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%% GPL v2.1
%% version 2.3
%% UPDATE: 30/03/2018  by zhaofeng-shu33
%% This package requires package kvoptions,enumitems
\ProvidesPackage{iidef}
% semester
\def\@term{term}
\newcommand{\theterm}[1]{\renewcommand\@term{#1}}
% institute
\newcommand{\@courseinstitute}[1]{institute}
\newcommand{\thecourseinstitute}[1]{\renewcommand\@courseinstitute{#1}}
% coursename
\newcommand{\@coursename}[1]{coursename}
\newcommand{\thecoursename}[1]{\renewcommand\@coursename{\textsc{#1}}}

% configuration of nested enumerate env
\RequirePackage{enumitem}
% set hwcount key-value option
\RequirePackage{kvoptions}
% required by macro DeclareMathOperator
\RequirePackage{amsmath}

% \iidef@thehwcnt = 1
\DeclareStringOption[1]{thehwcnt}

\ProcessKeyvalOptions*
\def\thehwcnt{\iidef@thehwcnt}
% enumitem related configuration
\setlist[enumerate,1]{label=\thehwcnt.\arabic*.}
\setlist[enumerate,2]{label=(\alph*)}
\setlist[enumerate,3]{label=\roman*.}
\setlist[enumerate,4]{label=\greek*)}

% user can rewrite homework name
\def\@hwname{Homework}
\def\hwname#1{\renewcommand\@hwname{#1}}

% page header setup, distinguish between first page(plain style) and second page on (runningpage style)
%*****************************************************************************************************
\newcommand{\courseheader}{
\thispagestyle{plain}%first page use native plain style to suppress header
\vspace*{-1in}
\begin{center}
\@courseinstitute\\
\@coursename\\
\@term
\vspace*{0.1in}
\hrule
\end{center}
\begin{center}
  \underline{\bf \@hwname\;\thehwcnt} \\
\end{center}
}
% Set up page headers using with fancyhdr
\RequirePackage{fancyhdr}
\fancypagestyle{runningpage}
{
  \fancyhead[L]{\small\@coursename}
  \fancyhead[R]{\small\@courseinstitute}
}
% use runningpage style from second page on 
\pagestyle{runningpage}
% *********************************************************************************************

%common math symbols go here
%*************************************************
\def\v#1{\underline{#1}}
\newcommand{\uc}{\underline{c}}    % c, vec
\newcommand{\uv}{\underline{v}}    % x, vec
\newcommand{\uw}{\underline{w}}    % w, vec
\newcommand{\ux}{\underline{x}}    % x, vec
\newcommand{\uy}{\underline{y}}    % y, vec
\newcommand{\uz}{\underline{z}}    % z, vec
\newcommand{\um}{\underline{m}}    % m, vec
\newcommand{\rvx}{\mathsf{x}}    % x, r.v.
\newcommand{\rvy}{\mathsf{y}}    % y, r.v.
\newcommand{\rvz}{\mathsf{z}}    % z, r.v.
\newcommand{\rvw}{\mathsf{w}}    % w, r.v.
\newcommand{\rvH}{\mathsf{H}}    % H, r.v.
\newcommand{\urvx}{\underline{\mathsf{x}}}    % x, r.v. vec
\newcommand{\urvy}{\underline{\mathsf{y}}}    % y, r.v. vec
\newcommand{\urvz}{\underline{\mathsf{z}}}    % z, r.v. vec
\newcommand{\urvw}{\underline{\mathsf{w}}}    % w, r.v. vec

\newcommand{\defas}{\triangleq} %\coloneqq
\newcommand{\reals}{\mathbb{R}}
\newcommand{\TT}{\mathrm{T}}    % transpose
\DeclareMathOperator*{\argmax}{arg\,max}
\DeclareMathOperator*{\argmin}{arg\,min}
\DeclareMathOperator*{\argsup}{arg\,sup}
\DeclareMathOperator*{\arginf}{arg\,inf}
\DeclareMathOperator{\diag}{diag}
\DeclareMathOperator{\Var}{Var}
\DeclareMathOperator{\Cov}{Cov}
\DeclareMathOperator{\MSE}{MSE}
\DeclareMathOperator{\1}{\mathds{1}}
\DeclareMathOperator{\In}{\mathbb{I}}
\DeclareMathOperator{\E}{\mathbb{E}}
\DeclareMathOperator{\Prob}{\mathbb{P}}
\newcommand\independent{\protect\mathpalette{\protect\independenT}{\perp}}
\def\independenT#1#2{\mathrel{\rlap{$#1#2$}\mkern2mu{#1#2}}}
%************************************************************************************

%name command macro
%*************************
\newcommand{\name}[1]{
\begin{flushleft}
  #1\hfill
  \today
\end{flushleft}
\hrule

\vspace{2em}

\flushleft
}
%*************************

%define the solution env with amsthm proof
%******************************
\RequirePackage{amsthm}

\def\@slname{Solution}
\def\slname#1{\renewcommand\@slname{#1}}

\newenvironment{solution}
{
\proof[\@slname]
}
{
% no qed symbol in solution env
\renewcommand{\qedsymbol}{}
\endproof
}
%******************************
\endinput