\documentclass[11pt]{article} \usepackage{amsmath, amsfonts, amsthm} \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. Don't put any content below the \end{document} line. %% \end{document}