-#LyX 2.0 created this file. For more info see http://www.lyx.org/
-\lyxformat 413
+#LyX 2.1 created this file. For more info see http://www.lyx.org/
+\lyxformat 474
\begin_document
\begin_header
\textclass scrartcl
\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}
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% Linkfläche für Querverweise vergrößern und automatisch benennen,
\AtBeginDocument{\renewcommand{\ref}[1]{\mbox{\autoref{#1}}}}
\addto\extrasngerman{%
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- \renewcommand{\subsectionautorefname}{Kap.\negthinspace}
- \renewcommand{\subsubsectionautorefname}{Kap.\negthinspace}
+ \renewcommand*{\equationautorefname}[1]{}%
+ \renewcommand{\sectionautorefname}{Kap.\negthinspace}%
+ \renewcommand{\subsectionautorefname}{Kap.\negthinspace}%
+ \renewcommand{\subsubsectionautorefname}{Kap.\negthinspace}%
}
% Makros damit Pakete nicht doppelt geladen werden.
% provides caption formatting
\setkomafont{captionlabel}{\bfseries}
-% benutzt in Kap. 24.5
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-
% enables calculation of values
\usepackage{calc}
\DeclareMathOperator*{\Raute}{\blacklozenge}
\DeclareMathOperator{\sgn}{sgn}
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-
% 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{$\mathsurround =0pt #1{#2}$}}
-
% 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
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+\IfFileExists{undertilde.sty}
+ {\usepackage{undertilde}
+ \setboolean{undertilde}{true}}
+ {\setboolean{undertilde}{false}}
+
% testen ob das Paket eurosym installiert ist
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+\use_package amssymb 2
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Um diese Datei als PDF, PS oder DVI zu exportieren, sollten die LaTeX-Pakete
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und
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- scale 85
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+arg "math-insert \\frac-square"
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Analog zu Brüchen (
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\align center
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<lyxtabular version="3" rows="6" columns="2">
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<row>
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<lyxtabular version="3" rows="2" columns="2">
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<column alignment="center" valignment="top" width="0pt">
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zu finden im Untermenü des Mathe-Werkzeugleistenknopfs
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- filename ../../images/math/space.png
- scale 85
-
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-
+\begin_inset space \textvisiblespace{}
\end_inset
B
\family default
-\begin_inset Graphics
- filename ../../images/dialog-show_mathmatrix.png
- scale 85
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+\begin_inset Info
+type "icon"
+arg "dialog-show mathmatrix"
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oder das Menü
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Um nachträglich Zeilen und Spalten hinzuzufügen oder zu entfernen, kann
man die Mathe-Werkzeugleistenknöpfe
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- scale 85
-
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+type "icon"
+arg "inset-modify tabular append-row"
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,
-\begin_inset Graphics
- filename ../../images/tabular-feature_delete-row.png
- scale 85
-
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+type "icon"
+arg "inset-modify tabular delete-row"
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\end_inset
2
\backslash
pmatrix
-\begin_inset ERT
-status collapsed
-
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-leer
-\end_layout
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\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
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Man beachte, dass verzierte Matrizen die vertikale Ausrichtung ignorieren.
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<column alignment="center" valignment="top" width="0pt">
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\begin_inset Tabular
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-status collapsed
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erklärt.
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-
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Pfeile
\begin_inset Index idx
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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"
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oder mit den Befehlen eingefügt werden, die in den folgenden Unterkapiteln
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
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+<features rotate="0" tabularvalignment="middle">
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<column alignment="center" valignment="top" width="0pt">
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F(a)
\backslash
xleftarrow
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-
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x=a
F(x)
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xrightarrow
-\begin_inset ERT
-status collapsed
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\begin_inset Tabular
<lyxtabular version="3" rows="7" columns="2">
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<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 tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
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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"
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oder mit den Befehlen eingefügt werden, die in den folgenden Unterkapiteln
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
dot
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\end_inset
A
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ddot
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-status collapsed
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A
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dddot
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-status collapsed
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hat
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check
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-status collapsed
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-leer
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acute
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\begin_inset Text
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-
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i
direkt eingegeben werden.
\end_layout
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-\begin_inset Index idx
-status collapsed
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\series bold
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-\backslash
-overset
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\series default
\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
-Befehle ! O !
-\backslash
-overset
+Pakete ! undertilde
\end_layout
\end_inset
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-\series bold
-
-\backslash
-underset
-\series default
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+\begin_inset ERT
status collapsed
\begin_layout Plain Layout
-Befehle ! U !
+
+
\backslash
-underset
+ifundertilde
\end_layout
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-, mit denen man Zeichen über bzw.
- unter einen Operator setzen kann.
- Mit dem Befehl
-\series bold
-\backslash
-sideset
-\series default
-
-\begin_inset Index idx
-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:
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-
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-\series default
-
-\series bold
-davor}{Zeichen
-\series default
-
-\series bold
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+<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">
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-
-\backslash
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- muss immer vor dem zu akzentuierenden Operator stehen.
- Es kann auch mit mehreren Zeichen und sogar mit anderen Operatoren und
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- Will man mit
-\series bold
+\begin_layout Plain Layout
+Befehl
+\end_layout
-\backslash
-sideset
-\series default
- z.
-\begin_inset space \thinspace{}
\end_inset
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+<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
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\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 tabularvalignment="middle">
+<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
\backslash
underset
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\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 tabularvalignment="middle">
-<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 tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="middle" width="6.8cm">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\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 tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
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 tabularvalignment="middle">
+<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 tabularvalignment="middle">
-<column alignment="left" valignment="top" width="0">
-<column alignment="left" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="left" valignment="top">
+<column alignment="left" valignment="top">
<row>
<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text
\end_inset
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
\end_layout
\begin_layout Subsection
\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
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\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
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\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
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\backslash
sqrt
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
B
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
{
\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
verwendet.
\end_layout
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
\begin_layout Subsection
Absatzboxen
\begin_inset CommandInset label
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,
\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\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.
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\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 tabularvalignment="middle">
+<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
^
\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.
-\end_layout
-
-\begin_layout Standard
-Um das zu verhindern, kann man folgendes Makro in den LaTeX-Vorspann einfügen:
-\end_layout
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-def
-\backslash
-clap#1{
-\backslash
-hbox to 0pt{
-\backslash
-hss #1
-\backslash
-hss}}
-\begin_inset Newline newline
-\end_inset
-
-
-\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
+ Um das zu verhindern, kann man den Befehl
\series bold
\backslash
\end_inset
- definiert, der die Breite der Grenze auf 0
+ verwenden, der die Breite seines Inhalts auf 0
\begin_inset space \thinspace{}
\end_inset
pt setzt.
- Das Befehlsschema lautet
-\end_layout
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-mathclap{Grenze}
-\end_layout
-
-\begin_layout Standard
-wobei die Grenze auch aus mehreren Bedingungen bestehen kann.
-\end_layout
+\begin_inset Newline newline
+\end_inset
-\begin_layout Standard
Auf Formel
\begin_inset CommandInset ref
LatexCommand eqref
\end_inset
- angewandt, gibt man also den Befehl
+ angewandt, gibt man den Befehl
\end_layout
\begin_layout Standard
\backslash
sum_
\backslash
-mathclap{
+mathclap
\backslash
substack
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
0<k<1000 Strg+Enter
\end_inset
+\end_layout
+
+\begin_layout Standard
+\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
+adjustlimits
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Befehle ! A !
+\backslash
+adjustlimits
+\end_layout
+
+\end_inset
+
+ 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
+
+
\end_layout
\begin_layout Standard
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
+overset
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Befehle ! O !
+\backslash
+overset
+\end_layout
+
+\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
+
+\end_inset
+
+, mit denen man Zeichen über bzw.
+\begin_inset space \space{}
+\end_inset
+
+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
+sideset
+\series default
+:
+\end_layout
+
+\begin_layout Itemize
+
+\series bold
+
+\backslash
+sideset
+\series default
+ zum Setzen von Zeichen an die Ecken des Operators
+\end_layout
+
+\begin_layout Itemize
+
+\series bold
+
+\backslash
+sidesetn
+\series default
+ zum Setzen von Zeichen vor und/oder nach den Operator (diese Variante entsprich
+t LaTeXs originalem
+\series bold
+
+\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
+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
+
+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
+\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
+Mit
+\series bold
+
+\backslash
+overset
+\series default
+ bzw.
+\begin_inset space \space{}
+\end_inset
+
+
+\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
+
+
+\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
Binäre Operatoren
\begin_inset CommandInset label
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\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.
mathop{Anzeige}
\series default
bzw.
-
+\begin_inset space \space{}
+\end_inset
+
+
\series bold
\backslash
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
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="7" columns="3">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
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
mathfrak
\series bold
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
mathscr
\series bold
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="3">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
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
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.
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\backslash
maltese
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A M-m m
\backslash
Large
-\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
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 Standard
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.
\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
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leistenknöpfe
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-Alle griechischen Buchstaben können auch über den Mathe-Werkzeugleistenknopf
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+\end_inset
+
+ um eine Liste dieser Relationen zu sehen.
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-\begin_inset ERT
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-\begin_inset ERT
-status collapsed
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-\begin_layout Plain Layout
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-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
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-\end_layout
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-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
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->[
alpha][
\backslash
beta]
-\begin_inset ERT
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-
-\begin_layout Plain Layout
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2CO}
ce
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
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-\backslash
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\end_inset
2Na+
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
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+\begin_inset space \textvisiblespace{}
\end_inset
+
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
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+\begin_inset space \textvisiblespace{}
\end_inset
SO4^2-
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
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+\begin_inset space \textvisiblespace{}
\end_inset
-\begin_inset ERT
-status collapsed
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-\backslash
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->
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
Zeilen der Formel eingegeben.
\end_layout
-\begin_layout Standard
-\begin_inset Newpage pagebreak
-\end_inset
-
-
-\end_layout
-
\begin_layout Standard
Zum Erstellen der Beziehungen gibt es folgende Befehle:
\end_layout
\begin_layout Itemize
Wird bei horizontalen Pfeilen zwischen dem ersten und zweiten < bzw.
- > Text eingegeben, erscheint er über dem Pfeil.
+\begin_inset space \space{}
+\end_inset
+
+> 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
\begin_layout Itemize
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
\backslash
CD
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
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+\begin_inset space \textvisiblespace{}
\end_inset
A@>j>>B@>>k>C@=F Strg+Enter
\backslash
CD
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
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CD
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
zu finden ist.
\end_layout
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
\begin_layout Section
Benutzerdefinierte Befehle
\begin_inset CommandInset label
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
A
\backslash
gr
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
B
{
\backslash
int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
{
\backslash
int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
{
\backslash
int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\begin_layout Standard
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="2">
-<features islongtable="true" longtabularalignment="center">
-<column alignment="left" valignment="top" width="0">
+<features rotate="0" islongtable="true" longtabularalignment="center">
+<column alignment="left" valignment="top">
<column alignment="left" valignment="top" width="85col%">
<row interlinespace="2.5mm">
<cell alignment="center" valignment="top" usebox="none">
command-alternatives break-paragraph;math-extern maxima
\end_layout
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
\begin_layout Section
-Tipps
+Verschiedenes
\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
-Tipps
+Verschiedenes
\end_layout
\end_inset
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
-<column alignment="right" valignment="top" width="0">
-<column alignment="left" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="right" valignment="top">
+<column alignment="left" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\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 tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\end_layout
\begin_layout Standard
-Um Formeln oder Formelteile durchzustreichen, muss das LaTeX-Paket
-\series bold
-cancel
-\series default
-
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Pakete ! cancel
-\end_layout
-
-\end_inset
-
- mit der LaTeX-Vorspannzeile
-\end_layout
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-usepackage{cancel}
-\end_layout
-
-\begin_layout Standard
-geladen werden.
+Es gibt vier verschiedene Arten Formeln oder Formelteile durchzustreichen:
\end_layout
\begin_layout Standard
\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 tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\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
-
-
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-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
+\begin_inset Formula $\to$
+\end_inset
+
+1
\end_layout
\end_inset
\backslash
cancelto
\series default
- zu ändern, kann man das Paket
+ zu ändern, kann man die LaTeX-Vorspannzeile
+\end_layout
+
+\begin_layout Standard
+
\series bold
-cancel
+
+\backslash
+PassOptionsToPackage{Option}{cancel}
+\end_layout
+
+\begin_layout Standard
+hinzufügen.
+
+\series bold
+Option
\series default
- entweder mit der Option
+ ist entweder
\series bold
samesize
\series default
-, die zur selben Größe wie die der durchgestrichenen Zeichen führt, oder
- mit der Option
+, das zur selben Größe wie die der durchgestrichenen Zeichen führt, oder
+
\series bold
Smaller
\series default
-, die zu einer etwas kleineren Größe führt als es ohne Option der Fall ist.
- In diesem Dokument wurde
-\series bold
-cancel
-\series default
- mit der Zeile
-\end_layout
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-usepackage[samesize]{cancel}
+, das zu einer etwas kleineren Größe als die Voreinstellung führt.
\end_layout
\begin_layout Standard
-geladen.
- Um den Durchstrich zu färben, verwendet man den Befehl
+Um den Durchstrich zu färben, verwendet man den Befehl
\end_layout
\begin_layout Standard
\end_inset
.
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Pakete ! cancel
+\end_layout
+
+\end_inset
+
+
\end_layout
\begin_layout Standard
\end_inset
-\begin_inset Argument
+\begin_inset Argument 1
status collapsed
\begin_layout Plain Layout
\backslash
mathscr
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
F
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 $\mathscr{F}$
\begin_inset Tabular
<lyxtabular version="3" rows="12" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="12" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\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
projects / features.git / blobdiff