-#LyX 1.6.3svn created this file. For more info see http://www.lyx.org/
-\lyxformat 345
+#LyX 2.1 created this file. For more info see http://www.lyx.org/
+\lyxformat 474
\begin_document
\begin_header
\textclass scrartcl
\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,
\AtBeginDocument{\renewcommand{\ref}[1]{\mbox{\autoref{#1}}}}
-\newlength{\abc}
-\settowidth{\abc}{\space}
-\addto\extrasenglish{
- \renewcommand{\equationautorefname}{\hspace{-\abc}}
- \renewcommand{\sectionautorefname}{sec.\negthinspace}
- \renewcommand{\subsectionautorefname}{sec.\negthinspace}
- \renewcommand{\subsubsectionautorefname}{sec.\negthinspace}}
+\@ifundefined{extrasenglish}{\usepackage[english]{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
% provides caption formatting
\setkomafont{captionlabel}{\bfseries}
-% 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 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
\newboolean{eurosym}
\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
+\fontencoding global
\font_roman default
\font_sans default
\font_typewriter default
+\font_math auto
\font_default_family default
+\use_non_tex_fonts false
\font_sc false
\font_osf false
\font_sf_scale 100
\font_tt_scale 100
-
\graphics default
+\default_output_format default
+\output_sync 0
+\bibtex_command default
+\index_command default
\paperfontsize 12
\spacing single
\use_hyperref true
\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, pdfpagelabels"
+\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
\family sans
-Version 2.0.x
+Version 2.1.x
\end_layout
\begin_layout Standard
status open
\begin_layout Plain Layout
-To export this document to PDF, PS, or DVI the LaTeX-packages
-\series bold
-eurosym,
-\series default
-
+To export this document to PDF, PS or DVI the 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 Plain Layout
\series default
Math
\family default
-, or the
+ or the
\family sans
math
\family default
\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
\begin_inset CommandInset href
LatexCommand href
name "amsguide.ps"
-target "ftp://ctan.tug.org/tex-archive/macros/amstex/doc/amsguide.ps"
+target "ftp://ftp.ams.org/pub/tex/doc/amstex/amsguide.pdf"
\end_inset
\begin_layout Standard
To create an inline formula
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
or the toolbar button
-\begin_inset Graphics
- filename ../images/math-mode.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-mode"
\end_inset
-
+.
\begin_inset Newline newline
\end_inset
To create a display style formula
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
- that will appear bigger and in an own paragraph, use one of these shortcuts:
-
+ 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"
\backslash
displaystyle
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
to a formula.
Then a new blue box appears in which the desired formula part is inserted.
\end_layout
\begin_layout Standard
The TeX-mode
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
is invoked by pressing the toolbar button
-\begin_inset Graphics
- filename ../images/ert-insert.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "ert-insert"
\end_inset
or by using the menu
\begin_inset Quotes erd
\end_inset
- that appear in the output with sub- and superscript letters: TeX, LaTeX,
+ that appear in the output with sub- and superscript letters: TeX, LaTeX
and LyX
\end_layout
\begin_layout Standard
To change the LaTeX-preamble
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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
Math
\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.
mathematical text
\emph default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
is used.
- This mode is invoked with the the shortcut
+ This mode is invoked with the shortcut
\begin_inset Info
type "shortcut"
arg "font-default"
\backslash
text
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
.
The text appears black in LyX and can therefore be distinguished from the
- other formula parts that appear blue.
+ other formula parts which appear blue.
In the output mathematical text is set upright, in contrary to other formula
parts.
\end_layout
\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
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 Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
.
- If you add in a formula a left brace to a command name, LyX creates automatical
-ly a TeX-brace.
+ If you add in a formula a left brace to a command name, LyX automatically
+ creates a TeX-brace.
In all other cases TeX-braces are created in formulas with the command
\series bold
{
\series default
.
- TeX-braces appear red in LyX, in contrary to normal braces that appear
+ TeX-braces appear red in LyX, in contrary to normal braces which appear
blue.
In TeX-mode no command is needed to get TeX-braces.
TeX-braces don't appear in the output.
\begin_layout Standard
A protected space is inserted with
\begin_inset Info
-type "shortcut"
-arg "space-insert protected"
+type "shortcuts"
+arg "command-alternatives space-insert protected ; math-space"
\end_inset
.
\end_layout
\begin_layout Itemize
-The symbol
-\begin_inset Foot
-status collapsed
-
-\begin_layout Plain Layout
-This visible space character can be created with the command
-\series bold
-
-\backslash
-textvisiblespace
-\series default
-
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Commands ! T !
-\backslash
-textvisiblespace
-\end_layout
-
+The symbol
+\begin_inset space \textvisiblespace{}
\end_inset
-, inserted in TeX-mode.
+ denotes a space character to be input.
\end_layout
+\begin_layout Itemize
+An arrow like
+\begin_inset Formula $\to$
\end_inset
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+ denotes the usage of the corresponding arrow key on the keyboard.
+ The
+\family sans
+Tab
+\family default
+ key can often be used instead of
+\begin_inset Formula $\to$
\end_inset
-
-\begin_inset space ~
+ and
+\begin_inset Formula $\downarrow$
\end_inset
-denotes a space character to be input.
-\end_layout
+, and
+\family sans
+Shift+Tab
+\family default
+ instead of
+\begin_inset Formula $\leftarrow$
+\end_inset
-\begin_layout Itemize
-An arrow like
-\begin_inset Formula $\to$
+ and
+\begin_inset Formula $\uparrow$
\end_inset
- denotes the usage of the corresponding arrow key on the keyboard.
+.
\end_layout
\begin_layout Subsection*
\begin_layout Plain Layout
\align center
-\begin_inset Caption
+\begin_inset Caption Standard
\begin_layout Plain Layout
\begin_inset CommandInset label
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<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 Subsection
Exponents
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
and Indices
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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
\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>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Plain Layout
B^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
status collapsed
\begin_layout Plain Layout
-Depending on the used keyboard settings this can also happen for other character
-s than vowels.
+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
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
frac
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain 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.
\backslash
dfrac
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain 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 Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
the fraction appears always with the size of an inline formula.
An example:
\end_layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
dfrac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
dfrac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
e^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
-\end_inset
-
-
\backslash
frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
1
cfrac
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
can be used.
- Here an example:
+ Here is an example:
\begin_inset VSpace -3mm
\end_inset
\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
\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
+F
+\begin_inset Formula $\downarrow$
+\end_inset
-\backslash
-{D
+D
\end_layout
\begin_layout Standard
\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.
-\begin_inset space ~
-\end_inset
+\begin_inset Note Greyedout
+status open
-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:
-\begin_inset Newline newline
-\end_inset
+\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 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 TeX code.
+\end_layout
-,
-\begin_inset Formula $\cfrac[r]{A}{B+C}$
\end_inset
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
nicefrac
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
unitfrac
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Newline newline
-\end_inset
+\end_layout
-Note that
+\begin_layout Standard
+\begin_inset Note Greyedout
+status open
+
+\begin_layout Plain Layout
+
+\series bold
+Note:
+\series default
+
\series bold
\backslash
\backslash
unitfrac[number]{numerator}{denominator}
\series default
-, therefore you cannot use it in TeX code.
+ .
+ Therefore you cannot use it in TeX code.
+\end_layout
+
+\end_inset
+
+
\end_layout
\begin_layout Standard
.
\end_layout
+\begin_layout Standard
+Multiline fractions are explained in
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sub:Multiline-Fractions"
+
+\end_inset
+
+.
+\end_layout
+
\begin_layout Subsection
Roots
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
sqrt
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
or the math toolbar button
-\begin_inset Graphics
- filename ../images/math/sqrt.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\sqrt"
\end_inset
, all other roots with the command
root
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
or with the math toolbar button
-\begin_inset Graphics
- filename ../images/math/root.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\root"
\end_inset
.
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
sqrt
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A-B
\backslash
root
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
3
leftroot
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
uproot
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
beta
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\begin_layout Subsection
Binomial Coefficients
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
binom
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain 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
.
- Analog to fractions (
+ As with fractions (
\series bold
\backslash
frac
\series default
-) there are besides
+) in addition to
\series bold
\backslash
binom
\series default
- the commands
+ there are the commands
\series bold
\backslash
dbinom
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
and
\series bold
tbinom
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
brace
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
brack
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
binom
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
dbinom
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
tbinom
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
brack
-\begin_inset ERT
-status collapsed
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A
+\begin_inset Formula $\downarrow$
+\end_inset
+
+B
+\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 $\raisebox{5mm}{}{A \brack B}\raisebox{-2.5mm}{}$
+\end_inset
-\backslash
-spce
\end_layout
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+brace
+\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" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox{5mm}{}{A \brack B}\raisebox{-2.5mm}{}$
+\begin_inset Formula $\raisebox{5mm}{}{A \brace B}\raisebox{-2.5mm}{}$
\end_inset
\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
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="3" columns="2">
+<features rotate="0" 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" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
\begin_layout Plain Layout
\backslash
-brace
-\begin_inset ERT
+cases
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A
+\begin_inset Formula $\to$
+\end_inset
+
+B>0
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
+Commands ! C !
+\backslash
+cases
+\end_layout
+
+\end_inset
-\backslash
-spce
\end_layout
\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
-A
-\begin_inset Formula $\downarrow$
+\begin_layout Plain Layout
+\begin_inset Formula $\begin{cases}
+A & B>0\end{cases}$
\end_inset
-B
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+cases
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\begin_inset Info
+type "shortcut"
+arg "newline-insert newline"
+\end_inset
+
+
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox{5mm}{}{A \brace B}\raisebox{-2.5mm}{}$
+\begin_inset Formula $\begin{cases}
+A & \textrm{for }x>0\\
+B & \textrm{for }x=0
+\end{cases}$
\end_inset
\end_layout
+\begin_layout Standard
+After inserting
+\series bold
+
+\backslash
+cases
+\series default
+ 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
+\begin_inset Info
+type "shortcut"
+arg "newline-insert newline"
+\end_inset
+
+ or the table toolbar button
+\begin_inset Info
+type "icon"
+arg "inset-modify tabular append-row"
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Standard
+The command
+\series bold
+
+\backslash
+cases
+\series default
+ is also available via the menu
+\family sans
+Insert\SpecialChar \menuseparator
+Math\SpecialChar \menuseparator
+Cases-Environment
+\family default
+.
+\end_layout
+
\begin_layout Subsection
-Case Differentiations
-\begin_inset Index
+Negations
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
-Case differentiations
+Negations
\end_layout
\end_inset
\end_layout
+\begin_layout Standard
+By inserting
+\series bold
+
+\backslash
+not
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! N !
+\backslash
+not
+\end_layout
+
+\end_inset
+
+ every character can be displayed canceled.
+ The characters are quasi accentuated by a slash.
+\end_layout
+
\begin_layout Standard
\align center
\begin_inset Tabular
-<lyxtabular version="3" rows="3" columns="2">
-<features>
-<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" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-
-\backslash
-cases
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
-\end_inset
-
-A
-\begin_inset Formula $\to$
-\end_inset
-
-B>0
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Commands ! C !
-\backslash
-cases
-\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 Plain Layout
-\begin_inset Formula $\begin{cases}
-A & B>0\end{cases}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-
-\backslash
-cases
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
-\end_inset
-
-
-\begin_inset Info
-type "shortcut"
-arg "newline-insert newline"
-\end_inset
-
-
-\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
-\begin_inset Formula $\begin{cases}
-A & \textrm{for }x>0\\
-B & \textrm{for }x=0\end{cases}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-</lyxtabular>
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-After inserting
-\series bold
-
-\backslash
-cases
-\series default
- or the usage of the math toolbar button
-\begin_inset Graphics
- filename ../images/math/cases.png
- scale 85
-
-\end_inset
-
- you can create new lines with the shortcut
-\begin_inset Info
-type "shortcut"
-arg "newline-insert newline"
-\end_inset
-
- or the table toolbar button
-\begin_inset Graphics
- filename ../images/tabular-feature_append-row.png
- scale 85
-
-\end_inset
-
-.
-\end_layout
-
-\begin_layout Standard
-The command
-\series bold
-
-\backslash
-cases
-\series default
- is also available via the menu
-\family sans
-Insert\SpecialChar \menuseparator
-Math\SpecialChar \menuseparator
-Cases-Environment
-\family default
-.
-\end_layout
-
-\begin_layout Subsection
-Negations
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Negations
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-By inserting of
-\series bold
-
-\backslash
-not
-\series default
-
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Commands ! N !
-\backslash
-not
-\end_layout
-
-\end_inset
-
- every character can be displayed canceled.
- The characters are quasi accentuated by a slash.
-\end_layout
-
-\begin_layout Standard
-\align center
-\begin_inset Tabular
-<lyxtabular version="3" rows="4" columns="2">
-<features>
+<lyxtabular version="3" rows="4" columns="2">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\end_layout
\begin_layout Standard
-The last example shows, that not all negations look good.
- Therefore there are for some negations special commands (see
+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 "sub:Mathematical-Symbols"
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
status collapsed
\begin_layout Plain Layout
-More about chemical symbols is written in
+Typesetting isotopes and chemical symbols is described in
\begin_inset CommandInset ref
LatexCommand ref
reference "sub:Chemical-Symbols-and"
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
phantom
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<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 Plain Layout
^19
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
_
\backslash
phantom
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
1
\end_inset
9
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
F
\begin_layout Plain Layout
^235
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
_
\backslash
phantom
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
23
\end_inset
9
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
F
\backslash
Lambda^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
phantom
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
ii
\end_inset
t
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
_MMt
vphantom
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
hphantom
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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 Plain Layout
-
-
-\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
.
\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 Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
overline
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A+B
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
underline
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A+B
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
overline
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
underline
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A+B
\end_layout
\begin_layout Standard
-To double underline e.
-\begin_inset space \thinspace{}
-\end_inset
-
-g.
-\begin_inset space \space{}
-\end_inset
-
-results, one uses
+To double underline use
\series bold
\backslash
rule
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
rule
\series default
- can also be used for text when it is inserted in TeX-mode.
+ 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
+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
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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
ldots
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
cdots
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
dots
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
\align center
\begin_inset Tabular
-<lyxtabular version="3" rows="8" columns="2">
-<features>
+<lyxtabular version="3" rows="9" columns="2">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Plain Layout
A_1
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
,
\backslash
dots
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
,A_n
\begin_layout Plain Layout
A_1
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
+
\backslash
dots
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
+A_n
\begin_layout Plain Layout
A_1
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
,
\backslash
ldots
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
,A_n
\begin_layout Plain Layout
A_1
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
+
\backslash
cdots
-\begin_inset ERT
-status collapsed
+\begin_inset space \textvisiblespace{}
+\end_inset
+
++A_n
+\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
+\begin_inset Formula $A_{1}+\cdots+A_{n}$
+\end_inset
-\backslash
-spce
\end_layout
\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
-+A_n
+\begin_layout Plain Layout
+
+\backslash
+vdots
\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" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A_{1}+\cdots+A_{n}$
+\begin_inset Formula $\vdots$
\end_inset
\begin_layout Plain Layout
\backslash
-vdots
+ddots
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\vdots$
+\begin_inset Formula $\ddots$
\end_inset
\begin_layout Plain Layout
\backslash
-ddots
+iddots
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\ddots$
+\begin_inset Formula $\iddots$
\end_inset
\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
\begin_inset VSpace medskip
\end_inset
+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
hdotsfor
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
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
dotfill
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain 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
A
\backslash
dotfill
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
B
\end_layout
\begin_layout Standard
-Analog to
+Similar to
\series bold
\backslash
hrulefill
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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
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
\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.
\emph on
c
\emph default
- centered, and
+ centered and
\emph on
r
\emph default
\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
\begin_inset Formula $\begin{array}{lll}
10000 & D & G\\
B & 10000 & H\\
-C & F & 10000\end{array}$
+C & F & 10000
+\end{array}$
\end_inset
,
\begin_inset Formula $\begin{array}{ccc}
10000 & D & G\\
B & 10000 & H\\
-C & F & 10000\end{array}$
+C & F & 10000
+\end{array}$
\end_inset
,
\begin_inset Formula $\begin{array}{rrr}
10000 & D & G\\
B & 10000 & H\\
-C & F & 10000\end{array}$
+C & F & 10000
+\end{array}$
\end_inset
\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 "inset-modify tabular append-row"
\end_inset
,
-\begin_inset Graphics
- filename ../images/tabular-feature_delete-row.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "inset-modify tabular delete-row"
\end_inset
, etc.
\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
left
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
right
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<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
\backslash
bmatrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
2
\begin_layout Plain Layout
\begin_inset Formula $\raisebox{7.5mm}{}\begin{bmatrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{bmatrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{bmatrix}\raisebox{-5.3mm}{}$
\end_inset
\backslash
Bmatrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
2
\begin_layout Plain Layout
\begin_inset Formula $\raisebox{7.5mm}{}\begin{Bmatrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{Bmatrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{Bmatrix}\raisebox{-5.3mm}{}$
\end_inset
\backslash
pmatrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
2
\begin_layout Plain Layout
\begin_inset Formula $\raisebox{7.5mm}{}\begin{pmatrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{pmatrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{pmatrix}\raisebox{-5.3mm}{}$
\end_inset
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<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
\backslash
vmatrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
2
\begin_layout Plain Layout
\begin_inset Formula $\raisebox{7.5mm}{}\begin{vmatrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{vmatrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{vmatrix}\raisebox{-5.3mm}{}$
\end_inset
\backslash
Vmatrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
2
\begin_layout Plain Layout
\begin_inset Formula $\raisebox{7.5mm}{}\begin{Vmatrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{Vmatrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{Vmatrix}\raisebox{-5.3mm}{}$
\end_inset
\backslash
matrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
2
\begin_layout Plain Layout
\begin_inset Formula $\raisebox{7.5mm}{}\begin{matrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{matrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{matrix}\raisebox{-5.3mm}{}$
\end_inset
\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
arraycolsep
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
arraystretch
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
renewcommand{
\backslash
arraystretch}{stretch factor}
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
smallmatrix
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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.
\begin_layout Section
Brackets and Delimiters
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Subsection
Vertical Brackets and Delimiters
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
textbackslash
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
\series default
- produces there a line break.
+ produces a line break there.
\end_layout
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
big
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
bigg
\series default
-, and
+ and
\series bold
\backslash
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
Big((A+B)(A-B)
\backslash
Big)^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
C
ln(3x)
\backslash
big}^2
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
sin(x)
\backslash
Big]^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
bigm
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
bigr
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
-<column alignment="center" valignment="middle" width="0">
-<column alignment="center" valignment="middle" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="middle">
+<column alignment="center" valignment="middle">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
ln(3x)
\backslash
bigm)^2
-\series bold
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
-\series default
-
\backslash
Bigm)
\end_layout
ln(3x)
\backslash
big)^2
-\series bold
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
-\series default
-
\backslash
Big)
\end_layout
ln(3x)
\backslash
bigr)^2
-\series bold
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
-\series default
-
\backslash
Bigr)
\end_layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
left
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
right
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain 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
.
ln(
\backslash
frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\end_inset
C
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\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
left(
\backslash
frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\end_inset
C
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
right)
\series default
creates
-\begin_inset Formula \[
-\ln\left(\frac{A}{C}\right)\]
+\begin_inset Formula
+\[
+\ln\left(\frac{A}{C}\right)
+\]
\end_inset
(
\backslash
frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
left.
\backslash
frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\end_inset
B
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
creates:
\series bold
-\begin_inset Formula \[
-\left.\frac{A}{B}\right\} \]
+\begin_inset Formula
+\[
+\left.\frac{A}{B}\right\}
+\]
\end_inset
middle
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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
\begin_layout Subsection
Horizontal Brackets
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
overbrace
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A+B
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
-^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
-\end_inset
-
-3
+^3
\begin_inset ERT
status collapsed
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
underbrace
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A+B
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
_5
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
overbrace
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
underbrace
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A+B_w
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
_7
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
C
is inserted at first.
\end_layout
+\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
+
+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 rotate="0" 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
+
+
+\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" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+raisebox{2.3mm}{
+\end_layout
+
+\end_inset
+
+
+\backslash
+
+\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
+
+^3
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+}
+\end_layout
+
+\end_inset
+
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! O !
+\backslash
+overbracket
+\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 Plain Layout
+\begin_inset Formula $\overbracket{A+B}^{3}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+raisebox{-2.2mm}{
+\end_layout
+
+\end_inset
+
+
+\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
+{A+B
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+_5
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+}
+\end_layout
+
+\end_inset
+
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! U !
+\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
+\end_layout
+
+\end_inset
+
+
+\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
+\begin_inset Formula $\underbracket{A+B}_{5}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+overbracket{
+\backslash
+underbracket{A+B_w
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+_7
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\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" bottomline="true" leftline="true" rightline="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>
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+For
+\series bold
+
+\backslash
+overbracket
+\series default
+ and
+\series bold
+
+\backslash
+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
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="3" columns="2">
+<features rotate="0" 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
+
+
+\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" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+raisebox{2.3mm}{
+\end_layout
+
+\end_inset
+
+
+\backslash
+
+\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
+{A+B
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+^3
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+}
+\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 Plain Layout
+\begin_inset Formula $\overbracket[3pt]{A+B}^{3}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+raisebox{-2.2mm}{
+\end_layout
+
+\end_inset
+
+
+\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
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+}
+\end_layout
+
+\end_inset
+
+
+\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
+\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 are needed that overlap each other, multiline formulas, as
- described in
+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*}
+\begin_inset Formula
+\begin{eqnarray*}
A & = & \underbrace{gggg+bbqq}_{r}+\: dddd\\
- & & \hphantom{gggg+\:}\underbrace{\hphantom{bbqq+dddd}}_{s}\end{eqnarray*}
+ & & \hphantom{gggg+\:}\underbrace{\hphantom{bbqq+dddd}}_{s}
+\end{eqnarray*}
\end_inset
status collapsed
\begin_layout Plain Layout
-because a bracket is not handled as character, see
+because a bracket is not handled as a character, see
\begin_inset CommandInset ref
LatexCommand ref
reference "sub:Binary-Operators"
\end_layout
\begin_layout Standard
-It gets more complicated when brackets overlap each other, like in the following
- example:
+It gets more complicated when brackets overlap each other above and under
+ the formula, like in the following example:
\begin_inset ERT
status collapsed
\end_inset
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
& & \hphantom{gggg+\:}\overbrace{\hphantom{bbqq+dddd}}^{s}\\
-A & = & \underbrace{gggg+bbqq}_{r}+\: dddd\end{eqnarray*}
+A & = & \underbrace{gggg+bbqq}_{r}+\: dddd
+\end{eqnarray*}
\end_inset
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
+ the formula, the row spacing needs to be reduced.
+ This is not easily possible due to a bug in LyX.
\begin_inset Foot
status collapsed
\begin_inset CommandInset href
LatexCommand href
name "LyX-bug #1505"
-target "http://bugzilla.lyx.org/show_bug.cgi?id=1505"
+target "http://www.lyx.org/trac/ticket/1505"
\end_inset
\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 Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Section
Arrows
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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.
\end_layout
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
\begin_layout Subsection
Horizontal Arrows
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset VSpace medskip
\end_inset
-Arrows used as accent like e.
+Arrows used as accents like e.
\begin_inset space \thinspace{}
\end_inset
\end_inset
Furthermore there are the labeled arrows
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
xleftarrow
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
xrightarrow
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
F(a)
\backslash
xleftarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
x=a
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox{5mm}{}F(a)\xleftarrow[x>0]{x=a}F(x)\raisebox{-4mm}{}$
+\begin_inset Formula $\raisebox{5.5mm}{}F(a)\xleftarrow[x>0]{x=a}F(x)\raisebox{-4mm}{}$
\end_inset
F(x)
\backslash
xrightarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
x=a
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox{5mm}{}F(x)\xrightarrow[x>0]{x=a}F(a)\raisebox{-4mm}{}$
+\begin_inset Formula $\raisebox{5.5mm}{}F(x)\xrightarrow[x>0]{x=a}F(a)\raisebox{-4mm}{}$
\end_inset
\end_layout
-\begin_layout Subsection
-Vertical and diagonal Arrows
-\begin_inset Index
-status collapsed
+\begin_layout Standard
+\begin_inset VSpace medskip
+\end_inset
+
-\begin_layout Plain Layout
-Arrows ! diagonal
\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
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
-Arrows ! vertical
+Packages ! mathtools
\end_layout
\end_inset
+ the option
+\family sans
+Load
+\begin_inset space ~
+\end_inset
+always
+\family default
+, you have access to the following labeled arrows:
\end_layout
\begin_layout Standard
-\begin_inset space \hfill{}
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\align center
+\begin_inset space \hspace*{\fill}
\end_inset
\begin_inset Tabular
<lyxtabular version="3" rows="7" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Text
\begin_layout Plain Layout
-Result
+Example
+\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
+
+
\end_layout
\end_inset
\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
+xleftrightarrow
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\uparrow$
+\begin_inset Formula $\raisebox{6mm}{}\xleftrightarrow[x=a]{x>0}\raisebox{-4mm}{}$
\end_inset
\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
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\Uparrow$
+\begin_inset Formula $\raisebox{6mm}{}\xLeftarrow[x=a]{x>0}\raisebox{-4mm}{}$
\end_inset
\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
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\updownarrow$
+\begin_inset Formula $\raisebox{6mm}{}\xRightarrow[x=a]{x>0}\raisebox{-4mm}{}$
\end_inset
\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
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\Updownarrow$
+\begin_inset Formula $\raisebox{6mm}{}\xLeftrightarrow[x=a]{x>0}\raisebox{-4mm}{}$
\end_inset
</cell>
</row>
<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\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" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\Downarrow$
+\begin_inset Formula $\raisebox{6mm}{}\xhookleftarrow[x=a]{x>0}\raisebox{-4mm}{}$
\end_inset
</cell>
</row>
<row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\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" bottomline="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 Plain Layout
-\begin_inset Formula $\downarrow$
+\begin_inset Formula $\raisebox{6mm}{}\xhookrightarrow[x=a]{x>0}\raisebox{-4mm}{}$
\end_inset
\end_inset
-\begin_inset space \hfill{}
+\begin_inset space \hspace*{\fill}
\end_inset
\begin_inset Tabular
-<lyxtabular version="3" rows="5" columns="2">
-<features>
+<lyxtabular version="3" rows="7" columns="2">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Text
\begin_layout Plain Layout
-Result
+Example
+\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
+
+
\end_layout
\end_inset
\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
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\nearrow$
+\begin_inset Formula $\raisebox{6mm}{}\xleftharpoondown[x=a]{x>0}\raisebox{-4mm}{}$
\end_inset
\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
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\searrow$
+\begin_inset Formula $\raisebox{6mm}{}\xleftharpoonup[x=a]{x>0}\raisebox{-4mm}{}$
\end_inset
</cell>
</row>
<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\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" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\swarrow$
+\begin_inset Formula $\raisebox{6mm}{}\xrightharpoondown[x=a]{x>0}\raisebox{-4mm}{}$
\end_inset
</cell>
</row>
<row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\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" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\nwarrow$
+\begin_inset Formula $\raisebox{6mm}{}\xrightharpoonup[x=a]{x>0}\raisebox{-4mm}{}$
\end_inset
\end_inset
</cell>
</row>
-</lyxtabular>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
-\end_inset
+\begin_layout Plain Layout
+\backslash
-\begin_inset space \hfill{}
+\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
+
+\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 $\raisebox{6mm}{}\xleftrightharpoons[x=a]{x>0}\raisebox{-4mm}{}$
\end_inset
\end_layout
-\begin_layout Standard
-\begin_inset VSpace medskip
\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
-Vertical arrows can be used also as delimiter together with the commands
- described in
-\begin_inset CommandInset ref
-LatexCommand ref
-reference "sub:Manual-Bracket-Size"
+\begin_layout Plain Layout
-\end_inset
+\backslash
- and
-\begin_inset CommandInset ref
-LatexCommand ref
-reference "sub:Automatic-Bracket-Size"
+\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
\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
-.
-\end_layout
-
-\begin_layout Standard
-\begin_inset Newpage newpage
+\begin_layout Plain Layout
+\begin_inset Formula $\raisebox{6mm}{}\xrightleftharpoons[x=a]{x>0}\raisebox{-4mm}{}$
\end_inset
\end_layout
-\begin_layout Section
-Accents
-\begin_inset CommandInset label
-LatexCommand label
-name "sec:Accents"
-
\end_inset
+</cell>
+</row>
+</lyxtabular>
+\end_inset
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Accents
-\end_layout
+\begin_inset space \hspace*{\fill}
\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
-
-\end_inset
-
- or the commands listed in the following subsections.
+The command scheme is for all these arrows:
\end_layout
-\begin_layout Subsection
-Accents for one Character
-\begin_inset ERT
-status collapsed
+\begin_layout Standard
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="2" columns="2">
+<features rotate="0" 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
-
-
-\backslash
-texorpdfstring{
+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_inset Foot
+\begin_layout Plain Layout
+Result
+\begin_inset Note Note
status collapsed
\begin_layout Plain Layout
-accents in text see
-\begin_inset CommandInset ref
-LatexCommand ref
-reference "sub:Accents-in-Text"
-
-\end_inset
+\series bold
+\backslash
+raisebox
+\series default
+ is only used as spacer.
\end_layout
\end_inset
-\begin_inset ERT
-status collapsed
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="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
-
-
-\begin_inset Note Note
-status collapsed
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
\begin_layout Plain Layout
+\begin_inset Formula $\raisebox{6mm}{}F(a)\xleftrightarrow[x=a]{x>0}F(x)\raisebox{-4mm}{}$
+\end_inset
+
-\backslash
-texorpdfstring is used to avoid that the footnote appears in the PDF-bookmark.
\end_layout
-\begin_layout Plain Layout
-More about
-\backslash
-texorpdfstring is in section
-\begin_inset CommandInset ref
-LatexCommand ref
-reference "sub:Formulas-in-Section"
+\end_inset
+</cell>
+</row>
+</lyxtabular>
\end_inset
-.
-\end_layout
-\end_inset
+\end_layout
+\begin_layout Subsection
+Vertical and diagonal Arrows
+\begin_inset Index idx
+status collapsed
-\begin_inset CommandInset label
-LatexCommand label
-name "sub:Accents-for-one"
+\begin_layout Plain Layout
+Arrows ! diagonal
+\end_layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
-Accents ! for one character
+Arrows ! vertical
\end_layout
\end_inset
\begin_inset Tabular
-<lyxtabular version="3" rows="8" columns="2">
-<features>
+<lyxtabular version="3" rows="7" columns="2">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Plain Layout
Result
-\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
-
-
\end_layout
\end_inset
</cell>
</row>
<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\backslash
-dot
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
-\end_inset
-
-A
+uparrow
\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" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox{5mm}{}\dot{A}$
+\begin_inset Formula $\uparrow$
\end_inset
</cell>
</row>
<row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\backslash
-ddot
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
-\end_inset
-
-A
+Uparrow
\end_layout
\end_inset
</cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox{5mm}{}\ddot{A}$
+\begin_inset Formula $\Uparrow$
\end_inset
</cell>
</row>
<row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\backslash
-dddot
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
-\end_inset
-
-A
+updownarrow
\end_layout
\end_inset
</cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox{5mm}{}\dddot{A}$
+\begin_inset Formula $\updownarrow$
\end_inset
</cell>
</row>
<row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\backslash
-ddddot{A
+Updownarrow
\end_layout
\end_inset
</cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox{5mm}{}\ddddot{A}$
+\begin_inset Formula $\Updownarrow$
\end_inset
</cell>
</row>
<row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\backslash
-vec
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
+Downarrow
\end_layout
\end_inset
-
-A
-\begin_inset Index
-status collapsed
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
\begin_layout Plain Layout
-Vectors
+\begin_inset Formula $\Downarrow$
+\end_inset
+
+
\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
+downarrow
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox{5mm}{}\vec{A}$
+\begin_inset Formula $\downarrow$
\end_inset
\end_inset
</cell>
</row>
-<row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
-\begin_inset Text
+</lyxtabular>
-\begin_layout Plain Layout
+\end_inset
-\backslash
-bar
-\begin_inset ERT
-status collapsed
+
+\begin_inset space \hfill{}
+\end_inset
+
+
+\begin_inset Tabular
+<lyxtabular version="3" rows="5" columns="2">
+<features rotate="0" 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
-\backslash
-spce
+\begin_layout Plain Layout
+Result
\end_layout
\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
-A
+\begin_layout Plain Layout
+
+\backslash
+nearrow
\end_layout
\end_inset
</cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox{5mm}{}\bar{A}$
+\begin_inset Formula $\nearrow$
\end_inset
</cell>
</row>
<row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\backslash
-mathring
-\begin_inset ERT
-status collapsed
+searrow
+\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 $\searrow$
+\end_inset
+
+
+\end_layout
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
\backslash
-spce
+swarrow
\end_layout
\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
-A
+\begin_layout Plain Layout
+\begin_inset Formula $\swarrow$
+\end_inset
+
+
+\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
+nwarrow
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox{5mm}{}\mathring{A}$
+\begin_inset Formula $\nwarrow$
\end_inset
\end_inset
+\end_layout
+
+\begin_layout Standard
+\begin_inset VSpace medskip
+\end_inset
+
+Vertical arrows can be used also as delimiters together with the commands
+ described in
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sub:Manual-Bracket-Size"
+
+\end_inset
+
+ and
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sub:Automatic-Bracket-Size"
+
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Section
+Accents
+\begin_inset CommandInset label
+LatexCommand label
+name "sec:Accents"
+
+\end_inset
+
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Accents
+\end_layout
+
+\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
+
+ or the commands listed in the following subsections.
+\end_layout
+
+\begin_layout Subsection
+Accents for one Character
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+texorpdfstring{
+\end_layout
+
+\end_inset
+
+
+\begin_inset Foot
+status collapsed
+
+\begin_layout Plain Layout
+accents in text see
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sub:Accents-in-Text"
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+}{}
+\end_layout
+
+\end_inset
+
+
+\begin_inset Note Note
+status collapsed
+
+\begin_layout Plain Layout
+
+\series bold
+
+\backslash
+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 "sub:Formulas-in-Section"
+
+\end_inset
+
+.
+\end_layout
+
+\end_inset
+
+
+\begin_inset CommandInset label
+LatexCommand label
+name "sub:Accents-for-one"
+
+\end_inset
+
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Accents ! for one character
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset space \hfill{}
+\end_inset
+
+
\begin_inset Tabular
-<lyxtabular version="3" rows="7" columns="2">
-<features>
+<lyxtabular version="3" rows="8" columns="2">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Plain Layout
Result
+\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
+
+
\end_layout
\end_inset
\begin_layout Plain Layout
\backslash
-tilde
-\begin_inset ERT
-status collapsed
+dot
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A
+\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
+\begin_inset Formula $\raisebox{5mm}{}\dot{A}$
+\end_inset
-\backslash
-spce
\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
+ddot
+\begin_inset space \textvisiblespace{}
\end_inset
A
\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 Plain Layout
-\begin_inset Formula $\raisebox{5mm}{}\tilde{A}$
+\begin_inset Formula $\raisebox{5mm}{}\ddot{A}$
\end_inset
\begin_layout Plain Layout
\backslash
-hat
-\begin_inset ERT
-status collapsed
+dddot
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A
+\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 $\raisebox{5mm}{}\dddot{A}$
+\end_inset
-\backslash
-spce
\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
+ddddot
+\begin_inset space \textvisiblespace{}
\end_inset
A
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox{5mm}{}\hat{A}$
+\begin_inset Formula $\raisebox{5mm}{}\ddddot{A}$
\end_inset
\begin_layout Plain Layout
\backslash
-check
-\begin_inset ERT
+vec
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
+Vectors
+\end_layout
+
+\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 $\raisebox{5mm}{}\vec{A}$
+\end_inset
-\backslash
-spce
\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
+bar
+\begin_inset space \textvisiblespace{}
\end_inset
A
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox{5mm}{}\check{A}$
+\begin_inset Formula $\raisebox{5mm}{}\bar{A}$
\end_inset
\begin_layout Plain Layout
\backslash
-acute
-\begin_inset ERT
-status collapsed
+mathring
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A
+\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 $\raisebox{5mm}{}\mathring{A}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
+
+
+\begin_inset space \hfill{}
+\end_inset
+
+
+\begin_inset Tabular
+<lyxtabular version="3" rows="7" columns="2">
+<features rotate="0" 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" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+\begin_layout Plain Layout
\backslash
-spce
+tilde
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A
+\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
+\begin_inset Formula $\raisebox{5mm}{}\tilde{A}$
+\end_inset
+
+
\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
+hat
+\begin_inset space \textvisiblespace{}
\end_inset
A
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox{5mm}{}\acute{A}$
+\begin_inset Formula $\raisebox{5mm}{}\hat{A}$
\end_inset
\begin_layout Plain Layout
\backslash
-grave
-\begin_inset ERT
-status collapsed
+check
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A
+\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 $\raisebox{5mm}{}\check{A}$
+\end_inset
-\backslash
-spce
\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
+acute
+\begin_inset space \textvisiblespace{}
\end_inset
A
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox{5mm}{}\grave{A}$
+\begin_inset Formula $\raisebox{5mm}{}\acute{A}$
\end_inset
\begin_layout Plain Layout
\backslash
-breve
-\begin_inset ERT
-status collapsed
+grave
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A
+\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 $\raisebox{5mm}{}\grave{A}$
+\end_inset
-\backslash
-spce
\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
+breve
+\begin_inset space \textvisiblespace{}
\end_inset
A
You can directly insert accents like é to formulas.
LyX will transform them to the corresponding accent command.
For umlauts
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<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
\backslash
ddot
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
i
be inserted.
\end_layout
-\begin_layout Subsection
-Accents for Operators
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Accents ! for operators
-\end_layout
-
+\begin_layout Standard
+\begin_inset VSpace bigskip
\end_inset
\end_layout
\begin_layout Standard
-With the commands
+LyX also supports a tilde under the character if the LaTeX-package
\series bold
-
-\backslash
-overset
+undertilde
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
-Commands ! O !
-\backslash
-overset
+Packages ! undertilde
\end_layout
\end_inset
- and
-\series bold
-
-\backslash
-underset
-\series default
+ is installed on your system:
+\end_layout
-\begin_inset Index
+\begin_layout Standard
+\begin_inset ERT
status collapsed
\begin_layout Plain Layout
-Commands ! U !
+
+
\backslash
-underset
+ifundertilde
\end_layout
\end_inset
- characters can be placed above or below an operator, respectively, to accent
- it.
- With the command
-\series bold
-
-\backslash
-sideset
-\series default
-\begin_inset Index
-status collapsed
+\begin_inset Note Note
+status open
\begin_layout Plain Layout
-Commands ! S !
-\backslash
-sideset
+The following table will only be displayed when the LaTeX-package
+\series bold
+undertilde
+\series default
+ is installed.
\end_layout
\end_inset
- characters can be set before and behind an operator.
- The command scheme is:
+
\end_layout
\begin_layout Standard
+\noindent
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="2" columns="2">
+<features rotate="0" 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
-\series bold
+\begin_layout Plain Layout
+Command
+\end_layout
-\backslash
-sideset{character
-\series default
-
-\series bold
-before}{character
-\series default
-
-\series bold
-behind}
+\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
-\begin_layout Standard
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
-\series bold
+\begin_layout Plain Layout
\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
+utilde
+\begin_inset space \textvisiblespace{}
+\end_inset
-\backslash
-sideset
-\series default
- for example only characters behind an operator, write nothing between the
- first braces but don't omit the braces.
+A
\end_layout
-\begin_layout Standard
-For example the command
-\series bold
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
-\backslash
-sideset{
-\begin_inset Formula $\to$
+\begin_layout Plain Layout
+\begin_inset Formula $\raisebox{5mm}{}\utilde{A}$
\end_inset
-\backslash
-{
-\series default
-'
-\series bold
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
-\begin_inset Formula $\to$
\end_inset
-\backslash
-sum_k=1
+\end_layout
+
+\begin_layout Standard
\begin_inset ERT
status collapsed
\backslash
-spce
+else
\end_layout
\end_inset
-\series default
-^
+\begin_inset Note Note
+status open
+
+\begin_layout Plain Layout
+The following will be displayed when the LaTeX-package
\series bold
-n
+undertilde
\series default
- produces:
-\begin_inset Formula \[
-\sideset{}{'}\sum_{k=1}^{n}\]
+ is not installed:
+\end_layout
\end_inset
\end_layout
\begin_layout Standard
-The command
+You need to install the LaTeX-package
\series bold
-
-\backslash
-overset
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
+undertilde
+\series default
+ to see the rest of this subsection in the output.
\end_layout
-\end_inset
-
-
-\backslash
-maltese
+\begin_layout Standard
\begin_inset ERT
status collapsed
\backslash
-spce
+fi
\end_layout
\end_inset
-\series default
-
-\begin_inset Formula $\uparrow$
-\end_inset
-
-
-\series bold
-a
-\series default
- produces:
-\begin_inset Formula \[
-\overset{a}{\maltese}\]
+\end_layout
+\begin_layout Standard
+\begin_inset Newpage newpage
\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
-\series bold
-\backslash
-sideset
-\series default
- this is not possible.
\end_layout
\begin_layout Subsection
Accents for several Characters
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
overleftarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\backslash
underleftarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\backslash
overleftrightarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\backslash
underleftrightarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
overrightarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\backslash
underrightarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\backslash
widetilde
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\backslash
widehat
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\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
overset
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
underset
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
underset
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
***
\series default
creates:
-\begin_inset Formula \[
-\underset{***}{A=B}\]
+\begin_inset Formula
+\[
+\underset{***}{A=B}
+\]
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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
\begin_inset Info
type "shortcut"
-arg "space-insert protected"
+arg "command-alternatives space-insert protected ; math-space"
\end_inset
).
\color blue
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\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.
\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" width="6.8cm">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<lyxtabular version="3" rows="6" columns="3">
+<features rotate="0" 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" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain 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 Plain Layout
-
-\backslash
-,
+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 Plain Layout
-
-\backslash
-:
+Result
\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
-;
+,
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-
-\backslash
-quad
+0
\end_layout
\end_inset
</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-
-\backslash
-qquad
-\end_layout
-
+\begin_inset Formula $A\, B$
\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-\begin_layout Plain Layout
-\backslash
-!
\end_layout
\end_inset
\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" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-\begin_layout Plain Layout
-0
+\backslash
+:
\end_layout
\end_inset
\end_inset
</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-2
+\begin_inset Formula $A\: B$
+\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
-3
+
+\backslash
+;
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-4
+2
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-5
-\end_layout
-
+\begin_inset Formula $A\; B$
\end_inset
-</cell>
-</row>
-<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
-\begin_inset Text
-\begin_layout Plain Layout
-Result
+
\end_layout
\end_inset
</cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A\, B$
-\end_inset
-
+\backslash
+quad
\end_layout
\end_inset
</cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A\: B$
-\end_inset
-
-
+3
\end_layout
\end_inset
</cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A\; B$
+\begin_inset Formula $A\quad B$
\end_inset
\end_inset
</cell>
+</row>
+<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A\quad B$
-\end_inset
-
+\backslash
+qquad
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A\qquad B$
-\end_inset
-
-
+4
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A\! B$
+\begin_inset Formula $A\qquad B$
\end_inset
\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" width="6.8cm">
-<column alignment="center" valignment="top" width="0pt">
-<column alignment="center" valignment="top" width="0pt">
+<lyxtabular version="3" rows="6" columns="3">
+<features rotate="0" 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_inset Text
\begin_layout Plain Layout
-
-\backslash
-negmedspace
+Number of
+\family sans
+Space
+\family default
+ keystrokes
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-
-\backslash
-negthickspace
+Result
\end_layout
\end_inset
</cell>
</row>
<row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="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
+
+\backslash
+hfill
\end_layout
\end_inset
</cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-6
+5
\end_layout
\end_inset
</cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-7
+\begin_inset Formula $A\hfill B$
+\end_inset
+
+
\end_layout
\end_inset
</cell>
</row>
<row>
-<cell multicolumn="1" alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-Result
+
+\backslash
+hspace*{1em}
\end_layout
\end_inset
</cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A\negmedspace B$
-\end_inset
-
-
+6
\end_layout
\end_inset
</cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A\negthickspace B$
+\begin_inset Formula $A\hspace*{1em}B$
\end_inset
\end_inset
</cell>
</row>
-</lyxtabular>
-
-\end_inset
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+\begin_layout Plain Layout
+\backslash
+hspace{1em}
\end_layout
-\begin_layout Standard
-Negative spaces can lead to characters overlapping each other.
- Thus they can be used to enforce ligatures, what is 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>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-Command
+7
\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" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Plain Layout
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
+\begin_inset Formula $A\hspace{1em}B$
\end_inset
\begin_layout Plain Layout
\backslash
-sum
-\backslash
-sum
-\begin_inset ERT
-status collapsed
-\begin_layout Plain Layout
+\begin_inset space \textvisiblespace{}
+\end_inset
-\backslash
-spce
\end_layout
\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
-f_kl
+\begin_layout Plain Layout
+8
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox{4.5mm}{}\sum\sum f_{kl}\raisebox{-2.5mm}{}$
+\begin_inset Formula $A\ B$
\end_inset
\begin_layout Plain Layout
\backslash
-sum
-\backslash
-negmedspace
-\backslash
-sum
-\begin_inset ERT
-status collapsed
+!
+\end_layout
-\begin_layout Plain Layout
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+9
+\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
+\begin_inset Formula $A\! B$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+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 "sub:Variable-Space"
+
+\end_inset
+
+.
+ Space
+\begin_inset space ~
+\end_inset
+
+9 seems 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 rotate="0" 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" 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" usebox="none">
+\begin_inset Text
+
+\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
+</cell>
+</row>
+<row>
+<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
+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 rotate="0" tabularvalignment="middle">
+<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 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
+\begin_inset Note Note
+status collapsed
+
+\begin_layout Plain Layout
+
+\series bold
\backslash
-spce
+raisebox
+\series default
+ is only used as spacer.
+\end_layout
+
+\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
+sum
+\backslash
+sum
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+f_kl
+\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 $\raisebox{4.5mm}{}\sum\sum f_{kl}\raisebox{-2.5mm}{}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+sum
+\backslash
+negmedspace
+\backslash
+sum
+\begin_inset space \textvisiblespace{}
\end_inset
f_kl
\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 TeX-brace.
The following example demonstrates this:
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\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
\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 rotate="0" tabularvalignment="middle">
+<column alignment="left" valignment="top">
+<column alignment="left" valignment="top">
<row>
<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
hspace
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\color blue
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\color blue
-\begin_inset ERT
-status collapsed
+\begin_inset space \textvisiblespace{}
+\end_inset
-\begin_layout Plain Layout
+\color inherit
+
+\begin_inset Quotes erd
+\end_inset
+
+.
+ The length may also be negative.
+ 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
-spce
-\end_layout
+hspace*
+\series default
+ instead of
+\series bold
+
+\backslash
+hspace
+\series default
+ or left-click on the
+\begin_inset Quotes eld
+\end_inset
+
+
+\color blue
+\begin_inset space \textvisiblespace{}
\end_inset
\begin_inset Quotes erd
\end_inset
+ and check the option
+\family sans
+Protect
+\family default
.
- The length may also be negative.
- To insert so many space that the formula uses all available space, the
- command
+\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
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<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
A=B
\backslash
hspace
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
-\end_inset
-
-
-\begin_inset Formula $\to$
+\begin_inset space \textvisiblespace{}
\end_inset
A
A
\backslash
hspace
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
-\end_inset
-
-
-\begin_inset Formula $\to$
+\begin_inset space \textvisiblespace{}
\end_inset
A
A=A
\backslash
hfill
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
B=B
\begin_layout Subsection
Space besides inline Formulas
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
mathsurround
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
.
The value of a length is set with the command
\series bold
\backslash
setlength
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
- that has the following scheme:
+ which has the following scheme:
\end_layout
\begin_layout Standard
\begin_layout Section
Boxes and Frames
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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 Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
boxed
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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
\family sans
Ctrl+M
\family default
- within this box
-\begin_inset Foot
-status collapsed
-
-\begin_layout Plain Layout
-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 CommandInset href
-LatexCommand href
-name "LyX-bug #1435"
-target "http://bugzilla.lyx.org/show_bug.cgi?id=1435"
-
-\end_inset
-
-.
-\end_layout
-
-\end_inset
-
-, because the box content will otherwise be treated as mathematical text.
+ within this box, because the box content will otherwise be treated as mathemati
+cal text.
When
\series bold
\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
\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 Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Newline newline
\end_inset
-Is no width given, also no position can be given.
+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
\begin_layout Standard
\align center
-\begin_inset Note Note
-status open
-
-\begin_layout Plain Layout
-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 Plain Layout
-\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<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 Plain Layout
Command
-\begin_inset Foot
-status collapsed
-
-\begin_layout Plain Layout
-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 CommandInset href
-LatexCommand href
-name "LyX-bug #1435"
-target "http://bugzilla.lyx.org/show_bug.cgi?id=1435"
-
-\end_inset
-
-.
-\end_layout
-
-\end_inset
-
-
\end_layout
\end_inset
\backslash
fbox
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox{6mm}{}\fbox{$\int A=B$}\raisebox{-4mm}{}$
+\begin_inset Formula $\raisebox{6mm}{}\fbox{\ensuremath{\int A=B}}\raisebox{-4mm}{}$
\end_inset
\backslash
boxed
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
A+
\backslash
fbox
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
B
\backslash
framebox
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
20mm
\backslash
frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\end_inset
-\begin_inset Formula $\framebox[20mm][]{$\frac{A}{B}$}$
+\begin_inset Formula $\framebox[20mm][]{\ensuremath{\frac{A}{B}}}$
\end_inset
\end_inset
-\end_layout
-
-\end_inset
-
-
\end_layout
\begin_layout Standard
\end_inset
-\begin_inset Formula \[
-\boxed{A+B=C}\]
+\begin_inset Formula
+\[
+\boxed{A+B=C}
+\]
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
mbox
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
makebox
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-, and
+ and
\series bold
\backslash
raisebox
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
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 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" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<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
Ctrl+M
\family default
+\family sans
+Ctrl+M
+\family default
+
\backslash
sqrt
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
B
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-$A=
-\backslash
-raisebox{-2mm}{$
-\backslash
-sqrt{B}$}$
-\end_layout
-
+\begin_inset Formula $A=\raisebox{-2mm}{\mbox{\ensuremath{\sqrt{B}}}}$
\end_inset
\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 Plain Layout
-see
-\begin_inset CommandInset href
-LatexCommand href
-name "LyX-bug #1435"
-target "http://bugzilla.lyx.org/show_bug.cgi?id=1435"
-
-\end_inset
-
-
-\end_layout
-
-\end_inset
-
-
\end_layout
\begin_layout Standard
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
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
colorbox
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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
\backslash
fcolorbox
\series default
-.
- Thereby note
-\begin_inset CommandInset href
-LatexCommand href
-name "LyX-bug #1435"
-target "http://bugzilla.lyx.org/show_bug.cgi?id=1435"
-
-\end_inset
-
.
\end_layout
\series bold
white
\series default
-, and
+ and
\series bold
yellow
\end_layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<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
{
\backslash
fbox
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\backslash
fbox
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\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
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox{6mm}{}\fbox{\colorbox{green}{A=B}}\raisebox{-3mm}{}$
+\begin_inset Formula $\raisebox{7mm}{}\fbox{\colorbox{green}{\mbox{\ensuremath{\int C=D}}}}\raisebox{-5mm}{}$
\end_inset
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
\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
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
\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
fcolorbox
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Formula \[
-\fcolorbox{cyan}{magenta}{A=B}\]
+\begin_inset Formula
+\[
+\fcolorbox{cyan}{magenta}{A=B}
+\]
\end_inset
0.5}
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\series bold
yellow
\series default
-, and
+ and
\series bold
black
\series default
\series bold
green
\series default
-, and
+ and
\series bold
blue
\series default
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
textcolor
\series default
:
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
textcolor
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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
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
.
has_inner_box 1
inner_pos "t"
use_parbox 1
+use_makebox 0
width "5cm"
special "none"
height "1in"
\emph on
Decoration
\emph default
-: Recangular box,
+: Rectangular box,
\emph on
Inner Box
\emph default
parbox
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain 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
\backslash
linewidth
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
is hereby the line width set for the document.
Because the frame is outside the parbox, 2
\begin_inset space \thinspace{}
\begin_inset CommandInset href
LatexCommand href
name "LyX-bug #4483"
-target "http://bugzilla.lyx.org/show_bug.cgi?id=4483"
+target "http://www.lyx.org/trac/ticket/4483"
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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
\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
\end_inset
- Then the description follows as normal text, and finally
+ Then the description follows as normal text and finally
\series bold
}}
\backslash
\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
\begin_layout Section
Operators
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
int
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
sum
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
prod
-\begin_inset Index
+\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
\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
.
\end_layout
\begin_layout Standard
-For all integral operators there is a second version available, ending on
+For all integral operators there is a second version available, ending in
\series bold
op
\end_layout
\begin_layout Subsubsection*
-Advices for Integrals
+Advice for Integrals
\end_layout
\begin_layout Standard
\end_inset
-\begin_inset ERT
-status collapsed
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-
-
-\backslash
-hphantom{in}
+in
\end_layout
\end_inset
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<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_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<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
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
prod^
\backslash
infty
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\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
\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
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
subarray
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
substack
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
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
^
\series bold
n
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
_
\backslash
subarray
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
hfill
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
there can be too much space beside an operator, because the characters
following the operator are set beside the limits.
+ To avoid this the command
+\series bold
+
+\backslash
+smashoperator
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! S !
+\backslash
+smashoperator
\end_layout
-\begin_layout Standard
-To avoid this, the following macro can be used in the LaTeX-preamble:
+\end_inset
+
+ can be used.
+ To activate it, 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
+\end_inset
+ the option
+\family sans
+Load
+\begin_inset space ~
+\end_inset
+
+always
+\family default
+.
+
\series bold
\backslash
-def
-\backslash
-clap#1{
-\backslash
-hbox to 0pt{
-\backslash
-hss #1
-\backslash
-hss}}
+smashoperator
+\series default
+ sets the space besides the operator to 0
+\begin_inset space \thinspace{}
+\end_inset
+
+pt.
\begin_inset Newline newline
\end_inset
+Applied on formula
+\begin_inset CommandInset ref
+LatexCommand eqref
+reference "eq:substack"
-\backslash
-def
-\backslash
-mathclap {
-\backslash
-mathpalette
-\backslash
-mathclapinternal}
-\begin_inset Newline newline
\end_inset
+, one uses the command
+\end_layout
+
+\begin_layout Standard
+
+\series bold
\backslash
-def
-\backslash
-mathclapinternal #1#2{
+smashoperator{
+\end_layout
+
+\begin_layout Standard
+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
+
+
+\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
-clap{$
+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
-mathsurround =0pt #1{#2}$}}
+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
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset VSpace bigskip
+\end_inset
+
+
\end_layout
\begin_layout Standard
-This defines the command
+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
+
+\end_inset
+
+ the option
+\family sans
+Load
+\begin_inset space ~
+\end_inset
+
+always
+\family default
+.
+ Then insert into your formula the command
\series bold
\backslash
-mathclap
+adjustlimits
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
-Commands ! M !
+Commands ! A !
\backslash
-mathclap
+adjustlimits
\end_layout
\end_inset
- that sets the width of the limit to 0
-\begin_inset space \thinspace{}
+ 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
-pt.
- The command scheme is
+
\end_layout
\begin_layout Standard
+\begin_inset VSpace bigskip
+\end_inset
+
+How to use one limit for several operators is described in
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sub:Self-defined-Operators"
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Subsection
+Decoration for Operators
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Operators ! Decoration
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+With the commands
\series bold
\backslash
-mathclap{limit}
+overset
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! O !
+\backslash
+overset
\end_layout
-\begin_layout Standard
-where the limit can consist of several conditions.
+\end_inset
+
+ and
+\series bold
+
+\backslash
+underset
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! U !
+\backslash
+underset
\end_layout
-\begin_layout Standard
-Applied on formula
-\begin_inset CommandInset ref
-LatexCommand eqref
-reference "eq:substack"
+\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
-, one uses the command
+ characters can be set before and behind a big operator.
\end_layout
\begin_layout Standard
+There are 4
+\begin_inset space ~
+\end_inset
+variants of
\series bold
\backslash
-sum_
+sideset
+\series default
+:
+\end_layout
+
+\begin_layout Itemize
+
+\series bold
+
\backslash
-mathclap{
+sideset
+\series default
+ is used to set characters at the corners of the operator
+\end_layout
+
+\begin_layout Itemize
+
+\series bold
+
\backslash
-substack
-\begin_inset ERT
-status collapsed
+sidesetn
+\series default
+ is used to set characters before and/or behind the operator (this variant
+ represents LaTeX's original
+\series bold
-\begin_layout Plain Layout
+\backslash
+sideset
+\series default
+ command)
+\end_layout
+
+\begin_layout Itemize
+\series bold
\backslash
-spce
+sidesetl
+\series default
+ is used to set characters at the left corners and/or behind the operator
\end_layout
-\end_inset
+\begin_layout Itemize
-0<k<1000 Ctrl+Return
+\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
-to create the lower limit.
- The summand is now directly behind the summation operator:
-\begin_inset Formula \[
-\sum_{\mathclap{\substack{0<k<1000\\
-\\k\,\in\,\mathbb{N}}
-}}^{n}k^{-2}\]
+For example the command
+\series bold
+
+\backslash
+sidesetn
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\backslash
+sum
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\begin_inset Formula $\to$
+\end_inset
+
+'
+\begin_inset Formula $\to$
+\end_inset
+
+_k=1
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\series default
+^
+\series bold
+n
+\series default
+ produces:
+\begin_inset Formula
+\[
+\sideset{}{'}\sum_{k=1}^{n}
+\]
\end_inset
\end_layout
\begin_layout Standard
-\begin_inset VSpace bigskip
-\end_inset
+\begin_inset Note Greyedout
+status open
-How to use one limit for several operators is described in
-\begin_inset CommandInset ref
-LatexCommand ref
-reference "sub:Self-defined-Operators"
+\begin_layout Plain Layout
+
+\series bold
+Note:
+\backslash
+sideset
+\series default
+ can only be used to decorate big operators, binary operators are not allowed.
+\end_layout
\end_inset
-.
+
\end_layout
\begin_layout Standard
-\begin_inset Newpage newpage
+
+\series bold
+
+\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
+
+
+\backslash
+maltese
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\series default
+
+\begin_inset Formula $\uparrow$
+\end_inset
+
+
+\series bold
+a
+\series default
+ produces:
+\begin_inset Formula
+\[
+\overset{a}{\maltese}
+\]
+
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
Binary operators are surrounded by space when there is a character before
- and behind them.
+ and after them.
\begin_inset VSpace medskip
\end_inset
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\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
.
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
DeclareMathOperator
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
:
-\begin_inset Formula \[
-\Lozenge_{n=1}^{\infty}\]
+\begin_inset Formula
+\[
+\Lozenge_{n=1}^{\infty}
+\]
\end_inset
mathop
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
mathbin
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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
sum
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
^N
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\begin_layout Section
Fonts
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
\align center
\begin_inset Tabular
-<lyxtabular version="3" rows="6" columns="3">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<lyxtabular version="3" rows="7" columns="3">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<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
mathbb
\series bold
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\begin_layout Plain Layout
\begin_inset Info
-type "shortcut"
+type "shortcuts"
arg "font-noun"
\end_inset
mathbf
\series bold
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\begin_layout Plain Layout
\begin_inset Info
-type "shortcut"
+type "shortcuts"
arg "font-bold"
\end_inset
boldsymbol
\series bold
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
mathcal
\series bold
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\begin_layout Plain Layout
\begin_inset Info
-type "shortcut"
+type "shortcuts"
arg "font-emph"
\end_inset
</cell>
</row>
<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
mathfrak
\series bold
-\begin_inset ERT
-status collapsed
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\series default
+AbC
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
\begin_layout Plain Layout
+\begin_inset Formula $\mathfrak{AbC}$
+\end_inset
-\backslash
-spce
\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
+-
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" 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
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\mathfrak{AbC}$
+\begin_inset Formula $\mathscr{AbC}$
\end_inset
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="3">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<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
mathit
\series bold
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
mathrm
\series bold
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\begin_layout Plain Layout
\begin_inset Info
-type "shortcut"
+type "shortcuts"
arg "font-roman"
\end_inset
mathsf
\series bold
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\begin_layout Plain Layout
\begin_inset Info
-type "shortcut"
+type "shortcuts"
arg "font-sans"
\end_inset
mathtt
\series bold
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\begin_layout Plain Layout
\begin_inset Info
-type "shortcut"
+type "shortcuts"
arg "font-typewriter"
\end_inset
\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
\begin_layout Plain Layout
\begin_inset CommandInset href
LatexCommand href
-name "LyX-bug #4091"
-target "http://bugzilla.lyx.org/show_bug.cgi?id=4091"
+name "LyX-bug #4629"
+target "http://www.lyx.org/trac/ticket/4629"
\end_inset
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.
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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
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
\backslash
boldmath
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
in TeX-mode.
To end the environment, the command
\series bold
\backslash
unboldmath
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
is inserted in TeX-mode.
\begin_inset ERT
status collapsed
\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
\begin_layout Subsection
Colored Formulas
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\family default
dialog.
Here is a formula in magenta:
-\begin_inset Formula \[
-{\color{magenta}\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}}\]
+\begin_inset Formula
+\[
+{\color{magenta}\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}}
+\]
\end_inset
textcolor
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Formula \[
-\int A\,\mathrm{d}x=\frac{{\color{red}\sqrt[5]{B}}}{\ln\left(\frac{1}{3}\right)}\]
+\begin_inset Formula
+\[
+\int A\,\mathrm{d}x=\frac{{\color{red}\sqrt[5]{B}}}{\ln\left(\frac{1}{3}\right)}
+\]
\end_inset
\begin_inset CommandInset href
LatexCommand href
name "LyX-bug #5269"
-target "http://bugzilla.lyx.org/show_bug.cgi?id=5269"
+target "http://www.lyx.org/trac/ticket/5269"
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
scriptsize
\series default
-, and
+ and
\series bold
\backslash
\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
\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.
+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
+\noindent
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="5" columns="2">
+<features rotate="0" tabularvalignment="middle">
+<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 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
+\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
+
+
+\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
+displaystyle
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! D !
+\backslash
+displaystyle
+\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 Plain Layout
+\begin_inset Formula $\raisebox{6.5mm}{}{\displaystyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}\raisebox{-5.5mm}{}$
+\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
+textstyle
+\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 $\raisebox{4.5mm}{}{\textstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}\raisebox{-4mm}{}$
+\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
+scriptstyle
+\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 $\raisebox{4.5mm}{}{\scriptstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}\raisebox{-3.5mm}{}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+scriptscriptstyle
+\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
+\begin_inset Formula $\raisebox{4.5mm}{}{\scriptscriptstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}\raisebox{-3.5mm}{}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
+
+
+\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:
\end_inset
-\begin_inset Formula \[
-A=\frac{B}{c}\cdot\maltese\]
+\begin_inset Formula
+\[
+A=\frac{B}{c}\cdot\maltese
+\]
\end_inset
-\begin_inset Formula \[
-\maltese A\textrm{\Large\maltese\textit{A}}\textrm{\tiny\maltese\textit{A}}\]
+\begin_inset Formula
+\[
+\maltese A\textrm{\Large\maltese\textit{A}}\textrm{\tiny\maltese\textit{A}}
+\]
\end_inset
\backslash
maltese
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A Alt+M M
\backslash
Large
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
maltese
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
textit
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
M
\backslash
tiny
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
maltese
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
textit
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\begin_layout Section
Greek Letters
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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 Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="12" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\end_layout
\begin_layout Standard
-How to create upright Greek letters is explained in
+How to create special upright Greek letters is explained in
\begin_inset CommandInset ref
LatexCommand ref
reference "sub:Upright-small-Greek"
\begin_layout Subsection
Big Letters
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="7" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
varGamma
\series default
- produces:
+ produces
\begin_inset Formula $\varGamma$
\end_inset
+.
+ Another way is to load the package
+\series bold
+fixmath
+\series default
-\end_layout
-
-\begin_layout Subsection
-Bold Letters
-\begin_inset Index
+\begin_inset Foot
status collapsed
\begin_layout Plain Layout
-Greek letters ! bold
-\end_layout
-
-\end_inset
-
-\end_layout
-
-\begin_layout Standard
-Greek letters cannot be set with different font styles like Latin letters.
- They can only be made bold with the command
\series bold
-
-\backslash
-boldsymbol
+fixmath
+\series default
+ is part of the LaTeX-package
+\series bold
+was
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
-Commands ! B !
-\backslash
-boldsymbol
-\end_layout
-
-\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" width="0">
-<column alignment="center" valignment="top" width="0">
-<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" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-
-\backslash
-Upsilon
-\backslash
-boldsymbol
-\backslash
-Upsilon
-\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 $\Upsilon\boldsymbol{\Upsilon}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-
-\backslash
-theta
-\backslash
-boldsymbol
-\backslash
-theta
-\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
-\begin_inset Formula $\theta\boldsymbol{\theta}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-</lyxtabular>
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Section
-Symbols
+Packages ! was
\begin_inset ERT
status collapsed
\backslash
-texorpdfstring{
+vspace{4mm}
\end_layout
\end_inset
-\begin_inset Foot
-status collapsed
-
-\begin_layout Plain Layout
-A list with all symbols of most of the LaTeX-packages can be found in
-\begin_inset CommandInset citation
-LatexCommand cite
-key "Symbole"
+\end_layout
\end_inset
\end_inset
-\begin_inset ERT
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
-
-}{}
+Packages ! fixmath
\end_layout
\end_inset
+ with the LaTeX-preamble line
+\end_layout
-\begin_inset Note Note
-status collapsed
+\begin_layout Standard
-\begin_layout Plain Layout
+\series bold
\backslash
-texorpdfstring is used to avoid that the footnote appears in the PDF-bookmark.
+usepackage{fixmath}
\end_layout
-\begin_layout Plain Layout
-More about
-\backslash
-texorpdfstring is in section
-\begin_inset CommandInset ref
-LatexCommand ref
-reference "sub:Formulas-in-Section"
-
-\end_inset
-
-.
+\begin_layout Standard
+Then all big Greek letters in a document will automatically be typeset italic.
\end_layout
-\end_inset
-
-
-\begin_inset Index
+\begin_layout Subsection
+Bold Letters
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
-Symbols
+Greek letters ! bold
\end_layout
\end_inset
\end_layout
\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
-
-\end_inset
-
- and
-\begin_inset Graphics
- filename ../images/math/digamma.png
- scale 85
-
-\end_inset
-
-.
-\end_layout
-
-\begin_layout Subsection
-Mathematical Symbols
-\begin_inset CommandInset label
-LatexCommand label
-name "sub:Mathematical-Symbols"
-
-\end_inset
+Greek letters cannot be set with different font styles like Latin letters.
+ They can only be made bold with the command
+\series bold
+\backslash
+boldsymbol
+\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
-Symbols ! mathematical
+Commands ! B !
+\backslash
+boldsymbol
\end_layout
\end_inset
-
+.
\end_layout
\begin_layout Standard
-\begin_inset space \hfill{}
-\end_inset
-
-
+\align center
\begin_inset Tabular
-<lyxtabular version="3" rows="10" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0pt">
-<column alignment="center" valignment="top" width="0pt">
+<lyxtabular version="3" rows="3" columns="2">
+<features rotate="0" tabularvalignment="middle">
+<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 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" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+Upsilon
+\backslash
+boldsymbol
+\backslash
+Upsilon
+\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 $\Upsilon\boldsymbol{\Upsilon}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+theta
+\backslash
+boldsymbol
+\backslash
+theta
+\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
+\begin_inset Formula $\theta\boldsymbol{\theta}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Section
+Symbols
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+texorpdfstring{
+\end_layout
+
+\end_inset
+
+
+\begin_inset Foot
+status collapsed
+
+\begin_layout Plain Layout
+A list with all symbols of most of the LaTeX-packages can be found in
+\begin_inset CommandInset citation
+LatexCommand cite
+key "Symbols"
+
+\end_inset
+
+.
+\end_layout
+
+\end_inset
+
+
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+}{}
+\end_layout
+
+\end_inset
+
+
+\begin_inset Note Note
+status collapsed
+
+\begin_layout Plain Layout
+
+\backslash
+texorpdfstring is used to avoid that the footnote appears in the PDF-bookmark.
+\end_layout
+
+\begin_layout Plain Layout
+More about
+\backslash
+texorpdfstring is in section
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sub:Formulas-in-Section"
+
+\end_inset
+
+.
+\end_layout
+
+\end_inset
+
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Symbols
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Many of the symbols listed in this section can also be inserted via the
+ toolbar buttons
+\begin_inset Info
+type "icon"
+arg "math-insert \\nabla"
+\end_inset
+
+ and
+\begin_inset Info
+type "icon"
+arg "math-insert \\digamma"
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Subsection
+Mathematical Symbols
+\begin_inset CommandInset label
+LatexCommand label
+name "sub:Mathematical-Symbols"
+
+\end_inset
+
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Symbols ! mathematical
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset space \hfill{}
+\end_inset
+
+
+\begin_inset Tabular
+<lyxtabular version="3" rows="10" columns="2">
+<features rotate="0" 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_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<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_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset VSpace medskip
\end_inset
-More symbols are listed in
-\begin_inset CommandInset ref
-LatexCommand ref
-reference "sub:Miscellaneous-special-Characters"
-
-\end_inset
-.
\end_layout
\begin_layout Standard
\begin_layout Subsection
The Euro-Symbol €
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
eurosym
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
euro
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
officialeuro
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="3">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
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
-
+All following relations can also be inserted via the toolbar button
+\begin_inset Info
+type "icon"
+arg "math-insert \\leq"
\end_inset
.
\begin_inset Tabular
<lyxtabular version="3" rows="17" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="17" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="17" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
, respectively.
\end_layout
+\begin_layout Standard
+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
stackrel
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<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
A(r)
\backslash
stackrel
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
r
to
\backslash
infty
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
approx
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
B
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
.
- Therefore there are predefined functions, that are additionally a bit separated
+ Therefore there are predefined functionswhich are additionally a bit separated
from prefactors.
They are inserted as commands starting with a backslash before their name.
\end_layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="4">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="4">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\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
.
\begin_layout Subsection
Self-defined Functions
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
sgn}{sgn}
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Subsection
Limits
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Standard
-For limits there are defined besides
+For limits, in addition to the commands
\series bold
\backslash
lim
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<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
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
lim_x
\backslash
to
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
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 "sub:Operator-Limits"
+
+\end_inset
+
+.
+\end_layout
+
\begin_layout Subsection
Modulo-Functions
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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
\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 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 Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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
-\begin_inset space \hfill{}
-\end_inset
-
-
+\noindent
+\align center
\begin_inset Tabular
-<lyxtabular version="3" rows="8" columns="2">
-<features>
-<column alignment="block" valignment="top" width="0">
-<column alignment="block" valignment="top" width="0">
+<lyxtabular version="3" rows="3" columns="2">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="block" valignment="top">
+<column alignment="block" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\backslash
-oe
-\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 $\textrm{œ}$
-\end_inset
-
-
-\end_layout
-
+^
+\begin_inset space \textvisiblespace{}
\end_inset
-</cell>
-</row>
-<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-\begin_layout Plain Layout
-\backslash
-OE
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\textrm{Œ}$
+\begin_inset Formula $\mathcircumflex$
\end_inset
</cell>
</row>
<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 Plain Layout
\backslash
-ae
+_
\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 Plain Layout
-\begin_inset Formula $\textrm{æ}$
+\begin_inset Formula $\_$
\end_inset
\end_inset
</cell>
</row>
-<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-
-\backslash
-AE
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
+</lyxtabular>
-\begin_layout Plain Layout
-\begin_inset Formula $\textrm{Æ}$
\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
-aa
+\begin_layout Subsection
+Special Characters in Mathematical Text
\end_layout
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
+\begin_layout Standard
+The following commands can only be used in mathematical text or in TeX-mode:
+\end_layout
-\begin_layout Plain Layout
-\begin_inset Formula $\textrm{\aa}$
+\begin_layout Standard
+\begin_inset space \hfill{}
\end_inset
-\end_layout
-
-\end_inset
-</cell>
-</row>
+\begin_inset Tabular
+<lyxtabular version="3" rows="8" columns="2">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="block" valignment="top">
+<column alignment="block" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-
-\backslash
-AA
-\begin_inset Index
-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
-
-
+Command
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\textrm{Å}$
-\end_inset
-
-
+Result
\end_layout
\end_inset
</cell>
</row>
<row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\backslash
-i
-\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 $\textrm{ı}$
-\end_inset
-
-
+oe
\end_layout
\end_inset
</cell>
-</row>
-</lyxtabular>
-
-\end_inset
-
-
-\begin_inset space \hfill{}
-\end_inset
-
-
-\begin_inset Tabular
-<lyxtabular version="3" rows="8" columns="2">
-<features>
-<column alignment="block" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-command
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Plain Layout
-The space of 0
-\begin_inset space \thinspace{}
-\end_inset
-
-mm is used for separation, because otherwise the output will be ¡ and ¿
- respectively.
-\end_layout
-
+\begin_inset Formula $\textrm{œ}$
\end_inset
\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>
\begin_layout Plain Layout
\backslash
-o
+OE
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\textrm{ø}$
+\begin_inset Formula $\textrm{Œ}$
\end_inset
\begin_layout Plain Layout
\backslash
-O
+ae
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\textrm{Ã\98}$
+\begin_inset Formula $\textrm{æ}$
\end_inset
\begin_layout Plain Layout
\backslash
-l
+AE
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\textrm{ł}$
+\begin_inset Formula $\textrm{Æ}$
\end_inset
\begin_layout Plain Layout
\backslash
-L
+aa
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\textrm{Ł}$
+\begin_inset Formula $\textrm{\aa}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-!
-\begin_inset space \hspace{}
-\length 0mm
-\end_inset
-`
-\begin_inset ERT
+\backslash
+AA
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
-
\backslash
-spce
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
+@
+\begin_inset ERT
+status collapsed
\begin_layout Plain Layout
-\begin_inset Formula $\textrm{!`}$
-\end_inset
+\backslash
+textrm{
+\backslash
+AA}
\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
-?
-\begin_inset space \hspace{}
-\length 0mm
-\end_inset
-`
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
\end_layout
\end_inset
\end_inset
</cell>
-<cell alignment="center" valignment="top" bottomline="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 Plain Layout
-\begin_inset Formula $\textrm{?`}$
+\begin_inset Formula $\textrm{Å}$
\end_inset
\begin_layout Plain Layout
\backslash
-j
+i
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\textrm{ȷ}$
+\begin_inset Formula $\textrm{ı}$
\end_inset
\end_inset
-\end_layout
-
-\begin_layout Standard
-The characters
-\begin_inset Formula $\textrm{\textrm{Å}}$
-\end_inset
-
- and
-\begin_inset Formula $\textrm{\textrm{Ø}}$
-\end_inset
-
- can also be inserted via the math toolbar button
-\begin_inset Graphics
- filename ../images/math/digamma.png
- scale 85
-
-\end_inset
-
-.
-\end_layout
-
-\begin_layout Standard
-An exception are the commands
-\series bold
-!
-\begin_inset space \hspace{}
-\length 0mm
-\end_inset
-
-`
-\series default
- and
-\series bold
-?
-\begin_inset space \hspace{}
-\length 0mm
-\end_inset
-
-`
-\series default
-, because they can be inserted in LyX directly to text.
-\end_layout
-
-\begin_layout Subsection
-Accents in Text
-\begin_inset CommandInset label
-LatexCommand label
-name "sub:Accents-in-Text"
-
-\end_inset
-
+\begin_inset Tabular
+<lyxtabular version="3" rows="8" columns="2">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="block" 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_inset Index
+\begin_layout Plain Layout
+command
+\begin_inset Note Note
status collapsed
\begin_layout Plain Layout
-Accents ! in text
-\end_layout
-
+The space of 0
+\begin_inset space \thinspace{}
\end_inset
-
-\end_layout
-
-\begin_layout Standard
-With the following commands all letters can be accented.
- The commands must be inserted in TeX-mode.
+mm is used for separation, because otherwise the output will be ¡ and ¿
+ respectively.
\end_layout
-\begin_layout Standard
-\begin_inset space \hfill{}
\end_inset
-\begin_inset Tabular
-<lyxtabular version="3" rows="8" columns="2">
-<features>
-<column alignment="block" valignment="top" width="0">
-<column alignment="block" valignment="top" width="0">
-<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
\begin_layout Plain Layout
\backslash
+o
+\end_layout
-\begin_inset Quotes grd
+\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 $\textrm{ø}$
\end_inset
-e
+
\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" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset ERT
-status collapsed
+
+\backslash
+O
+\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 $\textrm{Ø}$
+\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
-"e
+l
\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 $\textrm{ł}$
+\end_inset
\end_layout
\begin_layout Plain Layout
\backslash
-`e
+L
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset ERT
-status collapsed
+\begin_inset Formula $\textrm{Ł}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
\begin_layout Plain Layout
+!
+\begin_inset space \hspace{}
+\length 0mm
+\end_inset
+
+`
+\begin_inset space \textvisiblespace{}
+\end_inset
-\backslash
-`e
\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
+\begin_inset Formula $\textrm{!`}$
+\end_inset
\end_layout
</cell>
</row>
<row>
-<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 Plain Layout
+?
+\begin_inset space \hspace{}
+\length 0mm
+\end_inset
-\backslash
-^
-\begin_inset ERT
-status collapsed
+`
+\begin_inset space \textvisiblespace{}
+\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 $\textrm{?`}$
+\end_inset
-\backslash
-spce
\end_layout
\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
-e
+\begin_layout Plain Layout
+
+\backslash
+j
\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 Plain Layout
-\begin_inset ERT
+\begin_inset Formula $\textrm{ȷ}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
+
+
+\begin_inset space \hfill{}
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+The characters
+\begin_inset Formula $\textrm{\textrm{Å}}$
+\end_inset
+
+ and
+\begin_inset Formula $\textrm{\textrm{Ø}}$
+\end_inset
+
+ can also be inserted via the math toolbar button
+\begin_inset Info
+type "icon"
+arg "math-insert \\digamma"
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Standard
+An exception are the commands
+\series bold
+!
+\begin_inset space \hspace{}
+\length 0mm
+\end_inset
+
+`
+\series default
+ and
+\series bold
+?
+\begin_inset space \hspace{}
+\length 0mm
+\end_inset
+
+`
+\series default
+, because they can be inserted in LyX directly to text.
+\end_layout
+
+\begin_layout Subsection
+Accents in Text
+\begin_inset CommandInset label
+LatexCommand label
+name "sub:Accents-in-Text"
+
+\end_inset
+
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
+Accents ! in text
+\end_layout
+
+\end_inset
-\backslash
-^e
\end_layout
+\begin_layout Standard
+With the following commands all letters can be accented.
+ The commands must be inserted in TeX-mode.
+\end_layout
+
+\begin_layout Standard
+\begin_inset space \hfill{}
\end_inset
+\begin_inset Tabular
+<lyxtabular version="3" rows="8" columns="2">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="block" valignment="top">
+<column alignment="block" 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
\begin_layout Plain Layout
\backslash
-=e
+
+\begin_inset Quotes grd
+\end_inset
+
+e
\end_layout
\end_inset
\backslash
-=e
+"e
\end_layout
\end_inset
\begin_layout Plain Layout
\backslash
-u
+`e
+\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 ERT
status collapsed
\backslash
-spce
+`e
\end_layout
\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
+^
+\begin_inset space \textvisiblespace{}
+\end_inset
+
e
\end_layout
\backslash
-u e
+^e
\end_layout
\end_inset
</cell>
</row>
<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\backslash
-b
+=e
+\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 ERT
status collapsed
\backslash
-spce
+=e
\end_layout
\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
+u
+\begin_inset space \textvisiblespace{}
+\end_inset
+
e
\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" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\backslash
-b e
+u e
\end_layout
\end_inset
</cell>
</row>
<row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\backslash
-t
+b
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+e
+\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
\begin_inset ERT
status collapsed
\backslash
-spce
+b e
\end_layout
\end_inset
+
+\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
+t
+\begin_inset space \textvisiblespace{}
+\end_inset
+
ee
\end_layout
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
-<column alignment="block" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="block" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\backslash
H
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
e
\backslash
~e
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
v
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
e
\backslash
d
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
e
\backslash
c
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
e
\backslash
t
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
sz
\series bold
'
\series default
- , and
+ and
\series bold
^
\series default
\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 CommandInset ref
textcircled
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain 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" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<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
\end_layout
\begin_layout Subsection
-Minuscule Numbers
-\begin_inset Index
+Old-style Figures
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
-Minuscule numbers
+Old-style Figures
\end_layout
\end_inset
\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 Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
-\begin_layout Subsection
-Miscellaneous special Characters
-\begin_inset CommandInset label
-LatexCommand label
-name "sub:Miscellaneous-special-Characters"
-
-\end_inset
-
-
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Special characters ! miscellaneous
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-The following characters can only be inserted to formulas by using commands:
-\end_layout
-
-\begin_layout Standard
-\align center
-\begin_inset Tabular
-<lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<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" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-
-\backslash
-^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\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 Plain Layout
-\begin_inset Formula $\mathcircumflex$
-\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
-_
-\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 $\_$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
-\end_inset
-
-
-\backslash
-circ
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-
-\backslash
-@°
-\end_layout
-
-\end_inset
-
-
-\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
-\begin_inset Formula $^{\circ}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-</lyxtabular>
-
-\end_inset
-
-
-\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
-
-\begin_layout Plain Layout
-More about this is described in
-\begin_inset CommandInset ref
-LatexCommand ref
-reference "sub:Text-Characters-in"
-
-\end_inset
-
-.
-\end_layout
-
-\end_inset
-
-:
-\end_layout
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-DeclareInputtext{176}{
-\backslash
-ifmmode^
-\backslash
-circ
-\backslash
-else
-\backslash
-textdegree
-\backslash
-fi}
-\end_layout
-
\begin_layout Section
Formula Styles
\begin_inset CommandInset label
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
mathindent
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
In LyX multiline formulas are created by pressing
-\series bold
-
\begin_inset Info
type "shortcut"
arg "newline-insert newline"
\end_inset
-
-\series default
inside a formula.
This creates either an
\series bold
\end_inset
.
+ The align environment is recommended because it provides in any case a
+ typographically correct output.
\end_layout
\begin_layout Standard
.
To add or delete lines, the math toolbar buttons
-\begin_inset Graphics
- filename ../images/tabular-feature_append-row.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "inset-modify tabular append-row"
\end_inset
or
-\begin_inset Graphics
- filename ../images/tabular-feature_delete-row.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "inset-modify tabular delete-row"
\end_inset
, respectively, or the menu
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
There is sometimes not enough space in multiline formulas between the lines:
-\begin_inset Formula \begin{eqnarray*}
+\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*}
+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_inset CommandInset href
LatexCommand href
name "LyX-bug #1505"
-target "http://bugzilla.lyx.org/show_bug.cgi?id=1505"
+target "http://www.lyx.org/trac/ticket/1505"
\end_inset
\begin_inset VSpace bigskip
\end_inset
-To set the the line separation for all lines in a formula, the length
+To set the line separation for all lines in a formula, the length
\series bold
\backslash
jot
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Formula \begin{eqnarray*}
+\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*}
+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
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
arraycolsep
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
A & = & B\\
-C & \ne & A\end{eqnarray*}
+C & \ne & A
+\end{eqnarray*}
\end_inset
\end_inset
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
A & = & B\\
-C & \ne & A\end{eqnarray*}
+C & \ne & A
+\end{eqnarray*}
\end_inset
\begin_layout Subsubsection
Long Formulas
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Itemize
-When one side of the equation is much shorther than the line width, this
+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}
+\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}
+ & & -\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
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.
+ 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
status collapsed
\begin_layout Plain Layout
-more about
+for more about
\series bold
\backslash
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
lefteqn
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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 Formula \begin{eqnarray}
+ 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}
+ & & =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
\begin_inset CommandInset href
LatexCommand href
name "LyX-bug #1429"
-target "http://bugzilla.lyx.org/show_bug.cgi?id=1429"
+target "http://www.lyx.org/trac/ticket/1429"
\end_inset
.
\end_layout
+\begin_layout Subsubsection
+Multiline Fractions
+\begin_inset CommandInset label
+LatexCommand label
+name "sub:Multiline-Fractions"
+
+\end_inset
+
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Fractions ! multiline
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+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
+splitfrac
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! S !
+\backslash
+splitfrac
+\end_layout
+
+\end_inset
+
+.
+ To activate it, 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
+.
+
+\series bold
+
+\backslash
+splitfrac
+\series default
+ has the scheme
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+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_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
Multiline Brackets
\begin_inset CommandInset label
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
For brackets spanning multiple lines the following problem occurs:
-\begin_inset Formula \begin{eqnarray*}
+\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*}
+ & & \left.\cdots+B-D\right]
+\end{eqnarray*}
\end_inset
right.
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
vphantom
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
prod
\series default
^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
infty
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
_R=1}
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
The result is this:
-\begin_inset Formula \begin{eqnarray*}
+\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*}
+ & & \left.\vphantom{\prod_{R=1}^{\infty}}\cdots+B-D\right]
+\end{eqnarray*}
\end_inset
\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.
+ They are especially useful to set several formulas side by side.
\end_layout
\begin_layout Standard
\begin_layout Standard
To add or delete columns, the math toolbar buttons
-\begin_inset Graphics
- filename ../images/tabular-feature_append-column.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "inset-modify tabular append-column"
\end_inset
or
-\begin_inset Graphics
- filename ../images/tabular-feature_delete-column.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "inset-modify tabular delete-column"
\end_inset
, respectively, or the menu
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Standard
-This Align environment is created by presssing
+This Align environment is created by pressing
\begin_inset Info
type "shortcut"
arg "newline-insert newline"
\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*}
+\begin_inset Formula
+\begin{align*}
A & =\sin(B) & C & =D\\
-C & \ne A & B & \ne D\end{align*}
+C & \ne A & B & \ne D
+\end{align*}
\end_inset
\begin_layout Subsubsection
Alignat Environment
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
cm space was inserted at the beginning of the second formula:
-\begin_inset Formula \begin{alignat*}{2}
+\begin_inset Formula
+\begin{alignat*}{2}
A & =\sin(B) & \hspace{1cm}C & =D\\
-C & \ne A & B & \ne D\end{alignat*}
+C & \ne A & B & \ne D
+\end{alignat*}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
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*}
+\begin_inset Formula
+\begin{flalign*}
A & =1 & B & =2 & C & =3\\
-X & =\textrm{-}1 & Y & =\textrm{-}2 & Z & =4\end{flalign*}
+X & =\textrm{-}1 & Y & =\textrm{-}2 & Z & =4
+\end{flalign*}
\end_inset
\end_inset
:
-\begin_inset Formula \begin{flalign}
-\hspace{30pt}\iiint\limits _{V}X\,\mathrm{d}V & =U & {}\end{flalign}
+\begin_inset Formula
+\begin{flalign}
+\hspace{30pt}\iiint\limits _{V}X\,\mathrm{d}V & =U & {}
+\end{flalign}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
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*}
+\begin_inset Formula
+\begin{eqnarray*}
\frac{ABC}{D} & \frac{ABC}{D} & \frac{ABC}{D}\\
AB & AB & AB\\
-A & = & A\end{eqnarray*}
+A & = & A
+\end{eqnarray*}
\end_inset
\begin_layout Subsection
Gather Environment
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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
\backslash
shoveright
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
and
\series bold
\backslash
shoveleft
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
a centered line can be right or left aligned, respectively.
The commands are used as follows:
\end_layout
\backslash
multlinegap
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
specifies the distance of the first line from the left page margin.
Predefined is the length 0
\begin_inset space \thinspace{}
\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
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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
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
\backslash
aligned
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
is inserted.
A purple box appears around the blue formula box where now columns and
lines can be added.
\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
alignedat
\series default
,
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
gathered
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
split
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
intertext
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
is used in the following scheme:
\end_layout
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
\begin_layout Section
Formula Numbering
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
).
- The formula number is displayed in LyX behind the formula as number sign
+ The formula number is displayed in LyX behind the formula as a number sign
in parentheses.
The number sign is replaced in the output by the formula number.
\end_layout
Line
\family default
- (shortcut
+ (shortcut
\begin_inset Info
type "shortcut"
arg "math-number-line-toggle"
\begin_layout Subsection
Cross-References
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
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:
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
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
.
\begin_layout Subsection
Subnumbering
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
An example:
-\begin_inset Formula \begin{equation}
-A=C-B\label{eq:a}\end{equation}
+\begin_inset Formula
+\begin{equation}
+A=C-B\label{eq:a}
+\end{equation}
\end_inset
\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
addtocounter{equation}{-1}
\backslash
begin{subequations}
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Formula \begin{eqnarray}
+\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}
+ & = & B^{2}-2BZ+Z^{2}\label{eq:f}
+\end{eqnarray}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Standard
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
tag
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain 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
\backslash
tag
-\begin_inset ERT
-status collapsed
+\begin_inset space \textvisiblespace{}
+\end_inset
-\begin_layout Plain Layout
+something
+\series default
+ was inserted in the formula.
+\end_layout
+\begin_layout Standard
+When the command
+\series bold
\backslash
-spce
-\end_layout
-
+tag*
+\begin_inset space \textvisiblespace{}
\end_inset
something
\series default
- was inserted to the formula.
+ is inserted instead, the star prevents the parentheses around the expression:
+\begin_inset Formula
+\[
+A+B=C\tag*{something}
+\]
+
+\end_inset
+
+
\end_layout
\begin_layout Standard
-When the command
+\begin_inset VSpace bigskip
+\end_inset
+
+To restart the formula numbering with new document parts or sections, the
+ following command is used:
+\end_layout
+
+\begin_layout Standard
+
\series bold
\backslash
-tag*
+@addtoreset{equation}{part}
+\series default
+
+\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
-spce
+
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+"
\end_layout
\end_inset
-something
+@
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+"
+\end_layout
+
+\end_inset
+
+addtoreset
+\end_layout
+
+\end_inset
+
+
+\begin_inset Newline newline
+\end_inset
+
+resp.
+\begin_inset Newline newline
+\end_inset
+
+
+\series bold
+
+\backslash
+@addtoreset{equation}{section}
+\end_layout
+
+\begin_layout Standard
+To be able to use these commands in TeX-mode, the
+\begin_inset Quotes eld
+\end_inset
+
+@
+\begin_inset Quotes erd
+\end_inset
+
+ character has to be made
+\begin_inset Quotes eld
+\end_inset
+
+active
+\begin_inset Quotes erd
+\end_inset
+
+ for LaTeX using the command
+\series bold
+
+\backslash
+makeatletter.
+
\series default
- is inserted instead, the star prevents the parentheses around the expression:
-\begin_inset Formula \[
-A+B=C\tag*{something}\]
+ The command
+\series bold
+
+\backslash
+makeatother
+\series default
+ reverts this.
+ So the command sequence in TeX-mode is:
+\end_layout
+
+\begin_layout Standard
+\series bold
+
+\backslash
+makeatletter
+\begin_inset Newline newline
+\end_inset
+
+
+\backslash
+@addtoreset{equation}{section}
+\begin_inset Newline newline
\end_inset
+\backslash
+makeatother
\end_layout
\begin_layout Standard
-\begin_inset VSpace bigskip
+In the LaTeX-preamble
+\series bold
+
+\backslash
+makeatletter
+\series default
+ and
+\series bold
+
+\backslash
+makeatother
+\series default
+ can be omitted as they are automatically internally inserted by LyX.
+\end_layout
+
+\begin_layout Standard
+To revert
+\series bold
+
+\backslash
+@addtoreset
+\series default
+, the file
+\series bold
+remreset.sty
+\series default
+
+\begin_inset Foot
+status collapsed
+
+\begin_layout Plain Layout
+
+\series bold
+remreset
+\series default
+ is part of the LaTeX-package
+\series bold
+carlisle
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Packages ! carlisle
+\end_layout
+
\end_inset
-To restart the formula numbering with new document parts or sections, the
- following command is used:
+ that is part of every LaTeX standard installation.
+\end_layout
+
+\end_inset
+
+
+\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
\end_layout
\begin_layout Standard
\series bold
\backslash
-@addtoreset{equation}{part}
+usepackage{remreset}
+\end_layout
+
+\begin_layout Standard
+Then the command
+\series bold
+
+\backslash
+@removefromreset
\series default
-\begin_inset Index
-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
-
-
-\begin_inset Newline newline
-\end_inset
-
-resp.
-\begin_inset Newline newline
-\end_inset
-
-
-\series bold
-
-\backslash
-@addtoreset{equation}{section}
-\end_layout
-
-\begin_layout Standard
-To be able to use these commands in TeX-mode, the
-\begin_inset Quotes eld
-\end_inset
-
-@
-\begin_inset Quotes erd
-\end_inset
-
- character has to be made
-\begin_inset Quotes eld
-\end_inset
-
-active
-\begin_inset Quotes erd
-\end_inset
-
- for LaTeX using the command
-\series bold
-
-\backslash
-makeatletter.
-
-\series default
- The command
-\series bold
-
-\backslash
-makeatother
-\series default
- reverts this.
- So the command sequence in TeX-mode is:
-\end_layout
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-makeatletter
-\begin_inset Newline newline
-\end_inset
-
-
-\backslash
-@addtoreset{equation}{section}
-\begin_inset Newline newline
-\end_inset
-
-
-\backslash
-makeatother
-\end_layout
-
-\begin_layout Standard
-In the LaTeX-preamble
-\series bold
-
-\backslash
-makeatletter
-\series default
- and
-\series bold
-
-\backslash
-makeatother
-\series default
- can be omitted as they are automatically internally inserted by LyX.
-\end_layout
-
-\begin_layout Standard
-To revert
-\series bold
-
-\backslash
-@addtoreset
-\series default
-, the file
-\series bold
-remreset.sty
-\series default
-
-\begin_inset Foot
-status collapsed
-
-\begin_layout Plain Layout
-
-\series bold
-remreset
-\series default
- is part of the LaTeX-package
-\series bold
-carlisle
-\series default
-
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Packages ! carlisle
-\end_layout
-
-\end_inset
-
- that is part of every LaTeX standard installation.
-\end_layout
-
-\end_inset
-
-
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Packages ! remreset
-\end_layout
-
-\end_inset
-
- has to be loaded in the LaTeX-preamble with the line
-\end_layout
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-usepackage{remreset}
-\end_layout
-
-\begin_layout Standard
-Then the command
-\series bold
-
-\backslash
-@removefromreset
-\series default
-
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
numberwithin
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Standard
-Thus in our case the following LaTeX-preamble or TeX-Code line is used:
+Thus in our case the following LaTeX-preamble or TeX code line is used:
\end_layout
\begin_layout Standard
\end_inset
-\begin_inset Formula \begin{equation}
-A+B=C\end{equation}
+\begin_inset Formula
+\begin{equation}
+A+B=C
+\end{equation}
\end_inset
\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 TeX-Code or to the LaTeX-preamble:
+ as TeX code or to the LaTeX-preamble:
\end_layout
\begin_layout Standard
theequation}{
\backslash
arabic{equation}}
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Subsection
Numbering with Roman Numbers and Letters
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
renewcommand
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
roman{equation}
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
Roman
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
alph
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
Alph
\series default
-\begin_inset Index
-status open
+\begin_inset Index idx
+status collapsed
\begin_layout Plain Layout
Commands ! A !
\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
+
+
\end_layout
+\begin_layout Standard
+\begin_inset Newpage newpage
\end_inset
\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
\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
\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
\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
theequation}{
\backslash
arabic{equation}}
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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
A description about this can be found in the file
\begin_inset CommandInset href
LatexCommand href
-target "Formula-numbering.lyx"
+name "Formula-numbering.lyx"
+target "run:Formula-numbering.lyx"
\end_inset
\end_layout
\begin_layout Section
-User-defined Commands
-\begin_inset Index
+Chemical Symbols and Equations
+\begin_inset CommandInset label
+LatexCommand label
+name "sub:Chemical-Symbols-and"
+
+\end_inset
+
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
-User-defined commands
+Chemical characters ! Symbols
\end_layout
\end_inset
-\end_layout
-
-\begin_layout Standard
-\begin_inset Note Greyedout
-status open
+\begin_inset Index idx
+status collapsed
\begin_layout Plain Layout
-
-\series bold
-Note:
-\series default
- The names of user-defined commands and macros may only consist of Latin
- letters.
+Chemical equations
\end_layout
\end_inset
-\end_layout
+\begin_inset Index idx
+status collapsed
-\begin_layout Subsection
-The Command
-\backslash
-newcommand
-\begin_inset CommandInset label
-LatexCommand label
-name "sub:The-Command-newcommand"
+\begin_layout Plain Layout
+Symbols ! chemical
+\end_layout
\end_inset
-\begin_inset Index
-status collapsed
+\end_layout
-\begin_layout Plain Layout
-User-defined commands !
-\backslash
-newcommand
+\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
-\begin_inset Index
-status collapsed
+-ions to sodium sulfate
+\begin_inset Formula $\left(\mathrm{Na_{2}SO_{4}}\right)$
+\end_inset
-\begin_layout Plain Layout
-Commands ! N !
-\backslash
-newcommand
-\end_layout
+.
+ 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
\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
- new shorter commands.
+see
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sub:Font-Styles"
+
+\end_inset
+
+
\end_layout
-\begin_layout Standard
-The command scheme of
-\series bold
+\end_inset
+
-\backslash
-newcommand
-\series default
- is:
\end_layout
\begin_layout Standard
-
+A more convenient way to typeset chemical formulas is to use the command
+
\series bold
\backslash
-newcommand{new command name}[number of arguments][optional
+ce
\series default
-
-\series bold
-value]
-\begin_inset Newline newline
-\end_inset
-
-\begin_inset ERT
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
-
-
+Commands ! C !
\backslash
-phantom{
+ce
\end_layout
\end_inset
+ that is available when the LaTeX-package
+\series bold
+mhchem
+\series default
-\backslash
-newcommand
-\begin_inset ERT
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
-
-}
+Packages ! mhchem
\end_layout
\end_inset
-{command definition}
+ is installed.
+ After inserting
+\series bold
+
+\backslash
+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
-\begin_inset Note Greyedout
-status open
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="9" columns="2">
+<features rotate="0" tabularvalignment="middle">
+<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 Plain Layout
+Command
+\end_layout
-\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
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
-\backslash
-le
-\series default
- for
-\series bold
+\begin_layout Plain Layout
+Result
+\begin_inset Note Note
+status collapsed
+
+\begin_layout Plain Layout
-\backslash
-Leftarrow
-\series default
-, you get an error message because
\series bold
\backslash
-le
+raisebox
\series default
- is already defined as command for
-\begin_inset Quotes eld
-\end_inset
-
+ is only used as spacer.
+\end_layout
-\begin_inset Formula $\le$
\end_inset
-\begin_inset Quotes erd
-\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
+ce
+\begin_inset space \textvisiblespace{}
+\end_inset
+H2CO3
\end_layout
-\begin_layout Standard
-The number of arguments is an integer in the range 0
-\begin_inset space \thinspace{}
\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
--
-\begin_inset space \thinspace{}
+\begin_layout Plain Layout
+\begin_inset Formula $\raisebox{4.5mm}{}\ce{H2CO3}\raisebox{-2mm}{}$
\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
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
-\backslash
-gr
-\series default
- for
-\series bold
+\begin_layout Plain Layout
\backslash
-Longrightarrow
-\series default
-, the LaTeX-preamble line is:
-\begin_inset VSpace medskip
+ce
+\begin_inset space \textvisiblespace{}
\end_inset
+SO4^2-
+\end_layout
-\begin_inset Newline newline
\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 $\raisebox{5mm}{}\ce{SO4^{2-}}\raisebox{-2mm}{}$
+\end_inset
-\series bold
-\backslash
-newcommand{
-\backslash
-gr}{
-\backslash
-Longrightarrow}
\end_layout
-\begin_layout Itemize
-To define the command
-\series bold
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
-\backslash
-us
-\series default
- for
-\series bold
+\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 VSpace medskip
+ce
+\begin_inset space \textvisiblespace{}
\end_inset
+(NH4)2S
+\end_layout
-\begin_inset Newline newline
\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 $\raisebox{4.5mm}{}\ce{(NH4)2S}\raisebox{-2mm}{}$
+\end_inset
-\series bold
-\backslash
-newcommand{
-\backslash
-us}[1]{
-\backslash
-underline{#1}}
-\series default
+\end_layout
-\begin_inset VSpace medskip
\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+\begin_layout Plain Layout
-\begin_inset Newline newline
+\backslash
+ce
+\begin_inset space \textvisiblespace{}
\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 "sub: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 needn't to 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>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-Command
+KCr(SO4)2.12H2O
\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" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-Result
-\begin_inset Note Note
-status collapsed
-
-\begin_layout Plain Layout
-
-\series bold
-
-\backslash
-raisebox
-\series default
- is only used as spacer.
-\end_layout
-
+\begin_inset Formula $\raisebox{4.5mm}{}\ce{KCr(SO4)2.12H2O}\raisebox{-2mm}{}$
\end_inset
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
-A
-\backslash
-gr
-\begin_inset ERT
-status collapsed
-
\begin_layout Plain Layout
-
\backslash
-spce
-\end_layout
-
-\end_inset
-
-B
-\end_layout
-
+ce
+\begin_inset space \textvisiblespace{}
\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 $A\gr B$
+A-B
+\backslash
+dbond
+\begin_inset space \textvisiblespace{}
\end_inset
-
-\end_layout
-
+C
+\backslash
+tbond
+\begin_inset space \textvisiblespace{}
\end_inset
-</cell>
-</row>
-<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\backslash
-us{ABcd
+D
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox{4.5mm}{}\us{ABcd}\raisebox{-2mm}{}$
+\begin_inset Formula $\raisebox{4.5mm}{}\ce{A-B\dbond C\tbond D}\raisebox{-2mm}{}$
\end_inset
</cell>
</row>
<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 Plain Layout
\backslash
-fb{[2cm]
-\begin_inset Formula $\to$
+ce
+\begin_inset space \textvisiblespace{}
\end_inset
-
-\backslash
-{
-\begin_inset Formula $\to$
+^227
+\begin_inset Formula $\downarrow$
\end_inset
-
-\backslash
-{
-\backslash
-int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+_90
+\begin_inset Formula $\to$
\end_inset
-A=B
+Th+
\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 Plain Layout
-\begin_inset Formula $\raisebox{6mm}{}\fb{[2cm]}{}{\int A=B}\raisebox{-4mm}{}$
+\begin_inset Formula $\raisebox{5mm}{}\ce{_{90}^{227}Th+}\raisebox{-2mm}{}$
\end_inset
\begin_layout Plain Layout
\backslash
-cb{red
-\begin_inset Formula $\to$
+ce
+\begin_inset space \textvisiblespace{}
\end_inset
+CO2
+\begin_inset space \textvisiblespace{}
+\end_inset
-\backslash
-{
-\backslash
-int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
++
+\begin_inset space \textvisiblespace{}
+\end_inset
-\backslash
-spce
-\end_layout
+C
+\begin_inset space \textvisiblespace{}
+\end_inset
+<=>
+\begin_inset space \textvisiblespace{}
\end_inset
-A=B
+2CO
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox{6mm}{}\cb{red}{\int A=B}\raisebox{-4mm}{}$
+\begin_inset Formula $\raisebox{4.5mm}{}\ce{CO2 + C <=> 2CO}\raisebox{-2mm}{}$
\end_inset
\begin_layout Plain Layout
\backslash
-cb[green]
-\backslash
-{red
-\begin_inset Formula $\to$
+ce
+\begin_inset space \textvisiblespace{}
\end_inset
+CO2
+\begin_inset space \textvisiblespace{}
+\end_inset
-\backslash
-{
-\backslash
-int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
++
+\begin_inset space \textvisiblespace{}
+\end_inset
+C
+\begin_inset space \textvisiblespace{}
+\end_inset
+->[
\backslash
-spce
-\end_layout
-
+alpha][
+\backslash
+beta]
+\begin_inset space \textvisiblespace{}
\end_inset
-A=B
+2CO}
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox{6mm}{}\cb[green]{red}{\int A=B}\raisebox{-4mm}{}$
+\begin_inset Formula $\raisebox{5mm}{}\ce{CO2 + C ->[\alpha][\beta] 2CO}\raisebox{-4mm}{}$
\end_inset
\end_layout
-\begin_layout Subsection
-Math Macros
-\begin_inset Index
-status collapsed
+\begin_layout Standard
+\begin_inset Note Greyedout
+status open
\begin_layout Plain Layout
-User-defined commands! Math macros
-\end_layout
-\end_inset
+\series bold
+\color none
+Note:
+\series default
+ Inserting a formula to a
+\series bold
+\backslash
+ce
+\series default
+ box will lead to LaTeX errors due to a LyX bug.
+\color inherit
-\begin_inset Index
+\begin_inset Foot
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 in a document with 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 \[
-\lambda_{1,2}=-\frac{p}{2}\pm\sqrt{\frac{p²}{4}-q}\]
+\begin_inset CommandInset href
+LatexCommand href
+name "LyX-bug #8566"
+target "http://www.lyx.org/trac/ticket/8566"
\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 LaTeX-preamble line is
-\begin_inset Newline newline
\end_inset
+\color none
+ In this case TeX code has to be used like for
\series bold
\backslash
-newcommand{
-\backslash
-qG}[4][1,
-\backslash
-,2]{#2_{#1}=-
+ce{$
\backslash
-frac{#3}{2}
+mu
\backslash
-pm
-\begin_inset Newline newline
-\end_inset
-
-
+hyphen$Cl}
+\series default
+:
\begin_inset ERT
status collapsed
\backslash
-hphantom{
+ce{$
+\backslash
+mu
+\backslash
+hyphen$Cl}
\end_layout
\end_inset
-
-\backslash
-newcommand
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
+
\end_layout
\end_inset
-\backslash
-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
+\begin_inset Note Greyedout
+status open
+\begin_layout Plain Layout
\series bold
+\color none
+Note:
+\series default
+ It is not possible in 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
\backslash
-qG{
-\backslash
-lambda
-\begin_inset Formula $\to$
+uparrow
+\series default
+:
+\begin_inset Formula $\ce{Fe + 2H+ -> Fe^{2+} + H2\negthinspace\uparrow}$
\end_inset
-\backslash
-{p
-\begin_inset Formula $\to$
+\end_layout
+
\end_inset
-\backslash
-{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 LaTeX commands, e.
-\begin_inset space \thinspace{}
-\end_inset
-
-g.
-\begin_inset space \space{}
-\end_inset
-
-that a fraction is inserted in LaTeX as
+Using
\series bold
\backslash
-frac{numerator}{denominator}
+ce
\series default
-.
- Furthermore one can easily forget a brace in the definition and cannot
- see in LyX what the new command is doing.
- To avoid these problems LyX offers the possibility to use math macros instead
- of the command
-\series bold
+ the command for equation
+\begin_inset space ~
+\end_inset
-\backslash
-newcommand
-\series default
-.
-\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 Graphics
- filename ../images/math-macro_newmacroname_newcommand.png
- scale 85
+\begin_inset CommandInset ref
+LatexCommand eqref
+reference "eq:chem-reaction"
\end_inset
-.
- The math macro toolbar appears together with the following box where the
- macro is defined:
+ is:
\begin_inset Newline newline
\end_inset
-\begin_inset space \hspace*{\fill}
+\series bold
+
+\backslash
+ce
+\begin_inset space \textvisiblespace{}
\end_inset
-
-\begin_inset Graphics
- filename clipart/macrobox.png
-
+2Na+
+\begin_inset space \textvisiblespace{}
\end_inset
-
-\begin_inset space \hspace*{\fill}
++
+\begin_inset space \textvisiblespace{}
\end_inset
-
-\begin_inset Newline newline
+SO4^2-
+\begin_inset space \textvisiblespace{}
\end_inset
-\begin_inset FormulaMacro
-\newcommand{\qG}[4][1,\,2]{#2_{#1}=-\frac{#3}{2}\pm\sqrt{\frac{#3^{2}}{4}-#4}}
+\begin_inset space \textvisiblespace{}
\end_inset
+->
+\begin_inset space \textvisiblespace{}
+\end_inset
-\backslash
-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
+Na2SO4
+\end_layout
-\backslash
-#argumentnumber
-\series default
-, e.
-\begin_inset space \thinspace{}
-\end_inset
+\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"
-g
-\begin_inset space \space{}
\end_inset
-
+.
+ Afterwards the command
\series bold
\backslash
-#1
+ce
\series default
- or by using the macro toolbar button
-\begin_inset Graphics
- filename ../images/math-macro-add-param.png
- scale 85
+ is used in every small blue box of the formula.
+
+\begin_inset CommandInset ref
+LatexCommand eqref
+reference "eq:TEOS-reaction-1"
\end_inset
-.
- Argument placeholders are displayed red.
- Maximum 9 arguments are possible.
- Optional arguments are created with the toolbar button
-\begin_inset Graphics
- filename ../images/math-macro-add-optional-param.png
- scale 85
+ and
+\begin_inset CommandInset ref
+LatexCommand eqref
+reference "eq:TEOS-reaction-2"
\end_inset
-.
- The first non-optional argument can be transformed to an optional one with
- the toolbar button
-\begin_inset Graphics
- filename ../images/math-macro-make-optional.png
- scale 85
+ 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
-.
- In the second blue box the appearance of the macro in 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
+\end_layout
+\begin_layout Standard
+Besides
\series bold
-qG:
+
\backslash
-#1
+ce
\series default
-
+ the
\series bold
-,
+mhchem
\series default
-
+ package provides the command
\series bold
\backslash
-#2
-\series default
-
-\series bold
-,
+cf
\series default
-
-\series bold
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! C !
\backslash
-#3,
-\backslash
-#4
-\begin_inset Newline newline
+cf
+\end_layout
+
\end_inset
+ that has to be used for special cases.
+ For more information about
+\series bold
+\backslash
+cf
\series default
-For the macro only the arguments with the macro name in front of them will
- then be displayed in 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
+ and more examples have a look at the documentation of
+\series bold
+mhchem
+\series default
+,
+\begin_inset CommandInset citation
+LatexCommand cite
+key "mhchem"
-Math
-\begin_inset space ~
\end_inset
-Macro
-\family default
.
\end_layout
+\begin_layout Section
+Diagrams
+\end_layout
+
\begin_layout Standard
-To use a macro, the macro name is inserted as command to a formula, in our
- case
+LyX supports two types of commutative diagrams:
\series bold
-
-\backslash
-qG
+amscd
\series default
-.
- Our macro looks in LyX like this:
-\begin_inset Newline newline
-\end_inset
-
-
-\begin_inset space \hspace*{\fill}
-\end_inset
-
-
-\begin_inset Graphics
- filename clipart/macrouse.png
-
-\end_inset
-
-
-\begin_inset space \hspace*{\fill}
-\end_inset
-
+ and
+\series bold
+xymatrix
+\series default
+ that are explained in the following.
+\end_layout
-\begin_inset Newline newline
-\end_inset
+\begin_layout Subsection
+Amscd Diagrams
+\begin_inset Index idx
+status collapsed
-Here is our macro example with the arguments
-\begin_inset Formula $x$
-\end_inset
+\begin_layout Plain Layout
+Diagrams ! amscd
+\end_layout
-,
-\begin_inset Formula $\ln(x)$
\end_inset
-, and
-\begin_inset Formula $B$
-\end_inset
-:
\end_layout
\begin_layout Standard
-\begin_inset Formula \[
-\qG x{\ln(x)}B\]
+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
-A math macro is transformed internally to a
+To get them, the command
\series bold
\backslash
-newcommand
-\series default
- command when exporting the document.
- The created
-\series bold
+CD
+\begin_inset Index idx
+status collapsed
+\begin_layout Plain Layout
+Commands ! C !
\backslash
-newcommand
-\series default
- command is not placed in the LaTeX-preamble, therefore macros can only
- be used in formulas that are in the document below the macro definition
- box.
+CD
\end_layout
-\begin_layout Standard
-Math macros can also be directly be created from a
-\series bold
+\end_inset
-\backslash
-newcommand
-\series default
- command.
- When writing for example the command
-\series bold
-\begin_inset Newline newline
+\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
-\backslash
-newcommand{
-\backslash
-larrow}[2]{
-\backslash
-xleftarrow[#2]{#1}}
-\begin_inset Newline newline
-\end_inset
+\begin_layout Standard
+To create the relations there are the following commands:
+\end_layout
+\begin_layout Itemize
+\series bold
+@<<<
\series default
-in 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
+ creates a left arrow,
\series bold
-
-\backslash
-newcommand
+@>>>
\series default
- command is typed correctly, otherwise you get a faulty macro leading to
- LaTeX errors.
+ a right arrow and
+\series bold
+@=
+\series default
+ a long equal sign
\end_layout
-\begin_layout Standard
-Math macros currently yet have the problem that further formulas in macro
- definitions are handled wrongly.
- Therefore the example
-\series bold
+\begin_layout Itemize
-\backslash
-fb
+\series bold
+@AAA
\series default
- from
-\begin_inset CommandInset ref
-LatexCommand ref
-reference "sub:The-Command-newcommand"
+ creates an up arrow,
+\series bold
+@VVV
+\series default
+ a down arrow and
+\series bold
+@|
+\series default
+ a vertical equal sign
+\end_layout
-\end_inset
+\begin_layout Itemize
- cannot be created as macro.
-\end_layout
+\series bold
+@.
-\begin_layout Standard
-When the cursor is in a macro definition box, you will see the macro toolbar
- in LyX:
+\series default
+ is a placeholder for non-existent relations
\end_layout
\begin_layout Standard
-\begin_inset VSpace defskip
-\end_inset
+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 TeX-brace.
\end_layout
\begin_layout Standard
-\begin_inset Graphics
- filename clipart/MacroToolbar.png
-
-\end_inset
-
-
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Macros ! Toolbar
+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
-\begin_inset VSpace defskip
+The command for this is:
+\begin_inset Newline newline
\end_inset
-\end_layout
-
-\begin_layout Standard
-The macro toolbar contains from left to right the following buttons:
-\end_layout
+\series bold
-\begin_layout Standard
-\begin_inset VSpace defskip
+\backslash
+CD
+\begin_inset space \textvisiblespace{}
\end_inset
+A@>j>>B@>>k>C@=F Ctrl+Return
+\begin_inset Newline newline
+\end_inset
-\end_layout
-\begin_layout Standard
-\begin_inset Tabular
-<lyxtabular version="3" rows="9" columns="2">
-<features islongtable="true">
-<column alignment="left" valignment="top" width="0">
-<column alignment="left" valignment="top" width="85col%">
-<row interlinespace="2.5mm">
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-\begin_inset Graphics
- filename ../images/math-macro-remove-param.png
- BoundingBox 0bp 5bp 20bp 25bp
- rotateOrigin center
+\series bold
+
+\backslash
+CD
+\begin_inset space \textvisiblespace{}
\end_inset
\end_layout
\end_inset
-</cell>
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-\begin_layout Plain Layout
+@AmAA@.@VV
+\backslash
+{V
+\series default
-\family sans
-Edit\SpecialChar \menuseparator
-Math\SpecialChar \menuseparator
-Macro
-\begin_inset space ~
+\begin_inset Formula $\to$
\end_inset
-Definition\SpecialChar \menuseparator
-Remove Last Argument
-\end_layout
+\series bold
+V@| Ctrl+Return
+\begin_inset Newline newline
\end_inset
-</cell>
-</row>
-<row interlinespace="2.5mm">
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-\begin_layout Plain Layout
-\begin_inset Graphics
- filename ../images/math-macro-add-param.png
- BoundingBox 0bp 5bp 20bp 25bp
- rotateOrigin center
-\end_inset
+\begin_inset Phantom HPhantom
+status open
+\begin_layout Plain Layout
-\end_layout
+\series bold
+\backslash
+CD
+\begin_inset space \textvisiblespace{}
\end_inset
-</cell>
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-\begin_layout Plain Layout
-\family sans
-Edit\SpecialChar \menuseparator
-Math\SpecialChar \menuseparator
-Macro
-\begin_inset space ~
+\end_layout
+
\end_inset
-Definition\SpecialChar \menuseparator
-Append Argument
+D@<<j<E@>k>>F@=C
\end_layout
-\end_inset
-</cell>
-</row>
-<row interlinespace="2.5mm">
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
+\begin_layout Subsection
+Xymatrix Diagrams
+\begin_inset Index idx
+status collapsed
\begin_layout Plain Layout
-\begin_inset Graphics
- filename ../images/math-macro-make-optional.png
- BoundingBox 0bp 5bp 20bp 25bp
- rotateOrigin center
+Diagrams ! xymatrix
+\end_layout
\end_inset
\end_layout
+\begin_layout Standard
+To be able to use xymatrices, the 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
-</cell>
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-\begin_layout Plain Layout
+.
+\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
-Edit\SpecialChar \menuseparator
-Math\SpecialChar \menuseparator
-Macro
+Help\SpecialChar \menuseparator
+Specific
\begin_inset space ~
\end_inset
-Definition\SpecialChar \menuseparator
-Make First Non-Optional into
-\begin_inset Newline newline
-\end_inset
+Manuals
+\family default
+.
+\end_layout
+\begin_layout Subsection
-\begin_inset ERT
+\noun on
+Feynman
+\noun default
+ Diagrams
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
+Diagrams ! Feynman
+\end_layout
+
+\end_inset
-\backslash
-hphantom{
\end_layout
+\begin_layout Standard
+To be able to use
+\noun on
+Feynman
+\noun default
+-diagrams, the 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
-Edit\SpecialChar \menuseparator
-Math\SpecialChar \menuseparator
-Macro
+.
+\end_layout
+
+\begin_layout Standard
+Examples how to create
+\noun on
+Feynman-
+\noun default
+diagrams in 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
-Definition\SpecialChar \menuseparator
+Manuals
+\family default
+.
+\end_layout
-\begin_inset ERT
+\begin_layout Section
+User-defined Commands
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
-
-}
+User-defined commands
\end_layout
\end_inset
-Optional Argument
+
\end_layout
-\end_inset
-</cell>
-</row>
-<row interlinespace="2.5mm">
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
+\begin_layout Standard
+\begin_inset Note Greyedout
+status open
\begin_layout Plain Layout
-\begin_inset Graphics
- filename ../images/math-macro-make-nonoptional.png
- BoundingBox 0bp 5bp 20bp 25bp
- rotateOrigin center
-
-\end_inset
-
+\series bold
+Note:
+\series default
+ The names of user-defined commands and macros may only consist of Latin
+ letters.
\end_layout
\end_inset
-</cell>
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-\begin_layout Plain Layout
-\family sans
-Edit\SpecialChar \menuseparator
-Math\SpecialChar \menuseparator
-Macro
-\begin_inset space ~
-\end_inset
+\end_layout
+
+\begin_layout Subsection
+The Command
+\backslash
+newcommand
+\begin_inset CommandInset label
+LatexCommand label
+name "sub:The-Command-newcommand"
-Definition\SpecialChar \menuseparator
-Make Last Optional into
-\begin_inset Newline newline
\end_inset
-\begin_inset ERT
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
-
-
+User-defined commands !
\backslash
-hphantom{
+newcommand
\end_layout
\end_inset
-Edit\SpecialChar \menuseparator
-Math\SpecialChar \menuseparator
-Macro
-\begin_inset space ~
-\end_inset
-
-Definition\SpecialChar \menuseparator
-\begin_inset ERT
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
-
-}
+Commands ! N !
+\backslash
+newcommand
\end_layout
\end_inset
-Non-Optional Argument
-\end_layout
-\end_inset
-</cell>
-</row>
-<row interlinespace="2.5mm">
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
+\end_layout
-\begin_layout Plain Layout
-\begin_inset Graphics
- filename ../images/math-macro-remove-optional-param.png
- BoundingBox 0bp 5bp 20bp 25bp
- rotateOrigin center
+\begin_layout Standard
+Many LaTeX-commands are too long to be used frequently.
+ But it is possible to define with the command
+\series bold
-\end_inset
+\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
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
+\begin_layout Standard
-\begin_layout Plain Layout
+\series bold
-\family sans
-Edit\SpecialChar \menuseparator
-Math\SpecialChar \menuseparator
-Macro
-\begin_inset space ~
+\backslash
+newcommand{new command name}[number of arguments][optional
+\series default
+
+\series bold
+value]
+\begin_inset Newline newline
\end_inset
-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
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-\begin_inset Graphics
- filename ../images/math-macro-add-optional-param.png
- BoundingBox 0bp 5bp 20bp 25bp
- rotateOrigin center
-
-\end_inset
+\series bold
+\backslash
+newcommand
\end_layout
\end_inset
-</cell>
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\family sans
-Edit\SpecialChar \menuseparator
-Math\SpecialChar \menuseparator
-Macro
-\begin_inset space ~
+{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 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
-Definition\SpecialChar \menuseparator
-Insert Optional Argument
+
+\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 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 "sub: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 rotate="0" tabularvalignment="middle">
+<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 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
+\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
+
+
\end_layout
\end_inset
</cell>
</row>
-<row interlinespace="2.5mm">
-<cell alignment="center" valignment="top" usebox="none">
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Graphics
- filename ../images/math-macro-remove-greedy-param.png
- BoundingBox 0bp 5bp 20bp 25bp
- rotateOrigin center
+A
+\backslash
+gr
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+B
+\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 $A\gr B$
\end_inset
\end_inset
</cell>
-<cell alignment="center" valignment="top" usebox="none">
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\family sans
-Edit\SpecialChar \menuseparator
-Math\SpecialChar \menuseparator
-Macro
-\begin_inset space ~
+\backslash
+us{ABcd
+\end_layout
+
\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
-Definition\SpecialChar \menuseparator
-Remove Last Argument
+\begin_layout Plain Layout
+\begin_inset Formula $\raisebox{4.5mm}{}\us{ABcd}\raisebox{-2mm}{}$
+\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
+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" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\raisebox{6mm}{}\fb{[2cm]}{}{\int A=B}\raisebox{-4mm}{}$
+\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
+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" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\raisebox{6mm}{}\cb{red}{\int A=B}\raisebox{-4mm}{}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="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" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\raisebox{6mm}{}\cb[green]{red}{\int A=B}\raisebox{-4mm}{}$
+\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 LaTeX-preamble line is
+\begin_inset Newline newline
+\end_inset
+
+
+\series bold
+
+\backslash
+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
+newcommand
+\end_layout
+
+\end_inset
+
+
+\backslash
+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
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
+\series bold
+
+\backslash
+qG{
+\backslash
+lambda
+\begin_inset Formula $\to$
+\end_inset
+
+
+\backslash
+{p
+\begin_inset Formula $\to$
+\end_inset
+
+
+\backslash
+{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 LaTeX commands, e.
+\begin_inset space \thinspace{}
+\end_inset
+
+g.
+\begin_inset space \space{}
+\end_inset
+
+that a fraction is inserted in LaTeX as
+\series bold
+\backslash
+frac{numerator}{denominator}
+\series default
+.
+ Furthermore one can easily forget a brace in the definition and cannot
+ see in LyX what the new command is doing.
+ To avoid these problems LyX offers the possibility to use math macros instead
+ of the command
+\series bold
\backslash
-hphantom{
+newcommand
+\series default
+.
\end_layout
-\end_inset
-
-Edit\SpecialChar \menuseparator
+\begin_layout Standard
+A math macro is created by using the menu
+\family sans
+Insert\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Macro
-\begin_inset space ~
+\family default
+ or the toolbar button
+\begin_inset Info
+type "icon"
+arg "math-macro newmacroname_newcommand"
\end_inset
-Definition\SpecialChar \menuseparator
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
-\end_layout
-
+.
+ The math macro toolbar appears together with the following box where the
+ macro is defined:
+\begin_inset Newline newline
\end_inset
-Spitting Out To The Right
-\end_layout
+\begin_inset space \hspace*{\fill}
\end_inset
-</cell>
-</row>
-<row interlinespace="2.5mm">
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-\begin_layout Plain Layout
+
\begin_inset Graphics
- filename ../images/math-macro-append-greedy-param.png
- BoundingBox 0bp 5bp 20bp 25bp
- rotateOrigin center
+ filename clipart/macrobox.png
\end_inset
-\end_layout
-
+\begin_inset space \hspace*{\fill}
\end_inset
-</cell>
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\family sans
-Edit\SpecialChar \menuseparator
-Math\SpecialChar \menuseparator
-Macro
-\begin_inset space ~
-\end_inset
-Definition\SpecialChar \menuseparator
-Append Argument
\begin_inset Newline newline
\end_inset
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
+\begin_inset FormulaMacro
+\newcommand{\qG}[4][1,\,2]{#2_{#1}=-\frac{#3}{2}\pm\sqrt{\frac{#3^{2}}{4}-#4}}
+\end_inset
\backslash
-hphantom{
-\end_layout
+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
+#argumentnumber
+\series default
+, e.
+\begin_inset space \thinspace{}
\end_inset
-Edit\SpecialChar \menuseparator
-Math\SpecialChar \menuseparator
-Macro
-\begin_inset space ~
+g
+\begin_inset space \space{}
\end_inset
-Definition\SpecialChar \menuseparator
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-}
-\end_layout
+\series bold
+\backslash
+#1
+\series default
+ or by using the macro toolbar button
+\begin_inset Info
+type "icon"
+arg "math-macro-add-param"
\end_inset
-Eating From The Right
-\end_layout
+.
+ 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
-</cell>
-</row>
-<row interlinespace="2.5mm">
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-\begin_layout Plain Layout
-\begin_inset Graphics
- filename ../images/math-macro-add-greedy-optional-param.png
- BoundingBox 0bp 5bp 20bp 25bp
- rotateOrigin center
+.
+ 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 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
-\end_layout
+\series bold
+qG:
+\backslash
+#1
+\series default
+
+\series bold
+,
+\series default
+
+\series bold
+
+\backslash
+#2
+\series default
+
+\series bold
+,
+\series default
+
+\series bold
+\backslash
+#3,
+\backslash
+#4
+\begin_inset Newline newline
\end_inset
-</cell>
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-\begin_layout Plain Layout
+\series default
+For the macro only the arguments with the macro name in front of them will
+ then be displayed in 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
-Edit\SpecialChar \menuseparator
-Math\SpecialChar \menuseparator
-Macro
+View\SpecialChar \menuseparator
+(Un)fold
\begin_inset space ~
\end_inset
-Definition\SpecialChar \menuseparator
-Append Optional Argument
-\begin_inset Newline newline
+Math
+\begin_inset space ~
\end_inset
+Macro
+\family default
+.
+\end_layout
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
+\begin_layout Standard
+To use a macro, the macro name is inserted as command to a formula, in our
+ case
+\series bold
\backslash
-hphantom{
-\end_layout
-
+qG
+\series default
+.
+ Our macro looks in LyX like this:
+\begin_inset Newline newline
\end_inset
-Edit\SpecialChar \menuseparator
-Math\SpecialChar \menuseparator
-Macro
-\begin_inset space ~
+
+\begin_inset space \hspace*{\fill}
\end_inset
-Definition\SpecialChar \menuseparator
-\begin_inset ERT
-status collapsed
+\begin_inset Graphics
+ filename clipart/macrouse.png
-\begin_layout Plain Layout
+\end_inset
-}
-\end_layout
+\begin_inset space \hspace*{\fill}
\end_inset
-Eating From The Right
-\end_layout
+\begin_inset Newline newline
+\end_inset
+
+Here is our macro example with the arguments
+\begin_inset Formula $x$
\end_inset
-</cell>
-</row>
-</lyxtabular>
+,
+\begin_inset Formula $\ln(x)$
\end_inset
+ and
+\begin_inset Formula $B$
+\end_inset
+:
\end_layout
\begin_layout Standard
-\begin_inset Newpage newpage
+\begin_inset Formula
+\[
+\qG x{\ln(x)}B
+\]
+
\end_inset
\end_layout
-\begin_layout Section
-Diagrams
+\begin_layout Standard
+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
-LyX supports two types of commutative diagrams:
+A math macro is transformed internally to a
\series bold
-amscd
+
+\backslash
+newcommand
\series default
- and
+ command when exporting the document.
+ The created
\series bold
-xymatrix
+
+\backslash
+newcommand
\series default
- that are explained in the following.
+ command is not placed in the LaTeX-preamble, therefore macros can only
+ be used in formulas that are in the document below the macro definition
+ box.
\end_layout
-\begin_layout Subsection
-Amscd Diagrams
-\begin_inset Index
-status collapsed
+\begin_layout Standard
+Math macros can also be directly created from a
+\series bold
-\begin_layout Plain Layout
-Diagrams ! amscd
-\end_layout
+\backslash
+newcommand
+\series default
+ command.
+ When writing for example the command
+\series bold
+\begin_inset Newline newline
\end_inset
-\end_layout
-
-\begin_layout Standard
-Diagrams of this type visualize relations by vertical and horizontal lines
- or arrows:
-\begin_inset Formula \[
-\begin{CD}A@>>>B@>>>C\\
-@AAA@.@VVV\\
-F@<<<E@<<<D\end{CD}\]
-
+\backslash
+newcommand{
+\backslash
+larrow}[2]{
+\backslash
+xleftarrow[#2]{#1}}
+\begin_inset Newline newline
\end_inset
+\series default
+in 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
+newcommand
+\series default
+ command is typed correctly, otherwise you get a faulty macro leading to
+ LaTeX errors.
\end_layout
\begin_layout Standard
-To get them, the command
+Math macros currently have the problem that further formulas in macro definition
+s are handled wrongly.
+ Therefore the example
\series bold
\backslash
-CD
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Commands ! C !
-\backslash
-CD
-\end_layout
+fb
+\series default
+ from
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sub:The-Command-newcommand"
\end_inset
+ cannot be created as macro.
+\end_layout
-\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"
+\begin_layout Standard
+When the cursor is in a macro definition box, you will see the macro toolbar
+ in LyX:
+\end_layout
+
+\begin_layout Standard
+\begin_inset VSpace defskip
\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_inset Graphics
+ filename clipart/MacroToolbar.png
-\begin_layout Itemize
+\end_inset
-\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
+\begin_inset Index idx
+status collapsed
-\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
+\begin_layout Plain Layout
+Macros ! Toolbar
\end_layout
-\begin_layout Itemize
+\end_inset
-\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_inset VSpace defskip
+\end_inset
+
-\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.
+\begin_layout Standard
+The macro toolbar contains from left to right the following buttons:
\end_layout
\begin_layout Standard
-As example a diagram with all possible relations:
+\begin_inset VSpace defskip
+\end_inset
+
+
\end_layout
\begin_layout Standard
-\begin_inset Formula \[
-\begin{CD}A@>j>>B@>>k>C@=F\\
-@AmAA@.@VV{V}V@|\\
-D@<<j<E@>k>>F@=C\end{CD}\]
+\begin_inset Tabular
+<lyxtabular version="3" rows="9" columns="2">
+<features rotate="0" 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
\end_layout
-\begin_layout Standard
-The command for this is:
-\begin_inset Newline newline
\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+\begin_layout Plain Layout
-\series bold
+\family sans
+Edit\SpecialChar \menuseparator
+Math\SpecialChar \menuseparator
+Macro
+\begin_inset space ~
+\end_inset
-\backslash
-CD
-\begin_inset ERT
-status collapsed
+Definition\SpecialChar \menuseparator
+Remove Last 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-add-param"
+\end_inset
-\backslash
-spce
\end_layout
\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
-A@>j>>B@>>k>C@=F Ctrl+Return
-\begin_inset Newline newline
+\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_inset ERT
-status collapsed
+\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
-\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
+\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
+
+
+\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
-\backslash
-spce
\end_layout
\end_inset
+Optional Argument
+\end_layout
-\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 Plain Layout
+\begin_inset Info
+type "icon"
+arg "math-macro-make-nonoptional"
+\end_inset
+
-}
\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
-\begin_inset Formula $\to$
+\family sans
+Edit\SpecialChar \menuseparator
+Math\SpecialChar \menuseparator
+Macro
+\begin_inset space ~
\end_inset
-
-\series bold
-V@| Ctrl+Return
+Definition\SpecialChar \menuseparator
+Transform Last Optional to
\begin_inset Newline newline
\end_inset
-\begin_inset ERT
-status collapsed
+\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
-\backslash
-hphantom{
\end_layout
\end_inset
+Non-Optional Argument
+\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 Plain Layout
+\begin_inset Info
+type "icon"
+arg "math-macro-remove-optional-param"
+\end_inset
-\backslash
-spce
\end_layout
\end_inset
-
-
-\begin_inset ERT
-status collapsed
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
\begin_layout Plain Layout
-}
-\end_layout
-
+\family sans
+Edit\SpecialChar \menuseparator
+Math\SpecialChar \menuseparator
+Macro
+\begin_inset space ~
\end_inset
-D@<<j<E@>k>>F@=C
+Definition\SpecialChar \menuseparator
+Remove Optional Argument
\end_layout
-\begin_layout Subsection
-Xymatrix Diagrams
-\begin_inset Index
-status collapsed
+\end_inset
+</cell>
+</row>
+<row interlinespace="2.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
\begin_layout Plain Layout
-Diagrams ! xymatrix
-\end_layout
-
+\begin_inset Info
+type "icon"
+arg "math-macro-add-optional-param"
\end_inset
\end_layout
-\begin_layout Standard
-To be able to use xymatrices, the 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
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
-.
-\end_layout
+\begin_layout Plain 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\SpecialChar \menuseparator
-XY-pic
+Edit\SpecialChar \menuseparator
+Math\SpecialChar \menuseparator
+Macro
\begin_inset space ~
\end_inset
-Manual
-\family default
-.
+Definition\SpecialChar \menuseparator
+Insert Optional Argument
\end_layout
-\begin_layout Standard
-\begin_inset Newpage newpage
+\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
\end_layout
-\begin_layout Section
-Tips
-\begin_inset ERT
-status collapsed
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
\begin_layout Plain Layout
+\family sans
+Edit\SpecialChar \menuseparator
+Math\SpecialChar \menuseparator
+Macro
+\begin_inset space ~
+\end_inset
-\backslash
-texorpdfstring{
-\end_layout
-
+Definition\SpecialChar \menuseparator
+Remove Last Argument
+\begin_inset Newline newline
\end_inset
-\begin_inset Foot
-status collapsed
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-Other useful math tips can be found in
-\begin_inset CommandInset citation
-LatexCommand cite
-key "Voss"
+\family sans
+Edit\SpecialChar \menuseparator
+Math\SpecialChar \menuseparator
+Macro
+\begin_inset space ~
\end_inset
-.
+Definition\SpecialChar \menuseparator
+
\end_layout
\end_inset
+Spitting Out To The Right
+\end_layout
-\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 Plain Layout
+\begin_inset Info
+type "icon"
+arg "math-macro-append-greedy-param"
+\end_inset
+
-}{}
\end_layout
\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+\begin_layout Plain Layout
-\begin_inset Note Note
-status collapsed
+\family sans
+Edit\SpecialChar \menuseparator
+Math\SpecialChar \menuseparator
+Macro
+\begin_inset space ~
+\end_inset
-\begin_layout Plain Layout
+Definition\SpecialChar \menuseparator
+Append Argument
+\begin_inset Newline newline
+\end_inset
-\backslash
-texorpdfstring is used to avoid that the footnote appears in the PDF-bookmark.
-\end_layout
+
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-More about
-\backslash
-texorpdfstring is in section
-\begin_inset CommandInset ref
-LatexCommand ref
-reference "sub:Formulas-in-Section"
+\family sans
+Edit\SpecialChar \menuseparator
+Math\SpecialChar \menuseparator
+Macro
+\begin_inset space ~
\end_inset
-.
+Definition\SpecialChar \menuseparator
+
\end_layout
\end_inset
+Eating From The Right
+\end_layout
-\begin_inset Index
-status collapsed
+\end_inset
+</cell>
+</row>
+<row interlinespace="2.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
\begin_layout Plain Layout
-Tips
-\end_layout
-
+\begin_inset Info
+type "icon"
+arg "math-macro-add-greedy-optional-param"
\end_inset
-\begin_inset Index
-status collapsed
+\end_layout
-\begin_layout Plain Layout
-Ions|see
-\begin_inset ERT
-status collapsed
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
\begin_layout Plain Layout
-{
-\end_layout
+\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
-Chemical characters
-\begin_inset ERT
-status collapsed
+
+\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
+
\end_layout
\end_inset
-
+Eating From The Right
\end_layout
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
\end_inset
\end_layout
+\begin_layout Section
+Computer Algebra Systems
+\end_layout
+
+\begin_layout Standard
+LyX offers the exchange between mathematical expressions written in 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
+
\begin_layout Subsection
-Chemical Symbols and Equations
-\begin_inset CommandInset label
-LatexCommand label
-name "sub:Chemical-Symbols-and"
+Usage
+\end_layout
+\begin_layout Standard
+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
-\begin_inset Index
-status collapsed
+ operator.
+\end_layout
-\begin_layout Plain Layout
-Chemical characters ! Symbols
+\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 Index
-status collapsed
-
-\begin_layout Plain Layout
-Chemical equations
\end_layout
+\begin_layout Itemize
+\begin_inset Formula $\frac{37.0}{3}=12.33333333333333$
\end_inset
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Symbols ! chemical
\end_layout
+\begin_layout Itemize
+\begin_inset Formula $\int_{1}^{2}\sin(x)dx=\cos1-\cos2$
\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_inset
+\end_layout
-.
- The chemical equation for this is:
-\begin_inset Formula \[
-\mathrm{2\, Na^{+}+SO_{4}^{2-}\longrightarrow Na_{2}SO_{4}}\]
+\begin_layout Subsection
+Keyboard shortcut
+\end_layout
+\begin_layout Standard
+Currently there is no keyboard shortcut for calling the algebra applications.
+ One can easily bind a shortcut to the
+\family sans
+math-extern
+\family default
+ LyX function (see the
+\family sans
+\emph on
+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
-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
-
- 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 "sub:Font-Styles"
-
-\end_inset
+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
\begin_layout Subsection
Negative Numbers
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
-<column alignment="right" valignment="top" width="0">
-<column alignment="left" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="right" valignment="top">
+<column alignment="left" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Subsection
Comma as decimal Separator
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
was
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
braket
\series default
-\begin_inset Foot
-status collapsed
-
-\begin_layout Plain Layout
-
-\series bold
-braket
-\series default
- should be part of every LaTeX standard installation.
-\end_layout
-
-\end_inset
-
-
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
+
+\end_layout
+
+\begin_layout Standard
The following commands are defined:
\end_layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<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
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
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
genfrac
\series default
-\begin_inset Index
+\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
\end_inset
-\begin_inset ERT
-status collapsed
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-
-\backslash
-phantom{
-\end_layout
-
-\end_inset
-
+\series bold
\backslash
genfrac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
\end_layout
\end_inset
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<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
A test:
-\begin_inset Formula \begin{align*}
+\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*}
+\text{Result} & & \fracS[1mm]{A}{B} & & \fracS[5mm]{A}{B}
+\end{align*}
\end_inset
\begin_layout Subsection
Canceled Formulas
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Standard
-To cancel formulas or formula parts, the LaTeX-package
-\series bold
-cancel
-\series default
+There are four ways to cancel formulas or parts of formulas:
+\end_layout
-\begin_inset Foot
+\begin_layout Standard
+\begin_inset ERT
status collapsed
\begin_layout Plain Layout
-\series bold
-cancel
-\series default
- is part of every LaTeX standard installation.
+
+\backslash
+ifcancel
\end_layout
\end_inset
-\begin_inset Index
-status collapsed
+\begin_inset Note Note
+status open
\begin_layout Plain Layout
-Packages ! cancel
+The following table will only be displayed when the LaTeX-package
+\series bold
+cancel
+\series default
+ is installed.
\end_layout
\end_inset
- has to be loaded with the LaTeX-preamble line
-\end_layout
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-usepackage[samesize]{cancel}
-\end_layout
-\begin_layout Standard
-There are four ways to cancel formulas:
\end_layout
\begin_layout Standard
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<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 Plain Layout
\backslash
-cancel{
-\backslash
-int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
+cancel
+\begin_inset space \textvisiblespace{}
+\end_inset
\backslash
-spce
-\end_layout
-
+int
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\begin_layout Plain Layout
\backslash
-bcancel{
-\backslash
-int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
+bcancel
+\begin_inset space \textvisiblespace{}
+\end_inset
\backslash
-spce
-\end_layout
-
+int
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\begin_layout Plain Layout
\backslash
-xcancel{
-\backslash
-int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
+xcancel
+\begin_inset space \textvisiblespace{}
+\end_inset
\backslash
-spce
-\end_layout
-
+int
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\begin_layout Plain Layout
\backslash
-cancelto{1
-\begin_inset Formula $\to$
+cancelto
+\begin_inset space \textvisiblespace{}
\end_inset
-\backslash
-{
\backslash
int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
+\begin_inset Formula $\to$
+\end_inset
+
+1
\end_layout
\end_inset
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 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
+
+\begin_layout Standard
+To change the size of
+\series bold
+
+\backslash
+cancelto
+\series default
+'s
+\begin_inset Quotes eld
+\end_inset
+
+subscript
+\begin_inset Quotes erd
+\end_inset
+
+ value one can add the LaTeX-preamble line
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+PassOptionsToPackage{option}{cancel}
+\end_layout
+
+\begin_layout Standard
+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
+To color the cancellation bar one adds this command as TeX code:
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+renewcommand{
+\backslash
+CancelColor}{
+\backslash
+color{red}}
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+red
+\series default
+ can be replaced by a color of your choice.
+\end_layout
+
+\begin_layout Standard
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+renewcommand{
+\backslash
+CancelColor}{
+\backslash
+color{red}}
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\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
+
+\begin_layout Standard
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+renewcommand{
+\backslash
+CancelColor}{
+\backslash
+color{black}}
+\end_layout
+
+\end_inset
+
+
+\begin_inset Note Note
+status open
+
+\begin_layout Plain Layout
+reset the color
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+For further customizations, see the documentation of the package
+\series bold
+cancel
+\series default
+,
+\begin_inset CommandInset citation
+LatexCommand cite
+key "cancel"
+
+\end_inset
+
+.
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Packages ! cancel
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+else
+\end_layout
+
+\end_inset
+
+
+\begin_inset Note Note
+status open
+
+\begin_layout Plain Layout
+The following will be displayed when the LaTeX-package
+\series bold
+cancel
+\series default
+ is not installed:
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+You need to install the 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
+
+
+\backslash
+fi
+\end_layout
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
hyperref
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
texorpdfstring{part}{alternative}
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset OptArg
+\begin_inset Argument 1
status collapsed
\begin_layout Plain Layout
\begin_layout Subsection
Formulas in multi-column Text
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
status open
\begin_layout Plain Layout
-Note herby that the setting
+Note that in this case the setting
\family sans
Two-column
\begin_inset space ~
\end_layout
\begin_layout Standard
+
+\lang german
\begin_inset ERT
status collapsed
\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
\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\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
\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
\begin_inset space \thinspace{}
\end_inset
--rf-Puls beginnt sich the Magnetisierung zu entfokussieren, wodurch sich
+-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
\end_layout
\begin_layout Standard
+
+\lang german
\begin_inset ERT
status collapsed
\end_inset
-
+
\end_layout
\begin_layout Subsection
Formulas with Description of Variables
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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 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
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
was
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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
\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
\begin_layout Subsection
Text Characters in Formulas
-\begin_inset CommandInset label
-LatexCommand label
-name "sub:Text-Characters-in"
-
-\end_inset
-
-
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain 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
\series bold
latin9.def
\series default
- that is in the installation folder of LaTeX.
+ which 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.
+ Otherwise documents could not be edited by other LyX users working on other
+ computers.
\end_layout
\begin_layout Standard
\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 LaTeX-preamble line so that it can be directly inserted
+ into a formula:
\end_layout
\begin_layout Standard
i}
\end_layout
+\begin_layout Subsection
+LaTeX-comments in formulas
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+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 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 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 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 LaTeX-commands in the LaTeX-output.
+\begin_inset Newline newline
+\end_inset
+
+This a formula with a 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
\begin_layout Section
\start_of_appendix
Typographic Advice
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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
\end_inset
-: 30
+, no matter if they appear in italic text: 30
\begin_inset space \thinspace{}
\end_inset
\begin_inset Newline newline
\end_inset
-1,2
+1.2
\begin_inset space \thinspace{}
\end_inset
\end_inset
is used.
- It is available via the menu
+ It is available either via the command
+\series bold
+
+\backslash
+times
+\series default
+ or via the menu
\family sans
Insert\SpecialChar \menuseparator
Special Character\SpecialChar \menuseparator
Symbols
\family default
.
- With some keyboard definitions it can also be inserted directly.
\end_layout
\begin_layout Itemize
\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
\begin_layout Section
Synonyms
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="12" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="12" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
of LaTeX's math abilities
\end_layout
-\begin_layout Bibliography
-\begin_inset CommandInset bibitem
-LatexCommand bibitem
-key "Voss"
-
-\end_inset
-
-LaTeX tips and tricks-
-\begin_inset CommandInset href
-LatexCommand href
-name "page"
-target "http://tug.org/TeXnik/"
-
-\end_inset
-
-
-\end_layout
-
\begin_layout Bibliography
\begin_inset CommandInset bibitem
LatexCommand bibitem
\begin_inset CommandInset href
LatexCommand href
name "Description"
-target "ftp://ftp.ams.org/pub/tex/doc/amsmath/amsldoc.pdf"
+target "http://mirrors.ctan.org/macros/latex/required/amslatex/math/amsldoc.pdf"
\end_inset
\begin_layout Bibliography
\begin_inset CommandInset bibitem
LatexCommand bibitem
-key "Symbole"
+key "Symbols"
\end_inset
of all symbols available with LaTeX-packages
\end_layout
+\begin_layout Bibliography
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+key "cancel"
+
+\end_inset
+
+
+\begin_inset CommandInset href
+LatexCommand href
+name "Documentation"
+target "http://mirrors.ctan.org/macros/latex/contrib/cancel/cancel.pdf"
+
+\end_inset
+
+ of the LaTeX-package
+\series bold
+cancel
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Packages ! cancel
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
\begin_layout Bibliography
\begin_inset CommandInset bibitem
LatexCommand bibitem
hyperref
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Bibliography
\begin_inset CommandInset bibitem
LatexCommand bibitem
-key "Mathclap"
+key "mhchem"
\end_inset
\begin_inset CommandInset href
LatexCommand href
-name "Description"
-target "http://www.tug.org/TUGboat/Articles/tb22-4/tb72perlS.pdf"
+name "Documentation"
+target "http://www.ctan.org/tex-archive/macros/latex/contrib/mhchem/mhchem.pdf"
\end_inset
- of the command
+ of the LaTeX-package
\series bold
-
-\backslash
-mathclap
+mhchem
\series default
-, described in
-\begin_inset CommandInset ref
-LatexCommand ref
-reference "sub:Operator-Limits"
-\end_inset
-
-
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
-Commands ! M !
-\backslash
-mathclap
+Packages ! mhchem
\end_layout
\end_inset
Auflage, Duden 2001
\end_layout
-\begin_layout Subsubsection*
+\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/Document/checklist.pdf"
+
+\end_inset
+
+ for reviewing manuscripts
+\end_layout
+
+\begin_layout Standard
\begin_inset CommandInset index_print
LatexCommand printindex
+type "idx"
\end_inset
projects / lyx.git / blobdiff