-#LyX 1.6.5svn created this file. For more info see http://www.lyx.org/
-\lyxformat 345
+#LyX 2.1 created this file. For more info see http://www.lyx.org/
+\lyxformat 474
\begin_document
\begin_header
\textclass scrartcl
\renewcommand{\l@subsection}{\@dottedtocline{2}{1.5em}{2.8em}}
\renewcommand{\l@subsubsection}{\@dottedtocline{3}{4.3em}{3.6em}}
-% Damit die Zeichen ° und · in LyX direkt eingegeben werden können,
-% siehe Kap. 22.11
-\DeclareInputText{176}{\ifmmode^\circ\else\textdegree\fi}
-\DeclareInputText{183}{\ifmmode\cdot\else\textperiodcentered\fi}
-
% Linkfläche für Querverweise vergrößern und automatisch benennen,
\AtBeginDocument{\renewcommand{\ref}[1]{\mbox{\autoref{#1}}}}
-\newlength{\abc}
-\settowidth{\abc}{\space}
-\addto\extrasngerman{
- \renewcommand{\equationautorefname}{\hspace{-\abc}}
- \renewcommand{\sectionautorefname}{Kap.\negthinspace}
- \renewcommand{\subsectionautorefname}{Kap.\negthinspace}
- \renewcommand{\subsubsectionautorefname}{Kap.\negthinspace}}
+\addto\extrasngerman{%
+ \renewcommand*{\equationautorefname}[1]{}%
+ \renewcommand{\sectionautorefname}{Kap.\negthinspace}%
+ \renewcommand{\subsectionautorefname}{Kap.\negthinspace}%
+ \renewcommand{\subsubsectionautorefname}{Kap.\negthinspace}%
+}
% Makros damit Pakete nicht doppelt geladen werden.
% siehe erste Fußnote in Kap. 9.3
% provides caption formatting
\setkomafont{captionlabel}{\bfseries}
-% benutzt in Kap. 22.6
-\usepackage[samesize]{cancel}
-
-% enables calculation of values,
+% enables calculation of values
\usepackage{calc}
-% für Mehrfachzeilen und -spalten
-\usepackage{multirow}
+% für Mehrfachzeilen, benutzt in Kap. 24.7
\usepackage{multicol}
% benutzt in Kap. 19.4
% für das Fourier-Transformationssymbol
\usepackage{mathrsfs}
-%Mehrfachzeilen zentriert ausrichten (z.B. in Kap. 13.3)
-\renewcommand{\multirowsetup}{\centering}
-
% Farbdefinition aus Kap. 9.3
\definecolor{dunkelgruen}{cmyk}{0.5, 0, 1, 0.5}
\DeclareMathOperator*{\Raute}{\blacklozenge}
\DeclareMathOperator{\sgn}{sgn}
-\newcommand{\leer}{\textvisiblespace}
-
% Beispielbefehle aus Kap. 20.1
\newcommand{\gr}{\Longrightarrow}
\newcommand{\us}[1]{\underline{#1}}
% Beispielmakro aus Kap. 19.4
%\def\tagform@#1{\maketag@@@{|#1|}}
-% Makro aus Kap. 10.2
-\def\clap#1{\hbox to 0pt{\hss #1\hss}}
-\def\mathclap {\mathpalette \mathclapinternal}
-\def\mathclapinternal #1#2{\clap{$\mathsurround =0pt #1{#2}$}}
-
-% Grauschrift Notiz umdefinieren
-\renewenvironment{lyxgreyedout}
- {\textcolor{blue}\bgroup}{\egroup}
-
% Damit der Index einen anderen Namen erhält.
\addto\captionsngerman
{\renewcommand{\indexname}
{Stichwort- und Befehlsverzeichnis}}
+
% ------------------------------------
% used to check for needed LaTeX packages
\usepackage{ifthen}
+% testen ob das Paket undertilde installiert ist
+% wird benutzt für den Befehl \utilde
+\newboolean{undertilde}
+\IfFileExists{undertilde.sty}
+ {\usepackage{undertilde}
+ \setboolean{undertilde}{true}}
+ {\setboolean{undertilde}{false}}
+
% testen ob das Paket eurosym installiert ist
% wird benutzt für das Euro-Symbol
\newboolean{eurosym}
\setboolean{braket}{true}}
{\setboolean{braket}{false}}
+% testen ob Paket cancel installiert ist
+\newboolean{cancel}
+\IfFileExists{cancel.sty}
+ {\usepackage{cancel}
+ \setboolean{cancel}{true}}
+ {\setboolean{cancel}{false}}
+
% testen ob Paket upgreek installiert ist
\newboolean{upgreek}
\IfFileExists{upgreek.sty}
\setboolean{upgreek}{true}}
{\setboolean{upgreek}{false}}
-% testen ob Paket mhchem installiert ist
-% benötigt für chemische Formeln
-\newboolean{mhchem}
-\IfFileExists{mhchem.sty}
- {\usepackage{mhchem}
- \setboolean{mhchem}{true}}
- {\setboolean{mhchem}{false}}
-
% benötigt für Kommas in Formeln, siehe Kap. 22.3
\IfFileExists{icomma.sty}
{\usepackage{icomma}}{}
\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 ngerman
+\language_package default
\inputencoding auto
+\fontencoding global
\font_roman default
\font_sans default
\font_typewriter default
+\font_math auto
\font_default_family default
+\use_non_tex_fonts false
\font_sc false
\font_osf false
\font_sf_scale 100
\font_tt_scale 100
-
\graphics default
+\default_output_format default
+\output_sync 0
+\bibtex_command default
+\index_command default
\paperfontsize 12
\spacing single
\use_hyperref true
\pdf_colorlinks true
\pdf_backref false
\pdf_pdfusetitle false
-\pdf_quoted_options "linkcolor=black, citecolor=black, urlcolor=blue, filecolor=blue, pdfpagelayout=OneColumn, pdfnewwindow=true, pdfstartview=XYZ, plainpages=false, pdfpagelabels"
+\pdf_quoted_options "linkcolor=black, citecolor=black, urlcolor=blue, filecolor=blue, pdfpagelayout=OneColumn, pdfnewwindow=true, pdfstartview=XYZ, plainpages=false"
\papersize a4paper
\use_geometry false
-\use_amsmath 2
-\use_esint 1
+\use_package amsmath 2
+\use_package amssymb 2
+\use_package cancel 0
+\use_package esint 1
+\use_package mathdots 1
+\use_package mathtools 1
+\use_package mhchem 1
+\use_package stackrel 0
+\use_package stmaryrd 0
+\use_package undertilde 0
\cite_engine basic
+\cite_engine_type default
+\biblio_style plain
\use_bibtopic false
+\use_indices false
\paperorientation portrait
+\suppress_date false
+\justification true
+\use_refstyle 0
+\notefontcolor #0000ff
+\index Stichwortverzeichnis
+\shortcut idx
+\color #008000
+\end_index
\secnumdepth 4
\tocdepth 3
\paragraph_separation skip
\bullet 3 2 7 -1
\tracking_changes false
\output_changes false
-\author ""
-\author ""
+\html_math_output 0
+\html_css_as_file 0
+\html_be_strict false
\end_header
\begin_body
\family sans
-Version 1.6.x
+Version 2.1.x
\end_layout
\begin_layout Standard
status open
\begin_layout Plain Layout
-Um diese Datei als PDF, PS oder DVI zu exportieren, müssen die LaTeX-Pakete
-
-\series bold
-eurosym,
-\series default
+Um diese Datei als PDF, PS oder DVI zu exportieren, sollten die LaTeX-Pakete
\series bold
-multirow,
+braket, cancel, eurosym, mathdots, mathtools, mhchem, undertilde
\series default
und
\series bold
was
\series default
installiert sein.
- Wenn sie nicht installiert sind, kann das Dokument trotzdem exportiert
- werden, die Abschnitte in denen die Pakete benötigt werden, erscheinen
- dann aber nicht im Ausdruck.
+ Wenn diese nicht installiert sind, kann das Dokument zwar exportiert werden,
+ die Abschnitte in denen die Pakete benötigt werden, erscheinen dann aber
+ nicht im Ausdruck.
+ Eine Ausnahme ist
+\series bold
+mhchem
+\series default
+; wenn es nicht installiert ist, kann dieses Dokument nicht exportiert werden.
+\end_layout
+
+\begin_layout Plain Layout
+Die neueste PDF-Version dieses Dokuments ist hier zu finden:
+\begin_inset Newline newline
+\end_inset
+
+
+\series bold
+http://wiki.lyx.org/LyX/DocumentationDevelopment#Math
\end_layout
\end_inset
\begin_inset CommandInset href
LatexCommand href
name "amsguide.ps"
-target "ftp://ctan.tug.org/tex-archive/macros/amstex/doc/amsguide.ps"
+target "ftp://ftp.ams.org/pub/tex/doc/amstex/amsguide.pdf"
\end_inset
\begin_layout Standard
Um eine in einer Textzeile eingebettete Formel
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
Strg+M
\family default
oder den Werkzeugleistenknopf
-\begin_inset Graphics
- filename ../../images/math-mode.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-mode"
\end_inset
.
\end_inset
Um eine abgesetzte Formel
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
displaystyle
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
ein.
Es erscheint ein neues blaues Kästchen, in das dann der Formelteil eingegeben
wird.
\begin_layout Standard
In den TeX-Modus
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
gelangt man über den Werkzeugleistenknopf
-\begin_inset Graphics
- filename ../../images/ert-insert.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "ert-insert"
\end_inset
oder das Menü
\end_inset
, die im Ausdruck mit hoch bzw.
- tief gestellten Großbuchstaben erscheinen: TeX, LaTeX und LyX
+\begin_inset space \space{}
+\end_inset
+
+tief gestellten Großbuchstaben erscheinen: TeX, LaTeX und LyX
\end_layout
\begin_layout Plain Layout
\begin_layout Standard
In den LaTeX-Vorspann
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
verwenden.
Beim Vertauschen von Zeilen und Spalten mit Hilfe dieses Menüs wird immer
die Spalte bzw.
- Zeile, in der der Cursor steht, mit der rechts daneben stehenden Spalte
+\begin_inset space \space{}
+\end_inset
+
+Zeile, in der der Cursor steht, mit der rechts daneben stehenden Spalte
bzw.
- darunter liegenden Zeile vertauscht.
+\begin_inset space \space{}
+\end_inset
+
+darunter liegenden Zeile vertauscht.
Befindet sich der Cursor in der letzten Spalte bzw.
- Zeile, wird mit der links daneben stehenden Spalte bzw.
- darüber liegenden Zeile vertauscht.
+\begin_inset space \space{}
+\end_inset
+
+Zeile, wird mit der links daneben stehenden Spalte bzw.
+\begin_inset space \space{}
+\end_inset
+
+darüber liegenden Zeile vertauscht.
\end_layout
\begin_layout Standard
mathematischen Textmodus
\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
\backslash
text
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
Möchte man ein optionales Argument nicht angeben, müssen auch die zugehörigen
eckigen Klammern weggelassen werden.
Die geschweiften Klammern werden in diesem Dokument als TeX-Klammern
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Itemize
-Das Symbol
-\begin_inset Foot
-status collapsed
-
-\begin_layout Plain Layout
-Dieses sichtbare Leerzeichen erhält man über den Befehl
-\series bold
-
-\backslash
-textvisiblespace
-\series default
-
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Befehle ! T !
-\backslash
-textvisiblespace
-\end_layout
-
+Das Symbol
+\begin_inset space \textvisiblespace{}
\end_inset
-, der im TeX-Modus einzugeben ist.
+ steht für ein einzugebendes Leerzeichen.
\end_layout
+\begin_layout Itemize
+Ein Pfeil wie z.
+\begin_inset space \thinspace{}
\end_inset
+B.
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset Formula $\to$
\end_inset
-
-\begin_inset space ~
+ steht für den Druck der jeweiligen Pfeiltaste auf der Tastatur.
+ Die
+\family sans
+Tabulator
+\family default
+-Taste kann oft anstelle von
+\begin_inset Formula $\to$
\end_inset
-steht für ein einzugebendes Leerzeichen.
-\end_layout
+ und
+\begin_inset Formula $\downarrow$
+\end_inset
-\begin_layout Itemize
-Ein Pfeil wie z.
-\begin_inset space \thinspace{}
+ benutzt werden und
+\family sans
+Umschalt+Tabulator
+\family default
+ anstelle von
+\begin_inset Formula $\leftarrow$
\end_inset
-B.
-
-\begin_inset Formula $\to$
+ und
+\begin_inset Formula $\uparrow$
\end_inset
- steht für den Druck der jeweiligen Pfeiltaste auf der Tastatur.
+.
\end_layout
\begin_layout Subsection*
\begin_layout Plain Layout
\align center
-\begin_inset Caption
+\begin_inset Caption Standard
\begin_layout Plain Layout
\begin_inset CommandInset label
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_inset Text
\begin_layout Plain Layout
-scaled point (65536
+skalierter Punkt(65536
\begin_inset space \thinspace{}
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-big point (72
+großer Punkt (72
\begin_inset space \thinspace{}
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-math unit (1
+Mathe-Einheit (1
\begin_inset space \thinspace{}
\end_inset
\begin_layout Subsection
Exponenten
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
und Indizes
-\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
Indizes werden mit dem Unterstrich _ oder mit dem Mathe-Werkzeugleistenknopf
-\begin_inset Graphics
- filename ../../images/math-subscript.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-subscript"
\end_inset
, Exponenten mit dem Zirkumflexzeichen ^ oder mit dem Mathe-Werkzeugleistenknopf
-\begin_inset Graphics
- filename ../../images/math-superscript.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-superscript"
\end_inset
erzeugt.
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Plain Layout
B^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
frac
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
oder mit dem Mathe-Werkzeugleistenknopf
-\begin_inset Graphics
- filename ../../images/math/frac.png
- scale 50
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\frac"
\end_inset
erstellt.
Die Zeichengröße wird automatisch angepasst, je nachdem, ob sich der Bruch
in einer eingebetteten oder abgesetzten Formel befindet.
Mit dem Mathe-Werkzeugleistenknopf
-\begin_inset Graphics
- filename ../../images/math/frac-square.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\frac-square"
\end_inset
können verschieden Bruchtypen gewählt werden.
\backslash
dfrac
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
kann man einen Bruch erzeugen, der immer in der Größe einer abgesetzten
Formel erscheint.
Mit
\backslash
tfrac
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
erscheint der Bruch immer in der Größe einer eingebetteten Formel.
Ein Beispiel:
\end_layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
dfrac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
dfrac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
e^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
-\end_inset
-
-
\backslash
frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
1
cfrac
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Standard
-\begin_inset Formula \begin{align*}
+\begin_inset Formula
+\begin{align*}
\textrm{mit \textbf{\textbackslash frac} erstellt} & & \textrm{mit \textbf{\textbackslash cfrac} erstellt}\\
-\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
\backslash
cfrac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
B+
\backslash
cfrac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
C+
\backslash
cfrac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
E
\begin_layout Standard
\series bold
-\begin_inset Formula $\cfrac[l]{A}{B+C}$
-\end_inset
+\begin_inset Formula
+\[
+\cfrac[l]{A}{B+C}\,,\,\cfrac{A}{B+C}\,,\,\cfrac[r]{A}{B+C}
+\]
-,
-\begin_inset Formula $\cfrac{A}{B+C}$
-\end_inset
-
-,
-\begin_inset Formula $\cfrac[r]{A}{B+C}$
\end_inset
frac
\series default
zu kombinieren:
-\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
erklärt.
\end_layout
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
\begin_layout Subsection
Wurzeln
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
sqrt
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
oder dem Mathe-Werkzeugleistenknopf
-\begin_inset Graphics
- filename ../../images/math/sqrt.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\sqrt"
\end_inset
gesetzt, alle anderen Wurzeln mit dem Befehl
root
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
oder dem Mathe-Werkzeugleistenknopf
-\begin_inset Graphics
- filename ../../images/math/root.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\root"
\end_inset
.
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
sqrt
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A-B
\backslash
root
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
3
leftroot
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
uproot
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
leftroot{Abstand}
\series default
bzw.
-
+\begin_inset space \space{}
+\end_inset
+
+
\series bold
\backslash
\end_inset
), um die der Index nach links bzw.
- nach oben verschoben werden soll.
+\begin_inset space \space{}
+\end_inset
+
+nach oben verschoben werden soll.
Die Befehle werden in den Index geschrieben.
So ergibt der Befehl
\begin_inset Newline newline
\backslash
beta
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\begin_layout Subsection
Binomialkoeffizienten
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
binom
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
oder über das Untermenü des Mathe-Werkzeugleistenknopfs
-\begin_inset Graphics
- filename ../../images/math/frac-square.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\frac-square"
\end_inset
-eingefügt werden.
+ eingefügt werden.
Analog zu Brüchen (
\series bold
\backslash
dbinom
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
und
\series bold
tbinom
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
brace
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
brack
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
binom
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
dbinom
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
tbinom
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
brack
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
brace
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\begin_layout Subsection
Fallunterscheidungen
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
cases
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\end_inset
B>0
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
cases
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
Strg+Enter
\begin_layout Plain Layout
\begin_inset Formula $\begin{cases}
A & \textrm{für }x>0\\
-B & \textrm{für }x=0\end{cases}$
+B & \textrm{für }x=0
+\end{cases}$
\end_inset
cases
\series default
oder der Benutzung des Mathe-Werkzeugleistenknopfs
-\begin_inset Graphics
- filename ../../images/math/cases.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\cases"
\end_inset
können mit
Strg+Enter
\family default
oder dem Tabellen-Werkzeugleistenknopf
-\begin_inset Graphics
- filename ../../images/tabular-feature_append-row.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "inset-modify tabular append-row"
\end_inset
neue Zeilen erstellt werden.
\begin_layout Subsection
Verneinungen
-\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 rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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 rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
phantom
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Plain Layout
zu finden im Untermenü des Mathe-Werkzeugleistenknopfs
-\begin_inset Graphics
- filename ../../images/math/space.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\space"
\end_inset
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
^19
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
_
\backslash
phantom
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
1
\end_inset
9
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
F
\begin_layout Plain Layout
^235
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
_
\backslash
phantom
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
23
\end_inset
9
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
F
\backslash
Lambda^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
phantom
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
ii
\end_inset
t
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
_MMt
vphantom
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
hphantom
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
vphantom
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
zu finden.
\end_layout
+\begin_layout Standard
+Platzhalter können auch für Text verwendet werden, wenn sie über das Menü
+
+\family sans
+Einfügen\SpecialChar \menuseparator
+Formatierung\SpecialChar \menuseparator
+Phantom
+\family default
+ eingefügt werden:
+\end_layout
+
+\begin_layout Standard
+Dies ist ein Satz.
+\begin_inset Newline newline
+\end_inset
+
+
+\begin_inset Phantom Phantom
+status open
+
+\begin_layout Plain Layout
+Dies
+\end_layout
+
+\end_inset
+
+ ist ein Satz.
+\end_layout
+
\begin_layout Subsection
Linien
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
overline
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A+B
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
underline
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A+B
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
overline
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
underline
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A+B
rule
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
rule
\series default
- kann auch für Text verwendet werden, wenn er als TeX-Code eingegeben wird.
+ kann auch für Text verwendet werden, wenn eine Linie über das Menü
+\family sans
+Einfügen\SpecialChar \menuseparator
+Formatierung\SpecialChar \menuseparator
+Horizontale
+\begin_inset space ~
+\end_inset
+
+Line
+\family default
+ eingefügt wird:
+\end_layout
+
+\begin_layout Standard
+Dies ist ein Satz
+\begin_inset CommandInset line
+LatexCommand rule
+offset "0.5ex"
+width "3cm"
+height "1pt"
+
+\end_inset
+
+ mit einer Linie.
\end_layout
\begin_layout Subsection
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Plain Layout
In der Mathe-Werkzeugleiste zu finden im Untermenü des Knopfs
-\begin_inset Graphics
- filename ../../images/math/ldots.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\ldots"
\end_inset
ldots
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
cdots
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
dots
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
\align center
\begin_inset Tabular
-<lyxtabular version="3" rows="8" columns="2">
-<features>
+<lyxtabular version="3" rows="9" columns="2">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Plain Layout
A_1
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
,
\backslash
dots
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
,A_n
\begin_layout Plain Layout
A_1
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
+
\backslash
dots
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
+A_n
\begin_layout Plain Layout
A_1
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
,
\backslash
ldots
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
,A_n
\begin_layout Plain Layout
A_1
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
+
\backslash
cdots
-\begin_inset ERT
-status collapsed
+\begin_inset space \textvisiblespace{}
+\end_inset
+
++A_n
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
\begin_layout Plain Layout
+\begin_inset Formula $A_{1}+\cdots+A_{n}$
+\end_inset
-\backslash
-leer
\end_layout
\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
-+A_n
+\begin_layout Plain Layout
+
+\backslash
+vdots
\end_layout
\end_inset
</cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A_{1}+\cdots+A_{n}$
+\begin_inset Formula $\vdots$
\end_inset
\begin_layout Plain Layout
\backslash
-vdots
+ddots
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\vdots$
+\begin_inset Formula $\ddots$
\end_inset
\begin_layout Plain Layout
\backslash
-ddots
+iddots
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\ddots$
+\begin_inset Formula $\iddots$
\end_inset
\begin_inset Formula $\begin{array}{ccc}
A_{11} & \cdots & A_{1m}\\
\vdots & \ddots & \vdots\\
-A_{n1} & \cdots & A_{nm}\end{array}$
+A_{n1} & \cdots & A_{nm}
+\end{array}$
\end_inset
\begin_inset VSpace medskip
\end_inset
+Um
+\series bold
+
+\backslash
+iddots
+\series default
+ nutzen zu können, muss eine der Optionen
+\family sans
+Mathdots Paket (automatisch) verwenden
+\family default
+in den Dokumenteinstellungen unter
+\family sans
+Mathe-Optionen
+\family default
+ gewählt sein.
+\begin_inset Newline newline
+\end_inset
+
+Die Option
+\family sans
+Mathdots Paket verwenden
+\family default
+ verbessert das Aussehen aller Fortsetzungspunkte des Dokuments wenn deren
+ Schriftstil oder die Schriftgröße nicht Standard sind.
+\end_layout
+
+\begin_layout Standard
+\begin_inset VSpace medskip
+\end_inset
+
Speziell für Matrizen gibt es Fortsetzungspunkte, die sich über mehrere
Spalten erstrecken.
Man erhält sie mit dem Befehl
hdotsfor
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
dots
\series default
zu erhalten:
-\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
A
\backslash
dotfill
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
B
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
\family default
-\begin_inset Graphics
- filename ../../images/dialog-show_mathmatrix.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "dialog-show mathmatrix"
\end_inset
oder das Menü
Matrix
\family default
eingefügt werden.
- Sie werden nach der Spalten- und Zeilenanzahl und der Ausrichtung gefragt.
+ Sie werden nach der Spalten- und Zeilenanzahl, der Ausrichtung und der
+ Verzierung gefragt.
Die vertikale Ausrichtung ist dabei nur bei Matrizen in eingebetteten Formeln
von Bedeutung:
\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
, die zweite mittig
\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
und die dritte unten
\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
ausgerichtet.
\begin_inset Formula $\begin{array}{lll}
10000 & D & G\\
B & 10000 & H\\
-C & F & 10000\end{array}$
+C & F & 10000
+\end{array}$
\end_inset
,
\begin_inset Formula $\begin{array}{ccc}
10000 & D & G\\
B & 10000 & H\\
-C & F & 10000\end{array}$
+C & F & 10000
+\end{array}$
\end_inset
,
\begin_inset Formula $\begin{array}{rrr}
10000 & D & G\\
B & 10000 & H\\
-C & F & 10000\end{array}$
+C & F & 10000
+\end{array}$
\end_inset
\begin_layout Standard
Um nachträglich Zeilen und Spalten hinzuzufügen oder zu entfernen, kann
man die Mathe-Werkzeugleistenknöpfe
-\begin_inset Graphics
- filename ../../images/tabular-feature_append-row.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "inset-modify tabular append-row"
\end_inset
,
-\begin_inset Graphics
- filename ../../images/tabular-feature_delete-row.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "inset-modify tabular delete-row"
\end_inset
, usw.
\begin_inset VSpace bigskip
\end_inset
-Klammern um eine Matrix können entweder mit den Befehlen
+Die
+\family sans
+Verzierung
+\family default
+ fügt Klammern um die Matrix in der ausgewählten Art hinzu.
+ Alternativ können Klammern entweder mit den Befehlen
\series bold
\backslash
left
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
right
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\backslash
bmatrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
2
\begin_layout Plain Layout
\begin_inset Formula $\raisebox{7.5mm}{}\begin{bmatrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{bmatrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{bmatrix}\raisebox{-5.3mm}{}$
\end_inset
\backslash
Bmatrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
2
\begin_layout Plain Layout
\begin_inset Formula $\raisebox{7.5mm}{}\begin{Bmatrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{Bmatrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{Bmatrix}\raisebox{-5.3mm}{}$
\end_inset
\backslash
pmatrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
2
\begin_layout Plain Layout
\begin_inset Formula $\raisebox{7.5mm}{}\begin{pmatrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{pmatrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{pmatrix}\raisebox{-5.3mm}{}$
\end_inset
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\backslash
vmatrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
2
\begin_layout Plain Layout
\begin_inset Formula $\raisebox{7.5mm}{}\begin{vmatrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{vmatrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{vmatrix}\raisebox{-5.3mm}{}$
\end_inset
\backslash
Vmatrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
2
\begin_layout Plain Layout
\begin_inset Formula $\raisebox{7.5mm}{}\begin{Vmatrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{Vmatrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{Vmatrix}\raisebox{-5.3mm}{}$
\end_inset
\backslash
matrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
2
\begin_layout Plain Layout
\begin_inset Formula $\raisebox{7.5mm}{}\begin{matrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{matrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{matrix}\raisebox{-5.3mm}{}$
\end_inset
\series default
eingegeben, erscheint ein blaues Kästchen zwischen zwei senkrechten Strichen,
in das die Matrix eingefügt wird.
+\begin_inset Newline newline
+\end_inset
+
+Man beachte, dass verzierte Matrizen die vertikale Ausrichtung ignorieren.
\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}{Dehnungsfaktor}
-\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
Dies ist eine Matrix
\begin_inset Formula $\left(\begin{smallmatrix}A & B\\
-C & D\end{smallmatrix}\right)$
+C & D
+\end{smallmatrix}\right)$
\end_inset
in einer Textzeile.
\end_layout
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
\begin_layout Section
Klammern und Begrenzungszeichen
-\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
Vertikale Klammern und Begrenzungszeichen
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
textbackslash
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\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 rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
Big((A+B)(A-B)
\backslash
Big)^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
C
ln(3x)
\backslash
big}^2
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
sin(x)
\backslash
Big]^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
bigm
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
bigr
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
-<column alignment="center" valignment="middle" width="0">
-<column alignment="center" valignment="middle" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="middle">
+<column alignment="center" valignment="middle">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
ln(3x)
\backslash
bigm)^2
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
ln(3x)
\backslash
big)^2
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
ln(3x)
\backslash
bigr)^2
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\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
\family default
-\begin_inset Graphics
- filename ../../images/dialog-show_mathdelimiter.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "dialog-show mathdelimiter"
\end_inset
eingefügt werden.
ln(
\backslash
frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\end_inset
C
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
)
\series default
ergibt
-\begin_inset Formula \[
-\ln(\frac{A}{C})\]
+\begin_inset Formula
+\[
+\ln(\frac{A}{C})
+\]
\end_inset
left(
\backslash
frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\end_inset
C
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
right)
\series default
ergibt
-\begin_inset Formula \[
-\ln\left(\frac{A}{C}\right)\]
+\begin_inset Formula
+\[
+\ln\left(\frac{A}{C}\right)
+\]
\end_inset
(
\backslash
frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
left.
\backslash
frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\end_inset
B
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
:
\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
B.
für physikalische Vektoren von Nutzen ist:
-\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
Horizontale Klammern
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
overbrace
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A+B
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
3
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
underbrace
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A+B
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
_5
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
overbrace
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
underbrace
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A+B_w
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
_7
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
C
\end_inset
beschriebenen mehrzeiligen Formeln verwenden:
-\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
Pfeile
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
Pfeile können über den Mathe-Werkzeugleistenknopf
-\begin_inset Graphics
- filename ../../images/math/leftarrow.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\leftarrow"
\end_inset
oder mit den Befehlen eingefügt werden, die in den folgenden Unterkapiteln
\begin_layout Subsection
Horizontale Pfeile
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset VSpace medskip
\end_inset
-Als Akzent verwendete Pfeile, wie z.
+Als Akzente verwendete Pfeile, wie z.
\begin_inset space \thinspace{}
\end_inset
\end_inset
Des Weiteren gibt es die beschriftbaren Pfeile
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
xleftarrow
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
xrightarrow
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
F(a)
\backslash
xleftarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
x=a
F(x)
\backslash
xrightarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
x=a
\begin_layout Subsection
Vertikale und diagonale Pfeile
-\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 rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
Akzente können über den Mathe-Werkzeugleistenknopf
-\begin_inset Graphics
- filename ../../images/math/hat.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\hat"
\end_inset
oder mit den Befehlen eingefügt werden, die in den folgenden Unterkapiteln
\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 rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
dot
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
ddot
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
dddot
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\begin_layout Plain Layout
\backslash
-ddddot{A
+ddddot
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A
\end_layout
\end_inset
\backslash
vec
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
bar
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
mathring
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\begin_inset Tabular
<lyxtabular version="3" rows="7" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
tilde
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
hat
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
check
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
acute
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
grave
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
breve
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
é können direkt in Formeln eingegeben werden.
LyX transformiert sie dann in den entsprechenden Akzentbefehl.
Für Umlaute
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\backslash
ddot
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
i
direkt eingegeben werden.
\end_layout
-\begin_layout Subsection
-Akzente für Operatoren
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Akzente ! für Operatoren
-\end_layout
-
+\begin_layout Standard
+\begin_inset VSpace bigskip
\end_inset
\end_layout
\begin_layout Standard
-Zum Akzentuieren von Operatoren gibt es die Befehle
+LyX unterstützt auch eine Tilde unter einem Zeichen, wenn das LaTeX-Paket
+
\series bold
-
-\backslash
-overset
+undertilde
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
-Befehle ! O !
-\backslash
-overset
+Pakete ! undertilde
\end_layout
\end_inset
- und
-\series bold
-
-\backslash
-underset
-\series default
+ auf Ihrem System installiert ist:
+\end_layout
-\begin_inset Index
+\begin_layout Standard
+\begin_inset ERT
status collapsed
\begin_layout Plain Layout
-Befehle ! U !
+
+
\backslash
-underset
+ifundertilde
\end_layout
\end_inset
-, mit denen man Zeichen über bzw.
- unter einen Operator setzen kann.
- Mit dem Befehl
-\series bold
-
-\backslash
-sideset
-\series default
-\begin_inset Index
-status collapsed
+\begin_inset Note Note
+status open
\begin_layout Plain Layout
-Befehle ! S !
-\backslash
-sideset
+Die folgende Tabelle erscheint nur im Ausdruck wenn das LaTeX-Paket
+\series bold
+undertilde
+\series default
+ installiert ist:
\end_layout
\end_inset
- können Zeichen vor und nach einen Operator gesetzt werden.
- Das Befehlsschema lautet:
-\end_layout
-\begin_layout Standard
-
-\series bold
-
-\backslash
-sideset{Zeichen
-\series default
-
-\series bold
-davor}{Zeichen
-\series default
-
-\series bold
-dahinter}
\end_layout
\begin_layout Standard
+\noindent
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="2" columns="2">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
-\series bold
-
-\backslash
-sideset
-\series default
- muss immer vor dem zu akzentuierenden Operator stehen.
- Es kann auch mit mehreren Zeichen und sogar mit anderen Operatoren und
- Symbolen akzentuiert werden.
- Will man mit
-\series bold
+\begin_layout Plain Layout
+Befehl
+\end_layout
-\backslash
-sideset
-\series default
- z.
-\begin_inset space \thinspace{}
\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
-B.
- nur Zeichen hinter einen Operator setzen, schreibt man nichts zwischen
- die ersten geschweiften Klammern, lässt die Klammern aber nicht weg.
+\begin_layout Plain Layout
+Ergebnis
\end_layout
-\begin_layout Standard
-Z.
-\begin_inset space \thinspace{}
\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
-B.
- ergibt der Befehl
-\series bold
+\begin_layout Plain Layout
\backslash
-sideset{
-\begin_inset Formula $\to$
+utilde
+\begin_inset space \textvisiblespace{}
\end_inset
+A
+\end_layout
-\backslash
-{
-\series default
-'
-\series bold
-
-\begin_inset Formula $\to$
\end_inset
-
-
-\backslash
-sum_k=1
-\begin_inset ERT
-status collapsed
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
\begin_layout Plain Layout
+\begin_inset Formula $\raisebox{5mm}{}\utilde{A}$
+\end_inset
-\backslash
-leer
\end_layout
\end_inset
-
-
-\series default
-^
-\series bold
-n
-\series default
- :
-\begin_inset Formula \[
-\sideset{}{'}\sum_{k=1}^{n}\]
+</cell>
+</row>
+</lyxtabular>
\end_inset
\end_layout
\begin_layout Standard
-Der Befehl
-\series bold
-
-\backslash
-overset
\begin_inset ERT
status collapsed
\backslash
-leer
+else
\end_layout
\end_inset
-\backslash
-maltese
-\begin_inset ERT
-status collapsed
+\begin_inset Note Note
+status open
\begin_layout Plain Layout
-
-
-\backslash
-leer
+Folgendes erscheint im Ausdruck wenn das LaTeX-Paket
+\series bold
+undertilde
+\series default
+ nicht installiert ist:
\end_layout
\end_inset
-\series default
-
-\begin_inset Formula $\uparrow$
-\end_inset
-
+\end_layout
+\begin_layout Standard
+Das LaTeX-Paket
\series bold
-a
+undertilde
\series default
- ergibt:
-\begin_inset Formula \[
-\overset{a}{\maltese}\]
+muss installiert sein, um den Rest dieses Abschnitts im Ausdruck zu sehen.
+\end_layout
-\end_inset
+\begin_layout Standard
+\begin_inset ERT
+status collapsed
-Wie man am letzten Beispiel sieht, kann man mit
-\series bold
+\begin_layout Plain Layout
-\backslash
-overset
-\series default
- bzw.
-
-\series bold
\backslash
-underset
-\series default
- außer Operatoren auch Symbole und Zeichen akzentuieren; mit
-\series bold
+fi
+\end_layout
+
+\end_inset
+
-\backslash
-sideset
-\series default
- ist dies nicht möglich.
\end_layout
\begin_layout Subsection
Akzente für mehrere Zeichen
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
overleftarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\backslash
underleftarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\backslash
overleftrightarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\backslash
underleftrightarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
overrightarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\backslash
underrightarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\backslash
widetilde
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\backslash
widehat
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\series default
werden aber im Ausdruck nur mit einer Länge von etwa drei Zeichen gesetzt,
was folgendes Beispiel verdeutlicht:
-\begin_inset Formula \[
-\widetilde{A+B=C-D}\]
+\begin_inset Formula
+\[
+\widetilde{A+B=C-D}
+\]
\end_inset
overset
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
underset
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
underset
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
***
\series default
ergibt:
-\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
\color blue
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
und man kann durch mehrfaches Drücken der Leertaste aus acht verschiedenen
Leerraum-Größen wählen.
Man kann die Leerräume auch über den Mathe-Werkzeugleistenknopf
-\begin_inset Graphics
- filename ../../images/math/space.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\space"
\end_inset
oder mit einzelnen Befehlen aufrufen.
\begin_layout Standard
\align center
-\begin_inset VSpace -5mm
-\end_inset
-
-
\begin_inset Tabular
-<lyxtabular version="3" rows="3" columns="7">
-<features>
-<column alignment="center" valignment="middle" width="6.8cm">
-<column alignment="center" valignment="top" width="0pt">
-<column alignment="center" valignment="top" width="0pt">
-<column alignment="center" valignment="top" width="0pt">
-<column alignment="center" valignment="top" width="0pt">
-<column alignment="center" valignment="top" width="0pt">
-<column alignment="center" valignment="top" width="0pt">
+<lyxtabular version="3" rows="6" columns="3">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top" width="15col%">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
+\begin_layout Plain Layout
+Anzahl der Leertastendrücke
+\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
+Ergebnis
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
\begin_layout Plain Layout
\backslash
\end_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
+0
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $A\, B$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\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
+1
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $A\: B$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\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
+2
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $A\; B$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\end_inset
</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+3
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $A\quad B$
+\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
qquad
\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
+4
+\end_layout
+
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
+\begin_inset Formula $A\qquad B$
+\end_inset
+
-\backslash
-!
\end_layout
\end_inset
</cell>
</row>
+</lyxtabular>
+
+\end_inset
+
+
+\begin_inset space \hfill{}
+\end_inset
+
+
+\begin_inset Tabular
+<lyxtabular version="3" rows="6" columns="3">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top" width="15col%">
+<column alignment="center" valignment="top">
<row>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none" width="7cm">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-Anzahl der Leertastendrücke nach Eingabe des geschützten Leerzeichens
+Befehl
\end_layout
\end_inset
</cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-0
+Anzahl der Leertastendrücke
\end_layout
\end_inset
</cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-1
+Ergebnis
\end_layout
\end_inset
</cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-2
+
+\backslash
+hfill
\end_layout
\end_inset
</cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-3
+5
\end_layout
\end_inset
</cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-4
+\begin_inset Formula $A\hfill B$
+\end_inset
+
+
\end_layout
\end_inset
</cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-5
+
+\backslash
+hspace*{1em}
\end_layout
\end_inset
</cell>
-</row>
-<row>
-<cell multicolumn="1" alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-Ergebnis
+6
\end_layout
\end_inset
</cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A\, B$
+\begin_inset Formula $A\hspace*{1em}B$
\end_inset
\end_inset
</cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A\: B$
-\end_inset
+\backslash
+hspace{1em}
+\end_layout
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+7
\end_layout
\end_inset
</cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A\; B$
+\begin_inset Formula $A\hspace{1em}B$
\end_inset
\end_inset
</cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A\quad B$
+
+\backslash
+
+\begin_inset space \textvisiblespace{}
\end_inset
\end_inset
</cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A\qquad B$
+8
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $A\ B$
\end_inset
\end_inset
</cell>
-<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+!
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+9
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\end_layout
\begin_layout Standard
-Die letzte Größe scheint überhaupt keinen Leerraum zu produzieren.
- In LyX ist diese allerdings auch im Gegensatz zu allen anderen rot eingefärbt,
- denn sie erstellt negativen Leerraum.
+Leerraum
+\begin_inset space ~
+\end_inset
+
+5
+\begin_inset space \thinspace{}
+\end_inset
+
+--
+\begin_inset space \thinspace{}
+\end_inset
+
+7 sind variable Leerräume, die in
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sub:Variabler-Leerraum"
+
+\end_inset
+
+ erläutert sind.
+ Leerraum
+\begin_inset space ~
+\end_inset
+
+9 scheint überhaupt keinen Leerraum zu produzieren.
+ Er ist in LyX allerdings auch im Gegensatz zu allen anderen rot eingefärbt,
+ denn er erstellt negativen Leerraum.
Es gibt noch zwei weitere negative Leerräume:
\end_layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="3">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="middle" width="6.8cm">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\begin_inset Text
\begin_layout Plain Layout
-6
+10
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-7
+11
\end_layout
\end_inset
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
sum
\backslash
sum
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
f_kl
negmedspace
\backslash
sum
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
f_kl
\end_layout
\begin_layout Standard
+\noindent
+\begin_inset VSpace medskip
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\noindent
Relationen, wie z.
\begin_inset space \thinspace{}
\end_inset
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Standard
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
-<column alignment="left" valignment="top" width="0">
-<column alignment="left" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="left" valignment="top">
+<column alignment="left" valignment="top">
<row>
<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text
\end_inset
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
\end_layout
\begin_layout Subsection
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
hspace
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\color blue
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\color blue
-\begin_inset ERT
-status collapsed
+\begin_inset space \textvisiblespace{}
+\end_inset
-\begin_layout Plain Layout
+\color inherit
+
+\begin_inset Quotes grd
+\end_inset
+
+ klickt.
+ Die Länge darf auch negativ sein.
+ Wenn ein Leerraum das erste Zeichen in einer Zeile ist, wird er automatisch
+ weggelassen.
+ Um seine Ausgabe zu erzwingen, verwendet man den Befehl
+\series bold
\backslash
-leer
-\end_layout
+hspace*
+\series default
+ statt
+\series bold
+\backslash
+hspace
+\series default
+ oder klickt mit der linken Maustaste auf das
+\begin_inset Quotes gld
+\end_inset
+
+
+\color blue
+
+\begin_inset space \textvisiblespace{}
\end_inset
\begin_inset Quotes grd
\end_inset
- klickt.
- Die Länge darf auch negativ sein.
- Um so viel Leerraum einzufügen, dass die Formel allen verfügbaren Platz
+ und wählt die Option
+\family sans
+Schützen
+\family default
+ aus.
+\begin_inset Newline newline
+\end_inset
+
+Um so viel Leerraum einzufügen, dass die Formel allen verfügbaren Platz
einnimmt, benutzt man den Befehl
\series bold
hfill
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
A=B
\backslash
-hspace{3cm
-\begin_inset Formula $\to$
+hspace
+\begin_inset space \textvisiblespace{}
\end_inset
A
\begin_layout Plain Layout
A
\backslash
-hspace{-1mm
-\begin_inset Formula $\to$
+hspace
+\begin_inset space \textvisiblespace{}
\end_inset
A
A=A
\backslash
hfill
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
B=B
\begin_layout Subsection
Leerraum neben eingebetteten Formeln
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
mathsurround
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
lässt sich der Leerraum einstellen, der neben eingebettete Formeln gesetzt
wird.
Der Wert einer Länge wird mit dem Befehl
\backslash
setlength
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
gesetzt.
Dieser besitzt folgendes Befehlsschema:
\end_layout
\begin_layout Section
Boxen und Rahmen
-\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>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\backslash
fbox
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\backslash
boxed
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
A+
\backslash
fbox
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
B
\backslash
framebox
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
20mm
\backslash
frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\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>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\backslash
sqrt
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
B
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\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>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
{
\backslash
fbox
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\backslash
fbox
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
C=D
\family default
die gewünschte Farbe aus.
Der Dialog kann mit dem Werkzeugleistenknopf
-\begin_inset Graphics
- filename ../../images/dialog-show_character.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "dialog-show character"
\end_inset
oder dem Menü
\begin_layout Standard
\color red
-\begin_inset Formula \begin{equation}
-\int A=B\label{eq:rot}\end{equation}
+\begin_inset Formula
+\begin{equation}
+\int A=B\label{eq:rot}
+\end{equation}
\end_inset
\color green
-\begin_inset Formula \begin{equation}
-\textcolor{red}{\int A=B}\label{eq:rotgruen}\end{equation}
+\begin_inset Formula
+\begin{equation}
+\textcolor{red}{\int A=B}\label{eq:rotgruen}
+\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
gewählt wurde:
-\begin_inset Formula \begin{equation}
-\colorbox{dunkelgruen}{\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{dunkelgruen}{\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
auch für Text
-\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
Box
\family default
oder dem Werkzeugleistenknopf
-\begin_inset Graphics
- filename ../../images/box-insert.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "box-insert"
\end_inset
kann man eine Box erstellen, die mehrere Zeilen und Absätze enthalten kann,
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
\emph on
b
\emph default
- steht für bottom und bedeutet, dass die letzte Absatzzeile in den umstehenden
- Text eingepasst wird.
+ steht für
+\begin_inset Quotes gld
+\end_inset
+
+bottom
+\begin_inset Quotes grd
+\end_inset
+
+ (unten) und bedeutet, dass die letzte Absatzzeile in den umstehenden Text
+ eingepasst wird.
Bei
\emph on
t
\emph default
- wie top geschieht dies für die erste Zeile.
+ wie
+\begin_inset Quotes gld
+\end_inset
+
+top
+\begin_inset Quotes grd
+\end_inset
+
+ (oben) geschieht dies für die erste Zeile.
Wird keine Position angegeben, wird der Absatz in mittlerer Höhe eingepasst,
siehe das Kapitel
\emph on
\backslash
linewidth
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
für die im Dokument eingestellte Zeilenbreite.
Da sich der Rahmen außerhalb der Absatzbox befindet, muss man von der Zeilenbre
ite zweimal die Rahmendicke und den Rahmenabstand abziehen.
\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
wurde:
-\begin_inset Formula \[
-5x-7b=3b\textrm{Dies ist eine Beschreibung. Sie ist nicht von der Formel getrennt ...}\]
+\begin_inset Formula
+\[
+5x-7b=3b\textrm{Dies ist eine Beschreibung. Sie ist nicht von der Formel getrennt ...}
+\]
+
+\end_inset
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
\end_inset
\begin_layout Section
Operatoren
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
int
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
sum
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
prod
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
Alle großen Operatoren können auch über den Mathe-Werkzeugleistenknopf
-\begin_inset Graphics
- filename ../../images/math/intop.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\intop"
\end_inset
eingefügt werden.
\end_inset
-\begin_inset ERT
-status collapsed
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-
-
-\backslash
-hphantom{in}
+in
\end_layout
\end_inset
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
Grenzen werden durch Hoch- bzw.
- Tiefstellen erzeugt:
+\begin_inset space \space{}
+\end_inset
+
+Tiefstellen erzeugt:
\end_layout
\begin_layout Standard
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
prod^
\backslash
infty
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
Operator gesetzt.
In einer abgesetzten Formel werden, außer bei Integralen, die Grenzen über
bzw.
- unter den Operator gesetzt.
+\begin_inset space \space{}
+\end_inset
+
+unter den Operator gesetzt.
\end_layout
\begin_layout Standard
\begin_layout Standard
Die normalen Grenzen sehen so aus:
-\begin_inset Formula \[
-\sum_{x=0}^{\infty}\frac{1}{x^{2}}\]
+\begin_inset Formula
+\[
+\sum_{x=0}^{\infty}\frac{1}{x^{2}}
+\]
\end_inset
So sieht die Formel aus, wenn man die Grenzen neben das Summenzeichen setzt:
-\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
Anzeige
\series default
gesetzt und damit unter die Integrale geschrieben:
-\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
B.
diesen Ausdruck
-\begin_inset Formula \begin{equation}
+\begin_inset Formula
+\begin{equation}
\sum_{\begin{subarray}{c}
0<k<1000\\
-\\k\,\in\,\mathbb{N}\end{subarray}}^{n}k^{-2}\label{eq:substack}\end{equation}
+\\
+k\,\in\,\mathbb{N}
+\end{subarray}}^{n}k^{-2}\label{eq:substack}
+\end{equation}
\end_inset
^
\series bold
n
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
_
\backslash
subarray
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
hfill
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
kann es vorkommen, dass sich neben dem Operator zu viel Leerraum befindet,
denn das dem Operator folgende Zeichen wird neben die Grenzen gesetzt.
+ Um das zu verhindern, kann man den Befehl
+\series bold
+
+\backslash
+mathclap
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Befehle ! M !
+\backslash
+mathclap
\end_layout
-\begin_layout Standard
-Um das zu verhindern, kann man folgendes Makro in den LaTeX-Vorspann einfügen:
+\end_inset
+
+ verwenden, der die Breite seines Inhalts auf 0
+\begin_inset space \thinspace{}
+\end_inset
+
+pt setzt.
+\begin_inset Newline newline
+\end_inset
+
+Auf Formel
+\begin_inset CommandInset ref
+LatexCommand eqref
+reference "eq:substack"
+
+\end_inset
+
+ angewandt, gibt man den Befehl
\end_layout
\begin_layout Standard
\series bold
\backslash
-def
-\backslash
-clap#1{
-\backslash
-hbox to 0pt{
+sum_
\backslash
-hss #1
+mathclap
\backslash
-hss}}
-\begin_inset Newline newline
+substack
+\begin_inset space \textvisiblespace{}
\end_inset
+0<k<1000 Strg+Enter
+\end_layout
+
+\begin_layout Standard
+ein, um die untere Grenze zu erstellen.
+ Der Summand befindet sich nun direkt hinter dem Summenzeichen:
+\begin_inset Formula
+\[
+\sum_{\mathclap{\substack{0<k<1000\\
+\\
+k\,\in\,\mathbb{N}
+}
+}}^{n}k^{-2}
+\]
-\backslash
-def
-\backslash
-mathclap {
-\backslash
-mathpalette
-\backslash
-mathclapinternal}
-\begin_inset Newline newline
\end_inset
-\backslash
-def
-\backslash
-mathclapinternal #1#2{
-\backslash
-clap{$
-\backslash
-mathsurround =0pt #1{#2}$}}
\end_layout
\begin_layout Standard
-Dadurch wird der Befehl
+\begin_inset VSpace bigskip
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Wenn mehrere aufeinanderfolgende Operatoren Grenzen haben, sieht der Schriftsatz
+ der Grenzen oft nicht ansprechend aus, wie dieses Beispiel zeigt:
+\begin_inset Formula
+\[
+\text{a)}\lim_{n\to\infty}\max_{p\ge n}\quad\text{b)}\lim_{n\to\infty}\max_{p^{2}\ge n}\quad\text{c)}\lim_{n\to\infty}\sup_{p^{2}\ge nK}\quad\text{d)}\limsup_{n\to\infty}\max_{p\ge n}
+\]
+
+\end_inset
+
+Um den Schriftsatz zu verbessern, stellt man in den Dokumenteinstellungen
+ unter
+\family sans
+Mathe-Optionen
+\family default
+ für das Paket
+\series bold
+mathtools
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Pakete ! mathtools
+\end_layout
+
+\end_inset
+
+ die Option
+\family sans
+Immer
+\begin_inset space ~
+\end_inset
+
+laden
+\family default
+ ein.
+ Nun fügt man direkt vor den ersten Operator denn Befehl
\series bold
\backslash
-mathclap
+adjustlimits
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
-Befehle ! M !
+Befehle ! A !
\backslash
-mathclap
+adjustlimits
\end_layout
\end_inset
- definiert, der die Breite der Grenze auf 0
-\begin_inset space \thinspace{}
+ ein.
+ Das Beispiel schaut dann so aus:
+\begin_inset Formula
+\[
+\text{a)}\adjustlimits\lim_{n\to\infty}\max_{p\ge n}\quad\text{b)}\adjustlimits\lim_{n\to\infty}\max_{p^{2}\ge n}\quad\text{c)}\adjustlimits\lim_{n\to\infty}\sup_{p^{2}\ge nK}\quad\text{d)}\adjustlimits\limsup_{n\to\infty}\max_{p\ge n}
+\]
+
\end_inset
-pt setzt.
- Das Befehlsschema lautet
+
\end_layout
\begin_layout Standard
+\begin_inset VSpace bigskip
+\end_inset
+In
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sub:Selbstdefinierte-Operatoren"
+
+\end_inset
+
+ ist beschrieben, wie man eine Grenze für mehrere Operatoren verwenden kann.
+\end_layout
+
+\begin_layout Subsection
+Dekoration für Operatoren
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Operatoren ! Dekoration
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Zum Dekorieren von Operatoren gibt es die Befehle
\series bold
\backslash
-mathclap{Grenze}
+overset
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Befehle ! O !
+\backslash
+overset
\end_layout
-\begin_layout Standard
-wobei die Grenze auch aus mehreren Bedingungen bestehen kann.
+\end_inset
+
+ und
+\series bold
+
+\backslash
+underset
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Befehle ! U !
+\backslash
+underset
\end_layout
-\begin_layout Standard
-Auf Formel
-\begin_inset CommandInset ref
-LatexCommand eqref
-reference "eq:substack"
+\end_inset
+, mit denen man Zeichen über bzw.
+\begin_inset space \space{}
\end_inset
- angewandt, gibt man also den Befehl
+unter einen Operator setzen kann.
+ Mit dem Befehl
+\series bold
+
+\backslash
+sideset
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Befehle ! S !
+\backslash
+sideset
+\end_layout
+
+\end_inset
+
+ können Zeichen vor und nach einen großen Operator gesetzt werden.
\end_layout
\begin_layout Standard
+Es gibt 4
+\begin_inset space ~
+\end_inset
+Varianten von
\series bold
\backslash
-sum_
+sideset
+\series default
+:
+\end_layout
+
+\begin_layout Itemize
+
+\series bold
+
\backslash
-mathclap{
+sideset
+\series default
+ zum Setzen von Zeichen an die Ecken des Operators
+\end_layout
+
+\begin_layout Itemize
+
+\series bold
+
\backslash
-substack
-\begin_inset ERT
-status collapsed
+sidesetn
+\series default
+ zum Setzen von Zeichen vor und/oder nach den Operator (diese Variante entsprich
+t LaTeXs originalem
+\series bold
-\begin_layout Plain Layout
+\backslash
+sideset
+\series default
+ Befehl)
+\end_layout
+
+\begin_layout Itemize
+
+\series bold
+
+\backslash
+sidesetl
+\series default
+ zum Setzen von Zeichen an die linken Ecken und/oder nach den Operator
+\end_layout
+
+\begin_layout Itemize
+\series bold
\backslash
-leer
+sidesetr
+\series default
+ zum Setzen von Zeichen an die rechten Ecken und/oder vor den Operator
\end_layout
+\begin_layout Standard
+Z.
+\begin_inset space \thinspace{}
\end_inset
-0<k<1000 Strg+Enter
+B.
+ ergibt der Befehl
+\series bold
+
+\backslash
+sidesetn
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\backslash
+sum
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\begin_inset Formula $\to$
+\end_inset
+
+'
+\begin_inset Formula $\to$
+\end_inset
+
+_k=1
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\series default
+^
+\series bold
+n
+\series default
+ :
+\begin_inset Formula
+\[
+\sideset{}{'}\sum_{k=1}^{n}
+\]
+
+\end_inset
+
+
\end_layout
\begin_layout Standard
-ein, um die untere Grenze zu erstellen.
- Der Summand befindet sich nun direkt hinter dem Summenzeichen:
-\begin_inset Formula \[
-\sum_{\mathclap{\substack{0<k<1000\\
-\\k\,\in\,\mathbb{N}}
-}}^{n}k^{-2}\]
+\begin_inset Note Greyedout
+status open
+
+\begin_layout Plain Layout
+
+\series bold
+Achtung:
+\backslash
+sideset
+\series default
+ kann nur für die Dekoration von großen Operatoren verwendet werden, binäre
+ Operatoren sind nicht erlaubt.
+\end_layout
\end_inset
\end_layout
\begin_layout Standard
-\begin_inset VSpace bigskip
+Mit
+\series bold
+
+\backslash
+overset
+\series default
+ bzw.
+\begin_inset space \space{}
\end_inset
-In
-\begin_inset CommandInset ref
-LatexCommand ref
-reference "sub:Selbstdefinierte-Operatoren"
+\series bold
+
+\backslash
+underset
+\series default
+ kann man auch Symbole und Zeichen dekorieren.
+ Beispielsweise ergibt der Befehl
+\series bold
+
+\backslash
+overset
+\begin_inset space \textvisiblespace{}
\end_inset
- ist beschrieben, wie man eine Grenze für mehrere Operatoren verwenden kann.
+
+\backslash
+maltese
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\series default
+
+\begin_inset Formula $\uparrow$
+\end_inset
+
+
+\series bold
+a
+\series default
+ :
+\begin_inset Formula
+\[
+\overset{a}{\maltese}
+\]
+
+\end_inset
+
+
\end_layout
\begin_layout Subsection
\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 rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Standard
Alle binären Operatoren können auch über den Mathe-Werkzeugleistenknopf
-\begin_inset Graphics
- filename ../../images/math/pm.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\pm"
\end_inset
eingefügt werden.
\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
besteht:
-\begin_inset Formula \[
-\Raute_{n=1}^{\infty}\]
+\begin_inset Formula
+\[
+\Raute_{n=1}^{\infty}
+\]
\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
mathop{Anzeige}
\series default
bzw.
-
+\begin_inset space \space{}
+\end_inset
+
+
\series bold
\backslash
B.
nutzen, um eine Grenze für mehrere Operatoren zu verwenden:
-\begin_inset Formula \[
-\mathop{\sum\negmedspace\sum}_{i,j=1}^{N}\]
+\begin_inset Formula
+\[
+\mathop{\sum\negmedspace\sum}_{i,j=1}^{N}
+\]
\end_inset
sum
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
^N
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
+\begin_inset space \textvisiblespace{}
+\end_inset
-\backslash
-leer
+\series bold
+_i,j=1
\end_layout
+\begin_layout Standard
+\begin_inset Newpage newpage
\end_inset
-\series bold
-_i,j=1
\end_layout
\begin_layout Section
Schriften
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
\align center
\begin_inset Tabular
-<lyxtabular version="3" rows="6" columns="3">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<lyxtabular version="3" rows="7" columns="3">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
mathbb
\series bold
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
mathbf
\series bold
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
boldsymbol
\series bold
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
mathcal
\series bold
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
</cell>
</row>
<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
mathfrak
\series bold
-\begin_inset ERT
-status collapsed
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\series default
+AbC
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
\begin_layout Plain Layout
+\begin_inset Formula $\mathfrak{AbC}$
+\end_inset
-\backslash
-leer
\end_layout
\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+-
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+mathscr
+\series bold
+
+\begin_inset space \textvisiblespace{}
+\end_inset
\series default
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\mathfrak{AbC}$
+\begin_inset Formula $\mathscr{AbC}$
\end_inset
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="3">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
mathit
\series bold
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
mathrm
\series bold
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
mathsf
\series bold
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
mathtt
\series bold
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\begin_layout Standard
Die Stilbefehle wirken auch auf Buchstaben in mathematischen Konstruktionen:
-\begin_inset Formula \[
-\mathfrak{A=\frac{b}{C}}\]
+\begin_inset Formula
+\[
+\mathfrak{A=\frac{b}{C}}
+\]
\end_inset
Text-Stil
\family default
oder den Mathe-Werkzeugleistenknopf
-\begin_inset Graphics
- filename ../../images/math/font.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\font"
\end_inset
verwenden.
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Standard
-\begin_inset Formula \[
-\mathbf{\int_{n}^{2}f(\theta)=\Gamma}\qquad\textrm{Formel mit \textbackslash mathbf}\]
+\begin_inset Formula
+\[
+\mathbf{\int_{n}^{2}f(\theta)=\Gamma}\qquad\textrm{Formel mit \textbackslash mathbf}
+\]
\end_inset
boldsymbol
\series default
:
-\begin_inset Formula \[
-\boldsymbol{\int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{Formel mit \textbackslash boldsymbol}}\]
+\begin_inset Formula
+\[
+\boldsymbol{\int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{Formel mit \textbackslash boldsymbol}}
+\]
\end_inset
\backslash
boldmath
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
eingibt.
Um die Umgebung wieder zu beenden, gibt man im TeX-Modus den Befehl
\series bold
\backslash
unboldmath
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
ein.
\begin_inset ERT
status collapsed
\end_inset
-\begin_inset Formula \[
-\int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{Formel in boldmath-Umgebung}\]
+\begin_inset Formula
+\[
+\int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{Formel in boldmath-Umgebung}
+\]
\end_inset
\begin_layout Subsection
Farbige Formeln
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\family default
Dialog.
Hier ist eine Formel 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
\end_layout
\begin_layout Standard
-Innerhalb einer Formel kann die Größe nur für Symbole oder Buchstaben im
- mathematischen Text geändert werden.
- Dazu wird der Größenbefehl im mathematischen Textmodus eingegeben.
- Alle diesem Befehl folgenden Zeichen bis zum Ende des mathematischen Textes
- oder bis zu einem anderen Größenbefehl haben dann die angegebene Größe.
- Dazu zwei Beispiele:
-\begin_inset VSpace -2mm
-\end_inset
+Innerhalb einer Formel kann die Größe mit den folgenden Größenbefehlen geändert
+ werden:
+\end_layout
+\begin_layout Standard
+\noindent
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="5" columns="2">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+\begin_layout Plain Layout
+Befehl
\end_layout
-\begin_layout Standard
-\begin_inset ERT
+\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
+Ergebnis
+\begin_inset Note Note
status collapsed
\begin_layout Plain Layout
+\series bold
\backslash
-huge
+raisebox
+\series default
+ dient nur als Abstandhalter.
\end_layout
\end_inset
-\begin_inset Formula \[
-A=\frac{B}{c}\cdot\maltese\]
+\end_layout
\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+\begin_layout Plain Layout
-\begin_inset Formula \[
-\maltese A\textrm{\Large\maltese\textit{A}}\textrm{\tiny\maltese\textit{A}}\]
+\backslash
+displaystyle
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Befehle ! D !
+\backslash
+displaystyle
+\end_layout
\end_inset
-\begin_inset ERT
-status collapsed
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
\begin_layout Plain Layout
+\begin_inset Formula $\raisebox{6.5mm}{}{\displaystyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}\raisebox{-5.5mm}{}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+\begin_layout Plain Layout
\backslash
-normalsize
+textstyle
\end_layout
\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\raisebox{4.5mm}{}{\textstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}\raisebox{-4mm}{}$
+\end_inset
\end_layout
-\begin_layout Standard
-\begin_inset VSpace medskip
\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
-Vor beiden Formeln wurde der Befehl
-\series bold
+\begin_layout Plain Layout
\backslash
-huge
-\series default
- eingegeben.
- Der Befehl für die zweite Formel lautet:
-\begin_inset Newline newline
+scriptstyle
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\raisebox{4.5mm}{}{\scriptstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}\raisebox{-3.5mm}{}$
\end_inset
-\series bold
+\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
-maltese
-\begin_inset ERT
-status collapsed
+scriptscriptstyle
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
\begin_layout Plain Layout
+\begin_inset Formula $\raisebox{4.5mm}{}{\scriptscriptstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}\raisebox{-3.5mm}{}$
+\end_inset
-\backslash
-leer
\end_layout
\end_inset
+</cell>
+</row>
+</lyxtabular>
-A M-m m
-\backslash
-Large
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Nachdem diese Befehle eingegeben wurden, erscheint eine blaues Kästchen
+ in das die Formelteile eingegeben werden.
+\end_layout
+
+\begin_layout Standard
+Es gibt eine weitere Möglichkeit die Schriftgröße zu ändern, die allerdings
+ nur für Symbole oder Buchstaben im mathematischen Text funktioniert.
+ Dazu wird einer der obigen Textgrößenbefehle im mathematischen Textmodus
+ eingegeben.
+ Alle diesem Befehl folgenden Zeichen bis zum Ende des mathematischen Textes
+ oder bis zu einem anderen Größenbefehl haben dann die angegebene Größe.
+ Dazu zwei Beispiele:
+\begin_inset VSpace -2mm
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
\begin_inset ERT
status collapsed
\backslash
-leer
+huge
\end_layout
\end_inset
-\backslash
-maltese
+\begin_inset Formula
+\[
+A=\frac{B}{c}\cdot\maltese
+\]
+
+\end_inset
+
+
+\begin_inset Formula
+\[
+\maltese A\textrm{\Large\maltese\textit{A}}\textrm{\tiny\maltese\textit{A}}
+\]
+
+\end_inset
+
+
\begin_inset ERT
status collapsed
\backslash
-leer
+normalsize
+\end_layout
+
+\end_inset
+
+
\end_layout
+\begin_layout Standard
+\begin_inset VSpace medskip
\end_inset
+Vor beiden Formeln wurde der Befehl
+\series bold
\backslash
-textit
-\begin_inset ERT
-status collapsed
+huge
+\series default
+ eingegeben.
+ Der Befehl für die zweite Formel lautet:
+\begin_inset Newline newline
+\end_inset
-\begin_layout Plain Layout
+\series bold
\backslash
-leer
-\end_layout
+maltese
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A M-m m
+\backslash
+Large
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+\backslash
+maltese
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\backslash
+textit
+\begin_inset space \textvisiblespace{}
\end_inset
A
m
\backslash
tiny
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
maltese
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
textit
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\begin_layout Section
Griechische Buchstaben
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Standard
-Alle griechischen Buchstaben können auch über den Mathe-Werkzeugleistenknopf
+Griechischen Buchstaben können auch über den Mathe-Werkzeugleistenknopf
-\begin_inset Graphics
- filename ../../images/math/alpha.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\alpha"
\end_inset
eingefügt werden.
+ Alle internationalen Schriftsatz-Normen geben vor, dass griechische Buchstaben
+ in Formeln aufrecht gesetzt werden.
+ In einigen Sprachen, wie z.
+\begin_inset space \thinspace{}
+\end_inset
+
+B: Französisch oder Russisch, werden sie dennoch manchmal aufrecht gesetzt.
\end_layout
\begin_layout Subsection
Kleine Buchstaben
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="12" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset VSpace medskip
\end_inset
-Wie man aufrechte griechische Buchstaben erstellt, ist in
+Wie man spezielle, aufrechte griechische Buchstaben erstellt, ist in
\begin_inset CommandInset ref
LatexCommand ref
reference "sub:Aufrechte-kleine-griechische"
\begin_layout Subsection
Große Buchstaben
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="7" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
varGamma
\series default
-:
+
\begin_inset Formula $\varGamma$
\end_inset
+.
+ Eine andere Methode ist das Laden des Pakets
+\series bold
+fixmath
+\series default
+
+\begin_inset Foot
+status collapsed
+
+\begin_layout Plain Layout
+
+\series bold
+fixmath
+\series default
+ ist Teil des LaTeX-Paketes
+\series bold
+was
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Pakete ! 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
+Pakete ! fixmath
+\end_layout
+
+\end_inset
+
+ mit der LaTeX-Vorspannzeile
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+usepackage{fixmath}
+\end_layout
+
+\begin_layout Standard
+Dann werden alle großen griechischen Buchstaben im Dokument automatisch
+ kursiv ausgegeben.
+\end_layout
+
\begin_layout Subsection
Fett gedruckte Buchstaben
-\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>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
Viele der im Folgenden aufgelisteten Symbole können auch über die Mathe-Werkzeug\SpecialChar \-
leistenknöpfe
-\begin_inset Graphics
- filename ../../images/math/nabla.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\nabla"
\end_inset
und
-\begin_inset Graphics
- filename ../../images/math/digamma.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\digamma"
\end_inset
eingefügt werden.
\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 rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
+\end_layout
+
+\begin_layout Standard
+\begin_inset VSpace -7mm
+\end_inset
+
+
\end_layout
\begin_layout Standard
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset VSpace medskip
\end_inset
-Weitere Symbole sind in
-\begin_inset CommandInset ref
-LatexCommand ref
-reference "sub:Sonstige-Sonderzeichen"
-
-\end_inset
- aufgelistet.
\end_layout
\begin_layout Standard
\begin_layout Subsection
Das Euro-Symbol €
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
eurosym
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
euro
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
officialeuro
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="3">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Standard
-Alle griechischen Buchstaben können auch über den Mathe-Werkzeugleistenknopf
+Alle folgenden Relationen können auch über den Mathe-Werkzeugleistenknopf
-\begin_inset Graphics
- filename ../../images/math/leq.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\leq"
\end_inset
eingefügt werden.
\begin_inset Tabular
<lyxtabular version="3" rows="17" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="17" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="17" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
lhd
\series default
bzw.
-
+\begin_inset space \space{}
+\end_inset
+
+
\series bold
\backslash
triangleleft
\series default
bzw.
-
+\begin_inset space \space{}
+\end_inset
+
+
\series bold
\backslash
.
\end_layout
+\begin_layout Standard
+LyX unterstützt auch viele spezielle Relationen.
+ Drücken Sie den Mathe-Werkzeugleistenknopf
+\begin_inset Info
+type "icon"
+arg "math-insert \\leqq"
+\end_inset
+
+ um eine Liste dieser Relationen zu sehen.
+\end_layout
+
\begin_layout Standard
Relationen sind im Gegensatz zu Symbolen immer von Leerraum umgeben.
\end_layout
stackrel
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
A(r)
\backslash
stackrel
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
r
to
\backslash
infty
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
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+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
approx
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
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-leer
-\end_layout
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+\begin_inset space \textvisiblespace{}
\end_inset
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
B
\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 rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="4">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\begin_layout Subsection
Selbst definierte Funktionen
-\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 rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Subsection
Grenzwerte
-\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>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
lim_x
\backslash
to
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
x=B
\begin_layout Standard
In einer abgesetzten Formel steht der Grenzwert wie gewohnt darunter:
-\begin_inset Formula \[
-\lim_{x\to A}x=B\]
+\begin_inset Formula
+\[
+\lim_{x\to A}x=B
+\]
\end_inset
\end_layout
+\begin_layout Standard
+\begin_inset VSpace medskip
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Wie man den Schriftsatz von Grenzen einstellt, ist in
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sub:Operatorgrenzen"
+
+\end_inset
+
+ erklärt.
+\end_layout
+
\begin_layout Subsection
Modulo-Funktionen
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
Die Varianten in einer abgesetzten Formel:
-\begin_inset Formula \begin{align*}
+\begin_inset Formula
+\begin{align*}
\underline{\textrm{Befehl}\raisebox{-0.9mm}{}} & & \underline{\textrm{Ergebnis}}\\
-\mathrm{a\backslash mod\textrm{\leer}b} & & a\mod b\\
-\mathrm{a\backslash pmod\textrm{\leer}b} & & a\pmod b\\
-\mathrm{a\backslash bmod\textrm{\leer}b} & & a\bmod b\\
-\mathrm{a\backslash pod\textrm{\leer}b} & & a\pod b\end{align*}
+\mathrm{a\backslash mod\textrm{␣}b} & & a\mod b\\
+\mathrm{a\backslash pmod\textrm{␣}b} & & a\pmod b\\
+\mathrm{a\backslash bmod\textrm{␣}b} & & a\bmod b\\
+\mathrm{a\backslash pod\textrm{␣}b} & & a\pod b
+\end{align*}
\end_inset
\begin_layout Standard
In einer eingebetteten Formel wird bei allen Varianten vor den Funktionsnamen
weniger Leerraum gesetzt.
+ Standardmäßig beachten die Modulo-Funktionen nur das erste, folgende Zeichen.
+ Um mehrere Zeichen zu verwenden, muss man sie in TeX-Klammern setzen:
+\begin_inset Formula
+\begin{align*}
+\underline{\textrm{Befehl}\raisebox{-0.9mm}{}} & & \underline{\textrm{Ergebnis}}\\
+\mathrm{a\backslash pod\textrm{␣}bcd} & & a\pod bcd\\
+\mathrm{a\backslash pod\backslash\{bc\to d} & & a\pod{bc}d
+\end{align*}
+
+\end_inset
+
+
\end_layout
\begin_layout Section
Sonderzeichen
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
-<column alignment="block" valignment="top" width="0">
-<column alignment="block" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="block" valignment="top">
+<column alignment="block" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\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>
-<column alignment="block" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="block" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\end_inset
mm dient nur zur Trennung,da sonst im Ausdruck ¡ bzw.
- ¿ erscheinen würde.
+\begin_inset space \space{}
+\end_inset
+
+¿ erscheinen würde.
\end_layout
\end_inset
\end_inset
`
-\begin_inset ERT
-status collapsed
-
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-
-
-\backslash
-leer
-\end_layout
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\end_inset
\end_inset
`
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\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>
-<column alignment="block" valignment="top" width="0">
-<column alignment="block" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="block" valignment="top">
+<column alignment="block" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\backslash
^
-\begin_inset ERT
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-\begin_inset ERT
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-\begin_inset ERT
-status collapsed
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-\end_layout
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+\begin_inset space \textvisiblespace{}
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t
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
ee
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
-<column alignment="block" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="block" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\backslash
H
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
e
\backslash
~e
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
v
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
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e
\backslash
d
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
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-leer
-\end_layout
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+\begin_inset space \textvisiblespace{}
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e
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c
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
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+\begin_inset space \textvisiblespace{}
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e
\backslash
t
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
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+\begin_inset space \textvisiblespace{}
\end_inset
sz
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>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Subsection
Minuskelziffern
-\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_layout
-\begin_layout Subsection
-Sonstige Sonderzeichen
-\begin_inset CommandInset label
-LatexCommand label
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-
-\end_inset
-
-
-\begin_inset Index
-status collapsed
-
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-Sonderzeichen ! sonstige
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-Folgende Zeichen können in eine Formel nur mit Befehlen eingegeben werden:
-\end_layout
-
-\begin_layout Standard
-\align center
-\begin_inset Tabular
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-<features>
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-\begin_inset Text
-
-\begin_layout Plain Layout
-Befehl
-\end_layout
-
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-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-Ergebnis
-\end_layout
-
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-<row>
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-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
-\end_inset
-
-
-\backslash
-circ
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-
-\backslash
-@°
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $^{\circ}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-</lyxtabular>
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-Das Gradzeichen ° kann dennoch direkt eingegeben werden, wenn der LaTeX-Vorspann
- folgende Zeile enthält
-\begin_inset Foot
-status collapsed
-
-\begin_layout Plain Layout
-Mehr dazu ist in
-\begin_inset CommandInset ref
-LatexCommand ref
-reference "sub:Textzeichen-in-Formeln"
-
-\end_inset
-
- beschrieben.
-\end_layout
-
-\end_inset
-
-:
-\end_layout
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-DeclareInputText{176}{
-\backslash
-ifmmode^
-\backslash
-circ
-\backslash
-else
-\backslash
-textdegree
-\backslash
-fi}
-\end_layout
-
\begin_layout Section
Formelstile
\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
beschrieben ist.
+ Es wird empfohlen die align-Umgebung zu verwenden, denn sie erscheint in
+ jedem Fall typographisch korrekt in der Ausgabe.
\end_layout
\begin_layout Standard
\end_inset
bzw.
-\begin_inset space ~
+\begin_inset space \space{}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
Bei mehrzeiligen Formeln fehlt manchmal etwas Platz zwischen den Zeilen:
-\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
Lange Formeln
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Itemize
Ist eine Seite der Gleichung deutlich kürzer als die Zeilenbreite, wählt
man man diese als linke Seite und schreibt die rechte über zwei Zeilen:
-\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:kurzlang}\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:kurzlang}
+\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
.
Dieser wird in die erste Spalte der ersten Zeile eingegeben und bewirkt,
dass alle weiteren Eingaben die folgenden Spalten überschreiben:
-\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
Bei Klammern, die über mehrere Zeilen gehen, tritt folgendes Problem auf:
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
A & = & \sin(x)\left[\prod_{R=1}^{\infty}\frac{1}{R}+\cdots\right.\\
- & & \left.\cdots+B-D\right]\end{eqnarray*}
+ & & \left.\cdots+B-D\right]
+\end{eqnarray*}
\end_inset
right.
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
vphantom
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
prod
\series default
^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
infty
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
_R=1}
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
Das Ergebnis sieht so aus:
-\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
bzw.
-\begin_inset space ~
+\begin_inset space \space{}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
Ein Beispiel für zwei nebeneinander stehende Formeln, die mit einer vierspaltige
n align-Umgebung erzeugt wurden:
-\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-Umgebung
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
cm Leerraum eingefügt wurde:
-\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
Bei dieser Umgebung werden die ersten beiden Spalten immer so weit links
und die letzten beiden Spalten so weit rechts wie möglich gesetzt.
Dazu ein Beispiel:
-\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
ausgerichtet.
Der Inhalt des mittleren Kästchens erscheint zentriert und etwas kleiner,
da dieses Kästchen nur für Relationzeichen gedacht ist.
-\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-Umgebung
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
Diese Umgebung besteht nur aus einer Spalte, deren Inhalt zentriert ist.
Jede Zeile kann nummeriert werden.
-\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 der multline-Umgebung:
-\begin_inset Formula \begin{multline}
+\begin_inset Formula
+\begin{multline}
4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right)+D^{2}\\
-B^{2}-2B\sqrt{r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}+r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}\\
-=B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}\end{multline}
+=B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}
+\end{multline}
\end_inset
\backslash
shoveright
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
und
\series bold
\backslash
shoveleft
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
kann eine zentrierte Zeile rechts bzw.
- links ausgerichtet werden.
+\begin_inset space \space{}
+\end_inset
+
+links ausgerichtet werden.
Die Befehle werden folgendermaßen verwendet:
\end_layout
shoveright{Zeileninhalt}
\series default
bzw.
-
+\begin_inset space \space{}
+\end_inset
+
+
\series bold
\backslash
\backslash
multlinegap
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
legt den Abstand der ersten Zeile vom linken Seitenrand fest.
Voreingestellt ist die Länge 0
\begin_inset space \thinspace{}
\end_inset
-\begin_inset Formula \begin{multline}
+\begin_inset Formula
+\begin{multline}
4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right)+D^{2}\\
\shoveleft{-B^{2}-2B\sqrt{r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}+r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}\\
-=B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}\end{multline}
+=B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}
+\end{multline}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
umgebungen.
Man kann jedoch zusätzlich weitere Formelteile daneben setzen.
Dazu ein Beispiel:
-\begin_inset Formula \[
+\begin_inset Formula
+\[
\left.\begin{aligned}\Delta x\Delta p & \ge\frac{\hbar}{2}\\
-\Delta E\Delta t & \ge\frac{\hbar}{2}\end{aligned}
-\right\} \textrm{Unbestimmtheitsrelationen}\]
+\Delta E\Delta t & \ge\frac{\hbar}{2}
+\end{aligned}
+\right\} \textrm{Unbestimmtheitsrelationen}
+\]
\end_inset
\backslash
aligned
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
eingegeben wird.
Es erscheint eine lila Box um das blaue Formelkästchen in der man nun Spalten
und Zeilen hinzufügen kann.
\end_inset
in der aligned-Umgebung:
-\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
\end_inset
bzw.
-
+\begin_inset space \space{}
+\end_inset
+
+
\series bold
\backslash
split
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
intertext
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
muss dabei zu Beginn einer Zeile stehen und erscheint in der Ausgabe über
dieser Zeile.
Ein Beispiel bei dem der Text zu Beginn der zweiten Zeile eingegeben wurde:
-\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 ist symmetrisch zu \ensuremath{\phi=\pi}, daher}} & =2a\sqrt{2}\int_{0}^{\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\end{align}
+\intertext{\text{Integrand ist symmetrisch zu \ensuremath{\phi=\pi}, daher}} & =2a\sqrt{2}\int_{0}^{\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi
+\end{align}
\end_inset
\begin_layout Section
Formelnummerierung
-\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
Querverweise
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
gesetzt.
Dabei muss sich der Cursor in einer abgesetzten Formel befinden.
+ Alternativ klickt man mit rechts auf die Formel und wählt
+\family sans
+Formelmarke
+\family default
+.
Es erscheint ein Eingabefeld mit dem voreingestellten Eintrag
\series bold
eq:
\family sans
Einfügen\SpecialChar \menuseparator
Marke
+\family default
+ oder man klickt mit rechts auf eine Formel und dann auf
+\family sans
+Formelmarke
\family default
.
\end_layout
\begin_layout Subsection
Unternummerierung
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
Dazu ein Beispiel:
-\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
:
-\begin_inset Formula \begin{equation}
-A+B=C\tag{etwas}\label{eq:tag}\end{equation}
+\begin_inset Formula
+\begin{equation}
+A+B=C\tag{etwas}\label{eq:tag}
+\end{equation}
\end_inset
tag
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
tag*
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
etwas
\series default
ein, verhindert der Stern die Klammern um den Ausdruck:
-\begin_inset Formula \[
-A+B=C\tag*{etwas}\]
+\begin_inset Formula
+\[
+A+B=C\tag*{etwas}
+\]
\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
Nummerierung mit römischen Zahlen und Buchstaben
-\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
\begin_layout Plain Layout
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+Formeln in einem Dokument mit lateinischen Buchstaben nummeriert werden.
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+\end{equation}
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\end_inset
-\begin_inset Formula \begin{equation}
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+\begin_inset Formula
+\begin{equation}
+B=\textrm{Römisch}\label{eq:Roem}
+\end{equation}
\end_inset
\end_inset
-\begin_inset Formula \begin{equation}
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+\begin_inset Formula
+\begin{equation}
+C=\textrm{lateinisch}
+\end{equation}
\end_inset
\end_inset
-\begin_inset Formula \begin{equation}
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+\begin_inset Formula
+\begin{equation}
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+\end{equation}
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.
Die Reaktionsgleichung dazu lautet:
-\begin_inset Formula \begin{equation}
-\mathrm{2\, Na^{+}+SO_{4}^{2-}\longrightarrow Na_{2}SO_{4}}\label{eq:chemische-Reaktion}\end{equation}
+\begin_inset Formula
+\begin{equation}
+\mathrm{2\, Na^{+}+SO_{4}^{2-}\longrightarrow Na_{2}SO_{4}}\label{eq:chemische-Reaktion}
+\end{equation}
\end_inset
ce
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status collapsed
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mhchem
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\end_inset
B.
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+ für
+\begin_inset Newline newline
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+
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+\begin_layout Plain Layout
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+\series bold
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+Achtung:
+\series default
+ Es ist nicht möglich in LyX das Zeichen ^ zu verwenden um einen Pfeil nach
+ oben zu bekommen, wie es im
+\series bold
+mhchem
+\series default
+-Handbuch steht.
+ Man verwendet stattdessen einen kleinen negativen Leerraum gefolgt vom
+ Befehl
+\series bold
+
+\backslash
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+\series default
+:
+\begin_inset Newline newline
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+
+\begin_inset Formula $\ce{Fe + 2H+ -> Fe^{2+} + H2\negthinspace\uparrow}$
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sind ein Beispiel für eine mehrstufige chemische Reaktion, bei der jede
Gleichung eine eigene Nummer hat.
-\begin_inset Formula \begin{eqnarray}
+\begin_inset Formula
+\begin{eqnarray}
\ce{TEOS + 4O} & \ce{->} & \ce{Si(OH)4 + 4C2H4O}\label{eq:TEOS-Reaktion-1}\\
-\ce{Si(OH)4} & \ce{->} & \ce{SiO2 + 2H2O}\label{eq:TEOS-Reaktion-2}\end{eqnarray}
+\ce{Si(OH)4} & \ce{->} & \ce{SiO2 + 2H2O}\label{eq:TEOS-Reaktion-2}
+\end{eqnarray}
\end_inset
cf
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Diagramme
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\begin_layout Subsection
amscd Diagramme
-\begin_inset Index
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status collapsed
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Diagramme dieses Typs stellen Beziehungen mittels horizontaler und vertikaler
Linien oder Pfeilen dar:
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+\begin_inset Formula
+\[
\begin{CD}A@>>>B@>>>C\\
@AAA@.@VVV\\
-F@<<<E@<<<D\end{CD}\]
+F@<<<E@<<<D
+\end{CD}
+\]
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+\begin_inset space \space{}
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+
+> Text eingegeben, erscheint er über dem Pfeil.
Wird der Text zwischen dem zweiten und dritten < bzw.
- > eingegeben, erscheint er unter dem Pfeil.
+\begin_inset space \space{}
+\end_inset
+
+> eingegeben, erscheint er unter dem Pfeil.
\end_layout
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Wird bei vertikalen Pfeilen Text zwischen erstem und zweitem A bzw.
- V eingegeben, erscheint er links neben dem Pfeil.
+\begin_inset space \space{}
+\end_inset
+
+V eingegeben, erscheint er links neben dem Pfeil.
Bei Eingabe zwischen zweitem und drittem A bzw.
- V erscheint er rechts daneben.
+\begin_inset space \space{}
+\end_inset
+
+V erscheint er rechts daneben.
Enthält der Text ein A oder V, müssen diese Buchstaben in eine TeX-Klammer
gesetzt werden.
\end_layout
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-\begin_inset Formula \[
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\begin{CD}A@>j>>B@>>k>C@=F\\
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-Handbücher\SpecialChar \menuseparator
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+Handbücher
+\family default
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+\end_layout
+
+\begin_layout Subsection
+
+\noun on
+Feynman
+\noun default
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+\begin_inset Index idx
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+Diagramme ! Feynman
+\end_layout
+
+\end_inset
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+ Ein
+\noun on
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+\noun default
+Diagramm wird erstellt, indem der Befehl
+\series bold
+
+\backslash
+Diagram
+\series default
+ in eine Formel eingegeben wird.
+ Dann können Sie neue Matrixspalten und -zeilen wie bei normalen Matrizen
+ hinzufügen, siehe
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sec:Matrizen"
+
+\end_inset
+
+.
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+
+\begin_layout Standard
+Beispiele wie man in LyX
+\noun on
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+ gegeben, dass im Menü
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Mathe-Makros
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häufiger mit quadratischen Gleichungen zu tun, tritt immer derselbe Lösungstyp
auf.
Die allgemeine Form einer quadratischen Gleichung ist
-\begin_inset Formula \[
-0=\lambda^{2}+p\lambda+q\]
+\begin_inset Formula
+\[
+0=\lambda^{2}+p\lambda+q
+\]
\end_inset
Die allgemeine Form der Lösung lautet
-\begin_inset Formula \[
-\lambda_{1,2}=-\frac{p}{2}\pm\sqrt{\frac{p²}{4}-q}\]
+\begin_inset Formula
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+ Es sind maximal 9
+\begin_inset space ~
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\begin_layout Standard
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filename ../../images/math-macro-append-greedy-param.png
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filename ../../images/math-macro-add-greedy-optional-param.png
- BoundingBox 0bp 5bp 20bp 25bp
rotateOrigin center
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+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-
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-
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Mathe\SpecialChar \menuseparator
Makro-Definition\SpecialChar \menuseparator
-\begin_inset ERT
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-\end_inset
-
-
\end_layout
\begin_layout Section
-Tipps
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
+Computeralgebrasysteme
+\end_layout
+\begin_layout Standard
+Mit LyX ist es möglich, mathematische Ausdrücke mit externen Anwendungen
+ oder benutzerdefinierten Skripten auszutauschen.
+ Momentan werden folgende Anwendungen unterstützt:
+\family typewriter
+Maple
+\family default
+,
+\family typewriter
+Mathematica
+\family default
+,
+\family typewriter
+Maxima
+\family default
+ und
+\family typewriter
+Octave
+\family default
+.
+ Beachten Sie aber, dass die unterstützten mathematischen Ausdrücke auf
+ sehr einfache Fälle beschränkt sind.
+\end_layout
-\backslash
-texorpdfstring{
+\begin_layout Subsection
+Verwendung
\end_layout
+\begin_layout Standard
+Schreiben Sie einen Ausdruck in eine Formel, öffnen Sie das Menü
+\family sans
+Bearbeiten\SpecialChar \menuseparator
+Mathe\SpecialChar \menuseparator
+Computer-Algebra-System verwenden
+\family default
+ und wählen Sie die Anwendung, die Sie auf ihrem Computer installiert haben.
+ Danach sollte das Ergebnis der Berechnung auf der rechten Seite zusammen
+ mit dem
+\begin_inset Quotes gld
\end_inset
-
-\begin_inset Foot
-status collapsed
-
-\begin_layout Plain Layout
-Weitere gute Tipps gibt es unter
-\begin_inset CommandInset citation
-LatexCommand cite
-key "Voss"
-
+=
+\begin_inset Quotes grd
\end_inset
-.
+ Operator erscheinen.
\end_layout
-\end_inset
-
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}{}
+\begin_layout Standard
+Hier sind ein paar einfache Beispiele (mit Resultaten von
+\family typewriter
+Maxima
+\family default
+) um zu zeigen, welche Berechnungen durchgeführt werden können:
\end_layout
+\begin_layout Itemize
+\begin_inset Formula $\frac{37}{3}*2-\sum_{i=1}^{3}i^{i}=-\frac{22}{3}$
\end_inset
-\begin_inset Note Note
-status collapsed
+\end_layout
-\begin_layout Plain Layout
+\begin_layout Itemize
+\begin_inset Formula $\frac{37.0}{3}=12.33333333333333$
+\end_inset
-\series bold
-\backslash
-texorpdfstring
-\series default
- dient dazu, dass die Fußnote nicht mit im pdf-Lesezeichen erscheint.
\end_layout
-\begin_layout Plain Layout
-Näheres zu
-\series bold
-
-\backslash
-texorpdfstring
-\series default
- steht in Kapitel
-\begin_inset CommandInset ref
-LatexCommand ref
-reference "sub:Formeln-in-Überschriften"
-
+\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
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Tipps
\end_layout
+\begin_layout Itemize
+\begin_inset Formula $\lim_{x\rightarrow0}\left(\frac{\sin(x)}{x}\right)=1$
\end_inset
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Ionen|see
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
+\end_layout
-{
+\begin_layout Subsection
+Tastenkürzel
\end_layout
+\begin_layout Standard
+Momentan gibt es kein Tastenkürzel um Computeralgebrasysteme aufzurufen.
+ Sie können aber einfach ein Tastenkürzel mit der LyX-Funktion
+\family sans
+math-extern
+\family default
+ verknüpfen (siehe das
+\emph on
+LyX-Funktionen
+\emph default
+ Handbuch).
+ Man kann z.
+\begin_inset space \thinspace{}
\end_inset
-chemische Zeichen
-\begin_inset ERT
-status collapsed
+B.
+ die
+\family sans
+Enter
+\family default
+-Taste in Formeln verknüpfen.
+ Um sie mit
+\family typewriter
+Maxima
+\family default
+ zu verknüpfen, würde man diesen Tastenkürzel-Definitionsbefehl verwenden:
+\end_layout
-\begin_layout Plain Layout
+\begin_layout Standard
-}
+\series bold
+command-alternatives break-paragraph;math-extern maxima
\end_layout
-\end_inset
-
+\begin_layout Section
+Verschiedenes
+\begin_inset Index idx
+status collapsed
+\begin_layout Plain Layout
+Verschiedenes
\end_layout
\end_inset
\begin_layout Subsection
Negative Zahlen
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
-<column alignment="right" valignment="top" width="0">
-<column alignment="left" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="right" valignment="top">
+<column alignment="left" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Subsection
Komma als Dezimaltrennzeichen
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
was
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
braket
\series default
-\begin_inset Foot
-status collapsed
-
-\begin_layout Plain Layout
-
-\series bold
-braket
-\series default
- sollte Teil jeder LaTeX-Standardinstallation sein.
-\end_layout
-
-\end_inset
-
-
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\end_layout
-
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
\end_layout
\begin_layout Standard
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\series default
stellt sicher, dass alle senkrechten Striche in der Größe der umgebenden
Klammern gesetzt werden:
-\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>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Standard
Dazu ein Test:
-\begin_inset Formula \begin{align*}
+\begin_inset Formula
+\begin{align*}
\text{Befehl} & & \mathrm{\backslash fracS[1mm]\backslash\{A\to\backslash\{B} & & \mathrm{\backslash fracS[5mm]\backslash\{A\to\backslash\{B}\\
-\text{Ergebnis} & & \fracS[1mm]{A}{B} & & \fracS[5mm]{A}{B}\end{align*}
+\text{Ergebnis} & & \fracS[1mm]{A}{B} & & \fracS[5mm]{A}{B}
+\end{align*}
\end_inset
\begin_layout Subsection
Durchgestrichene Formeln
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Standard
-Um Formeln oder Formelteile durchzustreichen, muss das LaTeX-Paket
-\series bold
-cancel
-\series default
+Es gibt vier verschiedene Arten Formeln oder Formelteile durchzustreichen:
+\end_layout
-\begin_inset Foot
+\begin_layout Standard
+\begin_inset ERT
status collapsed
\begin_layout Plain Layout
-\series bold
-cancel
-\series default
- ist Teil jeder LaTeX-Standardinstallation.
+
+\backslash
+ifcancel
\end_layout
\end_inset
-\begin_inset Index
-status collapsed
+\begin_inset Note Note
+status open
\begin_layout Plain Layout
-Pakete ! cancel
+Die folgende Tabelle erscheint nur im Ausdruck wenn das LaTeX-Paket
+\series bold
+cancel
+\series default
+ installiert ist:
\end_layout
\end_inset
- mit der LaTeX-Vorspannzeile
-\end_layout
-
-\begin_layout Standard
-
-\series bold
-\backslash
-usepackage[samesize]{cancel}
-\end_layout
-
-\begin_layout Standard
-geladen werden.
-\end_layout
-
-\begin_layout Standard
-Es gibt vier verschiedene Arten durchzustreichen:
\end_layout
\begin_layout Standard
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\backslash
-cancel{
-\backslash
-int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
+cancel
+\begin_inset space \textvisiblespace{}
+\end_inset
\backslash
-leer
-\end_layout
-
+int
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\begin_layout Plain Layout
\backslash
-bcancel{
-\backslash
-int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
+bcancel
+\begin_inset space \textvisiblespace{}
+\end_inset
\backslash
-leer
-\end_layout
-
+int
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\begin_layout Plain Layout
\backslash
-xcancel{
-\backslash
-int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
+xcancel
+\begin_inset space \textvisiblespace{}
+\end_inset
\backslash
-leer
-\end_layout
-
+int
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\begin_layout Plain Layout
\backslash
-cancelto{1
-\begin_inset Formula $\to$
+cancelto
+\begin_inset space \textvisiblespace{}
\end_inset
-\backslash
-{
\backslash
int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
+\begin_inset Formula $\to$
+\end_inset
+
+1
\end_layout
\end_inset
\series default
eignet sich besonders, wenn man das Kürzen innerhalb einer Formel darstellen
will:
-\begin_inset Formula \[
-\frac{\left(x_{0}+bB\right)^{2}}{\left(1+b^{2}\right)^{\cancelto{2}{3}}}=\frac{x_{0}^{2}+B^{2}-r_{g}^{2}}{\cancel{1+b^{2}}}\]
+\begin_inset Formula
+\[
+\frac{\left(x_{0}+bB\right)^{2}}{\left(1+b^{2}\right)^{\cancelto{2}{3}}}=\frac{x_{0}^{2}+B^{2}-r_{g}^{2}}{\cancel{1+b^{2}}}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Um die Größe des
+\begin_inset Quotes gld
+\end_inset
+
+hochgestellten
+\begin_inset Quotes grd
+\end_inset
+
+ Werts von
+\series bold
+
+\backslash
+cancelto
+\series default
+ zu ändern, kann man die LaTeX-Vorspannzeile
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+PassOptionsToPackage{Option}{cancel}
+\end_layout
+
+\begin_layout Standard
+hinzufügen.
+
+\series bold
+Option
+\series default
+ ist entweder
+\series bold
+samesize
+\series default
+, das zur selben Größe wie die der durchgestrichenen Zeichen führt, oder
+
+\series bold
+Smaller
+\series default
+, das zu einer etwas kleineren Größe als die Voreinstellung führt.
+\end_layout
+
+\begin_layout Standard
+Um den Durchstrich zu färben, verwendet man den Befehl
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+renewcommand{
+\backslash
+CancelColor}{
+\backslash
+color{red}}
+\end_layout
+
+\begin_layout Standard
+als TeX-Code.
+
+\series bold
+red
+\series default
+ kann durch eine Farbe der Wahl ersetzt werden.
+\end_layout
+
+\begin_layout Standard
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+renewcommand{
+\backslash
+CancelColor}{
+\backslash
+color{red}}
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula
+\[
+\frac{\left(x_{0}+bB\right)^{2}}{\left(1+b^{2}\right)^{\cancelto{2}{3}}}=\frac{x_{0}^{2}+B^{2}-r_{g}^{2}}{\cancel{1+b^{2}}}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+renewcommand{
+\backslash
+CancelColor}{
+\backslash
+color{black}}
+\end_layout
+
+\end_inset
+
+
+\begin_inset Note Note
+status open
+
+\begin_layout Plain Layout
+Farbe zurücksetzen
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Für weitere Anpassungen siehe die Dokumentation des Pakets
+\series bold
+cancel
+\series default
+,
+\begin_inset CommandInset citation
+LatexCommand cite
+key "cancel"
+
+\end_inset
+
+.
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Pakete ! cancel
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+else
+\end_layout
+
+\end_inset
+
+
+\begin_inset Note Note
+status open
+
+\begin_layout Plain Layout
+Folgendes erscheint im Ausdruck wenn das LaTeX-Paket
+\series bold
+cancel
+\series default
+ nicht installiert ist:
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Das LaTeX-Paket
+\series bold
+cancel
+\series default
+muss installiert sein, um den Rest dieses Abschnitts im Ausdruck zu sehen.
+\end_layout
+
+\begin_layout Standard
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+fi
+\end_layout
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
hyperref
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
texorpdfstring{Teil}{Alternative}
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset OptArg
+\begin_inset Argument 1
status collapsed
\begin_layout Plain Layout
\begin_layout Subsection
Formeln im mehrspaltigen 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
Formeln mit Beschreibung der Variablen
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
besteht aus fünf Spalten, wobei in den ersten beiden die Gleichung, in
der dritten die Matrix und in der letzten die leere TeX-Klammer steht.
-\begin_inset Formula \begin{flalign}
+\begin_inset Formula
+\begin{flalign}
\hspace{30pt}F_{A} & =\rho·V·g & \footnotesize\begin{array}{ll}
\rho & \textrm{Dichte}\\
V & \textrm{Volumen}\\
-g & \textrm{Fallbeschleunigung}\end{array} & & {}\label{eq:innerhalb}\end{flalign}
+g & \textrm{Fallbeschleunigung}
+\end{array} & & {}\label{eq:innerhalb}
+\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
Damit kann man Elementarteilchenreaktionen erstellen:
-\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
Typographische Hinweise
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
Textverarbeitung
\family default
aufgelistet sind.
+ Weitere Regeln sind in
+\begin_inset CommandInset citation
+LatexCommand cite
+key "Checklist"
+
+\end_inset
+
+ zu finden.
\end_layout
\begin_layout Itemize
\end_inset
-: 30
+, egal ob sie sich in einem kursiven Text befinden: 30
\begin_inset space \thinspace{}
\end_inset
\backslash
mathscr
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
-
-\backslash
-{F
+F
\series default
-
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Befehle ! M !
-\backslash
-mathscr
-\end_layout
-
-\end_inset
-
oder über das Menü
\family sans
Einfügen\SpecialChar \menuseparator
Sonderzeichen\SpecialChar \menuseparator
Symbole\SpecialChar \menuseparator
-Buchstabenähnliche
-\begin_inset space ~
-\end_inset
-
-Symbole
+Buchsta\SpecialChar \-
+benähnliche Symbole
\family default
eingefügt werden:
\begin_inset Formula $\mathscr{F}$
\end_inset
-\begin_inset Newline newline
-\end_inset
-
-Um den Befehl
-\series bold
-
-\backslash
-mathscr
-\series default
- benutzen zu können, muss das LaTeX-Paket
-\series bold
-mathrsfs
-\series default
-
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Pakete ! mathrsfs
-\end_layout
-
-\end_inset
-
- mit der LaTeX-Vorspannzeile
-\series bold
-
-\backslash
-usepackage{mathrsfs}
-\series default
- geladen werden.
\end_layout
\begin_layout Standard
\begin_layout Section
Synonyme
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="12" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="12" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
der mathematischen Fähigkeiten von LaTeX
\end_layout
-\begin_layout Bibliography
-\begin_inset CommandInset bibitem
-LatexCommand bibitem
-key "Voss"
-
-\end_inset
-
-LaTeX Tipps- und Tricks-
-\begin_inset CommandInset href
-LatexCommand href
-name "Seite"
-target "http://tug.org/TeXnik/"
-
-\end_inset
-
-
-\end_layout
-
\begin_layout Bibliography
\begin_inset CommandInset bibitem
LatexCommand bibitem
\begin_inset CommandInset href
LatexCommand href
name "Beschreibung"
-target "ftp://ftp.ams.org/pub/tex/doc/amsmath/amsldoc.pdf"
+target "http://mirrors.ctan.org/macros/latex/required/amslatex/math/amsldoc.pdf"
\end_inset
aller über LaTeX-Pakete verfügbare Symbole
\end_layout
+\begin_layout Bibliography
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+key "cancel"
+
+\end_inset
+
+
+\begin_inset CommandInset href
+LatexCommand href
+name "Dokumentation"
+target "http://mirrors.ctan.org/macros/latex/contrib/cancel/cancel.pdf"
+
+\end_inset
+
+ des LaTeX-Pakets
+\series bold
+cancel
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Pakete ! cancel
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
\begin_layout Bibliography
\begin_inset CommandInset bibitem
LatexCommand bibitem
hyperref
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
mhchem
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
mathclap
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
Auflage, Duden Verlag 2001
\end_layout
-\begin_layout Subsubsection*
+\begin_layout Bibliography
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+key "Checklist"
+
+\end_inset
+
+
+\begin_inset CommandInset href
+LatexCommand href
+name "Prüfliste"
+target "http://physics.nist.gov/Document/checklist.pdf"
+
+\end_inset
+
+ für das Rezensieren von Manuskripten
+\end_layout
+
+\begin_layout Standard
\begin_inset Note Note
status collapsed
\begin_inset CommandInset index_print
LatexCommand printindex
+type "idx"
\end_inset
projects / features.git / blobdiff