-#LyX 2.0.0svn created this file. For more info see http://www.lyx.org/
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+#LyX 2.1 created this file. For more info see http://www.lyx.org/
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\begin_header
\textclass scrartcl
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\renewcommand{\l@subsubsection}{\@dottedtocline{3}{4.3em}{3.6em}}
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-% siehe Kap. 22.11
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% Makros damit Pakete nicht doppelt geladen werden.
% siehe erste Fußnote in Kap. 9.3
% provides caption formatting
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-% 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)
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-
% 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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% testen ob das Paket eurosym installiert ist
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-
-
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-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
overline
-\begin_inset ERT
-status collapsed
-
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-
-
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-leer
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A+B
\backslash
underline
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
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\end_inset
A+B
\backslash
overline
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
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\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
\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
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
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A_1
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
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,
\backslash
dots
-\begin_inset ERT
-status collapsed
-
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-
-
-\backslash
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-
+\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
-
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\backslash
dots
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
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+A_n
\begin_layout Plain Layout
A_1
-\begin_inset ERT
-status collapsed
-
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-
-
-\backslash
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-\end_layout
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,
\backslash
ldots
-\begin_inset ERT
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-
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-
-
-\backslash
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+\begin_inset space \textvisiblespace{}
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,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_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
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+\begin_inset space \textvisiblespace{}
\end_inset
+A_n
\end_layout
\begin_layout Standard
-
-\lang english
\begin_inset VSpace medskip
\end_inset
-
-\lang ngerman
Um
\series bold
dots
\series default
zu erhalten:
-\begin_inset Formula \[
+\begin_inset Formula
+\[
\left(\begin{array}{cccc}
A & B & C & D\\
\hdotsfor[2]{4}\\
q & w & e & r
-\end{array}\right)\]
+\end{array}\right)
+\]
\end_inset
A
\backslash
dotfill
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
B
\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
\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 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
bmatrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
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+\begin_inset space \textvisiblespace{}
\end_inset
2
\backslash
Bmatrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
2
\backslash
pmatrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
2
\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
vmatrix
-\begin_inset ERT
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-
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-
-
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-leer
-\end_layout
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\end_inset
2
\backslash
Vmatrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
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2
\backslash
matrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
2
in einer Textzeile.
\end_layout
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-\begin_inset Newpage newpage
-\end_inset
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-
-\end_layout
-
\begin_layout Section
Klammern und Begrenzungszeichen
\begin_inset Index idx
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
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+<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
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-
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-
-
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C
ln(3x)
\backslash
big}^2
-\begin_inset ERT
-status collapsed
-
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-
-
-\backslash
-leer
-\end_layout
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sin(x)
\backslash
Big]^
-\begin_inset ERT
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-
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-leer
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\end_inset
A
-\begin_inset ERT
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-
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-
-
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\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="middle" width="0">
-<column alignment="center" valignment="middle" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="middle">
+<column alignment="center" valignment="middle">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
ln(3x)
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bigm)^2
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-
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-
-
-\backslash
-leer
-\end_layout
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+\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
\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
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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
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\end_inset
A
left.
\backslash
frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
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-\backslash
-leer
-\end_layout
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\end_inset
A
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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
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
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
overbrace
-\begin_inset ERT
-status collapsed
-
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-
-
-\backslash
-leer
-\end_layout
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+\begin_inset space \textvisiblespace{}
\end_inset
A+B
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
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\end_inset
^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
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\end_inset
3
\backslash
underbrace
-\begin_inset ERT
-status collapsed
-
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-
-
-\backslash
-leer
-\end_layout
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\end_inset
A+B
-\begin_inset ERT
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-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
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_5
\backslash
overbrace
-\begin_inset ERT
-status collapsed
-
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-
-
-\backslash
-leer
-\end_layout
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+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
underbrace
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
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+\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
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\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
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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
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*}
\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*}
\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_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>
\begin_inset VSpace medskip
\end_inset
-Als Akzent verwendete Pfeile, wie z.
+Als Akzente verwendete Pfeile, wie z.
\begin_inset space \thinspace{}
\end_inset
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
F(a)
\backslash
xleftarrow
-\begin_inset ERT
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-
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-leer
-\end_layout
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F(x)
\backslash
xrightarrow
-\begin_inset ERT
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-\end_layout
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x=a
\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>
\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
\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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-
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-
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-leer
-\end_layout
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\end_inset
A
\backslash
ddot
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-leer
-\end_layout
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A
\backslash
dddot
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-
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-
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-leer
-\end_layout
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\backslash
ddddot
-\begin_inset ERT
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-\end_layout
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\backslash
vec
-\begin_inset ERT
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bar
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-leer
-\end_layout
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A
\backslash
mathring
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-
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-
-\backslash
-leer
-\end_layout
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A
\begin_inset Tabular
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<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
tilde
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A
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hat
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A
\backslash
check
-\begin_inset ERT
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-
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acute
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grave
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\backslash
breve
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-
-
-\backslash
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-\end_layout
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A
\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
\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 idx
-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 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 idx
+\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 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:
-\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
\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
\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
\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
\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
\end_inset
-\begin_inset Formula \[
-\boxed{A+B=C}\]
+\begin_inset Formula
+\[
+\boxed{A+B=C}
+\]
\end_inset
\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
\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
\end_inset
-\begin_inset Formula \[
-\fcolorbox{cyan}{magenta}{A=B}\]
+\begin_inset Formula
+\[
+\fcolorbox{cyan}{magenta}{A=B}
+\]
\end_inset
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
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,
\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
\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_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
\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
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}
+\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 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
+sideset
+\series default
+ zum Setzen von Zeichen an die Ecken des Operators
+\end_layout
+
+\begin_layout Itemize
+
+\series bold
+
\backslash
-mathclap{
+sidesetn
+\series default
+ zum Setzen von Zeichen vor und/oder nach den Operator (diese Variante entsprich
+t LaTeXs originalem
+\series bold
+
\backslash
-substack
-\begin_inset ERT
-status collapsed
+sideset
+\series default
+ Befehl)
+\end_layout
-\begin_layout Plain 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
\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.
\end_inset
besteht:
-\begin_inset Formula \[
-\Raute_{n=1}^{\infty}\]
+\begin_inset Formula
+\[
+\Raute_{n=1}^{\infty}
+\]
\end_inset
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
\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
\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_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
\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
\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
\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
ein.
\end_layout
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
\begin_layout Standard
Innerhalb einer Formel kann die Größe mit den folgenden Größenbefehlen geändert
werden:
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\end_inset
-\begin_inset Formula \[
-A=\frac{B}{c}\cdot\maltese\]
+\begin_inset Formula
+\[
+A=\frac{B}{c}\cdot\maltese
+\]
\end_inset
-\begin_inset Formula \[
-\maltese A\textrm{\Large\maltese\textit{A}}\textrm{\tiny\maltese\textit{A}}\]
+\begin_inset Formula
+\[
+\maltese A\textrm{\Large\maltese\textit{A}}\textrm{\tiny\maltese\textit{A}}
+\]
\end_inset
\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
immer in der Standardgröße dargestellt.
\end_layout
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
\begin_layout Section
Griechische Buchstaben
\begin_inset Index idx
\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
\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="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="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 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_inset Tabular
<lyxtabular version="3" rows="7" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\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>
\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 idx
\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
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.
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\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 tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset 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
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="3">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\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 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="17" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="17" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
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
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
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
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
approx
-\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
B
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="4">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="4">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\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
\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>
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 idx
\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
+\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
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
-<column alignment="block" valignment="top" width="0">
-<column alignment="block" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="block" valignment="top">
+<column alignment="block" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
-<column alignment="block" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="block" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\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
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\end_inset
`
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
-<column alignment="block" valignment="top" width="0">
-<column alignment="block" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="block" valignment="top">
+<column alignment="block" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\backslash
^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
e
\backslash
u
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
e
\backslash
b
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
e
\backslash
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 tabularvalignment="middle">
-<column alignment="block" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="block" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\backslash
H
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
e
\backslash
v
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
e
\backslash
d
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
e
\backslash
c
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
e
\backslash
t
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
sz
\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
\end_layout
-\begin_layout Subsection
-Sonstige Sonderzeichen
-\begin_inset CommandInset label
-LatexCommand label
-name "sub:Sonstige-Sonderzeichen"
-
-\end_inset
-
-
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-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
-<lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-Befehl
-\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
-^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $\mathcircumflex$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-
-\backslash
-_
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $\_$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
-\end_inset
-
-
-\backslash
-circ
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-
-\backslash
-@°
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $^{\circ}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-</lyxtabular>
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-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
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
\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*}
\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*}
\end_inset
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
A & = & B\\
C & \ne & A
\end{eqnarray*}
\end_inset
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
A & = & B\\
C & \ne & A
\end{eqnarray*}
\end_inset
-\end_layout
-
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
\end_layout
\begin_layout Subsubsection
\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}
.
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}
\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*}
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
\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*}
\end_inset
bzw.
-\begin_inset space ~
+\begin_inset space \space{}
\end_inset
\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*}
\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*}
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*}
\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
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
\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}
\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_inset
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
\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}}
umgebungen.
Man kann jedoch zusätzlich weitere Formelteile daneben setzen.
Dazu ein Beispiel:
-\begin_inset Formula \[
+\begin_inset Formula
+\[
\left.\begin{aligned}\Delta x\Delta p & \ge\frac{\hbar}{2}\\
\Delta E\Delta t & \ge\frac{\hbar}{2}
\end{aligned}
-\right\} \textrm{Unbestimmtheitsrelationen}\]
+\right\} \textrm{Unbestimmtheitsrelationen}
+\]
\end_inset
\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}
\end_inset
bzw.
-
+\begin_inset space \space{}
+\end_inset
+
+
\series bold
\backslash
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}
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 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
\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_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
\end_inset
-\begin_inset Formula \begin{equation}
-A+B=C\end{equation}
+\begin_inset Formula
+\begin{equation}
+A+B=C
+\end{equation}
\end_inset
\begin_layout Plain Layout
\series bold
+\color none
Achtung:
\series default
- Es können nur maximal 26 Formeln in einem Dokument mit lateinischen Buchstaben
- nummeriert werden.
+ Es können nur maximal 26
+\begin_inset space ~
+\end_inset
+
+Formeln in einem Dokument mit lateinischen Buchstaben nummeriert werden.
\end_layout
\end_inset
\end_layout
\begin_layout Standard
-\begin_inset Formula \begin{equation}
-A=\textrm{römisch}\end{equation}
+\begin_inset Formula
+\begin{equation}
+A=\textrm{römisch}
+\end{equation}
\end_inset
\end_inset
-\begin_inset Formula \begin{equation}
-B=\textrm{Römisch}\label{eq:Roem}\end{equation}
+\begin_inset Formula
+\begin{equation}
+B=\textrm{Römisch}\label{eq:Roem}
+\end{equation}
\end_inset
\end_inset
-\begin_inset Formula \begin{equation}
-C=\textrm{lateinisch}\end{equation}
+\begin_inset Formula
+\begin{equation}
+C=\textrm{lateinisch}
+\end{equation}
\end_inset
\end_inset
-\begin_inset Formula \begin{equation}
-D=\textrm{Lateinisch}\label{eq:Lat}\end{equation}
+\begin_inset Formula
+\begin{equation}
+D=\textrm{Lateinisch}\label{eq:Lat}
+\end{equation}
\end_inset
\end_inset
-\begin_inset Formula \begin{equation}
-E=\textrm{arabisch}\end{equation}
+\begin_inset Formula
+\begin{equation}
+E=\textrm{arabisch}
+\end{equation}
\end_inset
.
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
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\backslash
ce
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
H2CO3
\backslash
ce
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
SO4^2-
\backslash
ce
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
(NH4)2S
\backslash
ce
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
KCr(SO4)2.12H2O
\backslash
ce
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A-B
\backslash
dbond
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
C
\backslash
tbond
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
D
\backslash
ce
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
^227
\backslash
ce
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
CO2
-\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
-\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
2CO
\backslash
ce
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
CO2
-\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
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
->[
alpha][
\backslash
beta]
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
2CO}
\begin_layout Plain Layout
\series bold
+\color none
Achtung:
\series default
Wenn eine Formel in eine
\end_inset
B.
- für
+ für
+\begin_inset Newline newline
+\end_inset
+
+
\series bold
\backslash
\end_inset
+\end_layout
+
+\begin_layout Standard
+\begin_inset Note Greyedout
+status open
+
+\begin_layout Plain Layout
+
+\series bold
+\color none
+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
+uparrow
+\series default
+:
+\begin_inset Newline newline
+\end_inset
+
+
+\begin_inset Formula $\ce{Fe + 2H+ -> Fe^{2+} + H2\negthinspace\uparrow}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
\end_layout
\begin_layout Standard
ce
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
2Na+
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
+
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
SO4^2-
\series default
-\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
->
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
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}
\begin_layout Standard
Diagramme dieses Typs stellen Beziehungen mittels horizontaler und vertikaler
Linien oder Pfeilen dar:
-\begin_inset Formula \[
+\begin_inset Formula
+\[
\begin{CD}A@>>>B@>>>C\\
@AAA@.@VVV\\
F@<<<E@<<<D
-\end{CD}\]
+\end{CD}
+\]
\end_inset
\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
\end_layout
\begin_layout Standard
-\begin_inset Formula \[
+\begin_inset Formula
+\[
\begin{CD}A@>j>>B@>>k>C@=F\\
@AmAA@.@VV{V}V@|\\
D@<<j<E@>k>>F@=C
-\end{CD}\]
+\end{CD}
+\]
\end_inset
\backslash
CD
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer
-\end_layout
-
+\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
-
-
-\backslash
-leer
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
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
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
+\[
+\lambda_{1,2}=-\frac{p}{2}\pm\sqrt{\frac{p²}{4}-q}
+\]
\end_inset
\end_inset
-\lang english
-
\begin_inset space \hspace*{\fill}
\end_inset
-\lang ngerman
-
\begin_inset Graphics
filename ../clipart/macrobox.png
\end_inset
-\lang english
-
\begin_inset space \hspace*{\fill}
\end_inset
-\lang ngerman
-
\begin_inset Newline newline
\end_inset
.
Argumentplatzhalter werden rot dargestellt.
- Es sind maximal 9 Argumente möglich.
+ Es sind maximal 9
+\begin_inset space ~
+\end_inset
+
+Argumente möglich.
Optionale Argumente werden mit dem Werkzeugleistenknopf
\begin_inset Graphics
filename ../../images/math-macro-add-optional-param.png
\end_inset
-\lang english
-
\begin_inset space \hspace*{\fill}
\end_inset
-\lang ngerman
-
\begin_inset Graphics
filename ../clipart/macrouse.png
\end_inset
-\lang english
-
\begin_inset space \hspace*{\fill}
\end_inset
-\lang ngerman
-
\begin_inset Newline newline
\end_inset
\end_layout
\begin_layout Standard
-\begin_inset Formula \[
-\qG x{\ln(x)}B\]
+\begin_inset Formula
+\[
+\qG x{\ln(x)}B
+\]
\end_inset
\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">
\end_layout
+\begin_layout Section
+Computeralgebrasysteme
+\end_layout
+
\begin_layout Standard
-\begin_inset Newpage newpage
+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
+
+\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 Quotes grd
+\end_inset
+
+ Operator erscheinen.
+\end_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
+
+
+\end_layout
+
+\begin_layout Itemize
+\begin_inset Formula $\frac{37.0}{3}=12.33333333333333$
+\end_inset
+
+
+\end_layout
+
+\begin_layout Itemize
+\begin_inset Formula $\int_{1}^{2}\sin(x)dx=\cos1-\cos2$
+\end_inset
+
+
+\end_layout
+
+\begin_layout Itemize
+\begin_inset Formula $\det\left[\begin{array}{ccc}
+1 & 6 & 7\\
+2 & 5 & 8\\
+3 & 4 & 17
+\end{array}\right]=-56$
+\end_inset
+
+
+\end_layout
+
+\begin_layout Itemize
+\begin_inset Formula $\lim_{x\rightarrow0}\left(\frac{\sin(x)}{x}\right)=1$
\end_inset
\end_layout
+\begin_layout Subsection
+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
+
+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 Standard
+
+\series bold
+command-alternatives break-paragraph;math-extern maxima
+\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
\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
\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 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*}
\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[samesize]{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
-
-
-\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_inset
-\begin_inset Argument
+\begin_inset Argument 1
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
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}
+\end{array} & & {}\label{eq:innerhalb}
+\end{flalign}
\end_inset
\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
\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>
\end_layout
\begin_layout Bibliography
-\labelwidthstring Referenzen
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "TLC2"
\end_layout
\begin_layout Bibliography
-\labelwidthstring Referenzen
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "Mathmode"
\end_layout
\begin_layout Bibliography
-\labelwidthstring Referenzen
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "AMS"
\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
\end_layout
\begin_layout Bibliography
-\labelwidthstring Referenzen
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "Symbole"
\end_layout
\begin_layout Bibliography
-\labelwidthstring Referenzen
+\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
key "hyperref"
\end_layout
\begin_layout Bibliography
-\labelwidthstring Referenzen
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "mhchem"
\end_layout
\begin_layout Bibliography
-\labelwidthstring Referenzen
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "Mathclap"
\end_layout
\begin_layout Bibliography
-\labelwidthstring Referenzen
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "Duden"
\end_layout
\begin_layout Bibliography
-\labelwidthstring Referenzen
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "Checklist"
projects / features.git / blobdiff