]> git.lyx.org Git - lyx.git/blobdiff - lib/doc/Math.lyx
One more clarification on the thesaurus setup
[lyx.git] / lib / doc / Math.lyx
index dc31bc48bc0b1538ec4e1ce8e6f2281b414a6e6c..ca1fec2928f6007b0dd0d9d413a80a83f0f9f6db 100644 (file)
@@ -1,5 +1,5 @@
-#LyX 2.0 created this file. For more info see http://www.lyx.org/
-\lyxformat 413
+#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}}}}
+\@ifundefined{extrasenglish}{\usepackage[english]{babel}}{}
 \addto\extrasenglish{%
- \renewcommand*{\equationautorefname}[1]{}
- \renewcommand{\sectionautorefname}{sec.\negthinspace}
- \renewcommand{\subsectionautorefname}{sec.\negthinspace}
- \renewcommand{\subsubsectionautorefname}{sec.\negthinspace}
+ \renewcommand*{\equationautorefname}[1]{}%
+ \renewcommand{\sectionautorefname}{sec.\negthinspace}%
+ \renewcommand{\subsectionautorefname}{sec.\negthinspace}%
+ \renewcommand{\subsubsectionautorefname}{sec.\negthinspace}%
 }
 
 % don't load packages twice
 \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
 \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_mhchem 1
-\use_mathdots 1
+\use_package amsmath 2
+\use_package amssymb 2
+\use_package cancel 0
+\use_package esint 1
+\use_package mathdots 1
+\use_package mathtools 0
+\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
@@ -454,7 +457,7 @@ AmS
 \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
 
@@ -1039,7 +1042,7 @@ status open
 
 \begin_layout Plain Layout
 \align center
-\begin_inset Caption
+\begin_inset Caption Standard
 
 \begin_layout Plain Layout
 \begin_inset CommandInset label
@@ -1060,9 +1063,9 @@ Available units
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="13" columns="2">
-<features tabularvalignment="middle">
-<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
@@ -1568,7 +1571,7 @@ _
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -1851,7 +1854,7 @@ dfrac
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -2458,7 +2461,7 @@ root
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -2854,7 +2857,7 @@ brack
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="6" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -3128,7 +3131,7 @@ Case differentiations
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -3347,7 +3350,7 @@ not
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -3571,7 +3574,7 @@ reference "sub:Chemical-Symbols-and"
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -3709,9 +3712,9 @@ phantom
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<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
@@ -4156,7 +4159,7 @@ Formula ! underlined
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -4591,7 +4594,7 @@ dots
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="9" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -5423,9 +5426,9 @@ reference "sub:Automatic-Bracket-Size"
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<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
@@ -5620,9 +5623,9 @@ matrix
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<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
@@ -5827,44 +5830,6 @@ vmatrix
 Note that decorated matrices ignore the vertical alignment.
 \end_layout
 
-\begin_layout Standard
-\begin_inset Note Greyedout
-status open
-
-\begin_layout Plain Layout
-
-\series bold
-Note:
-\series default
- LaTeX limits the number of matrix columns with decorations to 10.
- If you need more than 10
-\begin_inset space ~
-\end_inset
-
-columns, you have to add this line to the document preamble:
-\end_layout
-
-\begin_layout Plain Layout
-
-\series bold
-
-\backslash
-setcounter{MaxMatrixCols}{number}
-\end_layout
-
-\begin_layout Plain Layout
-where 
-\emph on
-number
-\emph default
- is the number of columns between 11 and 99.
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
 \begin_layout Standard
 \begin_inset VSpace bigskip
 \end_inset
@@ -6054,7 +6019,7 @@ Brackets ! vertical
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="9" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -6278,7 +6243,7 @@ lfloor
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="9" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -6654,7 +6619,7 @@ These commands are used to emphasize levels of brackets:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -6909,9 +6874,9 @@ In the following table is a comparison of the variants:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
-<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
@@ -7518,7 +7483,7 @@ Brackets ! horizontal
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -8177,7 +8142,7 @@ Arrows ! horizontal
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -8386,7 +8351,7 @@ hookleftarrow
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -8602,7 +8567,7 @@ hookrightarrow
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="6" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -8766,7 +8731,7 @@ rightleftharpoons
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -8995,7 +8960,7 @@ vspace{4mm}
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -9164,7 +9129,7 @@ Arrows ! vertical
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="7" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -9348,7 +9313,7 @@ downarrow
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -9638,7 +9603,7 @@ Accents ! for one character
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -9964,7 +9929,7 @@ A
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="7" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -10280,9 +10245,9 @@ real
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
-<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
@@ -10439,12 +10404,12 @@ In mathematical text, umlauts and other accented characters can directly
 \end_layout
 
 \begin_layout Subsection
-Accents for Operators
+Accents for several Characters
 \begin_inset Index idx
 status collapsed
 
 \begin_layout Plain Layout
-Accents ! for operators
+Accents ! for several characters
 \end_layout
 
 \end_inset
@@ -10453,124 +10418,97 @@ Accents ! for operators
 \end_layout
 
 \begin_layout Standard
-With the commands 
-\series bold
+\begin_inset space \hfill{}
+\end_inset
 
-\backslash
-overset
-\series default
 
-\begin_inset Index idx
-status collapsed
+\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
-Commands ! O ! 
-\backslash
-overset
+Command
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
 
- and 
-\series bold
-
-\backslash
-underset
-\series default
-
-\begin_inset Index idx
+\begin_layout Plain Layout
+Result
+\begin_inset Note Note
 status collapsed
 
 \begin_layout Plain Layout
-Commands ! U ! 
-\backslash
-underset
-\end_layout
 
-\end_inset
-
- characters can be placed above or below an operator, respectively, to accent
- it.
- With the command 
 \series bold
 
 \backslash
-sideset
+raisebox
 \series default
-
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Commands ! S ! 
-\backslash
-sideset
+ is only used as spacer.
 \end_layout
 
 \end_inset
 
- characters can be set before and behind an operator.
- The command scheme is:
+
 \end_layout
 
-\begin_layout Standard
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
 
-\series bold
+\begin_layout Plain Layout
 
 \backslash
-sideset{character
-\series default
-\series bold
-before}{character
-\series default
-\series bold
-behind}
-\end_layout
+overleftarrow
+\begin_inset ERT
+status collapsed
 
-\begin_layout Standard
+\begin_layout Plain Layout
 
-\series bold
 
 \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
+spce 
+\end_layout
 
-\backslash
-sideset
-\series default
- for example only characters behind an operator, write nothing between the
- first braces but don't omit the braces.
+\end_inset
+
+A=B
 \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 $\raisebox{6mm}{}\overleftarrow{A=B}\raisebox{-2mm}{}$
 \end_inset
 
 
-\backslash
-{
-\series default
-'
-\series bold
+\end_layout
 
-\begin_inset Formula $\to$
 \end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
 
+\begin_layout Plain Layout
 
 \backslash
-sum_k=1
+underleftarrow
 \begin_inset ERT
 status collapsed
 
@@ -10583,44 +10521,32 @@ spce
 
 \end_inset
 
-
-\series default
-^
-\series bold
-n
-\series default
- produces:
-\begin_inset Formula 
-\[
-\sideset{}{'}\sum_{k=1}^{n}
-\]
-
-\end_inset
-
-
+A=B
 \end_layout
 
-\begin_layout Standard
-The command 
-\series bold
-
-\backslash
-overset
-\begin_inset ERT
-status collapsed
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
 
 \begin_layout Plain Layout
+\begin_inset Formula $\raisebox{5mm}{}\underleftarrow{A=B}\raisebox{-3mm}{}$
+\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
-maltese
+overleftrightarrow
 \begin_inset ERT
 status collapsed
 
@@ -10633,269 +10559,74 @@ spce
 
 \end_inset
 
+A=B
+\end_layout
 
-\series default
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
 
-\begin_inset Formula $\uparrow$
+\begin_layout Plain Layout
+\begin_inset Formula $\raisebox{6mm}{}\overleftrightarrow{A=B}\raisebox{-2mm}{}$
 \end_inset
 
 
-\series bold
-a
-\series default
- produces:
-\begin_inset Formula 
-\[
-\overset{a}{\maltese}
-\]
+\end_layout
 
 \end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
 
-As seen in the last example, with 
-\series bold
+\begin_layout Plain Layout
 
 \backslash
-overset
-\series default
- and 
-\series bold
+underleftrightarrow
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
 
-\backslash
-underset
-\series default
- symbols and characters can also be accented; with 
-\series bold
 
 \backslash
-sideset
-\series default
- this is not possible.
+spce 
 \end_layout
 
-\begin_layout Subsection
-Accents for several Characters
-\begin_inset Index idx
-status collapsed
+\end_inset
 
-\begin_layout Plain Layout
-Accents ! for several characters
+A=B
 \end_layout
 
 \end_inset
+</cell>
+<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\raisebox{5mm}{}\underleftrightarrow{A=B}\raisebox{-3mm}{}$
+\end_inset
 
 
 \end_layout
 
-\begin_layout Standard
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
+
+
 \begin_inset space \hfill{}
 \end_inset
 
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0pt">
-<column alignment="center" valignment="top" width="0pt">
-<row>
-<cell alignment="center" valignment="top" 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" bottomline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-
-\backslash
-overleftarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce 
-\end_layout
-
-\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 $\raisebox{6mm}{}\overleftarrow{A=B}\raisebox{-2mm}{}$
-\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
-underleftarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce 
-\end_layout
-
-\end_inset
-
-A=B
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $\raisebox{5mm}{}\underleftarrow{A=B}\raisebox{-3mm}{}$
-\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
-overleftrightarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce 
-\end_layout
-
-\end_inset
-
-A=B
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $\raisebox{6mm}{}\overleftrightarrow{A=B}\raisebox{-2mm}{}$
-\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
-underleftrightarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce 
-\end_layout
-
-\end_inset
-
-A=B
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $\raisebox{5mm}{}\underleftrightarrow{A=B}\raisebox{-3mm}{}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-</lyxtabular>
-
-\end_inset
-
-
-\begin_inset space \hfill{}
-\end_inset
-
-
-\begin_inset Tabular
-<lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -11181,6 +10912,13 @@ A=B
 \end_inset
 
 
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
 \end_layout
 
 \begin_layout Section
@@ -11289,14 +11027,14 @@ Space
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="7">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <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">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -11544,7 +11282,7 @@ The last size seem to produce no space.
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="3">
-<features tabularvalignment="middle">
+<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">
@@ -11673,9 +11411,9 @@ useful for summation operators:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
-<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
@@ -11811,7 +11549,7 @@ Relations like for example equal signs, are always surrounded by space.
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -11931,9 +11669,9 @@ An example to visualize the difference:
 \begin_layout Standard
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features tabularvalignment="middle">
-<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
@@ -12185,9 +11923,9 @@ hfill
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<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
@@ -12862,13 +12600,20 @@ fbox
 .
 \end_layout
 
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
 \begin_layout Standard
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
-<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
@@ -13445,9 +13190,9 @@ raisebox
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<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
@@ -13826,9 +13571,9 @@ yellow
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<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
@@ -15142,7 +14887,7 @@ Options
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="11" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -15441,7 +15186,7 @@ bigcup
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="11" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -15516,6 +15261,19 @@ status collapsed
 Commands ! P ! 
 \backslash
 prod
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+vspace{4mm}
+\end_layout
+
+\end_inset
+
+
 \end_layout
 
 \end_inset
@@ -15897,9 +15655,9 @@ For multiple integrals there are the following commands:
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<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
@@ -16022,9 +15780,9 @@ sqiint
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<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
@@ -16129,6 +15887,13 @@ dotsint
 \end_inset
 
 
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
 \end_layout
 
 \begin_layout Subsection
@@ -16160,7 +15925,7 @@ Limits are created by super- and subscripts:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -16689,8 +16454,242 @@ reference "sub:Self-defined-Operators"
 .
 \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
-\begin_inset Newpage newpage
+With the commands 
+\series bold
+
+\backslash
+overset
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! O ! 
+\backslash
+overset
+\end_layout
+
+\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
+
+\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
+
+ characters can be set before and behind a big operator.
+ The command scheme is:
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+sideset{character
+\series default
+\series bold
+before}{character
+\series default
+\series bold
+behind}
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+sideset
+\series default
+ must always be before the operator.
+ You can decorate with several characters and even with other operators
+ and symbols.
+ To place for example only characters behind a big operator, write nothing
+ between the first braces but don't omit the braces.
+\end_layout
+
+\begin_layout Standard
+For example the command 
+\series bold
+
+\backslash
+sideset{
+\begin_inset Formula $\to$
+\end_inset
+
+
+\backslash
+{
+\series default
+'
+\series bold
+
+\begin_inset Formula $\to$
+\end_inset
+
+
+\backslash
+sum_k=1
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+spce 
+\end_layout
+
+\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 Note Greyedout
+status open
+
+\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
+
+\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 ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+spce 
+\end_layout
+
+\end_inset
+
+
+\backslash
+maltese
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+spce 
+\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_inset
 
 
@@ -16733,7 +16732,7 @@ Binary operators are surrounded by space when there is a character before
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="13" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -17100,7 +17099,7 @@ bullet
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="13" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -17434,7 +17433,7 @@ vee
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="13" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -18157,10 +18156,10 @@ Latin letters in formulas can be set in one of the following font styles:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="7" columns="3">
-<features tabularvalignment="middle">
-<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
@@ -18527,10 +18526,10 @@ AbC
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="3">
-<features tabularvalignment="middle">
-<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
@@ -19304,9 +19303,9 @@ Within a formula the size can be changed using the following size commands:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
-<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
@@ -19727,7 +19726,7 @@ Greek letters ! small
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="11" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -20011,7 +20010,7 @@ vartheta
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="12" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -20318,7 +20317,7 @@ rho
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="11" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -20641,7 +20640,7 @@ Greek letters ! big
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="7" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -20825,7 +20824,7 @@ Pi
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="6" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -21117,9 +21116,9 @@ boldsymbol
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
-<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
@@ -21203,13 +21202,6 @@ theta
 \end_inset
 
 
-\end_layout
-
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
 \end_layout
 
 \begin_layout Section
@@ -21339,7 +21331,7 @@ Symbols ! mathematical
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -21598,7 +21590,7 @@ jmath
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -21897,7 +21889,7 @@ Bbbk
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -22182,7 +22174,7 @@ Symbols ! miscellaneous
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features tabularvalignment="middle">
+<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 tabularvalignment="middle">
-<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
@@ -22688,7 +22680,7 @@ bullet
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -22947,14 +22939,6 @@ diagdown
 \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
@@ -23132,7 +23116,7 @@ An overview about the different Euro symbols:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="3">
-<features tabularvalignment="middle">
+<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">
@@ -23406,7 +23390,7 @@ All relations can also be inserted via the toolbar button
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="17" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -23838,7 +23822,7 @@ nmid
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="17" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -24270,7 +24254,7 @@ widehat=
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="17" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -24763,9 +24747,9 @@ stackrel
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features tabularvalignment="middle">
-<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
@@ -24944,7 +24928,7 @@ italic
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="4">
-<features tabularvalignment="middle">
+<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">
@@ -25055,7 +25039,7 @@ The following functions are predefined:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="9" columns="4">
-<features tabularvalignment="middle">
+<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">
@@ -25610,7 +25594,7 @@ In LyX self-defined functions are displayed red, predefined ones black.
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -25751,9 +25735,9 @@ limsup
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
-<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
@@ -25913,7 +25897,7 @@ The limit is created by inserting a subscript.
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -26106,9 +26090,9 @@ The following commands can only be used in mathematical text or in TeX-mode:
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
-<column alignment="block" valignment="top" width="0">
-<column alignment="block" valignment="top" width="0">
+<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_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
-<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
@@ -26672,9 +26656,9 @@ With the following commands all letters can be accented.
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
-<column alignment="block" valignment="top" width="0">
-<column alignment="block" valignment="top" width="0">
+<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
@@ -27000,9 +26984,9 @@ t ee
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
-<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
@@ -27510,9 +27494,9 @@ textcircled
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
-<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
@@ -27759,225 +27743,6 @@ oldstylenums{0123456789
 \end_inset
 
 
-\end_layout
-
-\begin_layout Subsection
-Miscellaneous special Characters
-\begin_inset CommandInset label
-LatexCommand label
-name "sub:Miscellaneous-special-Characters"
-
-\end_inset
-
-
-\begin_inset Index idx
-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 tabularvalignment="middle">
-<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 idx
-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 Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
 \end_layout
 
 \begin_layout Section
@@ -29179,7 +28944,7 @@ Formula ! multiline ! align environment
 \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"
@@ -29947,13 +29712,6 @@ I & =a\sqrt{2}\int_{0}^{2\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\\
 \end_inset
 
 
-\end_layout
-
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
 \end_layout
 
 \begin_layout Section
@@ -31518,9 +31276,14 @@ status open
 \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
@@ -31716,6 +31479,13 @@ target "run:Formula-numbering.lyx"
 .
 \end_layout
 
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
 \begin_layout Section
 Chemical Symbols and Equations
 \begin_inset CommandInset label
@@ -31868,9 +31638,9 @@ ce
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="9" columns="2">
-<features tabularvalignment="middle">
-<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
@@ -32371,6 +32141,7 @@ status open
 \begin_layout Plain Layout
 
 \series bold
+\color none
 Note:
 \series default
  Inserting a formula to a 
@@ -32379,7 +32150,27 @@ Note:
 \backslash
 ce
 \series default
- box will lead to LaTeX errors.
+ box will lead to LaTeX errors due to a LyX bug.
+\color inherit
+
+\begin_inset Foot
+status collapsed
+
+\begin_layout Plain Layout
+\begin_inset CommandInset href
+LatexCommand href
+name "LyX-bug #8566"
+target "http://www.lyx.org/trac/ticket/8566"
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\color none
  In this case TeX code has to be used like for 
 \series bold
 
@@ -32413,6 +32204,40 @@ hyphen$Cl}
 \end_inset
 
 
+\end_layout
+
+\begin_layout Standard
+\begin_inset Note Greyedout
+status open
+
+\begin_layout Plain Layout
+
+\series bold
+\color none
+Note:
+\series default
+ It is not possible in 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
+uparrow
+\series default
+: 
+\begin_inset Formula $\ce{Fe + 2H+ -> Fe^{2+} + H2\negthinspace\uparrow}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
 \end_layout
 
 \begin_layout Standard
@@ -33002,6 +32827,13 @@ Manuals
 .
 \end_layout
 
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
 \begin_layout Section
 User-defined Commands
 \begin_inset Index idx
@@ -33398,9 +33230,9 @@ A test of the new defined commands:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="6" columns="2">
-<features tabularvalignment="middle">
-<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
@@ -34181,8 +34013,8 @@ The macro toolbar contains from left to right the following buttons:
 \begin_layout Standard
 \begin_inset Tabular
 <lyxtabular version="3" rows="9" columns="2">
-<features islongtable="true" longtabularalignment="center">
-<column alignment="left" valignment="top" width="0">
+<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">
@@ -34742,7 +34574,7 @@ LyX Functions
 \end_inset
 
 g.
-\begin_inset space ~
+\begin_inset space \space{}
 \end_inset
 
 bind the 
@@ -34763,20 +34595,13 @@ Maxima
 command-alternatives break-paragraph;math-extern maxima
 \end_layout
 
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
 \begin_layout Section
-Tips
+Miscellaneous
 \begin_inset Index idx
 status collapsed
 
 \begin_layout Plain Layout
-Tips
+Miscellaneous
 \end_layout
 
 \end_inset
@@ -34818,9 +34643,9 @@ An example to visualize the problem:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
-<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
@@ -35078,9 +34903,9 @@ The following commands are defined:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<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
@@ -35319,6 +35144,19 @@ status collapsed
 Commands ! G ! 
 \backslash
 genfrac
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+vspace{4mm}
+\end_layout
+
+\end_inset
+
+
 \end_layout
 
 \end_inset
@@ -35376,9 +35214,9 @@ The style is a number in the range of 0
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
-<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
@@ -35579,13 +35417,6 @@ fracS}[3][]{
 genfrac{}{}{#1}{}{#2}{#3}}
 \end_layout
 
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
 \begin_layout Standard
 A test:
 \begin_inset Formula 
@@ -35678,9 +35509,9 @@ There are four ways to cancel formulas:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
-<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
 
 
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
 \end_layout
 
 \begin_layout Subsection
@@ -36250,7 +36088,7 @@ Heading without formula in table of contents
 \end_inset
 
 
-\begin_inset Argument
+\begin_inset Argument 1
 status collapsed
 
 \begin_layout Plain Layout
 \end_inset
 
 
-\end_layout
-
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
 \end_layout
 
 \begin_layout Subsection
@@ -37319,7 +37150,7 @@ Percent and perthousand signs are set like physical units:
 \begin_inset Newline newline
 \end_inset
 
-1,2
+1.2
 \begin_inset space \thinspace{}
 \end_inset
 
@@ -37499,7 +37330,7 @@ Some characters and symbols can be created with several commands.
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="12" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -37826,7 +37657,7 @@ vert
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="12" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -38130,7 +37961,6 @@ Vert
 \end_layout
 
 \begin_layout Bibliography
-\labelwidthstring References
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "TLC2"
@@ -38151,7 +37981,6 @@ The LaTeX Companion
 \end_layout
 
 \begin_layout Bibliography
-\labelwidthstring References
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "Mathmode"
@@ -38170,7 +37999,6 @@ target "ftp://ftp.dante.de/tex-archive/info/math/voss/mathmode/Mathmode.pdf"
 \end_layout
 
 \begin_layout Bibliography
-\labelwidthstring References
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "AMS"
@@ -38181,7 +38009,7 @@ key "AMS"
 \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
 
@@ -38202,7 +38030,6 @@ AmS
 \end_layout
 
 \begin_layout Bibliography
-\labelwidthstring References
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "Symbols"
@@ -38221,7 +38048,6 @@ target "ftp://ftp.dante.de/tex-archive/info/symbols/comprehensive/symbols-a4.pdf
 \end_layout
 
 \begin_layout Bibliography
-\labelwidthstring References
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "cancel"
@@ -38254,7 +38080,6 @@ Packages ! cancel
 \end_layout
 
 \begin_layout Bibliography
-\labelwidthstring References
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "hyperref"
@@ -38287,7 +38112,6 @@ Packages ! hyperref
 \end_layout
 
 \begin_layout Bibliography
-\labelwidthstring References
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "mhchem"
@@ -38320,7 +38144,6 @@ Packages ! mhchem
 \end_layout
 
 \begin_layout Bibliography
-\labelwidthstring References
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "Mathclap"
@@ -38364,7 +38187,6 @@ mathclap
 \end_layout
 
 \begin_layout Bibliography
-\labelwidthstring References
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "Duden"
@@ -38381,7 +38203,6 @@ Duden Band 1
 \end_layout
 
 \begin_layout Bibliography
-\labelwidthstring References
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "Checklist"