-#LyX 1.6.0beta3 created this file. For more info see http://www.lyx.org/
-\lyxformat 335
+#LyX 1.6.0svn created this file. For more info see http://www.lyx.org/
+\lyxformat 338
\begin_document
\begin_header
\textclass scrartcl
\DeclareInputText{183}{\ifmmode\cdot\else\textperiodcentered\fi}
% Linkfläche für Querverweise vergrößern und automatisch benennen,
-% siehe Kap. 22.18.1
\AtBeginDocument{\renewcommand{\ref}[1]{\mbox{\autoref{#1}}}}
-\renewcommand{\sectionautorefname}{Kap.\negthinspace}
-\renewcommand{\subsectionautorefname}{Kap.\negthinspace}
-\renewcommand{\subsubsectionautorefname}{Kap.\negthinspace}
\newlength{\abc}
\settowidth{\abc}{\space}
-\renewcommand{\equationautorefname}{\hspace{-\abc}}
+\addto\extrasngerman{
+ \renewcommand{\equationautorefname}{\hspace{-\abc}}
+ \renewcommand{\sectionautorefname}{Kap.\negthinspace}
+ \renewcommand{\subsectionautorefname}{Kap.\negthinspace}
+ \renewcommand{\subsubsectionautorefname}{Kap.\negthinspace}}
% Makros damit Pakete nicht doppelt geladen werden.
% siehe erste Fußnote in Kap. 9.3
\@ifundefined{textcolor}{\usepackage{color}}{}
-% damit die Seiten des Inhaltsverzeichnisses römisch
-% nummeriert werden und damit das Inhaltsverzeichnis
-% ein eigenes pdf-Lesezeichen erhält
-\pagenumbering{Roman}
+% Die Seiten des Inhaltsverzeichnisses werden römisch numeriert,
+% ein PDF-Lesezeichen für das Inhaltsverzeichnis wird hinzugefügt
+\pagenumbering{roman}
\let\myTOC\tableofcontents
\renewcommand{\tableofcontents}{%
\vspace{1cm}
- \pdfbookmark[1]{Inhaltsverzeichnis}{}
+ \pdfbookmark[1]{\contentsname}{}
\myTOC
\cleardoublepage
\pagenumbering{arabic}}
% Damit die Fußnoten einen zusätzlichen vertikalen Abstand von 1,5 mm haben,
-% siehe Kap. 22.16
\let\myFoot\footnote
\renewcommand{\footnote}[1]{\myFoot{#1\vspace{1.5mm}}}
\usepackage{multirow}
\usepackage{multicol}
-% für Diagramme
-\usepackage{amscd}
-
% benutzt in Kap. 19.4
\usepackage{remreset}
{\renewcommand{\indexname}
{Stichwort- und Befehlsverzeichnis}}
+% ------------------------------------
+% used to check for needed LaTeX packages
+\usepackage{ifthen}
+
% testen ob das Paket eurosym installiert ist
% wird benutzt für das Euro-Symbol
\newboolean{eurosym}
\font_osf false
\font_sf_scale 100
\font_tt_scale 100
+
\graphics default
\paperfontsize 12
\spacing single
status collapsed
\begin_layout Plain Layout
-T@
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-{
-\end_layout
-
-\end_inset
-
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\end_inset
-
-TeX-Modus
+T@TeX-Modus
\end_layout
\end_inset
oder das Menü
\family sans
Einfügen\SpecialChar \menuseparator
-T
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-{
-\end_layout
-
-\end_inset
-
-e
+Te
\begin_inset ERT
status collapsed
\begin_layout Plain Layout
-}
+{}
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
-Um zu verhindern, dass diese Wörter als Eigennamen erkannt werden, setzt
- man einen der Buchstaben in TeX-Klammern.
+Um zu verhindern, dass diese Wörter als Eigennamen erkannt werden, fügt
+ man ein TeX-Klammerpaar ein.
\end_layout
\end_inset
\family sans
Dokument\SpecialChar \menuseparator
Einstellungen\SpecialChar \menuseparator
-La
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-{
-\end_layout
-
-\end_inset
-
-T
+LaT
\begin_inset ERT
status collapsed
\begin_layout Plain Layout
-}
+{}
\end_layout
\end_inset
status collapsed
\begin_layout Plain Layout
-T@
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-{
-\end_layout
-
-\end_inset
-
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\end_inset
-
-TeX-Klammern
+T@TeX-Klammern
\end_layout
\end_inset
\end_layout
\begin_layout Subsection*
-Verwendete Einheiten
+Verfügbare Einheiten
\end_layout
\begin_layout Standard
\begin_layout Plain Layout
\begin_inset CommandInset label
LatexCommand label
-name "tab:Verwendete-Einheiten"
+name "tab:Verfügbare-Einheiten"
\end_inset
-Verwendete Einheiten
+Verfügbare Einheiten
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}B^{V}$
+\begin_inset Formula $\raisebox{5mm}{}B^{V}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}B^{A}$
+\begin_inset Formula $\raisebox{5mm}{}B^{A}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {4.5mm}{}\frac{A}{B}\raisebox {-2.5mm}{}$
+\begin_inset Formula $\raisebox{4.5mm}{}\frac{A}{B}\raisebox{-2.5mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {7mm}{}\dfrac{A}{B}\raisebox {-4mm}{}$
+\begin_inset Formula $\raisebox{7mm}{}\dfrac{A}{B}\raisebox{-4mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {8mm}{}\dfrac{e^{\frac{1}{2}}}{3}\raisebox {-4mm}{}$
+\begin_inset Formula $\raisebox{8mm}{}\dfrac{e^{\frac{1}{2}}}{3}\raisebox{-4mm}{}$
\end_inset
\begin_layout Standard
\begin_inset Formula \begin{align*}
-\textrm{mit \textbf{\textbackslash frac} erstellt} & & \textrm{mit \textbf{\textbackslash cfrac} erstellt}\\
-\frac{A}{B+\frac{C+\frac{E}{F}}{D}} & & \cfrac {A}{B+\cfrac {C+\cfrac {E}{F}}{D}}\end{align*}
+\textrm{mit \textbf{\textbackslash frac} erstellt} & & \textrm{mit \textbf{\textbackslash cfrac} erstellt}\\
+\frac{A}{B+\frac{C+\frac{E}{F}}{D}} & & \cfrac{A}{B+\cfrac{C+\cfrac{E}{F}}{D}}\end{align*}
\end_inset
\series bold
-\begin_inset Formula $\cfrac [l]{A}{B+C}$
+\begin_inset Formula $\cfrac[l]{A}{B+C}$
\end_inset
,
-\begin_inset Formula $\cfrac {A}{B+C}$
+\begin_inset Formula $\cfrac{A}{B+C}$
\end_inset
,
-\begin_inset Formula $\cfrac [r]{A}{B+C}$
+\begin_inset Formula $\cfrac[r]{A}{B+C}$
\end_inset
\series default
zu kombinieren:
\begin_inset Formula \[
-\cfrac {A}{B+\cfrac {C+\frac{E}{F}}{D}}\]
+\cfrac{A}{B+\cfrac{C+\frac{E}{F}}{D}}\]
\end_inset
\backslash
nicefrac
+\series default
+
\begin_inset Index
status collapsed
\end_inset
+:
+\begin_inset Formula $\nicefrac{5}{31}$
+\end_inset
+
+ oder
+\series bold
+\backslash
+unitfrac
\series default
- benutzt werden:
-\begin_inset Formula $\nicefrac{5}{31}$
+
+\begin_inset Index
+status collapsed
+
+\begin_layout Plain Layout
+Befehle! U !
+\backslash
+unitfrac
+\end_layout
+
+\end_inset
+
+:
+\begin_inset Formula $\unitfrac{5}{31}$
\end_inset
+ benutzt werden.
+ Des Weiteren gibt es den Befehl
+\series bold
+\backslash
+unitfracthree
+\series default
+ mit dem man einen Bruch in Kombination mit einer Zahl setzen kann:
+\begin_inset Formula $\unitfrac[2]{1}{3}$
+\end_inset
+
+
+\begin_inset Newline newline
+\end_inset
+
+Zu beachten ist, dass
+\series bold
+
+\backslash
+unitfracthree
+\series default
+ kein echter LaTeX-Befehl, sondern der Befehl
+\begin_inset Newline newline
+\end_inset
+
+
+\series bold
+
+\backslash
+unitfrac[Zahl]{Zähler}{Nenner}
+\series default
+ ist, daher kann man ihn nicht im TeX-Code benutzen.
\end_layout
\begin_layout Standard
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {4.5mm}{}\sqrt{A-B}$
+\begin_inset Formula $\raisebox{4.5mm}{}\sqrt{A-B}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {4.5mm}{}\sqrt[3]{A-B}$
+\begin_inset Formula $\raisebox{4.5mm}{}\sqrt[3]{A-B}$
\end_inset
\series default
eine korrekt gesetzte Formel:
-\begin_inset Formula $\sqrt[\leftroot {-1}\uproot {2}\beta]{B}$
+\begin_inset Formula $\sqrt[\leftroot{-1}\uproot{2}\beta]{B}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}\binom{A}{B}\raisebox {-2.5mm}{}$
+\begin_inset Formula $\raisebox{5mm}{}\binom{A}{B}\raisebox{-2.5mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}\dbinom{A}{B}\raisebox {-2.5mm}{}$
+\begin_inset Formula $\raisebox{5mm}{}\dbinom{A}{B}\raisebox{-2.5mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}\tbinom{A}{B}\raisebox {-2.5mm}{}$
+\begin_inset Formula $\raisebox{5mm}{}\tbinom{A}{B}\raisebox{-2.5mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}{A \brack B}\raisebox {-2.5mm}{}$
+\begin_inset Formula $\raisebox{5mm}{}{A \brack B}\raisebox{-2.5mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}{A \brace B}\raisebox {-2.5mm}{}$
+\begin_inset Formula $\raisebox{5mm}{}{A \brace B}\raisebox{-2.5mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $_{9}^{19}\mathrm{F}\raisebox {-3mm}{}$
+\begin_inset Formula $_{9}^{19}\mathrm{F}\raisebox{-3mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {4.5mm}{}{}_{\phantom{1}9}^{19}\mathrm{F}\raisebox {-2.5mm}{}$
+\begin_inset Formula $\raisebox{4.5mm}{}{}_{\phantom{1}9}^{19}\mathrm{F}\raisebox{-2.5mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {4.5mm}{}{}_{\phantom{23}9}^{235}\mathrm{F}\raisebox {-2.5mm}{}$
+\begin_inset Formula $\raisebox{4.5mm}{}{}_{\phantom{23}9}^{235}\mathrm{F}\raisebox{-2.5mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {4.5mm}{}\Lambda_{MMt}^{\phantom{ii}t}\raisebox {-2.5mm}{}$
+\begin_inset Formula $\raisebox{4.5mm}{}\Lambda_{MMt}^{\phantom{ii}t}\raisebox{-2.5mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}\overline{A+B}$
+\begin_inset Formula $\raisebox{5mm}{}\overline{A+B}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\underline{A+B}\raisebox {-2.5mm}{}$
+\begin_inset Formula $\underline{A+B}\raisebox{-2.5mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}\overline{\underline{A+B}}\raisebox {-2.5mm}{}$
+\begin_inset Formula $\raisebox{5mm}{}\overline{\underline{A+B}}\raisebox{-2.5mm}{}$
\end_inset
Man kann bis zu 6 Striche über oder unter Zeichen setzen.
\end_layout
+\begin_layout Standard
+\begin_inset VSpace bigskip
+\end_inset
+
+Benutzerdefinierte Linien können mit dem Befehl
+\series bold
+
+\backslash
+rule
+\series default
+
+\begin_inset Index
+status collapsed
+
+\begin_layout Plain Layout
+Befehle! R !
+\backslash
+rule
+\end_layout
+
+\end_inset
+
+ erstellt werden, der folgendes Schema besitzt:
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+rule[vertikaler Versatz]{Länge}{Dicke}
+\end_layout
+
+\begin_layout Standard
+Der optionale vertikale Versatz verschiebt die Linie nach oben (oder nach
+ unten, wenn der Wert negativ ist).
+ Die Einheiten, die in
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "tab:Verfügbare-Einheiten"
+
+\end_inset
+
+ aufgelistet sind, können für die Werte benutzt werden.
+ Hier sind zwei Beispiele, die mit den Befehlen
+\begin_inset Newline newline
+\end_inset
+
+
+\series bold
+
+\backslash
+rule[-2ex]{3cm}{2pt}
+\series default
+ und
+\series bold
+
+\backslash
+rule{2cm}{1pt}
+\series default
+ erzeugt wurden:
+\end_layout
+
+\begin_layout Standard
+Dies ist ein Satz
+\begin_inset Formula $\rule[-2ex]{3cm}{2pt}\rule{2cm}{1pt}$
+\end_inset
+
+ mit zwei Linien.
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+rule
+\series default
+ kann auch für Text verwendet werden, wenn er als TeX-Code eingegeben wird.
+\end_layout
+
\begin_layout Subsection
Fortsetzungspunkte
+\begin_inset CommandInset label
+LatexCommand label
+name "sub:Fortsetzungspunkte"
+
+\end_inset
+
+
\begin_inset Index
status collapsed
, entscheidet LaTeX anhand des nachfolgenden Zeichens, welche Punktart verwendet
wird.
-\begin_inset Newpage newpage
-\end_inset
-
-
\end_layout
\begin_layout Standard
\begin_inset Formula \[
\left(\begin{array}{cccc}
A & B & C & D\\
-\hdotsfor [2]{4}\\
+\hdotsfor[2]{4}\\
q & w & e & r\end{array}\right)\]
\end_inset
\end_layout
\begin_layout Standard
-\begin_inset Formula $A\dotfill B$
+\begin_inset Formula $A\dotfill B$
\end_inset
\end_layout
\begin_layout Standard
-\begin_inset Formula $A\hrulefill B$
+\begin_inset Formula $A\hrulefill B$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {7.5mm}{}\begin{bmatrix}\begin{array}{cc}
+\begin_inset Formula $\raisebox{7.5mm}{}\begin{bmatrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{bmatrix}\raisebox {-5.3mm}{}$
+\mathrm{i} & 0\end{array}\end{bmatrix}\raisebox{-5.3mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {7.5mm}{}\begin{Bmatrix}\begin{array}{cc}
+\begin_inset Formula $\raisebox{7.5mm}{}\begin{Bmatrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{Bmatrix}\raisebox {-5.3mm}{}$
+\mathrm{i} & 0\end{array}\end{Bmatrix}\raisebox{-5.3mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {7.5mm}{}\begin{pmatrix}\begin{array}{cc}
+\begin_inset Formula $\raisebox{7.5mm}{}\begin{pmatrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{pmatrix}\raisebox {-5.3mm}{}$
+\mathrm{i} & 0\end{array}\end{pmatrix}\raisebox{-5.3mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {7.5mm}{}\begin{vmatrix}\begin{array}{cc}
+\begin_inset Formula $\raisebox{7.5mm}{}\begin{vmatrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{vmatrix}\raisebox {-5.3mm}{}$
+\mathrm{i} & 0\end{array}\end{vmatrix}\raisebox{-5.3mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {7.5mm}{}\begin{Vmatrix}\begin{array}{cc}
+\begin_inset Formula $\raisebox{7.5mm}{}\begin{Vmatrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{Vmatrix}\raisebox {-5.3mm}{}$
+\mathrm{i} & 0\end{array}\end{Vmatrix}\raisebox{-5.3mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {7.5mm}{}\begin{matrix}\begin{array}{cc}
+\begin_inset Formula $\raisebox{7.5mm}{}\begin{matrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{matrix}\raisebox {-5.3mm}{}$
+\mathrm{i} & 0\end{array}\end{matrix}\raisebox{-5.3mm}{}$
\end_inset
in einer Textzeile.
\end_layout
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
\begin_layout Section
Klammern und Begrenzungszeichen
\begin_inset Index
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $((A+B)(A-B))^{C}\raisebox {-4mm}{}$
+\begin_inset Formula $((A+B)(A-B))^{C}\raisebox{-4mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\Big ((A+B)(A-B)\Big )^{C}$
+\begin_inset Formula $\Big((A+B)(A-B)\Big)^{C}$
\end_inset
\begin_layout Standard
\align center
-\begin_inset Formula $\Bigg (\exp\bigg <\Big [\big \{\ln(3x)\big \}^{2}\sin(x)\Big ]^{A}\bigg >\Bigg )^{0,5}$
+\begin_inset Formula $\Bigg(\exp\bigg<\Big[\big\{\ln(3x)\big\}^{2}\sin(x)\Big]^{A}\bigg>\Bigg)^{0,5}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5.5mm}{}\Bigm(\bigm(\ln(3x)\bigm)^{2}\Bigm)\raisebox {-3.25mm}{}$
+\begin_inset Formula $\raisebox{5.5mm}{}\Bigm(\bigm(\ln(3x)\bigm)^{2}\Bigm)\raisebox{-3.25mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5.5mm}{}\Big (\big (\ln(3x)\big )^{2}\Big )\raisebox {-3.25mm}{}$
+\begin_inset Formula $\raisebox{5.5mm}{}\Big(\big(\ln(3x)\big)^{2}\Big)\raisebox{-3.25mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5.5mm}{}\Bigl(\bigl(\ln(3x)\bigr)^{2}\Bigr)\raisebox {-3.25mm}{}$
+\begin_inset Formula $\raisebox{5.5mm}{}\Bigl(\bigl(\ln(3x)\bigr)^{2}\Bigr)\raisebox{-3.25mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {4.5mm}{}\bigl)\ln(3x)\bigr(\raisebox {-2mm}{}$
+\begin_inset Formula $\raisebox{4.5mm}{}\bigl)\ln(3x)\bigr(\raisebox{-2mm}{}$
\end_inset
B.
für physikalische Vektoren von Nutzen ist:
\begin_inset Formula \[
-\left\langle \phi\:\middle |\: J=\frac{3}{2}\,,\, M_{J}\right\rangle \]
+\left\langle \phi\:\middle|\: J=\frac{3}{2}\,,\, M_{J}\right\rangle \]
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}F(a)\xleftarrow[x>0]{x=a}F(x)\raisebox {-4mm}{}$
+\begin_inset Formula $\raisebox{5mm}{}F(a)\xleftarrow[x>0]{x=a}F(x)\raisebox{-4mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}F(x)\xrightarrow[x>0]{x=a}F(a)\raisebox {-4mm}{}$
+\begin_inset Formula $\raisebox{5mm}{}F(x)\xrightarrow[x>0]{x=a}F(a)\raisebox{-4mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}\dot{A}$
+\begin_inset Formula $\raisebox{5mm}{}\dot{A}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}\ddot{A}$
+\begin_inset Formula $\raisebox{5mm}{}\ddot{A}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}\dddot{A}$
+\begin_inset Formula $\raisebox{5mm}{}\dddot{A}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}\ddddot {A}$
+\begin_inset Formula $\raisebox{5mm}{}\ddddot{A}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}\vec{A}$
+\begin_inset Formula $\raisebox{5mm}{}\vec{A}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}\bar{A}$
+\begin_inset Formula $\raisebox{5mm}{}\bar{A}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}\mathring{A}$
+\begin_inset Formula $\raisebox{5mm}{}\mathring{A}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}\tilde{A}$
+\begin_inset Formula $\raisebox{5mm}{}\tilde{A}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}\hat{A}$
+\begin_inset Formula $\raisebox{5mm}{}\hat{A}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}\check{A}$
+\begin_inset Formula $\raisebox{5mm}{}\check{A}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}\acute{A}$
+\begin_inset Formula $\raisebox{5mm}{}\acute{A}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}\grave{A}$
+\begin_inset Formula $\raisebox{5mm}{}\grave{A}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}\breve{A}$
+\begin_inset Formula $\raisebox{5mm}{}\breve{A}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}\ddot{i}$
+\begin_inset Formula $\raisebox{5mm}{}\ddot{i}$
\end_inset
\series default
:
\begin_inset Formula \[
-\sideset {}{'}\sum_{k=1}^{n}\]
+\sideset{}{'}\sum_{k=1}^{n}\]
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {6mm}{}\overleftarrow{A=B}\raisebox {-2mm}{}$
+\begin_inset Formula $\raisebox{6mm}{}\overleftarrow{A=B}\raisebox{-2mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}\underleftarrow{A=B}\raisebox {-3mm}{}$
+\begin_inset Formula $\raisebox{5mm}{}\underleftarrow{A=B}\raisebox{-3mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {6mm}{}\overleftrightarrow{A=B}\raisebox {-2mm}{}$
+\begin_inset Formula $\raisebox{6mm}{}\overleftrightarrow{A=B}\raisebox{-2mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}\underleftrightarrow{A=B}\raisebox {-3mm}{}$
+\begin_inset Formula $\raisebox{5mm}{}\underleftrightarrow{A=B}\raisebox{-3mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {6mm}{}\overrightarrow{A=B}\raisebox {-2mm}{}$
+\begin_inset Formula $\raisebox{6mm}{}\overrightarrow{A=B}\raisebox{-2mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}\underrightarrow{A=B}\raisebox {-3mm}{}$
+\begin_inset Formula $\raisebox{5mm}{}\underrightarrow{A=B}\raisebox{-3mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {6mm}{}\widetilde{A=B}\raisebox {-2mm}{}$
+\begin_inset Formula $\raisebox{6mm}{}\widetilde{A=B}\raisebox{-2mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {6mm}{}\widehat{A=B}\raisebox {-2mm}{}$
+\begin_inset Formula $\raisebox{6mm}{}\widehat{A=B}\raisebox{-2mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {4.5mm}{}\sum\sum f_{kl}\raisebox {-2.5mm}{}$
+\begin_inset Formula $\raisebox{4.5mm}{}\sum\sum f_{kl}\raisebox{-2.5mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {4.5mm}{}\sum\negmedspace\sum f_{kl}\raisebox {-2.5mm}{}$
+\begin_inset Formula $\raisebox{4.5mm}{}\sum\negmedspace\sum f_{kl}\raisebox{-2.5mm}{}$
\end_inset
\end_inset
-\begin_inset Formula $\raisebox {5mm}{}$
+\begin_inset Formula $\raisebox{5mm}{}$
\end_inset
Gleichung ohne Leerraum
Dabei können alle Längeneinheiten verwendet werden, die in
\begin_inset CommandInset ref
LatexCommand ref
-reference "tab:Verwendete-Einheiten"
+reference "tab:Verfügbare-Einheiten"
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A=B\hspace {3cm}A\not=C$
+\begin_inset Formula $A=B\hspace{3cm}A\not=C$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A\hspace {-1mm}A\not=A$
+\begin_inset Formula $A\hspace{-1mm}A\not=A$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A=A\hfill B=B$
+\begin_inset Formula $A=A\hfill B=B$
\end_inset
erklärt.)
\end_layout
+\begin_layout Standard
+Neben
+\series bold
+
+\backslash
+hfill
+\series default
+ gibt es noch die Befehle
+\series bold
+
+\backslash
+dotfill
+\series default
+ und
+\series bold
+
+\backslash
+hrulefill
+\series default
+, die den Leerraum mit einem Muster füllen, siehe
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sub:Fortsetzungspunkte"
+
+\end_inset
+
+ für ein Beispiel.
+\end_layout
+
\begin_layout Standard
Variabler Leerraum kann für Text über das Menü
\family sans
status collapsed
\begin_layout Plain Layout
-Rahmen | see
+Rahmen | see
\begin_inset ERT
status collapsed
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula \raisebox {6mm}{}\fbox{$\int A=B$}\raisebox {-4mm}{}
+\begin_inset Formula \raisebox{6mm}{}\fbox{$\int A=B$}\raisebox{-4mm}{}
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {8.5mm}{}\boxed{\int A=B}\raisebox {-6.5mm}{}$
+\begin_inset Formula $\raisebox{8.5mm}{}\boxed{\int A=B}\raisebox{-6.5mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {6mm}{}A+\fbox{B}\raisebox {-3mm}{}$
+\begin_inset Formula $\raisebox{6mm}{}A+\fbox{B}\raisebox{-3mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {6mm}{}$
+\begin_inset Formula $\raisebox{6mm}{}$
\end_inset
\end_inset
-\begin_inset Formula $\raisebox {-4mm}{}$
+\begin_inset Formula $\raisebox{-4mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $H\raisebox {2mm}{al}lo$
+\begin_inset Formula $H\raisebox{2mm}{al}lo$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $H\raisebox {-2mm}{al}lo$
+\begin_inset Formula $H\raisebox{-2mm}{al}lo$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {6mm}{}\colorbox {yellow}{A=B}\raisebox {-3mm}{}$
+\begin_inset Formula $\raisebox{6mm}{}\colorbox{yellow}{A=B}\raisebox{-3mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {6mm}{}\colorbox {green}{\fbox{A=B}}\raisebox {-3mm}{}$
+\begin_inset Formula $\raisebox{6mm}{}\colorbox{green}{\fbox{A=B}}\raisebox{-3mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {6mm}{}\fbox{\colorbox {green}{A=B}}\raisebox {-3mm}{}$
+\begin_inset Formula $\raisebox{6mm}{}\fbox{\colorbox{green}{A=B}}\raisebox{-3mm}{}$
\end_inset
\begin_inset Formula \[
-\fcolorbox {cyan}{magenta}{A=B}\]
+\fcolorbox{cyan}{magenta}{A=B}\]
\end_inset
\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}
+\colorbox{dunkelgruen}{\color{yellow}\boxed{\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}}}\end{equation}
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {4.5mm}{}\iint\raisebox {-2.5mm}{}$
+\begin_inset Formula $\raisebox{4.5mm}{}\iint\raisebox{-2.5mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {4.5mm}{}\oiint\raisebox {-2.5mm}{}$
+\begin_inset Formula $\raisebox{4.5mm}{}\oiint\raisebox{-2.5mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {4.5mm}{}\sqiint\raisebox {-2.5mm}{}$
+\begin_inset Formula $\raisebox{4.5mm}{}\sqiint\raisebox{-2.5mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {4.5mm}{}\iiint\raisebox {-2.5mm}{}$
+\begin_inset Formula $\raisebox{4.5mm}{}\iiint\raisebox{-2.5mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {4.5mm}{}\iiiint\raisebox {-2.5mm}{}$
+\begin_inset Formula $\raisebox{4.5mm}{}\iiiint\raisebox{-2.5mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {4.5mm}{}\dotsint\raisebox {-2.5mm}{}$
+\begin_inset Formula $\raisebox{4.5mm}{}\dotsint\raisebox{-2.5mm}{}$
\end_inset
\end_inset
-\begin_inset Newpage newpage
-\end_inset
-
-
\end_layout
\begin_layout Subsection
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}\prod_{0}^{\infty}A(x)\raisebox {-2.5mm}{}$
+\begin_inset Formula $\raisebox{5mm}{}\prod_{0}^{\infty}A(x)\raisebox{-2.5mm}{}$
\end_inset
ein, um die untere Grenze zu erstellen.
Der Summand befindet sich nun direkt hinter dem Summenzeichen:
\begin_inset Formula \[
-\sum_{\mathclap {\substack{0<k<1000\\
+\sum_{\mathclap{\substack{0<k<1000\\
\\k\,\in\,\mathbb{N}}
}}^{n}k^{-2}\]
besteht:
\begin_inset Formula \[
-\Raute _{n=1}^{\infty}\]
+\Raute_{n=1}^{\infty}\]
\end_inset
B.
nutzen, um eine Grenze für mehrere Operatoren zu verwenden:
\begin_inset Formula \[
-\mathop {\sum\negmedspace\sum}_{i,j=1}^{N}\]
+\mathop{\sum\negmedspace\sum}_{i,j=1}^{N}\]
\end_inset
\begin_layout Standard
\begin_inset Formula \[
-\mathbf{\int_{n}^{2}f(\theta)=\Gamma}\qquad\textrm{Formel mit \textbackslash mathbf}\]
+\mathbf{\int_{n}^{2}f(\theta)=\Gamma}\qquad\textrm{Formel mit \textbackslash mathbf}\]
\end_inset
\series default
:
\begin_inset Formula \[
-\boldsymbol{\int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{Formel mit \textbackslash boldsymbol}}\]
+\boldsymbol{\int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{Formel mit \textbackslash boldsymbol}}\]
\end_inset
\begin_inset Formula \[
-\maltese A\textrm{\Large \maltese\textit{A}}\textrm{\tiny \maltese\textit{A}}\]
+\maltese A\textrm{\Large\maltese\textit{A}}\textrm{\tiny\maltese\textit{A}}\]
\end_inset
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
varGamma
\series default
:
-\begin_inset Formula $\varGamma $
+\begin_inset Formula $\varGamma$
\end_inset
eingefügt werden.
\end_layout
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
\begin_layout Subsection
Mathematische Symbole
\begin_inset CommandInset label
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\dag $
+\begin_inset Formula $\dag$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\ddag $
+\begin_inset Formula $\ddag$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\pounds $
+\begin_inset Formula $\pounds$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\P $
+\begin_inset Formula $\P$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\copyright $
+\begin_inset Formula $\copyright$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\euro $
+\begin_inset Formula $\euro$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {5mm}{}A(r)\stackrel{r\to\infty}{\approx}B$
+\begin_inset Formula $\raisebox{5mm}{}A(r)\stackrel{r\to\infty}{\approx}B$
\end_inset
\end_inset
-\end_layout
-
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
\end_layout
\begin_layout Section
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A\sgn (x)+B$
+\begin_inset Formula $A\sgn(x)+B$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\varliminf $
+\begin_inset Formula $\varliminf$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\varlimsup $
+\begin_inset Formula $\varlimsup$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\varprojlim $
+\begin_inset Formula $\varprojlim$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\varinjlim $
+\begin_inset Formula $\varinjlim$
\end_inset
-\begin_inset Formula $\raisebox {-2.5mm}{}$
+\begin_inset Formula $\raisebox{-2.5mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\hspace {1cm}\raisebox {5mm}{}\lim_{x\to A}x=B$
+\begin_inset Formula $\hspace{1cm}\raisebox{5mm}{}\lim_{x\to A}x=B$
\end_inset
\begin_layout Standard
Eine Besonderheit stellt die Modulo-Funktion dar, denn es gibt sie in vier
Varianten.
-\begin_inset Newpage newpage
-\end_inset
-
-
\end_layout
\begin_layout Standard
Die Varianten in einer abgesetzten Formel:
\begin_inset Formula \begin{align*}
-\underline{\textrm{Befehl}\raisebox {-0.9mm}{}} & & \underline{\textrm{Ergebnis}}\\
-\mathrm{a\backslash mod\textrm{\leer }b} & & a\mod b\\
-\mathrm{a\backslash pmod\textrm{\leer }b} & & a\pmod b\\
-\mathrm{a\backslash bmod\textrm{\leer }b} & & a\bmod b\\
-\mathrm{a\backslash pod\textrm{\leer }b} & & a\pod b\end{align*}
+\underline{\textrm{Befehl}\raisebox{-0.9mm}{}} & & \underline{\textrm{Ergebnis}}\\
+\mathrm{a\backslash mod\textrm{\leer}b} & & a\mod b\\
+\mathrm{a\backslash pmod\textrm{\leer}b} & & a\pmod b\\
+\mathrm{a\backslash bmod\textrm{\leer}b} & & a\bmod b\\
+\mathrm{a\backslash pod\textrm{\leer}b} & & a\pod b\end{align*}
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\textrm{\oe }$
+\begin_inset Formula $\textrm{œ}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\textrm{\OE }$
+\begin_inset Formula $\textrm{Œ}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\textrm{\ae }$
+\begin_inset Formula $\textrm{æ}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\textrm{\AE }$
+\begin_inset Formula $\textrm{Æ}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\textrm{\aa }$
+\begin_inset Formula $\textrm{\aa}$
\end_inset
\backslash
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-{
-\end_layout
-
-\end_inset
-
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\end_inset
-
@
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
\backslash
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-{
-\end_layout
-
-\end_inset
-
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\end_inset
-
-textrm
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-{
-\end_layout
-
-\end_inset
-
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
+textrm{
\backslash
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-{
-\end_layout
-
-\end_inset
-
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\end_inset
-
-AA
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
+AA}
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\textrm{\AA}$
+\begin_inset Formula $\textrm{Å}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\textrm{\i }$
+\begin_inset Formula $\textrm{ı}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\textrm{\o }$
+\begin_inset Formula $\textrm{ø}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\textrm{\O}$
+\begin_inset Formula $\textrm{Ø}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\textrm{\l }$
+\begin_inset Formula $\textrm{ł}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\textrm{\L }$
+\begin_inset Formula $\textrm{Ł}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\textrm{\j }$
+\begin_inset Formula $\textrm{ȷ}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {4.5mm}{}$
+\begin_inset Formula $\raisebox{4.5mm}{}$
\end_inset
\end_inset
-\begin_inset Formula $\raisebox {-2mm}{}$
+\begin_inset Formula $\raisebox{-2mm}{}$
\end_inset
oldstylenums{0123456789
\series default
ergibt:
-\begin_inset Formula $\oldstylenums {0123456789}$
+\begin_inset Formula $\oldstylenums{0123456789}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\_{} {}{}{}{}{}{}{}{}{}$
+\begin_inset Formula $\_$
\end_inset
\backslash
textdegree
\backslash
-f\SpecialChar \textcompwordmark{}
-i}
+fi}
\end_layout
\begin_layout Section
\family default
\series default
drückt.
- Dies erzeugt eine
+ Dies erzeugt entweder eine
+\series bold
+eqnarray-Umgebung
+\series default
+, die in
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sub:Eqnarray-Umgebung"
+
+\end_inset
+
+ beschrieben ist oder, wenn die Option
+\family sans
+AMS-Mathe-Paket verwenden
+\family default
+ in den Dokumenteinstellungen gewählt ist, eine
\series bold
align-Umgebung
\series default
\begin_inset Formula \begin{eqnarray}
H & = & W_{SB}+W_{mv}+W_{D}-\frac{\hbar^{2}}{2m_{0}}\Delta-\frac{\hbar^{2}}{2m_{1}}\Delta_{1}-\frac{\hbar^{2}}{2m_{2}}\Delta_{2}-\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{1}|}\nonumber \\
- & & -\hspace {3pt}\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{2}|}+\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{R}_{1}-\mathbf{R}_{2}|}\label{eq:kurzlang}\end{eqnarray}
+ & & -\hspace{3pt}\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{2}|}+\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{R}_{1}-\mathbf{R}_{2}|}\label{eq:kurzlang}\end{eqnarray}
\end_inset
\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 \\
+ & & -\hspace{3pt}B^{2}-2B\sqrt{r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}+r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}\nonumber \\
& & =B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}\label{eq:lefteqn}\end{eqnarray}
\end_inset
cm Leerraum eingefügt wurde:
\begin_inset Formula \begin{alignat*}{2}
-A & =\sin(B) & \hspace {1cm}C & =D\\
+A & =\sin(B) & \hspace{1cm}C & =D\\
C & \ne A & B & \ne D\end{alignat*}
\end_inset
:
\begin_inset Formula \begin{flalign}
-\hspace {30pt}\iiint\limits _{V}X\,\mathrm{d}V & =U & {}\end{flalign}
+\hspace{30pt}\iiint\limits _{V}X\,\mathrm{d}V & =U & {}\end{flalign}
\end_inset
\begin_layout Subsection
Eqnarray-Umgebung
+\begin_inset CommandInset label
+LatexCommand label
+name "sub:Eqnarray-Umgebung"
+
+\end_inset
+
+
\begin_inset Index
status collapsed
\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}}\\
+\shoveleft{-B^{2}-2B\sqrt{r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}+r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}\\
=B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}\end{multline}
\end_inset
in der aligned-Umgebung:
\begin_inset Formula \begin{equation}
\begin{aligned}H=\; & W_{SB}+W_{mv}+W_{D}-\frac{\hbar^{2}}{2m_{0}}\Delta-\frac{\hbar^{2}}{2m_{1}}\Delta_{1}-\frac{\hbar^{2}}{2m_{2}}\Delta_{2}-\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{1}|}\\
- & -\hspace {3pt}\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{2}|}+\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{R}_{1}-\mathbf{R}_{2}|}\end{aligned}
+ & -\hspace{3pt}\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{2}|}+\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{R}_{1}-\mathbf{R}_{2}|}\end{aligned}
\end{equation}
\end_inset
Ein Beispiel bei dem der Text zu Beginn der zweiten Zeile eingegeben wurde:
\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 $\phi=\pi$, daher}} & =2a\sqrt{2}\int_{0}^{\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\end{align}
+\intertext{\text{Integrand ist symmetrisch zu $\phi=\pi$, daher}} & =2a\sqrt{2}\int_{0}^{\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\end{align}
\end_inset
white
\series default
verwendet.
-\begin_inset Newpage pagebreak
-\end_inset
-
-
\end_layout
\begin_layout Standard
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A\gr B$
+\begin_inset Formula $A\gr B$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {4.5mm}{}\us {ABcd}\raisebox {-2mm}{}$
+\begin_inset Formula $\raisebox{4.5mm}{}\us{ABcd}\raisebox{-2mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {6mm}{}\fb {[2cm]}{}{\int A=B}\raisebox {-4mm}{}$
+\begin_inset Formula $\raisebox{6mm}{}\fb{[2cm]}{}{\int A=B}\raisebox{-4mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {6mm}{}\cb {red}{\int A=B}\raisebox {-4mm}{}$
+\begin_inset Formula $\raisebox{6mm}{}\cb{red}{\int A=B}\raisebox{-4mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {6mm}{}\cb [green]{red}{\int A=B}\raisebox {-4mm}{}$
+\begin_inset Formula $\raisebox{6mm}{}\cb[green]{red}{\int A=B}\raisebox{-4mm}{}$
\end_inset
\begin_layout Section
Diagramme
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Diagramme
-\end_layout
-
-\end_inset
-
-
\end_layout
\begin_layout Standard
-Um Diagramme zu erstellen, wird das LaTeX-Paket
+LyX unterstützt zwei Typen kommutativer Diagramme:
\series bold
amscd
-\begin_inset Foot
-status collapsed
-
-\begin_layout Plain Layout
-
+\series default
+ und
\series bold
-amscd
+xymatrix
\series default
- ist Teil jeder LaTeX-Standardinstallation.
+, die im Folgenden erläutert sind.
\end_layout
-\end_inset
-
-
-\series default
-
+\begin_layout Subsection
+amscd Diagramme
\begin_inset Index
status collapsed
\begin_layout Plain Layout
-Pakete ! amscd
+Diagramme ! amscd
\end_layout
\end_inset
- benötigt.
- Es wird im LaTeX-Vorspann mit der Zeile
-\end_layout
-
-\begin_layout Standard
-
-\series bold
-\backslash
-usepackage{amscd}
\end_layout
\begin_layout Standard
-geladen.
-\end_layout
-
-\begin_layout Standard
-Diagramme stellen Beziehungen dar und sehen folgendermaßen aus:
+Diagramme dieses Typs stellen Beziehungen mittels horizontaler und vertikaler
+ Linien oder Pfeilen dar:
\begin_inset Formula \[
\begin{CD}A@>>>B@>>>C\\
@AAA@.@VVV\\
D@<<j<E@>k>>F@=C
\end_layout
+\begin_layout Subsection
+xymatrix Diagramme
+\begin_inset Index
+status collapsed
+
+\begin_layout Plain Layout
+Diagramme ! xymatrix
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Um Xymatrizen nutzen zu können, muss das LaTeX-Paket
+\series bold
+xypic
+\series default
+ installiert sein.
+ Eine Xymatrix wird erstellt, indem der Befehl
+\series bold
+
+\backslash
+xymatrix
+\series default
+ in eine Formel eingegeben wird.
+ Dann können Sie neue Matrixspalten und -zeilen wie bei normalen Matrizen
+ hinzufügen, siehe
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sec:Matrizen"
+
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Standard
+Im Gegensatz zu amscd Diagrammen, unterstützen Xymatrixen diagonale und
+ gekrümmte Pfeile und vieles mehr.
+ Alle Möglichkeiten kommutative Diagramme und Dekorationen zu erzeugen,
+ sind im Detail in diesem Handbuch erklärt:
+\begin_inset Newline newline
+\end_inset
+
+
+\begin_inset CommandInset href
+LatexCommand href
+target "http://wiki.lyx.org/LyX/XY-pic#xy-manual"
+
+\end_inset
+
+
+\end_layout
+
\begin_layout Standard
\begin_inset Newpage newpage
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\Bra {\psi}$
+\begin_inset Formula $\Bra{\psi}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\Ket {\psi}$
+\begin_inset Formula $\Ket{\psi}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\Braket {\psi|\phi}$
+\begin_inset Formula $\Braket{\psi|\phi}$
\end_inset
stellt sicher, dass alle senkrechten Striche in der Größe der umgebenden
Klammern gesetzt werden:
\begin_inset Formula \[
-\Braket {\phi|J=\frac{3}{2}\,,\, M_{J}}\]
+\Braket{\phi|J=\frac{3}{2}\,,\, M_{J}}\]
\end_inset
Dazu ein Test:
\begin_inset Formula \begin{align*}
\text{Befehl} & & \mathrm{\backslash fracS[1mm]\backslash\{A\to\backslash\{B} & & \mathrm{\backslash fracS[5mm]\backslash\{A\to\backslash\{B}\\
-\text{Ergebnis} & & \fracS [1mm]{A}{B} & & \fracS [5mm]{A}{B}\end{align*}
+\text{Ergebnis} & & \fracS[1mm]{A}{B} & & \fracS[5mm]{A}{B}\end{align*}
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {4.5mm}{}\cancel {\int A=B}\raisebox {-2.5mm}{}$
+\begin_inset Formula $\raisebox{4.5mm}{}\cancel{\int A=B}\raisebox{-2.5mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {4.5mm}{}\bcancel {\int A=B}\raisebox {-2.5mm}{}$
+\begin_inset Formula $\raisebox{4.5mm}{}\bcancel{\int A=B}\raisebox{-2.5mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {4.5mm}{}\xcancel {\int A=B}\raisebox {-2.5mm}{}$
+\begin_inset Formula $\raisebox{4.5mm}{}\xcancel{\int A=B}\raisebox{-2.5mm}{}$
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\raisebox {7mm}{}\cancelto {1}{\int A=B}\raisebox {-2.5mm}{}\hspace {3mm}$
+\begin_inset Formula $\raisebox{7mm}{}\cancelto{1}{\int A=B}\raisebox{-2.5mm}{}\hspace{3mm}$
\end_inset
eignet sich besonders, wenn man das Kürzen innerhalb einer Formel darstellen
will:
\begin_inset Formula \[
-\frac{\left(x_{0}+bB\right)^{2}}{\left(1+b^{2}\right)^{\cancelto {2}{3}}}=\frac{x_{0}^{2}+B^{2}-r_{g}^{2}}{\cancel {1+b^{2}}}\]
+\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
Damit die Formeln so wie der Rest der Überschrift formatiert werden, wurde
die komplette Überschrift in eine
\series bold
-boldmath-Umgebung
+boldmath
\series default
-
+-Umgebung
\begin_inset Foot
status collapsed
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}
-\hspace {30pt}F_{A} & =\rho·V·g & \footnotesize \begin{array}{ll}
+\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}
uptau
\series default
dies:
-\begin_inset Formula $\uptau $
+\begin_inset Formula $\uptau$
\end_inset
\begin_layout Standard
Damit kann man Elementarteilchenreaktionen erstellen:
\begin_inset Formula \[
-\uppi ^{+}\to\upmu ^{+}+\upnu _{\upmu }\]
+\uppi^{+}\to\upmu^{+}+\upnu_{\upmu}\]
\end_inset
\end_inset
.
+\begin_inset Newline newline
+\end_inset
+
+Diese Richtlinie wird automatisch eingehalten, wenn man den Befehl
+\series bold
+
+\backslash
+unittwo
+\series default
+ verwendet.
+ Gibt man ihn in eine Formel ein, erscheinen zwei Kästchen.
+ In das Erste wird der Wert, in das Zweite die Einheit eingegeben und man
+ erhält wie oben:
+\begin_inset Formula $\unit[30]{km/h}$
+\end_inset
+
+
+\begin_inset space \thinspace{}
+\end_inset
+
+.
+ Zu beachten ist, dass
+\series bold
+
+\backslash
+unittwo
+\series default
+ kein echter LaTeX-Befehl, sondern der Befehl
+\series bold
+
+\backslash
+unit[Wert]{Einheit}
+\series default
+ ist, daher kann man ihn nicht im TeX-Code benutzen.
\end_layout
\begin_layout Itemize
projects / lyx.git / blobdiff