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+\usepackage{amssymb} +\usepackage{fancyhdr,parskip} +\usepackage{fullpage} +\usepackage{mathrsfs} +\usepackage{mathtools} + +%% +%% Stuff above here is packages that will be used to compile your document. +%% If you've used unusual LaTeX features, you may have to install extra packages by adding them to this list. +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + +\setlength{\headheight}{15.2pt} +\setlength{\headsep}{20pt} +\pagestyle{fancyplain} + +%% +%% Stuff above here is layout and formatting. If you've never used LaTeX before, you probably don't need to change any of it. +%% Later, you can learn how it all works and adjust it to your liking, or write your own formatting code. +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%%%%%%%%%%%%%%%%%%%%%% +% These commands create theorem-like environments. +\newtheorem{theorem}{Theorem} +\newtheorem{lemma}[theorem]{Lemma} +\newtheorem{corollary}[theorem]{Corollary} +\newtheorem{prop}[theorem]{Proposition} +\newtheorem{defn}[theorem]{Definition} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% This section contains some useful macros that will save you time typing. +%% + +% Using \displaystyle (or \ds) in a block of math has a number of effects, but most notably, it makes your fractions come out bigger. +\newcommand{\ds}{\displaystyle} + +% These lines are for displaying integrals; typing \dx will make the dx at the end of the integral look better. +\newcommand{\is}{\hspace{2pt}} +\newcommand{\dx}{\is dx} + +% These commands produce the fancy Z (for the integers) and other letters conveniently. +\newcommand{\Z}{\mathbb{Z}} +\newcommand{\Q}{\mathbb{Q}} +\newcommand{\R}{\mathbb{R}} +\newcommand{\C}{\mathbb{C}} +\newcommand{\F}{\mathbb{F}} +\newcommand{\T}{\mathcal{T}} +\newcommand{\B}{\mathcal{B}} + +% for fancy empty set char +\renewcommand{\emptyset}{\varnothing} + +% customized commands for future assignements +\newcommand{\imply}{\Rightarrow} +\def\P{\mathscr{P}} +\def\L{\mathscr{L}} +\def\M{\mathscr{M}} +\DeclarePairedDelimiterX{\inp}[2]{\langle}{\rangle}{#1, #2} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% This is the header. It will appear on every page, and it's a good place to put your name, the assignment title, and stuff like that. +%% I usually leave the center header blank to avoid clutter. +%% + +\fancyhead[L]{\textbf{CSE4303 Homework 0}} +\fancyhead[C]{509191} +\fancyhead[R]{Zheyuan Wu} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + +\begin{document} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Actual math starts here! + + +% Use an enumerated list to write up problems. First we begin a list. + +\begin{enumerate} + +\item[1.] + + +\end{enumerate} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Actual math ends here. 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