-#LyX 1.6.8svn created this file. For more info see http://www.lyx.org/
-\lyxformat 345
+#LyX 2.0 created this file. For more info see http://www.lyx.org/
+\lyxformat 413
\begin_document
\begin_header
\textclass scrartcl
\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}}
+}
% don't load packages twice
% see first footnote in sec. 9.3
% provides caption formatting
\setkomafont{captionlabel}{\bfseries}
-% used in Kap. 22.6
+% used in sec. 23.6
\usepackage[samesize]{cancel}
-% enables calculation of values,
+% enables calculation of values
\usepackage{calc}
-% for multiple table row and column cells
-\usepackage{multirow}
+% for multiple columns used in sec. 23.7
\usepackage{multicol}
% needed in sec. 19.4
% 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}
\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
\setboolean{upgreek}{true}}
{\setboolean{upgreek}{false}}
\end_preamble
-\options bibtotoc,idxtotoc,BCOR7.5mm,titlepage,tablecaptionabove
+\options bibliography=totoc,index=totoc,BCOR7.5mm,titlepage,captions=tableheading
\use_default_options false
+\maintain_unincluded_children false
\language english
+\language_package default
\inputencoding auto
+\fontencoding global
\font_roman default
\font_sans default
\font_typewriter default
\font_default_family default
+\use_non_tex_fonts false
\font_sc false
\font_osf false
\font_sf_scale 100
\font_tt_scale 100
\graphics default
+\default_output_format default
+\output_sync 0
+\bibtex_command default
+\index_command default
\paperfontsize 12
\spacing single
\use_hyperref true
\pdf_colorlinks true
\pdf_backref false
\pdf_pdfusetitle false
-\pdf_quoted_options "linkcolor=black, citecolor=black, urlcolor=blue, filecolor=blue, pdfpagelayout=OneColumn, pdfnewwindow=true, pdfstartview=XYZ, plainpages=false, pdfpagelabels"
+\pdf_quoted_options "linkcolor=black, citecolor=black, urlcolor=blue, filecolor=blue, pdfpagelayout=OneColumn, pdfnewwindow=true, pdfstartview=XYZ, plainpages=false"
\papersize a4paper
\use_geometry false
\use_amsmath 2
\use_esint 1
+\use_mhchem 1
+\use_mathdots 1
\cite_engine basic
\use_bibtopic false
+\use_indices false
\paperorientation portrait
+\suppress_date false
+\use_refstyle 0
+\notefontcolor #0000ff
+\index Index
+\shortcut idx
+\color #008000
+\end_index
\secnumdepth 4
\tocdepth 3
\paragraph_separation skip
\bullet 3 2 7 -1
\tracking_changes false
\output_changes false
-\author ""
-\author ""
+\html_math_output 0
+\html_css_as_file 0
+\html_be_strict false
\end_header
\begin_body
\series default
\series bold
-mhchem, multirow
+mhchem
\series default
and
\series bold
\begin_layout Standard
To create an inline formula
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
To create a display style formula
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
displaystyle
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
The TeX-mode
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
To change the LaTeX-preamble
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
mathematical text
\emph default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
text
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
To omit optional arguments, also omit the associated brackets.
The braces around the required arguments are named in this document as
TeX-braces
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
textvisiblespace
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_layout Subsection
Exponents
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
and Indices
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
frac
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
dfrac
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
tfrac
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
cfrac
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Standard
-\begin_inset Formula \begin{align*}
+\begin_inset Formula
+\begin{align*}
\textrm{created with \textbf{\textbackslash frac}} & & \textrm{created with \textbf{\textbackslash cfrac}}\\
-\frac{A}{B+\frac{C+\frac{E}{F}}{D}} & & \cfrac{A}{B+\cfrac{C+\cfrac{E}{F}}{D}}\end{align*}
+\frac{A}{B+\frac{C+\frac{E}{F}}{D}} & & \cfrac{A}{B+\cfrac{C+\cfrac{E}{F}}{D}}
+\end{align*}
\end_inset
frac
\series default
:
-\begin_inset Formula \[
-\cfrac{A}{B+\cfrac{C+\frac{E}{F}}{D}}\]
+\begin_inset Formula
+\[
+\cfrac{A}{B+\cfrac{C+\frac{E}{F}}{D}}
+\]
\end_inset
nicefrac
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
unitfrac
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Subsection
Roots
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
sqrt
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
root
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
leftroot
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
uproot
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Subsection
Binomial Coefficients
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
binom
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
dbinom
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
tbinom
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
brace
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
brack
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Subsection
Case Differentiations
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\end_inset
B>0
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Plain Layout
\begin_inset Formula $\begin{cases}
A & \textrm{for }x>0\\
-B & \textrm{for }x=0\end{cases}$
+B & \textrm{for }x=0
+\end{cases}$
\end_inset
\begin_layout Subsection
Negations
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
not
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
phantom
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
vphantom
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
hphantom
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
.
\end_layout
+\begin_layout Standard
+Placeholders can also be used for text when it is inserted via the menu
+
+\family sans
+Insert\SpecialChar \menuseparator
+Formatting\SpecialChar \menuseparator
+Phantom
+\family default
+:
+\end_layout
+
+\begin_layout Standard
+This is a sentence.
+\begin_inset Newline newline
+\end_inset
+
+
+\begin_inset Phantom Phantom
+status open
+
+\begin_layout Plain Layout
+This
+\end_layout
+
+\end_inset
+
+ is a sentence.
+\end_layout
+
\begin_layout Subsection
Lines
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\end_inset
A+B
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
A+B
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
rule
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
rule
\series default
- can also be used for text when it is inserted in TeX-mode.
+ can also be used for text when a line is inserted via the menu
+\family sans
+Insert\SpecialChar \menuseparator
+Formatting\SpecialChar \menuseparator
+Horizontal
+\begin_inset space ~
+\end_inset
+
+Line
+\family default
+:
+\end_layout
+
+\begin_layout Standard
+This is a sentence
+\begin_inset CommandInset line
+LatexCommand rule
+offset "0.5ex"
+width "3cm"
+height "1pt"
+
+\end_inset
+
+ with one line.
\end_layout
\begin_layout Subsection
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
ldots
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
cdots
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
dots
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
\align center
\begin_inset Tabular
-<lyxtabular version="3" rows="8" columns="2">
-<features>
+<lyxtabular version="3" rows="9" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<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
\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
\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
\begin_inset Formula $\begin{array}{ccc}
A_{11} & \cdots & A_{1m}\\
\vdots & \ddots & \vdots\\
-A_{n1} & \cdots & A_{nm}\end{array}$
+A_{n1} & \cdots & A_{nm}
+\end{array}$
\end_inset
\begin_inset VSpace medskip
\end_inset
+To use
+\series bold
+
+\backslash
+iddots
+\series default
+, one of the options
+\family sans
+Use mathdots package (automatically)
+\family default
+ must be set in the document settings under
+\family sans
+Math
+\begin_inset space ~
+\end_inset
+
+Options
+\family default
+.
+\begin_inset Newline newline
+\end_inset
+
+Using the option
+\family sans
+Use mathdots package
+\family default
+ will improve the appearance of all dots in the documents if their font
+ style or size is not the default.
+\end_layout
+
+\begin_layout Standard
+\begin_inset VSpace medskip
+\end_inset
+
Specially for matrices there are ellipses that span over several columns.
They are created with the command
\series bold
hdotsfor
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
dots
\series default
:
-\begin_inset Formula \[
+\begin_inset Formula
+\[
\left(\begin{array}{cccc}
A & B & C & D\\
\hdotsfor[2]{4}\\
-q & w & e & r\end{array}\right)\]
+q & w & e & r
+\end{array}\right)
+\]
\end_inset
dotfill
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
hrulefill
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
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
\begin_inset Formula $\begin{array}[t]{cccc}
A & D & G & J\\
B & E & H & K\\
-C & F & I & L\end{array}$
+C & F & I & L
+\end{array}$
\end_inset
, the second middle
\begin_inset Formula $\begin{array}{cccc}
A & D & G & J\\
B & E & H & K\\
-C & F & I & L\end{array}$
+C & F & I & L
+\end{array}$
\end_inset
and the third bottom
\begin_inset Formula $\begin{array}[b]{cccc}
A & D & G & J\\
B & E & H & K\\
-C & F & I & L\end{array}$
+C & F & I & L
+\end{array}$
\end_inset
aligned.
\begin_inset Formula $\begin{array}{lll}
10000 & D & G\\
B & 10000 & H\\
-C & F & 10000\end{array}$
+C & F & 10000
+\end{array}$
\end_inset
,
\begin_inset Formula $\begin{array}{ccc}
10000 & D & G\\
B & 10000 & H\\
-C & F & 10000\end{array}$
+C & F & 10000
+\end{array}$
\end_inset
,
\begin_inset Formula $\begin{array}{rrr}
10000 & D & G\\
B & 10000 & H\\
-C & F & 10000\end{array}$
+C & F & 10000
+\end{array}$
\end_inset
\begin_inset VSpace bigskip
\end_inset
-Parentheses around a matrix can can either be created with the commands
+The
+\family sans
+Decoration
+\family default
+ adds parentheses in the selected style around the matrix.
+ Alternatively, parentheses can can either be created with the commands
\series bold
left
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
right
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_layout Plain Layout
\begin_inset Formula $\raisebox{7.5mm}{}\begin{bmatrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{bmatrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{bmatrix}\raisebox{-5.3mm}{}$
\end_inset
\begin_layout Plain Layout
\begin_inset Formula $\raisebox{7.5mm}{}\begin{Bmatrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{Bmatrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{Bmatrix}\raisebox{-5.3mm}{}$
\end_inset
\begin_layout Plain Layout
\begin_inset Formula $\raisebox{7.5mm}{}\begin{pmatrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{pmatrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{pmatrix}\raisebox{-5.3mm}{}$
\end_inset
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_layout Plain Layout
\begin_inset Formula $\raisebox{7.5mm}{}\begin{vmatrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{vmatrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{vmatrix}\raisebox{-5.3mm}{}$
\end_inset
\begin_layout Plain Layout
\begin_inset Formula $\raisebox{7.5mm}{}\begin{Vmatrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{Vmatrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{Vmatrix}\raisebox{-5.3mm}{}$
\end_inset
\begin_layout Plain Layout
\begin_inset Formula $\raisebox{7.5mm}{}\begin{matrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{matrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{matrix}\raisebox{-5.3mm}{}$
\end_inset
\series default
is inserted, a blue box appears between two vertical lines where the matrix
is inserted.
+\begin_inset Newline newline
+\end_inset
+
+Note that decorated matrices ignore the vertical alignment.
+\end_layout
+
+\begin_layout Standard
+\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
arraycolsep
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
arraystretch
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
renewcommand{
\backslash
arraystretch}{stretch factor}
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
smallmatrix
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
This is a matrix
\begin_inset Formula $\left(\begin{smallmatrix}A & B\\
-C & D\end{smallmatrix}\right)$
+C & D
+\end{smallmatrix}\right)$
\end_inset
in a text line.
\begin_layout Section
Brackets and Delimiters
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Subsection
Vertical Brackets and Delimiters
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
textbackslash
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
big
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
bigm
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
bigr
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="middle" width="0">
<column alignment="center" valignment="middle" width="0">
<row>
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
left
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
right
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
)
\series default
creates
-\begin_inset Formula \[
-\ln(\frac{A}{C})\]
+\begin_inset Formula
+\[
+\ln(\frac{A}{C})
+\]
\end_inset
right)
\series default
creates
-\begin_inset Formula \[
-\ln\left(\frac{A}{C}\right)\]
+\begin_inset Formula
+\[
+\ln\left(\frac{A}{C}\right)
+\]
\end_inset
creates:
\series bold
-\begin_inset Formula \[
-\left.\frac{A}{B}\right\} \]
+\begin_inset Formula
+\[
+\left.\frac{A}{B}\right\}
+\]
\end_inset
middle
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
needed for physical vectors:
-\begin_inset Formula \[
-\left\langle \phi\:\middle|\: J=\frac{3}{2}\,,\, M_{J}\right\rangle \]
+\begin_inset Formula
+\[
+\left\langle \phi\:\middle|\: J=\frac{3}{2}\,,\, M_{J}\right\rangle
+\]
\end_inset
\begin_layout Subsection
Horizontal Brackets
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
, must be used:
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
A & = & \underbrace{gggg+bbqq}_{r}+\: dddd\\
- & & \hphantom{gggg+\:}\underbrace{\hphantom{bbqq+dddd}}_{s}\end{eqnarray*}
+ & & \hphantom{gggg+\:}\underbrace{\hphantom{bbqq+dddd}}_{s}
+\end{eqnarray*}
\end_inset
\end_inset
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
& & \hphantom{gggg+\:}\overbrace{\hphantom{bbqq+dddd}}^{s}\\
-A & = & \underbrace{gggg+bbqq}_{r}+\: dddd\end{eqnarray*}
+A & = & \underbrace{gggg+bbqq}_{r}+\: dddd
+\end{eqnarray*}
\end_inset
jot
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Section
Arrows
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
or the commands listed in the following subsections.
\end_layout
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
\begin_layout Subsection
Horizontal Arrows
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\end_inset
Furthermore there are the labeled arrows
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
xleftarrow
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
xrightarrow
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Subsection
Vertical and diagonal Arrows
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="7" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
.
\end_layout
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
\begin_layout Section
Accents
\begin_inset CommandInset label
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Plain Layout
+\series bold
+
\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
+\series bold
+
\backslash
-texorpdfstring is in section
+texorpdfstring
+\series default
+ is in section
\begin_inset CommandInset ref
LatexCommand ref
reference "sub:Formulas-in-Section"
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\end_inset
A
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="7" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
You can directly insert accents like é to formulas.
LyX will transform them to the corresponding accent command.
For umlauts
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_layout Subsection
Accents for Operators
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
overset
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
underset
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
sideset
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
n
\series default
produces:
-\begin_inset Formula \[
-\sideset{}{'}\sum_{k=1}^{n}\]
+\begin_inset Formula
+\[
+\sideset{}{'}\sum_{k=1}^{n}
+\]
\end_inset
a
\series default
produces:
-\begin_inset Formula \[
-\overset{a}{\maltese}\]
+\begin_inset Formula
+\[
+\overset{a}{\maltese}
+\]
\end_inset
\begin_layout Subsection
Accents for several Characters
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\series default
will only be set in the output with a length of three characters, as shown
in the following example:
-\begin_inset Formula \[
-\widetilde{A+B=C-D}\]
+\begin_inset Formula
+\[
+\widetilde{A+B=C-D}
+\]
\end_inset
overset
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
underset
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
***
\series default
creates:
-\begin_inset Formula \[
-\underset{***}{A=B}\]
+\begin_inset Formula
+\[
+\underset{***}{A=B}
+\]
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="7">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="middle" width="6.8cm">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="3">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="middle" width="6.8cm">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Standard
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="left" valignment="top" width="0">
<column alignment="left" valignment="top" width="0">
<row>
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
hspace
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
hfill
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_layout Subsection
Space besides inline Formulas
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
mathsurround
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
setlength
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Section
Boxes and Frames
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
fbox
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
boxed
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
framebox
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\end_inset
-\begin_inset Formula \[
-\boxed{A+B=C}\]
+\begin_inset Formula
+\[
+\boxed{A+B=C}
+\]
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
mbox
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
makebox
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
raisebox
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
colorbox
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_layout Standard
\color red
-\begin_inset Formula \begin{equation}
-\int A=B\label{eq:red}\end{equation}
+\begin_inset Formula
+\begin{equation}
+\int A=B\label{eq:red}
+\end{equation}
\end_inset
\color green
-\begin_inset Formula \begin{equation}
-\textcolor{red}{\int A=B}\label{eq:redgreen}\end{equation}
+\begin_inset Formula
+\begin{equation}
+\textcolor{red}{\int A=B}\label{eq:redgreen}
+\end{equation}
\end_inset
fcolorbox
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Formula \[
-\fcolorbox{cyan}{magenta}{A=B}\]
+\begin_inset Formula
+\[
+\fcolorbox{cyan}{magenta}{A=B}
+\]
\end_inset
0.5}
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
yellow
\series default
:
-\begin_inset Formula \begin{equation}
-\colorbox{darkgreen}{\color{yellow}\boxed{\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}}}\end{equation}
+\begin_inset Formula
+\begin{equation}
+\colorbox{darkgreen}{\color{yellow}\boxed{\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}}}
+\end{equation}
\end_inset
textcolor
\series default
:
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
textcolor
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
has_inner_box 1
inner_pos "t"
use_parbox 1
+use_makebox 0
width "5cm"
special "none"
height "1in"
parbox
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
linewidth
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Formula \begin{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
using the mathematical textmode:
-\begin_inset Formula \[
-5x-7b=3b\textrm{This is a description. It is not separated from the formula ...}\]
+\begin_inset Formula
+\[
+5x-7b=3b\textrm{This is a description. It is not separated from the formula ...}
+\]
\end_inset
\begin_layout Section
Operators
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
int
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
sum
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
prod
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset ERT
-status collapsed
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-
-
-\backslash
-hphantom{in}
+in
\end_layout
\end_inset
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Standard
The default limits type is this:
-\begin_inset Formula \[
-\sum_{x=0}^{\infty}\frac{1}{x^{2}}\]
+\begin_inset Formula
+\[
+\sum_{x=0}^{\infty}\frac{1}{x^{2}}
+\]
\end_inset
\family default
\series default
:
-\begin_inset Formula \[
-\sum\nolimits _{x=0}^{\infty}\frac{1}{x^{2}}\]
+\begin_inset Formula
+\[
+\sum\nolimits _{x=0}^{\infty}\frac{1}{x^{2}}
+\]
\end_inset
Display
\series default
and so set below the integrals:
-\begin_inset Formula \begin{equation}
-\iiint\limits _{V}X\,\mathrm{d}V=U\label{eq:VolInt}\end{equation}
+\begin_inset Formula
+\begin{equation}
+\iiint\limits _{V}X\,\mathrm{d}V=U\label{eq:VolInt}
+\end{equation}
\end_inset
subarray
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
substack
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
are used.
To create for example this expression
-\begin_inset Formula \begin{equation}
+\begin_inset Formula
+\begin{equation}
\sum_{\begin{subarray}{c}
0<k<1000\\
-\\k\,\in\,\mathbb{N}\end{subarray}}^{n}k^{-2}\label{eq:substack}\end{equation}
+\\
+k\,\in\,\mathbb{N}
+\end{subarray}}^{n}k^{-2}\label{eq:substack}
+\end{equation}
\end_inset
mathclap
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
to create the lower limit.
The summand is now directly behind the summation operator:
-\begin_inset Formula \[
+\begin_inset Formula
+\[
\sum_{\mathclap{\substack{0<k<1000\\
-\\k\,\in\,\mathbb{N}}
-}}^{n}k^{-2}\]
+\\
+k\,\in\,\mathbb{N}
+}
+}}^{n}k^{-2}
+\]
\end_inset
.
\end_layout
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
\begin_layout Subsection
Binary Operators
\begin_inset CommandInset label
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
DeclareMathOperator
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
:
-\begin_inset Formula \[
-\Lozenge_{n=1}^{\infty}\]
+\begin_inset Formula
+\[
+\Lozenge_{n=1}^{\infty}
+\]
\end_inset
mathop
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
mathbin
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Standard
-\begin_inset Formula \[
-\mathop{\sum\negmedspace\sum}_{i,j=1}^{N}\]
+\begin_inset Formula
+\[
+\mathop{\sum\negmedspace\sum}_{i,j=1}^{N}
+\]
\end_inset
\begin_layout Section
Fonts
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
\align center
\begin_inset Tabular
-<lyxtabular version="3" rows="6" columns="3">
-<features>
+<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">
\begin_layout Plain Layout
\begin_inset Info
-type "shortcut"
+type "shortcuts"
arg "font-noun"
\end_inset
\begin_layout Plain Layout
\begin_inset Info
-type "shortcut"
+type "shortcuts"
arg "font-bold"
\end_inset
\begin_layout Plain Layout
\begin_inset Info
-type "shortcut"
+type "shortcuts"
arg "font-emph"
\end_inset
</cell>
</row>
<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\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
\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
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="3">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
\begin_layout Plain Layout
\begin_inset Info
-type "shortcut"
+type "shortcuts"
arg "font-roman"
\end_inset
\begin_layout Plain Layout
\begin_inset Info
-type "shortcut"
+type "shortcuts"
arg "font-sans"
\end_inset
\begin_layout Plain Layout
\begin_inset Info
-type "shortcut"
+type "shortcuts"
arg "font-typewriter"
\end_inset
\begin_layout Standard
The style commands work also for letters in mathematical constructs:
-\begin_inset Formula \[
-\mathfrak{A=\frac{b}{C}}\]
+\begin_inset Formula
+\[
+\mathfrak{A=\frac{b}{C}}
+\]
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Standard
-\begin_inset Formula \[
-\mathbf{\int_{n}^{2}f(\theta)=\Gamma}\qquad\textrm{equation with \textbackslash mathbf}\]
+\begin_inset Formula
+\[
+\mathbf{\int_{n}^{2}f(\theta)=\Gamma}\qquad\textrm{equation with \textbackslash mathbf}
+\]
\end_inset
boldsymbol
\series default
is used:
-\begin_inset Formula \[
-\boldsymbol{\int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{equation with \textbackslash boldsymbol}}\]
+\begin_inset Formula
+\[
+\boldsymbol{\int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{equation with \textbackslash boldsymbol}}
+\]
\end_inset
boldmath
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
unboldmath
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Formula \[
-\int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{equation in a boldmath environment}\]
+\begin_inset Formula
+\[
+\int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{equation in a boldmath environment}
+\]
\end_inset
\begin_layout Subsection
Colored Formulas
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\family default
dialog.
Here is a formula in magenta:
-\begin_inset Formula \[
-{\color{magenta}\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}}\]
+\begin_inset Formula
+\[
+{\color{magenta}\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}}
+\]
\end_inset
textcolor
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Formula \[
-\int A\,\mathrm{d}x=\frac{{\color{red}\sqrt[5]{B}}}{\ln\left(\frac{1}{3}\right)}\]
+\begin_inset Formula
+\[
+\int A\,\mathrm{d}x=\frac{{\color{red}\sqrt[5]{B}}}{\ln\left(\frac{1}{3}\right)}
+\]
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain 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
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\backslash
displaystyle
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Formula \[
-A=\frac{B}{c}\cdot\maltese\]
+\begin_inset Formula
+\[
+A=\frac{B}{c}\cdot\maltese
+\]
\end_inset
-\begin_inset Formula \[
-\maltese A\textrm{\Large\maltese\textit{A}}\textrm{\tiny\maltese\textit{A}}\]
+\begin_inset Formula
+\[
+\maltese A\textrm{\Large\maltese\textit{A}}\textrm{\tiny\maltese\textit{A}}
+\]
\end_inset
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
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Standard
-All Greek letters can also be inserted via the toolbar button
+Greek letters can also be inserted via the toolbar button
\begin_inset Graphics
filename ../images/math/alpha.png
scale 85
\end_inset
.
+ All international typesetting norms purport that Greek letters in math
+ have to be typeset italic/slanted.
+ In some languages, like French or Russian, they are nevertheless sometimes
+ typeset upright.
\end_layout
\begin_layout Subsection
Small Letters
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="12" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\end_layout
\begin_layout Standard
-How to create upright Greek letters is explained in
+How to create special upright Greek letters is explained in
\begin_inset CommandInset ref
LatexCommand ref
reference "sub:Upright-small-Greek"
\begin_layout Subsection
Big Letters
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="7" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
varGamma
\series default
- produces:
+ produces
\begin_inset Formula $\varGamma$
\end_inset
+.
+ Another way is to load the package
+\series bold
+fixmath
+\series default
+
+\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
Bold Letters
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
boldsymbol
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\end_inset
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
\end_layout
\begin_layout Section
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Subsection
The Euro-Symbol €
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
eurosym
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
euro
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
officialeuro
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="3">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="17" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="17" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="17" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
stackrel
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="4">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="4">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\begin_layout Subsection
Self-defined Functions
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
sgn}{sgn}
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Subsection
Limits
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
lim
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\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
\begin_layout Subsection
Modulo-Functions
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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\\
\mathrm{a\backslash bmod\textrm{\spce}b} & & a\bmod b\\
-\mathrm{a\backslash pod\textrm{\spce}b} & & a\pod b\end{align*}
+\mathrm{a\backslash pod\textrm{\spce}b} & & a\pod b
+\end{align*}
\end_inset
\begin_layout Section
Special Characters
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="block" valignment="top" width="0">
<column alignment="block" valignment="top" width="0">
<row>
\backslash
AA
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="block" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="block" valignment="top" width="0">
<column alignment="block" valignment="top" width="0">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="block" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\backslash
~e
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
textcircled
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_layout Subsection
Minuscule Numbers
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
oldstylenums
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\backslash
circ
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
fi}
\end_layout
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
\begin_layout Section
Formula Styles
\begin_inset CommandInset label
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
mathindent
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
There is sometimes not enough space in multiline formulas between the lines:
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
B^{2}(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2})+4x_{0}^{2}x^{2}+4x_{0}xD & = & \textrm{-}4x^{2}B^{2}+4x_{0}xB^{2}\\
-4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right) & = & 0\end{eqnarray*}
+4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right) & = & 0
+\end{eqnarray*}
\end_inset
jot
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
B^{2}(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2})+4x_{0}^{2}x^{2}+4x_{0}xD & = & \textrm{-}4x^{2}B^{2}+4x_{0}xB^{2}\\
-4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right) & = & 0\end{eqnarray*}
+4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right) & = & 0
+\end{eqnarray*}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
arraycolsep
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
A & = & B\\
-C & \ne & A\end{eqnarray*}
+C & \ne & A
+\end{eqnarray*}
\end_inset
\end_inset
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
A & = & B\\
-C & \ne & A\end{eqnarray*}
+C & \ne & A
+\end{eqnarray*}
\end_inset
\begin_layout Subsubsection
Long Formulas
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
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}
+ & & -\hspace{3pt}\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{2}|}+\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{R}_{1}-\mathbf{R}_{2}|}\label{eq:shortlong}
+\end{eqnarray}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
lefteqn
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
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}\end{eqnarray}
+ & & =B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}\label{eq:lefteqn}
+\end{eqnarray}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
For brackets spanning multiple lines the following problem occurs:
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
A & = & \sin(x)\left[\prod_{R=1}^{\infty}\frac{1}{R}+\cdots\right.\\
- & & \left.\cdots+B-D\right]\end{eqnarray*}
+ & & \left.\cdots+B-D\right]
+\end{eqnarray*}
\end_inset
right.
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
_R=1}
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
The result is this:
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
A & = & \sin(x)\left[\prod_{R=1}^{\infty}\frac{1}{R}+\cdots\right.\\
- & & \left.\vphantom{\prod_{R=1}^{\infty}}\cdots+B-D\right]\end{eqnarray*}
+ & & \left.\vphantom{\prod_{R=1}^{\infty}}\cdots+B-D\right]
+\end{eqnarray*}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
An example for two formulas set side by side, that are created with a four
column align environment:
-\begin_inset Formula \begin{align*}
+\begin_inset Formula
+\begin{align*}
A & =\sin(B) & C & =D\\
-C & \ne A & B & \ne D\end{align*}
+C & \ne A & B & \ne D
+\end{align*}
\end_inset
\begin_layout Subsubsection
Alignat Environment
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
cm space was inserted at the beginning of the second formula:
-\begin_inset Formula \begin{alignat*}{2}
+\begin_inset Formula
+\begin{alignat*}{2}
A & =\sin(B) & \hspace{1cm}C & =D\\
-C & \ne A & B & \ne D\end{alignat*}
+C & \ne A & B & \ne D
+\end{alignat*}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
In this environment the first two columns are always set as much as possible
to the left and the last two ones to the right.
An example:
-\begin_inset Formula \begin{flalign*}
+\begin_inset Formula
+\begin{flalign*}
A & =1 & B & =2 & C & =3\\
-X & =\textrm{-}1 & Y & =\textrm{-}2 & Z & =4\end{flalign*}
+X & =\textrm{-}1 & Y & =\textrm{-}2 & Z & =4
+\end{flalign*}
\end_inset
\end_inset
:
-\begin_inset Formula \begin{flalign}
-\hspace{30pt}\iiint\limits _{V}X\,\mathrm{d}V & =U & {}\end{flalign}
+\begin_inset Formula
+\begin{flalign}
+\hspace{30pt}\iiint\limits _{V}X\,\mathrm{d}V & =U & {}
+\end{flalign}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
one left aligned.
The content of the middle box appears centered and a bit smaller, because
it is designed to insert there only relation characters.
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
\frac{ABC}{D} & \frac{ABC}{D} & \frac{ABC}{D}\\
AB & AB & AB\\
-A & = & A\end{eqnarray*}
+A & = & A
+\end{eqnarray*}
\end_inset
\begin_layout Subsection
Gather Environment
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
This environment consists of only one centered column.
Every line can be numbered.
-\begin_inset Formula \begin{gather}
+\begin_inset Formula
+\begin{gather}
A=1\\
-X=\textrm{-}1\end{gather}
+X=\textrm{-}1
+\end{gather}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
in the multline environment:
-\begin_inset Formula \begin{multline}
+\begin_inset Formula
+\begin{multline}
4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right)+D^{2}\\
-B^{2}-2B\sqrt{r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}+r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}\\
-=B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}\end{multline}
+=B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}
+\end{multline}
\end_inset
shoveright
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
shoveleft
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
multlinegap
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Formula \begin{multline}
+\begin_inset Formula
+\begin{multline}
4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right)+D^{2}\\
\shoveleft{-B^{2}-2B\sqrt{r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}+r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}\\
-=B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}\end{multline}
+=B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}
+\end{multline}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
formula environments, but it is possible to set further formula parts beside
them.
An example:
-\begin_inset Formula \[
+\begin_inset Formula
+\[
\left.\begin{aligned}\Delta x\Delta p & \ge\frac{\hbar}{2}\\
-\Delta E\Delta t & \ge\frac{\hbar}{2}\end{aligned}
-\right\} \textrm{Uncertainty relations}\]
+\Delta E\Delta t & \ge\frac{\hbar}{2}
+\end{aligned}
+\right\} \textrm{Uncertainty relations}
+\]
\end_inset
aligned
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
in the aligned environment:
-\begin_inset Formula \begin{equation}
+\begin_inset Formula
+\begin{equation}
\begin{aligned}H=\; & W_{SB}+W_{mv}+W_{D}-\frac{\hbar^{2}}{2m_{0}}\Delta-\frac{\hbar^{2}}{2m_{1}}\Delta_{1}-\frac{\hbar^{2}}{2m_{2}}\Delta_{2}-\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{1}|}\\
- & -\hspace{3pt}\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{2}|}+\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{R}_{1}-\mathbf{R}_{2}|}\end{aligned}
+ & -\hspace{3pt}\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{2}|}+\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{R}_{1}-\mathbf{R}_{2}|}
+\end{aligned}
\end{equation}
\end_inset
alignedat
\series default
,
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
gathered
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
split
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
intertext
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
must hereby be at the beginning of a line and appears in the output above
this line.
An example where the text was inserted at the beginning of the second line:
-\begin_inset Formula \begin{align}
+\begin_inset Formula
+\begin{align}
I & =a\sqrt{2}\int_{0}^{2\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\\
-\intertext{\text{integrand is symmetric to \ensuremath{\phi=\pi}, therefore}} & =2a\sqrt{2}\int_{0}^{\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\end{align}
+\intertext{\text{integrand is symmetric to \ensuremath{\phi=\pi}, therefore}} & =2a\sqrt{2}\int_{0}^{\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi
+\end{align}
\end_inset
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
\end_layout
\begin_layout Section
Formula Numbering
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Subsection
Cross-References
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Subsection
Subnumbering
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
An example:
-\begin_inset Formula \begin{equation}
-A=C-B\label{eq:a}\end{equation}
+\begin_inset Formula
+\begin{equation}
+A=C-B\label{eq:a}
+\end{equation}
\end_inset
\end_inset
-\begin_inset Formula \begin{equation}
-B=C-A\label{eq:b}\end{equation}
+\begin_inset Formula
+\begin{equation}
+B=C-A\label{eq:b}
+\end{equation}
\end_inset
-\begin_inset Formula \begin{equation}
-C=A+B\label{eq:c}\end{equation}
+\begin_inset Formula
+\begin{equation}
+C=A+B\label{eq:c}
+\end{equation}
\end_inset
addtocounter{equation}{-1}
\backslash
begin{subequations}
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Formula \begin{eqnarray}
+\begin_inset Formula
+\begin{eqnarray}
A & = & (B-Z)^{2}=(B-Z)(B-Z)\label{eq:d}\\
& = & B^{2}-ZB-BZ+Z^{2}\nonumber \\
- & = & B^{2}-2BZ+Z^{2}\label{eq:f}\end{eqnarray}
+ & = & B^{2}-2BZ+Z^{2}\label{eq:f}
+\end{eqnarray}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Standard
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
tag
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
is used:
-\begin_inset Formula \begin{equation}
-A+B=C\tag{something}\label{eq:tag}\end{equation}
+\begin_inset Formula
+\begin{equation}
+A+B=C\tag{something}\label{eq:tag}
+\end{equation}
\end_inset
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
@addtoreset{equation}{part}
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
carlisle
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
@removefromreset
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
numberwithin
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Formula \begin{equation}
-A+B=C\end{equation}
+\begin_inset Formula
+\begin{equation}
+A+B=C
+\end{equation}
\end_inset
theequation}{
\backslash
arabic{equation}}
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Subsection
Numbering with Roman Numbers and Letters
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
renewcommand
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
roman{equation}
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
Roman
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
alph
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
Alph
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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
-\begin_inset Formula \begin{equation}
-B=\textrm{big Roman}\label{eq:Rom}\end{equation}
+\begin_inset Formula
+\begin{equation}
+B=\textrm{big Roman}\label{eq:Rom}
+\end{equation}
\end_inset
\end_inset
-\begin_inset Formula \begin{equation}
-C=\textrm{small Latin}\end{equation}
+\begin_inset Formula
+\begin{equation}
+C=\textrm{small Latin}
+\end{equation}
\end_inset
\end_inset
-\begin_inset Formula \begin{equation}
-D=\textrm{big Latin}\label{eq:Lat}\end{equation}
+\begin_inset Formula
+\begin{equation}
+D=\textrm{big Latin}\label{eq:Lat}
+\end{equation}
\end_inset
theequation}{
\backslash
arabic{equation}}
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Formula \begin{equation}
-E=\textrm{Arabic}\end{equation}
+\begin_inset Formula
+\begin{equation}
+E=\textrm{Arabic}
+\end{equation}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
.
The chemical equation for this is:
-\begin_inset Formula \begin{equation}
-\mathrm{2\, Na^{+}+SO_{4}^{2-}\longrightarrow Na_{2}SO_{4}}\label{eq:chem-reaction}\end{equation}
+\begin_inset Formula
+\begin{equation}
+\mathrm{2\, Na^{+}+SO_{4}^{2-}\longrightarrow Na_{2}SO_{4}}\label{eq:chem-reaction}
+\end{equation}
\end_inset
ce
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
mhchem
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
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{Si(OH)4} & \ce{->} & \ce{SiO2 + 2H2O}\label{eq:TEOS-reaction-2}
+\end{eqnarray}
\end_inset
cf
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
.
\end_layout
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
\begin_layout Section
Diagrams
\end_layout
\begin_layout Subsection
Amscd Diagrams
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
Diagrams of this type visualize relations by vertical and horizontal lines
or arrows:
-\begin_inset Formula \[
+\begin_inset Formula
+\[
\begin{CD}A@>>>B@>>>C\\
@AAA@.@VVV\\
-F@<<<E@<<<D\end{CD}\]
+F@<<<E@<<<D
+\end{CD}
+\]
\end_inset
\backslash
CD
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Standard
-\begin_inset Formula \[
+\begin_inset Formula
+\[
\begin{CD}A@>j>>B@>>k>C@=F\\
@AmAA@.@VV{V}V@|\\
-D@<<j<E@>k>>F@=C\end{CD}\]
+D@<<j<E@>k>>F@=C
+\end{CD}
+\]
\end_inset
\end_inset
-\begin_inset ERT
-status collapsed
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-
-\backslash
-hphantom{
-\end_layout
-
-\end_inset
-
+\series bold
\backslash
CD
\end_inset
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
\end_layout
\end_inset
\end_inset
-\begin_inset ERT
-status collapsed
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-
-\backslash
-hphantom{
-\end_layout
-
-\end_inset
-
+\series bold
\backslash
CD
\end_inset
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
\end_layout
\end_inset
\begin_layout Subsection
Xymatrix Diagrams
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
Feynman
\noun default
Diagrams
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Section
User-defined Commands
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset ERT
-status collapsed
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-
-\backslash
-phantom{
-\end_layout
-
-\end_inset
-
+\series bold
\backslash
newcommand
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
\end_layout
\end_inset
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_layout Subsection
Math Macros
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
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
-\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
-\begin_inset ERT
-status collapsed
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-
-\backslash
-hphantom{
-\end_layout
-
-\end_inset
-
+\series bold
\backslash
newcommand
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
\end_layout
\end_inset
\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
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="2">
-<features islongtable="true">
+<features islongtable="true" longtabularalignment="center">
<column alignment="left" valignment="top" width="0">
<column alignment="left" valignment="top" width="85col%">
<row interlinespace="2.5mm">
\begin_layout Plain Layout
\begin_inset Graphics
filename ../images/math-macro-remove-param.png
- BoundingBox 0bp 5bp 20bp 25bp
rotateOrigin center
\end_inset
\begin_layout Plain Layout
\begin_inset Graphics
filename ../images/math-macro-add-param.png
- BoundingBox 0bp 5bp 20bp 25bp
rotateOrigin center
\end_inset
\begin_layout Plain Layout
\begin_inset Graphics
filename ../images/math-macro-make-optional.png
- BoundingBox 0bp 5bp 20bp 25bp
rotateOrigin center
\end_inset
\end_inset
-\begin_inset ERT
-status collapsed
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-
-\backslash
-hphantom{
-\end_layout
-
-\end_inset
-
+\family sans
Edit\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Macro
Definition\SpecialChar \menuseparator
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
\end_layout
\end_inset
\begin_layout Plain Layout
\begin_inset Graphics
filename ../images/math-macro-make-nonoptional.png
- BoundingBox 0bp 5bp 20bp 25bp
rotateOrigin center
\end_inset
\end_inset
-\begin_inset ERT
-status collapsed
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-
-\backslash
-hphantom{
-\end_layout
-
-\end_inset
-
+\family sans
Edit\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Macro
Definition\SpecialChar \menuseparator
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
\end_layout
\end_inset
\begin_layout Plain Layout
\begin_inset Graphics
filename ../images/math-macro-remove-optional-param.png
- BoundingBox 0bp 5bp 20bp 25bp
- rotateOrigin center
-
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-
-\family sans
-Edit\SpecialChar \menuseparator
-Math\SpecialChar \menuseparator
-Macro
-\begin_inset space ~
-\end_inset
-
-Definition\SpecialChar \menuseparator
-Remove Optional Argument
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row interlinespace="2.5mm">
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Graphics
- filename ../images/math-macro-add-optional-param.png
- BoundingBox 0bp 5bp 20bp 25bp
- rotateOrigin center
-
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-
-\family sans
-Edit\SpecialChar \menuseparator
-Math\SpecialChar \menuseparator
-Macro
-\begin_inset space ~
-\end_inset
-
-Definition\SpecialChar \menuseparator
-Insert Optional Argument
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row interlinespace="2.5mm">
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Graphics
- filename ../images/math-macro-remove-greedy-param.png
- BoundingBox 0bp 5bp 20bp 25bp
rotateOrigin center
\end_inset
\end_inset
Definition\SpecialChar \menuseparator
-Remove Last Argument
-\begin_inset Newline newline
+Remove Optional Argument
+\end_layout
+
\end_inset
+</cell>
+</row>
+<row interlinespace="2.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+\begin_layout Plain Layout
+\begin_inset Graphics
+ filename ../images/math-macro-add-optional-param.png
+ rotateOrigin center
-\begin_inset ERT
-status collapsed
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
\begin_layout Plain Layout
+\family sans
+Edit\SpecialChar \menuseparator
+Math\SpecialChar \menuseparator
+Macro
+\begin_inset space ~
+\end_inset
+
+Definition\SpecialChar \menuseparator
+Insert Optional Argument
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row interlinespace="2.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Graphics
+ filename ../images/math-macro-remove-greedy-param.png
+ rotateOrigin center
+
+\end_inset
+
-\backslash
-hphantom{
\end_layout
\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\family sans
Edit\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Macro
\end_inset
Definition\SpecialChar \menuseparator
+Remove Last Argument
+\begin_inset Newline newline
+\end_inset
-\begin_inset ERT
-status collapsed
+
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-}
+\family sans
+Edit\SpecialChar \menuseparator
+Math\SpecialChar \menuseparator
+Macro
+\begin_inset space ~
+\end_inset
+
+Definition\SpecialChar \menuseparator
+
\end_layout
\end_inset
\begin_layout Plain Layout
\begin_inset Graphics
filename ../images/math-macro-append-greedy-param.png
- BoundingBox 0bp 5bp 20bp 25bp
rotateOrigin center
\end_inset
\end_inset
-\begin_inset ERT
-status collapsed
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-
-\backslash
-hphantom{
-\end_layout
-
-\end_inset
-
+\family sans
Edit\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Macro
Definition\SpecialChar \menuseparator
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
\end_layout
\end_inset
\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
\end_inset
-\begin_inset ERT
-status collapsed
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-
-\backslash
-hphantom{
-\end_layout
-
-\end_inset
-
+\family sans
Edit\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Macro
Definition\SpecialChar \menuseparator
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
\end_layout
\end_inset
\end_layout
+\begin_layout Section
+Computer Algebra Systems
+\end_layout
+
+\begin_layout Standard
+LyX offers the exchange between mathematical expressions written in LyX's
+ math editor and external applications or user defined scripts.
+ Currently supported applications are
+\family sans
+Maple
+\family default
+,
+\family sans
+Mathematica
+\family default
+,
+\family sans
+Maxima
+\family default
+ and
+\family sans
+Octave
+\family default
+.
+ Note that the set of supported mathematical constructs is limited only
+ to very simple cases.
+\end_layout
+
+\begin_layout Subsection
+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 Section
Tips
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Subsection
Negative Numbers
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="right" valignment="top" width="0">
<column alignment="left" valignment="top" width="0">
<row>
\begin_layout Subsection
Comma as decimal Separator
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
was
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
braket
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
Braket
\series default
assures that all vertical bars are set in the size of the surrounding brackets:
-\begin_inset Formula \[
-\Braket{\phi|J=\frac{3}{2}\,,\, M_{J}}\]
+\begin_inset Formula
+\[
+\Braket{\phi|J=\frac{3}{2}\,,\, M_{J}}
+\]
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
genfrac
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset ERT
-status collapsed
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-
-\backslash
-phantom{
-\end_layout
-
-\end_inset
-
+\series bold
\backslash
genfrac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
\end_layout
\end_inset
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_layout Standard
A test:
-\begin_inset Formula \begin{align*}
+\begin_inset Formula
+\begin{align*}
\text{Command} & & \mathrm{\backslash fracS[1mm]\backslash\{A\to\backslash\{B} & & \mathrm{\backslash fracS[5mm]\backslash\{A\to\backslash\{B}\\
-\text{Result} & & \fracS[1mm]{A}{B} & & \fracS[5mm]{A}{B}\end{align*}
+\text{Result} & & \fracS[1mm]{A}{B} & & \fracS[5mm]{A}{B}
+\end{align*}
\end_inset
\begin_layout Subsection
Canceled Formulas
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
cancel
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
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
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
hyperref
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
texorpdfstring{part}{alternative}
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset OptArg
+\begin_inset Argument
status collapsed
\begin_layout Plain Layout
\begin_layout Subsection
Formulas in multi-column Text
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Formula \begin{equation}
-S(t)=S_{0}(t)\int_{-\infty}^{\infty}P(\phi,t)\mathrm{e}^{\mathrm{i}\phi}\,\mathrm{d}\phi\end{equation}
+\begin_inset Formula
+\begin{equation}
+S(t)=S_{0}(t)\int_{-\infty}^{\infty}P(\phi,t)\mathrm{e}^{\mathrm{i}\phi}\,\mathrm{d}\phi
+\end{equation}
\end_inset
\begin_layout Subsection
Formulas with Description of Variables
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
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}\end{array} & & {}\label{eq:within}\end{flalign}
+g & \textrm{gravitational acceleration}
+\end{array} & & {}\label{eq:within}
+\end{flalign}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
was
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Section
\start_of_appendix
Typographic Advice
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\backslash
-{F
+F
\series default
-
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Commands ! M !
-\backslash
-mathscr
-\end_layout
-
-\end_inset
-
or via the menu
\family sans
Insert\SpecialChar \menuseparator
\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
-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
\begin_layout Section
Synonyms
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="12" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="12" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\end_layout
\begin_layout Bibliography
+\labelwidthstring References
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "TLC2"
\end_layout
\begin_layout Bibliography
+\labelwidthstring References
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "Mathmode"
\end_layout
\begin_layout Bibliography
+\labelwidthstring References
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "AMS"
\end_layout
\begin_layout Bibliography
+\labelwidthstring References
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "Symbols"
\end_layout
\begin_layout Bibliography
+\labelwidthstring References
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "hyperref"
hyperref
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Bibliography
+\labelwidthstring References
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "mhchem"
mhchem
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Bibliography
+\labelwidthstring References
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "Mathclap"
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Bibliography
+\labelwidthstring References
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "Duden"
\end_layout
\begin_layout Bibliography
+\labelwidthstring References
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "Checklist"
\begin_layout Standard
\begin_inset CommandInset index_print
LatexCommand printindex
+type "idx"
\end_inset
projects / lyx.git / blobdiff