forked from xtdrone/XTDrone
79 lines
2.6 KiB
TeX
Executable File
79 lines
2.6 KiB
TeX
Executable File
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% math_bbing.sty
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%
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% Brian Bingham's LaTeX Math Style File
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%
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% HISTORY
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% 20.03.2007 bbing Created from rme's style file
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%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\ProvidesPackage{math_bbing}
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\usepackage{ifthen}
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\usepackage{amsmath}
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\usepackage{amssymb}
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\usepackage{cancel}
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\newcommand{\ifempty}[3]% Macro tests when calling param is empty
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{\ifcat_#1_ %
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#2 \else % Action when calling parameter empty
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#3 \fi}% % Action when calling parameter not empty
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%% Probability Utilities
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% normal cov: syntax \normalcov[optional]{u}{P}
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\providecommand{\normalcov}[3][]{
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\ifempty{#1}{\ensuremath{\mathcal{N}\bigl({#2},{#3}\bigr)}} % N(u,P)
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{\ensuremath{\mathcal{N}\bigl({#1};{#2},{#3}\bigr)}} % N(x;u,P)
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}
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% normal info: syntax \normalinfo[optional]{u}{P}
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\providecommand{\normalinfo}[3][]{
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\ifempty{#1}{\ensuremath{\mathcal{N}^{-1}\bigl({#2},{#3}\bigr)}} % N^-1(u,P)
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{\ensuremath{\mathcal{N}^{-1}\bigl({#1};{#2},{#3}\bigr)}}% N^-1(x;u,P)
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}
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% pdf
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%\providecommand{\pdf}[2][]{
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% \ifempty{#1}{\ensuremath{p\bigl({#2}\bigr)}} % p(x)
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% {\ensuremath{p\bigl({#1}\bigl\vert{#2}\bigr)}} % p(x|y)
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%}
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% expectation
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\providecommand{\E}[1]{\ensuremath{\mathsf{E}\bigl[#1\bigr]}}
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%% Vectors and Matricies
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% bold vector
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\providecommand{\bvec}[1]{\ensuremath{\boldsymbol{\mathrm{#1}}}}
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% homogenous vector
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\providecommand{\hvec}[1]{\ensuremath{\underline{\boldsymbol{\mathrm{#1}}}}}
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% mean vector
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\providecommand{\mvec}[1]{\ensuremath{\overline{\boldsymbol{\mathrm{#1}}}}}
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% matrix
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\providecommand{\mat}[1]{\ensuremath{\mathrm{#1}}}
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% skew-symmetric matrix
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\providecommand{\skewsym}[1]{\ensuremath{[{#1}]_{\times}}}
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% identity matrix
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\providecommand{\eye}[1]{\ensuremath{\mat{I}_{#1\times#1}}}
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% zeros matrix
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\providecommand{\zeros}[2][]{%
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\ifempty{#1}{\ensuremath{0_{#2\times#2}}} %0_{nxn}
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{\ensuremath{0_{#1\times#2}}} %0_{mxn}
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}
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% absolute
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\providecommand{\abs}[1]{\ensuremath{\lvert{#1}\rvert}}
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% norm
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\providecommand{\norm}[1]{\ensuremath{\left\lVert{#1}\right\rVert}}
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% left sub/sup script
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\providecommand{\leftexp}[2]{\ensuremath{{\vphantom{#2}}{#1}{#2}}}
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\providecommand{\cov}[1]{\ensuremath{\operatorname{cov}({#1})}}
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% derivative
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\providecommand{\deriv}[2]{\ensuremath{\frac{\mathrm{d}#1}{\mathrm{d}#2}}}
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% partial derivative
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\providecommand{\pderiv}[2]{\ensuremath{\frac{\partial#1}{\partial#2}}}
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% differential
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\providecommand{\dt}[1][]{
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\ifempty{#1}{\ensuremath{\mathrm{dt}}} %dt
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{\ensuremath{\mathrm{d}#1}} %d#1
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}
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