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Links And Information LaTeX Commands Some useful LaTeX commands. %calculus \newcommand{\ddd}[2]{\frac{{\rm d}^{2} #1}{{\rm d} #2 ^{2}}} \newcommand{\dd}[2]{\frac{{\rm d} #1}{{\rm d} #2}} \newcommand{\ddn}[3]{\frac{{\rm d}^{#1} #2}{{\rm d} #3 ^{#1}}} \newcommand{\pdd}[2]{\frac{\partial #1}{\partial #2}} \newcommand{\pddd}[2]{\frac{\partial^{2} #1}{\partial #2 ^{2}}} \newcommand{\pdddm}[3]{\frac{\partial^{2} #1}{\partial #2 \partial #3}} \newcommand{\pddn}[3]{\frac{\partial^{#1} #2}{\partial #3 ^{#1}}} \newcommand{\wrt}[1]{\; {\rm d} #1} \newcommand{\de}{differential equation} \newcommand{\Diff}{\operatorname{{\mathbf D}}} \newcommand{\grad}{\operatorname{{\mathrm grad}}} \newcommand{\diverg}{\operatorname{{\mathrm div}}} \newcommand{\curl}{\operatorname{{\mathrm curl}}} \newcommand{\sgn}{\operatorname{{\mathrm sgn}}} \newcommand{\Ltran}[1]{\mathcal{L} \left( #1 \right) } \newcommand{\Ftran}[1]{\mathcal{F} \left( #1 \right) } \newcommand{\Ftrani}[1]{\mathcal{F}^{-1} \left( #1 \right) } \newcommand{\cosec}{\operatorname{cosec}} %management \newcommand{\cc}{computational complexity} \newcommand{\search}{\operatorname{{\mathrm Search}}} \newcommand{\comp}{\operatorname{{\mathrm Comp}}} %Groups \newcommand{\rotn}{\operatorname{{\mathrm rot}}} \newcommand{\refl}{\operatorname{{\mathrm ref}}} \newcommand{\orbit}{\operatorname{{\mathrm orb}}} \newcommand{\stab}{\operatorname{{\mathrm stab}}} \newcommand{\tran}[2]{\begin{pmatrix} #1 & #2 \end{pmatrix}} \newcommand{\dcup}{\operatorname{\dot{\cup}}} \newcommand{\Dcup}{\operatornamewithlimits{\dot{\bigcup}}} \newcommand{\fix}{\operatorname{\mathrm{fix}}} \newcommand{\Ccl}[2]{\mathrm{Cl}_{#1} \left( #2 \right)} \newcommand{\cntrl}[2]{\mathrm{C}_{#1} \left( #2 \right)} \newcommand{\cntr}[1]{\mathrm{Z} \left( #1 \right)} \newcommand{\rel}[3]{#1 \, #2 \, #3} \newcommand{\Image}{\operatorname{\mathrm{Im}}} \newcommand{\id}{\operatorname{\mathrm{Id}}} \newcommand{\GL}[2]{\mathrm{GL}\left(#1,#2\right)} \newcommand{\Span}[1]{\mathrm{Span}\left\{#1\right\}} %other algebra \newcommand{\GF}[1]{\mathrm{GF}\left(#1 \right)} \newcommand{\inner}[2]{\left\langle #1 , #2 \right\rangle} \newcommand{\iinner}[2]{\left\langle \! \left\langle #1, #2 \right\rangle \! \right\rangle} \newcommand{\res}[3]{\operatorname{Res}^{#1}_{#2}\left(#3\right)} \newcommand{\ind}[3]{\operatorname{Ind}_{#1}^{#2}\left(#3\right)} \newcommand{\bigplus}{\operatornamewithlimits{\text{\Large{+}}}} % Analysis \newcommand{\norm}[1]{\Arrowvert #1 \Arrowvert} %stats \newcommand{\Fdist}[2]{{\mathcal F}_{#1,#2}} \newcommand{\Ndist}[2]{{\mathcal N} \left( #1,#2 \right) } \newcommand{\Xdist}[1]{\chi^{2}_{#1} } \newcommand{\iid}{independently and identically distributed} \newcommand{\var}{\operatorname{{\mathrm var}}} \newcommand{\MSE}[1]{\operatorname{{\mathrm MSE}} \left( #1 \right)} \newcommand{\cov}[2]{\operatorname{\mathrm{cov}} \left( #1 , #2 \right) } \newcommand{\mean}{\operatornamewithlimits{{\mathbb E}}} \renewcommand{\hat}{\Hat} \newcommand{\trace}{\operatorname{{\mathrm tr}}} \newcommand{\hvtr}[1]{\hat{\boldsymbol{\mathrm{#1}}}} \newcommand{\Prob}[1]{\mathrm{Pr} \left\{ #1 \right\} } \newcommand{\MA}[1]{\mathrm{MA} \left( #1 \right) } \newcommand{\AR}[1]{\mathrm{AR} \left( #1 \right) } \newcommand{\ARMA}[2]{\mathrm{ARMA} \left( #1, #2 \right)} \newcommand{\ARIMA}[3]{\mathrm{ARMA} \left( #1, #2, #3 \right)} \newcommand{\glim}[1]{\texttt{\$#1\$}} \newcommand{\sterr}[1]{\operatorname{sterr}\left(#1\right)} \renewcommand{\limsup}{\operatornamewithlimits{\overline{lim}}} \renewcommand{\liminf}{\operatornamewithlimits{\underline{lim}}} %vectors + complex \newcommand{\Arg}{\operatorname{{\mathrm Arg}}} \newcommand{\Res}[2]{\mathrm{Res} \left( #1 , #2 \right) } %\DeclareMathAlphabet{\m}{OT1}{cmss}{m}{sl} % for matrices \newcommand{\vtr}[1]{\boldsymbol{\mathrm{#1}}} % \DeclareMathAlphabet doesn't do symbols bold so can't be used for % \vtr \newcommand{\Log}{\operatorname{{\mathrm Log}}} \newcommand{\Ln}{\operatorname{{\mathrm Ln}}} \newcommand{\dotp}{\cdot} \newcommand{\Int}{\operatorname{{\mathrm Int}}} \newcommand{\Ext}{\operatorname{{\mathrm Ext}}} \newcommand{\Real}{\operatorname{{\mathrm Re}}} \newcommand{\Imag}{\operatorname{{\mathrm Im}}} \newcommand{\vwrt}[1]{\dotp {\rm d} \vtr{#1}} \newcommand{\dist}[2]{d \left( #1 , #2 \right)} %General \newcommand{\blah}[2]{\left( #1_{1}, #1_{2},\dots,#1_{#2} \right)} \newcommand{\bla}[2]{ #1_{1}, #1_{2},\dots,#1_{#2}} \newcommand{\blaha}[2]{ #1_{1}+ #1_{2}+\dots+#1_{#2}} \newcommand{\tagchar}{$\ast$} \newcommand{\divs}{ \! \mid \! } \newcommand{\ndivs}{ \! \nmid \! } \newcommand{\bdry}{\operatorname{{\mathrm Bdry}}} \newcommand{\ham}[2]{\mathrm{Ham} \left( #1 , #2 \right)} \newcommand{\change}{\operatornamewithlimits{\bigtriangleup}}