--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/latex/slides.tex Tue Aug 31 18:50:20 2010 +0530
@@ -0,0 +1,839 @@
+\documentclass[english]{beamer}
+
+% generated by Docutils <http://docutils.sourceforge.net/>
+\usepackage{fixltx2e} % LaTeX patches, \textsubscript
+\usepackage{cmap} % fix search and cut-and-paste in PDF
+\usepackage{babel}
+\usepackage[T1]{fontenc}
+\usepackage[latin1]{inputenc}
+\usepackage{listings}
+\usepackage{amsmath}
+\lstset{
+ language=TeX,
+ basicstyle=\small\ttfamily,
+ commentstyle=\ttfamily\color{blue},
+ stringstyle=\ttfamily\color{orange},
+ showstringspaces=false,
+ breaklines=true,
+ postbreak = \space\dots
+}
+
+\usepackage{ifthen}
+\usepackage{longtable}
+\usepackage{array}
+\setlength{\extrarowheight}{2pt}
+\newlength{\DUtablewidth} % internal use in tables
+
+\mode<presentation>
+{
+ \usetheme{Warsaw}
+ \useoutertheme{infolines}
+ \setbeamercovered{transparent}
+}
+
+
+\title{\LaTeX}
+\author[FOSSEE] {FOSSEE}
+\institute[IIT Bombay] {Department of Aerospace Engineering\\IIT
+ Bombay}
+\date{}
+
+%% Delete this, if you do not want the table of contents to pop up at
+%% the beginning of each subsection:
+\AtBeginSubsection[]
+{
+ \begin{frame}<beamer>
+ \frametitle{Outline}
+ \tableofcontents[currentsection,currentsubsection]
+ \end{frame}
+}
+
+\AtBeginSection[]
+{
+ \begin{frame}<beamer>
+ \frametitle{Outline}
+ \tableofcontents[currentsection,currentsubsection]
+ \end{frame}
+}
+
+\begin{document}
+
+% Document title
+\begin{frame}
+ \maketitle
+\end{frame}
+
+\section{Introduction}
+
+\begin{frame}
+ \frametitle{\LaTeX~- Introduction}
+ \begin{itemize}
+ \item Typesetting program
+ \item Excellently Typeset Documents - specially Math
+ \item Anything from one page articles to books.
+ \item Based on \TeX
+ \item Pronounced ``Lah-tech'' or ``Lay-tech''
+ \end{itemize}
+\end{frame}
+
+\begin{frame}
+ \frametitle{This Course}
+ \begin{itemize}
+ \item Look at Sample document - \texttt{sample.pdf}
+ \item The document will be produced by the end of the course.
+ \item First Hour - Basic Structure
+ \item Second Hour - Text, Tables, Figures, References
+ \item Third Hour - Math, Bibliography, Presentations
+ \end{itemize}
+\end{frame}
+
+
+\begin{frame}
+ \frametitle{A Look at the Sample Document}
+ \begin{itemize}
+ \item Title, Author, Date
+ \item Abstract
+ \item Sections
+ \item Subsections
+ \item Appendix
+ \item References/Bibliography
+ \item Tables
+ \item Figures
+ \item Math
+ \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{The source \& compilation}
+ Write the following code into the file \texttt{draft.tex}.
+ \begin{lstlisting}
+ \documentclass{article}
+ \begin{document}
+ SciPy is open-source software for mathematics,
+ science, and engineering.
+ \end{document}
+ \end{lstlisting}
+ To compile the document, do the following in your terminal:
+ \begin{lstlisting}[language=bash]
+ $ pdflatex draft.tex
+ \end{lstlisting}
+ This produces the output file \texttt{draft.pdf} %%$
+ Note: \texttt{latex} command is often used to get \texttt{dvi}
+ output. Throughout this course, we shall use \texttt{pdflatex} to
+ compile our documents to \texttt{pdf} output.
+\end{frame}
+
+\section{Structure of the Document}
+
+\begin{frame}[fragile]
+ \frametitle{\lstinline+documentclass+}
+ \begin{itemize}
+ \item \LaTeX~typesets based on \lstinline{documentclass}
+ \item Defines structure and formatting of a document
+ \item \LaTeX~is a document based mark-up
+ \item Mark-up --- a system of annotating text, adding extra
+ information to specify structure and presentation of text
+ \item Document based markup $\rightarrow$ you don't have to worry
+ about each element individually
+ \item Allows you to focus on content, rather than appearance.
+ \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Environments and Commands}
+ \lstinline{document} is an environment, present in every document.
+ \begin{itemize}
+ \item Environments
+ \begin{itemize}
+ \item \lstinline{\begin} and \lstinline{\end} define the beginning
+ and end of an environment
+ \item All the content of the document is placed inside the
+ \lstinline{document} environment
+ \end{itemize}
+ \item Commands
+ \begin{itemize}
+ \item All commands begin with \textbackslash
+ \item They are case-sensitive
+ \item Only alpha caracthers; other characters terminate commands
+ \end{itemize}
+ \end{itemize}
+\end{frame}
+
+
+\begin{frame}[fragile]
+ \frametitle{Top Matter}
+ Let's add the Title, Author's name and the date to the document.
+ \begin{itemize}
+ \item Add title, author and date. Compile. Nothing changes.
+ \end{itemize}
+ \begin{lstlisting}
+ \title{A Glimpse at Scipy}
+ \author{FOSSEE}
+ \date{June 2010}
+ \end{lstlisting}
+ \tiny{See \texttt{hg} rev1 of draft.}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Top Matter \ldots}
+ \begin{itemize}
+ \item \lstinline{\maketitle} command inserts the top-matter.
+ \item Compile again.
+ \item If no date is specified, today's date is automatically
+ inserted.
+ \end{itemize}
+ \begin{lstlisting}
+ \begin{document}
+ \maketitle
+ SciPy is open-source software for mathematics, science, and engineering.
+ \end{document}
+ \end{lstlisting}
+ \tiny{See \texttt{hg} rev2 of draft.}
+\end{frame}
+
+
+\begin{frame}[fragile]
+ \frametitle{Abstract}
+ \begin{itemize}
+ \item The abstract environment is placed at the location where it's
+ put in the source.
+ \end{itemize}
+ \begin{lstlisting}
+ \begin{abstract}
+ This document shows a glimpse of the features of Scipy that will
+ be explored during this course.
+ \end{abstract}
+ \end{lstlisting}
+ \tiny See rev3 of \texttt{hg}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Sectioning}
+ \begin{itemize}
+ \item \lstinline{\section}, \lstinline{\subsection}
+ \lstinline{\subsubsection}
+ \item Auto numbered sections!
+ \item \* to prevent numbering of a section
+ \end{itemize}
+ \begin{lstlisting}
+ \section{A Glimpse of Scipy functions}
+ \subsection{Matrix Operations}
+ \subsubsection{Inverse}
+ \end{lstlisting}
+ \tiny See rev4 of \texttt{hg}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Sectioning \ldots}
+ \begin{itemize}
+ \item Longer documents, use \lstinline{report} or \lstinline{book}
+ class
+ \item Chapter can be added using \lstinline{\chapter}
+ \end{itemize}
+ \begin{lstlisting}
+ \documentclass{report}
+
+ \chapter{One}
+ \end{lstlisting}
+ \begin{itemize}
+ \item subsections do not get numbering
+ \item Change \lstinline{secnumdepth}
+ \end{itemize}
+ \begin{lstlisting}
+ \setcounter{secnumdepth}{3}
+ \end{lstlisting}
+ \tiny See rev5 of \texttt{hg}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Appendices}
+ \begin{itemize}
+ \item Anything following the \lstinline{\appendix} command is added
+ to the Appendix.
+ \end{itemize}
+ \begin{lstlisting}
+ \appendix
+
+ \section{Plotting using Pylab}
+ \end{lstlisting}
+ \tiny See rev7 of \texttt{hg}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Table of Contents [TOC]}
+ \begin{itemize}
+ \item Our document is short, but let's learn to add a TOC.
+ \item Add \lstinline{\tableofcontents} where you want TOC to
+ appear.
+ \item Compile.
+ \item Only headings appear. No page numbers.
+ \item A \lstinline{\.toc} file is generated.
+ \item Re-compile.
+ \item Any numbered section/block automatically appears
+ \end{itemize}
+ \tiny See rev8 of \texttt{hg}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{TOC \ldots}
+ \begin{itemize}
+ \item To add un-numbered sections, use \lstinline{\addcontentsline}
+ \end{itemize}
+ \begin{lstlisting}
+ \section*{Introduction}
+ \addcontentsline{toc}{section}{Intro}
+ \end{lstlisting}
+ \tiny See rev9 of \texttt{hg}
+\end{frame}
+
+\begin{frame}
+ \frametitle{Bibliography}
+ We shall look at Bibliographies, later in the course.
+\end{frame}
+
+\section{Typesetting Text}
+\begin{frame}[fragile]
+ \frametitle{Line breaks, Paragraphs}
+ \begin{itemize}
+ \item Add the text of second paragraph in the introduction section.
+ \item Compile.
+ \item An empty line starts a new para
+ \item New paragraphs are indented
+ \item Multiple spaces or empty lines are considered as one
+ \item To start a new line \lstinline{\\} or \lstinline{\newline}
+ \end{itemize}
+ \tiny See rev10 of \texttt{hg}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Quotation Marks}
+ \begin{itemize}
+ \item The quotation marks around Sigh Pie are not formatted properly
+ \item Use \`~ (accent) for left quote
+ \item Use \'~ (apostrophe) for right quote
+ \item For double quotes, use them twice
+ \end{itemize}
+ \begin{center}
+ \`~\`~Sigh Pie\'~\'~
+ \end{center}
+ \tiny See rev11 of \texttt{hg}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Fonts - Emphasis, Fixed width, \ldots}
+ \begin{itemize}
+ \item \lstinline{\emph} gives emphasized or italic text
+ \item \LaTeX environments can be nested
+ \item Let's add sub-package names as text, before learning to
+ typeset tables
+ \item Note multiple spacing won't work
+ \end{itemize}
+ \begin{lstlisting}
+ Subpackage - Description\\
+ cluster - Clustering algorithms\\
+ constants - Physical and mathematical constants\\
+ fftpack - Fast Fourier Transform routines\\
+ \end{lstlisting}
+ \begin{center}
+ \hspace{1in}\vdots
+ \end{center}
+ \tiny See rev12 of \texttt{hg}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Fonts - Emphasis, Fixed width, \ldots}
+ \begin{itemize}
+ \item Use \lstinline{\texttt} for sub-packages names - fixed width
+ \item \lstinline{\textbf} for bold face
+ \item \lstinline{-} can be replaced with \lstinline{--} or
+ \lstinline{---} for better formatting
+ \end{itemize}
+ \begin{lstlisting}
+ \textbf{Subpackage} --- \textbf{Description}\\
+ \texttt{cluster} --- Clustering algorithms\\
+ \texttt{constants} --- Physical and mathematical constants\\
+ \texttt{fftpack} --- Fast Fourier Transform routines\\
+ \end{lstlisting}
+ \begin{center}
+ \hspace{1in}\vdots
+ \end{center}
+ \tiny See rev13 of \texttt{hg}
+\end{frame}
+
+\subsection{Lists}
+\begin{frame}[fragile]
+ \frametitle{Lists}
+ \begin{itemize}
+ \item \lstinline{enumerate} environment is used for numbered lists
+ \item \lstinline{itemize} environment gives un-numbered lists
+ \item Each item in the list is specified using \lstinline{\item}
+ \item Nested lists are also easily handled, as expected
+ \item Example on next slide
+ \end{itemize}
+ \tiny See rev14 of \texttt{hg}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Lists \ldots}
+ \begin{lstlisting}
+ \begin{enumerate}
+ \item Plotting
+ \item Matrix Operations
+ \begin{itemize}
+ \item Inverse
+ \end{itemize}
+ \item Solving Equations
+ \begin{itemize}
+ \item System of Linear equations
+ \end{itemize}
+ \item Integration
+ \begin{itemize}
+ \item Quadrature
+ \item ODEs
+ \end{itemize}
+ \end{enumerate}
+ \end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Footnotes}
+ \begin{itemize}
+ \item Add footnote for \lstinline{pylab}
+ \item It's easily done using \lstinline{\footnote} command
+ \end{itemize}
+ \begin{lstlisting}
+ Plotting \footnote{using \texttt{pylab} - see Appendix A}
+ \end{lstlisting}
+ \begin{itemize}
+ \item We have just written down the name of the appendix
+ \item But if another section is added before it, the reference has
+ to be changed
+ \item \LaTeX provides labels and references
+ \end{itemize}
+ \tiny See rev15 of \texttt{hg}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Labels and References}
+ \begin{itemize}
+ \item First add a label to the section that we wish to refer to
+ \item \lstinline+\label{labelname}+
+ \item Change footnote to use the reference
+ \item \lstinline+\ref{labelname}+
+ \item Compile twice
+ \end{itemize}
+ \begin{lstlisting}
+ \section{Plotting using Pylab}\label{mpl}
+
+ Plotting \footnote{using \texttt{pylab} - see Appendix \ref{mpl}}
+ \end{lstlisting}
+ \tiny See rev15 of \texttt{hg}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Including code}
+ \begin{itemize}
+ \item Instead of using \lstinline{\texttt} we could use
+ \lstinline{\verbatim}
+ \item \lstinline{listings} is a powerful package
+ \item \lstinline+\usepackage{listings}+ needs to be added
+ \item Tell \LaTeX the language, you are going to use
+ \end{itemize}
+ \begin{lstlisting}
+ \usepackage{listings}
+ \lstset{language=Python,
+ basicstyle=\ttfamily\bfseries,
+ showstringspaces=false}
+ \end{lstlisting}
+ \tiny See rev16 of \texttt{hg}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Including code}
+ \begin{itemize}
+ \item Use \lstinline{lstlisting} for a block of code
+ \item \lstinline+\lstinline+ for inline code
+ \item Let's add the code to Appendix
+ \end{itemize}
+ \begin{lstlisting}
+ \begin{lstlisting.}
+ In []: x = linspace(0, 2*pi, 50)
+ In []: plot(x, sin(x))
+ In []: title('Sine Curve between 0 and $\pi$')
+ In []: legend(['sin(x)'])
+ \end{lstlisting.}
+ \end{lstlisting}
+ \tiny See rev16 of \texttt{hg}
+\end{frame}
+
+\section{Figures, Tables \& Floats}
+\begin{frame}[fragile]
+ \frametitle{Figures}
+ \begin{itemize}
+ \item Let's add the figure in the Appendix
+ \item \lstinline+\usepackage{graphicx}+
+ \item To add a graphic, use \lstinline{\includegraphics} command
+ \item We give the relative path to the \lstinline+.png+ image
+ \end{itemize}
+ \begin{lstlisting}
+ \usepackage{graphicx}
+
+ \begin{figure}[h!]
+ \begin{center}
+ \includegraphics[scale=0.4]{../sine.png}
+ \end{center}
+ \caption{Sine Curve}
+ \label{fig:sin}
+ \end{figure}
+ \end{lstlisting}
+
+ \tiny See rev17 of \texttt{hg}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{\lstinline{includgraphics}}
+ It takes following optional arguments
+ \begin{itemize}
+ \item \lstinline+scale+ --- specifies the factor by which to scale
+ the image
+ \item \lstinline+height+, \lstinline+width+ --- If only one of them
+ is specified, aspect ratio is maintained
+ \item \lstinline+keepaspectratio+ --- boolean value to keep aspect
+ ratio or not
+ \item \lstinline+angle+ --- specify by what angle the image should
+ be rotated
+ \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Floats}
+ \begin{itemize}
+ \item Graphics (\& Tables) are special because they cannot be broken
+ across pages
+ \item They are ``floated'' to the next page, if they don't fit in
+ the current page
+ \item Enclose graphic within \lstinline+figure+ environment to make
+ it float
+ \item Figure environment takes additional parameter for location of
+ float
+ \end{itemize}
+ \begin{table}
+ \caption{Permission Specifiers}
+
+ \begin{tabular}{|c|c|}
+ Specifier & Permission\\\hline
+ t & Top of page\\
+ b & Bottom of page\\
+ p & Separate page for floats\\
+ h & here (the same place where command appears in source)\\
+ ! & override \LaTeX's internal parameters for good position
+ \end{tabular}
+ \end{table}
+\end{frame}
+
+\begin{frame}
+ \frametitle{Captions and References}
+ \begin{itemize}
+ \item Figure environment allows us add a caption
+ \item To place the image in the center we enclose it in the
+ \lstinline+center+ environment
+ \item We can label images too
+ \item label shoule be added after the caption command
+ \item Figures are auto numbered
+ \end{itemize}
+ \tiny See rev17 of \texttt{hg}
+\end{frame}
+
+\subsection{Tables}
+
+\begin{frame}[frame]
+ \frametitle{Tables}
+ \begin{itemize}
+ \item \lstinline+tabular+ is used to typeset a table
+ \item It is enclosed in a \lstinline+table+ environment to make it a
+ float
+ \item \lstinline+table+ environment also gives captions, auto
+ numbering
+ \end{itemize}
+\end{frame}
+
+
+\begin{frame}[fragile]
+ \frametitle{\lstinline+tabular+}
+ \begin{itemize}
+ \item tabular takes formatting of each column as argument
+ \end{itemize}
+
+ \begin{table}
+ \caption{tabular environment}
+
+ \begin{tabular}{|l|l|}
+ \lstinline+l+ & left justified column content\\\hline
+ \lstinline+r+ & right justified column content\\\hline
+ \lstinline+c+ & centered column content\\\hline
+ \lstinline+|+ & produces a vertical line\\
+ \end{tabular}
+ \end{table}
+ \begin{itemize}
+ \item also takes an optional parameter for specifying position of
+ table
+ \item \lstinline+t+ for top, \lstinline+b+ for bottom, \lstinline+c+
+ for center
+ \item each column of table is separated by \&
+ \item each row is separated by newline \lstinline{\\}
+ \item \lstinline+\hline+ give a horizontal line between two rows
+ \end{itemize}
+ \tiny See rev18 of \texttt{hg}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{\lstinline+tabular+ \ldots}
+ \begin{lstlisting}
+ \begin{table}
+ \caption{Sub-packages available in Scipy}
+ \label{subpkg}
+ \begin{tabular}{|l|l|}
+ \hline
+ \textbf{Subpackage} & \textbf{Description}\\
+ \texttt{constants} & Physical and mathematical constants\\
+ \hline
+ \texttt{fftpack} & Fast Fourier Transform routines\\
+ \hline
+ \end{tabular}
+ \end{table}
+ \end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{List of Tables, Figures}
+ \begin{itemize}
+ \item \lstinline+listoftables+
+ \item \lstinline+listoffigures+
+ \end{itemize}
+\end{frame}
+
+
+\section{Typesetting Math}
+\begin{frame}[fragile]
+ \frametitle{Math in \LaTeX}
+ \begin{itemize}
+ \item Math is enclosed in a pair of \lstinline{$} signs o
+ \lstinline+\( \)+ %$
+ \item Used for typesetting inline Math.
+ \item \lstinline+\usepackage{amsmath}+
+ \item Let's now move on to matrices.
+ \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Matrices}
+ \begin{itemize}
+ \item \lstinline+\bmatrix+ is used to typeset the matrix A
+ \item It works similar to ta tabular environment
+ \item \lstinline+&+ for demarcating columns
+ \item \lstinline+\\+ for demwarcating rows
+ \end{itemize}
+ \begin{lstlisting}
+ Let $\mathbf{A}$ be the matrix
+ \(
+ \begin{bmatrix}
+ 1 &3 &5\\
+ 2 &5 &1\\
+ 2 &3 &8
+ \end{bmatrix}
+ \)
+ \end{lstlisting}
+ \tiny See rev19 of \texttt{hg}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Matrices \ldots}
+ \begin{itemize}
+ \item There are 5 other matrix environments
+ \end{itemize}
+ \begin{table}
+ \center
+ \begin{tabular}{c|c}
+ \lstinline+matrix+ & none\\
+ \lstinline+pmatrix+ & \lstinline+(+\\
+ \lstinline+Bmatrix+ & \lstinline+{+\\
+ \lstinline+vmatrix+ & \lstinline+|+\\
+ \lstinline+Vmatrix+ & \lstinline+||+
+ \end{tabular}
+ \end{table}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Superscripts \& Subscripts}
+ \begin{itemize}
+ \item \lstinline+^+ for superscripts
+ \item To have multiple characters as sub/superscript, enclose in
+ \lstinline+{ }+
+ \item \lstinline+_+ for subscripts
+ \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Summation \& integration}
+ \begin{itemize}
+ \item \lstinline+\sum+ command gives the summation symbol
+ \item The upper and lower limits are specified using the
+ \lstinline+^+ and \lstinline+_+ symbols.
+ \item Similarly the integral symbol is obtained using
+ \lstinline+\int+ command.
+ \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{\lstinline+displayed+ math}
+ \begin{itemize}
+ \item The equation in Determinants section is different.
+ \item It is a displayed equation.
+ \item \LaTeX~ or \lstinline+amsmath+ has a number of environments
+ for ``displaying'' equations, with minor differences.
+ \item In general, enclose math in \lstinline+\[+ and \lstinline+\]+
+ to get displayed math.
+ \item \lstinline+\begin*{equation}+ is equivalent to this.
+ \item Use \lstinline+\begin{equation}+ to get numbered
+ equations. %%\end{equation}
+ \end{itemize}
+ \begin{lstlisting}
+ \[ \left|\mathbf{A}\right|=\sum_{j}\left(-1\right)^{i+j}a_{ij}\mathbf{M}_{ij} \]
+ \end{lstlisting}
+ \tiny See rev20 of \texttt{hg}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Groups of equations}
+ \begin{itemize}
+ \item The \lstinline+equation+ environment allows typesetting of
+ just 1 equation.
+ \item \lstinline+eqnarray+ allows typesetting of multiple equations
+ \item It is similar to the \lstinline+table+ environment
+ \item The parts of the equation that need to be aligned are
+ indicated using \& symbol.
+ \item Each equation is separated by a \lstinline+\newline+ command
+ \end{itemize}
+ \begin{lstlisting}
+ \begin{eqnarray*}
+ x^3 - 2x^2 - \frac{1}{2}x + 1 = 0\\
+ x^2(x-2) - \frac{1}{2}(x-2) = 0\\
+ (x-2)(x^2 - \frac{1}{2}) = 0\\
+ (x-2)(x - \frac{1}{\sqrt{2}})(x + \frac{1}{\sqrt{2}}) = 0
+ \end{eqnarray*}
+ \end{lstlisting}
+ \tiny See rev21, 22 of \texttt{hg}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Fractions \& Surds}
+ \begin{itemize}
+ \item Fractions are typeset using \lstinline+\frac+ command
+ \item \lstinline+\frac{numerator}{denominator}+ is typeset as
+ $\frac{numerator}{denominator}$
+ \item Surds are typeset using \lstinline+\sqrt[n]+ command
+ \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Greek characters \& Spacing}
+ \begin{itemize}
+ \item Typesetting Greek characters is simple
+ \item \lstinline+\alpha+, \lstinline+\beta+, \lstinline+\gamma+,
+ \ldots \lstinline+\Alpha+, \lstinline+\Beta+, \lstinline+\Gamma+
+ \ldots
+ \item To get additional spacing in Math environments ---
+\begin{center}
+\begin{tabular}{|l|l|l|}
+\hline
+ Abbrev. & Spelled out & Example \\
+\hline
+ \lstinline+\,+ & \lstinline+\thinspace+ & $A\,B$ \\
+\hline
+ \lstinline+\:+ & \lstinline+\medspace+ & $A\:B$ \\
+\hline
+ \lstinline+\;+ & \lstinline+\thickspace+ & $A\;B$ \\
+\hline
+ & \lstinline+\quad+ & $A \quad B$ \\
+\hline
+ & \lstinline+\qquad+ & $A \qquad B$ \\
+\hline
+ \lstinline+\!+ & \lstinline+\negthinspace+ & $A!B$ \\
+\hline
+ & \lstinline+\negmedspace+ & $A \negmedspace B$ \\
+\hline
+ & \lstinline+\negthickspace+ & $A \negthickspace B$ \\
+\hline
+
+\end{tabular}
+\end{center}
+ \end{itemize}
+\end{frame}
+
+\section{Bibliography}
+\begin{frame}[fragile]
+ \frametitle{Bibliography}
+ \begin{itemize}
+ \item \lstinline+thebibliography+ environment provides a clean and
+ simple way to add a bibliography to \LaTeX documents.
+ \item \lstinline+\begin{thebibliography}+ takes as argument the
+ maximum with of the label that references will have.
+ \item Each item of the Bibliography is similar to an item in a
+ list.
+ \item \lstinline+\bibitem[label]{name}+ followed by the actual
+ reference info.
+ \item label replaces auto enumeration numbers
+ \item \lstinline+\cite{name}+ is used to \lstinline+cite+ the
+ \lstinline+bibitem+
+ \item You will need to compile twice.
+ \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Bibliography}
+ \begin{lstlisting}
+ \begin{thebibliography}{9}
+ \bibitem{scipy}
+ Eric Jones and Travis Oliphant and Pearu Peterson and others,
+ \emph{SciPy: Open source scientific tools for Python}, 2001 -- ,
+ \url{http://www.scipy.org/}
+ \end{lstlisting}
+ \tiny See rev23 of \texttt{hg}
+\end{frame}
+
+\section{Presentations - Beamer}
+\begin{frame}[fragile]
+ \frametitle{Beamer}
+ \begin{itemize}
+ \item Use beamer since your report's \LaTeX~ would be re-usable.
+ \item It is recommended to start with on of the beamer templates.
+ \item Let's look at speaker introduction template.
+ \item \lstinline+\documentclass{beamer}+ tells \LaTeX~ to start a
+ beamer presentation.
+ \item A beamer document is very similar to any other \LaTeX~
+ document except that content is divided into slides.
+ \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Beamer \ldots}
+ \begin{itemize}
+ \item \lstinline+\usetheme+ command is used to specify the theme of the
+ presentation.
+ \item \lstinline+\usecolortheme+ command is used to specify the color
+ theme.
+ \item The content of a slide is enclosed within
+ \lstinline+\begin{frame}{Title}{Subtitle}+ and
+ \lstinline+\end{frame}+
+ \item If the slide contains \lstinline+verbatim+
+ \lstinline+lstlisting+ environments, the \lstinline+\begin{frame}+
+ should be passed an additional argument \lstinline+[fragile]+
+ \item Overlays can be achieved using the \lstinline+\pause+
+ command.
+ \item To achieve more with beamer, it is highly recommended that you
+ look at the \texttt{beameruserguide}
+ \end{itemize}
+\end{frame}
+
+\end{document}
+