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osak
talks
Commits
71a23a08
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Commit
71a23a08
authored
6 years ago
by
Valentin Bruch
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Merge branch 'master' of git.fsmpi.rwth-aachen.de:osak/talks
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workshops/latex/handout.tex
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40
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71a23a08
...
...
@@ -145,11 +145,11 @@ Syntax von Umgebungen:
%\item \texttt{amsmath}: Wird von \texttt{mathtools} geladen.
\item
\texttt
{
amssymb
}
,
\texttt
{
amsfonts
}
: noch mehr Symbole und Fonts.
\item
\texttt
{
mathrsfs
}
: Script Font, z.
\,
B.
\verb
|
\mathscr{N}
|
:
$
\mathscr
{
N
}$
\item
\texttt
{
dsfont
}
Fancy font für z.
\,
B.
\verb
|
\mathds{1}
|
:
$
\mathds
1
$
%
\item \texttt{dsfont} Fancy font für z.\,B. \verb|\mathds{1}|: $\mathds1$
%\item \texttt{mathbbol}: erweitert \verb|\mathbb\|
%\item \texttt{mathdots}: Punkte in Matrizen
\item
\texttt
{
braket
}
:
für Physiker,
Diracnotation
\item
\texttt
{
amsthm
}
:
für Mathematiker,
Umgebung
\texttt
{
theorem
}
\item
\texttt
{
braket
}
: Diracnotation
für Physik
\item
\texttt
{
amsthm
}
: Umgebung
\texttt
{
theorem
}
für Mathematik
\end{itemize}
%
\subsection
{
Mathematikumgebungen
}
...
...
@@ -209,16 +209,15 @@ Syntax von Umgebungen:
\verb
|
\int
|
&
$
\int
$
&
\verb
|
\prod
|
&
$
\prod
$
\end{tabular}
\begin{itemize}
[
no
itemsep]
%todo spacing!
\item
Grenzen:
\verb
|
\int_0^\infty $\mathrm{d}x$
|
$
\implies
\int
_
0
^
\infty
\mathrm
{
d
}
x
$
\item
Auf Pfeilen/Gleich.:
\verb
|
\overset{def}{=}
|
$
\implies
\overset
{
\mathrm
{
def
}}
=
$
\begin{itemize}
[itemsep
=0pt, parsep=12pt
]
%todo spacing!
\item
Grenzen:
\verb
|
\int_0^\infty $\mathrm{d}x$
|
\smash
{
$
\implies
\int
_
0
^
\infty
\mathrm
{
d
}
x
$
}
\item
Auf Pfeilen/Gleich.:
\verb
|
\overset{def}{=}
|
\smash
{
$
\implies
\overset
{
\mathrm
{
def
}}
=
$
}
\item
Unter Text:
\verb
|
\underbrace{1+2+3}_{c}
|
\smash
{$
\implies
\underbrace
{
1
+
2
+
3
}_{
c
}$}
\item
Griechische Buchstaben:
\end{itemize}
\item
Griechische Buchstaben und Zeichen:
\\
[2dd]
\begin{tabular}
{
@
{}
r l @
{
\hskip
.025
\linewidth
}
r l @
{
\hskip
.025
\linewidth
}
r l @
{
\hskip
.025
\linewidth
}
r l
}
\verb
|
\alpha
|
&
$
\alpha
$
&
\verb
|
\beta
|
&
$
\beta
$
&
\verb
|
\gamma
|
&
$
\gamma
$
&
\verb
|
\
phi
|
&
$
\
phi
$
\\
\verb
|
\
Gamma
|
&
$
\
Gamma
$
&
\verb
|
\
delta
|
&
$
\
delta
$
&
\verb
|
\
Delta
|
&
$
\
Delta
$
&
\verb
|
\
Phi
|
&
$
\
phi
$
\\
\verb
|
\
partial
|
&
$
\partial
$
&
\verb
|
\
nabl
a
|
&
$
\
nabl
a
$
&
\verb
|
\square
|
&
$
\square
$
&
\verb
|
\
v
ar
phi
|
&
$
\
v
ar
phi
$
\\
\verb
|
\alpha
|
&
$
\alpha
$
&
\verb
|
\beta
|
&
$
\beta
$
&
\verb
|
\gamma
|
&
$
\gamma
$
&
\verb
|
\
Gamma
|
&
$
\
Gamma
$
\\
\verb
|
\
phi
|
&
$
\
phi
$
&
\verb
|
\
Phi
|
&
$
\
Phi
$
&
\verb
|
\
varphi
|
&
$
\
varphi
$
&
\verb
|
\
varrho
|
&
$
\
varrho
$
\\
\verb
|
\
nabla
|
&
$
\nabla
$
&
\verb
|
\
Delt
a
|
&
$
\
Delt
a
$
&
\verb
|
\square
|
&
$
\square
$
&
\verb
|
\
p
ar
tial
|
&
$
\
p
ar
tial
$
\\
% \verb|\beta| & $\beta$ & \verb|\iota| & $\iota$ & \verb|\sigma| & $\sigma$ \\
% \verb|\epsilon| & $\epsilon$ & \verb|\mu| & $\mu$ & \verb|\upsilon| & $\upsilon$ \\
% \verb|\varepsilon| & $\varepsilon$ & \verb|\nu| & $\nu$ & \verb|\phi| & $\phi$ \\
...
...
@@ -231,14 +230,15 @@ Syntax von Umgebungen:
% \verb|\Xi| & $\Xi$ & \verb|\Upsilon| & $\Upsilon$ & \verb|\Omega| & $\Omega$ \\
%
\end{tabular}
\begin{itemize}
[noitemsep]
\item
Klammern:
$
\texttt
{
\textbackslash
big
}
\big
(
$
\item
Klammern:
\smash
{$
\texttt
{
\textbackslash
big
}
\big
(
$
$
\texttt
{
\textbackslash
Big
}
\Big
(
$
$
\texttt
{
\textbackslash
bigg
}
\bigg
(
$
$
\texttt
{
\textbackslash
Bigg
}
\Bigg
(
$
$
\texttt
{
\textbackslash
Bigg
}
\Bigg
(
$
}
\item
Automatisch:
$
\texttt
{
\textbackslash
left
(
...
\textbackslash
right
)
}
\implies
\left
(
\frac
{
a
}{
b
}
\right
)
$
\item
Andere Klammern:
\verb
|
\left[
|
,
\verb
|
\left\{
|
,
\verb
|
\left<
|
,
\verb
;
\left|
;
\item
Speziell
\verb
;
\left.e^x\right|_{x=0}
;
$
\implies\left
.e
^
x
\right
|
_{
x
=
0
}$
\item
Einheiten in der Physik:
\verb
|
13.5\,\mathrm{eV}
|
:
$
13
.
5
\,\mathrm
{
eV
}$
.
\item
Symbole finden:
\url
{
http://detexify.kirelabs.org
}
\end{itemize}
\begin{tabular}
{
@
{}
r l @
{
\hskip
.025
\linewidth
}
r l
}
% \verb|\left(e^x\right)| & $\left(e^x\right)$ & \verb|\left[e^x\right]| & $\left[e^x\right]$ \\
...
...
@@ -249,27 +249,25 @@ Syntax von Umgebungen:
% \verb|\sum_{n=0}^{N}| & $\sum_{n=0}^N$ \\
% \verb|\iiint\mathrm{d}x| & $\iiint\mathrm{d}x$ &
% \verb|\prod_{n=0}^{N}| & $\prod_{n=0}^N$ \\
% \verb|\overset{
def
.}{=}| & $\overset{def.}=$ &
% \verb|\overset{.}{=}| & $\overset{def.}=$ &
% \verb|\underbrace{a}_{b}| & $\underbrace{a}_{b}$
\end{tabular}
Einheiten in der Physik:
\verb
|
13,\!6\,\mathrm{eV}
|
oder
\verb
|
13.5\,\mathrm{eV}
|
.
%
\subsection
{
Font shapes
}
\subsection
{
Mathematik-Schriften
}
\begin{tabular}
{
@
{}
r l p
{
.45
\linewidth
}}
\verb
|
\mathnormal
|
&
$
abc ABC
123
\alpha\beta\gamma
\Gamma\Delta\Theta
$
&
Normalerweise
$
\equiv
$
\verb
|
\mathit
|
\\
\verb
|
\mathit
|
&
$
abc ABC
123
\alpha\beta\gamma
\Gamma\Delta\Theta
$
&
\\
\verb
|
\mathrm
|
&
$
\mathrm
{
abc ABC
}$
&
z.
\,
B.
$
\frac
{
\mathrm
{
d
}}{
\mathrm
{
d
}
x
}$
,
$
\int\!\mathrm
{
d
}
x
$
,
$
42
\,\mathrm
{
kg
}$
\\
\verb
|
\mathbf
|
&
$
\mathbf
{
abc ABC
123
\Gamma\Delta\Theta
}$
&
für Vektoren
\&
Tensoren
\\
%
\verb|\mathnormal| & $abc ABC 123 \alpha\beta\gamma \Gamma\Delta\Theta$ & Normalerweise $\equiv$\verb|\mathit| \\
%
\verb|\mathit| & $abc ABC 123 \alpha\beta\gamma \Gamma\Delta\Theta$ & \\
\verb
|
\mathrm
|
&
$
\mathrm
{
abc ABC
}$
&
Nicht kursiv
\\
\verb
|
\mathbf
|
&
$
\mathbf
{
abc ABC
123
\Gamma\Delta\Theta
}$
&
Fett
\\
%\verb|\bm| & $\bm{\alpha\beta\gamma \partial\nabla\dagger}$ & mit \verb|\usepackage{bm}| \\
\verb
|
\mathsf
|
&
$
\mathsf
{
abc ABC
123
\Gamma\Delta\Theta
}$
&
für Kategorien
\\
\verb
|
\mathcal
|
&
$
\mathcal
{
A
BC
HLNO
}$
&
nur Großbuchstaben
\\
\verb
|
\mathtt
|
&
$
\mathtt
{
abc ABC
123
\Gamma\Delta\Theta
}$
&
monospace
\\
\verb
|
\mathfrak
|
&
$
\mathfrak
{
abc ABC
123
}$
&
für Lie-Algebren
\\
\verb
|
\mathbb
|
&
$
\mathbb
{
A
BC
NQRZ
}$
&
nur Großbuchstab
en
\\
% (erweiterbar mit \texttt{mathbbol}) \\
\verb
|
\mathscr
|
&
$
\mathscr
{
A
BCHJK
LN
}$
&
nur Großbuchstaben, mit
\verb
|
\usepackage{
mathrsfs
}
|
\\
\verb
|
\mathds
|
&
$
\mathds
{
ABC
1
}$
&
braucht
\texttt
{
dsfont
}
\\
%
\verb|\mathsf| & $\mathsf{abc ABC 123 \Gamma\Delta\Theta}$ & für Kategorien \\
\verb
|
\mathcal
|
&
$
\mathcal
{
AHLNO
}$
&
Kalligrafie
\\
%
\verb|\mathtt| & $\mathtt{abc ABC 123 \Gamma\Delta\Theta}$ & monospace \\
\verb
|
\mathfrak
|
&
$
\mathfrak
{
abc ABC
123
}$
&
Fraktur
\\
\verb
|
\mathbb
|
&
$
\mathbb
{
ANQRZ
}$
&
Doppelte Lini
en
\\
% (erweiterbar mit \texttt{mathbbol}) \\
\verb
|
\mathscr
|
&
$
\mathscr
{
A
H
LN
}$
&
braucht Paket
\verb
|
mathrsfs
|
\\
%
\verb|\mathds| & $\mathds{ABC1}$ & braucht \texttt{dsfont} \\
\end{tabular}
Mehr Symbole finden:
\url
{
http://detexify.kirelabs.org
}
%
\subsection
{
Theoreme
}
In der Präambel:
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