LaTeX

1. LaTeX is a document markup language and document preparation system

2. How to learn: Helpful links for latex.

LaTeX: Basics and Reports, Articles and Slides

http://kom.aau.dk/net/guides/latex.html

The Not So Short Introduction to LaTeX

http://www.ctan.org/tex-archive/info/lshort/english/lshort.pdf

3. download the gz file: latex_ex.tar.gz,

open a new terminal, go to the directory where you download your gz file, type

tar –xvzf latex_ex.tar.gz

cd send

see http://kom.aau.dk/net/guides/latex.html for more details

latex ex1.tex

latex ex1.tex

xdvi ex1.dvi

dvips -o ex1.ps ex1.dvi

ps2pdf ex1.ps ex1.pdf

xpdf ex1.pdf

4. The structure of ex1.tex

%you can aslo use book, report, letter

\documentclass{article}

%loads LaTeX packages

\usepackage{graphicx}

\usepackage{dcolumn}

\usepackage{bm}

\usepackage{amsmath}

\usepackage{amssymb}

\usepackage[dvips]{epsfig}

\usepackage{psfrag}

\usepackage{amsfonts}

\usepackage{euscript}

\usepackage{array}

\usepackage{multirow}

\usepackage{longtable}

\usepackage{supertabular}

\usepackage{subfigure}

%layout of the paper, see

Ref: lshort Chapter 6.

\textwidth=16cm

\textheight=20cm

\hoffset=-1.5cm

%Beginning of the document.

\begin{document}

%The title of the paper.

\title{Curvature Analysis on Circle and Ellipse}

\author{Wurigen Bo}

\date{June,2007} %try \date{\today}

\maketitle

\section{Analysis} \label{S:anal}

….

….

\subsection{Error analysis of A1}

….

….

\end{document}

5. Mathematical Formulae.

Ref: lshort Chapter 3, also please read 3.10( List of Mathematical Symbols).

http://www.ctan.org/tex-archive/info/lshort/english/lshort.pdf

%Writing formula in text using $...$, for example:

Let 3 points on the unit circle be $P_b(-\sin\theta_1, \cos\theta_1),\ P_o(0, 1),\ P_f(\sin\theta_2, \cos\theta_2)$, in which $\theta_1,\ \theta_2$ satisfy $\theta_2/\theta_1 = k \geq 1$. We will use A1 to estimate the curvature of the unit circle in point $P_o$.

%one line equation

\begin{equation}\label{P3re}

\hat{f}^{\prime\prime}(x_2) =

\frac{1}{h^2}\left(Af(x_1)+Bf(x_2)+Cf(x_3)\right) \ .

\end{equation}

%multiline equations

\begin{eqnarray} \label{coefs}

& & a_1 = (\sin\theta_1+\sin\theta_2)/2,\quad b_1 = (\cos\theta_2 - \cos\theta_1)/2, \nonumber \\

& & a_2 = (\sin\theta_2-\sin\theta_1)/2, \quad b_2 =(\cos\theta_2 + \cos\theta_1)/2 - 1\ .

\end{eqnarray}

Notes for the above formulae

\ (backslash space) means a space.

\quad Leave a larger space.

\nonumber Do not number the formulae.

& Align rows

\label{} Label the formulea, you can your \ref{} to get the number of the formula.see \ref{A1err} in the ex1.tex file.

\\ Next line.

6. Tables and Figures

Tables: see Table_error in ex1.tex

Figures: see fig:A_I.

Also see http://kom.aau.dk/net/guides/latex.html

You can only insert .eps figures.

Use convert see http://kom.aau.dk/net/guides/latex.html

With Matlab, you can save a figure as a .eps figure. Draw a figure, then use

File -> Save as, see the following figures.