﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.98.6179.21440"?>
<regions>
  <settings>
    <identity>
      <id>e3315dca-73f4-4a52-b70e-fa9051f1f684</id>
      <revision>11</revision>
    </identity>
    <calculation>
      <precision>4</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="true" printAreas="true" simpleEqualsOnly="false" printBackgroundImages="true">
      <paper id="1" orientation="Portrait" width="850" height="1100" />
      <margins left="39" right="39" top="39" bottom="39" />
      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
      <footer alignment="Center" color="#a9a9a9">&amp;[PAGENUM] / &amp;[COUNT]</footer>
      <backgrounds />
    </pageModel>
    <dependencies>
      <assembly name="SMath Studio Desktop" version="0.98.6179.21440" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="Math Region" version="0.98.6179.21440" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="Special Functions" version="1.11.6179.21442" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="DotNumerics" version="1.1.6092.16639" guid="2a69099d-3185-4ea7-a130-65f2bf94c8d6" />
      <assembly name="Plot Region" version="1.9.6179.21450" guid="c451c2b5-798b-4f08-b9ec-b90963d1ddaa" />
    </dependencies>
    <mode debug="true" />
  </settings>
  <region id="0" left="126" top="18" width="126" height="61" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="6">
      <input>
        <e type="operand">t</e>
        <e type="operand">Y</e>
        <e type="function" args="2">D</e>
        <e type="operand">A</e>
        <e type="operand">Y</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">Y</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="1" left="9" top="27" width="78" height="45" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="6">
      <input>
        <e type="operand">A</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">3</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="6">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="2" left="270" top="27" width="282" height="45" color="#000000" bgColor="#ffffff" fontSize="10">
    <math fractionType="auto" decimalPlaces="3">
      <input>
        <e type="operand">A</e>
        <e type="function" preserve="true" args="1">dn_LinAlgEigenvalues</e>
      </input>
      <result action="numeric">
        <e type="operand">2.193</e>
        <e type="operand">3.193</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="3" left="558" top="27" width="79" height="45" color="#000000" bgColor="#ffff80" fontSize="10">
    <math decimalPlaces="6">
      <input>
        <e type="operand">N</e>
        <e type="operand">100</e>
        <e type="operator" args="2">:</e>
        <e type="operand">span</e>
        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">line</e>
      </input>
    </math>
  </region>
  <region id="4" left="9" top="81" width="372" height="152" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="6">
      <input>
        <e type="operand">saddle_1</e>
        <e type="operand">U0</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="5">mat</e>
        <e type="operator" args="2">:</e>
        <e type="operand">p</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand">0.75</e>
        <e type="operator" args="1">-</e>
        <e type="function" preserve="true" args="3">range</e>
        <e type="operand">W</e>
        <e type="operand">p</e>
        <e type="operand">span</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
        <e type="operator" args="2">:</e>
        <e type="operand">U</e>
        <e type="operand">W</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="operand">N</e>
        <e type="operand">t</e>
        <e type="operand">Y</e>
        <e type="function" args="2">D</e>
        <e type="function" preserve="true" args="5">rkfixed</e>
        <e type="operator" args="2">:</e>
        <e type="operand">U0</e>
        <e type="operand">U0</e>
        <e type="operand">U</e>
        <e type="function" preserve="true" args="2">stack</e>
        <e type="operator" args="2">:</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">line</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">U0</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="operand">U0</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="function" preserve="true" args="2">augment</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="5" left="387" top="81" width="372" height="152" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="6">
      <input>
        <e type="operand">saddle_2</e>
        <e type="operand">U0</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="5">mat</e>
        <e type="operator" args="2">:</e>
        <e type="operand">p</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand">0.75</e>
        <e type="operator" args="1">-</e>
        <e type="function" preserve="true" args="3">range</e>
        <e type="operand">W</e>
        <e type="operand">p</e>
        <e type="operand">span</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
        <e type="operator" args="2">:</e>
        <e type="operand">U</e>
        <e type="operand">W</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="operand">N</e>
        <e type="operand">t</e>
        <e type="operand">Y</e>
        <e type="function" args="2">D</e>
        <e type="function" preserve="true" args="5">rkfixed</e>
        <e type="operator" args="2">:</e>
        <e type="operand">U0</e>
        <e type="operand">U0</e>
        <e type="operand">U</e>
        <e type="function" preserve="true" args="2">stack</e>
        <e type="operator" args="2">:</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">line</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">U0</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="operand">U0</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="function" preserve="true" args="2">augment</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="6" left="90" top="234" width="252" height="28" color="#000000" bgColor="#e1ff80" fontSize="10">
    <math decimalPlaces="6">
      <input>
        <e type="operand">U0</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="operand">U0</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="function" preserve="true" args="2">augment</e>
      </input>
    </math>
  </region>
  <region id="7" left="468" top="234" width="252" height="28" color="#000000" bgColor="#e1ff80" fontSize="10">
    <math decimalPlaces="6">
      <input>
        <e type="operand">U0</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="operand">U0</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="function" preserve="true" args="2">augment</e>
      </input>
    </math>
  </region>
  <region id="8" left="270" top="261" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="points" scale_x="4.59188600334437" scale_y="8.33478480883696" scale_z="38.2723817045857" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-1" transpose_y="1" transpose_z="0">
      <input>
        <e type="operand">saddle_1</e>
        <e type="operand">saddle_2</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
      </input>
    </plot>
  </region>
</regions>