89 lines
2.0 KiB
TeX
Executable File
89 lines
2.0 KiB
TeX
Executable File
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% Packages
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\usepackage{amsmath}
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\usepackage{amsthm}
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\usepackage{amssymb}
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\usepackage{bm}
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\usepackage{mathtools}
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\usepackage{graphicx}
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\usepackage[utf8]{inputenc}
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\usepackage[T1]{fontenc}
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\usepackage[hidelinks]{hyperref}
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\usepackage{todonotes}
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\mathtoolsset{showonlyrefs}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% Operators
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\DeclareMathOperator{\dt}{d}
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\DeclareMathOperator{\diverg}{div}
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\DeclareMathOperator{\grad}{grad}
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\DeclareMathOperator{\tr}{tr}
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\DeclareMathOperator{\diag}{diag}
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\DeclareMathOperator{\sgn}{sgn}
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\DeclareMathOperator{\sym}{sym}
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\DeclareMathOperator{\skw}{skw}
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\DeclareMathOperator{\cov}{Cov}
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\DeclareMathOperator{\var}{Var}
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\newcommand{\C}{\mathbf{C}}
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\newcommand{\E}{\mathbf{E}}
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\newcommand{\R}{\mathbb{R}}
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\newcommand{\N}{\mathbb{N}}
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\newcommand{\PP}{\mathbb{P}}
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\newcommand{\pdN}{\mathcal{N}}
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\theoremstyle{plain}
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\newtheorem{satz}{Satz}
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\theoremstyle{definition}
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\newtheorem{definition}{Definition}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% Variables
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\newcommand{\vx}{\underline{x}}
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\newcommand{\vy}{\underline{y}}
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\newcommand{\vz}{\underline{z}}
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\newcommand{\vmu}{\underline{\mu}}
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\newcommand{\rrx}{\bm{x}}
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\newcommand{\rry}{\bm{y}}
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\newcommand{\rrz}{\bm{z}}
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\newcommand{\rvx}{\bm{\vx}}
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\newcommand{\rvy}{\bm{\vy}}
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\newcommand{\rvz}{\bm{\vz}}
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\newcommand{\evx}{\hat{\vx}}
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\newcommand{\evy}{\hat{\vy}}
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\newcommand{\evz}{\hat{\vz}}
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\renewcommand{\eps}{\ensuremath{\varepsilon}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% Commands
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\renewcommand{\vec}[1]{\underline{#1}}
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\newcommand{\dx}[1][x]{\,\dt\!#1}
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\newcommand{\func}[2]{ #1 ( #2 )}
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\newcommand{\funcb}[2]{ #1 [ #2 ]}
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\newcommand{\brr}[1]{\left( #1 \right)}
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\newcommand{\bre}[1]{\left[ #1 \right]}
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\newcommand{\brg}[1]{\left{ #1 \right}}
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\newcommand{\bis}[2]{= #1,\ldots\,, #2}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% Text
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\newcommand{\konst}{\textit{konst.}}
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\newcommand{\const}{\textit{const.}}
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\newcommand{\for}{\text{for }}
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