<?xml version='1.0' encoding='UTF-8'?><?xml-stylesheet href="http://www.blogger.com/styles/atom.css" type="text/css"?><feed xmlns='http://www.w3.org/2005/Atom' xmlns:openSearch='http://a9.com/-/spec/opensearchrss/1.0/' xmlns:blogger='http://schemas.google.com/blogger/2008' xmlns:georss='http://www.georss.org/georss' xmlns:gd="http://schemas.google.com/g/2005" xmlns:thr='http://purl.org/syndication/thread/1.0'><id>tag:blogger.com,1999:blog-4931803839836548332</id><updated>2024-10-06T22:31:49.348-07:00</updated><category term="NumPy"/><category term="PyOpenGL"/><category term="Python 2.7.8"/><category term="SciPy"/><category term="matplotlib"/><category term="mpmath"/><title type='text'>PYTHON 2</title><subtitle type='html'></subtitle><link rel='http://schemas.google.com/g/2005#feed' type='application/atom+xml' href='http://python273elcriccircle.blogspot.com/feeds/posts/default'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/4931803839836548332/posts/default'/><link rel='alternate' type='text/html' href='http://python273elcriccircle.blogspot.com/'/><link rel='hub' href='http://pubsubhubbub.appspot.com/'/><author><name>Ron Tinnel</name><uri>http://www.blogger.com/profile/12620656110056475098</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><generator version='7.00' uri='http://www.blogger.com'>Blogger</generator><openSearch:totalResults>1</openSearch:totalResults><openSearch:startIndex>1</openSearch:startIndex><openSearch:itemsPerPage>25</openSearch:itemsPerPage><entry><id>tag:blogger.com,1999:blog-4931803839836548332.post-3780592057480312602</id><published>2012-09-07T16:33:00.002-07:00</published><updated>2015-06-07T11:54:29.596-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="matplotlib"/><category scheme="http://www.blogger.com/atom/ns#" term="mpmath"/><category scheme="http://www.blogger.com/atom/ns#" term="NumPy"/><category scheme="http://www.blogger.com/atom/ns#" term="PyOpenGL"/><category scheme="http://www.blogger.com/atom/ns#" term="Python 2.7.8"/><category scheme="http://www.blogger.com/atom/ns#" term="SciPy"/><title type='text'>DOWNLOADING AND INSTALLING, PYTHON 2.7.8</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;
&lt;title&gt;DOWNLOADING AND INSTALLING, PYTHON 2.7.8&lt;/title&gt;

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&lt;b style=&quot;color: red;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: Verdana, sans-serif; font-size: xx-small;&quot;&gt;REVISED: Sunday, June 7, 2015&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
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&lt;b&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;color: magenta; font-family: Verdana, sans-serif;&quot;&gt;In this tutorial, you will learn how to download &amp;nbsp;and install, Python 2.7.8.&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
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&lt;span class=&quot;Apple-style-span&quot; style=&quot;color: red; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;I. &amp;nbsp;PYTHON INTRODUCTION&lt;/b&gt;&lt;/span&gt;
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&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;Python is free to use; even for commercial products!&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;
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&lt;b&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;Python is an easy to learn, powerful programming language.  Python’s elegant syntax and dynamic typing, make it an ideal language for scripting and rapid application development.  Python is an interpreted language, which can save you considerable time during program development because no compilation and linking are necessary.  And, as proof that Python was created to be fun, Python was named after the British Broadcasting Corporation (BBC) show “Monty Python’s Flying Circus!&quot;  &lt;/span&gt;
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&lt;span class=&quot;Apple-style-span&quot; style=&quot;color: red; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;II.  DOWNLOADING AND INSTALLING PYTHON&lt;/b&gt;&lt;/span&gt;
&lt;/div&gt;
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&lt;b&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;To download Python click on the following link:&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;
&lt;/b&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&amp;nbsp;&lt;a href=&quot;http://www.python.org/&quot;&gt;PYTHON&lt;/a&gt;.&lt;br /&gt;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;
&lt;/div&gt;
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&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;Select the appropriate download for your computer; and during the download, select the option which places a Python icon on your desktop. You will then be able to &quot;double left mouse click&quot; the Python icon as a shortcut when you want to start the Python interpreter shell.&lt;/b&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;My computer uses Microsoft Windows; therefore, I used the &quot;Windows Installer&quot; for Python 2.7.8 and my Python download was to the following default hard drive path folder:&lt;/b&gt;&lt;/div&gt;
&lt;b&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;color: blue; font-family: Verdana, sans-serif;&quot;&gt;C:\Python27\&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;If necessary, check your hard drive and write down and remember the hard drive default path folder your computer used for your Python download. &amp;nbsp;You will need to know this default information when you are writing and reading Python files.&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;color: red; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;III. &amp;nbsp;PYTHON DOWNLOAD AND INSTALLATION VAIDATION&lt;/b&gt;&lt;/span&gt;
&lt;/div&gt;
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&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;
&quot;Double left mouse click&quot; the Python icon on your desktop to start the Python interpreter shell.  A Python interpreter shell window will open, as shown below:&lt;br /&gt;
&lt;/b&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;Python 2.7.8 (default, Jun 30 2014, 16:08:48) [MSC v.1500 64 bit (AMD64)] on win32&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;Type &quot;copyright&quot;, &quot;credits&quot; or &quot;license()&quot; for more information.&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;gt;&amp;gt;&amp;gt;&amp;nbsp;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;b&gt;
&lt;br /&gt;
&lt;/b&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;When you see the above message, you have successfully downloaded and installed Python.&lt;/b&gt;
&lt;/div&gt;
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&lt;span class=&quot;Apple-style-span&quot; style=&quot;color: red; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;IV.  DOWNLOADING AND INSTALLING NumPy&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;NumPy is a software package for scientific computing in Python.&lt;/b&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;div&gt;
&lt;b&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;To download NumPy click on the following link:&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;
&lt;/b&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&amp;nbsp;&lt;a href=&quot;http://sourceforge.net/projects/numpy/files/&quot;&gt;NumPy&lt;/a&gt;.&lt;br /&gt;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;b&gt;Select the appropriate download for your computer.&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;
&lt;span class=&quot;Apple-style-span&quot;&gt;&lt;span class=&quot;Apple-style-span&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;I selected  &lt;/span&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;Download numpy-1.6.2-win32-superpack-python2.7.exe (5.7 MB)&lt;/span&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt; and used all of the download defaults.&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/span&gt;



&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;After the download and installation is complete, &quot;double left mouse click&quot; the Python icon on your desktop to start the Python interpreter shell. When the Python interpreter shell window will opens, type the NumPy import and code as shown below:&lt;br /&gt;
&lt;/b&gt;&lt;b style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;Python 2.7.8 (default, Jun 30 2014, 16:08:48) [MSC v.1500 64 bit (AMD64)] on win32&lt;/b&gt;&lt;b&gt;&lt;b&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;br /&gt;
Type &quot;copyright&quot;, &quot;credits&quot; or &quot;license()&quot; for more information.
&lt;br /&gt;
&amp;gt;&amp;gt;&amp;gt;import numpy as np &lt;/span&gt;&lt;span style=&quot;color: blue; font-family: Verdana, sans-serif;&quot;&gt;#Imports NumPy.&lt;/span&gt;&lt;br /&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;
&amp;gt;&amp;gt;&amp;gt;np.arange(10) &lt;/span&gt;&lt;span style=&quot;font-family: Verdana, sans-serif;&quot;&gt;&lt;span style=&quot;color: blue;&quot;&gt;#NumPy creates an array with 0 thru 9 elements&lt;/span&gt;&lt;br /&gt;&lt;span style=&quot;color: purple;&quot;&gt;
array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])&lt;/span&gt;&lt;br /&gt;&lt;span style=&quot;color: purple;&quot;&gt;
&amp;gt;&amp;gt;&amp;gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;

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&lt;/b&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;&lt;br /&gt;&lt;/b&gt;
&lt;b&gt;When you see &lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])&lt;/span&gt;, you have successfully downloaded and installed NumPy.&lt;/b&gt;
&lt;/div&gt;
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&lt;span class=&quot;Apple-style-span&quot; style=&quot;color: red; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;V.  DOWNLOADING AND INSTALLING SciPy&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;SciPy is the scientific algorithms package. SciPy is a software package for mathematics, science, and engineering computing in Python.&lt;/b&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;div&gt;
&lt;b&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;To download SciPy click on the following link:&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;
&lt;/b&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&amp;nbsp;&lt;a href=&quot;http://sourceforge.net/projects/scipy/files/&quot;&gt;SciPy&lt;/a&gt;.&lt;br /&gt;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;b&gt;Select the appropriate download for your computer.&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;
&lt;span class=&quot;Apple-style-span&quot;&gt;&lt;span class=&quot;Apple-style-span&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;I selected &lt;/span&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;Download scipy-0.11.0rc2-win32-superpack-python2.7.exe (47.9 MB)&lt;/span&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt; and used all of the download defaults.&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/span&gt;
&lt;/div&gt;
&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;After the download and installation is complete, &quot;double left mouse click&quot; the Python icon on your desktop to start the Python interpreter shell. When the Python interpreter shell window will opens, type the SciPy import and code as shown below:&lt;br /&gt;
&lt;/b&gt;&lt;b style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;Python 2.7.8 (default, Jun 30 2014, 16:08:48) [MSC v.1500 64 bit (AMD64)] on win32&lt;/b&gt;&lt;b&gt;&lt;b&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;br /&gt;
Type &quot;copyright&quot;, &quot;credits&quot; or &quot;license()&quot; for more information.
&lt;br /&gt;
&amp;gt;&amp;gt;&amp;gt;import scipy as sp &lt;/span&gt;&lt;span style=&quot;color: blue; font-family: Verdana, sans-serif;&quot;&gt;#Imports SciPy.&lt;/span&gt;&lt;br /&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;
&amp;gt;&amp;gt;&amp;gt;from scipy import linalg&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-family: Verdana, sans-serif;&quot;&gt;&lt;span style=&quot;color: blue;&quot;&gt;#SciPy imports the linear algebra sub package.&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;b&gt;&lt;span style=&quot;font-family: Verdana, sans-serif;&quot;&gt;&lt;span style=&quot;color: blue;&quot;&gt;#Solving a linear system.&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;b&gt;&lt;span style=&quot;font-family: Verdana, sans-serif;&quot;&gt;&lt;span style=&quot;color: blue;&quot;&gt;#x+3y+5z=10&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;b&gt;&lt;span style=&quot;font-family: Verdana, sans-serif;&quot;&gt;&lt;span style=&quot;color: blue;&quot;&gt;#2x+5y+z=8&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;b&gt;&lt;span style=&quot;font-family: Verdana, sans-serif;&quot;&gt;&lt;span style=&quot;color: blue;&quot;&gt;#2x+3y+8z=3&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/b&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&lt;span style=&quot;color: purple;&quot;&gt;&amp;gt;&amp;gt;&amp;gt;A = sp.mat(&#39;[1 3 5; 2 5 1; 2 3 8]&#39;) &lt;/span&gt;&lt;span style=&quot;color: blue;&quot;&gt;#Input matrix.&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&lt;span style=&quot;color: purple;&quot;&gt;&amp;gt;&amp;gt;&amp;gt;b = sp.mat(&#39;[10;8;3]&#39;) &lt;/span&gt;&lt;span style=&quot;color: blue;&quot;&gt;#Right hand side vector.&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&lt;span style=&quot;color: purple;&quot;&gt;&amp;gt;&amp;gt;&amp;gt;A.I*b &lt;/span&gt;&lt;span style=&quot;color: blue;&quot;&gt;#Inverse of A multiplied by b.&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&lt;span style=&quot;color: blue;&quot;&gt;#Solution vector is shown below.&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;matrix([[-9.28],&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&amp;nbsp;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;[ 5.16],&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; [ 0.76]])&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;gt;&amp;gt;&amp;gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;When you see the solution vector, at the bottom, as shown above, you have successfully downloaded and installed SciPy.&lt;/b&gt;
&lt;/div&gt;
&lt;br /&gt;
&lt;div&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;color: red; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;VI.  DOWNLOADING AND INSTALLING matplotlib&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;matplotlib is a plotting library for the Python programming language and its NumPy numerical mathematics extension. matplotlib is the whole package; PyLab is a module in matplotlib that gets installed alongside matplotlib; and matplotlib.pyplot is a module in matplotlib.&lt;/b&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;div&gt;
&lt;b&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;To download matplotlib click on the following link:&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;
&lt;/b&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&amp;nbsp;&lt;a href=&quot;http://sourceforge.net/projects/matplotlib/files/matplotlib/matplotlib-1.1.1/&quot;&gt;matplotlib&lt;/a&gt;.&lt;br /&gt;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;b&gt;Select the appropriate download for your computer.&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;
&lt;span class=&quot;Apple-style-span&quot;&gt;&lt;span class=&quot;Apple-style-span&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;I selected &lt;/span&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;Download matplotlib-1.1.0.win32-py2.7.exe (4.2 MB) &lt;/span&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;and used all of the download defaults.&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/span&gt;
&lt;/div&gt;
&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;After the download and installation is complete, &quot;double left mouse click&quot; the Python icon on your desktop. When the &quot;Python Shell&quot; window opens  select &quot;File&quot;, then select &quot;New Window&quot;. In the &quot;New Window&quot; type the following code.  Use four spaces, columns, for each indent.&lt;/b&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;import math&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;import pylab  &lt;/span&gt;&lt;span style=&quot;color: blue; font-family: Verdana, sans-serif;&quot;&gt;# matplotlib&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: blue; font-family: Verdana, sans-serif;&quot;&gt;# create the x list data&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: blue; font-family: Verdana, sans-serif;&quot;&gt;# arange( ) is like range( ) but allows float numbers&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;x_list = pylab.arange(0.0, 5.0, 0.01)&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: blue; font-family: Verdana, sans-serif;&quot;&gt;# calculate the y list data&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;y_list = [ ]&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;for x in x_list:&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;span style=&quot;text-align: justify;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif; text-align: justify;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp;&lt;/b&gt;&lt;/span&gt;&lt;b&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;y = math.cos(2*math.pi*x) *&amp;nbsp;&lt;/span&gt;&lt;/b&gt;&lt;b&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;math.exp(-x)&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;span style=&quot;text-align: justify;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif; text-align: justify;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp;&lt;/b&gt;&lt;/span&gt;&lt;b&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;y_list.append(y)&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;pylab.xlabel(&quot;x&quot;)&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;pylab.ylabel(&quot;cos(2pi * x) * exp(-x)&quot;)&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: blue; font-family: Verdana, sans-serif;&quot;&gt;# draw the plot with a blue line &#39;b&#39; (is default)&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: blue; font-family: Verdana, sans-serif;&quot;&gt;# using x,y data from the x_list and y_list&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: blue; font-family: Verdana, sans-serif;&quot;&gt;#&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: blue; font-family: Verdana, sans-serif;&quot;&gt;# other drawing styles --&amp;gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: blue; font-family: Verdana, sans-serif;&quot;&gt;# &#39;r&#39; red line, &#39;g&#39; green line, &#39;y&#39; yellow line&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: blue; font-family: Verdana, sans-serif;&quot;&gt;# &#39;ro&#39; red dots as markers, &#39;r.&#39; smaller red dots, &#39;r+&#39; red pluses&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: blue; font-family: Verdana, sans-serif;&quot;&gt;# &#39;r--&#39; red dashed line, &#39;g^&#39; green triangles, &#39;bs&#39; blue squares&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: blue; font-family: Verdana, sans-serif;&quot;&gt;# &#39;rp&#39; red pentagons&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: blue; font-family: Verdana, sans-serif;&quot;&gt;#&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;pylab.plot(x_list, y_list, &#39;y&#39;)&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: blue; font-family: Verdana, sans-serif;&quot;&gt;# save the plot as a PNG image file (optional)&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;pylab.savefig(&#39;matplotlibTest.png&#39;)&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: blue; font-family: Verdana, sans-serif;&quot;&gt;# show the pylab plot window&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: blue; font-family: Verdana, sans-serif;&quot;&gt;# you can zoom the graph, drag the graph, change the margins, save the graph&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;pylab.show( )&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;From the &quot;New Window&quot;, do a &quot;File Save As&quot; and save the above Python program, using the file name&amp;nbsp;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;matplotlibTest.py&lt;/span&gt;&amp;nbsp;to the same path which your computer used to download Python 2.7.3. For example, I saved my&amp;nbsp;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;matplotlibTest.py&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;file&lt;/span&gt;&lt;/b&gt;&amp;nbsp;&lt;b&gt;&amp;nbsp;to my Python27 folder using the following path:&lt;/b&gt;&lt;br /&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;b&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;C:\Python27\matplotlibTest.py&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;From the &quot;New Window&quot;, do a &quot;Run&quot; and then a &quot;Run Module F5&quot; and a graph with the title &quot;matplotlibTest&quot; in the top left corner will open.&lt;/b&gt;&lt;br /&gt;
&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;b&gt;When you see the matplotlibTest graph, you have successfully downloaded and installed matplotlib.&lt;/b&gt;
&lt;/div&gt;
&lt;br /&gt;
&lt;div&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;color: red; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;VII. DOWNLOADING AND INSTALLING PyOpenGL&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;PyOpenGL produces 2D and 3D computer graphics and supports the GL, GLU, GLE, and GLUT libraries.&lt;/b&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;div&gt;
&lt;b&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;To download PyOpenGL click on the following link:&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&amp;nbsp;&lt;/b&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&amp;nbsp;&lt;a href=&quot;http://sourceforge.net/projects/pyopengl/files/latest/download?source=files&quot;&gt;PyOpenGL&lt;/a&gt;.&lt;/span&gt;&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;b&gt;Select the appropriate download for your computer.&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;Apple-style-span&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;I selected&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;Download PyOpenGL-3.0.1.win32.exe (1.1 MB)&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;and used all of the download defaults.&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;After the download and installation is complete, &quot;double left mouse click&quot; the Python icon on your desktop. When the &quot;Python Shell&quot; window opens select &quot;File&quot;, then select &quot;New Window&quot;. In the &quot;New Window&quot; type the following code. Use four spaces, columns, for each indent.&lt;/b&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;from OpenGL.GL import *&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;
&lt;b style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;from OpenGL.GLUT import *&lt;/b&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;from OpenGL.GLU import *&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/b&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;import random&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/b&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;def initFun( ):&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; glClearColor(1.0,1.0,1.0,0.0)&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; glColor3f(0.0,0.0, 0.0)&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; glPointSize(1.0)&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; glMatrixMode(GL_PROJECTION)&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; glLoadIdentity()&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; gluOrtho2D(0.0,640.0,0.0,480.0)&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;b&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;def displayFun( ):&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; glClear(GL_COLOR_BUFFER_BIT)&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; glBegin(GL_POINTS)&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/b&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; x=[0.0,640.0,320.0]&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; y=[0.0,0.0 &amp;nbsp;,480.0]&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/b&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;span style=&quot;line-height: 20px; white-space: nowrap;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; curx=0&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; cury=320&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; glVertex2f(curx,cury)&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; for i in range(0,500000):&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; idx=random.randint(0,2)&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; curx=(curx+x[idx])/2.0&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; cury=(cury+y[idx])/2.0&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; glVertex2f(curx,cury)&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; glEnd( )&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; glFlush( )&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/b&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;if __name__ == &#39;__main__&#39;:&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; glutInit( )&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; glutInitWindowSize(640,480)&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; glutCreateWindow(&quot;pyOpenGLTest&quot;)&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; glutInitDisplayMode(GLUT_SINGLE | GLUT_RGB)&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; glutDisplayFunc(displayFun)&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; initFun( )&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; glutMainLoop( )&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;From the &quot;New Window&quot;, do a &quot;File Save As&quot; and save the above Python program, using the file name&amp;nbsp;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;pyOpenGLTest.py&lt;/span&gt;&amp;nbsp;to the same path which your computer used to download Python 2.7.3. For example, I saved my&amp;nbsp;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;pyOpenGLTest.py&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;file&lt;/span&gt;&lt;/b&gt;&lt;span style=&quot;text-align: justify;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;b style=&quot;text-align: justify;&quot;&gt;&amp;nbsp;to my Python27 folder using the following path:&lt;/b&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;C:\Python27\pyOpenGLTest.py&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;From the &quot;New Window&quot;, do a &quot;Run&quot; and then a &quot;Run Module F5&quot; and a window with a triangle with the title &quot;pyOpenGLTest&quot; in the top left corner will open.&lt;/b&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;When you see the window with a triangle with the title &quot;pyOpenGLTest&quot; in the top left corner, you have successfully downloaded and installed pyOpenGL.&lt;/b&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;div&gt;
&lt;div&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;color: red; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;VIII. DOWNLOADING AND INSTALLING mpmath&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;mpmath is a pure-Python library for multiprecision floating-point arithmetic. &lt;/b&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;div&gt;
&lt;b&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;To download mpmath click on the following link:&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&amp;nbsp;&lt;/b&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&amp;nbsp;&lt;a href=&quot;http://code.google.com/p/mpmath/downloads/detail?name=mpmath-0.17.win32.exe&quot;&gt;mpmath&lt;/a&gt;.&lt;/span&gt;&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;b&gt;Select the appropriate download for your computer.&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: inherit;&quot;&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;Apple-style-span&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;I selected&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;mpmath-0.17.win32.exe&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;and used all of the download defaults.&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;After the download and installation is complete, &quot;double left mouse click&quot; the Python icon on your desktop. When the &quot;Python Shell&quot; window opens select &quot;File&quot;, then select &quot;New Window&quot;. In the &quot;New Window&quot; type the following code. Use four spaces, columns, for each indent.&lt;/b&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;from mpmath import *&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;mp.dps = 60&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;print &quot;pi to 60 decimal places: &quot;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;print pi&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/span&gt;
&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;From the &quot;New Window&quot;, do a &quot;File Save As&quot; and save the above Python program, using the file name&amp;nbsp;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;mpmathTest.py&lt;/span&gt;&amp;nbsp;to the same path which your computer used to download Python 2.7.3. For example, I saved my&amp;nbsp;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;mpmathTest.py&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;file&lt;/span&gt;&lt;/b&gt;&amp;nbsp;&lt;b&gt;&amp;nbsp;to my Python27 folder using the following path:&lt;/b&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;&lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;C:\Python27\mpmathTest.py&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;From the &quot;New Window&quot;, do a &quot;Run&quot; and then a &quot;Run Module F5&quot; and the &amp;nbsp;&quot;Python Shell&quot; window will open.&lt;/b&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;When you see &lt;span style=&quot;color: purple; font-family: Verdana, sans-serif;&quot;&gt;pi&lt;/span&gt; printed to 60 places on the &quot;Python Shell&quot; window, you have successfully downloaded and installed mpmath.&lt;/b&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b style=&quot;text-align: justify;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;color: magenta; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;color: magenta; font-family: Verdana, sans-serif;&quot;&gt;In this tutorial, you have learned how to download and install, Python 2.7.8.&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b style=&quot;text-align: justify;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;color: magenta; font-family: Verdana, sans-serif;&quot;&gt;&lt;b&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;color: magenta; font-family: Verdana, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/b&gt;
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How to Link to My Home Page&lt;/span&gt;&lt;/h1&gt;
&lt;form action=&quot;http://www.example.com/&quot;&gt;
&lt;label for=&quot;linkcode&quot;&gt;
To link to &quot;MY Home Page&quot; from your website, simply copy and paste the following code into your website HTML page:
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&lt;textarea cols=&quot;43&quot; id=&quot;linkcode&quot; onclick=&quot;this.focus();this.select();&quot; readonly=&quot;readonly&quot; rows=&quot;5&quot; title=&quot;Select the text here, click your right mouse button, click the Copy menu item, and paste it into your web page in HTML source mode&quot;&gt;&lt;p&gt;
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&lt;a href=&quot;http://goo.gl/Hm4Lb&quot; target=&quot;_top&quot;&gt;&quot;Link to: ELCRIC OTTO CIRCLE&#39;s Home Page&quot;&lt;/a&gt;
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&lt;br /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://python273elcriccircle.blogspot.com/feeds/3780592057480312602/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://python273elcriccircle.blogspot.com/2012/09/function-var-po-document.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/4931803839836548332/posts/default/3780592057480312602'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/4931803839836548332/posts/default/3780592057480312602'/><link rel='alternate' type='text/html' href='http://python273elcriccircle.blogspot.com/2012/09/function-var-po-document.html' title='DOWNLOADING AND INSTALLING, PYTHON 2.7.8'/><author><name>Ron Tinnel</name><uri>http://www.blogger.com/profile/12620656110056475098</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgIgeGbjeBLKT2NaRtHs-eUINemuAVMCl6WW7AT9SCjlkRtPufo7JHBp4GACNOObPVJTwwwi5fX7pWBj0fN8_V7vYeJO2H75UVvO5Pj5Ka9Rzhln3Bqc5RggkLwFfuyWWYA26wkBwb7FL8/s72-c/avatar.gif" height="72" width="72"/><thr:total>0</thr:total></entry></feed>