% Style file for the Talk
% Ewan Stewart
% KAIST
% Fall 2007


%%%% Layout %%%%

%\addtolength{\hoffset}{-1cm}
%\addtolength{\textwidth}{2cm}
%\addtolength{\voffset}{-1cm}
%\addtolength{\headheight}{1mm}
%\addtolength{\textheight}{1.9cm}
% Reduces the margins and expands the text to fit.

%\usepackage{fancyhdr} % A package for adding fancy headers and footers.
%\renewcommand{\headrulewidth}{0pt} % Eliminates the headrule.
%\pagestyle{fancy}
%\lhead{PH211}
%\chead{Physical Mathematics I}
%\rhead{KAIST}
%\lfoot{Ewan Stewart}
%\rfoot{Fall 2007}


%%%% Mathematics %%%%

\usepackage{amssymb} % A package for extra mathematical symbols.
\usepackage{bm} % A package for bold mathematical symbols.

\newcommand{\Z}{\mathbb{Z}} % Defines the command "\Z" to be "Z" written in blackboard bold font.
\newcommand{\R}{\mathbb{R}}
\newcommand{\C}{\mathbb{C}}

\renewcommand{\Re}{\mathop{\mathrm{Re}}} % Redefines the command "\Re" to be "Re" written in Roman font and treated as a mathematical operator.
\renewcommand{\Im}{\mathop{\mathrm{Im}}}
\newcommand{\sgn}{\mathop{\mathrm{sgn}}}

\renewcommand{\d}[1]{\mathinner{d#1}} % Redefines the command "\d{ }" to be "d" followed by its argument and treated as a sub-formula.
\newcommand{\fn}[2]{\mathinner{#1\mathopen{\left(#2\right)}}} % Defines the command "\fn{ }{ }" to be its first argument followed by "\left(" followed by its second argument followed by "\right)" and treated as a sub-formula. The "\mathopen" command makes the spacing before the "\left(" appropriate for a "(" rather than a sub-formula.

\newcommand{\bra}[1]{\langle #1 |} % Defines a new command "\bra{ }" to be a left angled bracket "\langle" followed by its argument followed by "|".
\newcommand{\ket}[1]{| #1 \rangle}
\newcommand{\braket}[2]{\langle #1 | #2 \rangle} % Defines a new command "\braket{ }{ }" to be a left angled bracket "\langle" followed by its first argument followed by "|" followed by its second argument followed by a right angled bracket "\rangle".

\newcommand{\vect}[1]{\bm{#1}} % Defines vector notation to be boldface.
%\newcommand{\vect}[1]{\bm{\vec{#1}}} % Defines vector notation to be arrowed boldface.
%\newcommand{\covect}[1]{\bm{\underline{#1}}} % Defines covector notation to be underlined boldface.


%%%% Text %%%%

\newcommand{\keyword}[1]{\textbf{#1}} % Defines the command "\keyword{ }" to be its argument written in bold font.
\newcommand{\eq}[1]{Eq.~(\ref{#1})} % Defines the command "\eq{<equation label>}" to be "Eq.~(<equation number>)".
\newcommand{\eqs}[2]{Eqs.~(\ref{#1}) and (\ref{#2})} % Defines the command "\eqs{<first equation label>}{<second equation label>}" to be "Eqs.~(<first equation number>) and (<second equation number>)".


%%%% Annotations %%%%

\usepackage{color} % A package to add color.
\newcommand{\texthl}[1]{\begingroup\setlength\fboxsep{1pt}\colorbox{yellow}{#1}\endgroup} % Defines the command "\texthl{<text>}" to be the text of its argument highlighted in yellow.
\newcommand{\displayhl}[1]{\begingroup\setlength\fboxsep{1pt}\colorbox{yellow}{$\displaystyle #1$}\endgroup} % Defines the command "\displayhl{<displayed math>}" to be the displayed mathematics of its argument highlighted in yellow.
\newcommand{\scripthl}[1]{{\setlength\fboxsep{1pt}\colorbox{yellow}{$\scriptstyle #1$}}} % Defines the command "\scripthl{<superscript or subscript>}" to be the superscript or subscript of its argument highlighted in yellow.
\newcommand{\comment}[1]{\begingroup\color{red} #1\endgroup} % Defines the command "\comment{}" to be its argument written in red font.


%%%% Counters %%%%

\@addtoreset{equation}{section} % Resets the equation counter to zero at the beginning of each section.
\renewcommand{\theequation}{\thesection.\arabic{equation}} % Changes equation numbering to "(chapter.section.equation)".
\@addtoreset{table}{section}
\renewcommand{\thetable}{\thesection.\arabic{table}}
\@addtoreset{figure}{section}
\renewcommand{\thefigure}{\thesection.\arabic{figure}}


%%%% Homework %%%%

\newcounter{homework} % Defines a new counter "homework".

\newenvironment{homework}[1]{
\renewcommand{\theequation}{\theenumi.\arabic{equation}} % Redefines the equation number to be "<the item number>.<value of the equation counter written in Arabic numerals>".
\renewcommand{\thefigure}{\theenumi.\arabic{figure}} % Redefines the figure number to be "<the item number>.<value of the figure counter written in Arabic numerals>".
\section*{Homework \arabic{homework}}
#1
\begin{enumerate}
}{
\end{enumerate}
}
% Defines the environment "homework" to be an unnumbered section title "Homework <value of the homework counter written in Arabic numerals>" followed by its argument followed by a numbered list environment.


%%%% Exam %%%%

\newenvironment{exam}[2]{
\renewcommand{\theequation}{\theenumi.\arabic{equation}} % Redefines the equation number to be "<the item number>.<value of the equation counter written in Arabic numerals>".
\renewcommand{\thefigure}{\theenumi.\arabic{figure}} % Redefines the figure number to be "<the item number>.<value of the figure counter written in Arabic numerals>".
\section*{Final Exam - #1, #2}
You should start from basic principles and give reasoning at every step.
Answers should be clear and concise.
Unclear or excessively long answers will not be graded.
\begin{enumerate}
}{
\end{enumerate}
}
% Defines the environment "exam", with two arguments for time and place, to be an unnumbered section title "Final Exam - <time>, <place>" followed by some comments and a numbered list environment.


%%%% Questions and Answers %%%%

\newcounter{question} % Defines a new counter "question".

\newcommand{\question}[1]{
\refstepcounter{question} \label{#1} % Adds one to the question counter and makes a reference to the label produce the question number.
\renewcommand{\theenumi}{Q\arabic{question}} % Redefines the item number to be "Q<value of the question counter written in Arabic numerals>".
\item
\setcounter{equation}{0} % Resets the equation counter to zero.
\setcounter{figure}{0} % Resets the figure counter to zero.
}
% Defines the command "\question{<question label>}" to be a labelled list item.

\newcommand{\answer}[1]{
\renewcommand{\theenumi}{A\ref{#1}} % Redefines the item number to be "A<the referred question number>".
\item
\setcounter{equation}{0} % Resets the equation counter to zero.
\setcounter{figure}{0} % Resets the figure counter to zero.
}
% Defines the command "\answer{<question label>}" to be a list item with reference to a question.


%%%% End %%%%