--- a/day2/session3.tex Fri Nov 06 20:15:14 2009 +0530
+++ b/day2/session3.tex Tue Nov 10 12:21:29 2009 +0530
@@ -1,33 +1,48 @@
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%Tutorial slides on Python.
+% Tutorial slides on Python.
%
-% Author: FOSSEE
-% Copyright (c) 2009, FOSSEE, IIT Bombay
+% Author: Prabhu Ramachandran <prabhu at aero.iitb.ac.in>
+% Copyright (c) 2005-2009, Prabhu Ramachandran
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\documentclass[14pt,compress]{beamer}
-%\documentclass[draft]{beamer}
-%\documentclass[compress,handout]{beamer}
-%\usepackage{pgfpages}
-%\pgfpagesuselayout{2 on 1}[a4paper,border shrink=5mm]
+\documentclass[compress,14pt]{beamer}
+% \documentclass[handout]{beamer}
+% \usepackage{pgfpages}
+% \pgfpagesuselayout{4 on 1}[a4paper,border, shrink=5mm,landscape]
+\usepackage{tikz}
+\newcommand{\hyperlinkmovie}{}
+%\usepackage{movie15}
-% Modified from: generic-ornate-15min-45min.de.tex
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Note that in presentation mode
+% \paperwidth 364.19536pt
+% \paperheight 273.14662pt
+% h/w = 0.888
+
+
\mode<presentation>
{
\usetheme{Warsaw}
+ %\usetheme{Boadilla}
+ %\usetheme{default}
\useoutertheme{infolines}
\setbeamercovered{transparent}
}
+% To remove navigation symbols
+\setbeamertemplate{navigation symbols}{}
+
+\usepackage{amsmath}
\usepackage[english]{babel}
\usepackage[latin1]{inputenc}
-%\usepackage{times}
+\usepackage{times}
\usepackage[T1]{fontenc}
% Taken from Fernando's slides.
\usepackage{ae,aecompl}
\usepackage{mathpazo,courier,euler}
\usepackage[scaled=.95]{helvet}
+\usepackage{pgf}
\definecolor{darkgreen}{rgb}{0,0.5,0}
@@ -40,50 +55,65 @@
keywordstyle=\color{blue}\bfseries}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% Macros
+% My Macros
+\setbeamercolor{postit}{bg=yellow,fg=black}
\setbeamercolor{emphbar}{bg=blue!20, fg=black}
\newcommand{\emphbar}[1]
{\begin{beamercolorbox}[rounded=true]{emphbar}
{#1}
\end{beamercolorbox}
}
+%{\centerline{\fcolorbox{gray!50} {blue!10}{
+%\begin{minipage}{0.9\linewidth}
+% {#1}
+%\end{minipage}
+% }}}
+
+\newcommand{\myemph}[1]{\structure{\emph{#1}}}
+\newcommand{\PythonCode}[1]{\lstinline{#1}}
+
+\newcommand{\tvtk}{\texttt{tvtk}}
+\newcommand{\mlab}{\texttt{mlab}}
+
\newcounter{time}
\setcounter{time}{0}
-\newcommand{\inctime}[1]{\addtocounter{time}{#1}{\tiny \thetime\ m}}
-
-\newcommand{\typ}[1]{\texttt{#1}}
-
-\newcommand{\kwrd}[1]{ \texttt{\textbf{\color{blue}{#1}}} }
+\newcommand{\inctime}[1]{\addtocounter{time}{#1}{\vspace*{0.1in}\tiny \thetime\ m}}
-%%% This is from Fernando's setup.
-% \usepackage{color}
-% \definecolor{orange}{cmyk}{0,0.4,0.8,0.2}
-% % Use and configure listings package for nicely formatted code
-% \usepackage{listings}
-% \lstset{
-% language=Python,
-% basicstyle=\small\ttfamily,
-% commentstyle=\ttfamily\color{blue},
-% stringstyle=\ttfamily\color{orange},
-% showstringspaces=false,
-% breaklines=true,
-% postbreak = \space\dots
-% }
+\newcommand\BackgroundPicture[1]{%
+ \setbeamertemplate{background}{%
+ \parbox[c][\paperheight]{\paperwidth}{%
+ \vfill \hfill
+ \hfill \vfill
+}}}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Configuring the theme
+%\setbeamercolor{normal text}{fg=white}
+%\setbeamercolor{background canvas}{bg=black}
+
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Title page
-\title[Basic Python]{Python language: Data structures and functions}
+\title[3D Plotting]{3D data Visualization}
-\author[FOSSEE Team] {The FOSSEE Group}
+\author[FOSSEE] {FOSSEE}
\institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay}
-\date[] {8 November, 2009\\Day 2, Session 3}
+\date[] {8 November, 2009\\Day 2, Session 5}
+
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%\pgfdeclareimage[height=0.75cm]{iitmlogo}{iitmlogo}
-%\logo{\pgfuseimage{iitmlogo}}
+%\pgfdeclareimage[height=0.75cm]{iitblogo}{iitblogo}
+%\logo{\pgfuseimage{iitblogo}}
+\AtBeginSection[]
+{
+ \begin{frame}<beamer>
+ \frametitle{Outline}
+ \tableofcontents[currentsection,currentsubsection]
+ \end{frame}
+}
%% Delete this, if you do not want the table of contents to pop up at
%% the beginning of each subsection:
@@ -102,19 +132,12 @@
\tableofcontents[currentsection,currentsubsection]
\end{frame}
}
-
-% If you wish to uncover everything in a step-wise fashion, uncomment
-% the following command:
-%\beamerdefaultoverlayspecification{<+->}
-
-%\includeonlyframes{current,current1,current2,current3,current4,current5,current6}
-
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% DOCUMENT STARTS
\begin{document}
\begin{frame}
- \titlepage
+ \maketitle
\end{frame}
\begin{frame}
@@ -123,325 +146,419 @@
% You might wish to add the option [pausesections]
\end{frame}
-\section{Functions}
-\subsection{Default arguments}
-\begin{frame}[fragile]
- \frametitle{Functions: default arguments}
- \begin{lstlisting}
-In []: greet = 'hello world'
+\section{3D Data Visualization}
-In []: greet.split()
-Out[]: ['hello', 'world']
-
-In []: line = 'Rossum, Guido, 54, 46, 55'
-
-In []: line.split(',')
-Out[]: ['Rossum', ' Guido', ' 54',
- ' 46', ' 55']
- \end{lstlisting}
+\begin{frame}
+ \frametitle{What is visualization?}
+ \Large
+ \begin{center}
+ Visual representation of data
+ \end{center}
\end{frame}
-\begin{frame}[fragile]
- \frametitle{Functions: default arguments \ldots}
- \small
- \begin{lstlisting}
-def ask_ok(prompt, complaint='Yes or no!'):
- while True:
- ok = raw_input(prompt)
- if ok in ('y', 'ye', 'yes'):
- return True
- if ok in ('n', 'no', 'nop',
- 'nope'):
- return False
- print complaint
-
-ask_ok('?')
-ask_ok('?', '[Y/N]')
- \end{lstlisting}
-\end{frame}
-\subsection{Keyword arguments}
-\begin{frame}[fragile]
- \frametitle{Functions: Keyword arguments}
-We have seen the following
- \begin{lstlisting}
-In []: legend(['sin(2y)'],
- loc='center')
-In []: plot(y, sin(y), 'g',
- linewidth=2)
-In []: annotate('local max',
- xy=(1.5, 1))
-In []: pie(science.values(),
- labels=science.keys())
- \end{lstlisting}
-\end{frame}
+%% \begin{frame}
+%% \frametitle{Is this new?}
+%% \begin{center}
+%% We have moved from:
+%% \end{center}
+%% \begin{columns}
+%% \column{}
+%% \hspace*{-1in}
+%% \includegraphics[width=1.75in,height=1.75in, interpolate=true]{data/3832}
+%% \column{}\hspace*{-0.25in}
+%% To
+%% \column{}
+%% \hspace*{-1in}
+%% \includegraphics[width=1.75in, height=1.75in, interpolate=true]{data/torus}
+%% \end{columns}
+%% \end{frame}
-\begin{frame}[fragile]
- \frametitle{Functions: keyword arguments \ldots}
- \small
- \begin{lstlisting}
-def ask_ok(prompt, complaint='Yes or no!'):
- while True:
- ok = raw_input(prompt)
- if ok in ('y', 'ye', 'yes'):
- return True
- if ok in ('n', 'no', 'nop',
- 'nope'):
- return False
- print complaint
-
-ask_ok(prompt='?')
-ask_ok(prompt='?', complaint='[y/n]')
-ask_ok(complaint='[y/n]', prompt='?')
-\end{lstlisting}
+\begin{frame}
+ \frametitle{3D visualization}
+ \Large
+ \begin{center}
+ Harder but important
+ \end{center}
\end{frame}
-\subsection{Built-in functions}
\begin{frame}
- {Before writing a function}
- \begin{itemize}
- \item Variety of builtin functions are available
- \item \typ{abs, any, all, len, max, min}
- \item \typ{pow, range, sum, type}
- \item Refer here:
- \url{http://docs.python.org/library/functions.html}
- \end{itemize}
- \inctime{10}
-\end{frame}
-
-\subsection{Exercises}
-\begin{frame}{Problem set 3: Problem 3.1}
- Write a function to return the gcd of two numbers.
+ \frametitle{Is this Graphics?}
+ \Large
+ \begin{center}
+ Visualization is about data!
+ \end{center}
\end{frame}
-\begin{frame}{Problem 3.2}
-Write a program to print all primitive pythagorean triads (a, b, c) where a, b are in the range 1---100 \\
-A pythagorean triad $(a,b,c)$ has the property $a^2 + b^2 = c^2$.\\By primitive we mean triads that do not `depend' on others. For example, (4,3,5) is a variant of (3,4,5) and hence is not primitive. And (10,24,26) is easily derived from (5,12,13) and is also not primitive.
-\end{frame}
-
-\begin{frame}{Problem 3.3}
- Write a program that generates a list of all four digit numbers that have all their digits even and are perfect squares.\newline\\\emph{For example, the output should include 6400 but not 8100 (one digit is odd) or 4248 (not a perfect square).}
-\inctime{15}
-\end{frame}
-
-\section{Modules}
-\begin{frame}[fragile]
- \frametitle{\typ{from} \ldots \typ{import} magic}
- \begin{lstlisting}
-from scipy.interpolate import splrep
-from scipy.interpolate import splev
-
-from scipy.integrate import quad
-from scipy.integrate import odeint
-
-from scipy.optimize import fsolve
- \end{lstlisting}
-\emphbar{All the above statements import one function into your namespace}
+\begin{frame}
+ \frametitle{Examples: trajectory in space}
+ \Large
+ \begin{center}
+ \pgfimage[width=2.5in]{MEDIA/m2/mlab/plot3d_ex}
+ \end{center}
\end{frame}
-\begin{frame}[fragile]
- \frametitle{Running scripts from command line}
- \small
- \begin{itemize}
- \item Start cmd
- \item cd to Desktop
- \item python sine\_plot.py
- \end{itemize}
- \pause
- \begin{lstlisting}
-Traceback (most recent call last):
- File "sine_plot.py", line 1, in <module>
- x = linspace(-5*pi, 5*pi, 500)
-NameError: name 'linspace' is not defined
- \end{lstlisting}
+\begin{frame}
+ \frametitle{Examples: Fire in a room}
+ \Large
+ \begin{center}
+ Demo of data
+ \end{center}
+\inctime{10}
\end{frame}
-\begin{frame}[fragile]
- \frametitle{Remedy}
- \emphbar{Adding what lines to sine\_plot.py makes this program work?}
- \begin{lstlisting}
-from scipy import *
- \end{lstlisting}
-\alert{Now run python sine\_plot.py again!}
- \pause
- \begin{lstlisting}
-Traceback (most recent call last):
- File "sine_plot.py", line 4, in <module>
- plot(x, x, 'b')
-NameError: name 'plot' is not defined
- \end{lstlisting}
-\end{frame}
+\section{Tools available}
+
+\subsection{mlab}
-\begin{frame}[fragile]
- \frametitle{Remedy \ldots}
- \emphbar{What should we add now?}
- \begin{lstlisting}
-from pylab import *
- \end{lstlisting}
-\alert{Now run python sine\_plot.py again!!}
-\end{frame}
-
-\begin{frame}[fragile]
- \frametitle{Modules}
- \begin{itemize}
- \item The \kwrd{import} keyword ``loads'' a module
- \item One can also use:
- \begin{lstlisting}
-In []: from scipy import *
-In []: from scipy import linspace
- \end{lstlisting}
- \item What is the difference?
- \item \alert{Use the former only in interactive mode}
+\begin{frame}
+ {Overview}
+ \Large
+ \begin{itemize}
+ \item Simple
+ \item Convenient
+ \item Full-featured
\end{itemize}
\end{frame}
\begin{frame}[fragile]
- \frametitle{Package hierarchies}
- \begin{lstlisting}
-from scipy.interpolate import splev
+
+ \frametitle{Getting started}
+ \myemph{\Large Vanilla:}
+ \begin{lstlisting}[language=bash]
+ $ ipython -wthread
+ \end{lstlisting}
+ \myemph{\Large with Pylab:}
+ \begin{lstlisting}[language=bash]
+ $ ipython -pylab -wthread
+ \end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Using mlab}
+
+ \begin{lstlisting}
+In []:from enthought.mayavi import mlab
+ \end{lstlisting}
+
+ \vspace*{0.5in}
+
+ \myemph{\Large Try these}
+
+ \vspace*{0.25in}
+
+ \begin{lstlisting}
+In []: mlab.test_<TAB>
+In []: mlab.test_contour3d()
+In []: mlab.test_contour3d??
+ \end{lstlisting}
+\end{frame}
+
+\begin{frame}
+ {Exploring the view}
+ \begin{columns}
+ \column{0.6\textwidth}
+ \pgfimage[width=3in]{MEDIA/m2/contour3d}
+ \column{0.4\textwidth}
+ \begin{itemize}
+ \item Mouse
+ \item Keyboard
+ \item Toolbar
+ \item Mayavi icon\pgfimage[width=0.2in]{MEDIA/m2/m2_icon}
+ \end{itemize}
+ \end{columns}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Clearing the plot area}
+ \PythonCode{In []: mlab.clf()}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{\mlab\ plotting functions}
+ \begin{columns}
+ \column{0.25\textwidth}
+ \myemph{\Large 0D data}
+ \column{0.5\textwidth}
+ \pgfimage[width=2in]{MEDIA/m2/mlab/points3d_ex}
+ \end{columns}
+
+ \begin{lstlisting}
+In []: t = linspace(0, 2*pi, 50)
+In []: u = cos(t) * pi
+In []: x, y, z = sin(u), cos(u), sin(t)
+ \end{lstlisting}
+ \emphbar{\PythonCode{In []: mlab.points3d(x, y, z)}}
+\end{frame}
-from scipy.integrate import quad
+\begin{frame}
+ \begin{columns}
+ \column{0.25\textwidth}
+ \myemph{\Large 1D data}
+ \column{0.5\textwidth}
+ \pgfimage[width=2.5in]{MEDIA/m2/mlab/plot3d_ex}
+ \end{columns}
+ \PythonCode{In []: mlab.clf()}
+ \emphbar{\PythonCode{In []: mlab.plot3d(x, y, z, t)}}
+
+ Plots lines between the points
+
+\end{frame}
+
+\begin{frame}[fragile]
+ \begin{columns}
+ \column{0.25\textwidth}
+ \myemph{\Large 2D data}
+ \column{0.5\textwidth}
+ \pgfimage[width=2in]{MEDIA/m2/mlab/surf_ex}
+ \end{columns}
+ \begin{lstlisting}
+In []: x, y = mgrid[-3:3:100j,-3:3:100j]
+In []: z = sin(x*x + y*y)
+ \end{lstlisting}
+
+ \emphbar{\PythonCode{In []: mlab.surf(x, y, z)}}
+
+ \alert{Assumes the points are rectilinear}
+
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{mgrid}
+ \begin{lstlisting}
+In []: mgrid[0:3,0:3]
+Out[]:
+array([[[0, 0, 0],
+ [1, 1, 1],
+ [2, 2, 2]],
-from scipy.optimize import fsolve
- \end{lstlisting}
+ [[0, 1, 2],
+ [0, 1, 2],
+ [0, 1, 2]]])
+
+In []: mgrid[-1:1:5j]
+Out[]: array([-1., -0.5, 0., 0.5, 1.])
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Example}
+ \begin{lstlisting}
+In []: x, y = mgrid[-1:1:5j, -1:1:5j]
+In []: z = x*x + y*y
+
+In []: z
+Out[]:
+array([[ 2. , 1.25, 1. , 1.25, 2. ],
+ [ 1.25, 0.5 , 0.25, 0.5 , 1.25],
+ [ 1. , 0.25, 0. , 0.25, 1. ],
+ [ 1.25, 0.5 , 0.25, 0.5 , 1.25],
+ [ 2. , 1.25, 1. , 1.25, 2. ]])
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ \myemph{\Large 2D data: \texttt{mlab.mesh}}
+ \vspace*{0.25in}
+
+ \emphbar{\PythonCode{In []: mlab.mesh(x, y, z)}}
+
+ \alert{Points needn't be regular}
+
+ \vspace*{0.25in}
+\begin{lstlisting}
+In []: phi, theta = mgrid[0:pi:20j,
+... 0:2*pi:20j]
+In []: x = sin(phi)*cos(theta)
+In []: y = sin(phi)*sin(theta)
+In []: z = cos(phi)
+In []: mlab.mesh(x, y, z,
+... representation=
+... 'wireframe')
+\end{lstlisting}
+
\end{frame}
\begin{frame}[fragile]
- \frametitle{from \ldots import in a conventional way!}
- \small
- \begin{lstlisting}
-from scipy import linspace, pi, sin
-from pylab import plot, legend, annotate
-from pylab import xlim, ylim
-x = linspace(-5*pi, 5*pi, 500)
-plot(x, x, 'b')
-plot(x, -x, 'b')
-plot(x, sin(x), 'g', linewidth=2)
-plot(x, x*sin(x), 'r', linewidth=3)
-legend(['x', '-x', 'sin(x)', 'xsin(x)'])
-annotate('origin', xy = (0, 0))
-xlim(-5*pi, 5*pi)
-ylim(-5*pi, 5*pi)
- \end{lstlisting}
+ \begin{columns}
+ \column{0.25\textwidth}
+ \myemph{\Large 3D data}
+ \column{0.5\textwidth}
+ \pgfimage[width=1.5in]{MEDIA/m2/mlab/contour3d}\\
+ \end{columns}
+\begin{lstlisting}
+In []: x, y, z = mgrid[-5:5:64j,
+... -5:5:64j,
+... -5:5:64j]
+In []: mlab.contour3d(x*x*0.5 + y*y +
+ z*z*2)
+\end{lstlisting}
\end{frame}
\begin{frame}[fragile]
- \frametitle{from \ldots import in a conventional way!}
- \small
- \begin{lstlisting}
-import scipy
-import pylab
+
+ \myemph{\Large 3D vector data: \PythonCode{mlab.quiver3d}}
+ \vspace*{0.25in}
+
+ \pgfimage[width=2in]{MEDIA/m2/mlab/quiver3d_ex}\\
+
+\begin{lstlisting}
+In []: mlab.test_quiver3d()
+\end{lstlisting}
+
+\emphbar{\PythonCode{obj = mlab.quiver3d(x, y, z, u, v, w)}}
+\inctime{20}
+\end{frame}
+
+
+\subsection{Mayavi2}
+
+\begin{frame}
+ \frametitle{Introduction to Mayavi}
+ \begin{itemize}
+ \item Most scientists not interested in details of visualization
+ \item Visualization of data files with a nice UI
+ \item Interactive visualization of data (think Matlab)
+ \item Embedding visualizations in applications
+ \item Customization
+ \end{itemize}
+ \pause
+ \begin{block}{The Goal}
+ Provide a \alert{flexible} library/app for all of these needs!
+ \end{block}
+\end{frame}
+
+\begin{frame}
+ {Overview of features}
+ \vspace*{-0.3in}
+ \begin{center}
+ \hspace*{-0.2in}\pgfimage[width=5in]{MEDIA/m2/m2_app3_3}
+ \end{center}
+\end{frame}
+
+
+\begin{frame}
+ \frametitle{Mayavi in applications}
+ \vspace*{-0.3in}
+ \begin{center}
+ \hspace*{-0.2in}\pgfimage[width=4.5in]{MEDIA/m2/m2_envisage}
+ \end{center}
+\end{frame}
+
+\begin{frame}
+ \frametitle{Live in your dialogs}
+ \vspace*{0.1in}
+ \begin{center}
+ \hspace*{-0.2in}\pgfimage[width=2.5in]{MEDIA/m2/mlab_tui}
+ \end{center}
+\end{frame}
+
+\begin{frame}
+ {Exploring the documentation}
+ \begin{center}
+ \pgfimage[width=4in]{MEDIA/m2/m2_ug_doc}
+ \end{center}
+\end{frame}
+
-x = scipy.linspace(-5*scipy.pi, 5*scipy.pi, 500)
-pylab.plot(x, x, 'b')
-pylab.plot(x, -x, 'b')
-pylab.plot(x, scipy.sin(x), 'g', linewidth=2)
-pylab.plot(x, x*scipy.sin(x), 'r', linewidth=3)
-pylab.legend(['x', '-x', 'sin(x)', 'xsin(x)'])
-pylab.annotate('origin', xy = (0, 0))
-pylab.xlim(-5*scipy.pi, 5*scipy.pi)
-pylab.ylim(-5*scipy.pi, 5*scipy.pi)
+\begin{frame}
+ \frametitle{Summary}
+ \begin{itemize}
+ \item \url{http://code.enthought.com/projects/mayavi}
+ \item Uses VTK (\url{www.vtk.org})
+ \item BSD license
+ \item Linux, win32 and Mac OS X
+ \item Highly scriptable
+ \item Embed in Traits UIs (wxPython and PyQt4)
+ \item Envisage Plugins
+ \item Debian/Ubuntu/Fedora
+ \item \alert{Pythonic}
+ \end{itemize}
+
+ \inctime{10}
+
+\end{frame}
+
+\begin{frame}
+ {Getting hands dirty!}
+
+ \begin{block}{Motivational problem}
+ Atmospheric data of temperature over the surface of the earth.
+ Let temperature ($T$) vary linearly with height ($z$):
+ \begin{center}
+ $T = 288.15 - 6.5z$
+ \end{center}
+ \end{block}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Simple solution}
+
+ \begin{lstlisting}
+lat = linspace(-89, 89, 37)
+lon = linspace(0, 360, 37)
+z = linspace(0, 100, 11)
+ \end{lstlisting}
+\pause
+ \begin{lstlisting}
+x, y, z = mgrid[0:360:37j,-89:89:37j,
+ 0:100:11j]
+t = 288.15 - 6.5*z
+mlab.contour3d(x, y, z, t)
+mlab.outline()
+mlab.colorbar()
+ \end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Exercise: Lorenz equation}
+ \begin{columns}
+ \column{0.25\textwidth}
+ \begin{eqnarray*}
+ \frac{d x}{dt} &=& s (y-x)\\
+ \frac{d y}{d t} &=& rx -y -xz\\
+ \frac{d z}{d t} &=& xy - bz\\
+ \end{eqnarray*}
+ \column{0.25\textwidth}
+ Let $s=10,$
+ $r=28,$
+ $b=8./3.$
+ \end{columns}
+ \structure{\Large Region of interest}
+ \begin{lstlisting}
+x, y, z = mgrid[-50:50:20j,-50:50:20j,
+ -10:60:20j]
+ \end{lstlisting}
+\inctime{20}
+
+\end{frame}
+\begin{frame}[fragile]
+ \frametitle{Solution}
+ \begin{lstlisting}
+def lorenz(x,y,z,s=10.,r=28.,b=8./3.):
+ u = s*(y-x)
+ v = r*x-y-x*z
+ w = x*y-b*z
+ return u,v,w
+x,y,z = mgrid [-50:50:20j,-50:50:20j,
+ -10:60:20j ]
+u,v,w = lorenz( x , y , z )
+# Your plot here
+#
+mlab.show()
+
\end{lstlisting}
\end{frame}
\begin{frame}
- \frametitle{Modules: Standard library}
+ \frametitle{We have covered:}
\begin{itemize}
- \item Very powerful, ``Batteries included''
- \item Some standard modules:
- \begin{itemize}
- \item Math: \typ{math}, \typ{random}
- \item Internet access: \typ{urllib2}, \typ{smtplib}
- \item System, Command line arguments: \typ{sys}
- \item Operating system interface: \typ{os}
- \item Regular expressions: \typ{re}
- \item Compression: \typ{gzip}, \typ{zipfile}, and \typ{tarfile}
- \item And a whole lot more!
- \end{itemize}
- \item Check out the Python Library reference:
- \url{http://docs.python.org/library/}
- \end{itemize}
-\inctime{5}
-\end{frame}
-
-\begin{frame}[fragile]
- \frametitle{Modules of special interest}
- \begin{description}[matplotlibfor2d]
- \item[\typ{pylab}] Easy, interactive, 2D plotting
-
- \item[\typ{scipy}] arrays, statistics, optimization, integration, linear
- algebra, Fourier transforms, signal and image processing,
- genetic algorithms, ODE solvers, special functions, and more
-
- \item[\typ{Mayavi}] Easy, interactive, 3D plotting
- \end{description}
-\end{frame}
-
-\section{Objects}
-\begin{frame}{Everything is an Object!}
- \begin{itemize}
- \item \typ{int}
- \item \typ{float}
- \item \typ{str}
- \item \typ{list}
- \item \typ{tuple}
- \item \typ{string}
- \item \typ{dictionary}
- \item \typ{function}
- \item User defined class is also an object!
- \end{itemize}
-\end {frame}
-
-\begin{frame}[fragile]
-\frametitle{Using Objects}
- \begin{itemize}
- \item Creating Objects
- \begin{itemize}
- \item Initialization
- \end{itemize}
- \begin{lstlisting}
-In []: a = str()
-
-In []: b = "Hello World"
- \end{lstlisting}
- \item Object Manipulation
- \begin{itemize}
- \item Object methods
- \item ``.'' operator
- \end{itemize}
- \begin{lstlisting}
-In []: "Hello World".split()
-Out[]: ['Hello', 'World']
- \end{lstlisting}
+ \item Need of visualization.
+ \item Using mlab to create 3 D plots.
+ \item Mayavi Toolkit.
\end{itemize}
\end{frame}
-\begin{frame}[fragile]
- \frametitle{Objects provide consistency}
- \small
- \begin{lstlisting}
-for element in (1, 2, 3):
- print element
-for key in {'one':1, 'two':2}:
- print key
-for char in "123":
- print char
-for line in open("myfile.txt"):
- print line
-for line in urllib2.urlopen('http://site.com'):
- print line
- \end{lstlisting}
- \inctime{10}
-\end{frame}
+\end{document}
-\begin{frame}
- \frametitle{What did we learn?}
- \begin{itemize}
- \item Functions: Default and Keyword arguments
- \item Modules
- \item Objects
- \end{itemize}
-\end{frame}
-
-\end{document}
\ No newline at end of file