mydefs.sty

%% Old stuff provided by the template, we're going to get rid of all of this eventually

% 2 theta with ` ' marks
\providecommand{\tth}{\mbox{`}2 \theta \mbox{'}}
% chemical formulas -- doesn't work in headings!  
\newlength{\fntxvi} \newlength{\fntxvii}%
\newcommand{\chemical}[1]
{{\fontencoding{OMS}\fontfamily{cmsy}\selectfont
	\fntxvi\the\fontdimen16\font
   \fntxvii\the\fontdimen17\font
   \fontdimen16\font=3pt\fontdimen17\font=3pt
   $\mathrm{#1}$
   \fontencoding{OMS}\fontfamily{cmys}\selectfont
   \fontdimen16\font=\fntxvi \fontdimen17\font=\fntxvii}}% 
% shortcut for Cu3Au -- works in headings
\providecommand{\cutau}{Cu$_3$Au}%

%% Minimizations.
\newcommand{\Min}[1]{{\hbox{$\underset{#1}{\mbox{min}}\;$}}}\long\def\commentOUT#1{} 
\newcommand{\argmin}[1]{{\hbox{$\underset{#1}{\mbox{argmin}}\;$}}}\long\def\commentOUT#1{}

\newcommand{\sign}{{\text{sign}}}
\newcommand{\shrink}{{\text{shrink}}}

%% Shankar's special shorthand
%\renewcommand{\arrow}{\ \ \ \Longrightarrow \ \ \ }
\newcommand{\moo}{\mathbf{\mu}}
\newcommand{\fie}{\mathbf{\phi}}
\newcommand{\alfa}{\mathbf{\alpha}}

\def\chat{\mathbf{\hat{c}}}
\def\xhat{\mathbf{\hat{x}}}
\def\nhat{\mathbf{\hat{n}}}

%% The rest I stole ... err ... borrowed from Yi's gpcabook
\newtheorem{problem}{Problem}
\newtheorem{definition}{Definition}
\newtheorem{theorem}{Theorem}
\newtheorem{example}{Example}
\newtheorem{remark}{Remark}
\newtheorem{comment}{Comment}
\newtheorem{proposition}{Proposition}
\newtheorem{lemma}{Lemma}
\newtheorem{corollary}{Corollary}
\newtheorem{assumption}{Assumption}
\newtheorem{alg}{Algorithm}

\def\QED{~\rule[-1pt]{5pt}{5pt}\par\medskip}

\newcommand {\itembbox}{\item[\hbox{\rule[3pt]{7pt}{7pt}}]} % black box
\newcommand {\itembull}{\item[$\bullet$] }                  % bullet
\newcommand {\itemcirc}{\item[$\circ$] }                    % open circle
\newcommand {\itemlt}  {\item[$\leadsto$] }                 % curly arrow
\newcommand {\itemnull}{\item[] }                           % empty
\newcommand {\itempt}  {\item[$\rightarrow$] }              % -->
\newcommand {\itemimp} {\item[$\Rightarrow$] }              % ==>
%\long\def\comment#1{}
\long\def\commentOUT#1{} % Jana's def for commenting things temporarily out

%\newcommand{\ie}{{i.e., }}
%\newcommand{\eg}{{e.g., }}
%\newcommand{\etal}{{et al.}}
\newcommand{\D}{\displaystyle}

\renewcommand{\simeq}{{~\sim~}}

\renewcommand{\mathbf}{\boldsymbol}

\def\mychi{{\raisebox{0.3ex}{$\chi$}}}

%\newcommand{\W}{{\mathbf W}} % The wind speed.
%\newcommand{\sign}{{\text{sign}}}
%\newcommand{\temp1}{{\text{temp}_1}}
%\def\temp1{{\text{temp}_1}}

\newcommand{\Sym}{{\text{Sym}}} % Symmetric tensor space
\renewcommand{\S}{{\mathcal{S}}} % Symmetric tensor space
\newcommand{\rank}{{\text{rank}}} % rank of a matrix
\newcommand{\F}{\mathbf{F}}     % Force vector 
\newcommand{\T}{\mathcal{T}}     % Multibody fundamental matrix
\newcommand{\Pol}{{{R}}}
\newcommand{\Ce}{{\mathbb{C}}} % Complex numbers
\renewcommand{\Re}{\mathbb R}
\newcommand{\Ze}{\mathbb Z}
\newcommand{\Pe}{\mathbb P}
\newcommand{\Ee}{\mathbb E}
\newcommand{\He}{\mathbb H}
%\newcommand{\myhat}[1]{[#1]_{\times}}
\newcommand{\myhat}{\widehat}

%\def\QED{~\rule[-1pt]{5pt}{5pt}\par\medskip}
\def\END{~\rule[-1pt]{5pt}{5pt}\par\medskip}
%\def\QED{{\bf Q.E.D.}\par\medskip}
%\newenvironment{proof}{{\bf Proof: \ }}{ \hfill \QED}

\def\e1{{{\mathbf e}_1}}
\def\e2{{{\mathbf e}_2}}
\def\e3{{{\mathbf e}_3}}

\renewcommand{\v}{\mathbf{v}}
\newcommand{\w}{\mathbf{w}}

\newcommand{\bu}{{\mathbf u}}
\newcommand{\bx}{{\mathbf x}}
\newcommand{\bl}{{\mathbf \ell}}
\newcommand{\bX}{{\mathbf X}}
\newcommand{\bU}{{\mathbf u}}
\newcommand{\bv}{{\mathbf v}}
\newcommand{\p}{{p}}
\newcommand{\bH}{{\mathbf H}}
\newcommand{\bh}{{\mathbf h}}
\newcommand{\q}{{\mathbf q}}
\newcommand{\rr}{{\mathbf r}}
\newcommand{\te}{\mathbf{t}}

% LIST OF SYMBOLS AND NOTATION
\renewcommand{\a}{\mathbf{a}} % Stacked multibody affine matrix
\newcommand{\A}{\mathcal{A}} % Multibody affine matrix
\renewcommand{\c}{\mathbf{c}} % Vector of coefficients
\renewcommand{\d}{\mathbf{d}} % 2-D displacement vector
\renewcommand{\e}{\mathbf{e}} % Epipole
\newcommand{\g}{\mathbf{g}}   % Vector in optimal derivations
\newcommand{\f}{\mathbf{f}}   % Vector in optimal derivations Stacked fundamental matrix
\renewcommand{\l}{\boldsymbol{\ell}} % Epipolar line
\newcommand{\n}{\mathbf{n}}   % Multivariate degree of a polynomial
\renewcommand{\u}{\mathbf{u}} % Optical flow
\newcommand{\vv}{\mathbf{v}} % Don't know

\renewcommand{\r}{\mathbf{r}}   % Noise in data point

\newcommand{\s}{\mathbf{s}}   % Noise in data point
\newcommand{\x}{\mathbf{x}}   % Image or data point

\newcommand{\blamda}{\mathbf{\lambda}} % lambda as a vector.

\newcommand{\V}{\mathbf{V}}   % Embedded data set
\newcommand{\X}{\mathbf{X}}   % Data Set
\newcommand{\y}{\mathbf{y}}   % Image derivatives
\newcommand{\bb}{\mathbf{b}}   % Image derivatives
\newcommand{\z}{\mathbf{z}}   % Vector for combination of eigenvectors

\def\X{{\mathbf{X}}}
\def\Y{{\mathbf{Y}}}
\def\hOm{{\widehat {\Omega}}}
\def\hom{{\widehat {\omega}}}
\def\SO3{{SO(3)}}
\def\so3{{so(3)}}
\def\SE3{{SE(3)}}
\def\se3{{se(3)}}

\newcommand{\subj}{\textup{subj to}}

%\def\commentSS#1{{\small{\textsc{[\underline{STEFANO COMMENT:}{#1{]}}}}}}
%\def\commentSSS#1{{\small{\textsc{[\underline{SHANKAR COMMENT:}{#1{]}}}}}}
%\def\commentYM#1{{\small{\textsc{[\underline{YI COMMENT:}{#1{]}}}}}}
%\def\commentJK#1{{\small{\textsc{[\underline{JANA COMMENT:}{#1{]}}}}}}

% TO REMOVE ALL COMMENTS JUST COMMENT LINE ABOVE AND UNCOMMENT FOLLOWING

\def\commentSS#1{}\def\commentSSS#1{}\def\commentYM#1{}\def\commentJK#1{}



\newcommand{\psfigure}[3]
    {
    \begin{tabular}{c}
    { \psfig{figure=#1,height=#2in,width=#3in}}
    \end{tabular}   }

\def\real{{\Re}}
\def\Q{{\mathbf{Q}}}
\def\P{{\mathcal{P}}}
%\def\P{{P}}
\def\X{{\mathbf{X}}}
\def\x{{\mathbf{x}}}
\def\Y{{\mathbf{Y}}}
\def\n{{\mathbf{n}}}
\def\bry{{\mathbf{\bar y}}}
\def\brx{{\mathbf{\bar x}}}
\def\brZ{{{\bar Z}}}
\def\H{{\cal{H}}}
\def\Ss{{\cal{S}}}
\def\brX{{\mathbf{\bar X}}}
\def\brY{{\mathbf{\bar Y}}}
\def\1{{\mathbf{1}}}
\def\S{{\mathbf{S}}}
\def\prS{{\rm pr}_{<\Sigma>}}
\def\hOm{{\widehat {\Omega}}}
\def\hom{{\widehat {\omega}}}
\def\hv{{\widehat \twist}}
\def\simSE3{{\stackrel{SE(3)}{\sim}}}
\def\simse3{{\stackrel{se(3)}{\sim}}}
\def\expectation{{\mathbf {E}}}
%\def\SO3{{\mathbf {SO(3)}}}
%\def\SE3{{\mathbf {SE(3)}}}
\newcommand{\avect}{eigenvector}

\newcommand{\0}{\mathbf{0}}

\def\arr{{\mathcal{A}}}
\newcommand{\Null}{{\mbox{Null}}}
\renewcommand{\mathbf}{\boldsymbol}
\renewcommand{\Re}{{\mathbb{R}}}
\def\tt{{\boldsymbol{t}}}
\def\ee{{\boldsymbol{e}}}
\def\aa{{\boldsymbol{a}}}
\def\bb{{\boldsymbol{b}}}
\def\dd{{\boldsymbol{d}}}
\def\ss{{\boldsymbol{s}}}
\def\cc{{\boldsymbol{c}}}
\def\pp{{\boldsymbol{p}}}
\def\chat{{\boldsymbol{\hat{\c}}}}
\def\nn{{\boldsymbol{n}}}
\def\rr{{\boldsymbol{n}}}
\def\m{{\boldsymbol{m}}}
\def\X{{\boldsymbol{X}}}
\def\L{{\boldsymbol{L}}}
\def\l{{\boldsymbol{l}}}
\def\Y{{\boldsymbol{Y}}}
\def\V{{\boldsymbol{V}}}
\def\uu{{\boldsymbol{u}}}
\def\vv{{\boldsymbol{v}}}
\def\yy{{\boldsymbol{y}}}
\def\xx{{\boldsymbol{x}}}
\def\ww{{\boldsymbol{w}}}
\def\zz{{\boldsymbol{z}}}
\def\uu{{\boldsymbol{u}}}
\def\F{{\boldsymbol{F}}}
\def\veronese{{\nu}}
\def\Qveronese{{\mu}}
\def\H{{\mathcal{H}}}
\def\Q{{\mathcal{Q}}}
\def\E{{\mathcal{E}}}
\def\L{{\mathcal{L}}}
\def\M{{\mathcal{M}}}
\def\A{{\mathcal{A}}}
\def\B{{\mathcal{B}}}
\def\F{{\mathcal{F}}}
\def\field{\mathbb{F}}
\def\QED{~\rule[-1pt]{5pt}{5pt}\par\medskip}