Commit | Line | Data |
---|---|---|
bcbc4dbf MW |
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} |