+All following relations can also be inserted via the toolbar button 
+\begin_inset Info
+type  "icon"
+arg   "math-insert \\leq"
+\end_inset
 
-\hfill
+.
+\end_layout
 
+\begin_layout Standard
 \begin_inset Tabular
 <lyxtabular version="3" rows="17" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Result
+\begin_layout Plain Layout
+Relation
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 <
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $<$
 \end_inset
 
@@ -21199,11 +23287,11 @@ Result
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 le
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\le$
 \end_inset
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 ll
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\ll$
 \end_inset
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 prec
@@ -21261,10 +23349,10 @@ prec
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\prec$
 \end_inset
 
@@ -21274,11 +23362,11 @@ prec
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 preceq
@@ -21286,10 +23374,10 @@ preceq
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\preceq$
 \end_inset
 
@@ -21299,11 +23387,11 @@ preceq
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 subset
@@ -21311,10 +23399,10 @@ subset
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\subset$
 \end_inset
 
@@ -21324,11 +23412,11 @@ subset
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 subseteq
@@ -21336,10 +23424,10 @@ subseteq
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\subseteq$
 \end_inset
 
@@ -21349,11 +23437,11 @@ subseteq
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 sqsubseteq
@@ -21361,10 +23449,10 @@ sqsubseteq
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\sqsubseteq$
 \end_inset
 
@@ -21374,11 +23462,11 @@ sqsubseteq
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 in
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\in$
 \end_inset
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 vdash
@@ -21411,10 +23499,10 @@ vdash
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\vdash$
 \end_inset
 
@@ -21424,11 +23512,11 @@ vdash
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 smile
@@ -21436,10 +23524,10 @@ smile
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\smile$
 \end_inset
 
@@ -21449,11 +23537,11 @@ smile
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 lhd
@@ -21461,10 +23549,10 @@ lhd
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\lhd$
 \end_inset
 
@@ -21474,11 +23562,11 @@ lhd
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 unlhd
@@ -21486,10 +23574,10 @@ unlhd
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\unlhd$
 \end_inset
 
@@ -21499,11 +23587,11 @@ unlhd
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 gtrless
@@ -21511,10 +23599,10 @@ gtrless
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\gtrless$
 \end_inset
 
@@ -21524,11 +23612,11 @@ gtrless
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 mid
@@ -21536,10 +23624,10 @@ mid
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\mid$
 \end_inset
 
@@ -21549,11 +23637,11 @@ mid
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 nmid
@@ -21561,10 +23649,10 @@ nmid
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\nmid$
 \end_inset
 
@@ -21579,47 +23667,49 @@ nmid
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
+
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="17" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Result
+\begin_layout Plain Layout
+Relation
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 =
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $=$
 \end_inset
 
@@ -21629,11 +23719,11 @@ Result
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 not=
@@ -21641,10 +23731,10 @@ not=
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\not=$
 \end_inset
 
@@ -21654,11 +23744,11 @@ not=
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 equiv
@@ -21666,10 +23756,10 @@ equiv
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\equiv$
 \end_inset
 
@@ -21679,11 +23769,11 @@ equiv
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 sim
@@ -21691,10 +23781,10 @@ sim
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\sim$
 \end_inset
 
@@ -21704,11 +23794,11 @@ sim
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 simeq
@@ -21716,10 +23806,10 @@ simeq
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\simeq$
 \end_inset
 
@@ -21729,11 +23819,11 @@ simeq
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 approx
@@ -21741,10 +23831,10 @@ approx
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\approx$
 \end_inset
 
@@ -21754,11 +23844,11 @@ approx
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 cong
@@ -21766,10 +23856,10 @@ cong
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\cong$
 \end_inset
 
@@ -21779,11 +23869,11 @@ cong
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 bowtie
@@ -21791,10 +23881,10 @@ bowtie
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\bowtie$
 \end_inset
 
@@ -21804,11 +23894,11 @@ bowtie
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 notin
@@ -21816,10 +23906,10 @@ notin
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\notin$
 \end_inset
 
@@ -21829,11 +23919,11 @@ notin
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 perp
@@ -21841,10 +23931,10 @@ perp
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\perp$
 \end_inset
 
@@ -21854,11 +23944,11 @@ perp
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 propto
@@ -21866,10 +23956,10 @@ propto
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\propto$
 \end_inset
 
@@ -21879,11 +23969,11 @@ propto
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 asymp
@@ -21891,10 +23981,10 @@ asymp
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\asymp$
 \end_inset
 
@@ -21904,11 +23994,11 @@ asymp
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 doteq
@@ -21916,10 +24006,10 @@ doteq
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\doteq$
 \end_inset
 
@@ -21929,11 +24019,11 @@ doteq
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 circeq
@@ -21941,10 +24031,10 @@ circeq
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\circeq$
 \end_inset
 
@@ -21954,11 +24044,11 @@ circeq
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 models
@@ -21966,10 +24056,10 @@ models
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\models$
 \end_inset
 
@@ -21979,11 +24069,11 @@ models
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 widehat=
@@ -21991,10 +24081,10 @@ widehat=
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\widehat{=}$
 \end_inset
 
@@ -22009,47 +24099,49 @@ widehat=
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
+
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="17" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Result
+\begin_layout Plain Layout
+Relation
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 >
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $>$
 \end_inset
 
@@ -22059,11 +24151,11 @@ Result
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 ge
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\ge$
 \end_inset
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 gg
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\gg$
 \end_inset
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 succ
@@ -22121,10 +24213,10 @@ succ
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\succ$
 \end_inset
 
@@ -22134,11 +24226,11 @@ succ
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 succeq
@@ -22146,10 +24238,10 @@ succeq
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\succeq$
 \end_inset
 
@@ -22159,11 +24251,11 @@ succeq
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 supset
@@ -22171,10 +24263,10 @@ supset
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\supset$
 \end_inset
 
@@ -22184,11 +24276,11 @@ supset
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 supseteq
@@ -22196,10 +24288,10 @@ supseteq
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\supseteq$
 \end_inset
 
@@ -22209,11 +24301,11 @@ supseteq
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 sqsupseteq
@@ -22221,10 +24313,10 @@ sqsupseteq
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\sqsupseteq$
 \end_inset
 
@@ -22234,11 +24326,11 @@ sqsupseteq
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 ni
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\ni$
 \end_inset
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 dashv
@@ -22271,10 +24363,10 @@ dashv
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\dashv$
 \end_inset
 
@@ -22284,11 +24376,11 @@ dashv
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 frown
@@ -22296,10 +24388,10 @@ frown
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\frown$
 \end_inset
 
@@ -22309,11 +24401,11 @@ frown
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 rhd
@@ -22321,10 +24413,10 @@ rhd
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\rhd$
 \end_inset
 
@@ -22334,11 +24426,11 @@ rhd
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 unrhd
@@ -22346,10 +24438,10 @@ unrhd
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\unrhd$
 \end_inset
 
@@ -22359,11 +24451,11 @@ unrhd
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 lessgtr
@@ -22371,10 +24463,10 @@ lessgtr
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\lessgtr$
 \end_inset
 
@@ -22384,11 +24476,11 @@ lessgtr
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 parallel
@@ -22396,10 +24488,10 @@ parallel
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\parallel$
 \end_inset
 
@@ -22409,11 +24501,11 @@ parallel
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 nparallel
@@ -22421,10 +24513,10 @@ nparallel
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\nparallel$
 \end_inset
 
@@ -22439,8 +24531,6 @@ nparallel
 \end_inset
 
 
-\hfill
-
 \end_layout
 
 \begin_layout Standard
@@ -22474,6 +24564,18 @@ triangleright
 , respectively.
 \end_layout
 
+\begin_layout Standard
+\SpecialChar LyX
+ supports also many special relations.
+ Use the toolbar button 
+\begin_inset Info
+type  "icon"
+arg   "math-insert \\leqq"
+\end_inset
+
+ to see a list of these relations.
+\end_layout
+
 \begin_layout Standard
 Relations are, in contrary to symbols, always surrounded by space.
 \end_layout
@@ -22486,8 +24588,14 @@ Relations with labels can be created with the command
 stackrel
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! S ! \\textbackslash stackrel"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! S ! 
+\backslash
+stackrel
+\end_layout
 
 \end_inset
 
@@ -22498,63 +24606,38 @@ name "Commands ! S ! \\textbackslash stackrel"
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 A(r)
 \backslash
 stackrel
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 r
 to
 \backslash
 infty
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
@@ -22581,29 +24655,11 @@ spce
 
 \backslash
 approx
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 B
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{5mm}{}A(r)\stackrel{r\to\infty}{\approx}B$
+\begin_layout Plain Layout
+\begin_inset Formula $A(r)\stackrel{r\to\infty}{\approx}B$
 \end_inset
 
 
@@ -22637,14 +24693,19 @@ Functions
 
 \begin_layout Subsection
 Predefined Functions
-\begin_inset LatexCommand label
-name "sub:Predefined-Functions"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Predefined-Functions"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Functions ! predefined"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Functions ! predefined
+\end_layout
 
 \end_inset
 
@@ -22665,7 +24726,7 @@ italic
 \end_inset
 
 .
- Therefore there are predefined functions, that are additionally a bit separated
+ Therefore there are predefined functions which are additionally a bit separated
  from prefactors.
  They are inserted as commands starting with a backslash before their name.
 \end_layout
@@ -22673,76 +24734,92 @@ italic
 \begin_layout Standard
 \align center
 \begin_inset Tabular
-<lyxtabular version="3" rows="2" columns="4">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<lyxtabular version="3" rows="2" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+</row>
+<row>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Command
+\begin_layout Plain Layout
+Asin(x)+B
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Result
+\begin_layout Plain Layout
+\begin_inset Formula $Asin(x)+B$
+\end_inset
+
+
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+</lyxtabular>
+
+\end_inset
+
+
+\begin_inset space \quad{}
+\end_inset
+
+
+\begin_inset Tabular
+<lyxtabular version="3" rows="2" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-Asin(x)+B
+\begin_layout Plain Layout
+Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $Asin(x)+B$
-\end_inset
-
-
+\begin_layout Plain Layout
+Result
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+</row>
+<row>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 A
 \backslash
 sin(x)+B
@@ -22750,10 +24827,10 @@ sin(x)+B
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $A\sin(x)+B$
 \end_inset
 
@@ -22768,19 +24845,6 @@ sin(x)+B
 \end_inset
 
 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-pagebreak 
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -22798,54 +24862,54 @@ The following functions are predefined:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="9" columns="4">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 sin
@@ -22853,10 +24917,10 @@ sin
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 sinh
@@ -22864,10 +24928,10 @@ sinh
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 arcsin
@@ -22875,10 +24939,10 @@ arcsin
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 sup
@@ -22887,11 +24951,11 @@ sup
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 cos
@@ -22899,10 +24963,10 @@ cos
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 cosh
@@ -22910,10 +24974,10 @@ cosh
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 arccos
@@ -22921,10 +24985,10 @@ arccos
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 inf
@@ -22933,11 +24997,11 @@ inf
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 tan
@@ -22945,10 +25009,10 @@ tan
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 tanh
@@ -22956,10 +25020,10 @@ tanh
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 arctan
@@ -22967,10 +25031,10 @@ arctan
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 lim
@@ -22979,11 +25043,11 @@ lim
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 cot
@@ -22991,10 +25055,10 @@ cot
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 coth
@@ -23002,10 +25066,10 @@ coth
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 arg
@@ -23013,10 +25077,10 @@ arg
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 liminf
@@ -23025,11 +25089,11 @@ liminf
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 sec
@@ -23037,10 +25101,10 @@ sec
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 min
@@ -23048,10 +25112,10 @@ min
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 deg
@@ -23059,10 +25123,10 @@ deg
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 limsup
@@ -23071,11 +25135,11 @@ limsup
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 csc
@@ -23083,10 +25147,10 @@ csc
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 max
@@ -23094,10 +25158,10 @@ max
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 det
@@ -23105,10 +25169,10 @@ det
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Pr
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 ln
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 exp
@@ -23140,10 +25204,10 @@ exp
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 dim
@@ -23151,10 +25215,10 @@ dim
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 hom
@@ -23163,11 +25227,11 @@ hom
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 lg
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 log
@@ -23186,10 +25250,10 @@ log
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 ker
@@ -23197,10 +25261,10 @@ ker
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 gcd
@@ -23218,10 +25282,9 @@ gcd
 
 \begin_layout Standard
 They can also be inserted with the math toolbar button 
-\begin_inset Graphics
-       filename ../images/math/functions.png
-       scale 85
-
+\begin_inset Info
+type  "icon"
+arg   "math-insert \\functions"
 \end_inset
 
 .
@@ -23229,8 +25292,12 @@ They can also be inserted with the math toolbar button
 
 \begin_layout Subsection
 Self-defined Functions
-\begin_inset LatexCommand index
-name "Functions ! self-defined"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Functions ! self-defined
+\end_layout
 
 \end_inset
 
@@ -23243,11 +25310,12 @@ To use a function that is not predefined, like for example the sign function
 \end_layout
 
 \begin_layout Itemize
-Define the function by inserting the following line to the LaTeX-preamble
+Define the function by inserting the following line to the \SpecialChar LaTeX
+-preamble
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 For more about 
 \series bold
 
@@ -23255,8 +25323,9 @@ For more about
 DeclareMathOperator
 \series default
  see 
-\begin_inset LatexCommand ref
-reference "sub:Self-defined-Operators"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Self-defined-Operators"
 
 \end_inset
 
@@ -23266,13 +25335,17 @@ reference "sub:Self-defined-Operators"
 \end_inset
 
 
-\newline
+\begin_inset Newline newline
+\end_inset
+
 
 \begin_inset VSpace -3mm
 \end_inset
 
 
-\newline
+\begin_inset Newline newline
+\end_inset
+
 
 \series bold
 
@@ -23282,19 +25355,31 @@ DeclareMathOperator{
 sgn}{sgn}
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! D ! \\textbackslash dbinom@\\textbackslash DeclareMathOperator"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! D ! 
+\backslash
+dbinom@
+\backslash
+DeclareMathOperator
+\end_layout
 
 \end_inset
 
 
-\newline
+\begin_inset Newline newline
+\end_inset
+
 
 \begin_inset VSpace -2mm
 \end_inset
 
 
-\newline
+\begin_inset Newline newline
+\end_inset
+
 Now the new defined function can be called with the command 
 \series bold
 
@@ -23305,13 +25390,13 @@ sgn
 \end_layout
 
 \begin_layout Itemize
-Write the the formula as usual, mark the formula name, in our example the
- letters 
+Write the formula as usual, mark the formula name, in our example the letters
 \emph on
 sgn
 \emph default
 , and change it to mathematical text.
At last a space is inserted between prefactor and function.
Finally, a space is inserted between prefactor and function.
 \end_layout
 
 \begin_layout Standard
@@ -23319,8 +25404,9 @@ The result is the same with both methods as with a predefined function
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
-In LyX self-defined functions are displayed red, predefined ones black.
+\begin_layout Plain Layout
+In \SpecialChar LyX
+ self-defined functions are displayed red, predefined ones black.
 \end_layout
 
 \end_inset
@@ -23332,34 +25418,34 @@ In LyX self-defined functions are displayed red, predefined ones black.
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 A
 \backslash
 sgn(x)+B
@@ -23367,10 +25453,10 @@ sgn(x)+B
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $A\sgn(x)+B$
 \end_inset
 
@@ -23380,15 +25466,15 @@ sgn(x)+B
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 A
 \backslash
 ,
-\begin_inset Formula $\underbrace{\textrm{sgn}}_{\textrm{Alt-m}\,\textrm{m}}$
+\begin_inset Formula $\underbrace{\textrm{sgn}}_{\textrm{Alt+M}\,\textrm{M}}$
 \end_inset
 
 (x)+B
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $A\,\textrm{sgn}(x)+B$
 \end_inset
 
@@ -23423,8 +25509,12 @@ The first method is more suitable when the self-defined function should
 
 \begin_layout Subsection
 Limits
-\begin_inset LatexCommand index
-name "Limits"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Limits
+\end_layout
 
 \end_inset
 
@@ -23432,15 +25522,21 @@ name "Limits"
 \end_layout
 
 \begin_layout Standard
-For limits there are defined beside
+For limits, in addition to the command
 \series bold
 
 \backslash
 lim
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! L ! \\textbackslash lim"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! L ! 
+\backslash
+lim
+\end_layout
 
 \end_inset
 
@@ -23456,57 +25552,41 @@ liminf
 \backslash
 limsup
 \series default
furthermore the following functions:
the following functions are defined:
 \end_layout
 
 \begin_layout Standard
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 varliminf
@@ -23514,10 +25594,10 @@ varliminf
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\varliminf$
 \end_inset
 
@@ -23527,11 +25607,11 @@ varliminf
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 varlimsup
@@ -23539,10 +25619,10 @@ varlimsup
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\varlimsup$
 \end_inset
 
@@ -23552,11 +25632,11 @@ varlimsup
 \end_inset
 </cell>
 </row>
-<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 varprojlim
@@ -23564,10 +25644,10 @@ varprojlim
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\varprojlim$
 \end_inset
 
@@ -23577,11 +25657,11 @@ varprojlim
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1.5mm" bottomspace="1mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 varinjlim
@@ -23589,18 +25669,14 @@ varinjlim
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\varinjlim$
 \end_inset
 
 
-\begin_inset Formula $\raisebox{-2.5mm}{}$
-\end_inset
-
-
 \end_layout
 
 \end_inset
@@ -23625,96 +25701,44 @@ The limit is created by inserting a subscript.
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features>
+<features booktabs="true" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-hspace{1cm}
-\end_layout
-
-\end_inset
-
+\begin_layout Plain Layout
 Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-hspace
-\series default
- and
-\series bold
-\backslash
-raisebox
-\series default
- are used here as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
 </row>
 <row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 lim_x
 \backslash
 to
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 A
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 x=B
@@ -23722,11 +25746,11 @@ x=B
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\hspace{1cm}\raisebox{5mm}{}\lim_{x\to A}x=B$
+\begin_layout Plain Layout
+\begin_inset Formula $\lim_{x\to A}x=B$
 \end_inset
 
 
@@ -23744,18 +25768,42 @@ x=B
 
 \begin_layout Standard
 In a displayed formula the limit is set below the formula, as usual:
-\begin_inset Formula \[
-\lim_{x\to A}x=B\]
+\begin_inset Formula 
+\[
+\lim_{x\to A}x=B
+\]
+
+\end_inset
+
+
+\end_layout
 
+\begin_layout Standard
+\begin_inset VSpace medskip
 \end_inset
 
 
 \end_layout
 
+\begin_layout Standard
+How to adjust the typesetting of the limits see 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Operator-Limits"
+
+\end_inset
+
+.
+\end_layout
+
 \begin_layout Subsection
 Modulo-Functions
-\begin_inset LatexCommand index
-name "Functions ! modulo-"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Functions ! modulo-
+\end_layout
 
 \end_inset
 
@@ -23764,16 +25812,15 @@ name "Functions ! modulo-"
 
 \begin_layout Standard
 The modulo-function is special, because it exists in four variants.
-\end_layout
-
-\begin_layout Standard
-The variants in a displayed formula:
-\begin_inset Formula \begin{align*}
+ The variants in a displayed formula are:
+\begin_inset Formula 
+\begin{align*}
 \underline{\textrm{Command}\raisebox{-0.9mm}{}} &  & \underline{\textrm{Result}}\\
-\mathrm{a\backslash mod\textrm{\spce}b} &  & a\mod b\\
-\mathrm{a\backslash pmod\textrm{\spce}b} &  & a\pmod b\\
-\mathrm{a\backslash bmod\textrm{\spce}b} &  & a\bmod b\\
-\mathrm{a\backslash pod\textrm{\spce}b} &  & a\pod b\end{align*}
+\mathrm{a\backslash mod\textrm{␣}b} &  & a\mod b\\
+\mathrm{a\backslash pmod\textrm{␣}b} &  & a\pmod b\\
+\mathrm{a\backslash bmod\textrm{␣}b} &  & a\bmod b\\
+\mathrm{a\backslash pod\textrm{␣}b} &  & a\pod b
+\end{align*}
 
 \end_inset
 
@@ -23783,60 +25830,177 @@ The variants in a displayed formula:
 \begin_layout Standard
 In an inline formula less space is set before the function names for all
  variants.
+ By default the modulo-functions take only the first following character
+ into account.
+ To use more than one character, one has to put them into \SpecialChar TeX
+ braces:
+\begin_inset Formula 
+\begin{align*}
+\underline{\textrm{Command}\raisebox{-0.9mm}{}} &  & \underline{\textrm{Result}}\\
+\mathrm{a\backslash pod\textrm{␣}bcd} &  & a\pod bcd\\
+\mathrm{a\backslash pod\backslash\{bc\to d} &  & a\pod{bc}d
+\end{align*}
+
+\end_inset
+
+
 \end_layout
 
 \begin_layout Section
 Special Characters
-\begin_inset LatexCommand index
-name "Special characters"
+\begin_inset Index idx
+status collapsed
 
-\end_inset
+\begin_layout Plain Layout
+Special characters
+\end_layout
 
+\end_inset
 
-\end_layout
 
-\begin_layout Subsection
-Special Characters in Mathematical Text
 \end_layout
 
 \begin_layout Standard
-The following commands can only be used in mathematical text or in TeX-mode:
+The characters ^ and _ would normally create a superscript and subscript,
+ respectively.
+ To get these characters you have to insert them with a leading 
+\backslash
+:
 \end_layout
 
 \begin_layout Standard
-
-\hfill
-
+\noindent
+\align center
 \begin_inset Tabular
-<lyxtabular version="3" rows="8" columns="2">
-<features>
-<column alignment="block" valignment="top" leftline="true" width="0">
-<column alignment="block" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<lyxtabular version="3" rows="3" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="left" valignment="top" width="0pt">
+<column alignment="block" valignment="top">
+<row>
+<cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+^
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\mathcircumflex$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="left" valignment="top" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+_
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
+\begin_layout Plain Layout
+\begin_inset Formula $\_$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Subsection
+Special Characters in Mathematical Text
+\end_layout
+
+\begin_layout Standard
+The following commands can only be used in mathematical text or in \SpecialChar TeX
+ mode:
+\end_layout
+
 \begin_layout Standard
+\begin_inset space \hfill{}
+\end_inset
+
+
+\begin_inset Tabular
+<lyxtabular version="3" rows="8" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="left" valignment="top" width="0pt">
+<column alignment="block" valignment="top">
+<row>
+<cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Command
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Result
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
 
 \backslash
 oe
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\textrm{\oe}$
+\begin_layout Plain Layout
+\begin_inset Formula $\textrm{œ}$
 \end_inset
 
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 OE
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\textrm{\OE}$
+\begin_layout Plain Layout
+\begin_inset Formula $\textrm{Œ}$
 \end_inset
 
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 ae
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\textrm{\ae}$
+\begin_layout Plain Layout
+\begin_inset Formula $\textrm{æ}$
 \end_inset
 
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 AE
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\textrm{\AE}$
+\begin_layout Plain Layout
+\begin_inset Formula $\textrm{Æ}$
 \end_inset
 
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 aa
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\textrm{\aa}$
+\begin_layout Plain Layout
+\begin_inset Formula $\textrm{å}$
 \end_inset
 
 
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 AA
-\begin_inset LatexCommand index
-name "\\@\\textrm{\\AA}"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+
+\backslash
+@
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+textrm{
+\backslash
+AA}
+\end_layout
+
+\end_inset
+
+
+\end_layout
 
 \end_inset
 
@@ -23975,11 +26160,11 @@ name "\\@\\textrm{\\AA}"
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\textrm{\AA}$
+\begin_layout Plain Layout
+\begin_inset Formula $\textrm{}$
 \end_inset
 
 
@@ -23988,11 +26173,11 @@ name "\\@\\textrm{\\AA}"
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="left" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 i
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\textrm{\i}$
+\begin_layout Plain Layout
+\begin_inset Formula $\textrm{ı}$
 \end_inset
 
 
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
+
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features>
-<column alignment="block" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="left" valignment="top" width="0pt">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-command
+\begin_layout Plain Layout
+Command
 \begin_inset Note Note
 status collapsed
 
-\begin_layout Standard
-
-\series bold
+\begin_layout Plain Layout
+The space of 0
+\begin_inset space \thinspace{}
+\end_inset
 
-\backslash
-hspace{0mm}
-\series default
- is used for separation, because otherwise the output will be ¡ and ¿ respective
-ly.
+mm is used for separation, because otherwise the output will be ¡ and ¿
+ respectively.
 \end_layout
 
 \end_inset
@@ -24052,21 +26237,21 @@ ly.
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 o
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\textrm{\o}$
+\begin_layout Plain Layout
+\begin_inset Formula $\textrm{ø}$
 \end_inset
 
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 O
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\textrm{\O}$
+\begin_layout Plain Layout
+\begin_inset Formula $\textrm{Ø}$
 \end_inset
 
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 l
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\textrm{\l}$
+\begin_layout Plain Layout
+\begin_inset Formula $\textrm{ł}$
 \end_inset
 
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 L
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\textrm{\L}$
+\begin_layout Plain Layout
+\begin_inset Formula $\textrm{Ł}$
 \end_inset
 
 
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 !
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-hspace{0mm}
-\end_layout
-
+\begin_inset space \hspace{}
+\length 0mm
 \end_inset
 
 `
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
@@ -24198,10 +26366,10 @@ spce
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\textrm{!`}$
 \end_inset
 
@@ -24211,35 +26379,18 @@ spce
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 ?
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-hspace{0mm}
-\end_layout
-
+\begin_inset space \hspace{}
+\length 0mm
 \end_inset
 
 `
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
@@ -24247,10 +26398,10 @@ spce
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\textrm{?`}$
 \end_inset
 
@@ -24260,11 +26411,11 @@ spce
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="left" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 j
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\textrm{\j}$
+\begin_layout Plain Layout
+\begin_inset Formula $\textrm{ȷ}$
 \end_inset
 
 
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
+
 
 \end_layout
 
@@ -24304,10 +26457,9 @@ The characters
 \end_inset
 
  can also be inserted via the math toolbar button 
-\begin_inset Graphics
-       filename ../images/math/digamma.png
-       scale 85
-
+\begin_inset Info
+type  "icon"
+arg   "math-insert \\digamma"
 \end_inset
 
 .
@@ -24317,50 +26469,40 @@ The characters
 An exception are the commands 
 \series bold
 !
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-hspace{0mm}
-\end_layout
-
-\end_inset
+\begin_inset space \hspace{}
+\length 0mm
+\end_inset
 
 `
 \series default
  and 
 \series bold
 ?
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-hspace{0mm}
-\end_layout
-
+\begin_inset space \hspace{}
+\length 0mm
 \end_inset
 
 `
 \series default
-, because they can be inserted in LyX directly to text.
+, because they can be inserted in \SpecialChar LyX
+ directly to text.
 \end_layout
 
 \begin_layout Subsection
 Accents in Text
-\begin_inset LatexCommand label
-name "sub:Accents-in-Text"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Accents-in-Text"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Accents ! in text"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Accents ! in text
+\end_layout
 
 \end_inset
 
@@ -24369,43 +26511,45 @@ name "Accents ! in text"
 
 \begin_layout Standard
 With the following commands all letters can be accented.
- The commands must be inserted in TeX-mode.
+ The commands must be inserted in \SpecialChar TeX
+ mode.
 \end_layout
 
 \begin_layout Standard
+\begin_inset space \hfill{}
+\end_inset
 
-\hfill
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features>
-<column alignment="block" valignment="top" leftline="true" width="0">
-<column alignment="block" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="left" valignment="top" width="0pt">
+<column alignment="block" valignment="top">
+<row>
+<cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -24439,11 +26583,11 @@ status collapsed
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 `e
@@ -24451,14 +26595,14 @@ status collapsed
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -24473,24 +26617,15 @@ status collapsed
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 ^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 e
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -24520,11 +26655,11 @@ status collapsed
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 =e
@@ -24532,14 +26667,14 @@ status collapsed
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -24554,24 +26689,15 @@ status collapsed
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 u
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 e
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -24601,24 +26727,15 @@ u e
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 b
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 e
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -24648,24 +26765,15 @@ b e
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="left" valignment="top" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 t
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 ee
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -24700,51 +26808,44 @@ t ee
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
+
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features>
-<column alignment="block" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="left" valignment="top" width="0pt">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 H
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 e
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -24774,11 +26875,11 @@ H e
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 'e
@@ -24786,14 +26887,14 @@ H e
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -24808,16 +26909,20 @@ status collapsed
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 ~e
-\begin_inset LatexCommand index
-name "Tilde"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Tilde
+\end_layout
 
 \end_inset
 
@@ -24826,14 +26931,14 @@ name "Tilde"
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -24848,11 +26953,11 @@ status collapsed
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 .e
@@ -24860,14 +26965,14 @@ status collapsed
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -24882,24 +26987,15 @@ status collapsed
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 v
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 e
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -24929,24 +27025,15 @@ v e
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 d
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 e
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -24976,24 +27063,15 @@ d e
 \end_inset
 </cell>
 </row>
-<row bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="left" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 c
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 e
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -25028,7 +27106,9 @@ c e
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
+
 
 \end_layout
 
 
 \backslash
 t
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
-
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 sz
@@ -25066,7 +27137,7 @@ sz
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -25087,17 +27158,18 @@ The accents
 \series bold
 '
 \series default
and 
+ and 
 \series bold
 ^
 \series default
  can in combination with vowels directly be inserted with the keyboard without
- using TeX-mode.
+ using \SpecialChar TeX
+ mode.
  The same applies for the tilde
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 This only applies for keyboards where the tilde is defined as accent.
 \end_layout
 
 \backslash
 v
 \series default
-, and accents inserted directly with the keyboard are also available in
- mathematical text.
+ and accents that are inserted directly with the keyboard are also available
in mathematical text.
  For the other accents there are special math commands to be used in formulas,
  see 
-\begin_inset LatexCommand ref
-reference "sub:Accents-for-one"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Accents-for-one"
 
 \end_inset
 
@@ -25188,63 +27261,53 @@ Furthermore, with the command
 textcircled
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! T ! \\textbackslash textcircled"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! T ! 
+\backslash
+textcircled
+\end_layout
 
 \end_inset
 
  all numbers and letters can be set into a circle, quasi accented with a
- circle, similar to the the copyright symbol.
+ circle, similar to the copyright symbol.
 \end_layout
 
 \begin_layout Standard
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 textcircled{w}
@@ -25252,14 +27315,14 @@ textcircled{w}
 
 \end_inset
 </cell>
-<cell multicolumn="1" alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell multicolumn="1" alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -25274,11 +27337,11 @@ textcircled{w}
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row topspace="1mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Large 
@@ -25294,18 +27357,14 @@ raisebox{-1.5pt}{W}}
 
 \end_inset
 </cell>
-<cell multicolumn="1" alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell multicolumn="1" alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{4.5mm}{}$
-\end_inset
-
-
+\begin_layout Plain Layout
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -25323,10 +27382,6 @@ raisebox{-1.5pt}W}
 \end_inset
 
 
-\begin_inset Formula $\raisebox{-2mm}{}$
-\end_inset
-
-
 \end_layout
 
 \end_inset
@@ -25351,10 +27406,11 @@ Large
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 see 
-\begin_inset LatexCommand ref
-reference "sub:Font-Sizes"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Font-Sizes"
 
 \end_inset
 
@@ -25374,10 +27430,11 @@ raisebox
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 see 
-\begin_inset LatexCommand ref
-reference "sub:Boxes-without-Frame"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Boxes-without-Frame"
 
 \end_inset
 
@@ -25390,9 +27447,13 @@ reference "sub:Boxes-without-Frame"
 \end_layout
 
 \begin_layout Subsection
-Minuscule Numbers
-\begin_inset LatexCommand index
-name "Minuscule numbers"
+Old-style Figures
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Old-style Figures
+\end_layout
 
 \end_inset
 
@@ -25400,20 +27461,28 @@ name "Minuscule numbers"
 \end_layout
 
 \begin_layout Standard
-Minuscule numbers are created with the command 
+Old-style figures (also known as old-style numerals) are created with the
+ command 
 \series bold
 
 \backslash
 oldstylenums
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! O ! \\textbackslash oldstylenums"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! O ! 
+\backslash
+oldstylenums
+\end_layout
 
 \end_inset
 
 .
- The command can be used in formulas and in TeX-mode.
+ The command can be used in formulas and in \SpecialChar TeX
+ mode.
  The command scheme is:
 \end_layout
 
@@ -25439,233 +27508,320 @@ oldstylenums{0123456789
 
 \end_layout
 
-\begin_layout Subsection
-Miscellaneous Special Characters
-\begin_inset LatexCommand label
-name "sub:Miscellaneous-Special-Characters"
+\begin_layout Section
+Formula Styles
+\begin_inset CommandInset label
+LatexCommand label
+name "sec:Formula-Styles"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Special characters ! miscellaneous"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Formula ! styles
+\end_layout
 
 \end_inset
 
 
 \end_layout
 
-\begin_layout Standard
-The following characters can only be inserted to formulas by using commands:
+\begin_layout Itemize
+There are two different alignment styles:
 \end_layout
 
-\begin_layout Standard
-\align center
-\begin_inset Tabular
-<lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Standard
-Command
+\begin_deeper
+\begin_layout Description
+Centered is the predefined standard
 \end_layout
 
+\begin_layout Description
+Indented for this the option 
+\series bold
+fleqn
+\series default
+ must be inserted in the menu 
+\family sans
+Document\SpecialChar menuseparator
+Settings
+\family default
+ under 
+\family sans
+Document
+\begin_inset space ~
 \end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
-Result
+Class
 \end_layout
 
-\end_inset
-</cell>
-</row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
 \begin_layout Standard
+When 
+\series bold
+Indented
+\series default
+ is used, the indentation can be adjusted with the length 
+\series bold
 
 \backslash
-^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
+mathindent
+\series default
 
+\begin_inset Index idx
+status collapsed
 
+\begin_layout Plain Layout
+Commands ! M ! 
 \backslash
-spce 
+mathindent
 \end_layout
 
 \end_inset
 
+.
+ Should the distance be 15
+\begin_inset space \thinspace{}
+\end_inset
 
+mm, the following command line is inserted in the \SpecialChar LaTeX
+-preamble
 \end_layout
 
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-
 \begin_layout Standard
-\begin_inset Formula $\mathcircumflex$
-\end_inset
 
+\series bold
 
+\backslash
+setlength{
+\backslash
+mathindent}{15mm}
 \end_layout
 
+\begin_layout Standard
+When no length is specified, the predefined value of 30
+\begin_inset space \thinspace{}
 \end_inset
-</cell>
-</row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
+pt will be used.
+\end_layout
 
-\backslash
-_
+\end_deeper
+\begin_layout Itemize
+And two different numbering styles:
 \end_layout
 
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
+\begin_deeper
+\begin_layout Description
+Right is the predefined standard
+\end_layout
 
-\begin_layout Standard
-\begin_inset Formula $\_$
+\begin_layout Description
+Left for this the option 
+\series bold
+leqno
+\series default
+ must be inserted in the menu 
+\family sans
+Document\SpecialChar menuseparator
+Settings
+\family default
+ under 
+\family sans
+Document
+\begin_inset space ~
 \end_inset
 
-
+Class
 \end_layout
 
-\end_inset
-</cell>
-</row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
+\end_deeper
 \begin_layout Standard
-^
-\begin_inset ERT
-status collapsed
+
+\series bold
+fleqn
+\series default
+ and 
+\series bold
+leqno
+\series default
+ can also be used together.
+ In this case both options are inserted, separated by a comma.
+\end_layout
 
 \begin_layout Standard
+The chosen styles are used for all displayed formulas of the document.
+ When both, centered and indented formulas should be created in a document,
+ the style 
+\series bold
+Centered
+\series default
+ is used.
+ The indented formulas are then set in a flalign environment, see 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Flalign-Environment"
 
+\end_inset
 
-\backslash
-spce 
+.
 \end_layout
 
+\begin_layout Section
+Multiline Formulas
+\begin_inset CommandInset label
+LatexCommand label
+name "sec:Multiline-Formulas"
+
 \end_inset
 
 
-\backslash
-circ
-\begin_inset LatexCommand index
-name "°"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Formula ! multiline
+\end_layout
 
 \end_inset
 
 
 \end_layout
 
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
+\begin_layout Subsection
+General
+\end_layout
 
 \begin_layout Standard
-\begin_inset Formula $^{\circ}$
+In \SpecialChar LyX
+ multiline formulas are created by pressing 
+\begin_inset Info
+type  "shortcut"
+arg   "newline-insert newline"
 \end_inset
 
-
-\end_layout
+ inside a formula.
+ This creates either an 
+\series bold
+align environment
+\series default
+ that is described in 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Standard-align-Environment"
 
 \end_inset
-</cell>
-</row>
-</lyxtabular>
 
-\end_inset
+ or, when automatically loading the package
+\family sans
+ AMS math
+\family default
+ is disabled in the document settings, an 
+\series bold
+eqnarray environment
+\series default
+ that is described in 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Eqnarray-Environment"
 
+\end_inset
 
+.
+ The align environment is recommended because it provides in any case a
+ typographically correct output.
 \end_layout
 
 \begin_layout Standard
-The degree sign ° can nevertheless be directly inserted if the LaTeX-preamble
- contains the following line
-\begin_inset Foot
-status collapsed
+There are other multiline formula environments that can be created via the
+ menu 
+\family sans
+Insert\SpecialChar menuseparator
+Math
+\family default
+.
+ These environments are described in the following sections.
+\end_layout
 
 \begin_layout Standard
-More about this is described in 
-\begin_inset LatexCommand ref
-reference "sub:Text-Characters-in"
-
+In all multiline formula environments a new line is created by pressing
+\begin_inset Info
+type  "shortcut"
+arg   "newline-insert newline"
 \end_inset
 
 .
+ To add or delete lines, the math toolbar buttons 
+\begin_inset Info
+type  "icon"
+arg   "tabular-feature append-row"
+\end_inset
+
+ or 
+\begin_inset Info
+type  "icon"
+arg   "tabular-feature delete-row"
+\end_inset
+
+, respectively, or the menu 
+\family sans
+Edit\SpecialChar menuseparator
+Rows & Columns
+\family default
+ can be used.
 \end_layout
 
+\begin_layout Subsubsection
+Line Separation
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Line-Separation"
+
 \end_inset
 
-:
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Formula ! multiline ! Line separation
 \end_layout
 
-\begin_layout Standard
+\end_inset
 
-\series bold
 
-\backslash
-DeclareInputtext{176}{
-\backslash
-ifmmode^
-\backslash
-circ
-\backslash
-else
-\backslash
-textdegree
-\backslash
-f\SpecialChar \textcompwordmark{}
-i}
 \end_layout
 
 \begin_layout Standard
-\begin_inset VSpace bigskip
+There is sometimes not enough space in multiline formulas between the lines:
+\begin_inset Formula 
+\begin{eqnarray*}
+B^{2}(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2})+4x_{0}^{2}x^{2}+4x_{0}xD & = & \textrm{-}4x^{2}B^{2}+4x_{0}xB^{2}\\
+4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right) & = & 0
+\end{eqnarray*}
+
 \end_inset
 
-The tilde
-\begin_inset LatexCommand index
-name "Tilde"
 
-\end_inset
+\end_layout
 
- is designed as accent, thus is looks alone a bit misplaced: ~
-\newline
-But for web
- addresses (URLs) sometimes a single tilde is needed.
- In this case the relation sign 
-\series bold
+\begin_layout Standard
+In \SpecialChar LaTeX
+ additional line space is specified as optional argument of the new line
+ command.
+ This is not yet possible in \SpecialChar LyX
 
-\backslash
-sim
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 see 
-\begin_inset LatexCommand ref
-reference "sec:Relations"
+\begin_inset CommandInset href
+LatexCommand href
+name "LyX-bug #1505"
+target "http://www.lyx.org/trac/ticket/1505"
 
 \end_inset
 
@@ -25674,806 +27830,815 @@ reference "sec:Relations"
 
 \end_inset
 
+, therefore the whole formula must be inserted in \SpecialChar TeX
+ mode.
+ To add in our example space, the command 
+\series bold
 
-\series default
- is used in a formula.
- As a formula cannot be created in an URL-box (menu 
-\family sans
-Insert\SpecialChar \menuseparator
-URL
-\family default
-), the URL is inserted as normal text with the font style '
-\family typewriter
-typewriter
-\family default
-'.
- Should the URL be a hyperlink in the DVI- or PDF-output, the command 
-\series bold
+\backslash
 
 \backslash
-href
+[3mm]
 \series default
-
-\begin_inset Foot
+ is inserted at the end of the first line.
+ One gets: 
+\begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
-\series bold
 
 \backslash
-href
-\series default
- can only be used together with the LaTeX-package 
-\series bold
-hyperref
-\series default
+begin{eqnarray*}
+\end_layout
 
-\begin_inset LatexCommand index
-name "Packages ! hyperref"
+\begin_layout Plain Layout
 
-\end_inset
+B^{2}(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2})+4x_{0}^{2}x^{2}+4x_{0}xD &
+ = & 
+\backslash
+textrm{-}4x^{2}B^{2}+4x_{0}xB^{2}
+\backslash
 
-.
- More about 
-\series bold
+\backslash
+[3mm]
+\end_layout
+
+\begin_layout Plain Layout
 
+4x^{2}
 \backslash
-href
-\series default
- is written in the section 
-\family typewriter
-URL
-\family default
- in the 
-\family typewriter
-Embedded\InsetSpace ~
-Objects
-\family default
- manual.
+left(B^{2}+x_{0}^{2}
+\backslash
+right)+4x_{0}x
+\backslash
+left(D-B^{2}
+\backslash
+right)+B^{2}
+\backslash
+left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}
+\backslash
+right) & = & 0
 \end_layout
 
-\end_inset
+\begin_layout Plain Layout
 
 
-\begin_inset LatexCommand index
-name "Commands ! H ! \\textbackslash href"
+\backslash
+end{eqnarray*}
+\end_layout
 
 \end_inset
 
- is used.
-\end_layout
 
-\begin_layout Standard
-As example an URL with a tilde:
 \end_layout
 
 \begin_layout Standard
-as text: 
-\family typewriter
-http://www.lyx.org/
-\begin_inset Formula $\sim$
+\begin_inset VSpace bigskip
 \end_inset
 
-mustermann
-\end_layout
-
-\begin_layout Standard
-with 
+To set the line separation for all lines in a formula, the length 
 \series bold
 
 \backslash
-href
+jot
 \series default
-: 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
 
+\begin_inset Index idx
+status collapsed
 
+\begin_layout Plain Layout
+Commands ! J ! 
 \backslash
-href{http://www.lyx.org/~mustermann}{
+jot
 \end_layout
 
 \end_inset
 
-http://www.lyx.org/
-\begin_inset Formula $\sim$
+ is changed.
+ The definition is: 
+\begin_inset Formula $\mbox{line separation}=\mathrm{6\,pt+\backslash jot}$
 \end_inset
 
-mustermann
-\begin_inset ERT
-status collapsed
+.
+ Predefined for 
+\series bold
 
-\begin_layout Standard
+\backslash
+jot
+\series default
+ is the value 3
+\begin_inset space \thinspace{}
+\end_inset
 
-}
+pt.
+ To create 3
+\begin_inset space \thinspace{}
+\end_inset
+
+mm additional line separation as in the previous example, the command
 \end_layout
 
-\end_inset
+\begin_layout Standard
 
+\series bold
 
+\backslash
+setlength{
+\backslash
+jot}{3mm+3pt}
 \end_layout
 
-\begin_layout Section
-Formula Styles
-\begin_inset LatexCommand label
-name "sec:Formula-Styles"
+\begin_layout Standard
+is inserted in \SpecialChar TeX
+ mode before the formula.
+ This requires that the \SpecialChar LaTeX
+-package 
+\series bold
+calc
+\series default
 
-\end_inset
+\begin_inset Foot
+status collapsed
 
+\begin_layout Plain Layout
 
-\begin_inset LatexCommand index
-name "Formula ! styles"
+\series bold
+calc
+\series default
+ is part of every \SpecialChar LaTeX
+ standard installation.
+\end_layout
 
 \end_inset
 
 
-\end_layout
+\begin_inset Index idx
+status collapsed
 
-\begin_layout Itemize
-There are two different alignment styles:
+\begin_layout Plain Layout
+Packages ! calc
 \end_layout
 
-\begin_deeper
-\begin_layout Description
-Centered is the predefined standard
-\end_layout
+\end_inset
 
-\begin_layout Description
-Indented for this the option 
-\series bold
-fleqn
-\series default
- must be inserted in the menu 
-\family sans
-Document\SpecialChar \menuseparator
-Settings
-\family default
- under 
-\family sans
-Document\InsetSpace ~
-Class
+ was loaded in \SpecialChar LaTeX
+-preamble with the line
 \end_layout
 
 \begin_layout Standard
-When 
-\series bold
-Indented
-\series default
- is used, the indentation can be adjusted with the length 
+
 \series bold
 
 \backslash
-mathindent
-\series default
-
-\begin_inset LatexCommand index
-name "Commands ! M ! \\textbackslash mathindent"
-
-\end_inset
-
-.
- Should the distance be 15\InsetSpace \thinspace{}
-mm, the following command line is inserted in
- the LaTeX-preamble
+usepackage{calc}
 \end_layout
 
 \begin_layout Standard
+One gets: 
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
 
-\series bold
 
 \backslash
 setlength{
 \backslash
-mathindent}{15mm}
+jot}{3mm+3pt}
 \end_layout
 
-\begin_layout Standard
-When no length is specified, the predefined value of 30\InsetSpace \thinspace{}
-pt will be used.
-\end_layout
+\end_inset
 
-\end_deeper
-\begin_layout Itemize
-And two different numbering styles:
-\end_layout
 
-\begin_deeper
-\begin_layout Description
-Right is the predefined standard
-\end_layout
+\begin_inset Formula 
+\begin{eqnarray*}
+B^{2}(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2})+4x_{0}^{2}x^{2}+4x_{0}xD & = & \textrm{-}4x^{2}B^{2}+4x_{0}xB^{2}\\
+4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right) & = & 0
+\end{eqnarray*}
+
+\end_inset
+
 
-\begin_layout Description
-Left for this the option 
-\series bold
-leqno
-\series default
- must be inserted in the menu 
-\family sans
-Document\SpecialChar \menuseparator
-Settings
-\family default
- under 
-\family sans
-Document\InsetSpace ~
-Class
 \end_layout
 
-\end_deeper
 \begin_layout Standard
+\begin_inset ERT
+status collapsed
 
-\series bold
-fleqn
-\series default
- and 
-\series bold
-leqno
-\series default
- can also be used together.
- In this case both options are inserted, separated by a comma.
+\begin_layout Plain Layout
+
+
+\backslash
+setlength{
+\backslash
+jot}{3pt}
 \end_layout
 
-\begin_layout Standard
-The chosen styles are used for all displayed formulas of the document.
- When both, centered and indented formulas should be created in a document,
- the style 
+\end_inset
+
+ To get back to the predefined distance, 
 \series bold
-Centered
-\series default
- is used.
- The indented formulas are then set in a flalign environment, see 
-\begin_inset LatexCommand ref
-reference "sub:Flalign-Environment"
 
+\backslash
+jot
+\series default
+ is set to the value 3
+\begin_inset space \thinspace{}
 \end_inset
 
-.
+pt.
 \end_layout
 
-\begin_layout Section
-Multiline Formulas
-\begin_inset LatexCommand label
-name "sec:Multiline-Formulas"
+\begin_layout Subsubsection
+Column Separation
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Column-Separation"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Formula ! multiline"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Formula ! multiline ! Column separation
+\end_layout
 
 \end_inset
 
 
 \end_layout
 
-\begin_layout Subsection
-General
+\begin_layout Standard
+Multiline formulas form a matrix.
+ A formula in the eqnarray environment is for example a matrix with three
+ columns.
+ By changing the column separation in this environment, the space beside
+ the relation sign can be changed.
 \end_layout
 
 \begin_layout Standard
-In LyX multiline formulas are created by pressing 
-\family sans
-\series bold
-Ctrl-Return
-\family default
-\series default
- inside a formula.
- This creates an 
+The column separation is specified with the length 
 \series bold
-align environment
+
+\backslash
+arraycolsep
 \series default
- that is described in 
-\begin_inset LatexCommand ref
-reference "sub:Standard-align-Environment"
 
-\end_inset
+\begin_inset Index idx
+status collapsed
 
-.
+\begin_layout Plain Layout
+Commands ! A ! 
+\backslash
+arraycolsep
 \end_layout
 
-\begin_layout Standard
-There are other multiline formula environments that can be created via the
- menu 
-\family sans
-Insert\SpecialChar \menuseparator
-Math
-\family default
-.
- These environments are described in the following sections.
-\end_layout
-
-\begin_layout Standard
-In all multiline formula environments a new line is created by pressing
-\family sans
-Ctrl-Return
-\family default
-.
- To add or delete lines, the math toolbar buttons 
-\begin_inset Graphics
-       filename ../images/tabular-feature_append-row.png
-       scale 85
-
 \end_inset
 
- or 
-\begin_inset Graphics
-       filename ../images/tabular-feature_delete-row.png
-       scale 85
-
+ according to:
+\begin_inset Newline newline
 \end_inset
 
-, respectively, or the menu 
-\family sans
-Edit\SpecialChar \menuseparator
-Rows & Columns
-\family default
- can be used.
-\end_layout
-
-\begin_layout Subsubsection
-Line Separation
-\begin_inset LatexCommand label
-name "sub:Line-Separation"
-
+column separation = 2
+\begin_inset space \thinspace{}
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Formula ! multiline ! Line separation"
+\series bold
 
-\end_inset
+\backslash
+arraycolsep
+\series default
 
+\begin_inset Newline newline
+\end_inset
 
+Thus, the command
 \end_layout
 
 \begin_layout Standard
-There is sometimes not enough space in multiline formulas between the lines:
-\begin_inset Formula \begin{eqnarray*}
-B^{2}(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2})+4x_{0}^{2}x^{2}+4x_{0}xD & = & \textrm{-}4x^{2}B^{2}+4x_{0}xB^{2}\\
-4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right) & = & 0\end{eqnarray*}
-
-\end_inset
 
+\series bold
 
+\backslash
+setlength{
+\backslash
+arraycolsep}{1cm}
 \end_layout
 
 \begin_layout Standard
-In LaTeX additional line space is specified as optional argument of the
- new line command.
- This is not yet possible in LyX
-\begin_inset Foot
-status collapsed
-
-\begin_layout Standard
-see 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
+inserted in \SpecialChar TeX
+ mode, sets for all following formulas a column separation of
+ 2
+\begin_inset space \thinspace{}
+\end_inset
 
+cm.
+ To get back to the predefined distance, 
+\series bold
 
 \backslash
-href{http://bugzilla.lyx.org/show_bug.cgi?id=1505}{
+arraycolsep
+\series default
+ is set to 5
+\begin_inset space \thinspace{}
+\end_inset
+
+pt.
 \end_layout
 
+\begin_layout Standard
+A formula with 2
+\begin_inset space \thinspace{}
 \end_inset
 
-LyX-bug #1505
+cm column separation:
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
-}
+
+\backslash
+setlength{
+\backslash
+arraycolsep}{1cm}
 \end_layout
 
 \end_inset
 
 
-\end_layout
+\begin_inset Formula 
+\begin{eqnarray*}
+A & = & B\\
+C & \ne & A
+\end{eqnarray*}
 
 \end_inset
 
-, therefore the whole formula must be inserted in TeX-mode.
- To add in our example space, the command 
-\series bold
-
-\backslash
+A formula with the predefined column separation for matrices of 10
+\begin_inset space \thinspace{}
+\end_inset
 
-\backslash
-[3mm]
-\series default
- is inserted at the end of the first line.
- One gets: 
+pt:
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
-begin{eqnarray*}
+setlength{
+\backslash
+arraycolsep}{5pt}
 \end_layout
 
-\begin_layout Standard
+\end_inset
 
-B^{2}(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2})+4x_{0}^{2}x^{2}+4x_{0}xD &
- = & 
-\backslash
-textrm{-}4x^{2}B^{2}+4x_{0}xB^{2}
-\backslash
 
-\backslash
-[3mm]
-\end_layout
+\begin_inset Formula 
+\begin{eqnarray*}
+A & = & B\\
+C & \ne & A
+\end{eqnarray*}
+
+\end_inset
 
-\begin_layout Standard
 
-4x^{2}
-\backslash
-left(B^{2}+x_{0}^{2}
-\backslash
-right)+4x_{0}x
-\backslash
-left(D-B^{2}
-\backslash
-right)+B^{2}
-\backslash
-left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}
-\backslash
-right) & = & 0
 \end_layout
 
 \begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
 
 
-\backslash
-end{eqnarray*}
 \end_layout
 
-\end_inset
-
+\begin_layout Subsubsection
+Long Formulas
+\begin_inset Index idx
+status collapsed
 
+\begin_layout Plain Layout
+Formula ! long
 \end_layout
 
-\begin_layout Standard
-\begin_inset VSpace bigskip
 \end_inset
 
-To set the the line separation for all lines in a formula, the length 
-\series bold
 
-\backslash
-jot
-\series default
+\end_layout
+
+\begin_layout Standard
+Long formulas can be typeset using these methods:
+\end_layout
 
-\begin_inset LatexCommand index
-name "Commands ! J ! \\textbackslash jot"
+\begin_layout Itemize
+When one side of the equation is much shorter than the line width, this
+ one is chosen for the left side and the right side is typeset over two
+ lines:
+\begin_inset Formula 
+\begin{eqnarray}
+H & = & W_{SB}+W_{mv}+W_{D}-\frac{\hbar^{2}}{2m_{0}}\Delta-\frac{\hbar^{2}}{2m_{1}}\Delta_{1}-\frac{\hbar^{2}}{2m_{2}}\Delta_{2}-\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{1}|}\nonumber \\
+ &  & -\hspace{3pt}\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{2}|}+\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{R}_{1}-\mathbf{R}_{2}|}\label{eq:shortlong}
+\end{eqnarray}
 
 \end_inset
 
- is changed.
- The definition is: 
-\begin_inset Formula $\mbox{line separation}=\mathrm{6\, pt+\backslash jot}$
+The minus sign at the beginning of the second line does normally not appear
+ as an operator because it is the first character of the line.
+ Thus it would not be surrounded by space and could not be distinguished
+ from the fraction bar.
+ To avoid this, 3
+\begin_inset space \thinspace{}
 \end_inset
 
-.
- Predefined for 
+pt space was inserted behind the minus sign with the command 
 \series bold
 
 \backslash
-jot
+hspace
 \series default
- is the value 3\InsetSpace \thinspace{}
-pt.
- To create 3\InsetSpace \thinspace{}
-mm additional line separation as in the previous example, the
- command
-\end_layout
-
-\begin_layout Standard
+.
+\begin_inset Foot
+status collapsed
 
+\begin_layout Plain Layout
+for more about 
 \series bold
 
 \backslash
-setlength{
-\backslash
-jot}{3mm+3pt}
-\end_layout
-
-\begin_layout Standard
-is inserted in TeX-mode before the formula.
- This requires that the LaTeX-package 
-\series bold
-calc
+hspace
 \series default
+ see 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Variable-Space"
 
-\begin_inset Foot
-status collapsed
+\end_inset
 
-\begin_layout Standard
 
-\series bold
-calc
-\series default
- is part of every LaTeX standard installation.
 \end_layout
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Packages ! calc"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! H ! 
+\backslash
+hspace
+\end_layout
 
 \end_inset
 
- was loaded in LaTeX-preamble with the line
-\end_layout
 
-\begin_layout Standard
+\end_layout
 
+\begin_layout Itemize
+When both sides of the equation are too long, the command 
 \series bold
 
 \backslash
-usepackage{calc}
-\end_layout
+lefteqn
+\series default
 
-\begin_layout Standard
-One gets: 
-\begin_inset ERT
+\begin_inset Index idx
 status collapsed
 
-\begin_layout Standard
-
-
-\backslash
-setlength{
+\begin_layout Plain Layout
+Commands ! L ! 
 \backslash
-jot}{3mm+3pt}
+lefteqn
 \end_layout
 
 \end_inset
 
-
-\begin_inset Formula \begin{eqnarray*}
-B^{2}(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2})+4x_{0}^{2}x^{2}+4x_{0}xD & = & \textrm{-}4x^{2}B^{2}+4x_{0}xB^{2}\\
-4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right) & = & 0\end{eqnarray*}
+ is used.
+ It is inserted in the first column of the first line and causes all further
+ insertions to overwrite the following columns:
+\begin_inset Formula 
+\begin{eqnarray}
+\lefteqn{4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right)+D^{2}}\nonumber \\
+ &  & -\hspace{3pt}B^{2}-2B\sqrt{r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}+r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}\nonumber \\
+ &  & =B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}\label{eq:lefteqn}
+\end{eqnarray}
 
 \end_inset
 
+After the insertion of 
+\series bold
 
-\end_layout
+\backslash
+lefteqn
+\series default
+, the cursor is in a purple box that is a bit shifted to the left from the
+ blue one.
+ In this the formula is inserted.
+\begin_inset Newline newline
+\end_inset
 
-\begin_layout Standard
-\begin_inset ERT
-status collapsed
+The content of the further lines is inserted to the second or another formula
+ column.
+ The greater the column number where it was inserted, the larger the indentation.
+\begin_inset VSpace medskip
+\end_inset
 
-\begin_layout Standard
 
+\begin_inset Newline newline
+\end_inset
 
-\backslash
-setlength{
-\backslash
-jot}{3pt}
-\end_layout
 
-\end_inset
+\begin_inset Note Greyedout
+status open
 
- To get back to the predefined distance, 
+\begin_layout Plain Layout
+Note the following when using 
 \series bold
 
 \backslash
-jot
+lefteqn
 \series default
- is set to the value 3\InsetSpace \thinspace{}
-pt.
+:
 \end_layout
 
-\begin_layout Subsubsection
-Column Separation
-\begin_inset LatexCommand label
-name "sub:Column-Separation"
+\begin_layout Itemize
+The formula doesn't use the full page width.
+ When e.
+\begin_inset space \thinspace{}
+\end_inset
+
+g.
+\begin_inset space \space{}
+\end_inset
 
+the term 
+\begin_inset Formula $-B^{2}$
 \end_inset
 
+ is added to the first line in the above example, it would have been outside
+ the page margin.
+ To better use the width, negative space can be inserted at the beginning
+ of the first line.
+\end_layout
+
+\begin_layout Itemize
+Due to a bug in \SpecialChar LyX
+ the cursor cannot be set with the mouse into the first
+ line.
+\begin_inset Foot
+status collapsed
 
-\begin_inset LatexCommand index
-name "Formula ! multiline ! Column separation"
+\begin_layout Plain Layout
+\begin_inset CommandInset href
+LatexCommand href
+name "LyX-bug #1429"
+target "http://www.lyx.org/trac/ticket/1429"
 
 \end_inset
 
 
 \end_layout
 
-\begin_layout Standard
-Multiline formulas form a matrix.
- A formula in the eqnarray environment is for example a matrix with three
- columns.
- By changing the column separation in this environment, the space beside
- the relation sign can be changed.
+\end_inset
+
+ One can only set the cursor at the beginning of the line and move it with
+ the arrow keys.
 \end_layout
 
-\begin_layout Standard
-The column separation is specified with the length 
-\series bold
+\end_inset
 
-\backslash
-arraycolsep
-\series default
 
-\begin_inset LatexCommand index
-name "Commands ! A ! \\textbackslash arraycolsep"
+\end_layout
+
+\begin_layout Itemize
+Other methods to set long formulas are offered by the environments described
+ in 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Multline-Environment"
 
 \end_inset
 
- according to:
-\newline
-column separation = 2\InsetSpace \thinspace{}
+ and 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Multiline-Formula-Parts"
 
-\series bold
+\end_inset
 
-\backslash
-arraycolsep
-\series default
+.
+\end_layout
 
-\newline
-Thus, the command
+\begin_layout Subsubsection
+Multiline Fractions
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Multiline-Fractions"
+
+\end_inset
+
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Fractions ! multiline
 \end_layout
 
-\begin_layout Standard
+\end_inset
 
-\series bold
 
-\backslash
-setlength{
-\backslash
-arraycolsep}{1cm}
 \end_layout
 
 \begin_layout Standard
-inserted in TeX-mode, sets for all following formulas a column separation
- of 2\InsetSpace \thinspace{}
-cm.
- To get back to the predefined distance, 
+There are cases where the denominator and/or the numerator of a fraction
+ is so long that the fraction does not fit into one line.
+ It is then necessary to add a line break within the fraction.
+ This can be done using the command 
 \series bold
 
 \backslash
-arraycolsep
+splitfrac
 \series default
- is set to 5\InsetSpace \thinspace{}
-pt.
-\end_layout
 
-\begin_layout Standard
-A formula with 2\InsetSpace \thinspace{}
-cm column separation:
-\begin_inset ERT
+\begin_inset Index idx
 status collapsed
 
-\begin_layout Standard
-
-
-\backslash
-setlength{
+\begin_layout Plain Layout
+Commands ! S ! 
 \backslash
-arraycolsep}{1cm}
+splitfrac
 \end_layout
 
 \end_inset
 
+.
+ To activate it, set in the document settings under 
+\family sans
+Math
+\begin_inset space ~
+\end_inset
 
-\begin_inset Formula \begin{eqnarray*}
-A & = & B\\
-C & \ne & A\end{eqnarray*}
+Options
+\family default
+ for the package 
+\series bold
+mathtools
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Packages ! mathtools
+\end_layout
 
 \end_inset
 
-A formula with the predefined column separation for matrices of 10\InsetSpace \thinspace{}
-pt:
-\begin_inset ERT
-status collapsed
+ the option 
+\family sans
+Load
+\begin_inset space ~
+\end_inset
+
+always
+\family default
+.
+\series bold
+
+\backslash
+splitfrac
+\series default
+ has the scheme
+\end_layout
 
 \begin_layout Standard
 
+\series bold
 
 \backslash
-setlength{
-\backslash
-arraycolsep}{5pt}
+splitfrac{first line}{second line}
+\end_layout
+
+\begin_layout Standard
+and is used as denominator and/or numerator:
 \end_layout
 
+\begin_layout Standard
+\begin_inset Formula 
+\[
+a=\frac{\splitfrac{xy+xy+xy+xy+xy}{+wy+wy+wy+wy}}{z}\ne\frac{\splitdfrac{xy+\frac{xy}{z}+xy+xy+xy}{+xy+xy+xy+xy}}{z}
+\]
+
 \end_inset
 
+The command for the first numerator above is:
+\end_layout
 
-\begin_inset Formula \begin{eqnarray*}
-A & = & B\\
-C & \ne & A\end{eqnarray*}
+\begin_layout Standard
+
+\series bold
 
+\backslash
+splitfrac{xy+xy+xy+xy+xy
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
+\backslash
+{+wy+wy+wy+wy
 \end_layout
 
 \begin_layout Subsubsection
-Long Formulas
-\begin_inset LatexCommand index
-name "Formula ! long"
+Multiline Brackets
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Multiline-Brackets"
 
 \end_inset
 
 
-\end_layout
+\begin_inset Index idx
+status collapsed
 
-\begin_layout Standard
-Long formulas can be typeset using these methods:
+\begin_layout Plain Layout
+Brackets ! for multiline expressions
 \end_layout
 
-\begin_layout Itemize
-When one side of the equation is much shorther than the line width, this
- one is chosen for the left side and the right side is typeset over two
- lines:
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
+\end_inset
 
 
-\backslash
-medskip
 \end_layout
 
-\end_inset
-
-\begin_inset Formula \begin{eqnarray}
-H & = & W_{SB}+W_{mv}+W_{D}-\frac{\hbar^{2}}{2m_{0}}\Delta-\frac{\hbar^{2}}{2m_{1}}\Delta_{1}-\frac{\hbar^{2}}{2m_{2}}\Delta_{2}-\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{1}|}\nonumber \\
- &  & -\hspace{3pt}\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{2}|}+\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{R}_{1}-\mathbf{R}_{2}|}\label{eq:kurzlang}\end{eqnarray}
+\begin_layout Standard
+For brackets spanning multiple lines the following problem occurs:
+\begin_inset Formula 
+\begin{eqnarray*}
+A & = & \sin(x)\left[\prod_{R=1}^{\infty}\frac{1}{R}+\cdots\right.\\
+ &  & \left.\cdots+B-D\right]
+\end{eqnarray*}
 
 \end_inset
 
 
-\begin_inset ERT
-status collapsed
+\end_layout
+
+\begin_layout Standard
+The closing bracket is smaller than the opening bracket because brackets
+ with variable size may not span multiple lines.
+\end_layout
 
 \begin_layout Standard
+To set the bracket size for the second line correctly, the first line is
+ ended with 
+\series bold
+
+\backslash
+right.
+\series default
 
+\begin_inset Index idx
+status collapsed
 
+\begin_layout Plain Layout
+Commands ! R ! 
 \backslash
-smallskip
+right
 \end_layout
 
 \end_inset
 
-
-\newline
-The minus sign at the beginning of the second line does normally not appear
- as operator because it is the first character of the line.
- Thus it would not be surrounded by space and could not be distinguished
- from the fraction bar.
- To avoid this, space was inserted behind the minus sign with the command
+ and the second line with 
 \series bold
 
 \backslash
-hspace{3pt}
-\series default
-
+left.
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
-more about 
+\begin_layout Plain Layout
+for more about 
 \series bold
 
 \backslash
-hspace
+left
+\series default
+ and 
+\series bold
+
+\backslash
+right
 \series default
  see 
-\begin_inset LatexCommand ref
-reference "sub:Variable-Space"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Automatic-Bracket-Size"
 
 \end_inset
 
@@ -26483,264 +28648,215 @@ reference "sub:Variable-Space"
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Commands ! H ! \\textbackslash hspace"
-
-\end_inset
-
-.
-\end_layout
-
-\begin_layout Itemize
-When both sides of the equation are too long, the command 
-\series bold
-
-\backslash
-lefteqn
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! L ! \\textbackslash lefteqn"
-
-\end_inset
-
- is used.
- It is inserted to the first column of the first line and effects that all
- further insertions overwrite the following columns:
-\begin_inset ERT
+\begin_inset Index idx
 status collapsed
 
-\begin_layout Standard
-
-
+\begin_layout Plain Layout
+Commands ! L ! 
 \backslash
-medskip
+left
 \end_layout
 
 \end_inset
 
+.
+ After 
+\series bold
 
-\begin_inset Formula \begin{eqnarray}
-\lefteqn{4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right)+D^{2}}\nonumber \\
- &  & -\hspace{3pt}B^{2}-2B\sqrt{r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}+r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}\nonumber \\
- &  & =B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}\label{eq:lefteqn}\end{eqnarray}
+\backslash
+left.
 
-\end_inset
+\series default
+ the command 
+\series bold
 
+\backslash
+vphantom
+\series default
 
-\begin_inset ERT
-status collapsed
+\begin_inset space \textvisiblespace{}
+\end_inset
 
-\begin_layout Standard
 
+\series bold
 
 \backslash
-smallskip
-\end_layout
-
+prod
+\series default
+^
+\begin_inset space \textvisiblespace{}
 \end_inset
 
 
-\newline
-After the insertion of 
 \series bold
 
 \backslash
-lefteqn
+infty
 \series default
-, the cursor is in a purple box that is a bit shifted to the left from the
- blue one.
- In this the formula is inserted.
-\begin_inset ERT
-status collapsed
 
-\begin_layout Standard
+\begin_inset space \textvisiblespace{}
+\end_inset
 
 
-\backslash
-medskip
-\end_layout
+\series bold
 
+\begin_inset Formula $\downarrow$
 \end_inset
 
+_R=1}
+\series default
 
-\newline
-The content of the further lines is inserted to the second or another formula
- column.
- The greater the column number where it was inserted, the larger the indentation.
-\begin_inset ERT
+\begin_inset Index idx
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
+Commands ! V ! 
+\backslash
+vphantom
+\end_layout
 
+\end_inset
 
-\backslash
-medskip
+ is inserted, because the multiplication operator with its limits is the
+ largest symbol in the first line and this should be the size for the bracket
+ in the second line.
 \end_layout
 
+\begin_layout Standard
+The result is this:
+\begin_inset Formula 
+\begin{eqnarray*}
+A & = & \sin(x)\left[\prod_{R=1}^{\infty}\frac{1}{R}+\cdots\right.\\
+ &  & \left.\vphantom{\prod_{R=1}^{\infty}}\cdots+B-D\right]
+\end{eqnarray*}
+
 \end_inset
 
 
-\newline
+\end_layout
 
-\begin_inset Note Greyedout
-status open
+\begin_layout Subsection
+Align Environments
+\end_layout
 
 \begin_layout Standard
-Note the following when using 
-\series bold
+Align environments can be used for every kind of multiline formulas.
+ They are especially useful to set several formulas side by side.
+\end_layout
 
-\backslash
-lefteqn
-\series default
-:
+\begin_layout Standard
+Align environments consist of columns.
+ The odd columns are right aligned, the even ones left aligned.
+ Every line in an Align environment can be numbered.
 \end_layout
 
-\begin_layout Itemize
-The formula doesn't use the full page width.
- When e.\InsetSpace \thinspace{}
-g.\InsetSpace ~
-the term 
-\begin_inset Formula $-B^{2}$
-\end_inset
-
- is added to the first line in the above example, it would have been outside
- the page margin.
- To better use the width, negative space can be inserted at the beginning
- of the first line.
-\end_layout
-
-\begin_layout Itemize
-Due to a bug in LyX the cursor cannot be set with the mouse into the first
- line.
-\begin_inset Foot
-status collapsed
-
-\begin_layout Standard
-\begin_inset ERT
-status collapsed
-
 \begin_layout Standard
-
-
-\backslash
-href{http://bugzilla.lyx.org/show_bug.cgi?id=1429}{
+Align environments are created via the menu 
+\family sans
+Insert\SpecialChar menuseparator
+Math
+\family default
+.
+ With the menu 
+\family sans
+Edit\SpecialChar menuseparator
+Math\SpecialChar menuseparator
+Change Formula Type
+\family default
+ already existing formulas can be converted to Align environments.
 \end_layout
 
-\end_inset
-
-LyX-bug #1429
-\begin_inset ERT
-status collapsed
-
 \begin_layout Standard
-
-}
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
+To add or delete columns, the math toolbar buttons 
+\begin_inset Info
+type  "icon"
+arg   "tabular-feature append-column"
 \end_inset
 
- One can only set the cursor at the beginning of the line and move it with
- the arrow keys.
-\end_layout
-
+ or 
+\begin_inset Info
+type  "icon"
+arg   "tabular-feature delete-column"
 \end_inset
 
-
+, respectively, or the menu 
+\family sans
+Edit\SpecialChar menuseparator
+Rows & Columns
+\family default
+ can be used.
 \end_layout
 
-\begin_layout Itemize
-Other methods to set long formulas are offered by the environments described
- in 
-\begin_inset LatexCommand ref
-reference "sub:Multline-Environment"
+\begin_layout Subsubsection
+Standard align Environment
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Standard-align-Environment"
 
 \end_inset
 
- and 
-\begin_inset LatexCommand ref
-reference "sub:Multiline-Formula-Parts"
 
-\end_inset
+\begin_inset Index idx
+status collapsed
 
-.
+\begin_layout Plain Layout
+Formula ! multiline ! align environment
 \end_layout
 
-\begin_layout Subsubsection
-Multiline Brackets
-\begin_inset LatexCommand label
-name "sub:Multiline-Brackets"
-
-\end_inset
-
-
-\begin_inset LatexCommand index
-name "Brackets ! for multiline expressions"
-
 \end_inset
 
 
 \end_layout
 
 \begin_layout Standard
-For brackets spanning multiple lines the following problem occurs:
-\begin_inset Formula \begin{eqnarray*}
-A & = & \sin(x)\left[\prod_{R=1}^{\infty}\frac{1}{R}+\cdots\right.\\
- &  & \left.\cdots+B-D\right]\end{eqnarray*}
-
+This Align environment is created by pressing 
+\begin_inset Info
+type  "shortcut"
+arg   "newline-insert newline"
 \end_inset
 
-
-\end_layout
-
-\begin_layout Standard
-The closing bracket is smaller than the opening bracket because brackets
- with variable size may not span multiple lines.
+ in a formula or by the menu 
+\family sans
+Insert\SpecialChar menuseparator
+Math\SpecialChar menuseparator
+AMS align Environment
+\family default
+.
 \end_layout
 
 \begin_layout Standard
-To set the bracket size for the second line correctly, the first line is
- ended with 
-\series bold
-
-\backslash
-right.
-\series default
-
-\begin_inset LatexCommand index
-name "Commands ! R ! \\textbackslash right"
+An example for two formulas set side by side, that are created with a four
+ column align environment:
+\begin_inset Formula 
+\begin{align*}
+A & =\sin(B) & C & =D\\
+C & \ne A & B & \ne D
+\end{align*}
 
 \end_inset
 
- and the second line with 
+As it can be seen, the formulas in this environment are placed so as if
+ there would be a 
 \series bold
 
 \backslash
-left.
+hfill
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
-for more about 
-\series bold
-
-\backslash
-left
-\series default
- and 
+\begin_layout Plain Layout
+more about 
 \series bold
 
 \backslash
-right
+hfill
 \series default
  see 
-\begin_inset LatexCommand ref
-reference "sub:Automatic-Bracket-Size"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Variable-Space"
 
 \end_inset
 
@@ -26751,384 +28867,202 @@ reference "sub:Automatic-Bracket-Size"
 
 
 \series default
+ before the first and after every even column.
+ When the formula style 
+\series bold
+Indented
+\begin_inset Foot
+status collapsed
 
-\begin_inset LatexCommand index
-name "Commands ! L ! \\textbackslash left"
+\begin_layout Plain Layout
+formula styles see 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sec:Formula-Styles"
 
 \end_inset
 
-.
- After 
-\series bold
 
-\backslash
-left.
+\end_layout
+
+\end_inset
+
 
 \series default
- the command 
+ is used, the formula is set without the 
 \series bold
 
 \backslash
-vphantom
+hfill
 \series default
+ before the first column.
+\end_layout
 
-\begin_inset ERT
+\begin_layout Subsubsection
+Alignat Environment
+\begin_inset Index idx
 status collapsed
 
-\begin_layout Standard
-
-
-\backslash
-spce 
+\begin_layout Plain Layout
+Formula ! multiline ! alignat environment
 \end_layout
 
 \end_inset
 
 
-\series bold
-
-\backslash
-prod
-\series default
-^
-\begin_inset ERT
-status collapsed
+\end_layout
 
 \begin_layout Standard
+The alignat environment has no predefined column separation.
+ It can be inserted manually with the spaces that are described 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Space"
 
+\end_inset
 
-\backslash
-spce 
+.
 \end_layout
 
+\begin_layout Standard
+The above example in the alignat environment where 1
+\begin_inset space \thinspace{}
 \end_inset
 
+cm space was inserted at the beginning of the second formula:
+\begin_inset Formula 
+\begin{alignat*}{2}
+A & =\sin(B) & \hspace{1cm}C & =D\\
+C & \ne A & B & \ne D
+\end{alignat*}
 
-\series bold
+\end_inset
 
-\backslash
-infty
-\series default
+Because the column separation can be set separately for every column, this
+ environment is especially suitable to set three and more formulas side
+ by side.
+\end_layout
 
-\begin_inset ERT
+\begin_layout Subsubsection
+Flalign Environment
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Flalign-Environment"
+
+\end_inset
+
+
+\begin_inset Index idx
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
+Formula ! multiline ! flalign environment
+\end_layout
+
+\end_inset
 
 
-\backslash
-spce 
 \end_layout
 
+\begin_layout Standard
+In this environment the first two columns are always set as much as possible
+ to the left and the last two ones to the right.
+ An example:
+\begin_inset Formula 
+\begin{flalign*}
+A & =1 & B & =2 & C & =3\\
+X & =\textrm{-}1 & Y & =\textrm{-}2 & Z & =4
+\end{flalign*}
+
 \end_inset
 
 
+\end_layout
+
+\begin_layout Standard
+By creating a flalign environment with an odd number of columns where an
+ empty \SpecialChar TeX
+ brace is inserted to the last column, several formulas in a document
+ can be set to the left, although the formula style 
 \series bold
+Centered
+\series default
+ is used.
+ As example the indented formula 
+\begin_inset CommandInset ref
+LatexCommand eqref
+reference "eq:VolInt"
 
-\begin_inset Formula $\downarrow$
 \end_inset
 
-_R=1}
-\series default
+:
+\begin_inset Formula 
+\begin{flalign}
+\hspace{30pt}\iiint\limits _{V}X\,\mathrm{d}V & =U & {}
+\end{flalign}
 
-\begin_inset LatexCommand index
-name "Commands ! V ! \\textbackslash vphantom"
+\end_inset
 
+The first two columns contain the formula.
+ To indent it as with the formula style 
+\series bold
+Indented
+\series default
+, 30
+\begin_inset space \thinspace{}
 \end_inset
 
- is inserted, because the multiplication operator with its limits is the
- largest symbol in the first line and this should be the size for the bracket
- in the second line.
+pt space was inserted at the beginning of the first column.
 \end_layout
 
-\begin_layout Standard
-The result is this:
-\begin_inset Formula \begin{eqnarray*}
-A & = & \sin(x)\left[\prod_{R=1}^{\infty}\frac{1}{R}+\cdots\right.\\
- &  & \left.\vphantom{\prod_{R=1}^{\infty}}\cdots+B-D\right]\end{eqnarray*}
+\begin_layout Subsection
+Eqnarray Environment
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Eqnarray-Environment"
 
 \end_inset
 
 
-\end_layout
+\begin_inset Index idx
+status collapsed
 
-\begin_layout Subsection
-Align Environments
+\begin_layout Plain Layout
+Formula ! multiline ! eqnarray environment
 \end_layout
 
-\begin_layout Standard
-Align environments can be used for every kind of multiline formulas.
- They are specially useful to set several formulas side by side.
-\end_layout
+\end_inset
 
-\begin_layout Standard
-Align environments consist of columns.
- The odd columns are right aligned, the even ones left aligned.
- Every line in an Align environment can be numbered.
-\end_layout
 
-\begin_layout Standard
-Align environments are created via the menu 
-\family sans
-Insert\SpecialChar \menuseparator
-Math
-\family default
-.
- With the menu 
-\family sans
-Edit\SpecialChar \menuseparator
-Math\SpecialChar \menuseparator
-Change Formula Type
-\family default
- already existing existing formulas can be converted to Align environments.
 \end_layout
 
 \begin_layout Standard
-To add or delete columns, the math toolbar buttons 
-\begin_inset Graphics
-       filename ../images/tabular-feature_append-column.png
-       scale 85
+When this environment has been created, three blue boxes appear.
+ The content of the first box is right aligned, the content of the last
+ one left aligned.
+ The content of the middle box appears centered and a bit smaller, because
+ it is designed to insert there only relation characters.
+\begin_inset Formula 
+\begin{eqnarray*}
+\frac{ABC}{D} & \frac{ABC}{D} & \frac{ABC}{D}\\
+AB & AB & AB\\
+A & = & A
+\end{eqnarray*}
 
 \end_inset
 
- or 
-\begin_inset Graphics
-       filename ../images/tabular-feature_delete-column.png
-       scale 85
 
-\end_inset
-
-, respectively, or the menu 
-\family sans
-Edit\SpecialChar \menuseparator
-Rows & Columns
-\family default
- can be used.
-\end_layout
-
-\begin_layout Subsubsection
-Standard align Environment
-\begin_inset LatexCommand label
-name "sub:Standard-align-Environment"
-
-\end_inset
-
-
-\begin_inset LatexCommand index
-name "Formula ! multiline ! align environment"
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-This Align environment is created by presssing 
-\family sans
-Ctrl-Return
-\family default
- in a formula or by the menu 
-\family sans
-Insert\SpecialChar \menuseparator
-Math\SpecialChar \menuseparator
-AMS align Environment
-\family default
-.
-\end_layout
-
-\begin_layout Standard
-An example for two formulas set side by side, that are created with a four
- column align environment:
-\begin_inset Formula \begin{align*}
-A & =\sin(B) & C & =D\\
-C & \ne A & B & \ne D\end{align*}
-
-\end_inset
-
-As it can be seen, the formulas in this environment are placed so as if
- there would be a 
-\series bold
-
-\backslash
-hfill
-\begin_inset Foot
-status collapsed
-
-\begin_layout Standard
-more about 
-\series bold
-
-\backslash
-hfill
-\series default
- see 
-\begin_inset LatexCommand ref
-reference "sub:Variable-Space"
-
-\end_inset
-
-
-\end_layout
-
-\end_inset
-
-
-\series default
- before the first and after every even column.
- When the formula style 
-\series bold
-Indented
-\begin_inset Foot
-status collapsed
-
-\begin_layout Standard
-formula styles see 
-\begin_inset LatexCommand ref
-reference "sec:Formula-Styles"
-
-\end_inset
-
-
-\end_layout
-
-\end_inset
-
-
-\series default
- is used, the formula is set without the 
-\series bold
-
-\backslash
-hfill
-\series default
- before the first column.
-\end_layout
-
-\begin_layout Subsubsection
-Alignat Environment
-\begin_inset LatexCommand index
-name "Formula ! multiline ! alignat environment"
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-The alignat environment has no predefined column separation.
- It can be inserted manually with the spaces that are described 
-\begin_inset LatexCommand ref
-reference "sub:Space"
-
-\end_inset
-
-.
-\end_layout
-
-\begin_layout Standard
-The above example in the alignat environment where 1\InsetSpace \thinspace{}
-cm space was inserted
- at the beginning of the second formula:
-\begin_inset Formula \begin{alignat*}{2}
-A & =\sin(B) & \hspace{1cm}C & =D\\
-C & \ne A & B & \ne D\end{alignat*}
-
-\end_inset
-
-Because the column separation can be set separately for every column, this
- environment is especially suitable to set three and more formulas side
- by side.
-\end_layout
-
-\begin_layout Subsubsection
-Flalign Environment
-\begin_inset LatexCommand label
-name "sub:Flalign-Environment"
-
-\end_inset
-
-
-\begin_inset LatexCommand index
-name "Formula ! multiline ! flalign environment"
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-In this environment the first two columns are always set as much as possible
- to the left and the last two ones to the right.
- An example:
-\begin_inset Formula \begin{flalign*}
-A & =1 & B & =2 & C & =3\\
-X & =\textrm{-}1 & Y & =\textrm{-}2 & Z & =4\end{flalign*}
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-By creating a flalign environment with an odd number of columns where an
- empty TeX-brace is inserted to the last column, several formulas in a document
- can be set to the left, although the formula style 
-\series bold
-Centered
-\series default
- is used.
- As example the indented formula 
-\begin_inset LatexCommand eqref
-reference "eq:VolInt"
-
-\end_inset
-
-:
-\begin_inset Formula \begin{flalign}
-\hspace{30pt}\iiint\limits _{V}X\,\mathrm{d}V & =U & {}\end{flalign}
-
-\end_inset
-
-The first two columns contain the formula.
- To indent it as with the formula style 
-\series bold
-Indented
-\series default
-, 30\InsetSpace \thinspace{}
-pt space was inserted at the beginning of the first column.
-\end_layout
+\end_layout
 
 \begin_layout Subsection
-Eqnarray Environment
-\begin_inset LatexCommand index
-name "Formula ! multiline ! eqnarray environment"
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-When this environment has been created, three blue boxes appear.
- The content of the first box is right aligned, the content of the last
- one left aligned.
- The content of the middle box appears centered and a bit smaller, because
- it is designed to insert there only relation characters.
-\begin_inset Formula \begin{eqnarray*}
-\frac{ABC}{D} & \frac{ABC}{D} & \frac{ABC}{D}\\
-AB & AB & AB\\
-A & = & A\end{eqnarray*}
-
-\end_inset
-
+Gather Environment
+\begin_inset Index idx
+status collapsed
 
+\begin_layout Plain Layout
+Formula ! multiline ! gather environment
 \end_layout
 
-\begin_layout Subsection
-Gather Environment
-\begin_inset LatexCommand index
-name "Formula ! multiline ! gather environment"
-
 \end_inset
 
 
@@ -27137,9 +29071,11 @@ name "Formula ! multiline ! gather environment"
 \begin_layout Standard
 This environment consists of only one centered column.
  Every line can be numbered.
-\begin_inset Formula \begin{gather}
+\begin_inset Formula 
+\begin{gather}
 A=1\\
-X=\textrm{-}1\end{gather}
+X=\textrm{-}1
+\end{gather}
 
 \end_inset
 
@@ -27148,14 +29084,19 @@ X=\textrm{-}1\end{gather}
 
 \begin_layout Subsection
 Multline Environment
-\begin_inset LatexCommand label
-name "sub:Multline-Environment"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Multline-Environment"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Formula ! multiline ! multline environment"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Formula ! multiline ! multline environment
+\end_layout
 
 \end_inset
 
@@ -27169,16 +29110,19 @@ The multline environment consists, like the gather environment, of only
  All other lines are centered.
  Therefore this environment is suitable for long formulas.
  As example formula 
-\begin_inset LatexCommand eqref
+\begin_inset CommandInset ref
+LatexCommand eqref
 reference "eq:lefteqn"
 
 \end_inset
 
  in the multline environment:
-\begin_inset Formula \begin{multline}
+\begin_inset Formula 
+\begin{multline}
 4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right)+D^{2}\\
 -B^{2}-2B\sqrt{r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}+r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}\\
-=B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}\end{multline}
+=B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}
+\end{multline}
 
 \end_inset
 
@@ -27186,14 +29130,15 @@ reference "eq:lefteqn"
 \end_layout
 
 \begin_layout Standard
-In the output only the the last (first) line of a multline environment appears
+In the output only the last (first) line of a multline environment appears
  numbered when the document numbering is right (left).
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 numbering styles see 
-\begin_inset LatexCommand ref
+\begin_inset CommandInset ref
+LatexCommand ref
 reference "sec:Formula-Styles"
 
 \end_inset
@@ -27203,69 +29148,46 @@ reference "sec:Formula-Styles"
 
 \end_inset
 
- This is also the case when there is a formula number displayed after every
- line in LyX.
-\begin_inset Foot
-status collapsed
 
-\begin_layout Standard
-This is 
-\begin_inset ERT
-status collapsed
+\end_layout
 
 \begin_layout Standard
-
+With the commands 
+\series bold
 
 \backslash
-href{http://bugzilla.lyx.org/show_bug.cgi?id=518}{
-\end_layout
-
-\end_inset
+shoveright
+\series default
 
-LyX-bug #518
-\begin_inset ERT
+\begin_inset Index idx
 status collapsed
 
-\begin_layout Standard
-
-}
-\end_layout
-
-\end_inset
-
-.
+\begin_layout Plain Layout
+Commands ! S ! 
+\backslash
+shoveright
 \end_layout
 
 \end_inset
 
-
-\end_layout
-
-\begin_layout Standard
-With the commands 
+ and 
 \series bold
 
 \backslash
-shoveright
-\begin_inset LatexCommand index
-name "Commands ! S ! \\textbackslash shoveright"
-
-\end_inset
-
-
+shoveleft
 \series default
- and 
-\series bold
 
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! S ! 
 \backslash
 shoveleft
-\begin_inset LatexCommand index
-name "Commands ! S ! \\textbackslash shoveleft"
+\end_layout
 
 \end_inset
 
-
-\series default
  a centered line can be right or left aligned, respectively.
  The commands are used as follows:
 \end_layout
@@ -27293,15 +29215,24 @@ The length
 
 \backslash
 multlinegap
-\begin_inset LatexCommand index
-name "Commands ! M ! \\textbackslash multlinegap"
+\series default
 
-\end_inset
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! M ! 
+\backslash
+multlinegap
+\end_layout
 
+\end_inset
 
-\series default
  specifies the distance of the first line from the left page margin.
- Predefined is the length 0\InsetSpace \thinspace{}
+ Predefined is the length 0
+\begin_inset space \thinspace{}
+\end_inset
+
 pt.
 \end_layout
 
@@ -27320,11 +29251,12 @@ multlinegap}{2cm}
 \end_layout
 
 \begin_layout Standard
-was inserted in TeX-mode before:
+was inserted in \SpecialChar TeX
+ mode before:
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -27336,10 +29268,12 @@ multlinegap}{2cm}
 \end_inset
 
 
-\begin_inset Formula \begin{multline}
+\begin_inset Formula 
+\begin{multline}
 4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right)+D^{2}\\
 \shoveleft{-B^{2}-2B\sqrt{r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}+r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}\\
-=B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}\end{multline}
+=B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}
+\end{multline}
 
 \end_inset
 
@@ -27347,7 +29281,7 @@ multlinegap}{2cm}
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -27369,14 +29303,19 @@ shoveleft
 
 \begin_layout Subsection
 Multiline Formula Parts
-\begin_inset LatexCommand label
-name "sub:Multiline-Formula-Parts"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Multiline-Formula-Parts"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Formula ! multiline ! formula parts"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Formula ! multiline ! formula parts
+\end_layout
 
 \end_inset
 
@@ -27385,7 +29324,7 @@ name "Formula ! multiline ! formula parts"
 
 \begin_layout Standard
 To display only parts of a formula with multiple lines, one of the following
- environments are used: 
+ environments is used: 
 \series bold
 aligned
 \series default
@@ -27404,7 +29343,7 @@ split
 .
  They can be inserted via the menu 
 \family sans
-Insert\SpecialChar \menuseparator
+Insert\SpecialChar menuseparator
 Math
 \family default
  or by using the commands described in this section.
@@ -27415,10 +29354,13 @@ The first three have the same properties as the corresponding multiline
  formula environments, but it is possible to set further formula parts beside
  them.
  An example:
-\begin_inset Formula \[
+\begin_inset Formula 
+\[
 \left.\begin{aligned}\Delta x\Delta p & \ge\frac{\hbar}{2}\\
-\Delta E\Delta t & \ge\frac{\hbar}{2}\end{aligned}
-\right\} \textrm{Uncertainty relations}\]
+\Delta E\Delta t & \ge\frac{\hbar}{2}
+\end{aligned}
+\right\} \textrm{Uncertainty relations}
+\]
 
 \end_inset
 
@@ -27431,13 +29373,19 @@ To get this formula, a displayed formula is created where the command
 
 \backslash
 aligned
-\begin_inset LatexCommand index
-name "Commands ! A ! \\textbackslash aligned"
-
-\end_inset
+\series default
 
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! A ! 
+\backslash
+aligned
+\end_layout
+
+\end_inset
 
-\series default
  is inserted.
  A purple box appears around the blue formula box where now columns and
  lines can be added.
@@ -27451,15 +29399,18 @@ The aligned environment is also suitable for long formulas whose lines are
  Using aligned in a displayed formula has the advantage that the formula
  number is vertically centered behind the lines.
  As example formula 
-\begin_inset LatexCommand eqref
-reference "eq:kurzlang"
+\begin_inset CommandInset ref
+LatexCommand eqref
+reference "eq:shortlong"
 
 \end_inset
 
  in the aligned environment:
-\begin_inset Formula \begin{equation}
+\begin_inset Formula 
+\begin{equation}
 \begin{aligned}H=\; & W_{SB}+W_{mv}+W_{D}-\frac{\hbar^{2}}{2m_{0}}\Delta-\frac{\hbar^{2}}{2m_{1}}\Delta_{1}-\frac{\hbar^{2}}{2m_{2}}\Delta_{2}-\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{1}|}\\
- & -\hspace{3pt}\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{2}|}+\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{R}_{1}-\mathbf{R}_{2}|}\end{aligned}
+ & -\hspace{3pt}\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{2}|}+\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{R}_{1}-\mathbf{R}_{2}|}
+\end{aligned}
 \end{equation}
 
 \end_inset
@@ -27487,8 +29438,14 @@ split
 alignedat
 \series default
 ,
-\begin_inset LatexCommand index
-name "Commands ! A ! \\textbackslash alignedat"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! A ! 
+\backslash
+alignedat
+\end_layout
 
 \end_inset
 
@@ -27499,8 +29456,14 @@ name "Commands ! A ! \\textbackslash alignedat"
 gathered
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! G ! \\textbackslash gathered"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! G ! 
+\backslash
+gathered
+\end_layout
 
 \end_inset
 
@@ -27511,8 +29474,14 @@ name "Commands ! G ! \\textbackslash gathered"
 split
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! S ! \\textbackslash split"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! S ! 
+\backslash
+split
+\end_layout
 
 \end_inset
 
@@ -27523,20 +29492,29 @@ name "Commands ! S ! \\textbackslash split"
 
 \begin_layout Subsection
 Text in multiline Formulas
-\begin_inset LatexCommand label
-name "sub:Text-in-multiline"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Text-in-multiline"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Text ! in formulas"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Text ! in formulas
+\end_layout
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Formula ! multiline ! text"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Formula ! multiline ! text
+\end_layout
 
 \end_inset
 
@@ -27552,13 +29530,19 @@ In the Align environments, and the multline and gather environment, text
 
 \backslash
 intertext
-\begin_inset LatexCommand index
-name "Commands ! I ! \\textbackslash intertext"
+\series default
 
-\end_inset
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! I ! 
+\backslash
+intertext
+\end_layout
 
+\end_inset
 
-\series default
  is used in the following scheme:
 \end_layout
 
@@ -27572,7 +29556,8 @@ intertext{text}
 
 \begin_layout Standard
 The text should not be longer than a line because it cannot be hyphenated.
- As LyX doesn't yet support 
+ As \SpecialChar LyX
+ doesn't yet support 
 \series bold
 
 \backslash
@@ -27588,9 +29573,89 @@ intertext
  must hereby be at the beginning of a line and appears in the output above
  this line.
  An example where the text was inserted at the beginning of the second line:
-\begin_inset Formula \begin{align}
+\begin_inset Formula 
+\begin{align}
+I & =a\sqrt{2}\int_{0}^{2\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\\
+\intertext{\text{integrand is symmetric to \ensuremath{\phi=\pi}, therefore}} & =2a\sqrt{2}\int_{0}^{\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi
+\end{align}
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+intertext
+\series default
+ always creates some vertical space between the text and the formula lines.
+ To avoid this space, set in the document settings under 
+\family sans
+Math
+\begin_inset space ~
+\end_inset
+
+Options
+\family default
+ for the package 
+\series bold
+mathtools
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Packages ! mathtools
+\end_layout
+
+\end_inset
+
+ the option 
+\family sans
+Load
+\begin_inset space ~
+\end_inset
+
+always
+\family default
+.
+ Then you can use the command 
+\series bold
+
+\backslash
+shortintertext
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! S ! 
+\backslash
+shortintertext
+\end_layout
+
+\end_inset
+
+ instead of 
+\series bold
+
+\backslash
+intertext
+\series default
+:
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula 
+\begin{align}
 I & =a\sqrt{2}\int_{0}^{2\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\\
-\intertext{\text{integrand is symmetric to $\phi=\pi$, therefore}} & =2a\sqrt{2}\int_{0}^{\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\end{align}
+\shortintertext{\text{integrand is symmetric to \ensuremath{\phi=\pi}, therefore}} & =2a\sqrt{2}\int_{0}^{\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi
+\end{align}
 
 \end_inset
 
@@ -27599,14 +29664,44 @@ I & =a\sqrt{2}\int_{0}^{2\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\\
 
 \begin_layout Section
 Formula Numbering
-\begin_inset LatexCommand index
-name "Formula numbering"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Formula numbering
+\end_layout
+
+\end_inset
+
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Formula ! numbering|see
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+{
+\end_layout
+
+\end_inset
+
+Formula numbering
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+}
+\end_layout
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Formula ! numbering|see{Formula numbering}"
+\end_layout
 
 \end_inset
 
@@ -27620,31 +29715,42 @@ General
 \begin_layout Standard
 Numbered formulas can be created with the menu 
 \family sans
-Insert\SpecialChar \menuseparator
-Math\SpecialChar \menuseparator
-Numbered\InsetSpace ~
+Insert\SpecialChar menuseparator
+Math\SpecialChar menuseparator
+Numbered
+\begin_inset space ~
+\end_inset
+
 Formula
 \family default
  (shortcut 
 \family sans
-Ctrl-Alt\InsetSpace ~
-n
+Ctrl+Alt
+\begin_inset space ~
+\end_inset
+
+N
 \family default
 ).
  Existing formulas can be numbered with the menu 
 \family sans
-Edit\SpecialChar \menuseparator
-Math\SpecialChar \menuseparator
-Toggle\InsetSpace ~
+Edit\SpecialChar menuseparator
+Math\SpecialChar menuseparator
+Toggle
+\begin_inset space ~
+\end_inset
+
 Numbering
 \family default
  (shortcut 
-\family sans
-Alt-m\InsetSpace ~
-n
-\family default
+\begin_inset Info
+type  "shortcut"
+arg   "math-number-toggle"
+\end_inset
+
 ).
- The formula number is displayed in LyX behind the formula as number sign
+ The formula number is displayed in \SpecialChar LyX
+ behind the formula as a number sign
  in parentheses.
  The number sign is replaced in the output by the formula number.
 \end_layout
 When numbering is turned on in multiline formulas, all lines will be numbered.
  But the numbering can be controlled with the menu 
 \family sans
-Edit\SpecialChar \menuseparator
-Math\SpecialChar \menuseparator
-Toggle\InsetSpace ~
-Numbering\InsetSpace ~
-of\InsetSpace ~
+Edit\SpecialChar menuseparator
+Math\SpecialChar menuseparator
+Toggle
+\begin_inset space ~
+\end_inset
+
+Numbering
+\begin_inset space ~
+\end_inset
+
+of
+\begin_inset space ~
+\end_inset
+
 Line
 \family default
  (shortcut 
-\family sans
-Alt-m\InsetSpace ~
-N
-\family default
+\begin_inset Info
+type  "shortcut"
+arg   "math-number-line-toggle"
+\end_inset
+
 ) for every line.
 \end_layout
 
 \begin_layout Standard
-Except of inline formulas, all formulas can be numbered with two different
+Except for inline formulas, all formulas can be numbered with two different
  styles, see 
-\begin_inset LatexCommand ref
+\begin_inset CommandInset ref
+LatexCommand ref
 reference "sec:Formula-Styles"
 
 \end_inset
@@ -27681,14 +29798,12 @@ reference "sec:Formula-Styles"
 
 \begin_layout Subsection
 Cross-References
-\begin_inset LatexCommand label
-name "sub:Cross-References"
-
-\end_inset
-
+\begin_inset Index idx
+status collapsed
 
-\begin_inset LatexCommand index
-name "Cross-references ! to formulas"
+\begin_layout Plain Layout
+Cross-references ! to formulas
+\end_layout
 
 \end_inset
 
@@ -27699,18 +29814,22 @@ name "Cross-references ! to formulas"
 All labeled formulas can be cross-referenced.
  A label is added by the menu 
 \family sans
-Insert\SpecialChar \menuseparator
+Insert\SpecialChar menuseparator
 Label
 \family default
  or the toolbar button 
-\begin_inset Graphics
-       filename ../images/label-insert.png
-       scale 85
-
+\begin_inset Info
+type  "icon"
+arg   "label-insert"
 \end_inset
 
 .
  The cursor must hereby be inside a displayed formula.
+ Alternatively you can right-click on the formula and choose 
+\family sans
+Equation Label
+\family default
+.
  A dialog pops up displaying the prefix 
 \series bold
 eq:
@@ -27726,60 +29845,43 @@ equation
 \end_inset
 
  and makes it easier to find labels in large documents because it marks
- it as formula label to divide it from e.\InsetSpace \thinspace{}
-g.\InsetSpace ~
+ it as formula label to divide it from e.
+\begin_inset space \thinspace{}
+\end_inset
+
+g.
+\begin_inset space \space{}
+\end_inset
+
 section labels.
  To change a label, the menu 
 \family sans
-Insert\SpecialChar \menuseparator
+Insert\SpecialChar menuseparator
 Label
 \family default
- is used again.
+ is used again or you right-click on a formula and then on 
+\family sans
+Equation Label
+\family default
+.
 \end_layout
 
 \begin_layout Standard
-The name of the label is displayed in LyX within two parentheses behind
- formula.
+The name of the label is displayed in \SpecialChar LyX
within two parentheses behind formula.
  A formula with a label is always numbered.
- The label is deleted when the numbering is turned off.
- This is at the moment the only way to delete a label, see 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-href{http://bugzilla.lyx.org/show_bug.cgi?id=2556}{
-\end_layout
-
-\end_inset
-
-LyX-bug #2556
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-}
-\end_layout
-
-\end_inset
-
-.
 \end_layout
 
 \begin_layout Standard
 Cross-references are inserted via the menu 
 \family sans
-Insert\SpecialChar \menuseparator
+Insert\SpecialChar menuseparator
 Cross-Reference
 \family default
  or with the toolbar button 
-\begin_inset Graphics
-       filename ../images/dialog-show-new-inset_ref.png
-       scale 85
-
+\begin_inset Info
+type  "icon"
+arg   "dialog-show-new-inset ref"
 \end_inset
 
 .
@@ -27790,9 +29892,12 @@ Cross-Reference
 \series default
  is chosen, the cross-reference appears in the output as formula number
  in parentheses.
-\newline
-By right-clicking on a cross-reference in LyX, one jumps
- to the formula that is referenced.
+\begin_inset Newline newline
+\end_inset
+
+By right-clicking on a cross-reference in \SpecialChar LyX
+, one jumps to the formula that
+ is referenced.
 \end_layout
 
 \begin_layout Standard
@@ -27800,7 +29905,7 @@ Here are as examples cross-references to formulas of the following subsections:
 \begin_inset Note Note
 status open
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Note the different cross-reference types.
 \end_layout
 
@@ -27811,26 +29916,30 @@ Note the different cross-reference types.
 
 \begin_layout Standard
 The equations 
-\begin_inset LatexCommand eqref
+\begin_inset CommandInset ref
+LatexCommand eqref
 reference "eq:tag"
 
 \end_inset
 
  and 
-\begin_inset LatexCommand eqref
+\begin_inset CommandInset ref
+LatexCommand eqref
 reference "eq:c"
 
 \end_inset
 
  are equivalent.
  In (
-\begin_inset LatexCommand ref
+\begin_inset CommandInset ref
+LatexCommand ref
 reference "eq:Lat"
 
 \end_inset
 
 ) big Latin letters are used for the numbering in contrary to (
-\begin_inset LatexCommand ref
+\begin_inset CommandInset ref
+LatexCommand ref
 reference "eq:Rom"
 
 \end_inset
@@ -27850,7 +29959,7 @@ tag
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \series bold
 
@@ -27858,8 +29967,9 @@ status collapsed
 tag
 \series default
  is described in 
-\begin_inset LatexCommand ref
-reference "sub:User-defined-Numbering"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:User-defined-Numbering"
 
 \end_inset
 
@@ -27871,8 +29981,9 @@ reference "sub:User-defined-Numbering"
 
 \series default
  contains a box like in 
-\begin_inset LatexCommand ref
-reference "sub:Paragraph-Boxes"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Paragraph-Boxes"
 
 \end_inset
 
@@ -27881,8 +29992,12 @@ reference "sub:Paragraph-Boxes"
 
 \begin_layout Subsection
 Subnumbering
-\begin_inset LatexCommand index
-name "Formula numbering ! subnumbering"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Formula numbering ! subnumbering
+\end_layout
 
 \end_inset
 
@@ -27903,34 +30018,24 @@ begin{subequations}
 end{subequations}
 \series default
  formulas can be subnumbered.
- Both commands are inserted in TeX-mode.
+ Both commands are inserted in \SpecialChar TeX
+ mode.
 \end_layout
 
 \begin_layout Standard
 An example:
-\begin_inset Formula \begin{equation}
-A=C-B\label{eq:a}\end{equation}
-
-\end_inset
-
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-addtocounter{equation}{-1}
-\end_layout
+\begin_inset Formula 
+\begin{equation}
+A=C-B
+\end{equation}
 
 \end_inset
 
 
 \begin_inset ERT
-status collapsed
+status open
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -27944,14 +30049,18 @@ begin{subequations}
 \end_inset
 
 
-\begin_inset Formula \begin{equation}
-B=C-A\label{eq:b}\end{equation}
+\begin_inset Formula 
+\begin{equation}
+B=C-A\label{eq:b}
+\end{equation}
 
 \end_inset
 
 
-\begin_inset Formula \begin{equation}
-C=A+B\label{eq:c}\end{equation}
+\begin_inset Formula 
+\begin{equation}
+C=A+B\label{eq:c}
+\end{equation}
 
 \end_inset
 
@@ -27960,9 +30069,9 @@ C=A+B\label{eq:c}\end{equation}
 
 \begin_layout Standard
 \begin_inset ERT
-status collapsed
+status open
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -27986,18 +30095,12 @@ first formula is inserted
 
 \series bold
 
-\backslash
-addtocounter{equation}{-1} 
 \backslash
 begin{subequations}
-\begin_inset LatexCommand index
-name "Commands ! A ! \\textbackslash addtocounter"
-
+\begin_inset Newline newline
 \end_inset
 
 
-\newline
-
 \series default
 is inserted after the first formula
 \end_layout
@@ -28033,82 +30136,55 @@ begin
 \backslash
 end
 \series default
- is subnumbered as a, b, 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-linebreak 
-\end_layout
-
-\end_inset
-
-c, \SpecialChar \ldots{}
+ will be subnumbered with a, b, c, \SpecialChar ldots
+ in the output.
  For multiline formulas every line will be subnumbered.
- All subnumbered formulas are treated as 
-\emph on
-one
-\emph default
- numbered formula.
- But as every numbered formula increases the counter 
-\series bold
-equation
-\series default
- by one, the command 
-\series bold
-
-\backslash
-addtocounter
-\series default
- is needed to decrease it.
- Otherwise the formulas 
-\begin_inset LatexCommand eqref
-reference "eq:a"
-
-\end_inset
+\end_layout
 
-, 
-\begin_inset LatexCommand eqref
+\begin_layout Standard
+Referencing subequations work like for normal equations: 
+\begin_inset CommandInset ref
+LatexCommand eqref
 reference "eq:b"
 
 \end_inset
 
 , 
-\begin_inset LatexCommand eqref
+\begin_inset CommandInset ref
+LatexCommand eqref
 reference "eq:c"
 
 \end_inset
 
- would be numbered as 
-\begin_inset LatexCommand eqref
-reference "eq:a"
+.
+ If you want to reference the subequations collectively, insert a label
+ directly after
+\series bold
+\backslash
+begin{subequations}
+\series default
+ and reference it.
+ Formula 
+\begin_inset CommandInset ref
+LatexCommand eqref
+reference "eq:Here-is-an"
 
 \end_inset
 
-, 
-\begin_inset LatexCommand eqref
-reference "eq:d"
+ is an example.
+\end_layout
 
+\begin_layout Standard
+By inserting commands in \SpecialChar TeX
+ mode, a space is created between the first two
+ formulas.
+ To revert this -5
+\begin_inset space \thinspace{}
 \end_inset
 
-, 
-\begin_inset LatexCommand eqref
-reference "eq:f"
-
-\end_inset
-
-.
-\end_layout
-
-\begin_layout Standard
-By inserting the commands in TeX-mode, a space is created between the first
- two formulas.
- To revert this -5\InsetSpace \thinspace{}
-mm vertical space is inserted after the command 
-\series bold
+mm vertical space is inserted after the command 
+\series bold
 
 \backslash
 begin{subequations}
@@ -28120,9 +30196,10 @@ Indented
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 formula styles see 
-\begin_inset LatexCommand ref
+\begin_inset CommandInset ref
+LatexCommand ref
 reference "sec:Formula-Styles"
 
 \end_inset
@@ -28134,17 +30211,69 @@ reference "sec:Formula-Styles"
 
 
 \series default
- is used, -7\InsetSpace \thinspace{}
+ is used, -7
+\begin_inset space \thinspace{}
+\end_inset
+
 mm space is inserted instead.
 \end_layout
 
 \begin_layout Standard
-Here is an example for a multiline formula where the numbering was turned
- off for the second line:
+To get another subnumber instead of small Latin letters, insert this command
+ as TeX code after 
+\series bold
+
+\backslash
+begin{subequations}
+\series default
+:
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+renewcommand{
+\backslash
+theequation}{
+\backslash
+theparentequation -
+\backslash
+roman{equation}}
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+theparentequation
+\series default
+ creates hereby the parent number and 
+\series bold
+
+\backslash
+roman{equation}
+\series default
+ adds a small Roman number as subnumber.
+ For more information about the customization of the numbering, see 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Numbering-with-Roman"
+
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Standard
+Here is an example for a multiline formula where the numbering is customized
+ and turned off for the second line:
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -28154,10 +30283,38 @@ begin{subequations}
 \end_inset
 
 
-\begin_inset Formula \begin{eqnarray}
-A & = & (B-Z)^{2}=(B-Z)(B-Z)\label{eq:d}\\
- & = & B^{2}-ZB-BZ+Z^{²}\nonumber \\
- & = & B^{2}-2BZ+Z^{2}\label{eq:f}\end{eqnarray}
+\begin_inset CommandInset label
+LatexCommand label
+name "eq:Here-is-an"
+
+\end_inset
+
+
+\begin_inset ERT
+status open
+
+\begin_layout Plain Layout
+
+
+\backslash
+renewcommand{
+\backslash
+theequation}{
+\backslash
+theparentequation -
+\backslash
+roman{equation}}
+\end_layout
+
+\end_inset
+
+
+\begin_inset Formula 
+\begin{eqnarray}
+A & = & (B-Z)^{2}=(B-Z)(B-Z)\\
+ & = & B^{2}-ZB-BZ+Z^{2}\nonumber \\
+ & = & B^{2}-2BZ+Z^{2}
+\end{eqnarray}
 
 \end_inset
 
@@ -28165,7 +30322,7 @@ A & = & (B-Z)^{2}=(B-Z)(B-Z)\label{eq:d}\\
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -28179,14 +30336,19 @@ end{subequations}
 
 \begin_layout Subsection
 User-defined Numbering
-\begin_inset LatexCommand label
-name "sub:User-defined-Numbering"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:User-defined-Numbering"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Formula numbering ! user-defined"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Formula numbering ! user-defined
+\end_layout
 
 \end_inset
 
@@ -28194,14 +30356,19 @@ name "Formula numbering ! user-defined"
 \end_layout
 
 \begin_layout Standard
-\begin_inset LatexCommand index
-name "Formula numbering ! self-defined delimiters"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Formula numbering ! self-defined delimiters
+\end_layout
 
 \end_inset
 
 With the standard numbering parentheses are set around the formula number.
  To replace the parentheses for example by vertical bars, the following
- line is added to the LaTeX-preamble:
+ line is added to the \SpecialChar LaTeX
+-preamble:
 \end_layout
 
 \begin_layout Standard
@@ -28219,8 +30386,9 @@ maketag@@@{|#1|}}
 \begin_inset Note Note
 status collapsed
 
-\begin_layout Standard
-This macro is already declared in the LaTeX-preamble for testing.
+\begin_layout Plain Layout
+This macro is already declared in the \SpecialChar LaTeX
+-preamble for testing.
  To activate it, remove the percent sign at the beginning.
 \end_layout
 
@@ -28247,17 +30415,25 @@ When there should be an expression of your choice instead of the consecutive
 \series bold
 
 \backslash
-tag{expression}
+tag
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! T ! \\textbackslash tag"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! T ! 
+\backslash
+tag
+\end_layout
 
 \end_inset
 
  is used:
-\begin_inset Formula \begin{equation}
-A+B=C\tag{something}\label{eq:tag}\end{equation}
+\begin_inset Formula 
+\begin{equation}
+A+B=C\tag{something}\label{eq:tag}
+\end{equation}
 
 \end_inset
 
@@ -28266,10 +30442,12 @@ In this example the command
 
 \backslash
 tag
-\backslash
-{something
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+something
 \series default
- was inserted to the formula.
+ was inserted in the formula.
 \end_layout
 
 \begin_layout Standard
@@ -28278,12 +30456,16 @@ When the command
 
 \backslash
 tag*
-\backslash
-{something
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+something
 \series default
  is inserted instead, the star prevents the parentheses around the expression:
-\begin_inset Formula \[
-A+B=C\tag*{something}\]
+\begin_inset Formula 
+\[
+A+B=C\tag*{something}
+\]
 
 \end_inset
 
@@ -28306,15 +30488,69 @@ To restart the formula numbering with new document parts or sections, the
 @addtoreset{equation}{part}
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! \"@\" ! \\textbackslash \"@\"addtoreset"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! 
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+"
+\end_layout
+
+\end_inset
+
+@
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+"
+\end_layout
+
+\end_inset
+
+ ! 
+\backslash
+
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+"
+\end_layout
+
+\end_inset
+
+@
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+"
+\end_layout
+
+\end_inset
+
+addtoreset
+\end_layout
 
 \end_inset
 
 
-\newline
+\begin_inset Newline newline
+\end_inset
+
 resp.
-\newline
+\begin_inset Newline newline
+\end_inset
+
 
 \series bold
 
@@ -28323,7 +30559,8 @@ resp.
 \end_layout
 
 \begin_layout Standard
-To be able to use these commands in TeX-mode, the 
+To be able to use these commands in \SpecialChar TeX
+ mode, the 
 \begin_inset Quotes eld
 \end_inset
 
@@ -28339,7 +30576,8 @@ active
 \begin_inset Quotes erd
 \end_inset
 
- for LaTeX using the command 
+ for \SpecialChar LaTeX
+ using the command 
 \series bold
 
 \backslash
@@ -28353,7 +30591,8 @@ makeatletter.
 makeatother
 \series default
  reverts this.
- So the command sequence in TeX-mode is:
+ So the command sequence in \SpecialChar TeX
+ mode is:
 \end_layout
 
 \begin_layout Standard
@@ -28362,18 +30601,23 @@ makeatother
 
 \backslash
 makeatletter
-\newline
+\begin_inset Newline newline
+\end_inset
+
 
 \backslash
 @addtoreset{equation}{section}
-\newline
+\begin_inset Newline newline
+\end_inset
+
 
 \backslash
 makeatother
 \end_layout
 
 \begin_layout Standard
-In the LaTeX-preamble 
+In the \SpecialChar LaTeX
+-preamble 
 \series bold
 
 \backslash
@@ -28385,7 +30629,8 @@ makeatletter
 \backslash
 makeatother
 \series default
- can be omitted as they are automatically internally inserted by LyX.
+ can be omitted as they are automatically internally inserted by \SpecialChar LyX
+.
 \end_layout
 
 \begin_layout Standard
@@ -28403,33 +30648,44 @@ remreset.sty
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \series bold
 remreset
 \series default
- is part of the LaTeX-package 
+ is part of the \SpecialChar LaTeX
+-package 
 \series bold
 carlisle
 \series default
 
-\begin_inset LatexCommand index
-name "Packages ! carlisle"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Packages ! carlisle
+\end_layout
 
 \end_inset
 
- that is part of every LaTeX standard installation.
+ that is part of every \SpecialChar LaTeX
+ standard installation.
 \end_layout
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Packages ! remreset"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Packages ! remreset
+\end_layout
 
 \end_inset
 
- has to be loaded in the LaTeX-preamble with the line
+ has to be loaded in the \SpecialChar LaTeX
+-preamble with the line
 \end_layout
 
 \begin_layout Standard
@@ -28448,8 +30704,58 @@ Then the command
 @removefromreset
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! \"@\" ! \\textbackslash \"@\"removefromreset"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! 
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+"
+\end_layout
+
+\end_inset
+
+@
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+"
+\end_layout
+
+\end_inset
+
+ ! 
+\backslash
+
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+"
+\end_layout
+
+\end_inset
+
+@
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+"
+\end_layout
+
+\end_inset
+
+removefromreset
+\end_layout
 
 \end_inset
 
@@ -28495,8 +30801,14 @@ For this case there is the command
 numberwithin
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! N ! \\textbackslash numberwithin"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! N ! 
+\backslash
+numberwithin
+\end_layout
 
 \end_inset
 
@@ -28517,7 +30829,9 @@ Counter denotes what kind of numbering is affected, sectioning denotes what
 \end_layout
 
 \begin_layout Standard
-Thus in our case the following LaTeX-preamble or ERT line is used:
+Thus in our case the following \SpecialChar LaTeX
+ preamble or \SpecialChar TeX
+ code line is used:
 \end_layout
 
 \begin_layout Standard
@@ -28533,7 +30847,7 @@ This is the result:
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -28543,8 +30857,10 @@ numberwithin{equation}{section}
 \end_inset
 
 
-\begin_inset Formula \begin{equation}
-A+B=C\end{equation}
+\begin_inset Formula 
+\begin{equation}
+A+B=C
+\end{equation}
 
 \end_inset
 
@@ -28552,10 +30868,18 @@ A+B=C\end{equation}
 \end_layout
 
 \begin_layout Standard
-To number e.\InsetSpace \thinspace{}
-g.\InsetSpace ~
+To number e.
+\begin_inset space \thinspace{}
+\end_inset
+
+g.
+\begin_inset space \space{}
+\end_inset
+
 tables so that the number of the part is the sectioning,
-\newline
+\begin_inset Newline newline
+\end_inset
+
 
 \series bold
 
@@ -28568,7 +30892,9 @@ numberwithin{table}{part}
 \begin_layout Standard
 To go back to the standard numbering or to prevent this kind of numbering
  when it is defined by the document class, the following command is inserted
- as ERT or to the LaTeX-preamble:
+ as \SpecialChar TeX
+ code or to the \SpecialChar LaTeX
+ preamble:
 \end_layout
 
 \begin_layout Standard
@@ -28581,8 +30907,14 @@ renewcommand{
 theequation}{
 \backslash
 arabic{equation}}
-\begin_inset LatexCommand index
-name "Commands ! A ! \\textbackslash arabic"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! A ! 
+\backslash
+arabic
+\end_layout
 
 \end_inset
 
@@ -28592,7 +30924,7 @@ name "Commands ! A ! \\textbackslash arabic"
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -28608,13 +30940,17 @@ arabic{equation}}
 
 \series bold
 
-\newline
+\begin_inset Newline newline
+\end_inset
+
 
 \series default
 or
 \series bold
 
-\newline
+\begin_inset Newline newline
+\end_inset
+
 
 \backslash
 renewcommand{
@@ -28641,21 +30977,21 @@ numberwithin
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
 makeatletter
 \end_layout
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
 @removefromreset{equation}{section}
 \end_layout
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -28665,24 +31001,40 @@ makeatother
 \end_inset
 
 
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
 \end_layout
 
 \begin_layout Subsection
 Numbering with Roman Numbers and Letters
-\begin_inset LatexCommand label
-name "sub:Numbering-with-Roman"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Numbering-with-Roman"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Formula numbering ! with letters"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Formula numbering ! with letters
+\end_layout
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Formula numbering ! with Roman numbers"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Formula numbering ! with Roman numbers
+\end_layout
 
 \end_inset
 
@@ -28707,7 +31059,8 @@ roman{equation}}
 \end_layout
 
 \begin_layout Standard
-is inserted before the formula in TeX-mode.
+is inserted before the formula in \SpecialChar TeX
+ mode.
  
 \series bold
 
@@ -28715,8 +31068,14 @@ is inserted before the formula in TeX-mode.
 renewcommand
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! R ! \\textbackslash renewcommand"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! R ! 
+\backslash
+renewcommand
+\end_layout
 
 \end_inset
 
@@ -28732,11 +31091,11 @@ theequation
 \backslash
 roman{equation}
 \series default
-
+.
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 The command 
 \series bold
 
@@ -28750,8 +31109,9 @@ renewcommand
 newcommand
 \series default
  that is described in 
-\begin_inset LatexCommand ref
-reference "sec:User-defined-commands"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:The-Command-newcommand"
 
 \end_inset
 
@@ -28760,7 +31120,6 @@ reference "sec:User-defined-commands"
 
 \end_inset
 
-.
  
 \series bold
 equation
@@ -28774,7 +31133,8 @@ the
 \series default
  is used as prefix for a counter, the value of the counter is output as
  Arabic number.
- When a formula is numbered, LaTeX sets internally the command 
+ When a formula is numbered, \SpecialChar LaTeX
+ sets internally the command 
 \series bold
 
 \backslash
@@ -28786,8 +31146,14 @@ theequation
 
 \backslash
 roman{equation}
-\begin_inset LatexCommand index
-name "Commands ! R ! \\textbackslash roman"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! R ! 
+\backslash
+roman
+\end_layout
 
 \end_inset
 
@@ -28822,8 +31188,16 @@ roman
 Roman
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! R ! \\textbackslash roman@\\textbackslash Roman"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! R ! 
+\backslash
+roman@
+\backslash
+Roman
+\end_layout
 
 \end_inset
 
@@ -28843,8 +31217,14 @@ number
 alph
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! A ! \\textbackslash alph"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! A ! 
+\backslash
+alph
+\end_layout
 
 \end_inset
 
@@ -28855,8 +31235,16 @@ name "Commands ! A ! \\textbackslash alph"
 Alph
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! A ! \\textbackslash alph@\\textbackslash Alph"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! A ! 
+\backslash
+alph@
+\backslash
+Alph
+\end_layout
 
 \end_inset
 
@@ -28867,12 +31255,17 @@ name "Commands ! A ! \\textbackslash alph@\\textbackslash Alph"
 \begin_inset Note Greyedout
 status open
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \series bold
+\color none
 Note:
 \series default
- Only maximal 26 formulas can be numbered with Latin letters in one document.
+ Only maximal 26
+\begin_inset space ~
+\end_inset
+
+formulas can be numbered with Latin letters in one document.
 \end_layout
 
 \end_inset
@@ -28884,7 +31277,7 @@ Note:
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -28901,8 +31294,10 @@ roman{equation}}
 \end_layout
 
 \begin_layout Standard
-\begin_inset Formula \begin{equation}
-A=\textrm{small roman}\label{eq:rom}\end{equation}
+\begin_inset Formula 
+\begin{equation}
+A=\textrm{small roman}
+\end{equation}
 
 \end_inset
 
@@ -28910,7 +31305,7 @@ A=\textrm{small roman}\label{eq:rom}\end{equation}
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -28924,8 +31319,10 @@ Roman{equation}}
 \end_inset
 
 
-\begin_inset Formula \begin{equation}
-B=\textrm{big Roman}\label{eq:Rom}\end{equation}
+\begin_inset Formula 
+\begin{equation}
+B=\textrm{big Roman}\label{eq:Rom}
+\end{equation}
 
 \end_inset
 
@@ -28933,7 +31330,7 @@ B=\textrm{big Roman}\label{eq:Rom}\end{equation}
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -28947,8 +31344,10 @@ alph{equation}}
 \end_inset
 
 
-\begin_inset Formula \begin{equation}
-C=\textrm{small Latin}\label{eq:lat}\end{equation}
+\begin_inset Formula 
+\begin{equation}
+C=\textrm{small Latin}
+\end{equation}
 
 \end_inset
 
@@ -28956,7 +31355,7 @@ C=\textrm{small Latin}\label{eq:lat}\end{equation}
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -28970,8 +31369,10 @@ Alph{equation}}
 \end_inset
 
 
-\begin_inset Formula \begin{equation}
-D=\textrm{big Latin}\label{eq:Lat}\end{equation}
+\begin_inset Formula 
+\begin{equation}
+D=\textrm{big Latin}\label{eq:Lat}
+\end{equation}
 
 \end_inset
 
@@ -28992,8 +31393,14 @@ renewcommand{
 theequation}{
 \backslash
 arabic{equation}}
-\begin_inset LatexCommand index
-name "Commands ! A ! \\textbackslash arabic"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! A ! 
+\backslash
+arabic
+\end_layout
 
 \end_inset
 
@@ -29004,7 +31411,7 @@ name "Commands ! A ! \\textbackslash arabic"
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -29018,8 +31425,10 @@ arabic{equation}}
 \end_inset
 
 
-\begin_inset Formula \begin{equation}
-E=\textrm{Arabic}\label{eq:arab}\end{equation}
+\begin_inset Formula 
+\begin{equation}
+E=\textrm{Arabic}
+\end{equation}
 
 \end_inset
 
@@ -29042,47 +31451,50 @@ As you see, formulas are numbered serially independent from the numbering
 
  when the style is changed, new equation counters have to be defined.
  A description about this can be found in the file 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
+\begin_inset CommandInset href
+LatexCommand href
+name "Formula-numbering.lyx"
+target "run:Formula-numbering.lyx"
 
+\end_inset
 
-\backslash
-href{Formula-numbering.pdf}{
+.
 \end_layout
 
+\begin_layout Section
+Chemical Symbols and Equations
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Chemical-Symbols-and"
+
 \end_inset
 
-Formula-numbering.pdf
-\begin_inset ERT
-status collapsed
 
-\begin_layout Standard
+\begin_inset Index idx
+status collapsed
 
-}
+\begin_layout Plain Layout
+Chemical characters ! Symbols
 \end_layout
 
 \end_inset
 
-.
-\begin_inset Note Note
-status collapsed
 
-\begin_layout Standard
-More about the command 
-\series bold
+\begin_inset Index idx
+status collapsed
 
-\backslash
-href
-\series default
-, see section 
-\begin_inset LatexCommand ref
-reference "sub:Links-in-DVI-"
+\begin_layout Plain Layout
+Chemical equations
+\end_layout
 
 \end_inset
 
 
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Symbols ! chemical
 \end_layout
 
 \end_inset
@@ -29090,16 +31502,29 @@ reference "sub:Links-in-DVI-"
 
 \end_layout
 
-\begin_layout Section
-User-defined commands
-\begin_inset LatexCommand label
-name "sec:User-defined-commands"
+\begin_layout Standard
+An example text from chemistry:
+\end_layout
+
+\begin_layout Quote
+The 
+\begin_inset Formula $\mathrm{SO_{4}^{2-}}$
+\end_inset
 
+-ion reacts with two 
+\begin_inset Formula $\mathrm{Na^{+}}$
 \end_inset
 
+-ions to sodium sulfate 
+\begin_inset Formula $\left(\mathrm{Na_{2}SO_{4}}\right)$
+\end_inset
 
-\begin_inset LatexCommand index
-name "User-defined commands"
+.
+ The chemical equation for this is:
+\begin_inset Formula 
+\begin{equation}
+\mathrm{2\,Na^{+}+SO_{4}^{2-}\longrightarrow Na_{2}SO_{4}}\label{eq:chem-reaction}
+\end{equation}
 
 \end_inset
 
@@ -29107,650 +31532,2185 @@ name "User-defined commands"
 \end_layout
 
 \begin_layout Standard
-Many LaTeX-commands are too long to be used frequently.
- But it is possible to define with the command 
-\series bold
+This chemical equation can directly be created as formula.
+ To avoid that the symbols appear italic, everything is highlighted and
+ changed by the shortcut 
+\begin_inset Info
+type  "shortcut"
+arg   "font-roman"
+\end_inset
 
-\backslash
-newcommand
+ to the upright font style.
+\begin_inset Foot
+status collapsed
+
+\begin_layout Plain Layout
+font styles
+\series bold
 \series default
+see 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Font-Styles"
+
+\end_inset
 
-\begin_inset LatexCommand index
-name "Commands ! N ! \\textbackslash newcommand"
+
+\end_layout
 
 \end_inset
 
- new shorter commands.
+
 \end_layout
 
 \begin_layout Standard
-The command scheme of 
+A more convenient way to typeset chemical formulas is to use the command
 \series bold
 
 \backslash
-newcommand
+ce
 \series default
- is:
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! C ! 
+\backslash
+ce
 \end_layout
 
-\begin_layout Standard
+\end_inset
 
+ that is available when the \SpecialChar LaTeX
+-package 
 \series bold
-
-\backslash
-newcommand{new command name}[number of arguments][optional
+mhchem
 \series default
-\series bold
-value]
-\newline
 
-\begin_inset ERT
+\begin_inset Index idx
 status collapsed
 
-\begin_layout Standard
-
-
-\backslash
-phantom{
+\begin_layout Plain Layout
+Packages ! mhchem
 \end_layout
 
 \end_inset
 
+ is installed.
+ After inserting 
+\series bold
 
 \backslash
-newcommand
-\begin_inset ERT
-status collapsed
+ce
+\series default
+ to a formula a new blue box appears where chemical formulas can be inserted
+ in an intuitive way.
+\end_layout
 
 \begin_layout Standard
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="10" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
 
-}
+\begin_layout Plain Layout
+Command
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
 
-{command definition}
+\begin_layout Plain Layout
+Result
 \end_layout
 
-\begin_layout Standard
-\begin_inset Note Greyedout
-status open
-
-\begin_layout Standard
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
+\begin_inset Text
 
-\series bold
-Note:
-\series default
- Assure that the name of the new command is not already used in your document
- or by LaTeX-packages that you use.
- When you for example define the command 
-\series bold
+\begin_layout Plain Layout
 
 \backslash
-le
-\series default
- for 
-\series bold
+ce
+\begin_inset space \textvisiblespace{}
+\end_inset
 
-\backslash
-Leftarrow
-\series default
-, you get an error message because 
-\series bold
+H2CO3
+\end_layout
 
-\backslash
-le
-\series default
- is already defined as command for 
-\begin_inset Quotes eld
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\ce{H2CO3}$
 \end_inset
 
 
-\begin_inset Formula $\le$
+\end_layout
+
 \end_inset
+</cell>
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
 
-\begin_inset Quotes erd
+\backslash
+ce
+\begin_inset space \textvisiblespace{}
 \end_inset
 
-.
+SO4^2-
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\ce{SO4^{2-}}$
+\end_inset
 
 
 \end_layout
 
-\begin_layout Standard
-\begin_inset Note Greyedout
-status open
+\end_inset
+</cell>
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
-\series bold
-Note:
-\series default
- The names of user-defined commands may only consist of Latin letters.
+\backslash
+ce
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+(NH4)2S
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
+\begin_inset Formula $\ce{(NH4)2S}$
+\end_inset
 
-\end_layout
 
-\begin_layout Standard
-The number of arguments is an integer in the range 0\InsetSpace \thinspace{}
--\InsetSpace \thinspace{}
-9 and specifies how
- many arguments the new command should have.
- With the optional value a value for an optional argument can be predefined.
- When this is done, the 
-\emph on
-first
-\emph default
-\emph on
-a
-\emph default
-rgument of the new command is automatically an optional one.
 \end_layout
 
-\begin_layout Standard
-Here are some examples:
-\end_layout
+\end_inset
+</cell>
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
-\begin_layout Itemize
-To define the command 
-\series bold
+\begin_layout Plain Layout
 
 \backslash
-gr
-\series default
- for 
-\series bold
+ce
+\begin_inset space \textvisiblespace{}
+\end_inset
 
-\backslash
-Longrightarrow
-\series default
-, the LaTeX-preamble line is:
-\begin_inset ERT
-status collapsed
+KCr(SO4)2.12H2O
+\end_layout
 
-\begin_layout Standard
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\ce{KCr(SO4)2.12H2O}$
+\end_inset
 
 
-\backslash
-medskip
 \end_layout
 
 \end_inset
+</cell>
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
-
-\series bold
-
-\newline
+\begin_layout Plain Layout
 
 \backslash
-newcommand{
+ce
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A-B
 \backslash
-gr}{
+dbond
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+C
 \backslash
-Longrightarrow}
+tbond
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+D
 \end_layout
 
-\begin_layout Itemize
-To define the command 
-\series bold
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\ce{A-B\dbond C\tbond D}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
 
 \backslash
-us
-\series default
- for 
-\series bold
+ce
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+^227
+\begin_inset Formula $\downarrow$
+\end_inset
+
+_90
+\begin_inset Formula $\to$
+\end_inset
+
+Th+
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\ce{_{90}^{227}Th+}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
 
 \backslash
-underline
-\series default
-, the argument (that should be underlined) must be taken into account.
- For this the preamble line is:
-\begin_inset ERT
-status collapsed
+ce
+\begin_inset space \textvisiblespace{}
+\end_inset
 
-\begin_layout Standard
 
+\backslash
+mu
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\backslash
+hyphen
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+Cl
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\ce{\ensuremath{\mu\hyphen}Cl}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
 
 \backslash
-medskip
+ce
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+CO2
+\begin_inset space \textvisiblespace{}
+\end_inset
+
++
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+C
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+<=>
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+2CO
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\ce{CO2 + C <=> 2CO}$
+\end_inset
 
 
-\series bold
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
+\begin_inset Text
 
-\newline
+\begin_layout Plain Layout
 
 \backslash
-newcommand{
+ce
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+CO2
+\begin_inset space \textvisiblespace{}
+\end_inset
+
++
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+C
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+->[
 \backslash
-us}[1]{
+alpha][
 \backslash
-underline{#1}}
+beta]
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+2CO}
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\ce{CO2 + C ->[\alpha][\beta] 2CO}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Note Greyedout
+status open
+
+\begin_layout Plain Layout
+
+\series bold
+\color none
+Note:
+\series default
+ It is not possible in \SpecialChar LyX
+ to use the character ^ to get an up-arrow as described
+ in the 
+\series bold
+mhchem
 \series default
+ manual.
+ One instead uses a negative thin space followed by the command 
+\series bold
 
-\begin_inset ERT
-status collapsed
+\backslash
+uparrow
+\series default
+: 
+\begin_inset Formula $\ce{Fe + 2H+ -> Fe^{2+} + H2\negthinspace\uparrow}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\end_layout
 
 \begin_layout Standard
+Using 
+\series bold
+
+\backslash
+ce
+\series default
+ the command for equation
+\begin_inset space ~
+\end_inset
 
 
+\begin_inset CommandInset ref
+LatexCommand eqref
+reference "eq:chem-reaction"
+
+\end_inset
+
+ is:
+\begin_inset Newline newline
+\end_inset
+
+
+\series bold
 \backslash
-medskip
+ce
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+2Na+
+\begin_inset space \textvisiblespace{}
+\end_inset
+
++
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+SO4^2-
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+->
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+Na2SO4
 \end_layout
 
+\begin_layout Standard
+To create multiline chemical equations first a multiline formula is created
+ as described in 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sec:Multiline-Formulas"
+
+\end_inset
+
+.
+ Afterwards the command 
+\series bold
+
+\backslash
+ce
+\series default
+ is used in every small blue box of the formula.
+\begin_inset CommandInset ref
+LatexCommand eqref
+reference "eq:TEOS-reaction-1"
+
+\end_inset
+
+ and 
+\begin_inset CommandInset ref
+LatexCommand eqref
+reference "eq:TEOS-reaction-2"
+
+\end_inset
+
+ are an example of a multi-stage chemical reaction where every equation
+ has its own number.
+\begin_inset Formula 
+\begin{eqnarray}
+\ce{TEOS + 4O} & \ce{->} & \ce{Si(OH)4 + 4C2H4O}\label{eq:TEOS-reaction-1}\\
+\ce{Si(OH)4} & \ce{->} & \ce{SiO2 + 2H2O}\label{eq:TEOS-reaction-2}
+\end{eqnarray}
+
 \end_inset
 
 
+\end_layout
+
+\begin_layout Standard
+Besides 
 \series bold
 
-\newline
+\backslash
+ce
+\series default
+ the 
+\series bold
+mhchem
+\series default
+ package provides the command 
+\series bold
 
+\backslash
+cf
 \series default
-The character 
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! C ! 
+\backslash
+cf
+\end_layout
+
+\end_inset
+
+ that has to be used for special cases.
+ For more information about 
 \series bold
-#
+
+\backslash
+cf
 \series default
- acts as argument placeholder, the 
+ and more examples have a look at the documentation of 
 \series bold
-1
+mhchem
 \series default
- behind it denotes that it is the placeholder for the first argument.
+, 
+\begin_inset CommandInset citation
+LatexCommand cite
+key "mhchem"
+
+\end_inset
+
+.
 \end_layout
 
-\begin_layout Itemize
-For 
+\begin_layout Section
+Diagrams
+\end_layout
+
+\begin_layout Standard
+\SpecialChar LyX
+ supports two types of commutative diagrams: 
+\series bold
+amscd
+\series default
+ and 
+\series bold
+xymatrix
+\series default
+ that are explained in the following.
+\end_layout
+
+\begin_layout Subsection
+Amscd Diagrams
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Diagrams ! amscd
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Diagrams of this type visualize relations by vertical and horizontal lines
+ or arrows:
+\begin_inset Formula 
+\[
+\begin{CD}A@>>>B@>>>C\\
+@AAA@.@VVV\\
+F@<<<E@<<<D
+\end{CD}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+To get them, the command 
+\series bold
+
+\backslash
+CD
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! C ! 
+\backslash
+CD
+\end_layout
+
+\end_inset
+
+
+\series default
+ is inserted to a formula.
+ A blue box appears with two dashed lines where further commands can be
+ inserted.
+ With 
+\begin_inset Info
+type  "shortcut"
+arg   "newline-insert newline"
+\end_inset
+
+ a new line is created.
+ Horizontal relations are inserted in odd, vertical in even formula lines.
+\end_layout
+
+\begin_layout Standard
+To create the relations there are the following commands:
+\end_layout
+
+\begin_layout Itemize
+
+\series bold
+@<<<
+\series default
+ creates a left arrow, 
+\series bold
+@>>>
+\series default
+ a right arrow and 
+\series bold
+@=
+\series default
+ a long equal sign
+\end_layout
+
+\begin_layout Itemize
+
+\series bold
+@AAA
+\series default
+ creates an up arrow, 
+\series bold
+@VVV
+\series default
+ a down arrow and 
+\series bold
+@|
+\series default
+ a vertical equal sign
+\end_layout
+
+\begin_layout Itemize
+
+\series bold
+@.
+
+\series default
+ is a placeholder for non-existent relations
+\end_layout
+
+\begin_layout Standard
+All arrows can be labeled as follows:
+\end_layout
+
+\begin_layout Itemize
+If text inserted between the first and second < or >, resp., it is placed
+ above the arrow.
+ When it is inserted between the second and third one, it appears under
+ the arrow.
+\end_layout
+
+\begin_layout Itemize
+When text for vertical arrows is inserted between the first and second A
+ or V, resp., it is placed left beside the arrow.
+ When it is inserted between the second and third one, it appears right
+ beside the arrow.
+ If the text contains an A or V, these letters must be set into a \SpecialChar TeX
+ brace.
+\end_layout
+
+\begin_layout Standard
+As example a diagram with all possible relations:
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula 
+\[
+\begin{CD}A@>j>>B@>>k>C@=F\\
+@AmAA@.@VV{V}V@|\\
+D@<<j<E@>k>>F@=C
+\end{CD}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+The command for this is:
+\begin_inset Newline newline
+\end_inset
+
+
+\series bold
+
+\backslash
+CD
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A@>j>>B@>>k>C@=F Ctrl+Return
+\begin_inset Newline newline
+\end_inset
+
+
+\begin_inset Phantom HPhantom
+status open
+
+\begin_layout Plain Layout
+
+\series bold
+
+\backslash
+CD
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+@AmAA@.@VV
+\backslash
+{V
+\series default
+
+\begin_inset Formula $\to$
+\end_inset
+
+
+\series bold
+V@| Ctrl+Return
+\begin_inset Newline newline
+\end_inset
+
+
+\begin_inset Phantom HPhantom
+status open
+
+\begin_layout Plain Layout
+
+\series bold
+
+\backslash
+CD
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+D@<<j<E@>k>>F@=C
+\end_layout
+
+\begin_layout Subsection
+Xymatrix Diagrams
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Diagrams ! xymatrix
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+To be able to use xymatrices, the \SpecialChar LaTeX
+-package 
+\series bold
+xypic
+\series default
+ must be installed.
+ A xymatrix is created by inserting the command 
+\series bold
+
+\backslash
+xymatrix
+\series default
+ in a formula.
+ Then you are able to add new matrix columns and rows like for normal matrices,
+ see 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sec:Matrices"
+
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Standard
+In contrary to amscd diagrams, xymatrices supports diagonal and curved arrows,
+ and much more.
+ All possibilities to create commutative diagrams and decorations are explained
+ in detail in the 
+\emph on
+XY-pic manual
+\emph default
+ that you find in the menu 
+\family sans
+Help\SpecialChar menuseparator
+Specific
+\begin_inset space ~
+\end_inset
+
+Manuals
+\family default
+.
+\end_layout
+
+\begin_layout Subsection
+
+\noun on
+Feynman
+\noun default
+ Diagrams
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Diagrams ! Feynman
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+To be able to use 
+\noun on
+Feynman
+\noun default
+-diagrams, the \SpecialChar LaTeX
+-package 
+\series bold
+feyn
+\series default
+ must be installed.
+ A 
+\noun on
+Feynman
+\noun default
+-diagram is created by inserting the command 
+\series bold
+
+\backslash
+Diagram
+\series default
+ in a formula.
+ Then you are able to add new matrix columns and rows like for normal matrices,
+ see 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sec:Matrices"
+
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Standard
+Examples how to create 
+\noun on
+Feynman-
+\noun default
+diagrams in \SpecialChar LyX
+ is given in the 
+\emph on
+Feynman-diagram manual
+\emph default
+ that you find in the menu 
+\family sans
+Help\SpecialChar menuseparator
+Specific
+\begin_inset space ~
+\end_inset
+
+Manuals
+\family default
+.
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
+\begin_layout Section
+User-defined Commands
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+User-defined commands
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Note Greyedout
+status open
+
+\begin_layout Plain Layout
+
+\series bold
+Note:
+\series default
+ The names of user-defined commands and macros may only consist of Latin
+ letters.
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Subsection
+The Command 
+\backslash
+newcommand
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:The-Command-newcommand"
+
+\end_inset
+
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+User-defined commands ! 
+\backslash
+newcommand
+\end_layout
+
+\end_inset
+
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! N ! 
+\backslash
+newcommand
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Many \SpecialChar LaTeX
+-commands are too long to be used frequently.
+ But it is possible to define with the command 
+\series bold
+
+\backslash
+newcommand
+\series default
+ new shorter commands.
+\end_layout
+
+\begin_layout Standard
+The command scheme of 
+\series bold
+
+\backslash
+newcommand
+\series default
+ is:
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+newcommand{new command name}[number of arguments][optional
+\series default
+\series bold
+value]
+\begin_inset Newline newline
+\end_inset
+
+
+\begin_inset Phantom HPhantom
+status open
+
+\begin_layout Plain Layout
+
+\series bold
+
+\backslash
+newcommand
+\end_layout
+
+\end_inset
+
+{command definition}
+\end_layout
+
+\begin_layout Standard
+\begin_inset Note Greyedout
+status open
+
+\begin_layout Plain Layout
+
+\series bold
+Note:
+\series default
+ Assure that the name of the new command is not already used in your document
+ or by \SpecialChar LaTeX
+-packages that you use.
+ When you for example define the command 
+\series bold
+
+\backslash
+le
+\series default
+ for 
+\series bold
+
+\backslash
+Leftarrow
+\series default
+, you get an error message because 
+\series bold
+
+\backslash
+le
+\series default
+ is already defined as command for 
+\begin_inset Quotes eld
+\end_inset
+
+
+\begin_inset Formula $\le$
+\end_inset
+
+
+\begin_inset Quotes erd
+\end_inset
+
+.
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+The number of arguments is an integer in the range 0
+\begin_inset space \thinspace{}
+\end_inset
+
+-
+\begin_inset space \thinspace{}
+\end_inset
+
+9 and specifies how many arguments the new command should have.
+ With the optional value a value for an optional argument can be predefined.
+ When this is done, the 
+\emph on
+first
+\emph default
+\emph on
+a
+\emph default
+rgument of the new command is automatically an optional one.
+\end_layout
+
+\begin_layout Standard
+Here are some examples:
+\end_layout
+
+\begin_layout Itemize
+To define the command 
+\series bold
+
+\backslash
+gr
+\series default
+ for 
+\series bold
+
+\backslash
+Longrightarrow
+\series default
+, the \SpecialChar LaTeX
+-preamble line is:
+\begin_inset VSpace medskip
+\end_inset
+
+
+\begin_inset Newline newline
+\end_inset
+
+
+\series bold
+
+\backslash
+newcommand{
+\backslash
+gr}{
+\backslash
+Longrightarrow}
+\end_layout
+
+\begin_layout Itemize
+To define the command 
+\series bold
+
+\backslash
+us
+\series default
+ for 
+\series bold
+
+\backslash
+underline
+\series default
+, the argument (that should be underlined) must be taken into account.
+ For this the preamble line is:
+\begin_inset VSpace medskip
+\end_inset
+
+
+\begin_inset Newline newline
+\end_inset
+
+
+\series bold
+
+\backslash
+newcommand{
+\backslash
+us}[1]{
+\backslash
+underline{#1}}
+\series default
+
+\begin_inset VSpace medskip
+\end_inset
+
+
+\begin_inset Newline newline
+\end_inset
+
+The character 
+\series bold
+#
+\series default
+ acts as argument placeholder, the 
+\series bold
+1
+\series default
+ behind it denotes that it is the placeholder for the first argument.
+\end_layout
+
+\begin_layout Itemize
+For 
+\series bold
+
+\backslash
+framebox
+\series default
+ one can e.
+\begin_inset space \thinspace{}
+\end_inset
+
+g.
+\begin_inset space \space{}
+\end_inset
+
+define the command 
+\series bold
+
+\backslash
+fb
+\series default
+:
+\begin_inset VSpace medskip
+\end_inset
+
+
+\begin_inset Newline newline
+\end_inset
+
+
+\series bold
+
+\backslash
+newcommand{
+\backslash
+fb}[3]{
+\backslash
+framebox#1#2{$#3$}}
+\series default
+
+\begin_inset VSpace medskip
+\end_inset
+
+
+\begin_inset Newline newline
+\end_inset
+
+The two Dollar signs creates the extra formula needed for 
+\series bold
+
+\backslash
+framebox
+\series default
+, see 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Boxes-with-Frame"
+
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Itemize
+To create a new command for 
+\series bold
+
+\backslash
+fcolorbox
+\series default
+ where the color for the box need not be specified, the argument for the
+ color is defined optional:
+\begin_inset VSpace medskip
+\end_inset
+
+
+\begin_inset Newline newline
+\end_inset
+
+
+\series bold
+
+\backslash
+newcommand{
+\backslash
+cb}[3][white]{
+\backslash
+fcolorbox{#2}{#1}{$#3$}}
+\series default
+
+\begin_inset VSpace medskip
+\end_inset
+
+
+\begin_inset Newline newline
+\end_inset
+
+When the color is not specified when using 
+\series bold
+
+\backslash
+cb
+\series default
+, the predefined color 
+\series bold
+white
+\series default
+ will be used.
+\end_layout
+
+\begin_layout Standard
+A test of the new defined commands:
+\end_layout
+
+\begin_layout Standard
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="6" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Command
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Result
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+A
+\backslash
+gr
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+B
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $A\gr B$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+us{ABcd
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\us{ABcd}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row topspace="1mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+fb{[2cm]
+\begin_inset Formula $\to$
+\end_inset
+
+
+\backslash
+{
+\begin_inset Formula $\to$
+\end_inset
+
+
+\backslash
+{
+\backslash
+int
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A=B
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\fb{[2cm]}{}{\int A=B}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+cb{red
+\begin_inset Formula $\to$
+\end_inset
+
+
+\backslash
+{
+\backslash
+int
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A=B
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\cb{red}{\int A=B}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row topspace="1.5mm" bottomspace="1mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+cb[green]
+\backslash
+{red
+\begin_inset Formula $\to$
+\end_inset
+
+
+\backslash
+{
+\backslash
+int
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A=B
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\cb[green]{red}{\int A=B}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Subsection
+Math Macros
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+User-defined commands! Math macros
+\end_layout
+
+\end_inset
+
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Macros
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+User-defined commands are especially convenient for complex expressions.
+ When you are for example dealing with a document that has quadratic equations,
+ the same solution type occurs several times.
+ The general form of a quadratic equation is
+\begin_inset Formula 
+\[
+0=\lambda^{2}+p\lambda+q
+\]
+
+\end_inset
+
+The general form of the solution is
+\begin_inset Formula 
+\[
+\lambda_{1,2}=-\frac{p}{2}\pm\sqrt{\frac{p²}{4}-q}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+To define a command for the solution formula where only the three parameters
+\begin_inset Formula $\lambda$
+\end_inset
+
+, 
+\begin_inset Formula $p$
+\end_inset
+
+ and 
+\begin_inset Formula $q$
+\end_inset
+
+ need to be specified and the index of 
+\begin_inset Formula $\lambda$
+\end_inset
+
+ can be given optionally, the \SpecialChar LaTeX
+-preamble line is
+\begin_inset Newline newline
+\end_inset
+
+
 \series bold
 
 \backslash
-framebox
-\series default
- one can e.\InsetSpace \thinspace{}
-g.\InsetSpace ~
-define the command 
+newcommand{
+\backslash
+qG}[4][1,
+\backslash
+,2]{#2_{#1}=-
+\backslash
+frac{#3}{2}
+\backslash
+pm
+\begin_inset Newline newline
+\end_inset
+
+
+\begin_inset Phantom HPhantom
+status open
+
+\begin_layout Plain Layout
+
 \series bold
 
 \backslash
-fb
-\series default
-:
-\begin_inset ERT
-status collapsed
+newcommand
+\end_layout
 
-\begin_layout Standard
+\end_inset
 
 
 \backslash
-medskip
+sqrt{
+\backslash
+frac{#3^{2}}{4}-#4}}
 \end_layout
 
+\begin_layout Standard
+To create with this the solution formula, the command
+\begin_inset Newline newline
 \end_inset
 
 
 \series bold
 
-\newline
-
-\backslash
-newcommand{
 \backslash
-fb}[3]{
+qG{
 \backslash
-framebox#1#2{$#3$}}
-\series default
+lambda
+\begin_inset Formula $\to$
+\end_inset
 
-\begin_inset ERT
-status collapsed
 
-\begin_layout Standard
+\backslash
+{p
+\begin_inset Formula $\to$
+\end_inset
 
 
 \backslash
-medskip
+{q
+\series default
+ is inserted to a formula
+\series bold
+.
 \end_layout
 
+\begin_layout Standard
+The definition of the new command is unintuitive because one has to know
+ the schemes of all used \SpecialChar LaTeX
+ commands, e.
+\begin_inset space \thinspace{}
 \end_inset
 
+g.
+\begin_inset space \space{}
+\end_inset
 
+that a fraction is inserted in \SpecialChar LaTeX
+ as 
 \series bold
 
-\newline
-
+\backslash
+frac{numerator}{denominator}
 \series default
-The two Dollar signs creates the extra formula needed for 
+.
+ Furthermore one can easily forget a brace in the definition and cannot
+ see in \SpecialChar LyX
+ what the new command is doing.
+ To avoid these problems \SpecialChar LyX
+ offers the possibility to use math macros instead
+ of the command 
 \series bold
 
 \backslash
-framebox
+newcommand
 \series default
-, see 
-\begin_inset LatexCommand ref
-reference "sub:Boxes-with-Frame"
+.
+\end_layout
 
+\begin_layout Standard
+A math macro is created by using the menu 
+\family sans
+Insert\SpecialChar menuseparator
+Math\SpecialChar menuseparator
+Macro
+\family default
+ or the toolbar button 
+\begin_inset Info
+type  "icon"
+arg   "math-macro newmacroname_newcommand"
 \end_inset
 
 .
-\end_layout
+ The math macro toolbar appears together with the following box where the
+ macro is defined:
+\begin_inset Newline newline
+\end_inset
 
-\begin_layout Itemize
-To create a new command for 
-\series bold
 
-\backslash
-fcolorbox
-\series default
- where the color for the box needn't to be specified, the argument for the
- color is defined optional:
-\begin_inset ERT
-status collapsed
+\begin_inset space \hspace*{\fill}
+\end_inset
 
-\begin_layout Standard
 
+\begin_inset Graphics
+       filename clipart/macrobox.png
+       scale 75
 
-\backslash
-medskip
-\end_layout
+\end_inset
 
+
+\begin_inset space \hspace*{\fill}
 \end_inset
 
 
-\series bold
+\begin_inset Newline newline
+\end_inset
+
+
+\begin_inset FormulaMacro
+\newcommand{\qG}[4][1,\,2]{#2_{#1}=-\frac{#3}{2}\pm\sqrt{\frac{#3^{2}}{4}-#4}}
+\end_inset
 
-\newline
 
 \backslash
-newcommand{
-\backslash
-cb}[3][white]{
+newmacroname is the default name of the macro that should be changed to
+ something sensible.
+ The wanted formula is inserted in the first blue box.
+ An argument placeholder is inserted with the command 
+\series bold
+
 \backslash
-fcolorbox{#2}{#1}{$#3$}}
+#argumentnumber
 \series default
+, e.
+\begin_inset space \thinspace{}
+\end_inset
 
-\begin_inset ERT
-status collapsed
+g
+\begin_inset space \space{}
+\end_inset
 
-\begin_layout Standard
 
+\series bold
 
 \backslash
-medskip
-\end_layout
+#1
+\series default
+ or by using the macro toolbar button 
+\begin_inset Info
+type  "icon"
+arg   "math-macro-add-param"
+\end_inset
 
+.
+ Argument placeholders are displayed red.
+ A maximum of 9
+\begin_inset space ~
 \end_inset
 
+arguments are possible.
+ Optional arguments are created with the toolbar button 
+\begin_inset Info
+type  "icon"
+arg   "math-macro-add-optional-param"
+\end_inset
 
-\newline
-When the color is not specified when using 
+.
+ The first non-optional argument can be transformed to an optional one with
+ the toolbar button 
+\begin_inset Info
+type  "icon"
+arg   "math-macro-make-optional"
+\end_inset
+
+.
+ In the second blue box the appearance of the macro in \SpecialChar LyX
+ can be defined.
+ Normally you want to see it as it is defined, so the box is kept empty.
+ But when you have created a macro that needs lot of space on the screen,
+ you can insert in the box for example
+\begin_inset Newline newline
+\end_inset
+
+
+\series bold
+qG: 
+\backslash
+#1
+\series default
+\series bold
+,
+\series default
 \series bold
 
 \backslash
-cb
+#2
 \series default
-, the predefined color 
 \series bold
-white
+,
 \series default
- will be used.
-\end_layout
+\series bold
 
-\begin_layout Standard
-A test of the new defined commands:
-\end_layout
+\backslash
+#3, 
+\backslash
+#4
+\begin_inset Newline newline
+\end_inset
 
-\begin_layout Standard
-\align center
-\begin_inset Tabular
-<lyxtabular version="3" rows="6" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
-Command
-\end_layout
+\series default
+For the macro only the arguments with the macro name in front of them will
+ then be displayed in \SpecialChar LyX
+, leading to a better overview.
+ The formula appears in the output as defined in the first box.
+\begin_inset Newline newline
+\end_inset
 
+The appearance of macros in formulas can furthermore be changed for single
+ macros by setting the cursor in the macro and using the menu 
+\family sans
+View\SpecialChar menuseparator
+(Un)fold
+\begin_inset space ~
 \end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
-Result
-\begin_inset Note Note
-status collapsed
+Math
+\begin_inset space ~
+\end_inset
 
-\begin_layout Standard
+Macro
+\family default
+.
+\end_layout
 
+\begin_layout Standard
+To use a macro, the macro name is inserted as command to a formula, in our
+ case 
 \series bold
 
 \backslash
-raisebox
+qG
 \series default
- is only used as spacer.
-\end_layout
-
+.
+ Our macro looks in \SpecialChar LyX
+ like this:
+\begin_inset Newline newline
 \end_inset
 
 
-\end_layout
-
+\begin_inset space \hspace*{\fill}
 \end_inset
-</cell>
-</row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
-A
-\backslash
-gr
-\begin_inset ERT
-status collapsed
 
-\begin_layout Standard
+\begin_inset Graphics
+       filename clipart/macrouse.png
+       scale 75
 
+\end_inset
 
-\backslash
-spce 
-\end_layout
 
+\begin_inset space \hspace*{\fill}
 \end_inset
 
-B
-\end_layout
 
+\begin_inset Newline newline
 \end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $A\gr B$
+Here is our macro example with the arguments 
+\begin_inset Formula $x$
+\end_inset
+
+, 
+\begin_inset Formula $\ln(x)$
 \end_inset
 
+ and 
+\begin_inset Formula $B$
+\end_inset
 
+:
 \end_layout
 
+\begin_layout Standard
+\begin_inset Formula 
+\[
+\qG x{\ln(x)}B
+\]
+
 \end_inset
-</cell>
-</row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
 
-\backslash
-us{ABcd
 \end_layout
 
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
+\begin_layout Standard
+\SpecialChar LyX
+ offers in the menu 
+\family sans
+Tools\SpecialChar menuseparator
+Preferences\SpecialChar menuseparator
+Editing\SpecialChar menuseparator
+Control
+\family default
+ different styles to edit macros.
+ To find the style that suits you the most, choose a style and set the cursor
+ in a macro formula to see the difference.
+\end_layout
 
 \begin_layout Standard
-\begin_inset Formula $\raisebox{4.5mm}{}\us{ABcd}\raisebox{-2mm}{}$
-\end_inset
+A math macro is transformed internally to a 
+\series bold
 
+\backslash
+newcommand
+\series default
+ command when exporting the document.
+ The created 
+\series bold
 
+\backslash
+newcommand
+\series default
+ command is not placed in the \SpecialChar LaTeX
+-preamble, therefore macros can only be used
+ in formulas that are in the document below the macro definition box.
 \end_layout
 
-\end_inset
-</cell>
-</row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
 \begin_layout Standard
+Math macros can also be directly created from a 
+\series bold
 
 \backslash
-fb{[2cm]
-\begin_inset Formula $\to$
+newcommand
+\series default
+ command.
+ When writing for example the command
+\series bold
+
+\begin_inset Newline newline
 \end_inset
 
 
 \backslash
-{
-\begin_inset Formula $\to$
+newcommand{
+\backslash
+larrow}[2]{
+\backslash
+xleftarrow[#2]{#1}}
+\begin_inset Newline newline
 \end_inset
 
 
+\series default
+in \SpecialChar LyX
+ as normal text, highlighting it completely and using then the shortcut
+\family sans
+Ctrl+M
+\family default
+, the command will be transformed to a math macro.
+ Using this method you need to be careful that the 
+\series bold
+
 \backslash
-{
-\backslash
-int
-\begin_inset ERT
-status collapsed
+newcommand
+\series default
+ command is typed correctly, otherwise you get a faulty macro leading to
+ \SpecialChar LaTeX
+ errors.
+\end_layout
 
 \begin_layout Standard
-
+Math macros currently have the problem that further formulas in macro definition
+s are handled wrongly.
+ Therefore the example 
+\series bold
 
 \backslash
-spce 
-\end_layout
+fb
+\series default
+ from 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:The-Command-newcommand"
 
 \end_inset
 
-A=B
+ cannot be created as macro.
 \end_layout
 
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
+\begin_layout Standard
+When the cursor is in a macro definition box, you will see the macro toolbar
+ in \SpecialChar LyX
+:
+\end_layout
 
 \begin_layout Standard
-\begin_inset Formula $\raisebox{6mm}{}\fb{[2cm]}{}{\int A=B}\raisebox{-4mm}{}$
+\begin_inset VSpace defskip
 \end_inset
 
 
 \end_layout
 
-\end_inset
-</cell>
-</row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
 \begin_layout Standard
+\begin_inset Graphics
+       filename clipart/MacroToolbar.png
 
-\backslash
-cb{red
-\begin_inset Formula $\to$
 \end_inset
 
 
-\backslash
-{
-\backslash
-int
-\begin_inset ERT
+\begin_inset Index idx
 status collapsed
 
-\begin_layout Standard
-
-
-\backslash
-spce 
+\begin_layout Plain Layout
+Macros ! Toolbar
 \end_layout
 
 \end_inset
 
-A=B
-\end_layout
 
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
+\end_layout
 
 \begin_layout Standard
-\begin_inset Formula $\raisebox{6mm}{}\cb{red}{\int A=B}\raisebox{-4mm}{}$
+\begin_inset VSpace defskip
 \end_inset
 
 
 \end_layout
 
-\end_inset
-</cell>
-</row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
 \begin_layout Standard
+The macro toolbar contains from left to right the following buttons:
+\end_layout
 
-\backslash
-cb[green]
-\backslash
-{red
-\begin_inset Formula $\to$
+\begin_layout Standard
+\begin_inset VSpace defskip
 \end_inset
 
 
-\backslash
-{
-\backslash
-int
-\begin_inset ERT
-status collapsed
+\end_layout
 
 \begin_layout Standard
+\begin_inset Tabular
+<lyxtabular version="3" rows="9" columns="2">
+<features islongtable="true" longtabularalignment="center">
+<column alignment="left" valignment="top">
+<column alignment="left" valignment="top" width="85col%">
+<row interlinespace="2.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Info
+type  "icon"
+arg   "math-macro-remove-param"
+\end_inset
 
 
-\backslash
-spce 
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
-A=B
+\begin_layout Plain Layout
+
+\family sans
+Edit\SpecialChar menuseparator
+Math\SpecialChar menuseparator
+Macro
+\begin_inset space ~
+\end_inset
+
+Definition\SpecialChar menuseparator
+Remove Last Argument
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+</row>
+<row interlinespace="2.5mm">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{6mm}{}\cb[green]{red}{\int A=B}\raisebox{-4mm}{}$
+\begin_layout Plain Layout
+\begin_inset Info
+type  "icon"
+arg   "math-macro-add-param"
 \end_inset
 
 
 
 \end_inset
 </cell>
-</row>
-</lyxtabular>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
-\end_inset
+\begin_layout Plain Layout
 
+\family sans
+Edit\SpecialChar menuseparator
+Math\SpecialChar menuseparator
+Macro
+\begin_inset space ~
+\end_inset
 
+Definition\SpecialChar menuseparator
+Append Argument
 \end_layout
 
-\begin_layout Section
-Diagrams
-\begin_inset LatexCommand index
-name "Diagrams"
+\end_inset
+</cell>
+</row>
+<row interlinespace="2.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
+\begin_inset Info
+type  "icon"
+arg   "math-macro-make-optional"
 \end_inset
 
 
 \end_layout
 
-\begin_layout Standard
-To create diagrams, the LaTeX-package 
-\series bold
-amscd
-\begin_inset Foot
-status collapsed
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
-\series bold
-amscd
-\series default
- is part of every LaTeX standard installation.
-\end_layout
+\family sans
+Edit\SpecialChar menuseparator
+Math\SpecialChar menuseparator
+Macro
+\begin_inset space ~
+\end_inset
 
+Definition\SpecialChar menuseparator
+Transform First Non-Optional to
+\begin_inset Newline newline
 \end_inset
 
 
-\series default
+\begin_inset Phantom HPhantom
+status open
 
-\begin_inset LatexCommand index
-name "Packages ! amscd"
+\begin_layout Plain Layout
 
+\family sans
+Edit\SpecialChar menuseparator
+Math\SpecialChar menuseparator
+Macro
+\begin_inset space ~
 \end_inset
 
- is needed.
- It is loaded in the LaTeX-preamble with the line
-\end_layout
-
-\begin_layout Standard
-
-\series bold
+Definition\SpecialChar menuseparator
 
-\backslash
-usepackage{amscd}
 \end_layout
 
-\begin_layout Standard
-Diagrams visualize relations and look like this:
-\begin_inset Formula \[
-\begin{CD}A@>>>B@>>>C\\
-@AAA@.@VVV\\
-F@<<<E@<<<D\end{CD}\]
-
 \end_inset
 
-
+Optional Argument
 \end_layout
 
-\begin_layout Standard
-To get them, the command 
-\series bold
-
-\backslash
-CD
-\begin_inset LatexCommand index
-name "Commands ! C ! \\textbackslash CD"
+\end_inset
+</cell>
+</row>
+<row interlinespace="2.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
+\begin_inset Info
+type  "icon"
+arg   "math-macro-make-nonoptional"
 \end_inset
 
 
-\series default
- is inserted to a formula.
- A blue box appears with two dashed lines where further commands can be
- inserted.
- With 
-\family sans
-Ctrl-Return
-\family default
- a new line is created.
- Horizontal relations are inserted in odd, vertical in even formula lines.
 \end_layout
 
-\begin_layout Standard
-To create the relations there are the following commands:
-\end_layout
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
-\begin_layout Itemize
+\begin_layout Plain Layout
 
-\series bold
-@<<<
-\series default
- creates a left arrow, 
-\series bold
-@>>>
-\series default
- a right arrow, and 
-\series bold
-@=
-\series default
- a long equal sign
-\end_layout
+\family sans
+Edit\SpecialChar menuseparator
+Math\SpecialChar menuseparator
+Macro
+\begin_inset space ~
+\end_inset
 
-\begin_layout Itemize
+Definition\SpecialChar menuseparator
+Transform Last Optional to
+\begin_inset Newline newline
+\end_inset
 
-\series bold
-@AAA
-\series default
- creates an up arrow, 
-\series bold
-@VVV
-\series default
- an down arrow, and 
-\series bold
-@|
-\series default
- a vertical equal sign
-\end_layout
 
-\begin_layout Itemize
+\begin_inset Phantom HPhantom
+status open
 
-\series bold
-@.
+\begin_layout Plain Layout
 
-\series default
- is a placeholder for non-existent relations
-\end_layout
+\family sans
+Edit\SpecialChar menuseparator
+Math\SpecialChar menuseparator
+Macro
+\begin_inset space ~
+\end_inset
 
-\begin_layout Standard
-All arrows can be labeled as follows:
-\end_layout
+Definition\SpecialChar menuseparator
 
-\begin_layout Itemize
-Is text inserted between the first and second < or >, resp., it is placed
- above the arrow.
- When it is inserted between the second and third one, it appears under
- the arrow.
 \end_layout
 
-\begin_layout Itemize
-When text for vertical arrows is inserted between the first and second A
- or V, resp., it is placed left beside the arrow.
- When it is inserted between the second and third one, it appears right
- beside the arrow.
- If the text contains an A or V, these letters must be set into a TeX-brace.
-\end_layout
+\end_inset
 
-\begin_layout Standard
-As example a diagram with all possible relations:
+Non-Optional Argument
 \end_layout
 
-\begin_layout Standard
-\begin_inset Formula \[
-\begin{CD}A@>j>>B@>>k>C@=F\\
-@AmAA@.@VV{V}V@|\\
-D@<<j<E@>k>>F@=C\end{CD}\]
+\end_inset
+</cell>
+</row>
+<row interlinespace="2.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
+\begin_inset Info
+type  "icon"
+arg   "math-macro-remove-optional-param"
 \end_inset
 
 
 \end_layout
 
-\begin_layout Standard
-The command for this is:
-\newline
-
-\series bold
-
-\backslash
-CD
-\begin_inset ERT
-status collapsed
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
+\family sans
+Edit\SpecialChar menuseparator
+Math\SpecialChar menuseparator
+Macro
+\begin_inset space ~
+\end_inset
 
-\backslash
-spce 
+Definition\SpecialChar menuseparator
+Remove Optional Argument
 \end_layout
 
 \end_inset
+</cell>
+</row>
+<row interlinespace="2.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
-A@>j>>B@>>k>C@=F Ctrl-Enter
-\newline
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
+\begin_layout Plain Layout
+\begin_inset Info
+type  "icon"
+arg   "math-macro-add-optional-param"
+\end_inset
 
 
-\backslash
-hphantom{
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
 
-\backslash
-CD
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
+\family sans
+Edit\SpecialChar menuseparator
+Math\SpecialChar menuseparator
+Macro
+\begin_inset space ~
+\end_inset
 
-\backslash
-spce 
+Definition\SpecialChar menuseparator
+Insert Optional Argument
 \end_layout
 
 \end_inset
+</cell>
+</row>
+<row interlinespace="2.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
+\begin_inset Info
+type  "icon"
+arg   "math-macro-remove-greedy-param"
+\end_inset
 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
 
-}
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
-@AmAA@.@VV
-\backslash
-{V
-\series default
+\begin_layout Plain Layout
+
+\family sans
+Edit\SpecialChar menuseparator
+Math\SpecialChar menuseparator
+Macro
+\begin_inset space ~
+\end_inset
 
-\begin_inset Formula $\to$
+Definition\SpecialChar menuseparator
+Remove Last Argument
+\begin_inset Newline newline
 \end_inset
 
 
-\series bold
-V@| Ctrl-Enter
-\newline
+\begin_inset Phantom HPhantom
+status open
 
-\begin_inset ERT
-status collapsed
+\begin_layout Plain Layout
 
-\begin_layout Standard
+\family sans
+Edit\SpecialChar menuseparator
+Math\SpecialChar menuseparator
+Macro
+\begin_inset space ~
+\end_inset
 
+Definition\SpecialChar menuseparator
 
-\backslash
-hphantom{
 \end_layout
 
 \end_inset
 
+Spitting Out To The Right
+\end_layout
 
-\backslash
-CD
-\begin_inset ERT
-status collapsed
+\end_inset
+</cell>
+</row>
+<row interlinespace="2.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
+\begin_inset Info
+type  "icon"
+arg   "math-macro-append-greedy-param"
+\end_inset
 
 
-\backslash
-spce 
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
 
-\begin_inset ERT
-status collapsed
+\family sans
+Edit\SpecialChar menuseparator
+Math\SpecialChar menuseparator
+Macro
+\begin_inset space ~
+\end_inset
 
-\begin_layout Standard
+Definition\SpecialChar menuseparator
+Append Argument
+\begin_inset Newline newline
+\end_inset
 
-}
-\end_layout
 
+\begin_inset Phantom HPhantom
+status open
+
+\begin_layout Plain Layout
+
+\family sans
+Edit\SpecialChar menuseparator
+Math\SpecialChar menuseparator
+Macro
+\begin_inset space ~
 \end_inset
 
-D@<<j<E@>k>>F@=C
-\end_layout
+Definition\SpecialChar menuseparator
 
-\begin_layout Standard
+\end_layout
 
-\newpage
+\end_inset
 
+Eating From The Right
 \end_layout
 
-\begin_layout Section
-Tips
-\begin_inset ERT
-status collapsed
+\end_inset
+</cell>
+</row>
+<row interlinespace="2.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
+\begin_inset Info
+type  "icon"
+arg   "math-macro-add-greedy-optional-param"
+\end_inset
 
 
-\backslash
-texorpdfstring{
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
 
-\begin_inset Foot
-status collapsed
-
-\begin_layout Standard
-Other useful math tips can be found in 
-\begin_inset LatexCommand cite
-key "Voss"
+\family sans
+Edit\SpecialChar menuseparator
+Math\SpecialChar menuseparator
+Macro
+\begin_inset space ~
+\end_inset
 
+Definition\SpecialChar menuseparator
+Append Optional Argument
+\begin_inset Newline newline
 \end_inset
 
-.
-\end_layout
 
+\begin_inset Phantom HPhantom
+status open
+
+\begin_layout Plain Layout
+
+\family sans
+Edit\SpecialChar menuseparator
+Math\SpecialChar menuseparator
+Macro
+\begin_inset space ~
 \end_inset
 
+Definition\SpecialChar menuseparator
 
-\begin_inset ERT
-status collapsed
+\end_layout
 
-\begin_layout Standard
+\end_inset
 
-}{}
+Eating From The Right
 \end_layout
 
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
 \end_inset
 
 
-\begin_inset Note Note
-status collapsed
+\end_layout
+
+\begin_layout Section
+Computer Algebra Systems
+\end_layout
 
 \begin_layout Standard
+\SpecialChar LyX
+ offers the exchange between mathematical expressions written in \SpecialChar LyX
+'s math
+ editor and external applications or user defined scripts.
+ Currently supported applications are 
+\family sans
+Maple
+\family default
+, 
+\family sans
+Mathematica
+\family default
+, 
+\family sans
+Maxima
+\family default
+ and 
+\family sans
+Octave
+\family default
+.
+ Note that the set of supported mathematical constructs is limited only
+ to very simple cases.
+\end_layout
 
-\backslash
-texorpdfstring is used to avoid that the footnote appears in the PDF-bookmark.
+\begin_layout Subsection
+Usage
 \end_layout
 
 \begin_layout Standard
-More about 
-\backslash
-texorpdfstring is in section 
-\begin_inset LatexCommand ref
-reference "sub:Formulas-in-Section"
+Write some expression in a formula, go to the 
+\family sans
+Edit\SpecialChar menuseparator
+Math\SpecialChar menuseparator
+Use Computer Algebra System
+\family default
+ menu and choose the application you have installed on the computer.
+ After that the result of computation should show on the right side of the
+ expression together with the 
+\begin_inset Quotes eld
+\end_inset
 
+=
+\begin_inset Quotes erd
 \end_inset
 
-.
+ operator.
+\end_layout
+
+\begin_layout Standard
+Here are few simple examples (with results from 
+\family typewriter
+Maxima
+\family default
+) to show what kind of computations can be performed:
 \end_layout
 
+\begin_layout Itemize
+\begin_inset Formula $\frac{37}{3}*2-\sum_{i=1}^{3}i^{i}=-\frac{22}{3}$
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Tips"
+\end_layout
 
+\begin_layout Itemize
+\begin_inset Formula $\frac{37.0}{3}=12.33333333333333$
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Ions|see{Chemical characters}"
+\end_layout
 
+\begin_layout Itemize
+\begin_inset Formula $\int_{1}^{2}\sin(x)dx=\cos1-\cos2$
 \end_inset
 
 
 \end_layout
 
-\begin_layout Subsection
-Chemical Symbols and Equations
-\begin_inset LatexCommand label
-name "sub:Chemical-Symbols-and"
-
+\begin_layout Itemize
+\begin_inset Formula $\int\left(\frac{1}{1+x^{3}}\right)dx=-\frac{\log\left(x^{2}-x+1\right)}{6}+\frac{\arctan\left(\frac{2\,x-1}{\sqrt{3}}\right)}{\sqrt{3}}+\frac{\log\left(x+1\right)}{3}$
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Chemical characters ! Symbols"
-
+\begin_inset Newline newline
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Chemical equations"
+\begin_inset Note Greyedout
+status open
 
-\end_inset
+\begin_layout Plain Layout
 
+\series bold
+Note:
+\series default
+ One needs to use proper delimiter insets 
+\begin_inset Formula $\left(\right)$
+\end_inset
 
-\begin_inset LatexCommand index
-name "Symbols ! chemical"
+ instead of simple '(' ')' characters.
+\end_layout
 
 \end_inset
 
-
 \end_layout
 
-\begin_layout Standard
-An example text from chemistry:
+\begin_layout Itemize
+\begin_inset Formula $\det\left[\begin{array}{ccc}
+1 & 6 & 7\\
+2 & 5 & 8\\
+3 & 4 & 17
+\end{array}\right]=-56$
+\end_inset
+
+
 \end_layout
 
-\begin_layout Quote
-The 
-\begin_inset Formula $\mathrm{SO_{4}^{2-}}$
+\begin_layout Itemize
+\begin_inset Formula $\lim_{x\rightarrow0}\left(\frac{\sin(x)}{x}\right)=1$
 \end_inset
 
--ion reacts with two 
-\begin_inset Formula $\mathrm{Na^{+}}$
-\end_inset
 
--ions to sodium sulfate 
-\begin_inset Formula $\left(\mathrm{Na_{2}SO_{4}}\right)$
+\end_layout
+
+\begin_layout Itemize
+\begin_inset Formula $powerseries\left(-\log\left(5-x\right),x,1\right)=\sum_{{\mathit{i}_{2}}=0}^{\infty}{\frac{4^{-{\mathit{i}_{2}}-1}\,\left(x-1\right)^{{\mathit{i}_{2}}+1}}{{\mathit{i}_{2}}+1}}-\log4$
 \end_inset
 
-.
- The chemical equation for this is:
-\begin_inset Formula \[
-\mathrm{2\, Na^{+}+SO_{4}^{2-}\longrightarrow Na_{2}SO_{4}}\]
 
+\end_layout
+
+\begin_layout Itemize
+\begin_inset Formula $solve\left(x_{1}+y_{1}^{3}=y_{1}+x_{1}^{2},x_{1}\right)=\left[x_{1}=-\frac{\sqrt{4\,y_{1}^{3}-4\,y_{1}+1}-1}{2},x_{1}=\frac{\sqrt{4\,y_{1}^{3}-4\,y_{1}+1}+1}{2}\right]$
 \end_inset
 
 
 \end_layout
 
+\begin_layout Subsection
+Keyboard shortcut
+\end_layout
+
 \begin_layout Standard
-This chemical equation can directly be created as formula.
- To avoid that the symbols appear italic, everything is highlighted and
- changed by the shortcut 
+Currently there is no keyboard shortcut for calling the algebra applications.
+ One can easily bind a shortcut to the 
 \family sans
-Alt-c\InsetSpace ~
-r
+math-extern
 \family default
- to the upright font style.
-\begin_inset Foot
-status collapsed
+ \SpecialChar LyX
+ function (see the 
+\family sans
+\emph on
+\SpecialChar LyX
+ Functions
+\family default
+\emph default
+ manual).
+ One could e.
+\begin_inset space \thinspace{}
+\end_inset
+
+g.
+\begin_inset space \space{}
+\end_inset
+
+bind the 
+\family sans
+Return
+\family default
+ key inside the math editor.
+ To bind it to 
+\family typewriter
+Maxima
+\family default
+ one would use this shortcut definition command:
+\end_layout
 
 \begin_layout Standard
-font styles
-\series bold
-\series default
-see 
-\begin_inset LatexCommand ref
-reference "sub:Font-Styles"
 
-\end_inset
+\series bold
+command-alternatives paragraph-break;math-extern maxima
+\end_layout
 
+\begin_layout Section
+Miscellaneous
+\begin_inset Index idx
+status collapsed
 
+\begin_layout Plain Layout
+Miscellaneous
 \end_layout
 
 \end_inset
@@ -30217,8 +34302,12 @@ reference "sub:Font-Styles"
 
 \begin_layout Subsection
 Negative Numbers
-\begin_inset LatexCommand index
-name "Numbers ! negative"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Numbers ! negative
+\end_layout
 
 \end_inset
 
@@ -30245,43 +34334,43 @@ An example to visualize the problem:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features>
-<column alignment="right" valignment="top" leftline="true" width="0">
-<column alignment="left" valignment="top" rightline="true" width="0">
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="right" valignment="top" width="0pt">
+<column alignment="left" valignment="top">
+<row>
+<cell alignment="right" valignment="top" topline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 normal text:
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 x = -2
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="right" valignment="top" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 formula:
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $x=-2$
 \end_inset
 
@@ -30291,20 +34380,20 @@ formula:
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="right" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 solution:
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" rightline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $x=\textrm{-}2$
 \end_inset
 
@@ -30322,9 +34411,13 @@ solution:
 \end_layout
 
 \begin_layout Subsection
-Comma as Decimal Separator
-\begin_inset LatexCommand index
-name "Comma"
+Comma as decimal Separator
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Comma
+\end_layout
 
 \end_inset
 
@@ -30332,7 +34425,8 @@ name "Comma"
 \end_layout
 
 \begin_layout Standard
-In LaTeX a comma inside a formula is used, according to the English convention,
+In \SpecialChar LaTeX
+ a comma inside a formula is used, according to the English convention,
  as number group separator.
  So there will be space added behind all commas in formulas.
 \end_layout
@@ -30340,10 +34434,11 @@ In LaTeX a comma inside a formula is used, according to the English convention,
 \begin_layout Standard
 To avoid this, the comma is highlighted and changed to mathematical text
  (shortcut 
-\family sans
-Alt-m\InsetSpace ~
-m
-\family default
+\begin_inset Info
+type  "shortcut"
+arg   "math-mode"
+\end_inset
+
 ).
 \end_layout
 
@@ -30357,18 +34452,36 @@ icomma.sty
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \series bold
 icomma
 \series default
- is part of the LaTeX-package 
+ is part of the \SpecialChar LaTeX
+-package 
 \series bold
 was
 \series default
 
-\begin_inset LatexCommand index
-name "Packages ! was\\vspace{4mm}"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Packages ! was
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+vspace{4mm}
+\end_layout
+
+\end_inset
+
+
+\end_layout
 
 \end_inset
 
@@ -30378,12 +34491,17 @@ name "Packages ! was\\vspace{4mm}"
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Packages ! icomma"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Packages ! icomma
+\end_layout
 
 \end_inset
 
- is loaded with the LaTeX-preamble line
+ is loaded with the \SpecialChar LaTeX
+-preamble line
 \end_layout
 
 \begin_layout Standard
@@ -30396,14 +34514,19 @@ usepackage{icomma}
 
 \begin_layout Subsection
 Physical Vectors
-\begin_inset LatexCommand label
-name "sub:Physical-Vectors"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Physical-Vectors"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Vectors ! physical"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Vectors ! physical
+\end_layout
 
 \end_inset
 
@@ -30411,31 +34534,23 @@ name "Vectors ! physical"
 \end_layout
 
 \begin_layout Standard
-Predefined vectors are offered by the LaTeX-package 
+Predefined vectors are offered by the \SpecialChar LaTeX
+-package 
 \series bold
 braket
 \series default
 
-\begin_inset Foot
+\begin_inset Index idx
 status collapsed
 
-\begin_layout Standard
-
-\series bold
-braket
-\series default
- should be part of every LaTeX standard installation.
+\begin_layout Plain Layout
+Packages ! braket
 \end_layout
 
 \end_inset
 
-
-\begin_inset LatexCommand index
-name "Packages ! braket"
-
-\end_inset
-
- that is loaded with the LaTeX-preamble line
+ that is loaded with the \SpecialChar LaTeX
+-preamble line
 \end_layout
 
 \begin_layout Standard
@@ -30450,7 +34565,7 @@ usepackage{braket}
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -30463,8 +34578,9 @@ ifbraket
 \begin_inset Note Note
 status open
 
-\begin_layout Standard
-The following table will only be displayed when the LaTeX-package 
+\begin_layout Plain Layout
+The following table will only be displayed when the \SpecialChar LaTeX
+-package 
 \series bold
 braket
 \series default
@@ -30473,6 +34589,10 @@ braket
 
 \end_inset
 
+
+\end_layout
+
+\begin_layout Standard
 The following commands are defined:
 \end_layout
 
@@ -30480,34 +34600,34 @@ The following commands are defined:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Result
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Bra{
@@ -30517,10 +34637,10 @@ psi
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\Bra{\psi}$
 \end_inset
 
@@ -30530,11 +34650,11 @@ psi
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Ket{
@@ -30544,10 +34664,10 @@ psi
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\Ket{\psi}$
 \end_inset
 
@@ -30557,11 +34677,11 @@ psi
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Braket{
@@ -30573,10 +34693,10 @@ phi
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 \begin_inset Formula $\Braket{\psi|\phi}$
 \end_inset
 
@@ -30601,8 +34721,10 @@ The command
 Braket
 \series default
  assures that all vertical bars are set in the size of the surrounding brackets:
-\begin_inset Formula \[
-\Braket{\phi|J=\frac{3}{2}\,,\, M_{J}}\]
+\begin_inset Formula 
+\[
+\Braket{\phi|J=\frac{3}{2}\,,\,M_{J}}
+\]
 
 \end_inset
 
@@ -30610,7 +34732,7 @@ Braket
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -30623,8 +34745,9 @@ else
 \begin_inset Note Note
 status open
 
-\begin_layout Standard
-The following will be displayed when the LaTeX-package 
+\begin_layout Plain Layout
+The following will be displayed when the \SpecialChar LaTeX
+-package 
 \series bold
 braket
 \series default
@@ -30637,7 +34760,8 @@ braket
 \end_layout
 
 \begin_layout Standard
-You need to install the LaTeX-package 
+You need to install the \SpecialChar LaTeX
+-package 
 \series bold
 braket
 \series default
@@ -30648,7 +34772,7 @@ braket
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -30674,8 +34798,9 @@ Braket
 middle
 \series default
 , that is described in 
-\begin_inset LatexCommand ref
-reference "sub:Automatic-Bracket-Size"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Automatic-Bracket-Size"
 
 \end_inset
 
@@ -30684,14 +34809,19 @@ reference "sub:Automatic-Bracket-Size"
 
 \begin_layout Subsection
 Self-defined Fractions
-\begin_inset LatexCommand label
-name "sub:Self-defined-Fractions"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Self-defined-Fractions"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Fractions ! self-defined"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Fractions ! self-defined
+\end_layout
 
 \end_inset
 
@@ -30706,8 +34836,27 @@ To define custom commands for fractions, the command
 genfrac
 \series default
 
-\begin_inset LatexCommand index
-name "Commands ! G ! \\textbackslash genfrac"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! G ! 
+\backslash
+genfrac
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+vspace{4mm}
+\end_layout
+
+\end_inset
+
+
+\end_layout
 
 \end_inset
 
@@ -30728,29 +34877,19 @@ bracket}{right
  
 \series bold
 bracket}{fraction bar thickness}{style}
-\newline
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
+\begin_inset Newline newline
+\end_inset
 
 
-\backslash
-phantom{
-\end_layout
+\begin_inset Phantom HPhantom
+status open
 
-\end_inset
+\begin_layout Plain Layout
 
+\series bold
 
 \backslash
 genfrac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-}
 \end_layout
 
 \end_inset
@@ -30759,8 +34898,14 @@ status collapsed
 \end_layout
 
 \begin_layout Standard
-The style is a number in the range of 0\InsetSpace \thinspace{}
--\InsetSpace \thinspace{}
+The style is a number in the range of 0
+\begin_inset space \thinspace{}
+\end_inset
+
+-
+\begin_inset space \thinspace{}
+\end_inset
+
 3.
 \end_layout
 
@@ -30768,103 +34913,103 @@ The style is a number in the range of 0\InsetSpace \thinspace{}
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Number
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Style (Size)
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 0
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 display style formula
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 1
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 inline formula
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 2
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 small
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 3
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 tiny
 \end_layout
 
@@ -30890,9 +35035,11 @@ frac
 \end_layout
 
 \begin_layout Standard
-When no fraction bar thickness is given, the predefined value of 0.4\InsetSpace \thinspace{}
-pt will
- be used.
+When no fraction bar thickness is given, the predefined value of 0.4
+\begin_inset space \thinspace{}
+\end_inset
+
+pt will be used.
 \end_layout
 
 \begin_layout Standard
@@ -30912,8 +35059,9 @@ dfrac
 tbinom
 \series default
  from 
-\begin_inset LatexCommand ref
-reference "sub:Fractions"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Fractions"
 
 \end_inset
 
@@ -30953,7 +35101,8 @@ genfrac{(}{)}{0pt}{1}{#1}{#2}}
 \end_inset
 
 To define a fraction where the fraction bar thickness can be given as optional
- argument, the following line is inserted to the LaTeX-preamble:
+ argument, the following line is inserted to the \SpecialChar LaTeX
+-preamble:
 \end_layout
 
 \begin_layout Standard
@@ -30965,31 +35114,251 @@ newcommand{
 \backslash
 fracS}[3][]{
 \backslash
-genfrac{}{}{#1}{}{#2}{#3}}
-\end_layout
+genfrac{}{}{#1}{}{#2}{#3}}
+\end_layout
+
+\begin_layout Standard
+A test:
+\begin_inset Formula 
+\begin{align*}
+\text{Command} &  & \mathrm{\backslash fracS[1mm]\backslash\{A\to\backslash\{B} &  & \mathrm{\backslash fracS[5mm]\backslash\{A\to\backslash\{B}\\
+\text{Result} &  & \fracS[1mm]{A}{B} &  & \fracS[5mm]{A}{B}
+\end{align*}
+
+\end_inset
+
+As one can see, the distance of the numerator and the denominator to the
+ fraction bar is round about three times the bar thickness.
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
+\begin_layout Subsection
+Canceled Formulas
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Formula ! canceled
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+There are four ways to cancel formulas or parts of formulas:
+\end_layout
+
+\begin_layout Standard
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+ifcancel 
+\end_layout
+
+\end_inset
+
+
+\begin_inset Note Note
+status open
+
+\begin_layout Plain Layout
+The following table will only be displayed when the \SpecialChar LaTeX
+-package 
+\series bold
+cancel
+\series default
+ is installed.
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="5" columns="2">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Command
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Result
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+cancel
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\backslash
+int
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A=B
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\cancel{\int A=B}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+bcancel
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\backslash
+int
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A=B
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\bcancel{\int A=B}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+xcancel
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\backslash
+int
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A=B
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\xcancel{\int A=B}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+cancelto
+\begin_inset space \textvisiblespace{}
+\end_inset
 
-\begin_layout Standard
-A test:
-\begin_inset Formula \begin{align*}
-\text{Command} &  & \mathrm{\backslash fracS[1mm]\backslash\{A\to\backslash\{B} &  & \mathrm{\backslash fracS[5mm]\backslash\{A\to\backslash\{B}\\
-\text{Result} &  & \fracS[1mm]{A}{B} &  & \fracS[5mm]{A}{B}\end{align*}
 
+\backslash
+int
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A=B
+\begin_inset Formula $\to$
 \end_inset
 
-As one can see, the distance of the numerator and the denominator to the
- fraction bar is round about three times the bar thickness.
+1
 \end_layout
 
-\begin_layout Subsection
-Canceled Formulas
-\begin_inset LatexCommand label
-name "sub:Canceled-Formulas"
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
+\begin_inset Formula $\cancelto{1}{\int A=B}\hspace{3mm}$
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Formula ! canceled"
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
 
 \end_inset
 
@@ -30997,31 +35366,40 @@ name "Formula ! canceled"
 \end_layout
 
 \begin_layout Standard
-To cancel formulas or formula parts, the LaTeX-package 
+
 \series bold
-cancel
+
+\backslash
+cancelto
 \series default
+ is especially suitable to visualize the reduction of fractions within formulas:
+\begin_inset Formula 
+\[
+\frac{\left(x_{0}+bB\right)^{2}}{\left(1+b^{2}\right)^{\cancelto{2}{3}}}=\frac{x_{0}^{2}+B^{2}-r_{g}^{2}}{\cancel{1+b^{2}}}
+\]
 
-\begin_inset Foot
-status collapsed
+\end_inset
 
-\begin_layout Standard
 
-\series bold
-cancel
-\series default
- is part of every LaTeX standard installation.
 \end_layout
 
-\end_inset
-
+\begin_layout Standard
+To change the size of 
+\series bold
 
-\begin_inset LatexCommand index
-name "Packages ! cancel"
+\backslash
+cancelto
+\series default
+'s 
+\begin_inset Quotes eld
+\end_inset
 
+subscript
+\begin_inset Quotes erd
 \end_inset
 
- has to be loaded with the LaTeX-preamble line
+ value one can add the \SpecialChar LaTeX
+-preamble line
 \end_layout
 
 \begin_layout Standard
@@ -31029,245 +35407,186 @@ name "Packages ! cancel"
 \series bold
 
 \backslash
-usepackage[samesize]{cancel}
+PassOptionsToPackage{option}{cancel}
 \end_layout
 
 \begin_layout Standard
-There are four ways to cancel formulas:
+where 
+\series bold
+option
+\series default
+ is either 
+\series bold
+samesize
+\series default
+ which leads to the same size as for the canceled value, or 
+\series bold
+Smaller
+\series default
+ which makes is it a bit smaller than normal.
 \end_layout
 
 \begin_layout Standard
-\align center
-\begin_inset Tabular
-<lyxtabular version="3" rows="5" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Standard
-Command
+To color the cancellation bar one adds this command as \SpecialChar TeX
+ code:
 \end_layout
 
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Standard
-Result
-\begin_inset Note Note
-status collapsed
-
 \begin_layout Standard
 
 \series bold
 
 \backslash
-hspace
-\series default
- and
-\series bold
+renewcommand{
 \backslash
-raisebox
-\series default
- are used here as spacer.
+CancelColor}{
+\backslash
+color{red}}
 \end_layout
 
-\end_inset
-
+\begin_layout Standard
 
+\series bold
+red
+\series default
+ can be replaced by a color of your choice.
 \end_layout
 
-\end_inset
-</cell>
-</row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
 \begin_layout Standard
-
-\backslash
-cancel{
-\backslash
-int
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
-spce 
+renewcommand{
+\backslash
+CancelColor}{
+\backslash
+color{red}}
 \end_layout
 
 \end_inset
 
-A=B
-\end_layout
 
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
+\end_layout
 
 \begin_layout Standard
-\begin_inset Formula $\raisebox{4.5mm}{}\cancel{\int A=B}\raisebox{-2.5mm}{}$
+\begin_inset Formula 
+\[
+\frac{\left(x_{0}+bB\right)^{2}}{\left(1+b^{2}\right)^{\cancelto{2}{3}}}=\frac{x_{0}^{2}+B^{2}-r_{g}^{2}}{\cancel{1+b^{2}}}
+\]
+
 \end_inset
 
 
 \end_layout
 
-\end_inset
-</cell>
-</row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
 \begin_layout Standard
-
-\backslash
-bcancel{
-\backslash
-int
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
-spce 
-\end_layout
-
-\end_inset
-
-A=B
+renewcommand{
+\backslash
+CancelColor}{
+\backslash
+color{black}}
 \end_layout
 
 \end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{4.5mm}{}\bcancel{\int A=B}\raisebox{-2.5mm}{}$
-\end_inset
 
+\begin_inset Note Note
+status open
 
+\begin_layout Plain Layout
+reset the color
 \end_layout
 
 \end_inset
-</cell>
-</row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
 
-\backslash
-xcancel{
-\backslash
-int
-\begin_inset ERT
-status collapsed
+\end_layout
 
 \begin_layout Standard
-
-
-\backslash
-spce 
-\end_layout
+For further customizations, see the documentation of the package 
+\series bold
+cancel
+\series default
+, 
+\begin_inset CommandInset citation
+LatexCommand cite
+key "cancel"
 
 \end_inset
 
-A=B
-\end_layout
+.
+\begin_inset Index idx
+status collapsed
 
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
+\begin_layout Plain Layout
+Packages ! cancel
+\end_layout
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{4.5mm}{}\xcancel{\int A=B}\raisebox{-2.5mm}{}$
 \end_inset
 
 
 \end_layout
 
-\end_inset
-</cell>
-</row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
 \begin_layout Standard
-
-\backslash
-cancelto{1
-\begin_inset Formula $\to$
-\end_inset
-
-
-\backslash
-{
-\backslash
-int
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
-spce 
-\end_layout
-
-\end_inset
-
-A=B
+else 
 \end_layout
 
 \end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
 
-\begin_layout Standard
-\begin_inset Formula $\raisebox{7mm}{}\cancelto{1}{\int A=B}\raisebox{-2.5mm}{}\hspace{3mm}$
-\end_inset
 
+\begin_inset Note Note
+status open
 
+\begin_layout Plain Layout
+The following will be displayed when the \SpecialChar LaTeX
+-package 
+\series bold
+cancel
+\series default
+ is not installed:
 \end_layout
 
 \end_inset
-</cell>
-</row>
-</lyxtabular>
 
-\end_inset
 
+\end_layout
 
+\begin_layout Standard
+You need to install the \SpecialChar LaTeX
+-package 
+\series bold
+cancel
+\series default
+ to see the rest of this subsection in the output.
 \end_layout
 
 \begin_layout Standard
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
 
-\series bold
 
 \backslash
-cancelto
-\series default
- is especially suitable to visualize the reduction of fractions within formulas:
-\begin_inset Formula \[
-\frac{\left(x_{0}+bB\right)^{2}}{\left(1+b^{2}\right)^{\cancelto{2}{3}}}=\frac{x_{0}^{2}+B^{2}-r_{g}^{2}}{\cancel{1+b^{2}}}\]
+fi 
+\end_layout
 
 \end_inset
 
@@ -31276,14 +35595,19 @@ cancelto
 
 \begin_layout Subsection
 Formulas in Section Headings
-\begin_inset LatexCommand label
-name "sub:Formulas-in-Section"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Formulas-in-Section"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Formula ! in section headings"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Formula ! in section headings
+\end_layout
 
 \end_inset
 
@@ -31299,19 +35623,30 @@ When formulas are used in section headings, the following has to be taken
 \begin_inset Note Greyedout
 status open
 
-\begin_layout Standard
-When the LaTeX-package 
+\begin_layout Plain Layout
+When 
 \series bold
 hyperref
 \series default
 
-\begin_inset LatexCommand index
-name "Packages ! hyperref"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Packages ! hyperref
+\end_layout
+
+\end_inset
 
+ support is enabled in the document settings dialog under 
+\family sans
+PDF
+\begin_inset space ~
 \end_inset
 
- is used, PDF-bookmarks are automatically created for every section heading
- in the table of contents.
+Properties
+\family default
+, PDF-bookmarks are created for every section heading in the table of contents.
  If a section heading contains formulas, they are incorrectly displayed
  in the bookmark text, because formulas in bookmarks infringe the PDF convention
 s.
 Both problems can be solved by inserting at the end of the section heading
  a short title with the menu 
 \family sans
-Insert\SpecialChar \menuseparator
-Short\InsetSpace ~
+Insert\SpecialChar menuseparator
+Short
+\begin_inset space ~
+\end_inset
+
 Title
 \family default
 .
@@ -31342,7 +35680,8 @@ When formulas should be used in the table of contents but
 \series bold
 hyperref
 \series default
- is used, one can use the following command in TeX-mode:
+ is used, one can use the following command in \SpecialChar TeX
+ mode:
 \end_layout
 
 \begin_layout Standard
@@ -31351,8 +35690,14 @@ hyperref
 
 \backslash
 texorpdfstring{part}{alternative}
-\begin_inset LatexCommand index
-name "Commands ! T ! \\textbackslash texorpdfstring"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! T ! 
+\backslash
+texorpdfstring
+\end_layout
 
 \end_inset
 
@@ -31374,7 +35719,7 @@ Here are two example headings:
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -31392,10 +35737,10 @@ Heading without formula in table of contents
 \end_inset
 
 
-\begin_inset OptArg
+\begin_inset Argument 1
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Heading without formula in table of contents
 \end_layout
 
@@ -31409,7 +35754,7 @@ Heading with formula in table of contents
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -31426,7 +35771,7 @@ texorpdfstring{
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 }{}
 \end_layout
@@ -31440,7 +35785,7 @@ status collapsed
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -31462,16 +35807,17 @@ texorpdfstring
 To get the same formatting as for the other headings, the complete heading
  was set into a 
 \series bold
-boldmath environment
+boldmath
 \series default
-
+ environment
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 see 
-\begin_inset LatexCommand ref
-reference "sub:Bold-Formulas"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Bold-Formulas"
 
 \end_inset
 
@@ -31485,8 +35831,12 @@ reference "sub:Bold-Formulas"
 
 \begin_layout Subsection
 Formulas in multi-column Text
-\begin_inset LatexCommand index
-name "Formula ! in multi-column text"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Formula ! in multi-column text
+\end_layout
 
 \end_inset
 
@@ -31496,7 +35846,8 @@ name "Formula ! in multi-column text"
 \begin_layout Standard
 Formulas in multi-column text are often too wide to fit into a column and
  thus need to be set over the whole page width.
- This is done by using the LaTeX-package 
+ This is done by using the \SpecialChar LaTeX
+-package 
 \series bold
 multicol
 \series default
@@ -31504,23 +35855,29 @@ multicol
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \series bold
 multicol
 \series default
- is part of every LaTeX standard installation.
+ is part of every \SpecialChar LaTeX
+ standard installation.
 \end_layout
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Packages ! multicol"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Packages ! multicol
+\end_layout
 
 \end_inset
 
-, that is loaded with the LaTeX-preamble line
+, that is loaded with the \SpecialChar LaTeX
+-preamble line
 \end_layout
 
 \begin_layout Standard
@@ -31535,20 +35892,26 @@ usepackage{multicol}
 \begin_inset Note Greyedout
 status open
 
-\begin_layout Standard
-Note herby that the setting 
+\begin_layout Plain Layout
+Note that in this case the setting 
 \family sans
-Two-column\InsetSpace ~
+Two-column
+\begin_inset space ~
+\end_inset
+
 document
 \family default
  in the menu 
 \family sans
-Document\SpecialChar \menuseparator
+Document\SpecialChar menuseparator
 Settings
 \family default
  under 
 \family sans
-Text\InsetSpace ~
+Text
+\begin_inset space ~
+\end_inset
+
 Layout
 \family default
 \emph on
@@ -31579,9 +35942,16 @@ begin{multicols}{column number}
 \end_layout
 
 \begin_layout Standard
-is written in TeX-mode.
- The column number is a number in the range of 2\InsetSpace \thinspace{}
--\InsetSpace \thinspace{}
+is written in \SpecialChar TeX
+ mode.
+ The column number is a number in the range of 2
+\begin_inset space \thinspace{}
+\end_inset
+
+-
+\begin_inset space \thinspace{}
+\end_inset
+
 10.
  Before the formula the multi-column text is ended by inserting the command
 \end_layout
@@ -31595,12 +35965,16 @@ end{multicols}
 \end_layout
 
 \begin_layout Standard
-in TeX-mode.
+in \SpecialChar TeX
+ mode.
 \end_layout
 
 \begin_layout Standard
 Due to the command some space is automatically added before the formula.
- To revert this, -6\InsetSpace \thinspace{}
+ To revert this, -6
+\begin_inset space \thinspace{}
+\end_inset
+
 mm vertical space is inserted before the formula.
  When the formula style 
 \series bold
@@ -31608,9 +35982,10 @@ Indented
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 formula styles see 
-\begin_inset LatexCommand ref
+\begin_inset CommandInset ref
+LatexCommand ref
 reference "sec:Formula-Styles"
 
 \end_inset
@@ -31622,7 +35997,10 @@ reference "sec:Formula-Styles"
 
 
 \series default
- is used, -9\InsetSpace \thinspace{}
+ is used, -9
+\begin_inset space \thinspace{}
+\end_inset
+
 mm space is inserted instead.
 \end_layout
 
@@ -31631,10 +36009,12 @@ As example a multi-column text with a displayed formula:
 \end_layout
 
 \begin_layout Standard
+
+\lang ngerman
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -31644,25 +36024,25 @@ begin{multicols}{2}
 \end_inset
 
 Das Spektrum wird fouriertransformiert.
the Fouriertransformation wird verwendet, um the überlagerten Signale (Netzwerk
Die Fouriertransformation wird verwendet, um die überlagerten Signale (Netzwerk
 , Lösungsmittel) zu trennen.
- Nachdem wir the Phasenverschiebung bestimmen konnten, interessiert uns
+ Nachdem wir die Phasenverschiebung bestimmen konnten, interessiert uns
  nun das Aussehen des Ausgangssignals.
- Im Experiment haben wir es with sehr vielen Teilchen zu tun, so that man
+ Im Experiment haben wir es mit sehr vielen Teilchen zu tun, so dass man
  über alle Phasen integrieren muss.
  Sei nun 
 \begin_inset Formula $S$
 \end_inset
 
- unser normiertes Ausgangssignal and 
+ unser normiertes Ausgangssignal und 
 \begin_inset Formula $P$
 \end_inset
 
the Phasenverteilungsfunktion, so ergibt sich the Beziehung
die Phasenverteilungsfunktion, so ergibt sich die Beziehung
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -31676,8 +36056,10 @@ end{multicols}
 \end_inset
 
 
-\begin_inset Formula \begin{equation}
-S(t)=S_{0}(t)\int_{-\infty}^{\infty}P(\phi,t)\mathrm{e}^{\mathrm{i}\phi}\,\mathrm{d}\phi\label{eq:fouriertrafo}\end{equation}
+\begin_inset Formula 
+\begin{equation}
+S(t)=S_{0}(t)\int_{-\infty}^{\infty}P(\phi,t)\mathrm{e}^{\mathrm{i}\phi}\,\mathrm{d}\phi
+\end{equation}
 
 \end_inset
 
@@ -31685,7 +36067,7 @@ S(t)=S_{0}(t)\int_{-\infty}^{\infty}P(\phi,t)\mathrm{e}^{\mathrm{i}\phi}\,\mathr
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -31698,20 +36080,23 @@ wobei
 \begin_inset Formula $S_{0}$
 \end_inset
 
- das Signal ohne Gradient ist and the Normierungsbedingung 
+ das Signal ohne Gradient ist und die Normierungsbedingung 
 \begin_inset Formula $\int_{-\infty}^{\infty}P(\phi,t)\,\mathrm{d}\phi=1$
 \end_inset
 
  gilt.
- Nun dürfen wir aber nicht the Relaxationsprozess außer Acht lassen.
- Direkt nach the 
+ Nun dürfen wir aber nicht den Relaxationsprozess außer Acht lassen.
+ Direkt nach dem 
 \begin_inset Formula $\nicefrac{\pi}{2}$
 \end_inset
 
-\InsetSpace \thinspace{}
--rf-Puls beginnt sich the Magnetisierung zu entfokussieren, wodurch sich
+
+\begin_inset space \thinspace{}
+\end_inset
+
+-rf-Puls beginnt sich die Magnetisierung zu entfokussieren, wodurch sich
  das Signal zusätzlich abschwächt.
- Diese Abschwächung verläuft exponentiell in Abhängigkeit the so genannten
+ Diese Abschwächung verläuft exponentiell in Abhängigkeit der so genannten
  
 \begin_inset Formula $T_{2}$
 \end_inset
@@ -31720,10 +36105,12 @@ wobei
 \end_layout
 
 \begin_layout Standard
+
+\lang ngerman
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -31732,13 +36119,17 @@ end{multicols}
 
 \end_inset
 
+
 \end_layout
 
 \begin_layout Subsection
 Formulas with Description of Variables
-\begin_inset LatexCommand index
-name "Formula ! with description of variables"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Formula ! with description of variables
+\end_layout
 
 \end_inset
 
@@ -31747,7 +36138,8 @@ name "Formula ! with description of variables"
 
 \begin_layout Standard
 To describe variables within a formula, like in formula 
-\begin_inset LatexCommand eqref
+\begin_inset CommandInset ref
+LatexCommand eqref
 reference "eq:within"
 
 \end_inset
@@ -31760,7 +36152,10 @@ reference "eq:within"
 \begin_inset Formula $n$
 \end_inset
 
-\InsetSpace ~
+
+\begin_inset space ~
+\end_inset
+
 matrix is used with left aligned columns for the 
 \begin_inset Formula $n$
 \end_inset
@@ -31769,9 +36164,10 @@ matrix is used with left aligned columns for the
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 matrices see 
-\begin_inset LatexCommand ref
+\begin_inset CommandInset ref
+LatexCommand ref
 reference "sec:Matrices"
 
 \end_inset
@@ -31781,10 +36177,15 @@ reference "sec:Matrices"
 
 \end_inset
 
- To set the description in a smaller size, before the matrix e.\InsetSpace \thinspace{}
-g.\InsetSpace ~
-the command
+ To set the description in a smaller size, before the matrix e.
+\begin_inset space \thinspace{}
+\end_inset
+
+g.
+\begin_inset space \space{}
+\end_inset
+
+the command 
 \series bold
 
 \backslash
@@ -31794,10 +36195,11 @@ footnotesize
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 font sizes see 
-\begin_inset LatexCommand ref
-reference "sub:Font-Sizes"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Font-Sizes"
 
 \end_inset
 
@@ -31816,9 +36218,10 @@ Indented
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 formula styles see 
-\begin_inset LatexCommand ref
+\begin_inset CommandInset ref
+LatexCommand ref
 reference "sec:Formula-Styles"
 
 \end_inset
@@ -31840,7 +36243,7 @@ hfill
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \series bold
 
@@ -31852,8 +36255,9 @@ hfill
 Indented
 \series default
 , see 
-\begin_inset LatexCommand ref
-reference "sub:Variable-Space"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Variable-Space"
 
 \end_inset
 
@@ -31872,25 +36276,31 @@ When the formula style
 Centered
 \series default
  is used, the method described in 
-\begin_inset LatexCommand ref
-reference "sub:Flalign-Environment"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Flalign-Environment"
 
 \end_inset
 
  is used to indent formulas.
  Formula 
-\begin_inset LatexCommand eqref
+\begin_inset CommandInset ref
+LatexCommand eqref
 reference "eq:within"
 
 \end_inset
 
- consists of five columns whereas in the first two columns contain the equation,
- the third the matrix, and the last one an empty TeX-brace.
-\begin_inset Formula \begin{flalign}
+ consists of five columns where in the first two columns contain the equation,
+ the third the matrix and the last one an empty \SpecialChar TeX
+ brace.
+\begin_inset Formula 
+\begin{flalign}
 \hspace{30pt}F_{A} & =\rho·V·g & \footnotesize\begin{array}{ll}
 \rho & \textrm{density}\\
 V & \textrm{volume}\\
-g & \textrm{gravitational acceleration}\end{array} &  & {}\label{eq:within}\end{flalign}
+g & \textrm{gravitational acceleration}
+\end{array} &  & {}\label{eq:within}
+\end{flalign}
 
 \end_inset
 
@@ -31899,14 +36309,19 @@ g & \textrm{gravitational acceleration}\end{array} &  & {}\label{eq:within}\end{
 
 \begin_layout Subsection
 Upright small Greek Letters
-\begin_inset LatexCommand label
-name "sub:Upright-small-Greek"
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Upright-small-Greek"
 
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Greek letters ! upright"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Greek letters ! upright
+\end_layout
 
 \end_inset
 
@@ -31925,18 +36340,36 @@ upgreek.sty
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \series bold
 upgreek
 \series default
- is part of the LaTeX-package 
+ is part of the \SpecialChar LaTeX
+-package 
 \series bold
 was
 \series default
 
-\begin_inset LatexCommand index
-name "Packages ! was\\vspace{4mm}"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Packages ! was
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+vspace{4mm}
+\end_layout
+
+\end_inset
+
+
+\end_layout
 
 \end_inset
 
@@ -31946,12 +36379,17 @@ name "Packages ! was\\vspace{4mm}"
 \end_inset
 
 
-\begin_inset LatexCommand index
-name "Packages ! upgreek"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Packages ! upgreek
+\end_layout
 
 \end_inset
 
- that is loaded with the LaTeX-preamble line
+ that is loaded with the \SpecialChar LaTeX
+-preamble line
 \end_layout
 
 \begin_layout Standard
@@ -31968,7 +36406,7 @@ provides them.
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -31981,18 +36419,19 @@ ifupgreek
 \begin_inset Note Note
 status open
 
-\begin_layout Standard
-The following table will only be displayed when the LaTeX-package 
+\begin_layout Plain Layout
+The following table will only be displayed when the \SpecialChar LaTeX
+-package 
 \series bold
 upgreek
 \series default
- is installed.
+ is installed:
 \end_layout
 
 \end_inset
 
- They are created when the command for a small Greek letters is started
- with 
+ They are created when the command for a small Greek letter is started with
 \series bold
 up
 \series default
@@ -32012,8 +36451,10 @@ uptau
 
 \begin_layout Standard
 With these commands reactions of elementary particles can be typeset:
-\begin_inset Formula \[
-\uppi^{+}\to\upmu^{+}+\upnu_{\upmu}\]
+\begin_inset Formula 
+\[
+\uppi^{+}\to\upmu^{+}+\upnu_{\upmu}
+\]
 
 \end_inset
 
@@ -32037,7 +36478,7 @@ The upright letters are more bold and wider than the italic ones.
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
@@ -32050,8 +36491,9 @@ else
 \begin_inset Note Note
 status open
 
-\begin_layout Standard
-The following will be displayed when the LaTeX-package 
+\begin_layout Plain Layout
+The following will be displayed when the \SpecialChar LaTeX
+-package 
 \series bold
 upgreek
 \series default
@@ -32064,7 +36506,8 @@ upgreek
 \end_layout
 
 \begin_layout Standard
-You need to install the LaTeX-package 
+You need to install the \SpecialChar LaTeX
+-package 
 \series bold
 upgreek
 \series default
@@ -32075,7 +36518,7 @@ upgreek
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 
 \backslash
 
 \begin_layout Subsection
 Text Characters in Formulas
-\begin_inset LatexCommand label
-name "sub:Text-Characters-in"
-
-\end_inset
-
+\begin_inset Index idx
+status collapsed
 
-\begin_inset LatexCommand index
-name "Text ! in formulas"
+\begin_layout Plain Layout
+Text ! in formulas
+\end_layout
 
 \end_inset
 
@@ -32119,10 +36560,11 @@ cdot
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 see 
-\begin_inset LatexCommand ref
-reference "sub:Binary-Operators"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Binary-Operators"
 
 \end_inset
 
@@ -32133,7 +36575,8 @@ reference "sub:Binary-Operators"
 
  all the time, because this character is defined in all encodings as text
  character.
- But the encoding can be changed by this LaTeX-preamble line:
+ But the encoding can be changed by this \SpecialChar LaTeX
+-preamble line:
 \end_layout
 
 \begin_layout Standard
@@ -32151,15 +36594,15 @@ else
 \backslash
 textperiodcentered
 \backslash
-f\SpecialChar \textcompwordmark{}
+f\SpecialChar ligaturebreak
 i}
 \end_layout
 
 \begin_layout Standard
 The character encoding (menu 
 \family sans
-Document\SpecialChar \menuseparator
-Settings\SpecialChar \menuseparator
+Document\SpecialChar menuseparator
+Settings\SpecialChar menuseparator
 Language
 \family default
 ) specifies what character appears when a keyboard key is pressed.
@@ -32170,15 +36613,15 @@ Language
 textperiodcentered
 \series default
  is used.
- But this command is not available in a formula so that you would get LaTeX-erro
-rs.
+ But this command is not available in a formula so that you would get \SpecialChar LaTeX
+-errors.
  With the changed encoding the right command is chosen automatically, depending
  on if the character was inserted into a formula or not.
 \end_layout
 
 \begin_layout Standard
 The encoding of several characters is saved in definition files.
- Fore example the encoding 
+ For example the encoding 
 \series bold
 latin9
 \series default
@@ -32186,11 +36629,14 @@ latin9
 \series bold
 latin9.def
 \series default
- that is in the installation folder of LaTeX.
- Encodings should only be changed via the LaTeX-preamble and not in the
- definition files.
- Otherwise own documents could not be edited by other LyX users working
- on other computers.
+ which is in the installation folder of \SpecialChar LaTeX
+.
+ Encodings should only be changed via the \SpecialChar LaTeX
+-preamble and not in the definition
+ files.
+ Otherwise documents could not be edited by other \SpecialChar LyX
+ users working on other
+ computers.
 \end_layout
 
 \begin_layout Standard
@@ -32198,8 +36644,9 @@ latin9.def
 \end_inset
 
 Besides the centered dot, in this document the degree sign ° is defined
- with the following LaTeX-preamble line so that it can directly be inserted
- to a formula:
+ with the following \SpecialChar LaTeX
+-preamble line so that it can be directly inserted into
+ a formula:
 \end_layout
 
 \begin_layout Standard
@@ -32217,21 +36664,104 @@ else
 \backslash
 textdegree
 \backslash
-f\SpecialChar \textcompwordmark{}
+f\SpecialChar ligaturebreak
 i}
 \end_layout
 
+\begin_layout Subsection
+\SpecialChar LaTeX
+-comments in formulas
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+\SpecialChar LaTeX
+-comments
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+In text you can insert a comment that will only be visible in the \SpecialChar LaTeX
+ source
+ code of your file with the menu 
+\family sans
+Insert\SpecialChar menuseparator
+Note\SpecialChar menuseparator
+Comment
+\family default
+.
+ This is not possible in a formula but you can insert \SpecialChar LaTeX
+-comments with the
+ command
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+%
+\end_layout
+
+\begin_layout Standard
+This creates a box in which you can write your comment.
+ Due to a bug in \SpecialChar LyX
+
+\begin_inset Foot
+status collapsed
+
+\begin_layout Plain Layout
+\begin_inset CommandInset href
+LatexCommand href
+name "LyX-bug #9002"
+target "http://www.lyx.org/trac/ticket/9002"
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+ you cannot write normal text inside the comment, even when you use mathematical
+ text, you will see its \SpecialChar LaTeX
+-commands in the \SpecialChar LaTeX
+-output.
+\begin_inset Newline newline
+\end_inset
+
+This a formula with a \SpecialChar LaTeX
+-comment:
+\begin_inset Formula 
+\[
+A=B%\text{This is the comment}
+\]
+
+\end_inset
+
+
+\end_layout
+
 \begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
 
-\newpage
 
 \end_layout
 
 \begin_layout Section
 \start_of_appendix
-Typographic Advises
-\begin_inset LatexCommand index
-name "Typographic Advises"
+Typographic Advice
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Typographic advice
+\end_layout
 
 \end_inset
 
@@ -32244,7 +36774,7 @@ This section is a summary of the most important typographic rules, listed
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 This collection was partly taken from the German semi-official dictionary
  called 
 \begin_inset Quotes eld
@@ -32255,12 +36785,21 @@ Duden
 \end_inset
 
  
-\begin_inset LatexCommand cite
+\begin_inset CommandInset citation
+LatexCommand cite
 key "Duden"
 
 \end_inset
 
  that lists some of the ISO rules.
+ More rules are listed in 
+\begin_inset CommandInset citation
+LatexCommand cite
+key "Checklist"
+
+\end_inset
+
+.
 \end_layout
 
 \end_inset
@@ -32277,10 +36816,11 @@ always
 \begin_inset Foot
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 done with font styles, see 
-\begin_inset LatexCommand ref
-reference "sub:Font-Styles"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Font-Styles"
 
 \end_inset
 
@@ -32289,42 +36829,78 @@ reference "sub:Font-Styles"
 
 \end_inset
 
-: 30\InsetSpace \thinspace{}
+, no matter if they appear in italic text: 30
+\begin_inset space \thinspace{}
+\end_inset
+
 km/h
-\newline
+\begin_inset Newline newline
+\end_inset
+
 Between the value and the unit is the smallest space, see 
-\begin_inset LatexCommand ref
-reference "sub:Predefined-Space"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Predefined-Space"
 
 \end_inset
 
 .
-\end_layout
+\begin_inset Newline newline
+\end_inset
 
-\begin_layout Itemize
-Percent and perthousand signs are set like physical units:
-\newline
-1,2\InsetSpace \thinspace{}
+This convention is automatically fulfilled when the command 
+\series bold
 
-\begin_inset ERT
-status collapsed
+\backslash
+unittwo
+\series default
+ is used.
+ When it is entered to a formula, two boxes appear.
+ In the first one the value is inserted, in the second one the unit, and
+ one gets as above: 
+\begin_inset Formula $\unit[30]{km/h}$
+\end_inset
 
-\begin_layout Standard
 
+\begin_inset space \thinspace{}
+\end_inset
+
+.
+ Note that 
+\series bold
+
+\backslash
+unittwo
+\series default
+ is not a real \SpecialChar LaTeX
+ command but the command 
+\series bold
 
 \backslash
-textperthousand 
+unit[value]{unit}
+\series default
+, therefore you cannot use it in \SpecialChar TeX
+ code.
 \end_layout
 
+\begin_layout Itemize
+Percent and perthousand signs are set like physical units:
+\begin_inset Newline newline
+\end_inset
+
+1.2
+\begin_inset space \thinspace{}
 \end_inset
 
-\InsetSpace ~
-alcohol in blood
+‰ alcohol in blood
 \end_layout
 
 \begin_layout Itemize
 The degree sign follows directly on the value: 15°, but not when it is used
- in units: 15\InsetSpace \thinspace{}
+ in units: 15
+\begin_inset space \thinspace{}
+\end_inset
+
 °C
 \end_layout
 
@@ -32339,13 +36915,22 @@ In numbers with more than four digits the smallest space is inserted before
 \bar no
 \noun off
 \color none
-18\InsetSpace \thinspace{}
-473\InsetSpace \thinspace{}
+18
+\begin_inset space \thinspace{}
+\end_inset
+
+473
+\begin_inset space \thinspace{}
+\end_inset
+
 588
 \end_layout
 
 \begin_layout Itemize
-For dimensionings like 120×90×40\InsetSpace \thinspace{}
+For dimensions like 120×90×40
+\begin_inset space \thinspace{}
+\end_inset
+
 cm the multiplication sign 
 \begin_inset Quotes eld
 \end_inset
@@ -32355,20 +36940,27 @@ cm the multiplication sign
 \end_inset
 
  is used.
- It is available with the LaTeX-command 
+ It is available either via the command 
 \series bold
 
 \backslash
-texttimes
+times
 \series default
-, but can also directly be inserted with some keyboard definitions.
+ or via the menu 
+\family sans
+Insert\SpecialChar menuseparator
+Special Character\SpecialChar menuseparator
+Symbols
+\family default
+.
 \end_layout
 
 \begin_layout Itemize
 Functions with names consisting of several letters are set upright to avoid
  confusions, see 
-\begin_inset LatexCommand ref
-reference "sub:Predefined-Functions"
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Predefined-Functions"
 
 \end_inset
 
@@ -32381,7 +36973,9 @@ Indices consisting of several letters, are set upright:
 \end_inset
 
 
-\newline
+\begin_inset Newline newline
+\end_inset
+
 Components of matrices are set italic: 
 \begin_inset Formula $\hat{H}_{kl}$
 \end_inset
@@ -32390,21 +36984,59 @@ Components of matrices are set italic:
 \end_layout
 
 \begin_layout Itemize
-The differentiation/integration operator 'd', the Euler's number 'e', and
+The differentiation/integration operator 'd', the Euler's number 'e' and
  the imaginary unit 'i' should be set upright, to avoid mixing them up with
  other variables.
 \end_layout
 
+\begin_layout Itemize
+The character that denotes a 
+\noun on
+Fourier
+\noun default
+ transformation is inserted either by the command 
+\series bold
+
+\backslash
+mathscr
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+F
+\series default
+ or via the menu 
+\family sans
+Insert\SpecialChar menuseparator
+Special Character\SpecialChar menuseparator
+Symbols\SpecialChar menuseparator
+Letterlike
+\begin_inset space ~
+\end_inset
+
+Symbols
+\family default
+: 
+\begin_inset Formula $\mathscr{F}$
+\end_inset
+
+
+\end_layout
+
 \begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
 
-\newpage
 
 \end_layout
 
 \begin_layout Section
 Synonyms
-\begin_inset LatexCommand index
-name "Synonyms"
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Synonyms
+\end_layout
 
 \end_inset
 
@@ -32421,54 +37053,40 @@ Some characters and symbols can be created with several commands.
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
+
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="12" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 equivalent to
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
-\end_inset
-
-
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 ast
@@ -32476,44 +37094,21 @@ ast
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Standard
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-raisebox{-1.2mm}{
-\end_layout
-
-\end_inset
-
-*
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-}
-\end_layout
-
-\end_inset
-
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
+*
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 choose
@@ -32521,10 +37116,10 @@ choose
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 binom
@@ -32533,11 +37128,11 @@ binom
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 geq
@@ -32545,10 +37140,10 @@ geq
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 ge
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 lbrace
@@ -32569,21 +37164,21 @@ lbrace
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 {
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 lbracket
@@ -32591,21 +37186,21 @@ lbracket
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 [
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 leftarrow
@@ -32613,10 +37208,10 @@ leftarrow
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 gets
@@ -32625,11 +37220,11 @@ gets
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 leq
@@ -32637,10 +37232,10 @@ leq
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 le
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 lor
@@ -32661,10 +37256,10 @@ lor
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 vee
@@ -32673,11 +37268,11 @@ vee
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 neq
@@ -32685,10 +37280,10 @@ neq
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 not=
@@ -32697,11 +37292,11 @@ not=
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 slash
@@ -32709,21 +37304,21 @@ slash
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 /
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 vert
@@ -32731,10 +37326,10 @@ vert
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 |
 \end_layout
 
@@ -32746,38 +37341,40 @@ vert
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
+
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="12" columns="2">
-<features>
-<column alignment="center" valignment="top" leftline="true" width="0pt">
-<column alignment="center" valignment="top" leftline="true" rightline="true" width="0pt">
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<features booktabs="true" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 Command
 \end_layout
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 equivalent to
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 backslash
@@ -32785,10 +37382,10 @@ backslash
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 
@@ -32799,11 +37396,11 @@ backslash
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 dasharrow
@@ -32811,10 +37408,10 @@ dasharrow
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 dashrightarrow
@@ -32823,11 +37420,11 @@ dashrightarrow
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 land
@@ -32835,10 +37432,10 @@ land
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 wedge
@@ -32847,11 +37444,11 @@ wedge
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 rbrace
@@ -32859,21 +37456,21 @@ rbrace
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 }
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 rbracket
@@ -32881,21 +37478,21 @@ rbracket
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 ]
 \end_layout
 
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 rightarrow
@@ -32903,10 +37500,10 @@ rightarrow
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 to
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 lnot
@@ -32927,10 +37524,10 @@ lnot
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 neg
@@ -32939,11 +37536,11 @@ neg
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 ne
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 not=
@@ -32963,11 +37560,11 @@ not=
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 owns
@@ -32975,10 +37572,10 @@ owns
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 ni
 \end_inset
 </cell>
 </row>
-<row topline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 square
@@ -32999,10 +37596,10 @@ square
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Box
@@ -33011,11 +37608,11 @@ Box
 \end_inset
 </cell>
 </row>
-<row topline="true" bottomline="true">
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<row>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 Vert
@@ -33023,10 +37620,10 @@ Vert
 
 \end_inset
 </cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
 \backslash
 |
@@ -33040,18 +37637,22 @@ Vert
 \end_inset
 
 
-\hfill
+\begin_inset space \hfill{}
+\end_inset
+
 
 \end_layout
 
 \begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
 
-\newpage
 
 \end_layout
 
 \begin_layout Bibliography
-\begin_inset LatexCommand bibitem
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
 key "TLC2"
 
 \end_inset
@@ -33063,245 +37664,176 @@ Mittelbach, F.
 \shape default
 : 
 \shape italic
-The LaTeX Companion
+The \SpecialChar LaTeX
+ Companion
 \shape default
 .
  Addison Wesley, 2004
 \end_layout
 
 \begin_layout Bibliography
-\begin_inset LatexCommand bibitem
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
 key "Mathmode"
 
 \end_inset
 
 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-href{ftp://ftp.dante.de/tex-archive/info/math/voss/mathmode/Mathmode.pdf}{
-\end_layout
-
-\end_inset
-
-Description
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-}
-\end_layout
+\begin_inset CommandInset href
+LatexCommand href
+name "Description"
+target "ftp://ftp.dante.de/tex-archive/info/math/voss/mathmode/Mathmode.pdf"
 
 \end_inset
 
- of LaTeX's math abilities
+ of \SpecialChar LaTeX
+'s math abilities
 \end_layout
 
 \begin_layout Bibliography
-\begin_inset LatexCommand bibitem
-key "Voss"
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+key "AMS"
 
 \end_inset
 
-LaTeX tips and tricks-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
 
-\backslash
-href{http://tug.org/TeXnik/}{
-\end_layout
+\begin_inset CommandInset href
+LatexCommand href
+name "Description"
+target "http://mirrors.ctan.org/macros/latex/required/amslatex/math/amsldoc.pdf"
 
 \end_inset
 
-page
+ of 
 \begin_inset ERT
 status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
-}
+
+\backslash
+AmS
 \end_layout
 
 \end_inset
 
+-\SpecialChar LaTeX
 
 \end_layout
 
 \begin_layout Bibliography
-\begin_inset LatexCommand bibitem
-key "AMS"
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+key "Symbols"
 
 \end_inset
 
 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-href{ftp://ftp.ams.org/pub/tex/doc/amsmath/amsldoc.pdf}{
-\end_layout
+\begin_inset CommandInset href
+LatexCommand href
+name "List"
+target "ftp://ftp.dante.de/tex-archive/info/symbols/comprehensive/symbols-a4.pdf"
 
 \end_inset
 
-Description
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-}
+ of all symbols available with \SpecialChar LaTeX
+-packages
 \end_layout
 
-\end_inset
-
- of 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-AmS
-\end_layout
+\begin_layout Bibliography
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+key "cancel"
 
 \end_inset
 
--LaTeX
-\end_layout
 
-\begin_layout Bibliography
-\begin_inset LatexCommand bibitem
-key "Symbole"
+\begin_inset CommandInset href
+LatexCommand href
+name "Documentation"
+target "http://mirrors.ctan.org/macros/latex/contrib/cancel/cancel.pdf"
 
 \end_inset
 
+ of the \SpecialChar LaTeX
+-package 
+\series bold
+cancel
+\series default
 
-\begin_inset ERT
+\begin_inset Index idx
 status collapsed
 
-\begin_layout Standard
-
-
-\backslash
-href{ftp://ftp.dante.de/tex-archive/info/symbols/comprehensive/symbols-a4.pdf}{
+\begin_layout Plain Layout
+Packages ! cancel
 \end_layout
 
 \end_inset
 
-List
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-}
-\end_layout
 
-\end_inset
-
- of all symbols available with LaTeX-packages
 \end_layout
 
 \begin_layout Bibliography
-\begin_inset LatexCommand bibitem
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
 key "hyperref"
 
 \end_inset
 
 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-href{http://www.tug.org/applications/hyperref/ftp/doc/manual.pdf}{
-\end_layout
-
-\end_inset
-
-Documentation
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-}
-\end_layout
+\begin_inset CommandInset href
+LatexCommand href
+name "Documentation"
+target "http://www.tug.org/applications/hyperref/ftp/doc/manual.pdf"
 
 \end_inset
 
- of the LaTeX-package 
+ of the \SpecialChar LaTeX
+-package 
 \series bold
 hyperref
 \series default
 
-\begin_inset LatexCommand index
-name "Packages ! hyperref"
-
-\end_inset
-
+\begin_inset Index idx
+status collapsed
 
+\begin_layout Plain Layout
+Packages ! hyperref
 \end_layout
 
-\begin_layout Bibliography
-\begin_inset LatexCommand bibitem
-key "Mathclap"
-
 \end_inset
 
 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Standard
-
-
-\backslash
-href{http://www.tug.org/TUGboat/Articles/tb22-4/tb72perlS.pdf}{
 \end_layout
 
-\end_inset
+\begin_layout Bibliography
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+key "mhchem"
 
-Description
-\begin_inset ERT
-status collapsed
+\end_inset
 
-\begin_layout Standard
 
-}
-\end_layout
+\begin_inset CommandInset href
+LatexCommand href
+name "Documentation"
+target "http://www.ctan.org/tex-archive/macros/latex/contrib/mhchem/mhchem.pdf"
 
 \end_inset
 
- of the command 
+ of the \SpecialChar LaTeX
+-package 
 \series bold
-
-\backslash
-mathclap
+mhchem
 \series default
-, described in 
-\begin_inset LatexCommand ref
-reference "sub:Operator-Limits"
-
-\end_inset
 
+\begin_inset Index idx
+status collapsed
 
-\begin_inset LatexCommand index
-name "Commands ! M ! \\textbackslash mathclap"
+\begin_layout Plain Layout
+Packages ! mhchem
+\end_layout
 
 \end_inset
 
@@ -33309,7 +37841,8 @@ name "Commands ! M ! \\textbackslash mathclap"
 \end_layout
 
 \begin_layout Bibliography
-\begin_inset LatexCommand bibitem
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
 key "Duden"
 
 \end_inset
@@ -33323,8 +37856,28 @@ Duden Band 1
  Auflage, Duden 2001
 \end_layout
 
-\begin_layout Subsubsection*
-\begin_inset LatexCommand printindex
+\begin_layout Bibliography
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+key "Checklist"
+
+\end_inset
+
+
+\begin_inset CommandInset href
+LatexCommand href
+name "Check list"
+target "http://physics.nist.gov/Pubs/SP811/sec11.html"
+
+\end_inset
+
+ for reviewing manuscripts
+\end_layout
+
+\begin_layout Standard
+\begin_inset CommandInset index_print
+LatexCommand printindex
+type "idx"
 
 \end_inset