| 1 | \documentclass[a4paper]{article} |
| 2 | \usepackage{amssymb} |
| 3 | \usepackage[T1]{fontenc} |
| 4 | \usepackage[british]{babel} |
| 5 | \usepackage{hyperref} |
| 6 | \usepackage[utf8]{inputenc} |
| 7 | |
| 8 | \renewcommand{\rmdefault}{ppl} |
| 9 | \renewcommand{\sfdefault}{phv} |
| 10 | \renewcommand{\ttdefault}{pcr} |
| 11 | |
| 12 | \newcommand{\dd}[1]{\mathrm{d}#1} |
| 13 | \newcommand{\res}{\mathop{\mathrm{res}}\nolimits} |
| 14 | \newcommand{\punct}[1]{\,\textrm{#1}} |
| 15 | |
| 16 | \title{An example document} |
| 17 | \author{Mark Wooding} |
| 18 | |
| 19 | \begin{document} |
| 20 | \maketitle |
| 21 | |
| 22 | \begin{abstract} |
| 23 | This is a simple example of a \LaTeX\ document, demonstrating some |
| 24 | important features. |
| 25 | \end{abstract} |
| 26 | |
| 27 | \tableofcontents |
| 28 | |
| 29 | \section{An initial section} \label{sec:init} |
| 30 | |
| 31 | This is an initial paragraph |
| 32 | which doesn't look as though it merits careful attention. |
| 33 | In fact, however, it demonstrates a few features |
| 34 | which aren't immediately obvious. |
| 35 | |
| 36 | This is a second paragraph, |
| 37 | which is separated from the first by a blank line. |
| 38 | No explicit markup was required. |
| 39 | More interesting things will happen in Section~\ref{sec:next}. |
| 40 | |
| 41 | \section{A subsequent section} \label{sec:next} |
| 42 | |
| 43 | This is another section. There was a cross-reference from |
| 44 | Section~\ref{sec:init}. |
| 45 | |
| 46 | \subsection{Lists and suchlike} |
| 47 | |
| 48 | \begin{itemize} |
| 49 | \item We can typeset lists of things. |
| 50 | \begin{itemize} |
| 51 | \item We can nest lists. |
| 52 | \item Four levels are usually allowed |
| 53 | before \LaTeX\ runs out of bullet symbols. |
| 54 | \end{itemize} |
| 55 | \item |
| 56 | \begin{enumerate} |
| 57 | \item We can also have lists with numbered entries. |
| 58 | \item This emphasizes that their ordering is relevant. |
| 59 | \item \label{en:item} It also allows us to refer to items later. |
| 60 | \item \begin{enumerate} |
| 61 | \item These lists can also be nested. |
| 62 | \item A nested list can form the entirety of a list item. |
| 63 | \end{enumerate} |
| 64 | \end{enumerate} |
| 65 | \item We can \emph{emphasize} words. |
| 66 | \item We can set words in \textbf{boldface}. |
| 67 | \item We can switch to \textsf{sans-serif} |
| 68 | or \texttt{monospace} typefaces. |
| 69 | \item If I don't refer to item~\ref{en:item} above |
| 70 | then it would have been pointless to have labelled it. |
| 71 | \end{itemize} |
| 72 | |
| 73 | See Table~\ref{tab:example} for an example table. |
| 74 | (Notice how it's ended up at the top of the page, |
| 75 | above this text which precedes the table in the source code. |
| 76 | Also observe that there's insufficient vertical space |
| 77 | around the horizontal rules.) |
| 78 | |
| 79 | \begin{table} |
| 80 | \centering |
| 81 | \begin{tabular}{lcr} \hline |
| 82 | \textbf{Left} & \textbf{Centre} & \textbf{Right} \\ \hline |
| 83 | Left-aligned & Mid! & Right-aligned \\ |
| 84 | Stuff & \multicolumn{2}{r}{spanning two columns} \\ |
| 85 | More & random & nonsense \\ \hline |
| 86 | \end{tabular} |
| 87 | \caption{An example table which contains little information of value.} |
| 88 | \label{tab:example} |
| 89 | \end{table} |
| 90 | |
| 91 | \subsection{Mathematics} |
| 92 | |
| 93 | This is sort of the whole point. |
| 94 | Silverman~\cite[\textsection VI.2, p.~151]{silverman:curves} |
| 95 | deduces from the residue theorem that |
| 96 | \[ \sum_{w\in\mathbb{C}/\Lambda} \res_w(f) |
| 97 | = \frac{1}{2\pi i} \int_{\partial D} f(z) \,\dd{z} \punct{.} \] |
| 98 | Elsewhere, Lang~\cite[\textsection VIII.4, p.~516]{lang:algebra} |
| 99 | defines the \emph{Vandermonde determinant} |
| 100 | $V = V(x_1, \ldots, x_n)$ to be |
| 101 | \[ V = \left| \begin{array}{cccc} |
| 102 | 1 & 1 & \cdots & 1 \\ |
| 103 | x_1 & x_2 & \cdots & x_n \\ |
| 104 | \vdots & \vdots & \ddots & \vdots \\ |
| 105 | x^{n-1}_1 & x^{n-1}_2 & \cdots & x^{n-1}_n \\ |
| 106 | \end{array} \right| \punct{.} \] |
| 107 | |
| 108 | \begin{thebibliography}{99} |
| 109 | \bibitem{lang:algebra} |
| 110 | Lang, Serge, |
| 111 | \emph{Algebra, Revised Third Edition}, |
| 112 | (Springer Verlag, 2005). |
| 113 | \bibitem{silverman:curves} |
| 114 | Silverman, Joseph H., |
| 115 | \emph{The Arithmetic of Elliptic Curves}, |
| 116 | (Springer Verlag, 1986). |
| 117 | \end{thebibliography} |
| 118 | |
| 119 | \end{document} |