--- a/lstsq.rst Thu Oct 07 14:31:05 2010 +0530
+++ /dev/null Thu Jan 01 00:00:00 1970 +0000
@@ -1,139 +0,0 @@
-.. Author : Nishanth
- Internal Reviewer 1 : Puneeth
- Internal Reviewer 2 :
- External Reviewer :
-
-Hello friends and welcome to the tutorial on Least Square Fit
-
-{{{ Show the slide containing title }}}
-
-{{{ Show the slide containing the outline slide }}}
-
-In this tutorial, we shall look at generating the least square fit line for a
-given set of points.
-
-First let us have a look at the problem.
-
-{{{ Show the slide containing problem statement. }}}
-
-We have an input file generated from a simple pendulum experiment.
-
-It contains two columns of data. The first column is the length of the
-pendulum and the second is the corresponding time period of the pendulum.
-
-As we know, the square of time period of a pendulum is directly proportional to
-its length, we shall plot l vs t^2 and verify this.
-
-#[Puneeth:] removed the explanation about loadtxt and unpack
- option. It's been done in another LO already. simple dependency
- should work?
-
-To read the input file and parse the data, we are going to use the
-loadtxt function. Type
-::
-
- l, t = loadtxt("/home/fossee/pendulum.txt", unpack=True)
- l
- t
-
-We can see that l and t are two sequences containing length and time values
-correspondingly.
-
-Let us first plot l vs t^2. Type
-::
-
- tsq = t * t
- plot(l, tsq, 'bo')
-
-{{{ switch to the plot window }}}
-
-#[Puneeth:] Moved explanation of least square fit here. seems more
-apt.
-
-We can see that there is a visible linear trend, but we do not get a
-straight line connecting them. We shall, therefore, generate a least
-square fit line.
-
-{{{ show the slide containing explanation on least square fit }}}
-
-As shown in the slide, we are first going to generate the two matrices
-tsq and A. Then we are going to use the ``lstsq`` function to find the
-values of m and c.
-
-let us now generate the A matrix with l values.
-We shall first generate a 2 x 90 matrix with the first row as l values and the
-second row as ones. Then take the transpose of it. Type
-::
-
- inter_mat = array((l, ones_like(l)))
- inter_mat
-
-We see that we have intermediate matrix. Now we need the transpose. Type
-::
-
- A = inter_mat.T
- A
-
-Now we have both the matrices A and tsq. We only need to use the ``lstsq``
-Type
-::
-
- result = lstsq(A, tsq)
-
-The result is a sequence of values. The first item in this sequence,
-is the matrix p i.e., the values of m and c. Hence,
-::
-
- m, c = result[0]
- m
- c
-
-Now that we have m and c, we need to generate the fitted values of t^2. Type
-::
-
- tsq_fit = m * l + c
- plot(l, tsq, 'bo')
- plot(l, tsq_fit, 'r')
-
-We get the least square fit of l vs t^2
-
-{{{ Pause here and try out the following exercises }}}
-
-%% 2 %% change the label on y-axis to "y" and save the lines of code
- accordingly
-
-{{{ continue from paused state }}}
-
-{{{ Show summary slide }}}
-
-This brings us to the end of the tutorial.
-we have learnt
-
- * how to generate a least square fit
-
-{{{ Show the "sponsored by FOSSEE" slide }}}
-
-#[Nishanth]: Will add this line after all of us fix on one.
-This tutorial was created as a part of FOSSEE project, NME ICT, MHRD India
-
-Hope you have enjoyed and found it useful.
-Thank you
-
-Questions
-=========
-
- 1. What does ones_like([1, 2, 3]) produce
-
- a. array([1, 1, 1])
- #. [1, 1, 1]
- #. [1.0, 1.0, 1.0]
- #. Error
-
- 2. What does ones_like([1.2, 3, 4, 5]) produce
-
- a. [1.2, 3, 4, 5]
- #. array([1.0, 1.0, 1.0, 1.0])
- #. array([1, 1, 1, 1])
- #. array([1.2, 3, 4, 5])
-
- 3. What is the shape of the
--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/lstsq/questions.rst Thu Oct 07 14:33:45 2010 +0530
@@ -0,0 +1,18 @@
+Objective Questions
+-------------------
+
+ 1. What does ones_like([1, 2, 3]) produce
+
+ a. array([1, 1, 1])
+ #. [1, 1, 1]
+ #. [1.0, 1.0, 1.0]
+ #. Error
+
+ 2. What does ones_like([1.2, 3, 4, 5]) produce
+
+ a. [1.2, 3, 4, 5]
+ #. array([1.0, 1.0, 1.0, 1.0])
+ #. array([1, 1, 1, 1])
+ #. array([1.2, 3, 4, 5])
+
+
--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/lstsq/quickref.tex Thu Oct 07 14:33:45 2010 +0530
@@ -0,0 +1,11 @@
+Creating a tuple:\\
+{\ex \lstinline| t = (1, "hello", 2.5)|}
+
+Accessing elements of tuples:\\
+{\ex \lstinline| t[index] Ex: t[2]|}
+
+Accessing slices of tuples:\\
+{\ex \lstinline| t[start:stop:step]|}
+
+Swapping values:\\
+{\ex \lstinline| a, b = b, a|}
--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/lstsq/script.rst Thu Oct 07 14:33:45 2010 +0530
@@ -0,0 +1,139 @@
+.. Objectives
+.. ----------
+
+.. A - Students and teachers from Science and engineering backgrounds
+ B -
+ C -
+ D -
+
+.. Prerequisites
+.. -------------
+
+.. 1. Basic Plotting
+ 2. Arrays
+
+.. Author : Nishanth Amuluru
+ Internal Reviewer :
+ External Reviewer :
+ Checklist OK? : <put date stamp here, if OK> [2010-10-05]
+
+Script
+------
+
+Hello friends and welcome to the tutorial on Least Square Fit
+
+{{{ Show the slide containing title }}}
+
+{{{ Show the slide containing the outline slide }}}
+
+In this tutorial, we shall look at generating the least square fit line for a
+given set of points.
+
+First let us have a look at the problem.
+
+{{{ Show the slide containing problem statement. }}}
+
+We have an input file generated from a simple pendulum experiment.
+
+It contains two columns of data. The first column is the length of the
+pendulum and the second is the corresponding time period of the pendulum.
+
+As we know, the square of time period of a pendulum is directly proportional to
+its length, we shall plot l vs t^2 and verify this.
+
+#[Puneeth:] removed the explanation about loadtxt and unpack
+ option. It's been done in another LO already. simple dependency
+ should work?
+
+To read the input file and parse the data, we are going to use the
+loadtxt function. Type
+::
+
+ l, t = loadtxt("/home/fossee/pendulum.txt", unpack=True)
+ l
+ t
+
+We can see that l and t are two sequences containing length and time values
+correspondingly.
+
+Let us first plot l vs t^2. Type
+::
+
+ tsq = t * t
+ plot(l, tsq, 'bo')
+
+{{{ switch to the plot window }}}
+
+#[Puneeth:] Moved explanation of least square fit here. seems more
+apt.
+
+We can see that there is a visible linear trend, but we do not get a
+straight line connecting them. We shall, therefore, generate a least
+square fit line.
+
+{{{ show the slide containing explanation on least square fit }}}
+
+As shown in the slide, we are first going to generate the two matrices
+tsq and A. Then we are going to use the ``lstsq`` function to find the
+values of m and c.
+
+let us now generate the A matrix with l values.
+We shall first generate a 2 x 90 matrix with the first row as l values and the
+second row as ones. Then take the transpose of it. Type
+::
+
+ inter_mat = array((l, ones_like(l)))
+ inter_mat
+
+We see that we have intermediate matrix. Now we need the transpose. Type
+::
+
+ A = inter_mat.T
+ A
+
+Now we have both the matrices A and tsq. We only need to use the ``lstsq``
+Type
+::
+
+ result = lstsq(A, tsq)
+
+The result is a sequence of values. The first item in this sequence,
+is the matrix p i.e., the values of m and c. Hence,
+::
+
+ m, c = result[0]
+ m
+ c
+
+Now that we have m and c, we need to generate the fitted values of t^2. Type
+::
+
+ tsq_fit = m * l + c
+ plot(l, tsq, 'bo')
+ plot(l, tsq_fit, 'r')
+
+We get the least square fit of l vs t^2
+
+{{{ Pause here and try out the following exercises }}}
+
+%% 2 %% change the label on y-axis to "y" and save the lines of code
+ accordingly
+
+{{{ continue from paused state }}}
+
+{{{ Show summary slide }}}
+
+This brings us to the end of the tutorial.
+we have learnt
+
+ * how to generate a least square fit
+
+{{{ Show the "sponsored by FOSSEE" slide }}}
+
+#[Nishanth]: Will add this line after all of us fix on one.
+This tutorial was created as a part of FOSSEE project, NME ICT, MHRD India
+
+Hope you have enjoyed and found it useful.
+Thank you
+
+
--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/lstsq/slides.tex Thu Oct 07 14:33:45 2010 +0530
@@ -0,0 +1,106 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%Tutorial slides on Python.
+%
+% Author: FOSSEE
+% Copyright (c) 2009, FOSSEE, IIT Bombay
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\documentclass[14pt,compress]{beamer}
+%\documentclass[draft]{beamer}
+%\documentclass[compress,handout]{beamer}
+%\usepackage{pgfpages}
+%\pgfpagesuselayout{2 on 1}[a4paper,border shrink=5mm]
+
+% Modified from: generic-ornate-15min-45min.de.tex
+\mode<presentation>
+{
+ \usetheme{Warsaw}
+ \useoutertheme{infolines}
+ \setbeamercovered{transparent}
+}
+
+\usepackage[english]{babel}
+\usepackage[latin1]{inputenc}
+%\usepackage{times}
+\usepackage[T1]{fontenc}
+
+\usepackage{ae,aecompl}
+\usepackage{mathpazo,courier,euler}
+\usepackage[scaled=.95]{helvet}
+
+\definecolor{darkgreen}{rgb}{0,0.5,0}
+
+\usepackage{listings}
+\lstset{language=Python,
+ basicstyle=\ttfamily\bfseries,
+ commentstyle=\color{red}\itshape,
+ stringstyle=\color{darkgreen},
+ showstringspaces=false,
+ keywordstyle=\color{blue}\bfseries}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Macros
+\setbeamercolor{emphbar}{bg=blue!20, fg=black}
+\newcommand{\emphbar}[1]
+{\begin{beamercolorbox}[rounded=true]{emphbar}
+ {#1}
+ \end{beamercolorbox}
+}
+\newcounter{time}
+\setcounter{time}{0}
+\newcommand{\inctime}[1]{\addtocounter{time}{#1}{\tiny \thetime\ m}}
+
+\newcommand{\typ}[1]{\lstinline{#1}}
+
+\newcommand{\kwrd}[1]{ \texttt{\textbf{\color{blue}{#1}}} }
+
+% Title page
+\title{Your Title Here}
+
+\author[FOSSEE] {FOSSEE}
+
+\institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay}
+\date{}
+
+% DOCUMENT STARTS
+\begin{document}
+
+\begin{frame}
+ \maketitle
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Outline}
+ \begin{itemize}
+ \item
+ \end{itemize}
+\end{frame}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% All other slides here. %%
+%% The same slides will be used in a classroom setting. %%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\begin{frame}[fragile]
+ \frametitle{Summary}
+ \begin{itemize}
+ \item
+ \end{itemize}
+\end{frame}
+
+\begin{frame}
+ \frametitle{Thank you!}
+ \begin{block}{}
+ \begin{center}
+ This spoken tutorial has been produced by the
+ \textcolor{blue}{FOSSEE} team, which is funded by the
+ \end{center}
+ \begin{center}
+ \textcolor{blue}{National Mission on Education through \\
+ Information \& Communication Technology \\
+ MHRD, Govt. of India}.
+ \end{center}
+ \end{block}
+\end{frame}
+
+\end{document}