amartya_ltx.sty

% Theorem Environments

\newtheorem{thm}{Theorem}
\newtheorem{lem}[thm]{Lemma}
\newtheorem{corollary}[thm]{Corollary}
\newtheorem{claim}[thm]{Claim}
\newtheorem{proposition}[thm]{Proposition}
\newtheorem{remark}{Remark}
\newtheorem{defn}{Definition}
\newtheorem{example}{Example}


\def\LatinUpper{A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z}
\def\LatinLower{a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}




% Caligraphic fonts
\newcommand{\genCal}[1]{\expandafter\newcommand\csname c#1\endcsname{{\mathcal #1}}}
\@for\q:=\LatinUpper\do{%
	\expandafter\genCal\q
}

% Blackboard fonts
\newcommand{\genBb}[1]{\expandafter\newcommand\csname b#1\endcsname{{\mathbb #1}}}
\@for\q:=\LatinUpper\do{%
	\expandafter\genBb\q
}

% Fraktur fonts
\newcommand{\genFk}[1]{\expandafter\newcommand\csname k#1\endcsname{{\mathfrak #1}}}
\@for\q:=\LatinUpper\do{%
	\expandafter\genFk\q
}

\newcommand{\genFkl}[1]{\expandafter\newcommand\csname k#1\endcsname{{\mathfrak #1}}}
\@for\q:=\LatinLower\do{%
	\expandafter\genFkl\q
}


% Vectors
\renewcommand{\vec}[1]{{\mathbf{#1}}}
\newcommand{\genLatinVec}[1]{\expandafter\newcommand\csname v#1\endcsname{{\vec #1}}}
\@for\q:=\LatinLower\do{%
	\expandafter\genLatinVec\q
}


% Greek symbol vectors
\def\mydefgreek#1{\expandafter\def\csname v#1\endcsname{\text{\boldmath$\mathbf{\csname #1\endcsname}$}}}
\def\mydefallgreek#1{\ifx\mydefallgreek#1\else\mydefgreek{#1}%
   \lowercase{\mydefgreek{#1}}\expandafter\mydefallgreek\fi}
\mydefallgreek {alpha}{beta}{gamma}{delta}{epsilon}{zeta}{eta}{theta}{iota}{kappa}{lambda}{mu}{nu}{xi}{omicron}{pi}{rho}{sigma}{tau}{upsilon}{phi}{chi}{psi}{omega}\mydefallgreek

% Parentheses
\newcommand{\bc}[1]{\left\{{#1}\right\}}
\newcommand{\br}[1]{\left({#1}\right)}
\newcommand{\bs}[1]{\left[{#1}\right]}
\newcommand{\abs}[1]{\left| {#1} \right|}
\newcommand{\ceil}[1]{\left\lceil #1 \right\rceil}
\newcommand{\floor}[1]{\left\lfloor #1 \right\rfloor}
\newcommand{\bsd}[1]{\left\llbracket{#1}\right\rrbracket}
\newcommand{\ip}[2]{\left\langle{#1},{#2}\right\rangle}

% Vector notations
\newcommand{\reals}{\mathbb{R}}

%Important functions
\newcommand{\sgn}[1]{\mathbf{sign}(#1)}
\newcommand{\rank}[1]{\mathbf{rank}(#1)}
\newcommand{\rad}[2]{\mathbf{RAD}_{#2}(#1)}
\newcommand{\supp}{\mathop{\mathbf{sup}}}
\newcommand{\inff}{\mathop{\mathbf{inf}}}
\newcommand{\argmax}{\mathop{\mathbf{argmax}}}
\newcommand{\argmin}{\mathop{\mathbf{argmin}}}
\newcommand{\norm}[1]{\mathrm{\left\lVert#1\right\rVert}}

% Complexity operators
\newcommand{\bigO}[1]{{\cO}\br{{#1}}}
\newcommand{\softO}[1]{\widetilde{\cO}\br{{#1}}}
\newcommand{\Om}[1]{\Omega\br{{#1}}}
\newcommand{\softOm}[1]{\tilde\Omega\br{{#1}}}


% Special edit commands
\newcommand{\sidenote}[2]{{\color{red}#1}\marginpar{\color{blue} #2}}