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<h5 class="pf0"><span id="docs-internal-guid-7d3a7df0-7fff-9a77-8c28-d79cbe175635"><span style="font-size: 16pt; font-family: Inter, sans-serif; color: #333333; background-color: transparent; font-weight: 600; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">Overview</span></span></h5>
<p class="pf0"><span class="cf0">This tutorial introduces matplotlib, a Python library for plotting </span><span class="cf0">numpy</span><span class="cf0"> arrays as images.</span></p>
<p class="pf0"><span class="cf0">Follow the instructions below to download the tutorial and open it in the Sandbox.</span></p>
<p class="pf0"></p>
<h5 class="pf0"><span class="cf0"><span id="docs-internal-guid-00c8ed36-7fff-708d-fa98-f20ce8cbb926"><span style="font-size: 16pt; font-family: Inter, sans-serif; color: #333333; background-color: transparent; font-weight: 600; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">Download the tutorial notebook</span></span></span></h5>
<ul>
<ul>
<li><a href="https://learn.digitalearthafrica.org/assets/courseware/v1/5b5c6251a5e34536f055a256f57d4eb2/asset-v1:digitalearthafrica+DEA101+2021+type@asset+block/03_download-matplotlib.ipynb" target="_blank">Download the Python basics 3 tutorial notebook</a></li>
<li><a href="https://learn.digitalearthafrica.org/assets/courseware/v1/ac1f7795a228ab3c51b6709c9c88296d/asset-v1:digitalearthafrica+DEA101+2021+type@asset+block/Guinea_Bissau.JPG" target="_blank"><span class="cf0">Download the exercise image file</span></a></li>
</ul>
</ul>
<p class="pf0"><span class="cf0">To view this notebook on the Sandbox, you will need to first download the notebook and the image to your computer, then upload both of them to the Sandbox. Ensure you have followed the set</span><span class="cf1">‑</span><span class="cf0">up prerequisites listed in <strong>Python basics 1: </strong></span><strong><span class="cf0">Jupyter</span></strong><span class="cf0">, and then follow these instructions:</span></p>
<p>1. Download the notebook by clicking the link above. Download the image by clicking the second link above. Ensure the image file is named <code style="background-color: #ffffff;"><span style="color: #339966;">Guinea_Bissau.JPG</span>.</code><br />2. On the Sandbox, open the <strong>Training</strong> folder.<br />3. Click the <strong>Upload</strong> Files button as shown below.</p>
<p><img height="114" width="400" src="/assets/courseware/v1/4ea6ce25bce944072250cbc0e0f815fb/asset-v1:digitalearthafrica+DEA101+2021+type@asset+block/Image184.png" alt="Image" /><br />4. Select the downloaded notebook using the file browser. Click <strong>OK</strong>.<br />5. Repeat to upload the image file to the <strong>Training</strong> folder. It may take a while for the upload to complete.<br /><span class="cf0">6. Both files will appear in the Training folder. Double</span><span class="cf1">‑</span><span class="cf0">click the tutorial notebook to open it and begin the tutorial.</span></p>
<p>You can now use the tutorial notebook as an interactive version of this webpage.</p>
<p><em><span class="cf0"><strong>Note</strong>: The tutorial notebook should look like the text and code below. However, the tutorial notebook outputs are blank (i.e., no results showing after code cells). Follow the instructions in the notebook to run the cells in the tutorial notebook. Refer to this page to check that your outputs look similar.</span></em></p>
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<h3 class="pf0"><strong><span class="cf0">Introduction to matplotlib's </span><span class="cf0">pyplot</span></strong></h3>
<p class="pf0"><span class="cf0">We are going to use part of matplotlib called </span><code><span class="cf0" style="color: #339966;">pyplot</span></code><span class="cf0">. We can import </span><span class="cf0">pyplot</span><span class="cf0"> by specifying it comes from matplotlib. We will abbreviate </span><code><span class="cf0" style="color: #339966;">pyplot</span></code><span class="cf0"> to </span><code><span class="cf0" style="color: #339966;">plt</span></code><span class="cf0">.<br />_____________________________________________________________</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">%matplotlib</span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">inline</span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #b80672; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"># Generates plots in the same page instead of opening a new window</span></p>
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<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #1967d2; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">import</span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">numpy</span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #1967d2; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">as</span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">np</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #1967d2; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">from</span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">matplotlib</span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #1967d2; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">import</span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">pyplot</span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #1967d2; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">as</span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">plt<br /><span style="color: #3c3c3c; font-family: 'Open Sans', Verdana, Arial, Helvetica, sans-serif; font-size: 16px; white-space-collapse: collapse;">_____________________________________________________________</span></span></p>
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<p><span class="cf0">Images are 2</span><span class="cf1">‑</span><span class="cf0">dimensional arrays containing pixels. Therefore, we can use 2</span><span class="cf1">‑</span><span class="cf0">dimensional arrays to represent image data and visualise with matplotlib.</span></p>
<p class="pf0"><strong><span class="cf0">Create and visualise an array</span></strong></p>
<p></p>
<p class="pf0"><span class="cf0">In the example below, we will use the </span><span class="cf0">numpy</span><span class="cf0"> </span><code><span class="cf0" style="color: #ff0000;">arange</span></code><span class="cf0"> function to generate a 1-dimensional array filled with elements from <code><span style="color: #ff0000;">0</span> </code>to <code>99</code>, and then reshape it into a 2-dimensional array using <code><span style="color: #ff0000;">reshape</span></code>.</span></p>
<p class="pf0"><span class="cf0">_____________________________________________________________</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 12pt; margin-bottom: 0pt;"><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">arr</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">=</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">np.arange(</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">100</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">).reshape(</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">10</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">,</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">10</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">)</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 12pt; margin-bottom: 0pt;"><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #1967d2; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">print</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">(arr)</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 12pt; margin-bottom: 0pt;"><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">plt.imshow(arr)</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 10pt; margin-bottom: 0pt;"><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">[[</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">0</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">1</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">2</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">3</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">4</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">5</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">6</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">7</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">8</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">9</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">]</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 10pt; margin-bottom: 0pt;"><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">[</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">10</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">11</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">12</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">13</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">14</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">15</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">16</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">17</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">18</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">19</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">]</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 10pt; margin-bottom: 0pt;"><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">[</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">20</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">21</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">22</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">23</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">24</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">25</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">26</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">27</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">28</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">29</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">]</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 10pt; margin-bottom: 0pt;"><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">[</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">30</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">31</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">32</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">33</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">34</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">35</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">36</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">37</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">38</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">39</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">]</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 10pt; margin-bottom: 0pt;"><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">[</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">40</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">41</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">42</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">43</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">44</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">45</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">46</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">47</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">48</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">49</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">]</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 10pt; margin-bottom: 0pt;"><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">[</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">50</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">51</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">52</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">53</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">54</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">55</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">56</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">57</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">58</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">59</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">]</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 10pt; margin-bottom: 0pt;"><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">[</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">60</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">61</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">62</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">63</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">64</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">65</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">66</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">67</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">68</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">69</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">]</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 10pt; margin-bottom: 0pt;"><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">[</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">70</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">71</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">72</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">73</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">74</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">75</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">76</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">77</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">78</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">79</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">]</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 10pt; margin-bottom: 0pt;"><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">[</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">80</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">81</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">82</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">83</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">84</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">85</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">86</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">87</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">88</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">89</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">]</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 10pt; margin-bottom: 0pt;"><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">[</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">90</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">91</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">92</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">93</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">94</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">95</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">96</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">97</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">98</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">99</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">]]</span></p>
<p class="pf0"><span class="cf0">_____________________________________________________________</span></p>
<p class="pf0"><span class="cf0">_____________________________________________________________</span></p>
<p class="pf0"><span class="cf0"><span id="docs-internal-guid-60e136a0-7fff-376b-da12-26cbd572fce9"><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"><matplotlib.image.AxesImage</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">at</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #c5221f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">0x7f33279840f0</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">></span></span></span></p>
<p class="pf0"><span class="cf0">_____________________________________________________________</span></p>
<p class="pf0"><span class="cf0"><img height="248" width="245" src="/assets/courseware/v1/da5979d452b4777c39cb0105a345f4a6/asset-v1:digitalearthafrica+DEA101+2021+type@asset+block/Image185.png" alt="Image" /></span></p>
<p class="pf0"></p>
<p class="pf0"><span class="cf0">If you remember from the last tutorial, we were able to address regions of a </span><span class="cf0">numpy</span><span class="cf0"> array using the square bracket <code>[ ]</code> index notation. For multi-dimensional arrays we can use a comma , to distinguish between axes.</span></p>
<p class="pf0"><span class="cf0">_____________________________________</span></p>
<p class="pf0"><span class="cf0"><span id="docs-internal-guid-5d084b1a-7fff-f631-1287-69906472be52"><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">[</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">first</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">dimension,</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">second</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">dimension,</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">third</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">dimension,</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">etc.</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">]</span></span></span></p>
<p class="pf0"><span class="cf0">____________________________________</span></p>
<p class="pf0"></p>
<p class="pf0"><span class="cf0">As before, we use colons : to denote <code><span style="color: #ff0000;">[ start : end : stride ]</span></code>. We can do this for each dimension.</span></p>
<p class="pf0"></p>
<p class="pf0"><span class="cf0">For example, we can update the values on the left part of this array to be equal to <code><span style="color: #ff0000;">1</span></code>.</span></p>
<p class="pf0"><span class="cf0">_________________________________________</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 10pt; margin-bottom: 0pt;"><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">arr</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">=</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">np.arange(</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">100</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">).reshape(</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">10</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">,</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">10</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">)</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 10pt; margin-bottom: 0pt;"><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">arr[:,</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">:</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">5</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">]</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">=</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">1</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 10pt; margin-bottom: 0pt;"><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">plt.imshow(arr)</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 10pt; margin-bottom: 0pt;"><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><matplotlib.image.AxesImage</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">at</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">0x7f33274d7198</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">></span></p>
<p class="pf0"><span class="cf0">__________________________________________</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 10pt; margin-bottom: 0pt;"><span id="docs-internal-guid-6da530a4-7fff-3c9b-b86a-4809adc40a60"><span style="font-size: 9pt; font-family: 'Courier New', monospace; color: #000000; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"><span style="border: none; display: inline-block; overflow: hidden; width: 245px; height: 248px;"><img alt="../_images/python_basics_03_matplotlib_12_1.png" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPUAAAD4CAYAAAA0L6C7AAAPi0lEQVR4AeydS4xVVRaGNxSXooAuUEGLl1ptfMQYBZtWwcROKE18RUynk8ZEp0x8x8ToyJGOjNGBMSEaJxqNQQfGGDUddeCESKlRoTQxCoJg1G5URFMUUP0vpSJe6pa7Lvucs/Y5X2f9d9/HuXv/+1vnv68i7czA/yAAgVoRINS1aiebgUAIhJqzAAI1I0Coa9ZQtgOBnEJNtyAAgQgChDoCEodAICcChYS6FWaP/yWchDJi0N9zynghmrVovL8QLda8idXSfIXo1PH+Vlq1Zs4Z7/RCU0io54R54dIZQygjBmvmrw+FaOE/w5oidPK/wprEWrv436EQDdwU1iZWX09/p0zz63dHMif2AM+GQGUECnmnrmw3LAwBCPBOzTkAgboR4J26bh1lP40nQKgbfwoECNSMAKGuWUPZDgRiQ321UH0qfSbdJ1EQgIBTAjGh7pH3x6VrpPOlmyQbNVAQgIA3AjGhvkSm7R36c40Hpeel9RIFgbIJsF4EgZhQL9M8u6SJ2q0rdp+GP9RG3dpqGgujGigIQKAKAjGhjvW1SQeuNrVCrwYKAhCogkBMqL+SsRXSRC3XFbtPAwUBCHgjEBPqd2X6bGlQmi1tkF6WKAhAoDOByh6JCfUhubtNel0akV6QtkkUBCDgkEBMqM32q7o4RzpLelCiIAABpwRiQ+3UPrYgAIF2AoS6nQi3IZA5gS5CnfmOsQ+BmhMg1DVvMNtrHgFC3byes+OaEyDUNW9w7PbG/7o8FKEjg0tDETo8OBBSa2zwtFCEDg6eGlJrvHdWx9bWPNQd980DEKgtAUJd29aysaYSINRN7Tz7ri0BQl3b1rKxphIg1G46jxEIpCFAqNNwZBYIuCFAqN20AiMQSEOAUKfhyCwQcEOAULtpRU5G8OqZAKH23B28QaALAoS6C2g8BQKeCRBqz93BGwS6IECou4DGU3Ii0DyvhLp5PWfHNSdAqGveYLbXPAKEunk9Z8c1J0Coa95gtpcTgTReCXUajswCATcECLWbVmAEAmkIEOo0HJkFAm4IEGo3rcAIBNIQKCfUabwyS4EEDpwxPxSi0+eFA4VoruZNq59W9IVi1Kt50+rw7M7R7fxIgScQU0MAAsURINTFsWVmCFRCgFBXgp1FIVAcAULdzpbbEMicAKHOvIHYh0A7AULdToTbEMicAKHOvIHYh0A7gZhQr9CT3pK2S9ukOyXKAwE8QGASAjGhPqTn3SOdL10m3SrZdQ0UBCDgjUBMqPfK9HuS1X5djEjLJAoCEHBIICbUx9o+UzdWSVuk9tqoO7aaxsKoBgoCEKiCwHRCPV8GX5Tukn6U2muT7lhtaoVeDRQEjiHA1dIIxIa6JUcW6Gc1viRREICAUwIxoZ4h709J9l36EY0UBCDgmEBMqC+X/1ukddIHR3WtRgoCEHBIICbU78i3vVtfqHHlUb2qkYJAPQlkvquYUGe+RexDoFkECHWz+s1uG0CAUDegyWyxWQQIdbP6zW7rRmCS/RDqSaA08a6flvaEnLR/WU9IrQNLZ4Yi9JPmTa0j9i9HOpyohLoDGO6GQK4ECHWuncM3BDoQINQdwHA3BHIl4DbUuQLFNwSqJkCoq+4A60MgMQFCnRgo00GgagKEuuoOsD4EEhMg1AmAMgUEPBEg1J66gRcIJCBAqBNAZAoIeCJAqD11Ay8QSECAUCeAmNMUeK0/AUJd/x6zw4YRINQNazjbrT8BQl3/HrPDhhEg1A1reE7bxWt3BAh1d9x4FgTcEiDUbluDMQh0R4BQd8eNZ0HALQFC7bY1GMuJgCevhNpTN/ACgQQECHUCiHWY4uclIRSjcc2bXr8sGQ+p9fPAeChCvwwcCanF/5toHVLHHiAQSYB36khQHAaBXAj8Wahz2Qc+IQCBowQI9VEQDBCoCwFCXZdOsg8IHCVAqI+CYIBAXQjUKdR16Qn7gMAJEZhOqHu00vvSKxIFAQg4JTCdUN+pPYxIFAQg4JhAbKiXaw/XSU9KFAQg4JhAbKgf1R7ulY5InWqjHthqGgujGqgpCPAQBAojEBPq67X6N9KwNFVt0oOrTa3Qq4GCAASqIBAT6stl7AZph/S8tE56RqIgAAGHBGJCfb9823fqMzVukN6UbpYoCEDAIYGYUDu0jaUSCbBUZgSmG+q3tT/7jq2BggAEPBKYbqg97gFPEIDAMQQI9TEwuAqBOhAg1HXoInuYIMAoAoRaECgI1IkAoa5TN9kLBESAUAsCFcLokkOF6ODAWChChwYOhtQ6vGQ0FKGgeZOr1flfbBNqEg2BaggUtiqhLgwtE0OgGgKEuhrurAqBwggQ6sLQMjEEqiFAqKvhzqoQKIxAAaEuzCsTQwACEQQIdQQkDoFATgQIdU7dwisEIggQ6ghIHAKBnAg0PNQ5tQqvEIgjQKjjOHEUBLIhQKizaRVGIRBHgFDHceIoCGRDgFBn0yqMQiCOAKGO48RREMiGAKHOplUYhUAcAUIdx4mjIJANAUKdTatyMorXKgkQ6irpszYECiBAqAuAypQQqJIAoa6SPmtDoAAChLoAqDlOefLAD6EILda8RWjJwL6QRr/Pc/rA/0IROuO0/4bUmt063PE0I9Qd0fAABPIkQKjz7BuuIdCRAKHuiIYHIJAnAUKdZ99w3UgCcZsm1HGcOAoC2RAg1Nm0CqMQiCNAqOM4cRQEsiEQG+qF2tFm6RNpRFojURCAgEMCsaF+TN5fk86TLpIs2BoSFdNAAALJCMSEeoFWu0J6SrI6qIvvJQoCEHBIICbUg/L9rfS09L70pDRPaq+NumOraSyMaqAgAIEqCMSEepaMXSw9Ia2SDkj3Se21SXesNrVCrwYKAhCogkBMqHfLmGmLRiv7wcxCbtebJ3YMAecEYkL9tfawSzpXshrSxXaJggAEHBKICbXZvl0Xz0ofSiulhyQKAhBwSCA21B/Iu31fvlDjjdI+iYIABBwSiA21Q+tY+lMCHNBIAoS6kW1n03UmQKjr3F321kgChLqRbWfTdSZAqOvc3Zz2htdkBAh1MpR5T7Ry8Z5QhFYt3h2K0N8W7Qqp9fdFO0MRuvSUHSG15s/q/E+xCXXeWcQ9BI4jQKiPQ8IdEMibAKHOu3+4r4KA8zUJtfMGYQ8C0yVAqKdLjOMh4JwAoXbeIOxBYLoECPV0iXE8BJwT+EOonXvFHgQgEEGAUEdA4hAI5ESAUOfULbxCIIIAoY6AxCEQyIlAtqHOCTJeIVAmAUJdJm3WgkAJBAh1CZBZAgJlEiDUZdJmLQiUQIBQlwCZJSBQJgFCXSZt1oJACQQIdQmQWQICZRIg1GXSZi0IlECAUJcAOacl8Jo/AUKdfw+T7OAfCz8JRWho4fZQhNYtGAmpNdQvr4VoWxjqT6u/zPylY98JdUc0PACBPAkQ6jz7hmsIdCRAqDui4QHvBPA3OQFCPTkX7oVAtgQIdbatwzgEJidAqCfnwr0QyJYAoc62dRjPiUCZXmNDfbdMbZM+lp6T5kgUBCDgkEBMqJfJ9x3SaukCqUfaIFEQgIBDAjGhNtuzdNEn2ThX4x6JggAEHBKICfVX8v2w9KW0V/pBekNqr426Y6tpLHT+b+fqcQoCECiQQEyoT9L666VBaak0T7pZsjpWm3TDPqKvboVeXaUgAIEqCMSE+koZ+0L6VhqTXpLWShQEIOCQQEyo7WP3ZfJu36VnaBySRiQKAhBwSCAm1Fvke7P0nvSRZM+xj9q6SkEAAt4IWEBjPD2gg86T7E9at2jM8Zcw2aYgUH8CsaGuPwl2CIGaECDUNWkk24DABAFCPUGCEQI1IUCofTYSVxDomgCh7hodT4SATwKE2mdfSnd11dwdoRD17Q1XFaAr+74LqTXU93MoRoc1b1r1T5HcKR4q/bxiQQhAIAEBQp0AYsOnYPvOCBBqZw3BDgROlAChPlGCPB8CzggQamcNwQ4ETpQAoT5Rgjw/JwKN8EqoG9FmNtkkAoS6Sd1mr40gQKgb0WY22SQChLpJ3WavORHo2iuh7hodT4SATwKE2mdfcAWBrgkQ6q7R8UQI+CRAqH32BVcQ6JpABaHu2itPhAAEIggQ6ghIHAKBnAgQ6py6hVcIRBAg1BGQOAQCOREg1FN2iwchkB8BQp1fz3AMgSkJEOop8fAgBPIjUEio94d93/1nfPNwhHZGHBMzT1nH5OR3Wl6Xr/h6uAgtWr5nOFI7I4/7db4Fy3YPp9acpV8MR2pn5HG/ztez5LPh1Br+cPS7Ti83hYRaiy2Wfv0P0P/JaMZijvNyjGO/oZ1RTl7Ne05+PXi1jClex1dRoT5+Je6BAARKIUCoS8HMIhAoj0DVod5U3laTrJST35y8WnNy8uvaK6G20ylerpvZtg3HXtuc/nYzJ7+uvVYd6t/aySUEIJCMAKFOhpKJIOCDQJWhvloIPpU+k+6TvNYKGXtL2i5tk+6UcqgemXxfekXyXAtlbrP0iTQirZE8190yZ+fBxxqfk+ZIrqqqUNsJ97hIXCOdL90k2ajBXR2So3sk83eZxlslu67BddmLj4XEtUmZe0x6TTpPukhy5lmOfq9lunqHZH9Xv0CjnccbNLqqqkJ9iSjYO/TnGg9Kz0vrJY+1V6bek6z268JOOmuurrqt5XJ2nfSk5LkWyNwV0lOSlZ0L39sVx5olb32SjXM17pFcVVWhtlDsOobEbl23+zS4rjPlbpW0RfJcj8rcvdIRyXMNyty30tOSfVWwF6F5uu61vpKxh6UvJXux/0HjG5KrqirUriBEmpmv416U7pJ+lLzW9TL2jTQseS97t7tYJp+Q7MXygEbPv6+cJH/2idJejJbqur0A3azRVVUVanvFsx+gJmDYx0W7b+K2t7ElQxboZzW+JHmuy2XuBmmHZF9r1ml8RvJY9gnNNPHJx34ws5B79GqertTFF5J9uhjTaOfCWo1O6jcbVYX6XS1/tmSveLM12o8NL2v0WDNkyr7z2XfpR3Tde90vg/YiaV8VjOubuu3u3USerL7WhX0NO1ej1ZAu7K8MGlyWfey2H0vtu7SdF+bXzgtXZqsKtf2ifJtIvC4ZlBc02p8JNLgre+e7Ra7sHe8DjaZrNVJpCNyuaewT0IcaV0oPSV7LPlHYpwn74fQjmbT8uPvXZWZK3iqpV7XqOdJZ0oOS13pHxuxV+UKNdtKZzLtuuq+35dC+Y2twW/YiaX8iMr43yuU+yXM9IHP25zf7k5a92I/qtquqMtSuQGAGAnUhkEeo60KbfUCgBAKEugTILAGBMgkQ6jJpsxYESiBAqEuAzBIQKJMAoU5Nm/kgUDEBQl1xA1geAqkJ/B8AAP//CcA8fgAAAAZJREFUAwAo07V4m0fEJQAAAABJRU5ErkJggg==" width="245" height="248" style="margin-left: 0px; margin-top: 0px;" /></span></span></span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 10pt; margin-bottom: 0pt;"></p>
<p class="pf0"><span class="cf0"><span class="cf0">The indexes in the square brackets of </span><span class="cf0">arr</span><span class="cf0">[:, :5] can be broken down like this:</span></span></p>
<p class="pf0"><span class="cf0"><span class="cf0">__________________________________________</span></span></p>
<p class="pf0"><span class="cf0"><span class="cf0"><span id="docs-internal-guid-6e643a66-7fff-f1ee-121a-0657dfd9e59e"><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">[</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #c5221f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">1st</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">dimension</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">start</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">:</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #c5221f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">1st</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">dimension</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">end,</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #c5221f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">2nd</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">dimension</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">start</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">:</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #c5221f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">2nd</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">dimension</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">end</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">]</span></span></span></span></p>
<p class="pf0"><span class="cf0"><span class="cf0">__________________________________________</span></span></p>
<p class="pf0"><span class="cf0"><span class="cf0"><span class="cf0">Dimensions are separated by the comma <span style="color: #ff0000;">,</span>. Our first dimension is the vertical axis, and the second dimension is the horizontal axis. Their spans are marked by the colon <span style="color: #ff0000;">:</span>. Therefore:</span></span></span></p>
<p class="pf0"><span class="cf0"><span class="cf0"><span class="cf0">__________________________________________</span></span></span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 10pt; margin-bottom: 0pt;"><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">[</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Vertical</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">start</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">:</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Vertical</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">end,</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Horizontal</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">start</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">:</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Horizontal</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">end</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">]</span></p>
<p class="pf0"><span class="cf0"><span class="cf0"><span class="cf0">__________________________________________</span></span></span></p>
<p class="pf0"><span class="cf0"><span class="cf0"><span class="cf0"><span class="cf0">If there are no indexes entered, then the array will take all values. This means <code><span style="color: #ff0000;">[:, :5]</span></code> gives:</span></span></span></span></p>
<p class="pf0"><span class="cf0"><span class="cf0"><span class="cf0"><span class="cf0">______________________________________________</span></span></span></span></p>
<p class="pf0"><span class="cf0"><span class="cf0"><span class="cf0"><span class="cf0"><span id="docs-internal-guid-fc47e6f0-7fff-fa92-23e7-84c7eb856866"><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">[</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">Vertical</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">start</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">:</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">Vertical</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">end,</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">Horizontal</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">start</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">:</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">Horizontal</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">start</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">+</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #c5221f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">5</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">]</span></span></span></span></span></span></p>
<p class="pf0">______________________________________________</p>
<p class="pf0"><span class="cf0">Therefore the array index selected the first 5 pixels along the width, at all vertical values.</span></p>
<p class="pf0"><span class="cf0">Now let’s see what that looks like on an actual image.</span></p>
<p class="pf0"><strong><span class="cf0">Import images using </span><span class="cf0">pyplot</span></strong></p>
<p class="pf0"><span class="cf0"><strong>Tip</strong>: Ensure you uploaded the file <span style="color: #ff0000;">Guinea_Bissau.JPG</span> to your Training folder along with the tutorial notebook. We will be using this file in the next few steps and exercises.</span></p>
<p class="pf0"><span class="cf0">We can use the </span><span class="cf0">pyplot</span><span class="cf0"> library to load an image using the matplotlib function </span><span style="color: #ff0000;"><span class="cf0">imre</span><span class="cf0">ad</span><span class="cf0">. </span><span class="cf0">i</span><span class="cf0">mread</span></span><span class="cf0"> reads in an image file as a 3-dimensional </span><span class="cf0">numpy</span><span class="cf0"> array. This makes it easy to manipulate the array.</span></p>
<p class="pf0"><span class="cf0">By convention, the first dimension corresponds to the vertical axis, the second to the horizontal axis and the third are the Red, Green and Blue channels of the image. Red-green-blue channels conventionally take on values from 0 to 255.</span></p>
<p class="pf0"><span class="cf0">______________________________________________</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 10pt; margin-bottom: 0pt;"><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">im</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">=</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">np.copy(plt.imread(</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #188038; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">'Guinea_Bissau.JPG'</span><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">))</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 10pt; margin-bottom: 0pt;"><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #b80672; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"># This file path (red text) indicates 'Guinea_Bissau.JPG' is in the</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 10pt; margin-bottom: 0pt;"><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #b80672; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"># same folder as the tutorial notebook. If you have moved or</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 10pt; margin-bottom: 0pt;"><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #b80672; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"># renamed the file, the file path must be edited to match.</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 10pt; margin-bottom: 0pt;"><span style="font-size: 9pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">im.shape</span></p>
<p class="pf0"><span class="cf0">______________________________________________</span></p>
<p class="pf0"><span class="cf0">______________________________________________</span></p>
<p class="pf0"><span class="cf0"><span id="docs-internal-guid-25b791c4-7fff-6413-043b-bfacc9f7b6d7"><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">(</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #c5221f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">590</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">,</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #c5221f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">602</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">,</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #1c1c1c; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"> </span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #c5221f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">3</span><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">)</span></span></span></p>
<p class="pf0"><span class="cf0">______________________________________________</span></p>
<p class="pf0"></p>
<p class="pf0"><span class="cf0"><code><span style="color: #ff0000;">Guinea_Bissau.JPG</span></code> is an image of Rio </span><span class="cf0">Baboque</span><span class="cf0"> in Guinea-Bissau in 2018. It has been generated from Landsat 8 satellite data.</span></p>
<p class="pf0"><span class="cf0">The results of the above cell show that the image is 590 pixels tall, 602 pixels wide, and has 3 channels. The three channels are red, green, and blue (in that order).</span></p>
<p class="pf0"><span class="cf0">Let’s display this image using the </span><span class="cf0">pyplot</span><span class="cf0"> </span><code><span class="cf0" style="color: #ff0000;">imshow</span></code><span class="cf0"> function.</span></p>
<p class="pf0"><span class="cf0">______________________________________________</span></p>
<p class="pf0"><span class="cf0"><span id="docs-internal-guid-1f0e15c2-7fff-9c49-b4a6-bdd8563a2450"><span style="font-size: 9pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">plt.imshow(im)</span></span></span></p>
<p class="pf0"><span class="cf0">______________________________________________</span></p>
<p class="pf0"></p>
<p class="pf0"><span class="cf0">______________________________________________</span></p>
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<p class="pf0"><span class="cf0">______________________________________________</span></p>
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<p class="pf0" style="padding-left: 30px;"><span class="cf0">3.1 Let’s use the indexing functionality of </span><span class="cf0">numpy</span><span class="cf0"> to select a portion of this image. Select the top</span><span class="cf1">‑</span><span class="cf0">right corner of this image with shape <code><span style="color: #339966;">(200,200)</span></code>.</span></p>
<p class="pf0"><em><span class="cf0">Hint: Remember, there are three dimensions in this image. Colons separate spans, and commas separate dimensions.<br /></span></em>_____________________________________________________________<em><span class="cf0"></span></em></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #b80672; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"># We already defined im above, but if you have not,</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #b80672; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"># you can un-comment and run the next line</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 0pt; margin-bottom: 0pt;"><b style="font-weight: normal;" id="docs-internal-guid-3b1883b7-7fff-1cd5-d44e-333358053068"> </b></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #b80672; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"># im = np.copy(plt.imread('Guinea_Bissau.JPG'))</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 0pt; margin-bottom: 0pt;"><b style="font-weight: normal;"> </b></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #b80672; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"># Fill in the question marks with the correct indexes</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 0pt; margin-bottom: 0pt;"><b style="font-weight: normal;"> </b></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">topright</span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">=</span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">im[?,?,?]</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 0pt; margin-bottom: 0pt;"><b style="font-weight: normal;"> </b></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #b80672; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"># Plot your result using imshow</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 0pt; margin-bottom: 0pt;"></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">plt.imshow(topright)<br /><span style="color: rgb(60, 60, 60); font-family: "Open Sans", Verdana, Arial, Helvetica, sans-serif; font-size: 16px; white-space-collapse: collapse;">_____________________________________________________________</span></span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 0pt; margin-bottom: 0pt;"> </p>
<p class="pf0"><span class="cf0">If you have selected the correct corner, there should not be much water in it!</span></p>
<p class="pf0" style="padding-left: 30px;"><span class="cf0">3.2 Let’s have a look at one of the pixels in this image. We choose the top</span><span class="cf1">‑</span><span class="cf0">left corner with position <code><span style="color: #339966;">(0,0)</span></code> and show the values of its RGB channels.</span></p>
<p class="pf0"><span class="cf0">_____________________________________________________________</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #b80672; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"># Run this cell to see the colour channel values</span></p>
<p class="pf0"><span class="cf0"><span id="docs-internal-guid-dd24d815-7fff-277d-7cba-00ab5b93ffd6"><span style="font-size: 8pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">im[</span><span style="font-size: 8pt; font-family: 'Roboto Mono', monospace; color: #c5221f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">0</span><span style="font-size: 8pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">,</span><span style="font-size: 8pt; font-family: 'Roboto Mono', monospace; color: #c5221f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">0</span><span style="font-size: 8pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;">]<br /><span style="color: rgb(60, 60, 60); font-family: "Open Sans", Verdana, Arial, Helvetica, sans-serif; font-size: 16px; white-space-collapse: collapse;">_____________________________________________________________</span></span></span></span></p>
<p class="pf0"><span class="cf0"><span><span style="font-size: 8pt; font-family: 'Roboto Mono', monospace; color: #37474f; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline; white-space-collapse: preserve;"><span style="color: rgb(60, 60, 60); font-family: "Open Sans", Verdana, Arial, Helvetica, sans-serif; font-size: 16px; white-space-collapse: collapse;"></span></span></span></span></p>
<p class="pf0"><span class="cf0">The first value corresponds to the red component, the second to the green and the third to the blue. <code><span style="color: #339966;">uint8</span> </code>can contain values in the range <code><span style="color: #339966;">[0-255]</span></code>, so the pixel has a lot of red, some green, and not much blue. This pixel is an orange</span><span class="cf1">‑</span><span class="cf0">yellow sandy colour.</span></p>
<p class="pf0"><span class="cf0">Now let’s modify the image.</span></p>
<p class="pf0" style="padding-left: 30px;"><span class="cf0">3.3 What happens if we set all the values representing the blue channel to the maximum value?</span></p>
<p class="pf0"><span class="cf0">_____________________________________________________________</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #b80672; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"># Run this cell to set all blue channel values to 255</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #b80672; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"># We first make a copy to avoid modifying the original image</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">im2</span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">=</span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">np.copy(im)</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">im2[:,:,</span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">2</span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">]</span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">=</span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #1c1c1c; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #c5221f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">255</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 8pt; font-family: 'Roboto Mono',monospace; color: #37474f; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">plt.imshow(im2)</span></p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 0pt; margin-bottom: 0pt;">_____________________________________________________________</p>
<p dir="ltr" style="line-height: 1.7999999999999998; margin-top: 0pt; margin-bottom: 0pt;"></p>
<p class="pf0"><span class="cf0">The index notation <code><span style="color: #339966;">[:,:,2]</span></code> is selecting pixels at all heights and all widths, but only the 3rd colour channel.</span></p>
<p dir="ltr" style="line-height: 1.8; margin-top: 0pt; margin-bottom: 0pt; padding-left: 30px;">3.4 Can you modify the above code cell to set all red values to the maximum value of <code><span style="color: #339966;">255</span></code>? </p>
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<p class="pf0"><span class="cf0">We have successfully practised indexing </span><span class="cf0">numpy</span><span class="cf0"> arrays and plotting those arrays using matplotlib. We can now also read a file into Python using </span><code><span class="cf0" style="color: #339966;">pyplot.imread</span></code><span class="cf0">. The next lesson covers data cleaning and masking.</span></p>
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