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<div class=" highlight hl-ipython2"><pre><span class="kn">import</span> <span class="nn">numpy</span><span class="o">,</span> <span class="nn">scipy</span><span class="o">,</span> <span class="nn">matplotlib.pyplot</span> <span class="kn">as</span> <span class="nn">plt</span><span class="o">,</span> <span class="nn">pandas</span><span class="o">,</span> <span class="nn">librosa</span>
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<p>You are looking at an <strong>IPython Notebook</strong>, an interactive Python shell inside of a web browser. With it, you can run individual Python commands and immediately view their output.  It's basically the Matlab Desktop or Mathematica Notebook for Python.</p>
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<pre><code>$$ \max_{||w||=1} \sum_{i=1}^{N} \big| \langle w, x_i - m \rangle \big|^2 $$</code></pre>

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<p>Output:</p>

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$$ \max_{||w||=1} \sum_{i=1}^{N} \big| \langle w, x_i - m \rangle \big|^2 $$
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<h2 id="Default-Imports">Default Imports<a class="anchor-link" href="#Default-Imports">&#182;</a></h2>
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<p>If you run IPython inside the <a href="https://vagrantcloud.com/stevetjoa/stanford-mir"><code>stanford-mir</code> Vagrant box</a> used for this workshop, every IPython notebook will automatically have the following packages imported:</p>

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<pre><code>import numpy
import scipy
import pandas
import matplotlib
import matplotlib.pyplot as plt
import librosa</code></pre>

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<div class=" highlight hl-ipython2"><pre><span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">scipy</span><span class="o">.</span><span class="n">hamming</span><span class="p">(</span><span class="mi">101</span><span class="p">))</span>
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<pre>[&lt;matplotlib.lines.Line2D at 0x108759110&gt;]</pre>
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<div class=" highlight hl-ipython2"><pre><span class="c"># Press Tab at the end of the following line</span>
<span class="n">scipy</span><span class="o">.</span><span class="n">sin</span>
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<pre>&lt;ufunc &apos;sin&apos;&gt;</pre>
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<div class=" highlight hl-ipython2"><pre><span class="n">x</span> <span class="o">=</span> <span class="n">scipy</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">50</span><span class="p">)</span>
<span class="c"># Try these too:</span>
<span class="c"># x = scipy.randn(50)</span>
<span class="c"># x = scipy.linspace(0, 1, 50, endpoint=False)</span>
<span class="n">x</span>
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<pre>array([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16,
       17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33,
       34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49])</pre>
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