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https://github.com/vale981/TUD_MATH_BA
synced 2025-03-04 17:21:38 -05:00
Added a few commands and restructured.
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1 changed files with 46 additions and 41 deletions
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@ -93,47 +93,6 @@
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%%%%%%%%%%% Old commands, need to check, which ones are in use, if not delete!
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%%% Metrics, Norms, etc %%%%
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% Norms, Absolute, Scalar product
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% Source: https://tex.stackexchange.com/questions/94410/easily-change-behavior-of-declarepaireddelimiter
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% Example: \set{...}; \set*{...}=\set[]{...}; \set[\big]{...}, \set[\Big]{...}, ...
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\NewDocumentCommand\xDeclarePairedDelimiter{mmm} % unar
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{
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\NewDocumentCommand#1{som}{
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\IfNoValueTF{##2}
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{\IfBooleanTF{##1}{#2##3#3}{\mleft#2##3\mright#3}}
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{\mathopen{##2#2}##3\mathclose{##2#3}}
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}
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}
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\NewDocumentCommand\xDeclarePairedDelimiterBin{mmm} % binar
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{
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\NewDocumentCommand#1{somm}{
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\IfNoValueTF{##2}
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{\IfBooleanTF{##1}{#2##3,##4#3}{\mleft#2##3,##4\mright#3}}
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{\mathopen{##2#2}##3,##4\mathclose{##2#3}}
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}
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}
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\xDeclarePairedDelimiter{\set}{\lbrace}{\rbrace}
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\xDeclarePairedDelimiter{\norm}{\Vert}{\Vert}
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\xDeclarePairedDelimiter{\abs}{\vert}{\vert}
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\xDeclarePairedDelimiterBin{\scaProd}{\langle}{\rangle}
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\xDeclarePairedDelimiter{\brackets}{(}{)}
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%%%%%%%%%%% Measure Theory %%%%%%%%%%%%%%%%%%
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\newcommand{\sigA}{\mathscr{A}} % typical Sigma A for sigma algebras
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\newcommand{\sigB}{\mathscr{B}} % typical Sigma B for sigma algebras
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\newcommand{\sigG}{\mathscr{G}} % typical Generator for sigma algebras
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\newcommand{\sigO}{\mathscr{O}} % sigma algebra of open sets
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\newcommand{\probp}{\mathbb{P}} % probability measure
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\newcommand{\one}{\mathbbm{1}} % characteristic function
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\newcommand{\borel}{\mathscr{B}} % Borel set
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\newcommand{\sigF}{\mathscr{F}} % typical sigma F for sigma algebra for stochastic lecture
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\newcommand{\diff}{\mathrm{d}} % differential d
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\newcommand{\s}{\,\,} % space after the function in the intergral
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\newcommand{\cont}{\mathcal{C}} % Contour C
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@ -209,6 +168,35 @@
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\fi%
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}
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%%% Metrics, Norms, etc %%%%
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% Norms, Absolute, Scalar product
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% Source: https://tex.stackexchange.com/questions/94410/easily-change-behavior-of-declarepaireddelimiter
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% Example: \set{...}; \set*{...}=\set[]{...}; \set[\big]{...}, \set[\Big]{...}, ...
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\NewDocumentCommand\xDeclarePairedDelimiter{mmm} % unar
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{
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\NewDocumentCommand#1{som}{
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\IfNoValueTF{##2}
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{\IfBooleanTF{##1}{#2##3#3}{\mleft#2##3\mright#3}}
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{\mathopen{##2#2}##3\mathclose{##2#3}}
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}
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}
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\NewDocumentCommand\xDeclarePairedDelimiterBin{mmm} % binar
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{
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\NewDocumentCommand#1{somm}{
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\IfNoValueTF{##2}
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{\IfBooleanTF{##1}{#2##3,##4#3}{\mleft#2##3,##4\mright#3}}
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{\mathopen{##2#2}##3,##4\mathclose{##2#3}}
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}
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}
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\xDeclarePairedDelimiter{\set}{\lbrace}{\rbrace}
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\xDeclarePairedDelimiter{\norm}{\Vert}{\Vert}
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\xDeclarePairedDelimiter{\abs}{\vert}{\vert}
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\xDeclarePairedDelimiterBin{\scaProd}{\langle}{\rangle}
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\xDeclarePairedDelimiter{\brackets}{(}{)}
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%%%%%%%%%%%%%%%%% MINT %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%\newcommand{\sigmalg}{$\sigma$-Algebra}
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@ -219,6 +207,17 @@
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{\usefont{U}{stixbbit}{m}{it}\symbol{"F6}}%
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}
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%%%%%%%%%%% Measure Theory %%%%%%%%%%%%%%%%%%
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\newcommand{\sigA}{\mathscr{A}} % typical Sigma A for sigma algebras
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\newcommand{\sigB}{\mathscr{B}} % typical Sigma B for sigma algebras
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\newcommand{\sigG}{\mathscr{G}} % typical Generator for sigma algebras
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\newcommand{\sigO}{\mathscr{O}} % sigma algebra of open sets
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\newcommand{\probp}{\mathbb{P}} % probability measure
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\newcommand{\one}{\mathbbm{1}} % characteristic function
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\newcommand{\borel}{\mathscr{B}} % Borel set
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\newcommand{\sigF}{\mathscr{F}} % typical sigma F for sigma algebra for stochastic lecture
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% Math Operators
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%%%%%% A
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\DeclareMathOperator{\Aff}{Aff} % Affine
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@ -281,6 +280,7 @@
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\DeclareMathOperator{\ord}{ord} % Order of a group
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\DeclareMathOperator{\Orth}{O} % Orthogonal Group
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\DeclareMathOperator{\Out}{Out} % Outer Automorphism
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\DeclareMathOperator{\Landau}{O} % Big ``O'' (Landau)
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\DeclareMathOperator{\pr}{pr} % Projection
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@ -324,4 +324,9 @@
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\newcommand{\enter}{$ $\newline} % wordwrap w/o condition
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\newcommand\tab[1][1cm]{\hspace*{#1}} % practical Tabulator
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% sords in math env %
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\newcommand{\und}{\text{ und }}
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\renewcommand{\mit}{\text{ mit }} % overrides \mit - Used to turn on math italic typestyle.
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\newcommand{\bzw}{\text{ bzw. }}
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\endinput
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