- UserGuide.lyx: LyX supports now setting of the paragraph indent width

[lyx.git] / lib / doc / Math.lyx

diff --git a/lib/doc/Math.lyx b/lib/doc/Math.lyx
index cd3a51480b7fef44221d22f347e1fc69c9c40915..064438495e4c7d744e06b45e99e3a4f7ed7fb040 100644 (file)
--- a/lib/doc/Math.lyx
+++ b/lib/doc/Math.lyx
@@ -1,5 +1,5 @@
-#LyX 2.0.0svn created this file. For more info see http://www.lyx.org/
-\lyxformat 401
+#LyX 2.0 created this file. For more info see http://www.lyx.org/
+\lyxformat 413

 \begin_document
 \begin_header
 \textclass scrartcl
 \begin_document
 \begin_header
 \textclass scrartcl


@@ -41,11 +41,13 @@
 \AtBeginDocument{\renewcommand{\ref}[1]{\mbox{\autoref{#1}}}}
 \newlength{\abc}
 \settowidth{\abc}{\space}
 \AtBeginDocument{\renewcommand{\ref}[1]{\mbox{\autoref{#1}}}}
 \newlength{\abc}
 \settowidth{\abc}{\space}

+\AtBeginDocument{%

 \addto\extrasenglish{
  \renewcommand{\equationautorefname}{\hspace{-\abc}}
  \renewcommand{\sectionautorefname}{sec.\negthinspace}
  \renewcommand{\subsectionautorefname}{sec.\negthinspace}
  \renewcommand{\subsubsectionautorefname}{sec.\negthinspace}}
 \addto\extrasenglish{
  \renewcommand{\equationautorefname}{\hspace{-\abc}}
  \renewcommand{\sectionautorefname}{sec.\negthinspace}
  \renewcommand{\subsectionautorefname}{sec.\negthinspace}
  \renewcommand{\subsubsectionautorefname}{sec.\negthinspace}}

+}

 
 % don't load packages twice
 % see first footnote in sec. 9.3
 
 % don't load packages twice
 % see first footnote in sec. 9.3


@@ -69,14 +71,13 @@
 % provides caption formatting
 \setkomafont{captionlabel}{\bfseries}
 
 % provides caption formatting
 \setkomafont{captionlabel}{\bfseries}
 

-% used in Kap. 22.6
+% used in sec. 23.6

 \usepackage[samesize]{cancel}
 
 \usepackage[samesize]{cancel}
 

-% enables calculation of values,
+% enables calculation of values

 \usepackage{calc}
 
 \usepackage{calc}
 

-% for multiple table row and column cells
-\usepackage{multirow}
+% for multiple columns used in sec. 23.7

 \usepackage{multicol}
 
 % needed in sec. 19.4
 \usepackage{multicol}
 
 % needed in sec. 19.4


@@ -85,9 +86,6 @@
 % for the Fourier transformation symbol
 \usepackage{mathrsfs}
 
 % for the Fourier transformation symbol
 \usepackage{mathrsfs}
 

-% center multirows (e.g. in sec. 13.3)
-\renewcommand{\multirowsetup}{\centering}
-

 % define a color, used in sec.9.3
 \definecolor{darkgreen}{cmyk}{0.5, 0, 1, 0.5}
 
 % define a color, used in sec.9.3
 \definecolor{darkgreen}{cmyk}{0.5, 0, 1, 0.5}
 


@@ -112,9 +110,6 @@
 \def\mathclap {\mathpalette \mathclapinternal}
 \def\mathclapinternal #1#2{\clap{$\mathsurround =0pt #1{#2}$}}
 
 \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
 
 % ------------------------------------
 % used to check for needed LaTeX packages


@@ -150,17 +145,18 @@
   \setboolean{upgreek}{true}}
  {\setboolean{upgreek}{false}}
 \end_preamble
   \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
 \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_default_family default
 \inputencoding auto
 \fontencoding global
 \font_roman default
 \font_sans default
 \font_typewriter default
 \font_default_family default

-\use_xetex false
+\use_non_tex_fonts false

 \font_sc false
 \font_osf false
 \font_sf_scale 100
 \font_sc false
 \font_osf false
 \font_sf_scale 100


@@ -187,7 +183,7 @@
 \pdf_colorlinks true
 \pdf_backref false
 \pdf_pdfusetitle false
 \pdf_colorlinks true
 \pdf_backref false
 \pdf_pdfusetitle false

-\pdf_quoted_options "linkcolor=black, citecolor=black, urlcolor=blue, filecolor=blue,  pdfpagelayout=OneColumn, pdfnewwindow=true,  pdfstartview=XYZ, plainpages=false, 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
 \papersize a4paper
 \use_geometry false
 \use_amsmath 2


@@ -199,6 +195,8 @@
 \use_indices false
 \paperorientation portrait
 \suppress_date false
 \use_indices false
 \paperorientation portrait
 \suppress_date false

+\use_refstyle 0
+\notefontcolor #0000ff

 \index Index
 \shortcut idx
 \color #008000
 \index Index
 \shortcut idx
 \color #008000


@@ -217,6 +215,7 @@
 \tracking_changes false
 \output_changes false
 \html_math_output 0
 \tracking_changes false
 \output_changes false
 \html_math_output 0

+\html_css_as_file 0

 \html_be_strict false
 \end_header
 
 \html_be_strict false
 \end_header
 


@@ -293,7 +292,7 @@ braket, cancel, eurosym,
 \series default
  
 \series bold
 \series default
  
 \series bold

-mhchem, multirow
+mhchem

 \series default
  and 
 \series bold
 \series default
  and 
 \series bold


@@ -2074,7 +2073,8 @@ cfrac
 \end_layout
 
 \begin_layout Standard
 \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*}
 \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*}


@@ -2262,8 +2262,10 @@ cfrac
 frac
 \series default
 :
 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
 
 
 \end_inset
 


@@ -4587,7 +4589,7 @@ dots
 \begin_layout Standard
 \align center
 \begin_inset Tabular
 \begin_layout Standard
 \align center
 \begin_inset Tabular

-<lyxtabular version="3" rows="8" columns="2">
+<lyxtabular version="3" rows="9" columns="2">

 <features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">


@@ -4841,7 +4843,7 @@ vdots
 </cell>
 </row>
 <row>
 </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
 \begin_inset Text
 
 \begin_layout Plain Layout


@@ -4852,7 +4854,7 @@ ddots
 
 \end_inset
 </cell>
 
 \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 Text
 
 \begin_layout Plain Layout


@@ -4860,6 +4862,31 @@ ddots
 \end_inset
 
 
 \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
+iddots
+\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 $\iddots$
+\end_inset
+
+

 \end_layout
 
 \end_inset
 \end_layout
 
 \end_inset


@@ -4926,6 +4953,40 @@ ldots
 \begin_inset VSpace medskip
 \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
 Specially for matrices there are ellipses that span over several columns.
  They are created with the command 
 \series bold


@@ -4976,12 +5037,14 @@ hdotsfor[2]{4}
 dots
 \series default
 :
 dots
 \series default
 :

-\begin_inset Formula \[
+\begin_inset Formula 
+\[

 \left(\begin{array}{cccc}
 A & B & C & D\\
 \hdotsfor[2]{4}\\
 q & w & e & r
 \left(\begin{array}{cccc}
 A & B & C & D\\
 \hdotsfor[2]{4}\\
 q & w & e & r

-\end{array}\right)\]
+\end{array}\right)
+\]

 
 \end_inset
 
 
 \end_inset
 


@@ -5133,7 +5196,8 @@ Math\SpecialChar \menuseparator
 Matrix
 \family default
 .
 Matrix
 \family default
 .

- You will be asked for the number of matrix columns and rows and the alignment.
+ In the matrix dialog you can specify the number of columns and rows, the
+ alignment and the decoration.

  The vertical alignment is hereby only of importance for matrices in inline
  formulas:
 \end_layout
  The vertical alignment is hereby only of importance for matrices in inline
  formulas:
 \end_layout


@@ -5288,7 +5352,12 @@ arg   "newline-insert newline"
 \begin_inset VSpace bigskip
 \end_inset
 
 \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
 
  
 \series bold
 


@@ -5752,6 +5821,48 @@ vmatrix
 \series default
  is inserted, a blue box appears between two vertical lines where the matrix
  is inserted.
 \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
+\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 \thinspace{}
+\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
 \end_layout
 
 \begin_layout Standard


@@ -7146,8 +7257,10 @@ spce
 )
 \series default
  creates
 )
 \series default
  creates

-\begin_inset Formula \[
-\ln(\frac{A}{C})\]
+\begin_inset Formula 
+\[
+\ln(\frac{A}{C})
+\]

 
 \end_inset
 
 
 \end_inset
 


@@ -7199,8 +7312,10 @@ spce
 right)
 \series default
  creates
 right)
 \series default
  creates

-\begin_inset Formula \[
-\ln\left(\frac{A}{C}\right)\]
+\begin_inset Formula 
+\[
+\ln\left(\frac{A}{C}\right)
+\]

 
 \end_inset
 
 
 \end_inset
 


@@ -7309,8 +7424,10 @@ right}
  creates:
 \series bold
 
  creates:
 \series bold
 

-\begin_inset Formula \[
-\left.\frac{A}{B}\right\} \]
+\begin_inset Formula 
+\[
+\left.\frac{A}{B}\right\} 
+\]

 
 \end_inset
 
 
 \end_inset
 


@@ -7366,8 +7483,10 @@ g.
 \end_inset
 
 needed for physical vectors:
 \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
 
 
 \end_inset
 


@@ -7777,7 +7896,8 @@ reference "sec:Multiline-Formulas"
 \end_inset
 
 , must be used:
 \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*}
 A & = & \underbrace{gggg+bbqq}_{r}+\: dddd\\
  &  & \hphantom{gggg+\:}\underbrace{\hphantom{bbqq+dddd}}_{s}
 \end{eqnarray*}


@@ -7913,7 +8033,8 @@ jot}{-6pt}
 \end_inset
 
 
 \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*}
  &  & \hphantom{gggg+\:}\overbrace{\hphantom{bbqq+dddd}}^{s}\\
 A & = & \underbrace{gggg+bbqq}_{r}+\: dddd
 \end{eqnarray*}


@@ -8035,13 +8156,6 @@ Arrows can be inserted via the math toolbar button
  or the commands listed in the following subsections.
 \end_layout
 
  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 idx
 \begin_layout Subsection
 Horizontal Arrows
 \begin_inset Index idx


@@ -9390,13 +9504,6 @@ reference "sub:Automatic-Bracket-Size"
 .
 \end_layout
 
 .
 \end_layout
 

-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-

 \begin_layout Section
 Accents
 \begin_inset CommandInset label
 \begin_layout Section
 Accents
 \begin_inset CommandInset label


@@ -9477,14 +9584,22 @@ status collapsed
 
 \begin_layout Plain Layout
 
 
 \begin_layout Plain Layout
 

+\series bold
+

 \backslash
 \backslash

-texorpdfstring is used to avoid that the footnote appears in the PDF-bookmark.
+texorpdfstring
+\series default
+ is used to avoid that the footnote appears in the PDF-bookmark.

 \end_layout
 
 \begin_layout Plain Layout
 More about 
 \end_layout
 
 \begin_layout Plain Layout
 More about 

+\series bold
+

 \backslash
 \backslash

-texorpdfstring is in section 
+texorpdfstring
+\series default
+ is in section 

 \begin_inset CommandInset ref
 LatexCommand ref
 reference "sub:Formulas-in-Section"
 \begin_inset CommandInset ref
 LatexCommand ref
 reference "sub:Formulas-in-Section"


@@ -10475,8 +10590,10 @@ spce
 n
 \series default
  produces:
 n
 \series default
  produces:

-\begin_inset Formula \[
-\sideset{}{'}\sum_{k=1}^{n}\]
+\begin_inset Formula 
+\[
+\sideset{}{'}\sum_{k=1}^{n}
+\]

 
 \end_inset
 
 
 \end_inset
 


@@ -10527,8 +10644,10 @@ spce
 a
 \series default
  produces:
 a
 \series default
  produces:

-\begin_inset Formula \[
-\overset{a}{\maltese}\]
+\begin_inset Formula 
+\[
+\overset{a}{\maltese}
+\]

 
 \end_inset
 
 
 \end_inset
 


@@ -10981,8 +11100,10 @@ widehat
 \series default
  will only be set in the output with a length of three characters, as shown
  in the following example:
 \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
 
 
 \end_inset
 


@@ -11052,8 +11173,10 @@ A=B
 ***
 \series default
  creates:
 ***
 \series default
  creates:

-\begin_inset Formula \[
-\underset{***}{A=B}\]
+\begin_inset Formula 
+\[
+\underset{***}{A=B}
+\]

 
 \end_inset
 
 
 \end_inset
 


@@ -13085,8 +13208,10 @@ fboxsep 3mm
 \end_inset
 
 
 \end_inset
 
 

-\begin_inset Formula \[
-\boxed{A+B=C}\]
+\begin_inset Formula 
+\[
+\boxed{A+B=C}
+\]

 
 \end_inset
 
 
 \end_inset
 


@@ -13942,16 +14067,20 @@ An example:
 \begin_layout Standard
 
 \color red
 \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
 
 
 \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
 
 
 \end_inset
 


@@ -14063,8 +14192,10 @@ fboxsep 1mm
 \end_inset
 
 
 \end_inset
 
 

-\begin_inset Formula \[
-\fcolorbox{cyan}{magenta}{A=B}\]
+\begin_inset Formula 
+\[
+\fcolorbox{cyan}{magenta}{A=B}
+\]

 
 \end_inset
 
 
 \end_inset
 


@@ -14246,8 +14377,10 @@ darkgreen
 yellow
 \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
 
 
 \end_inset
 


@@ -14668,8 +14801,10 @@ fboxrule}{
 \end_inset
 
 
 \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
 
 
 \end_inset
 


@@ -14904,8 +15039,10 @@ commented
 \end_inset
 
  using the mathematical textmode:
 \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
 
 
 \end_inset
 


@@ -16135,8 +16272,10 @@ arg   "math-limits"
 
 \begin_layout Standard
 The default limits type is this:
 
 \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
 
 
 \end_inset
 


@@ -16147,8 +16286,10 @@ Inline
 \family default
 \series default
 :
 \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
 
 
 \end_inset
 


@@ -16175,8 +16316,10 @@ ointop
 Display
 \series default
  and so set below the integrals:
 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
 
 
 \end_inset
 


@@ -16225,12 +16368,14 @@ substack
 
  are used.
  To create for example this expression 
 
  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}
 \sum_{\begin{subarray}{c}
 0<k<1000\\
 \\
 k\,\in\,\mathbb{N}

-\end{subarray}}^{n}k^{-2}\label{eq:substack}\end{equation}
+\end{subarray}}^{n}k^{-2}\label{eq:substack}
+\end{equation}

 
 \end_inset
 
 
 \end_inset
 


@@ -16501,12 +16646,14 @@ spce
 \begin_layout Standard
 to create the lower limit.
  The summand is now directly behind the summation operator:
 \begin_layout Standard
 to create the lower limit.
  The summand is now directly behind the summation operator:

-\begin_inset Formula \[
+\begin_inset Formula 
+\[

 \sum_{\mathclap{\substack{0<k<1000\\
 \\
 k\,\in\,\mathbb{N}
 }
 \sum_{\mathclap{\substack{0<k<1000\\
 \\
 k\,\in\,\mathbb{N}
 }

-}}^{n}k^{-2}\]
+}}^{n}k^{-2}
+\]

 
 \end_inset
 
 
 \end_inset
 


@@ -16527,6 +16674,13 @@ reference "sub:Self-defined-Operators"
 .
 \end_layout
 
 .
 \end_layout
 

+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+

 \begin_layout Subsection
 Binary Operators
 \begin_inset CommandInset label
 \begin_layout Subsection
 Binary Operators
 \begin_inset CommandInset label


@@ -17758,8 +17912,10 @@ reference "sub:Miscellaneous-Symbols"
 \end_inset
 
 :
 \end_inset
 
 :

-\begin_inset Formula \[
-\Lozenge_{n=1}^{\infty}\]
+\begin_inset Formula 
+\[
+\Lozenge_{n=1}^{\infty}
+\]

 
 \end_inset
 
 
 \end_inset
 


@@ -17873,8 +18029,10 @@ be used to use one limit for several operators:
 \end_layout
 
 \begin_layout Standard
 \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
 
 
 \end_inset
 


@@ -17983,7 +18141,7 @@ Latin letters in formulas can be set in one of the following font styles:
 \begin_layout Standard
 \align center
 \begin_inset Tabular
 \begin_layout Standard
 \align center
 \begin_inset Tabular

-<lyxtabular version="3" rows="6" columns="3">
+<lyxtabular version="3" rows="7" columns="3">

 <features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">


@@ -18063,7 +18221,7 @@ ABC
 
 \begin_layout Plain Layout
 \begin_inset Info
 
 \begin_layout Plain Layout
 \begin_inset Info

-type  "shortcut"
+type  "shortcuts"

 arg   "font-noun"
 \end_inset
 
 arg   "font-noun"
 \end_inset
 


@@ -18119,7 +18277,7 @@ AbC
 
 \begin_layout Plain Layout
 \begin_inset Info
 
 \begin_layout Plain Layout
 \begin_inset Info

-type  "shortcut"
+type  "shortcuts"

 arg   "font-bold"
 \end_inset
 
 arg   "font-bold"
 \end_inset
 


@@ -18231,7 +18389,7 @@ ABC
 
 \begin_layout Plain Layout
 \begin_inset Info
 
 \begin_layout Plain Layout
 \begin_inset Info

-type  "shortcut"
+type  "shortcuts"

 arg   "font-emph"
 \end_inset
 
 arg   "font-emph"
 \end_inset
 


@@ -18242,7 +18400,7 @@ arg   "font-emph"
 </cell>
 </row>
 <row>
 </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
 \begin_inset Text
 
 \begin_layout Plain Layout


@@ -18270,7 +18428,7 @@ AbC
 
 \end_inset
 </cell>
 
 \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 Text
 
 \begin_layout Plain Layout


@@ -18278,6 +18436,57 @@ AbC
 \end_inset
 
 
 \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
+-
+\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 ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+spce 
+\end_layout
+
+\end_inset
+
+
+\series default
+AbC
+\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
+\begin_inset Formula $\mathscr{AbC}$
+\end_inset
+
+

 \end_layout
 
 \end_inset
 \end_layout
 
 \end_inset


@@ -18433,7 +18642,7 @@ AbC
 
 \begin_layout Plain Layout
 \begin_inset Info
 
 \begin_layout Plain Layout
 \begin_inset Info

-type  "shortcut"
+type  "shortcuts"

 arg   "font-roman"
 \end_inset
 
 arg   "font-roman"
 \end_inset
 


@@ -18489,7 +18698,7 @@ AbC
 
 \begin_layout Plain Layout
 \begin_inset Info
 
 \begin_layout Plain Layout
 \begin_inset Info

-type  "shortcut"
+type  "shortcuts"

 arg   "font-sans"
 \end_inset
 
 arg   "font-sans"
 \end_inset
 


@@ -18545,7 +18754,7 @@ AbC
 
 \begin_layout Plain Layout
 \begin_inset Info
 
 \begin_layout Plain Layout
 \begin_inset Info

-type  "shortcut"
+type  "shortcuts"

 arg   "font-typewriter"
 \end_inset
 
 arg   "font-typewriter"
 \end_inset
 


@@ -18603,8 +18812,10 @@ mathnormal
 
 \begin_layout Standard
 The style commands work also for letters in mathematical constructs:
 
 \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
 
 
 \end_inset
 


@@ -18693,8 +18904,10 @@ mathbf
 \end_layout
 
 \begin_layout Standard
 \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
 
 
 \end_inset
 


@@ -18709,8 +18922,10 @@ To display the formula correctly, the command
 boldsymbol
 \series default
  is used:
 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
 
 
 \end_inset
 


@@ -18770,8 +18985,10 @@ boldmath
 \end_inset
 
 
 \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
 
 
 \end_inset
 


@@ -18813,8 +19030,10 @@ Text Style
 \family default
  dialog.
  Here is a formula in magenta:
 \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
 
 
 \end_inset
 


@@ -18877,8 +19096,10 @@ textcolor{darkgreen}{
 \end_inset
 
 
 \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
 
 
 \end_inset
 


@@ -19059,13 +19280,6 @@ normalsize
  is inserted behind the formula in TeX-mode.
 \end_layout
 
  is inserted behind the formula in TeX-mode.
 \end_layout
 

-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-

 \begin_layout Standard
 Within a formula the size can be changed using the following size commands:
 \end_layout
 \begin_layout Standard
 Within a formula the size can be changed using the following size commands:
 \end_layout


@@ -19266,14 +19480,18 @@ huge
 \end_inset
 
 
 \end_inset
 
 

-\begin_inset Formula \[
-A=\frac{B}{c}\cdot\maltese\]
+\begin_inset Formula 
+\[
+A=\frac{B}{c}\cdot\maltese
+\]

 
 \end_inset
 
 
 
 \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
 
 
 \end_inset
 


@@ -19444,13 +19662,6 @@ If a symbol cannot be displayed in different sizes, it will always be displayed
  in the default size.
 \end_layout
 
  in the default size.
 \end_layout
 

-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-

 \begin_layout Section
 Greek Letters
 \begin_inset Index idx
 \begin_layout Section
 Greek Letters
 \begin_inset Index idx


@@ -19466,7 +19677,7 @@ Greek letters
 \end_layout
 
 \begin_layout Standard
 \end_layout
 
 \begin_layout Standard

-All Greek letters can also be inserted via the toolbar button 
+Greek letters can also be inserted via the toolbar button 

 \begin_inset Graphics
        filename ../images/math/alpha.png
        scale 85
 \begin_inset Graphics
        filename ../images/math/alpha.png
        scale 85


@@ -19474,6 +19685,10 @@ All Greek letters can also be inserted via the toolbar button
 \end_inset
 
 .
 \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
 \end_layout
 
 \begin_layout Subsection


@@ -20380,7 +20595,7 @@ omega
 \end_layout
 
 \begin_layout Standard
 \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_inset CommandInset ref
 LatexCommand ref
 reference "sub:Upright-small-Greek"


@@ -20771,11 +20986,79 @@ var
 \backslash
 varGamma
 \series default
 \backslash
 varGamma
 \series default

- produces: 
+ produces 

 \begin_inset Formula $\varGamma$
 \end_inset
 
 \begin_inset Formula $\varGamma$
 \end_inset
 

+.
+ Another way is to load the package 
+\series bold
+fixmath
+\series default
+
+\begin_inset Foot
+status collapsed
+
+\begin_layout Plain Layout

 
 

+\series bold
+fixmath
+\series default
+ is part of the LaTeX-package 
+\series bold
+was
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Packages ! was
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+vspace{4mm}
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+.
+\end_layout
+
+\end_inset
+
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Packages ! fixmath
+\end_layout
+
+\end_inset
+
+ with the LaTeX-preamble line
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+usepackage{fixmath}
+\end_layout
+
+\begin_layout Standard
+Then all big Greek letters in a document will automatically be typeset italic.

 \end_layout
 
 \begin_layout Subsection
 \end_layout
 
 \begin_layout Subsection


@@ -20905,6 +21188,13 @@ theta
 \end_inset
 
 
 \end_inset
 
 

+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+

 \end_layout
 
 \begin_layout Section
 \end_layout
 
 \begin_layout Section


@@ -25713,8 +26003,10 @@ x=B
 
 \begin_layout Standard
 In a displayed formula the limit is set below the formula, as usual:
 
 \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_inset
 


@@ -25741,7 +26033,8 @@ The modulo-function is special, because it exists in four variants.
 
 \begin_layout Standard
 The variants in a displayed formula:
 
 \begin_layout Standard
 The variants in a displayed formula:

-\begin_inset Formula \begin{align*}
+\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\\
 \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\\


@@ -27654,6 +27947,13 @@ textdegree
 fi}
 \end_layout
 
 fi}
 \end_layout
 

+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+

 \begin_layout Section
 Formula Styles
 \begin_inset CommandInset label
 \begin_layout Section
 Formula Styles
 \begin_inset CommandInset label


@@ -27944,7 +28244,8 @@ Formula ! multiline ! Line separation
 
 \begin_layout Standard
 There is sometimes not enough space in multiline formulas between the lines:
 
 \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*}
 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*}


@@ -28151,7 +28452,8 @@ jot}{3mm+3pt}
 \end_inset
 
 
 \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*}
 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*}


@@ -28309,7 +28611,8 @@ arraycolsep}{1cm}
 \end_inset
 
 
 \end_inset
 
 

-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula 
+\begin{eqnarray*}

 A & = & B\\
 C & \ne & A
 \end{eqnarray*}
 A & = & B\\
 C & \ne & A
 \end{eqnarray*}


@@ -28336,7 +28639,8 @@ arraycolsep}{5pt}
 \end_inset
 
 
 \end_inset
 
 

-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula 
+\begin{eqnarray*}

 A & = & B\\
 C & \ne & A
 \end{eqnarray*}
 A & = & B\\
 C & \ne & A
 \end{eqnarray*}


@@ -28368,7 +28672,8 @@ Long formulas can be typeset using these methods:
 When one side of the equation is much shorther than the line width, this
  one is chosen for the left side and the right side is typeset over two
  lines:
 When one side of the equation is much shorther than the line width, this
  one is chosen for the left side and the right side is typeset over two
  lines:

-\begin_inset 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}
 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}


@@ -28449,7 +28754,8 @@ lefteqn
  is used.
  It is inserted to the first column of the first line and effects that all
  further insertions overwrite the following columns:
  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}
+\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}
 \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}


@@ -28583,7 +28889,8 @@ Brackets ! for multiline expressions
 
 \begin_layout Standard
 For brackets spanning multiple lines the following problem occurs:
 
 \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*}
 A & = & \sin(x)\left[\prod_{R=1}^{\infty}\frac{1}{R}+\cdots\right.\\
  &  & \left.\cdots+B-D\right]
 \end{eqnarray*}


@@ -28757,7 +29064,8 @@ vphantom
 
 \begin_layout Standard
 The result is this:
 
 \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*}
 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*}


@@ -28861,7 +29169,8 @@ AMS align Environment
 \begin_layout Standard
 An example for two formulas set side by side, that are created with a four
  column align environment:
 \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*}
 A & =\sin(B) & C & =D\\
 C & \ne A & B & \ne D
 \end{align*}


@@ -28961,7 +29270,8 @@ The above example in the alignat environment where 1
 \end_inset
 
 cm space was inserted at the beginning of the second formula:
 \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*}
 A & =\sin(B) & \hspace{1cm}C & =D\\
 C & \ne A & B & \ne D
 \end{alignat*}


@@ -28998,7 +29308,8 @@ Formula ! multiline ! flalign environment
 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:
 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*}
 A & =1 & B & =2 & C & =3\\
 X & =\textrm{-}1 & Y & =\textrm{-}2 & Z & =4
 \end{flalign*}


@@ -29024,8 +29335,10 @@ reference "eq:VolInt"
 \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
 


@@ -29068,7 +29381,8 @@ When this environment has been created, three blue boxes appear.
  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.
  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
 \frac{ABC}{D} & \frac{ABC}{D} & \frac{ABC}{D}\\
 AB & AB & AB\\
 A & = & A


@@ -29096,7 +29410,8 @@ Formula ! multiline ! gather environment
 \begin_layout Standard
 This environment consists of only one centered column.
  Every line can be numbered.
 \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}
 A=1\\
 X=\textrm{-}1
 \end{gather}


@@ -29141,7 +29456,8 @@ reference "eq:lefteqn"
 \end_inset
 
  in the multline environment:
 \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}}
 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}}


@@ -29290,7 +29606,8 @@ multlinegap}{2cm}
 \end_inset
 
 
 \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}}
 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}}


@@ -29375,11 +29692,13 @@ The first three have the same properties as the corresponding multiline
  formula environments, but it is possible to set further formula parts beside
  them.
  An example:
  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}
 \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}\]
+\right\} \textrm{Uncertainty relations}
+\]

 
 \end_inset
 
 
 \end_inset
 


@@ -29425,7 +29744,8 @@ reference "eq:shortlong"
 \end_inset
 
  in the aligned environment:
 \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}
 \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}


@@ -29590,7 +29910,8 @@ intertext
  must hereby be at the beginning of a line and appears in the output above
  this line.
  An example where the text was inserted at the beginning of the second line:
  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}
 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}


@@ -29598,6 +29919,13 @@ I & =a\sqrt{2}\int_{0}^{2\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\\
 \end_inset
 
 
 \end_inset
 
 

+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+

 \end_layout
 
 \begin_layout Section
 \end_layout
 
 \begin_layout Section


@@ -29952,8 +30280,10 @@ end{subequations}
 
 \begin_layout Standard
 An example:
 
 \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
 


@@ -29988,14 +30318,18 @@ begin{subequations}
 \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
 
 
 
 \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
 
 
 \end_inset
 


@@ -30210,7 +30544,8 @@ begin{subequations}
 \end_inset
 
 
 \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}
 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}


@@ -30328,8 +30663,10 @@ tag
 \end_inset
 
  is used:
 \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
 
 
 \end_inset
 


@@ -30376,8 +30713,10 @@ spce
 something
 \series default
  is inserted instead, the star prevents the parentheses around the expression:
 something
 \series default
  is inserted instead, the star prevents the parentheses around the expression:

-\begin_inset Formula \[
-A+B=C\tag*{something}\]
+\begin_inset Formula 
+\[
+A+B=C\tag*{something}
+\]

 
 \end_inset
 
 
 \end_inset
 


@@ -30759,8 +31098,10 @@ numberwithin{equation}{section}
 \end_inset
 
 
 \end_inset
 
 

-\begin_inset Formula \begin{equation}
-A+B=C\end{equation}
+\begin_inset Formula 
+\begin{equation}
+A+B=C
+\end{equation}

 
 \end_inset
 
 
 \end_inset
 


@@ -31171,8 +31512,10 @@ roman{equation}}
 \end_layout
 
 \begin_layout Standard
 \end_layout
 
 \begin_layout Standard

-\begin_inset Formula \begin{equation}
-A=\textrm{small roman}\end{equation}
+\begin_inset Formula 
+\begin{equation}
+A=\textrm{small roman}
+\end{equation}

 
 \end_inset
 
 
 \end_inset
 


@@ -31194,8 +31537,10 @@ Roman{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
 


@@ -31217,8 +31562,10 @@ alph{equation}}
 \end_inset
 
 
 \end_inset
 
 

-\begin_inset Formula \begin{equation}
-C=\textrm{small Latin}\end{equation}
+\begin_inset Formula 
+\begin{equation}
+C=\textrm{small Latin}
+\end{equation}

 
 \end_inset
 
 
 \end_inset
 


@@ -31240,8 +31587,10 @@ Alph{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
 
 
 \end_inset
 


@@ -31294,8 +31643,10 @@ arabic{equation}}
 \end_inset
 
 
 \end_inset
 
 

-\begin_inset Formula \begin{equation}
-E=\textrm{Arabic}\end{equation}
+\begin_inset Formula 
+\begin{equation}
+E=\textrm{Arabic}
+\end{equation}

 
 \end_inset
 
 
 \end_inset
 


@@ -31388,8 +31739,10 @@ The
 
 .
  The chemical equation for this is:
 
 .
  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}
+\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_inset
 


@@ -32165,7 +32518,8 @@ reference "eq:TEOS-reaction-2"
 
  are an example of a multi-stage chemical reaction where every equation
  has its own number.
 
  are an example of a multi-stage chemical reaction where every equation
  has its own number.

-\begin_inset Formula \begin{eqnarray}
+\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}
 \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}


@@ -32225,13 +32579,6 @@ key "mhchem"
 .
 \end_layout
 
 .
 \end_layout
 

-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-

 \begin_layout Section
 Diagrams
 \end_layout
 \begin_layout Section
 Diagrams
 \end_layout


@@ -32265,11 +32612,13 @@ Diagrams ! amscd
 \begin_layout Standard
 Diagrams of this type visualize relations by vertical and horizontal lines
  or arrows:
 \begin_layout Standard
 Diagrams of this type visualize relations by vertical and horizontal lines
  or arrows:

-\begin_inset Formula \[
+\begin_inset Formula 
+\[

 \begin{CD}A@>>>B@>>>C\\
 @AAA@.@VVV\\
 F@<<<E@<<<D
 \begin{CD}A@>>>B@>>>C\\
 @AAA@.@VVV\\
 F@<<<E@<<<D

-\end{CD}\]
+\end{CD}
+\]

 
 \end_inset
 
 
 \end_inset
 


@@ -32377,11 +32726,13 @@ As example a diagram with all possible relations:
 \end_layout
 
 \begin_layout Standard
 \end_layout
 
 \begin_layout Standard

-\begin_inset Formula \[
+\begin_inset Formula 
+\[

 \begin{CD}A@>j>>B@>>k>C@=F\\
 @AmAA@.@VV{V}V@|\\
 D@<<j<E@>k>>F@=C
 \begin{CD}A@>j>>B@>>k>C@=F\\
 @AmAA@.@VV{V}V@|\\
 D@<<j<E@>k>>F@=C

-\end{CD}\]
+\end{CD}
+\]

 
 \end_inset
 
 
 \end_inset
 


@@ -33294,14 +33645,18 @@ 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
  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 \[
-0=\lambda^{2}+p\lambda+q\]
+\begin_inset Formula 
+\[
+0=\lambda^{2}+p\lambda+q
+\]

 
 \end_inset
 
 The general form of the solution is
 
 \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 Formula 
+\[
+\lambda_{1,2}=-\frac{p}{2}\pm\sqrt{\frac{p²}{4}-q}
+\]

 
 \end_inset
 
 
 \end_inset
 


@@ -33630,8 +33985,10 @@ Here is our macro example with the arguments
 \end_layout
 
 \begin_layout Standard
 \end_layout
 
 \begin_layout Standard

-\begin_inset Formula \[
-\qG x{\ln(x)}B\]
+\begin_inset Formula 
+\[
+\qG x{\ln(x)}B
+\]

 
 \end_inset
 
 
 \end_inset
 


@@ -33793,7 +34150,6 @@ The macro toolbar contains from left to right the following buttons:
 \begin_layout Plain Layout
 \begin_inset Graphics
        filename ../images/math-macro-remove-param.png
 \begin_layout Plain Layout
 \begin_inset Graphics
        filename ../images/math-macro-remove-param.png

-       BoundingBox 0bp 5bp 20bp 25bp

        rotateOrigin center
 
 \end_inset
        rotateOrigin center
 
 \end_inset


@@ -33829,7 +34185,6 @@ Remove Last Argument
 \begin_layout Plain Layout
 \begin_inset Graphics
        filename ../images/math-macro-add-param.png
 \begin_layout Plain Layout
 \begin_inset Graphics
        filename ../images/math-macro-add-param.png

-       BoundingBox 0bp 5bp 20bp 25bp

        rotateOrigin center
 
 \end_inset
        rotateOrigin center
 
 \end_inset


@@ -33865,7 +34220,6 @@ Append Argument
 \begin_layout Plain Layout
 \begin_inset Graphics
        filename ../images/math-macro-make-optional.png
 \begin_layout Plain Layout
 \begin_inset Graphics
        filename ../images/math-macro-make-optional.png

-       BoundingBox 0bp 5bp 20bp 25bp

        rotateOrigin center
 
 \end_inset
        rotateOrigin center
 
 \end_inset


@@ -33924,7 +34278,6 @@ Optional Argument
 \begin_layout Plain Layout
 \begin_inset Graphics
        filename ../images/math-macro-make-nonoptional.png
 \begin_layout Plain Layout
 \begin_inset Graphics
        filename ../images/math-macro-make-nonoptional.png

-       BoundingBox 0bp 5bp 20bp 25bp

        rotateOrigin center
 
 \end_inset
        rotateOrigin center
 
 \end_inset


@@ -33983,7 +34336,6 @@ Non-Optional Argument
 \begin_layout Plain Layout
 \begin_inset Graphics
        filename ../images/math-macro-remove-optional-param.png
 \begin_layout Plain Layout
 \begin_inset Graphics
        filename ../images/math-macro-remove-optional-param.png

-       BoundingBox 0bp 5bp 20bp 25bp

        rotateOrigin center
 
 \end_inset
        rotateOrigin center
 
 \end_inset


@@ -34019,7 +34371,6 @@ Remove Optional Argument
 \begin_layout Plain Layout
 \begin_inset Graphics
        filename ../images/math-macro-add-optional-param.png
 \begin_layout Plain Layout
 \begin_inset Graphics
        filename ../images/math-macro-add-optional-param.png

-       BoundingBox 0bp 5bp 20bp 25bp

        rotateOrigin center
 
 \end_inset
        rotateOrigin center
 
 \end_inset


@@ -34055,7 +34406,6 @@ Insert Optional Argument
 \begin_layout Plain Layout
 \begin_inset Graphics
        filename ../images/math-macro-remove-greedy-param.png
 \begin_layout Plain Layout
 \begin_inset Graphics
        filename ../images/math-macro-remove-greedy-param.png

-       BoundingBox 0bp 5bp 20bp 25bp

        rotateOrigin center
 
 \end_inset
        rotateOrigin center
 
 \end_inset


@@ -34114,7 +34464,6 @@ Spitting Out To The Right
 \begin_layout Plain Layout
 \begin_inset Graphics
        filename ../images/math-macro-append-greedy-param.png
 \begin_layout Plain Layout
 \begin_inset Graphics
        filename ../images/math-macro-append-greedy-param.png

-       BoundingBox 0bp 5bp 20bp 25bp

        rotateOrigin center
 
 \end_inset
        rotateOrigin center
 
 \end_inset


@@ -34173,7 +34522,6 @@ Eating From The Right
 \begin_layout Plain Layout
 \begin_inset Graphics
        filename ../images/math-macro-add-greedy-optional-param.png
 \begin_layout Plain Layout
 \begin_inset Graphics
        filename ../images/math-macro-add-greedy-optional-param.png

-       BoundingBox 0bp 5bp 20bp 25bp

        rotateOrigin center
 
 \end_inset
        rotateOrigin center
 
 \end_inset


@@ -34232,6 +34580,148 @@ Eating From The Right
 
 \end_layout
 
 
 \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
+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
+
+ operator.
+\end_layout
+
+\begin_layout Standard
+Here are few simple examples (with results from 
+\family typewriter
+Maxima
+\family default
+) to show what kind of computations can be performed:
+\end_layout
+
+\begin_layout Itemize
+\begin_inset Formula $\frac{37}{3}*2-\sum_{i=1}^{3}i^{i}=-\frac{22}{3}$
+\end_inset
+
+
+\end_layout
+
+\begin_layout Itemize
+\begin_inset Formula $\frac{37.0}{3}=12.33333333333333$
+\end_inset
+
+
+\end_layout
+
+\begin_layout Itemize
+\begin_inset Formula $\int_{1}^{2}\sin(x)dx=\cos1-\cos2$
+\end_inset
+
+
+\end_layout
+
+\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 Itemize
+\begin_inset Formula $\lim_{x\rightarrow0}\left(\frac{\sin(x)}{x}\right)=1$
+\end_inset
+
+
+\end_layout
+
+\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 ~
+\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
+
+\series bold
+command-alternatives break-paragraph;math-extern maxima
+\end_layout
+

 \begin_layout Standard
 \begin_inset Newpage newpage
 \end_inset
 \begin_layout Standard
 \begin_inset Newpage newpage
 \end_inset


@@ -34668,8 +35158,10 @@ The command
 Braket
 \series default
  assures that all vertical bars are set in the size of the surrounding brackets:
 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
 


@@ -35048,7 +35540,8 @@ genfrac{}{}{#1}{}{#2}{#3}}
 
 \begin_layout Standard
 A test:
 
 \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{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*}


@@ -35357,8 +35850,10 @@ A=B
 cancelto
 \series default
  is especially suitable to visualize the reduction of fractions within formulas:
 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_inset
 


@@ -35876,8 +36371,10 @@ end{multicols}
 \end_inset
 
 
 \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
 
 
 \end_inset
 


@@ -36110,12 +36607,14 @@ reference "eq:within"
 
  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.
 
  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}
+\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}
 \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}
+\end{array} &  & {}\label{eq:within}
+\end{flalign}

 
 \end_inset
 
 
 \end_inset
 


@@ -36263,8 +36762,10 @@ uptau
 
 \begin_layout Standard
 With these commands reactions of elementary particles can be typeset:
 
 \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
 
 
 \end_inset
 


@@ -36741,22 +37242,8 @@ spce
 
 \end_inset
 
 
 \end_inset
 

-
-\backslash
-{F
+F

 \series default
 \series default

-
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Commands ! M ! 
-\backslash
-mathscr
-\end_layout
-
-\end_inset
-

  or via the menu 
 \family sans
 Insert\SpecialChar \menuseparator
  or via the menu 
 \family sans
 Insert\SpecialChar \menuseparator


@@ -36773,36 +37260,6 @@ Symbols
 \end_inset
 
 
 \end_inset
 
 

-\begin_inset Newline newline
-\end_inset
-
-To be able to use the command 
-\series bold
-
-\backslash
-mathscr
-\series default
-, the LaTeX package 
-\series bold
-mathrsfs
-\series default
-
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Packages ! mathrsfs
-\end_layout
-
-\end_inset
-
- needs to be loaded with the LaTeX-preamble line 
-\series bold
-
-\backslash
-usepackage{mathrsfs}
-\series default
-.

 \end_layout
 
 \begin_layout Standard
 \end_layout
 
 \begin_layout Standard