%Communication Complexity Scribe Notes template

\ifx\CompleteCourse\relax
\ClassScribeSetupA
\else
\documentclass[11pt]{article}

% Make the page large
\addtolength{\textwidth}{1.50in}
\addtolength{\textheight}{1.00in}
\addtolength{\evensidemargin}{-0.75in}
\addtolength{\oddsidemargin}{-0.75in}
\addtolength{\topmargin}{-.50in}

% \vdashsub{X}  makes a turnstyle with subscript "X"
% \vdashsup{X}  makes a turnstyle with superscript "X"

\newdimen\srbdimenA
\newcommand{\vdashsupsub}[2]{ \mathop{
  \setbox251 = \hbox{$\scriptstyle #1$}
  \setbox252 = \hbox{$\scriptstyle #2$}
  \ifdim \wd251<\wd252 \srbdimenA = \wd252 \else \srbdimenA = \wd251 \fi
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                  ^{\hbox to\srbdimenA{\hfill \box251\hfill}}
                  _{\hbox to\srbdimenA{\hfill \box252\hfill}}$}
  \box255 \kern .05em}}
\newcommand{\srbAvdash}{\hbox{ \vrule height1.4ex width0.02em
                                \dimen255 = \srbdimenA
                                \advance\dimen255 by 0.1em
                              \vbox{\hrule width\srbdimenA height0.02em
                                    \kern .65ex  }}}
\newcommand{\vdashsup}[1]{\vdashsupsub{{#1}}{\mbox{~}}}
\newcommand{\vdashsub}[1]{\vdashsupsub{\mbox{~}}{#1}}
\fi

%   FOR THE SCRIBE: CUSTOMIZE THE ENTRIES BELOW:
%   Fill in the following information particular to these scribe notes:

\def\scribeone{Toniann Pitassi}    % Who is the scribe?
\def\classdate{1 December 2009} % Date of the class
\def\classnumber{13131313131313131313131313}     % Is this the first, second, ...?

% Here are some commands that stay the same for the whole class.

\def\classinstructor{Toniann Pitassi}
\def\classtitle{Communication Complexity}
\def\doctitle{\textup{CS 2429 - Foundations of Communication Complexity}}
\def\classid{\textup{Lecture \#\classnumber: \classdate}}

%   Put your macros for these scribe notes HERE
%  It is best to use as few as possible.
%  environments for "theorem", "corollary", "lemma", "fact" "definition"
%   "homework", "proof", "example", "proposition"
%   are already defined above.

% Reverse Index (remove before final edition)
%\usepackage[active]{srcltx}

\usepackage{amsthm,amsmath,amssymb,graphicx,epsfig,color}
\usepackage{enumerate}

% Reverse Index (remove before final edition)
% Remove the following
%\usepackage[active]{srcltx}


\newcommand{\eps}{\varepsilon}
\newcommand{\ignore}[1]{}
\def\C   {\mathcal{C}}
\def\RR  {\mathbb{R}}
\renewcommand{\SS}{\mathbb{S}}
\def\EE  {\mathbb{E}}

\newtheorem{definition}{Definition}
\newtheorem{theorem}{Theorem}
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{question}{Question}
\newtheorem{claim}[theorem]{Claim}
\newtheorem{conjecture}[theorem]{Conjecture}
\newtheorem{observation}[theorem]{Observation}
\newtheorem{fact}[theorem]{Fact}
\newtheorem{example}{Example}
%\newtheorem{algorithm}{Algorithm}
\newtheorem{assumption}[theorem]{Assumption}
\newtheorem{remark}{Remark}
\newtheorem{problem}{Problem}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage[backref=page]{hyperref}
\hypersetup{
    unicode=false,          % non-Latin characters in Acrobat’s bookmarks
    pdftoolbar=true,        % show Acrobat’s toolbar?
    pdfmenubar=true,        % show Acrobat’s menu?
    pdffitwindow=true,      % page fit to window when opened
    pdftitle={Introduction to Communication Complexity},    % title
    pdfsubject={communication complexity},   % subject of the document
    pdfcreator={Matei David},   % creator of the document
    pdfproducer={}, % producer of the document
    pdfkeywords={}, % list of keywords
    pdfnewwindow=true,      % links in new window
    colorlinks=false,       % false: boxed links; true: colored links
    linkcolor=red,          % color of internal links
    citecolor=green,        % color of links to bibliography
    filecolor=magenta,      % color of file links
    urlcolor=cyan          % color of external links
}

\newcommand{\functionfont}{\mathrm}
\newcommand{\OR}{\ensuremath{\functionfont{OR}}}

\newcommand{\classfont}{\mathsf}
\newcommand{\cclass}{\classfont}
\newcommand{\Pcc}[1][]{\ensuremath{\classfont{P}_{#1}^\mathrm{cc}}}
\newcommand{\RPcc}[1][]{\ensuremath{\classfont{RP}_{#1}^\mathrm{cc}}}
\newcommand{\coRPcc}[1][]{\ensuremath{\classfont{coRP}_{#1}^\mathrm{cc}}}
\newcommand{\BPPcc}[1][]{\ensuremath{\classfont{BPP}_{#1}^\mathrm{cc}}}
\newcommand{\NPcc}[1][]{\ensuremath{\classfont{NP}_{#1}^\mathrm{cc}}}
\newcommand{\coNPcc}[1][]{\ensuremath{\classfont{coNP}_{#1}^\mathrm{cc}}}
\newcommand{\ACz}{\ensuremath{\classfont{AC}^0}}

\newcommand{\R}{\ensuremath{\mathbb{R}}}
\newcommand{\zo}{\ensuremath{ \{ 0, 1 \} }}
\newcommand{\pmone}{\ensuremath{ \{ -1, +1 \} }}
\newcommand{\e}{\epsilon}
\newcommand{\disc}{\ensuremath{\mathrm{disc}}}
\newcommand{\corl}[2][]{\ensuremath{\mathrm{corr}_{#1} \left( {#2} \right)}}
\newcommand{\prob}[2][]{\ensuremath{\mathop{\mathrm{Pr}}_{#1} \left[ {#2} \right]}}
\newcommand{\exval}[2][]{\ensuremath{\mathop{\mathrm{E}}_{#1} \left[ {#2} \right]}}
\newcommand{\Lift}[2]{\ensuremath{\mathrm{Lift} \left( {#1}, {#2} \right)}}

\newcommand{\bigo}[1]{\ensuremath{O \left( {#1} \right)}}
\newcommand{\littleo}[1]{\ensuremath{o \left( {#1} \right)}}
\newcommand{\bigomega}[1]{\ensuremath{\Omega \left( {#1} \right)}}
\newcommand{\littleomega}[1]{\ensuremath{\omega \left( {#1} \right)}}
\newcommand{\bigtheta}[1]{\ensuremath{\Theta \left( {#1} \right)}}
\newcommand{\set}[2][]{
  \ifthenelse{\equal{\detokenize{#1}}{}}
    {\ensuremath{\left\{ {#2} \right\}}}
    {\ensuremath{\left\{ \left. {#2} \; \right| \; {#1} \right\}}}
}

% Start the document

\ifx\CompleteCourse\relax
\ClassScribeSetupB
\else
\def\makeatletter{\catcode`\@=11\relax}
\def\makeatother{\catcode`\@=12\relax}
\makeatletter
\def\ps@scribeheadings{\let\@mkboth\@gobbletwo
\def\@oddhead{\sl\doctitle \hfill \classid
}\def\@oddfoot{\hfil \rm \thepage \hfil}\def\@evenhead{\@oddhead}%
\def\@evenfoot{\@oddfoot}\def\sectionmark##1{}\def\subsectionmark##1{}}
\makeatother
\pagestyle{scribeheadings}
\begin{document}
\bibliographystyle{siam}
\fi

\begin{center}
\Large\bf\doctitle\\[1em]
\Large\bf\classid\\[1em]
{\large\bf Lecturer: \classinstructor}\\[.5em]
{\large\bf Scribe Notes by: \scribeone}
\end{center}

\vspace*{.4in}

% HERE IS WHERE YOUR SCRIBE NOTES SHOULD START
%  DELETE ALL OF ROB'S TEXT AND ENTER YOUR OWN.


\section{Open Problems}





%\bibliographystyle{plain}
\bibliography{refs3}

\end{document}