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51 lines
1.3 KiB
51 lines
1.3 KiB
% custom commands go here %
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\newcommand{\N}{\mathbb{N}}
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\newcommand{\R}{\mathbb{R}}
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\newcommand{\Z}{\mathbb{Z}}
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\newcommand{\K}{\mathbb{K}}
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\newcommand{\C}{\mathbb{C}}
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\newcommand{\Q}{\mathbb{Q}}
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\renewcommand*{\O}{\mathcal{O}}
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\renewcommand*{\epsilon}{\varepsilon}
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\newcommand{\Rq}{\R^2}
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\newcommand{\Qq}{\Q^2}
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\newcommand*{\Rmn}{\R^{m\times n}}
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% round functions
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\DeclarePairedDelimiter{\ceil}{\lceil}{\rceil}
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\DeclarePairedDelimiter{\floor}{\lfloor}{\rfloor}
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\newcommand{\lrarr}{\leftrightarrow}
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\newcommand{\larr}{\leftarrow}
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\newcommand{\rarr}{\rightarrow}
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\newcommand{\Lrarr}{\Leftrightarrow}
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\newcommand{\Larr}{\Leftarrow}
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\newcommand{\Rarr}{\Rightarrow}
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\newcommand*{\ex}{\emph{Beispiel: }}
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\newcommand{\anm}{\emph{Anmerkung: }}
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\newcommand{\prac}{\textbf{\textcolor{red}{Übung }}}
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% TODO: improve usage of \def and \ther
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\newcommand{\cdef}{\textbf{Definition: }}
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\newcommand{\ther}{\textbf{Satz: }}
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\newcommand{\linf}{\lim\limits_{n \rightarrow{} \infty}}
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%running fraction with slash - requires math mode.
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\newcommand*\rfrac[2]{{}^{#1}\!/_{#2}}
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% Vector
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\newcommand*\colvec[3][]{
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\begin{pmatrix}\ifx\relax#1\relax\else#1\\\fi#2\\#3\end{pmatrix}
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}
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\newcommand{\xyvec}{\colvec{x}{y}}
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% Index command to show the key emphasized
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\newcommand{\idx}[1]{{\emph{#1}\index{#1}}}
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\newtheorem{satz}{Satz}[subsection]
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