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88 lines
2.3 KiB
TeX
88 lines
2.3 KiB
TeX
%%% This file contains definitions of various useful macros and environments %%%
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%%% Please add more macros here instead of cluttering other files with them. %%%
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%%% Minor tweaks of style
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% These macros employ a little dirty trick to convince LaTeX to typeset
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% chapter headings sanely, without lots of empty space above them.
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% Feel free to ignore.
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\makeatletter
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\def\@makechapterhead#1{
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{\parindent \z@ \raggedright \normalfont
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\Huge\bfseries \thechapter. #1
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\par\nobreak
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\vskip 20\p@
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}}
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\def\@makeschapterhead#1{
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{\parindent \z@ \raggedright \normalfont
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\Huge\bfseries #1
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\par\nobreak
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\vskip 20\p@
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}}
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\makeatother
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% This macro defines a chapter, which is not numbered, but is included
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% in the table of contents.
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\def\chapwithtoc#1{
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\chapter*{#1}
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\addcontentsline{toc}{chapter}{#1}
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}
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% Draw black "slugs" whenever a line overflows, so that we can spot it easily.
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\overfullrule=1mm
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%%% Macros for definitions, theorems, claims, examples, ... (requires amsthm package)
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\theoremstyle{plain}
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\newtheorem{thm}{Theorem}
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\newtheorem{lemma}[thm]{Lemma}
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\newtheorem{claim}[thm]{Claim}
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\theoremstyle{plain}
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\newtheorem{defn}{Definition}
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\theoremstyle{remark}
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\newtheorem*{cor}{Corollary}
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\newtheorem*{rem}{Remark}
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\newtheorem*{example}{Example}
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%%% An environment for proofs
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\newenvironment{myproof}{
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\par\medskip\noindent
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\textit{Proof}.
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}{
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\newline
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\rightline{$\qedsymbol$}
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}
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%%% An environment for typesetting of program code and input/output
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%%% of programs. (Requires the fancyvrb package -- fancy verbatim.)
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\DefineVerbatimEnvironment{code}{Verbatim}{fontsize=\small, frame=single}
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%%% The field of all real and natural numbers
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\newcommand{\R}{\mathbb{R}}
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\newcommand{\N}{\mathbb{N}}
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%%% Useful operators for statistics and probability
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\DeclareMathOperator{\pr}{\textsf{P}}
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\DeclareMathOperator{\E}{\textsf{E}\,}
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\DeclareMathOperator{\var}{\textrm{var}}
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\DeclareMathOperator{\sd}{\textrm{sd}}
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%%% Transposition of a vector/matrix
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\newcommand{\T}[1]{#1^\top}
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%%% Various math goodies
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\newcommand{\goto}{\rightarrow}
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\newcommand{\gotop}{\stackrel{P}{\longrightarrow}}
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\newcommand{\maon}[1]{o(n^{#1})}
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\newcommand{\abs}[1]{\left|{#1}\right|}
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\newcommand{\dint}{\int_0^\tau\!\!\int_0^\tau}
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\newcommand{\isqr}[1]{\frac{1}{\sqrt{#1}}}
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%%% Various table goodies
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\newcommand{\pulrad}[1]{\raisebox{1.5ex}[0pt]{#1}}
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\newcommand{\mc}[1]{\multicolumn{1}{c}{#1}}
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