day1/session3.tex
author Puneeth Chaganti <punchagan@fossee.in>
Thu, 09 Dec 2010 23:11:12 +0530
branchscipyin2010
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%Tutorial slides on Python.
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%
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% Author: FOSSEE 
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% Copyright (c) 2009, FOSSEE, IIT Bombay
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\documentclass[14pt,compress]{beamer}
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%\documentclass[draft]{beamer}
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%\documentclass[compress,handout]{beamer}
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%\usepackage{pgfpages} 
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%\pgfpagesuselayout{2 on 1}[a4paper,border shrink=5mm]
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% Modified from: generic-ornate-15min-45min.de.tex
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\mode<presentation>
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{
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  \usetheme{Warsaw}
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  \useoutertheme{infolines}
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  \setbeamercovered{transparent}
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}
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\usepackage[english]{babel}
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\usepackage[latin1]{inputenc}
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%\usepackage{times}
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\usepackage[T1]{fontenc}
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\usepackage{amsmath}
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% Taken from Fernando's slides.
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\usepackage{ae,aecompl}
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\usepackage{mathpazo,courier,euler}
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\usepackage[scaled=.95]{helvet}
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\definecolor{darkgreen}{rgb}{0,0.5,0}
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\usepackage{listings}
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\lstset{language=Python,
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    basicstyle=\ttfamily\bfseries,
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    commentstyle=\color{red}\itshape,
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  stringstyle=\color{darkgreen},
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  showstringspaces=false,
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  keywordstyle=\color{blue}\bfseries}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% Macros
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\setbeamercolor{emphbar}{bg=blue!20, fg=black}
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\newcommand{\emphbar}[1]
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{\begin{beamercolorbox}[rounded=true]{emphbar} 
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      {#1}
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 \end{beamercolorbox}
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}
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\newcounter{time}
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\setcounter{time}{0}
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\newcommand{\inctime}[1]{\addtocounter{time}{#1}{\tiny \thetime\ m}}
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\newcommand{\typ}[1]{\lstinline{#1}}
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\newcommand{\kwrd}[1]{ \texttt{\textbf{\color{blue}{#1}}}  }
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%%% This is from Fernando's setup.
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% \usepackage{color}
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% \definecolor{orange}{cmyk}{0,0.4,0.8,0.2}
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% % Use and configure listings package for nicely formatted code
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% \usepackage{listings}
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% \lstset{
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%    language=Python,
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%    basicstyle=\small\ttfamily,
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%    commentstyle=\ttfamily\color{blue},
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%    stringstyle=\ttfamily\color{orange},
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%    showstringspaces=false,
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%    breaklines=true,
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%    postbreak = \space\dots
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% }
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% Title page
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\title[Arrays]{Python for Science and Engg: \\Arrays}
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\author[FOSSEE] {FOSSEE}
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\institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay}
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\date[] {SciPy.in 2010, Tutorials}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%\pgfdeclareimage[height=0.75cm]{iitmlogo}{iitmlogo}
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%\logo{\pgfuseimage{iitmlogo}}
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%% Delete this, if you do not want the table of contents to pop up at
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%% the beginning of each subsection:
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\AtBeginSubsection[]
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{
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  \begin{frame}<beamer>
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    \frametitle{Outline}
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    \tableofcontents[currentsection,currentsubsection]
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  \end{frame}
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}
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\AtBeginSection[]
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{
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  \begin{frame}<beamer>
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    \frametitle{Outline}
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    \tableofcontents[currentsection,currentsubsection]
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  \end{frame}
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}
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% If you wish to uncover everything in a step-wise fashion, uncomment
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% the following command: 
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%\beamerdefaultoverlayspecification{<+->}
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%\includeonlyframes{current,current1,current2,current3,current4,current5,current6}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% DOCUMENT STARTS
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\begin{document}
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\begin{frame}
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  \titlepage
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\end{frame}
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\begin{frame}
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  \frametitle{Outline}
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  \tableofcontents
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%  \pausesections
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\end{frame}
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\section{Motivation}
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\begin{frame}[fragile]
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  \frametitle{Why arrays?}
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  \begin{itemize}
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  \item Speed!
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  \item Convenience
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  \item Easier to handle multi-dimensional data
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  \end{itemize}
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\end{frame}
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\begin{frame}[fragile]
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  \frametitle{Speed}
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    \begin{lstlisting}
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In []: a = linspace(0, 100*pi, 1000000) 
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# array with a million elements
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In []: b = []
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In []: for each in a:
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  ...:     b.append(sin(each))
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  ...:     
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  ...:     
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In []: sin(a)
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  \end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]
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  \frametitle{Convenience}
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The pendulum problem could've been solved as below::
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    \begin{lstlisting}
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In []: L, T = loadtxt('pendulum.txt', 
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                      unpack=True)
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In []: tsq = T*T
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In []: plot (L, tsq, '.')
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  \end{lstlisting}
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\end{frame}
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\section{Initializing}
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\begin{frame}[fragile]
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\frametitle{Initializing}
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\begin{lstlisting}
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In []: c = array([[11,12,13],
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                  [21,22,23],
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                  [31,32,33]])
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In []: c
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Out[]: 
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array([[11, 12, 13],
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       [21, 22, 23],
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       [31, 32, 33]])
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\end{lstlisting}
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\end{frame}
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263
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\begin{frame}[fragile]
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\frametitle{Some special arrays}
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\begin{small}
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  \begin{lstlisting}
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In []: ones((3,5))
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Out[]: 
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array([[ 1.,  1.,  1.,  1.,  1.],
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       [ 1.,  1.,  1.,  1.,  1.],
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       [ 1.,  1.,  1.,  1.,  1.]])
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319
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In []: ones_like([1, 2, 3, 4]) 
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Out[]: array([1, 1, 1, 1])   
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In []: identity(2)
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Out[]: 
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array([[ 1.,  0.],
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       [ 0.,  1.]])
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  \end{lstlisting}
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Also available \alert{\typ{zeros, zeros_like, empty, empty_like}}
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\end{small}
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\end{frame}
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\begin{frame}[fragile]
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  \frametitle{Accessing elements}
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  \begin{small}
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  \begin{lstlisting}
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In []: c
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Out[]: 
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array([[11, 12, 13],
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       [21, 22, 23],
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       [31, 32, 33]])
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In []: c[1][2]
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Out[]: 23
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In []: c[1,2]
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Out[]: 23
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In []: c[1]
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Out[]: array([21, 22, 23])
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  \end{lstlisting}
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  \end{small}
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Similar to \kwrd{lists} but improved!
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\end{frame}
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272
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\begin{frame}[fragile]
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  \frametitle{Changing elements}
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  \begin{small}
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  \begin{lstlisting}
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In []: c[1,1] = -22
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In []: c
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Out[]: 
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array([[ 11,  12,  13],
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       [ 21, -22,  23],
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       [ 31,  32,  33]])
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In []: c[1] = 0
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In []: c
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Out[]: 
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array([[11, 12, 13],
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       [ 0,  0,  0],
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       [31, 32, 33]])
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  \end{lstlisting}
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  \end{small}
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How do you access one \alert{column}? -- Enter Slicing!
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\end{frame}
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\section{Slicing \& Striding}
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\begin{frame}[fragile]
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  \frametitle{Slicing: Lists}
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  \begin{block}{Define a list}
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	\kwrd{In []: p = [ 2, 3, 5, 7, 11, 13]}
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  \end{block}
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\begin{lstlisting}
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In []: p[1:3]
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Out[]: [3, 5]
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\end{lstlisting}
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\emphbar{A slice}
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\begin{lstlisting}
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In []: p[0:-1]
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Out[]: [2, 3, 5, 7, 11]
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In []: p[:]
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Out[]: [2, 3, 5, 7, 11, 13]
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\end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]
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  \frametitle{Striding: Lists}
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\emphbar{Striding over \typ{p}}
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\begin{lstlisting}
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In []: p[::2]
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Out[]: [2, 5, 11]
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In []: p[1::2]
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Out[]: [3, 7, 13]
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In []: p[1:-1:2]
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Out[]: [3, 7]
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In []: p[::3]
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Out[]: [2, 7]
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\end{lstlisting}
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\alert{\typ{list[initial:final:step]}}
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\end{frame}
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\begin{frame}[fragile]
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  \frametitle{Slicing \& Striding: Lists}
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  What is the output of the following?
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\begin{lstlisting}
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In []: p[1::4]
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In []: p[1:-1:3]
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\end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]
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  \frametitle{Slicing: \typ{arrays}}
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\begin{small}
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  \begin{lstlisting}
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In []: c[:,1]
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Out[]: array([12,  0, 32])
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318
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In []: c[1,:]
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Out[]: array([0, 0, 0])
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318
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In []: c[0:2,:]
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Out[]: 
361
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array([[11, 12, 13],
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       [ 0,  0,  0]])
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318
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In []: c[1:3,:]
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Out[]: 
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array([[ 0,  0,  0],
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       [31, 32, 33]])
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8a4a1e5aec85 Changes made for Goa workshop .
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  \end{lstlisting}
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\end{small}
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\end{frame}
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272
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\begin{frame}[fragile]
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  \frametitle{Slicing: \typ{arrays} \ldots}
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\begin{small}
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  \begin{lstlisting}
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In []: c[:2,:]
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Out[]: 
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array([[11, 12, 13],
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       [ 0,  0,  0]])
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318
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In []: c[1:,:]
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Out[]: 
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array([[ 0,  0,  0],
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       [31, 32, 33]])
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318
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In []: c[1:,:2]
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Out[]: 
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array([[ 0,  0],
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       [31, 32]])
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  \end{lstlisting}
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\end{small}
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\end{frame}
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\begin{frame}[fragile]
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  \frametitle{Striding: \typ{arrays}}
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  \begin{small}
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  \begin{lstlisting}
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In []: c[::2,:]
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Out[]: 
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array([[11, 12, 13],
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       [31, 32, 33]])
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In []: c[:,::2]
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Out[]: 
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array([[11, 13],
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       [ 0,  0],
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       [31, 33]])
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In []: c[::2,::2]
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Out[]: 
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array([[11, 13],
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       [31, 33]])
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  \end{lstlisting}
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  \end{small}
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\end{frame}
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\begin{frame}[fragile]
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  \frametitle{Shape of an \typ{array}}
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  \begin{lstlisting}
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In []: c
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Out[]: 
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array([[11, 12, 13],
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       [ 0,  0,  0],
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       [31, 32, 33]])
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In []: c.shape
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Out[]: (3, 3)
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  \end{lstlisting}
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\emphbar{Shape specifies shape or dimensions of an array}
373
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\end{frame}
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\begin{frame}[fragile]
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  \frametitle{Elementary image processing}
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\begin{small}
272
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  \begin{lstlisting}
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In []: a = imread('lena.png')
282
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In []: imshow(a)
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Out[]: <matplotlib.image.AxesImage object at 0xa0384cc>
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  \end{lstlisting}
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  \end{small}
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\typ{imread} returns an array of shape (512, 512, 4) which represents an image of 512x512 pixels and 4 shades.\\
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\typ{imshow} renders the array as an image.
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   388
\end{frame}
282
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diff changeset
   389
379
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   390
\begin{frame}[fragile]
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   391
\frametitle{Slicing \& Striding Exercises}
282
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  \begin{itemize}
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   393
  \item Crop the image to get the top-left quarter
b2dafce03b8d Added Slicing and Striding exercises.
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diff changeset
   394
  \item Crop the image to get only the face
b2dafce03b8d Added Slicing and Striding exercises.
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diff changeset
   395
  \item Resize image to half by dropping alternate pixels
b2dafce03b8d Added Slicing and Striding exercises.
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diff changeset
   396
  \end{itemize}
379
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diff changeset
   397
272
e5fc37a9ca96 Added initial slides of Slicing and Striding to session 4.
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diff changeset
   398
\end{frame}
282
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diff changeset
   399
\begin{frame}[fragile]
285
e072cadee389 Minor edits to session4.
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   400
  \frametitle{Solutions}
282
b2dafce03b8d Added Slicing and Striding exercises.
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   401
\begin{small}
b2dafce03b8d Added Slicing and Striding exercises.
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parents: 281
diff changeset
   402
  \begin{lstlisting}
318
e75d3c993ed5 Corrected errata in Matrices slides.
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parents: 304
diff changeset
   403
In []: imshow(a[:256,:256])
282
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   404
Out[]: <matplotlib.image.AxesImage object at 0xb6f658c>
b2dafce03b8d Added Slicing and Striding exercises.
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parents: 281
diff changeset
   405
318
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parents: 304
diff changeset
   406
In []: imshow(a[200:400,200:400])
282
b2dafce03b8d Added Slicing and Striding exercises.
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parents: 281
diff changeset
   407
Out[]: <matplotlib.image.AxesImage object at 0xb757c2c>
b2dafce03b8d Added Slicing and Striding exercises.
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parents: 281
diff changeset
   408
318
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parents: 304
diff changeset
   409
In []: imshow(a[::2,::2])
282
b2dafce03b8d Added Slicing and Striding exercises.
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diff changeset
   410
Out[]: <matplotlib.image.AxesImage object at 0xb765c8c>
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   411
  \end{lstlisting}
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diff changeset
   412
\end{small}
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diff changeset
   413
\end{frame}
214
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diff changeset
   414
444
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   415
\section{Operations on \typ{arrays}}
214
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   416
\begin{frame}[fragile]
444
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diff changeset
   417
  \frametitle{Operations: Addition}
a1117e03f98a Modified day1/session3 -- arrays.
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diff changeset
   418
  Operations on arrays, as already mentioned, are \alert{element-wise}
a1117e03f98a Modified day1/session3 -- arrays.
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diff changeset
   419
  \begin{lstlisting}
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parents: 443
diff changeset
   420
In []: a = array([[-3,2.5],
a1117e03f98a Modified day1/session3 -- arrays.
Puneeth Chaganti <punchagan@fossee.in>
parents: 443
diff changeset
   421
                  [2.5,2]])
330
46533051b9d3 commited changes made for scipy and cheatsheats.
Shantanu <shantanu@fossee.in>
parents: 319
diff changeset
   422
444
a1117e03f98a Modified day1/session3 -- arrays.
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parents: 443
diff changeset
   423
In []: b = array([[3,2],
a1117e03f98a Modified day1/session3 -- arrays.
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parents: 443
diff changeset
   424
                  [2,-2]])
214
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diff changeset
   425
318
e75d3c993ed5 Corrected errata in Matrices slides.
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parents: 304
diff changeset
   426
In []: a + b
214
19592f802dde Added matrix operations.
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diff changeset
   427
Out[]: 
444
a1117e03f98a Modified day1/session3 -- arrays.
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parents: 443
diff changeset
   428
array([[ 0. ,  4.5],
a1117e03f98a Modified day1/session3 -- arrays.
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parents: 443
diff changeset
   429
       [ 4.5,  0. ]])
214
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diff changeset
   430
  \end{lstlisting}
19592f802dde Added matrix operations.
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diff changeset
   431
\end{frame}
19592f802dde Added matrix operations.
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diff changeset
   432
19592f802dde Added matrix operations.
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diff changeset
   433
\begin{frame}[fragile]
274
34f71bdd0263 Loads of changes done.
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   434
\frametitle{Elementwise Multiplication}
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parents: 253
diff changeset
   435
\begin{lstlisting}
318
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Puneeth Chaganti <punchagan@fossee.in>
parents: 304
diff changeset
   436
In []: a*b
274
34f71bdd0263 Loads of changes done.
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diff changeset
   437
Out[]: 
444
a1117e03f98a Modified day1/session3 -- arrays.
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parents: 443
diff changeset
   438
array([[-9.,  5.],
a1117e03f98a Modified day1/session3 -- arrays.
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parents: 443
diff changeset
   439
       [ 5., -4.]])
214
19592f802dde Added matrix operations.
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diff changeset
   440
\end{lstlisting}
19592f802dde Added matrix operations.
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diff changeset
   441
\end{frame}
19592f802dde Added matrix operations.
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diff changeset
   442
118
c7f85ba59af3 Added session4.tex.
Santosh G. Vattam <vattam.santosh@gmail.com>
parents:
diff changeset
   443
\begin{frame}[fragile]
444
a1117e03f98a Modified day1/session3 -- arrays.
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parents: 443
diff changeset
   444
\frametitle{Matrix Operations using \typ{arrays}}
118
c7f85ba59af3 Added session4.tex.
Santosh G. Vattam <vattam.santosh@gmail.com>
parents:
diff changeset
   445
444
a1117e03f98a Modified day1/session3 -- arrays.
Puneeth Chaganti <punchagan@fossee.in>
parents: 443
diff changeset
   446
We can perform various matrix operations on \kwrd{arrays}\\ 
a1117e03f98a Modified day1/session3 -- arrays.
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parents: 443
diff changeset
   447
A few are listed below.
379
682b6f66fe11 Updated for day1 of GRD workshop.
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diff changeset
   448
444
a1117e03f98a Modified day1/session3 -- arrays.
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   449
\vspace{-0.2in}
253
e446ed7287d7 Updated session 2 and session 4 slides of day 1.
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diff changeset
   450
444
a1117e03f98a Modified day1/session3 -- arrays.
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diff changeset
   451
\begin{center}
a1117e03f98a Modified day1/session3 -- arrays.
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parents: 443
diff changeset
   452
\begin{tabular}{lll}
a1117e03f98a Modified day1/session3 -- arrays.
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diff changeset
   453
 Operation                    &  How?           &  Example           \\
a1117e03f98a Modified day1/session3 -- arrays.
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diff changeset
   454
\hline
a1117e03f98a Modified day1/session3 -- arrays.
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   455
 Transpose                    &  \typ{.T}       &  \typ{A.T}         \\
a1117e03f98a Modified day1/session3 -- arrays.
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parents: 443
diff changeset
   456
 Product                      &  \typ{dot}      &  \typ{dot(A, B)}   \\
a1117e03f98a Modified day1/session3 -- arrays.
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parents: 443
diff changeset
   457
 Inverse                      &  \typ{inv}      &  \typ{inv(A)}      \\
a1117e03f98a Modified day1/session3 -- arrays.
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parents: 443
diff changeset
   458
 Determinant                  &  \typ{det}      &  \typ{det(A)}      \\
a1117e03f98a Modified day1/session3 -- arrays.
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parents: 443
diff changeset
   459
 Sum of all elements          &  \typ{sum}      &  \typ{sum(A)}      \\
a1117e03f98a Modified day1/session3 -- arrays.
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parents: 443
diff changeset
   460
 Eigenvalues                  &  \typ{eigvals}  &  \typ{eigvals(A)}  \\
a1117e03f98a Modified day1/session3 -- arrays.
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parents: 443
diff changeset
   461
 Eigenvalues \& Eigenvectors  &  \typ{eig}      &  \typ{eig(A)}      \\
a1117e03f98a Modified day1/session3 -- arrays.
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parents: 443
diff changeset
   462
 Norms                        &  \typ{norm}     &  \typ{norm(A)}     \\
a1117e03f98a Modified day1/session3 -- arrays.
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parents: 443
diff changeset
   463
 SVD                          &  \typ{svd}      &  \typ{svd(A)}      \\
a1117e03f98a Modified day1/session3 -- arrays.
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diff changeset
   464
\end{tabular}
a1117e03f98a Modified day1/session3 -- arrays.
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diff changeset
   465
\end{center}
127
44c2f614e321 Updated Integration section in Session 4.
Puneeth Chaganti <punchagan@fossee.in>
parents: 124
diff changeset
   466
410
ec4b97af33e1 Updating session4, adding example for computation of norm and SVD.
Prabhu Ramachandran <prabhu@aero.iitb.ac.in>
parents: 389
diff changeset
   467
\end{frame}
214
19592f802dde Added matrix operations.
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parents: 213
diff changeset
   468
213
ce62706cf870 Resolved conflicts manually.
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diff changeset
   469
\section{Summary}
185
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   470
\begin{frame}
285
e072cadee389 Minor edits to session4.
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   471
  \frametitle{What did we learn?}
185
e59ab9ab1a89 Manual Merge with Mainline.
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diff changeset
   472
  \begin{itemize}
444
a1117e03f98a Modified day1/session3 -- arrays.
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parents: 443
diff changeset
   473
  \item Arrays
214
19592f802dde Added matrix operations.
Santosh G. Vattam <vattam.santosh@gmail.com>
parents: 213
diff changeset
   474
    \begin{itemize}
444
a1117e03f98a Modified day1/session3 -- arrays.
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parents: 443
diff changeset
   475
    \item Initializing
a1117e03f98a Modified day1/session3 -- arrays.
Puneeth Chaganti <punchagan@fossee.in>
parents: 443
diff changeset
   476
    \item Accessing elements
a1117e03f98a Modified day1/session3 -- arrays.
Puneeth Chaganti <punchagan@fossee.in>
parents: 443
diff changeset
   477
    \item Slicing \& Striding
a1117e03f98a Modified day1/session3 -- arrays.
Puneeth Chaganti <punchagan@fossee.in>
parents: 443
diff changeset
   478
    \item Element-wise Operations
a1117e03f98a Modified day1/session3 -- arrays.
Puneeth Chaganti <punchagan@fossee.in>
parents: 443
diff changeset
   479
    \item Matrix Operations
214
19592f802dde Added matrix operations.
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parents: 213
diff changeset
   480
    \end{itemize}
185
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parents: 179
diff changeset
   481
  \end{itemize}
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parents: 179
diff changeset
   482
\end{frame}
e59ab9ab1a89 Manual Merge with Mainline.
Puneeth Chaganti <punchagan@fossee.in>
parents: 179
diff changeset
   483
118
c7f85ba59af3 Added session4.tex.
Santosh G. Vattam <vattam.santosh@gmail.com>
parents:
diff changeset
   484
\end{document}
343
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diff changeset
   485
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
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diff changeset
   486
%% Questions for Quiz %%
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
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   487
%% ------------------ %%
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
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diff changeset
   488
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
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diff changeset
   489
\begin{frame}[fragile]
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
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parents: 339
diff changeset
   490
\frametitle{\incqno }
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
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parents: 339
diff changeset
   491
\begin{lstlisting}
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
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parents: 339
diff changeset
   492
In []: a = array([[1, 2],
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   493
                  [3, 4]])
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
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parents: 339
diff changeset
   494
In []: a[1,0] = 0
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   495
\end{lstlisting}
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
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parents: 339
diff changeset
   496
What is the resulting array?
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
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parents: 339
diff changeset
   497
\end{frame}
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
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parents: 339
diff changeset
   498
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
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parents: 339
diff changeset
   499
\begin{frame}[fragile]
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
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parents: 339
diff changeset
   500
\frametitle{\incqno }
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parents: 339
diff changeset
   501
\begin{lstlisting}
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parents: 339
diff changeset
   502
  In []: x = array(([1,2,3,4],
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
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parents: 339
diff changeset
   503
                    [2,3,4,5]))
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
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parents: 339
diff changeset
   504
  In []: x[-2][-3] = 4
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
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parents: 339
diff changeset
   505
  In []: print x
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
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parents: 339
diff changeset
   506
\end{lstlisting}
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
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diff changeset
   507
What will be printed?
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
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diff changeset
   508
\end{frame}
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
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parents: 339
diff changeset
   509
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
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diff changeset
   510
%% \begin{frame}[fragile]
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
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diff changeset
   511
%% \frametitle{\incqno }
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diff changeset
   512
%% \begin{lstlisting}
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   513
%%   In []: x = array([[1,2,3,4],
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   514
%%                     [3,4,2,5]])
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   515
%% \end{lstlisting}
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   516
%% What is the \lstinline+shape+ of this array?
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
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parents: 339
diff changeset
   517
%% \end{frame}
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
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parents: 339
diff changeset
   518
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   519
\begin{frame}[fragile]
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   520
\frametitle{\incqno }
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   521
\begin{lstlisting}
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   522
  In []: x = array([[1,2,3,4]])
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   523
\end{lstlisting}
354
5dc6c3673f9d Changes made during REC Chennai workshop.
Puneeth Chaganti <punchagan@fossee.in>
parents: 343
diff changeset
   524
How to change \lstinline+x+ to \lstinline+array([[1,2,0,4]])+?
343
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   525
\end{frame}
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   526
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   527
\begin{frame}[fragile]
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   528
\frametitle{\incqno }
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   529
\begin{lstlisting}
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   530
  In []: x = array([[1,2,3,4],
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   531
                    [3,4,2,5]])
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   532
\end{lstlisting}
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   533
How do you get the following slice of \lstinline+x+?
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   534
\begin{lstlisting}
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   535
array([[2,3],
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   536
       [4,2]])
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   537
\end{lstlisting}
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   538
\end{frame}
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   539
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   540
\begin{frame}[fragile]
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   541
\frametitle{\incqno }
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   542
\begin{lstlisting}
354
5dc6c3673f9d Changes made during REC Chennai workshop.
Puneeth Chaganti <punchagan@fossee.in>
parents: 343
diff changeset
   543
  In []: x = array([[9,18,27],
5dc6c3673f9d Changes made during REC Chennai workshop.
Puneeth Chaganti <punchagan@fossee.in>
parents: 343
diff changeset
   544
                    [30,60,90],
5dc6c3673f9d Changes made during REC Chennai workshop.
Puneeth Chaganti <punchagan@fossee.in>
parents: 343
diff changeset
   545
                    [14,7,1]])
5dc6c3673f9d Changes made during REC Chennai workshop.
Puneeth Chaganti <punchagan@fossee.in>
parents: 343
diff changeset
   546
\end{lstlisting}
5dc6c3673f9d Changes made during REC Chennai workshop.
Puneeth Chaganti <punchagan@fossee.in>
parents: 343
diff changeset
   547
What is the output of \lstinline+x[::3,::3]+
5dc6c3673f9d Changes made during REC Chennai workshop.
Puneeth Chaganti <punchagan@fossee.in>
parents: 343
diff changeset
   548
\end{frame}
5dc6c3673f9d Changes made during REC Chennai workshop.
Puneeth Chaganti <punchagan@fossee.in>
parents: 343
diff changeset
   549
5dc6c3673f9d Changes made during REC Chennai workshop.
Puneeth Chaganti <punchagan@fossee.in>
parents: 343
diff changeset
   550
5dc6c3673f9d Changes made during REC Chennai workshop.
Puneeth Chaganti <punchagan@fossee.in>
parents: 343
diff changeset
   551
\begin{frame}[fragile]
5dc6c3673f9d Changes made during REC Chennai workshop.
Puneeth Chaganti <punchagan@fossee.in>
parents: 343
diff changeset
   552
\frametitle{\incqno }
5dc6c3673f9d Changes made during REC Chennai workshop.
Puneeth Chaganti <punchagan@fossee.in>
parents: 343
diff changeset
   553
\begin{lstlisting}
343
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   554
In []: a = array([[1, 2],
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   555
                  [3, 4]])
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   556
\end{lstlisting}
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   557
How do you get the transpose of this array?
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   558
\end{frame}
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   559
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   560
\begin{frame}[fragile]
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   561
\frametitle{\incqno }
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   562
\begin{lstlisting}
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   563
In []: a = array([[1, 2],
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   564
                  [3, 4]])
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   565
In []: b = array([[1, 1],
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   566
                  [2, 2]])
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   567
In []: a*b
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   568
\end{lstlisting}
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   569
What does this produce?
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   570
\end{frame}
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   571
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   572
\begin{frame}
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   573
\frametitle{\incqno }
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   574
What command do you use to find the inverse of a matrix and its
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   575
eigenvalues?
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   576
\end{frame}
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   577
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   578
%% \begin{frame}
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   579
%% \frametitle{\incqno }
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   580
%% The file \lstinline+datafile.txt+ contains 3 columns of data.  What
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   581
%% command will you use to read the entire data file into an array?
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   582
%% \end{frame}
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   583
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   584
%% \begin{frame}
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   585
%% \frametitle{\incqno }
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   586
%% If the contents of the file \lstinline+datafile.txt+ is read into an
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   587
%% $N\times3$ array called \lstinline+data+, how would you obtain the third
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   588
%% column of this data?
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   589
%% \end{frame}
adb85e126341 Moved all day1 quiz questions to end of day1-sessions.
Puneeth Chaganti <punchagan@fossee.in>
parents: 339
diff changeset
   590