# Difference between revisions of "Dhj.sty"

\usepackage{amsmath,amssymb,amsthm,amsfonts,latexsym,hyperref,xspace} \usepackage[pdftex]{graphicx}

% layout \setlength{\textwidth}{6.5 in} \setlength{\textheight}{9in} \setlength{\oddsidemargin}{0in} \setlength{\topmargin}{0in} \addtolength{\voffset}{-.5in}

% environments \newtheorem{theorem}{Theorem}[section] \newtheorem*{namedtheorem}{\theoremname} \newcommand{\theoremname}{testing} \newenvironment{named}[1]{ \renewcommand{\theoremname}{#1} \begin{namedtheorem}} {\end{namedtheorem}} \newtheorem{lemma}[theorem]{Lemma} \newtheorem{claim}[theorem]{Claim} \newtheorem{proposition}[theorem]{Proposition} \newtheorem{fact}[theorem]{Fact} \newtheorem{corollary}[theorem]{Corollary} \theoremstyle{definition} \newtheorem{definition}[theorem]{Definition} \theoremstyle{definition} \newtheorem{remark}[theorem]{Remark} \theoremstyle{definition} \newtheorem{notation}[theorem]{Notation} \theoremstyle{plain}

%%%%%%%%%%%% Generic math macros %%%%%%%%%%%%

% probability and other operators \renewcommand{\Pr}{\mathop{\bf Pr\/}} \newcommand{\Ex}{\mathop{\bf E\/}} \newcommand{\Varx}{\mathop{\bf Var\/}} \newcommand{\Covx}{\mathop{\bf Cov\/}} \newcommand{\littlesum}{\mathopTemplate:\textstyle \sum}

% correct typography \newcommand{\abs}[1]{\left\lvert #1 \right\rvert}

% mathrm terms \newcommand{\poly}{\mathrm{poly}}

% number systems \newcommand{\R}{\mathbb R} \newcommand{\N}{\mathbb N} \newcommand{\Z}{\mathbb Z}

% short forms \newcommand{\eps}{\epsilon} \newcommand{\lam}{\lambda} \newcommand{\la}{\langle} \newcommand{\ra}{\rangle} \newcommand{\wt}[1]{\widetilde{#1}} \newcommand{\wh}[1]{\widehat{#1}} \newcommand{\ot}{\otimes} \newcommand{\half}Template:\textstyle \frac12

% calligraphic letters \newcommand{\calA}{{\mathcal{A}}} \newcommand{\calB}{{\mathcal{B}}} \newcommand{\calC}{{\mathcal{C}}} \newcommand{\calE}{\mathcal{E}} \newcommand{\calS}{\mathcal{S}} \newcommand{\calU}{\mathcal{U}}

% bold \newcommand{\bs}[1]{\boldsymbol{#1}}

% barred letters \newcommand{\barJ}{{\overline{J}}} \newcommand{\barT}{{\overline{T}}}

%%%%%%%%%%%% document-writing macros %%%%%%%%%%%%

\newcommand{\ignore}[1]{*\marginpar{\tiny \em ignored part}} %\newcommand{\ignore}[1]{}

%\newcommand{\noteryan}[1]{*\marginpar{\tiny *Ryan: \bf #1}} \newcommand{\noteryan}[1]{{\tiny #1}} %\newcommand{\noteryan}[1]{} \newcommand{\notetim}[1]{*\marginpar{\tiny *Tim: \bf #1}} %\newcommand{\notetim}[1]{}

%%%%%%%%%%%% DHJ-centric macros %%%%%%%%%%%%

\newcommand{\unif}{\mu}  % uniform distribution \newcommand{\spac}{\nu}  % the uniform spacing distribution \newcommand{\eqs}[1]{\overline{\nu}_{#1}}  % equal-slices \newcommand{\ens}[1]{\widetilde{\nu}_{#1}}  % equal-nondengenerate-slices \newcommand{\prd}{\pi}  % a generic product distribution \newcommand{\distra}{\gamma}  % a generic distribution \newcommand{\distrb}{\xi}  % another generic distribution

\newcommand{\slice}{s}

\newcommand{\dtv}[2]{d_{\mathrm{TV}}(#1,#2)}  % total variation distance \newcommand{\dchi}[2]{d_{\chi^2}(#1,#2)}  % chi^2 distance

\newcommand{\chg}[3]{#1^{#2\rightarrow#3}}  % a string with some symbols replaced

\newcommand{\wild}{\mathord{\star}}  % wildcard symbol

\newcommand{\ppn}{p}  % proportion of coordinates free in the measure-embedding argument

\newcommand{\hj}[2]{\mathrm{HJ}_{#1}(#2)} \newcommand{\dhj}[2]{\mathrm{DHJ}_{#1}(#2)} \newcommand{\mdhj}[3]{\mathrm{MDHJ}_{#1}(#2,#3)} \newcommand{\edhj}[2]{\mathrm{EDHJ}_{#1}(#2)} \newcommand{\Pdhj}[2]{\mathrm{PDHJ}_{#1}(#2)} \newcommand{\pdhj}[2]{\epsilon_{#1}(#2)} \newcommand{\emdhj}[3]{\mathrm{EMDHJ}_{#1}(#2,#3)} \newcommand{\Pmdhj}[3]{\mathrm{PMDHJ}_{#1}(#2,#3)} \newcommand{\pmdhj}[3]{\epsilon_{#1}(#2,#3)}