paper-commands.tex

\usepackage{fancyhdr}
\usepackage{extramarks}
\usepackage{amsmath}
\usepackage{amsthm}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage[plain]{algorithm}
\usepackage{algpseudocode}
\usepackage[english]{babel}
\usepackage{enumitem}
\usepackage{mathtools}
\usepackage{siunitx}
\usepackage{listings}
\usepackage{ifthen}
\usepackage{centernot}

\usepackage{hyperref}
\hypersetup{
    colorlinks=true,
    linkcolor=blue,
    filecolor=magenta,
    urlcolor=cyan,
}
\urlstyle{same}

\lstset{showstringspaces=false}

\newcommand{\myname}{\textbf{Nicole Mazzuca}}

%
% Basic Document Settings
%

\topmargin=-0.45in
\evensidemargin=0in
\oddsidemargin=0in
\textwidth=6.5in
\textheight=9.0in
\headsep=0.25in

\linespread{1.1}

\pagestyle{fancy}
\lhead{\myname}
\chead{\papertitle}
\rhead{\firstxmark}
\lfoot{\lastxmark}
\cfoot{\thepage}

\renewcommand\headrulewidth{0.4pt}
\renewcommand\footrulewidth{0.4pt}

\setlength\parindent{0pt}
\setlength\parskip{4pt}

\newtheorem{theorem}{Theorem}[section]
\newtheorem{definition}{Definition}[section]

\newtheorem{remark}[definition]{Remark}

\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{claim}[theorem]{Claim}

% Homework Problem Environment

\newcounter{hwCurrentChapter}

\newcounter{hwCurrentSection}

\newenvironment*{hwChapter}[1]{
  \setcounter{section}{#1}
  \setcounter{hwCurrentChapter}{#1}
  \setcounter{hwCurrentSection}{-1}
  \section*{Chapter #1}}

\newenvironment*{hwSection}[1]{
  \setcounter{hwCurrentSection}{#1}
  \ifthenelse{\value{hwCurrentChapter} < 0}
    {\subsection*{Section #1}}
    {\subsection*{Section \thehwCurrentChapter.#1}}
}

\newenvironment*{hwProblem}[1]{
  \ifthenelse{\value{hwCurrentChapter} < 0}
    {\subsubsection*{Problem #1}}
    {\ifthenelse{\value{hwCurrentSection} < 0}
      {\subsubsection*{Chapter \thehwCurrentChapter, Problem #1}}
      {\subsubsection*{Section \thehwCurrentChapter.\thehwCurrentSection, Problem #1}}
    }
}

\newenvironment*{hwMiscProblems}
  [1][Miscellaneous Problems]
  {
    \stepcounter{section}
    \setcounter{hwCurrentChapter}{-1}
    \section*{#1}
  }

%
% Various Helper Commands
%

% Integral dx or dt
\newcommand{\diff}{\mathrm{d}}

% Partial dx or dt
\newcommand{\pdiff}{\partial}

% gradient
\newcommand{\gradient}{\nabla}

% For simple derivatives
\newcommand{\sderiv}[2]{\frac{\diff #1}{\diff #2}}

% For simple partial derivatives
\newcommand{\spderiv}[2]{\frac{\pdiff #1}{\pdiff #2}}

% For derivatives
\newcommand{\deriv}[2]{\frac{\diff}{\diff #2} \left( #1 \right)}

% For partial derivatives
\newcommand{\pderiv}[2]{\frac{\pdiff}{\pdiff #2} \left( #1 \right)}

% evaluated at
\newcommand{\evaluated}{\Big|}

% defined to be equivalent to
\newcommand{\colonequiv}{\vcentcolon \equiv}

%
% function calls and parens
%

% normal parens
\newcommand{\paren}[1]{ { \left( #1 \right) } }
\newcommand{\tup}[1]{ \paren{ #1 } }

% paren square
\newcommand{\parensq}[1]{ { \left[ #1 \right] } }
\newcommand{\class}[1]{\parensq{\, #1 \,}}

% paren curly
\newcommand{\parencr}[1]{ { \left\{ #1 \right\} } }
\newcommand{\cset}[1]{ \parencr{#1} }

% paren angle
\newcommand{\parenng}[1]{ { \left< #1 \right> } }
\newcommand{\cvec}[1]{ \parenng{#1} }

% absolute value
\newcommand{\abs}[1]{ { \left| #1 \right| } }

% length
\newcommand{\length}[1]{ { \left\| #1 \right\| } }

% ranges
\newcommand{\rangex}[2]{ { \paren{#1, #2} } }
\newcommand{\rangei}[2]{ { \parensq{#1, #2} } }
\newcommand{\rangexi}[2]{ { \left( #1, #2 \right] } }
\newcommand{\rangeix}[2]{ { \left[ #1, #2 \right) } }

% call
\newcommand{\call}[2]{{#1 \paren{#2}}}

% function name
\newcommand{\func}[1]{{\operatorname{#1}}}

% call function with name
\newcommand{\callf}[2]{{\func{#1}\paren{#2}}}

% common functions
\renewcommand{\ln}[1]{\callf{ln}{#1}}
\renewcommand{\log}[1]{\callf{log}{#1}}
\newcommand{\logb}[2]{\func{log}_{#1} \paren{#2}}
\renewcommand{\sin}[1]{\callf{sin}{#1}}
\renewcommand{\cos}[1]{\callf{cos}{#1}}

\newcommand{\power}[1]{\call{\mathcal{P}}{#1}}

% classes and sets
\newcommand{\set}[1]{\mathbf{#1}}

\newcommand{\N}{\mathbb{N}}
\newcommand{\Z}{\mathbb{Z}}
\newcommand{\Q}{\mathbb{Q}}
\newcommand{\R}{\mathbb{R}}
\newcommand{\C}{\mathbb{C}}
\newcommand{\Hm}{\mathbb{H}}

\newcommand{\Set}{\set{Set}}


% for matrices
\makeatletter
\renewcommand*\env@matrix[1][*\c@MaxMatrixCols c]{%
   \hskip -\arraycolsep
   \let\@ifnextchar\new@ifnextchar
   \array{#1}}
\makeatother

% complex numbers
\newcommand{\Real}{\mathrm{Real}}
\newcommand{\Imag}{\mathrm{Imag}}

% such that
\newcommand{\st}{\  \textit{s.t.} \ }

% where
\newcommand{\where}{\ \textit{where}\ }

% fun
\newcommand{\fun}{\text{fun}}

% =/>
\newcommand{\notimplies}{\centernot\implies}

% equiv with text
\newcommand{\xequiv}[1]{{\overset{\text{#1}}{\equiv}}}

% let
\newcommand{\Let}{\textit{let}\,}
\newcommand{\Choose}{\textit{choose}\,}

% true and false
\newcommand{\true}{\textit{true}}
\newcommand{\false}{\textit{false}}

% for minor extra vertical spacing in splits
\newcommand{\splitpara}{\\[5pt]}

% C++
\newcommand{\CC}{C\nolinebreak\hspace{-.05em}\raisebox{.4ex}{\tiny\bf +}\nolinebreak\hspace{-.10em}\raisebox{.4ex}{\tiny\bf +}}