Workshop materials: day2/session2.tex@d5b7be72693b (annotated)

35 a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	1	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	2	% Tutorial slides on Python.
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	3	%
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	4	% Author: Prabhu Ramachandran <prabhu at aero.iitb.ac.in>
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	5	% Copyright (c) 2005-2008, Prabhu Ramachandran
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	6	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	7
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	8	\documentclass[14pt,compress]{beamer}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	9	%\documentclass[draft]{beamer}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	10	%\documentclass[compress,handout]{beamer}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	11	%\usepackage{pgfpages}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	12	%\pgfpagesuselayout{2 on 1}[a4paper,border shrink=5mm]
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	13
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	14	% Modified from: generic-ornate-15min-45min.de.tex
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	15	\mode<presentation>
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	16	{
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	17	\usetheme{Warsaw}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	18	\useoutertheme{split}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	19	\setbeamercovered{transparent}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	20	}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	21
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	22	\usepackage[english]{babel}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	23	\usepackage[latin1]{inputenc}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	24	%\usepackage{times}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	25	\usepackage[T1]{fontenc}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	26
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	27	% Taken from Fernando's slides.
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	28	\usepackage{ae,aecompl}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	29	\usepackage{mathpazo,courier,euler}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	30	\usepackage[scaled=.95]{helvet}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	31
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	32	\definecolor{darkgreen}{rgb}{0,0.5,0}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	33
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	34	\usepackage{listings}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	35	\lstset{language=Python,
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	36	basicstyle=\ttfamily\bfseries,
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	37	commentstyle=\color{red}\itshape,
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	38	stringstyle=\color{darkgreen},
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	39	showstringspaces=false,
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	40	keywordstyle=\color{blue}\bfseries}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	41
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	42	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	43	% Macros
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	44	\setbeamercolor{emphbar}{bg=blue!20, fg=black}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	45	\newcommand{\emphbar}[1]
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	46	{\begin{beamercolorbox}[rounded=true]{emphbar}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	47	{#1}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	48	\end{beamercolorbox}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	49	}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	50	\newcounter{time}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	51	\setcounter{time}{0}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	52	\newcommand{\inctime}[1]{\addtocounter{time}{#1}{\tiny \thetime\ m}}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	53
36 8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	54	\newcommand{\typ}[1]{\lstinline{#1}}
35 a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	55
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	56	\newcommand{\kwrd}[1]{ \texttt{\textbf{\color{blue}{#1}}} }
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	57
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	58	%%% This is from Fernando's setup.
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	59	% \usepackage{color}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	60	% \definecolor{orange}{cmyk}{0,0.4,0.8,0.2}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	61	% % Use and configure listings package for nicely formatted code
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	62	% \usepackage{listings}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	63	% \lstset{
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	64	% language=Python,
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	65	% basicstyle=\small\ttfamily,
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	66	% commentstyle=\ttfamily\color{blue},
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	67	% stringstyle=\ttfamily\color{orange},
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	68	% showstringspaces=false,
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	69	% breaklines=true,
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	70	% postbreak = \space\dots
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	71	% }
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	72
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	73
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	74	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	75	% Title page
36 8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	76	\title[]{Numerical Computing with Numpy \& Scipy}
35 a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	77
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	78	\author[FOSSEE Team] {Asokan Pichai\\Prabhu Ramachandran}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	79
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	80	\institute[FOSSEE] {FOSSEE Team}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	81	\date[] {11, October 2009}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	82	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	83
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	84	%\pgfdeclareimage[height=0.75cm]{iitmlogo}{iitmlogo}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	85	%\logo{\pgfuseimage{iitmlogo}}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	86
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	87
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	88	%% Delete this, if you do not want the table of contents to pop up at
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	89	%% the beginning of each subsection:
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	90	\AtBeginSubsection[]
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	91	{
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	92	\begin{frame}<beamer>
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	93	\frametitle{Outline}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	94	\tableofcontents[currentsection,currentsubsection]
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	95	\end{frame}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	96	}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	97
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	98	\AtBeginSection[]
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	99	{
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	100	\begin{frame}<beamer>
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	101	\frametitle{Outline}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	102	\tableofcontents[currentsection,currentsubsection]
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	103	\end{frame}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	104	}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	105
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	106	% If you wish to uncover everything in a step-wise fashion, uncomment
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	107	% the following command:
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	108	%\beamerdefaultoverlayspecification{<+->}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	109
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	110	%\includeonlyframes{current,current1,current2,current3,current4,current5,current6}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	111
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	112	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	113	% DOCUMENT STARTS
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	114	\begin{document}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	115
37 d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	116	\begin{frame}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	117	\maketitle
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	118	\end{frame}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	119
35 a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	120	\begin{frame}[fragile]
36 8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	121	\frametitle{Broadcasting}
37 d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	122	\begin{itemize}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	123	\item Used so that functions can take inputs that are not of the same shape.
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	124	\item 2 rules -
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	125	\begin{enumerate}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	126	\item 1 (repeatedly) pre-pended to shapes of smaller arrays
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	127	\item Size 1 in a dimension -> Largest size in that dimension
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	128	\end{enumerate}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	129	\end{itemize}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	130	\begin{columns}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	131	\column{0.65\textwidth}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	132	\hspace*{-1.5in}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	133	\begin{lstlisting}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	134	>>> x = np.arange(4)
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	135	>>> x+3
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	136	array([3, 4, 5, 6])
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	137	\end{lstlisting}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	138	\column{0.35\textwidth}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	139	\includegraphics[height=0.7in, interpolate=true]{data/broadcast_scalar}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	140	\end{columns}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	141	\end{frame}
36 8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	142
37 d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	143	\begin{frame}[fragile]
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	144	\frametitle{Broadcasting in 3D}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	145	\begin{lstlisting}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	146	>>> x = np.zeros((3, 5))
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	147	>>> y = np.zeros(8)
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	148	>>> (x[..., None] + y).shape
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	149	(3, 5, 8)
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	150	\end{lstlisting}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	151	\begin{figure}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	152	\begin{center}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	153	\includegraphics[height=1.5in, interpolate=true]{data/array_3x5x8}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	154	\end{center}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	155	\end{figure}
36 8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	156	\end{frame}
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	157
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	158	\begin{frame}[fragile]
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	159	\frametitle{Copies \& Views}
37 d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	160	\begin{lstlisting}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	161	>>> a = array([[1,2,3], [4,5,6],
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	162	[7,8,9]])
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	163	>>> a[0,1:3]
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	164	array([2, 3])
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	165	>>> a[0::2,0::2]
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	166	array([[1, 3],
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	167	[7, 9]])
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	168	\end{lstlisting}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	169	\begin{itemize}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	170	\item Slicing and Striding just reference the same memory
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	171	\item They produce views of the data, not copies
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	172	\end{itemize}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	173	\end{frame}
36 8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	174
37 d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	175	\begin{frame}[fragile]
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	176	\frametitle{Copies contd \ldots}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	177	\begin{lstlisting}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	178	>>> a[np.array([0,1,2])]
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	179	array([[1, 2, 3],
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	180	[4, 5, 6],
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	181	[7, 8, 9]])
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	182	\end{lstlisting}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	183	\begin{itemize}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	184	\item Index arrays or Boolean arrays produce copies
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	185	\end{itemize}
36 8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	186	\end{frame}
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	187
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	188	\begin{frame}
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	189	\frametitle{More Numpy Functions \& Methods}
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	190	More functions
35 a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	191	\begin{itemize}
36 8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	192	\item \typ{take}
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	193	\item \typ{choose}
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	194	\item \typ{where}
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	195	\item \typ{compress}
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	196	\item \typ{concatenate}
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	197	\end{itemize}
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	198	Ufunc methods
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	199	\begin{itemize}
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	200	\item \typ{reduce}
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	201	\item \typ{accumulate}
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	202	\item \typ{outer}
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	203	\item \typ{reduceat}
35 a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	204	\end{itemize}
37 d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	205	\inctime{5}
35 a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	206	\end{frame}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	207
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	208	\begin{frame}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	209	{Intro to SciPy}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	210	\begin{itemize}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	211	\item \url{http://www.scipy.org}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	212	\item Open source scientific libraries for Python
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	213	\item Based on NumPy
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	214	\end{itemize}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	215	\end{frame}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	216
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	217	\begin{frame}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	218	\frametitle{SciPy}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	219	\begin{itemize}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	220	\item Provides:
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	221	\begin{itemize}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	222	\item Linear algebra
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	223	\item Numerical integration
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	224	\item Fourier transforms
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	225	\item Signal processing
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	226	\item Special functions
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	227	\item Statistics
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	228	\item Optimization
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	229	\item Image processing
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	230	\item ODE solvers
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	231	\end{itemize}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	232	\item Uses LAPACK, QUADPACK, ODEPACK, FFTPACK etc. from netlib
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	233	\end{itemize}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	234	\end{frame}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	235
36 8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	236	\begin{frame}[fragile]
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	237	\frametitle{Linear Algebra}
37 d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	238	\typ{>>> from scipy import linalg}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	239	\begin{itemize}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	240	\item \typ{linalg.det, linalg.norm}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	241	\item \typ{linalg.eig, linalg.lu}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	242	\item \typ{linalg.expm, linalg.logm}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	243	\item \typ{linalg.sinm, linalg.sinhm}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	244	\end{itemize}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	245	\end{frame}
36 8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	246
37 d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	247	\begin{frame}[fragile]
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	248	\frametitle{Linear Algebra \ldots}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	249	\begin{align*}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	250	3x + 2y - z & = 1 \\
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	251	2x - 2y + 4z & = -2 \\
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	252	-x + \frac{1}{2}y -z & = 0
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	253	\end{align*}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	254	\begin{lstlisting}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	255	>>> linalg.solve(A,B)
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	256	\end{lstlisting}
36 8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	257	\end{frame}
37 d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	258
36 8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	259	\begin{frame}[fragile]
37 d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	260	\begin{itemize}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	261	\item Integrating Functions given function object
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	262	\item Integrating Functions given fixed samples
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	263	\item Numerical integrators of ODE systems
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	264	\end{itemize}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	265	\frametitle{Integrate}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	266	Calculate $\int^1_0sin(x) + x^2$
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	267	\begin{lstlisting}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	268	>>> def f(x):
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	269	return np.sin(x)+x**2
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	270	>>> integrate.quad(f, 0, 1)
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	271	\end{lstlisting}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	272	\end{frame}
36 8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	273
37 d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	274	\begin{frame}[fragile]
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	275	\frametitle{Integrate \ldots}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	276	Numerically solve ODEs\\
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	277	\begin{align*}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	278	\frac{dx}{dt}&=-e^{(-t)}x^2(t)\\
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	279	x(0)&=2
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	280	\end{align*}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	281	\begin{lstlisting}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	282	def dx_dt(x,t):
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	283	return -np.exp(-t)x*2
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	284
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	285	x=integrate.odeint(dx_dt, 2, t)
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	286	plt.plot(x,t)
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	287	\end{lstlisting}
36 8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	288	\end{frame}
37 d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	289
36 8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	290	\begin{frame}[fragile]
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	291	\frametitle{Interpolation}
37 d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	292	\begin{itemize}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	293	\item \typ{interpolate.interp1d, ...}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	294	\item \typ{interpolate.splrep, splev}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	295	\end{itemize}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	296	Cubic Spline of $sin(x)$
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	297	\begin{lstlisting}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	298	x = np.arange(0,2*np.pi,np.pi/8)
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	299	y = np.sin(x)
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	300	t = interpolate.splrep(x,y,s=0)
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	301	X = np.arange(0,2*np.pi,np.pi/50)
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	302	Y = interpolate.splev(X,t,der=0)
36 8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	303
37 d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	304	plt.plot(x,y,'o',x,y,X,Y)
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	305	plt.show()
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	306	\end{lstlisting}
36 8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	307	\end{frame}
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	308
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	309	\begin{frame}[fragile]
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	310	\frametitle{Signal \& Image Processing}
37 d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	311	\begin{itemize}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	312	\item Convolution
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	313	\item B-splines
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	314	\item Filtering
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	315	\item Filter design
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	316	\item IIR filter design
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	317	\item Linear Systems
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	318	\item LTI Reresentations
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	319	\item Waveforms
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	320	\item Window functions
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	321	\item Wavelets
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	322	\end{itemize}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	323	\end{frame}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	324
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	325	\begin{frame}[fragile]
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	326	\frametitle{Signal \& Image Processing}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	327	Applying a simple median filter
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	328	\begin{lstlisting}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	329	from scipy import signal, ndimage
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	330	from scipy import lena
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	331	A=lena().astype('float32')
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	332	B=signal.medfilt2d(A)
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	333	imshow(B)
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	334	\end{lstlisting}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	335	Zooming an array - uses spline interpolation
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	336	\begin{lstlisting}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	337	b=ndimage.zoom(A,0.5)
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	338	imshow(b)
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	339	\end{lstlisting}
36 8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	340
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	341	\end{frame}
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	342
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	343	\begin{frame}[fragile]
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	344	\frametitle{Problems}
37 d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	345	The Van der Pol oscillator is a type of nonconservative oscillator with nonlinear damping. It evolves in time according to the second order differential equation:
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	346	\begin{equation*}
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	347	\frac{d^2x}{dt^2}+\mu(x^2-1)\frac{dx}{dt}+x= 0
d5b7be72693b Updated Day2 Session2. Puneeth Chaganti <punchagan@fossee.in> parents: 36 diff changeset	348	\end{equation*}
36 8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	349	\end{frame}
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	350
8047755ae660 Modified the skeleton for session2. Puneeth Chaganti <punchagan@fossee.in> parents: 35 diff changeset	351
35 a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	352	\end{document}
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	353
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	354	- Numpy arrays (30 mins)
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	355	- Matrices
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	356	- random number generation.
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	357	- Image manipulation: jigsaw puzzle.
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	358	- Monte-carlo integration.
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	359
a49b340696ba Adding a skeleton for day2 session2. Puneeth Chaganti <punchagan@fossee.in> parents: diff changeset	360

author	Puneeth Chaganti <punchagan@fossee.in>
	Tue, 06 Oct 2009 14:41:48 +0530
changeset 37	d5b7be72693b
parent 36	8047755ae660
child 41	64177498937a
permissions	-rw-r--r--