﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio" version="0.95"?>
<regions>
  <settings>
    <calculation>
      <precision>15</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="false" printAreas="true" simpleEqualsOnly="false">
      <paper id="9" orientation="Portrait" width="827" height="1169" />
      <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>
    </pageModel>
    <dependences>
      <assembly name="SMath Studio" version="0.95" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="Text Region" version="1.8.4594.45" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
      <assembly name="Math Region" version="0.95" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="Special Functions" version="1.9.4594.42" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="Area Region" version="0.95" guid="4974b228-4974-44cf-8274-bf2936b4a766" />
    </dependences>
  </settings>
  <region id="0" left="9" top="9" width="94" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p bold="true">PRIMER 4.3</p>
    </text>
  </region>
  <region id="1" left="9" top="36" width="52" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">F.1</e>
        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="2" left="9" top="63" width="129" height="41" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">F.2</e>
        <e type="operand">1.2</e>
        <e type="operand">0.5</e>
        <e type="operator" args="2">*</e>
        <e type="operand">0.21</e>
        <e type="operator" args="2">/</e>
        <e type="operand">F.1</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="3" left="162" top="81" width="95" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">F.2</e>
      </input>
      <result action="numeric">
        <e type="operand">2.857</e>
      </result>
    </math>
  </region>
  <region id="4" left="9" top="117" width="60" height="116" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">n1</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">6</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="8">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="5" left="81" top="117" width="79" height="116" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand" style="string">CH3OH</e>
        <e type="operand" style="string">O2</e>
        <e type="operand" style="string">HCHO</e>
        <e type="operand" style="string">H2O</e>
        <e type="operand" style="string">HCOOH</e>
        <e type="operand" style="string">N2</e>
        <e type="operand">6</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="8">mat</e>
      </input>
    </math>
  </region>
  <region id="6" left="180" top="117" width="109" height="132" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">n2</e>
        <e type="operand">0</e>
        <e type="operand">0.21</e>
        <e type="operand">F.2</e>
        <e type="operator" args="2">*</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0.79</e>
        <e type="operand">F.2</e>
        <e type="operator" args="2">*</e>
        <e type="operand">6</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="8">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="7" left="297" top="126" width="103" height="116" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">n2</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
        <e type="operand">0.6</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">2.257</e>
        <e type="operand">6</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="8">mat</e>
      </result>
    </math>
  </region>
  <region id="8" left="9" top="243" width="120" height="116" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">S</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0.5</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.5</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">6</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="14">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="9" left="0" top="360" width="69" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">ε</e>
        <e type="operand">0.5</e>
        <e type="operand">0.5</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>
      </input>
    </math>
  </region>
  <region id="10" left="81" top="369" width="124" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">n3</e>
        <e type="operand">n1</e>
        <e type="operand">n2</e>
        <e type="operator" args="2">+</e>
        <e type="operand">S</e>
        <e type="operand">ε</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="11" left="234" top="369" width="119" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p bold="true">Initial guess</p>
    </text>
  </region>
  <region id="12" left="0" top="423" width="224" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p bold="true">System of equations f(X)≡0</p>
    </text>
  </region>
  <region id="13" left="0" top="459" width="528" height="293" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">X</e>
        <e type="function" args="1">f</e>
        <e type="operand">ε</e>
        <e type="operand">X</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X</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="operand">n3</e>
        <e type="operand">X</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X</e>
        <e type="operand">6</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X</e>
        <e type="operand">7</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X</e>
        <e type="operand">8</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">6</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="8">mat</e>
        <e type="operator" args="2">:</e>
        <e type="operand">res</e>
        <e type="operand">n1</e>
        <e type="operand">n2</e>
        <e type="operator" args="2">+</e>
        <e type="operand">S</e>
        <e type="operand">ε</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">n3</e>
        <e type="operator" args="2">-</e>
        <e type="operand">n1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">n3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">-</e>
        <e type="operand">n1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">/</e>
        <e type="operand">0.32</e>
        <e type="operator" args="2">-</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">mat</e>
        <e type="operand">n3</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">9</e>
        <e type="operand">n3</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">mat</e>
        <e type="function" preserve="true" args="3">stack</e>
        <e type="operator" args="2">:</e>
        <e type="operand">res</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="14" left="594" top="459" width="270" height="275" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">X</e>
        <e type="function" args="1">f</e>
      </input>
      <result action="symbolic">
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">X</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">+</e>
        <e type="operand">X</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="operator" args="1">-</e>
        <e type="operand">5</e>
        <e type="operand">X</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">5</e>
        <e type="operand">X</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">10</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="1">-</e>
        <e type="operand">X</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="1">-</e>
        <e type="operand">X</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">+</e>
        <e type="operand">X</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="1">-</e>
        <e type="operand">X</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X</e>
        <e type="operand">6</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">-</e>
        <e type="operand">X</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X</e>
        <e type="operand">7</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">-</e>
        <e type="operand">79</e>
        <e type="operand">35</e>
        <e type="operand">X</e>
        <e type="operand">8</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operand">35</e>
        <e type="operator" args="2">/</e>
        <e type="operand">8</e>
        <e type="operator" args="1">-</e>
        <e type="operand">25</e>
        <e type="operand">1</e>
        <e type="operand">X</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">25</e>
        <e type="operator" args="2">/</e>
        <e type="operand">9</e>
        <e type="operand">X</e>
        <e type="operand">7</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">X</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">+</e>
        <e type="operand">8</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="10">mat</e>
      </result>
    </math>
  </region>
  <region id="15" left="891" top="612" width="134" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="function" preserve="true" args="1">length</e>
      </input>
      <result action="numeric">
        <e type="operand">8</e>
      </result>
    </math>
  </region>
  <region id="16" left="9" top="765" width="119" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p bold="true">Initial guess</p>
    </text>
  </region>
  <region id="17" left="9" top="801" width="136" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">X0</e>
        <e type="operand">ε</e>
        <e type="operand">n3</e>
        <e type="function" preserve="true" args="2">stack</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="18" left="153" top="801" width="194" height="152" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">X0</e>
      </input>
      <result action="numeric">
        <e type="operand">0.5</e>
        <e type="operand">0.5</e>
        <e type="operand">0.5</e>
        <e type="operand">0.1</e>
        <e type="operand">0</e>
        <e type="operand">0.5</e>
        <e type="operand">0.5</e>
        <e type="operand">2.25714285714286</e>
        <e type="operand">8</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="10">mat</e>
      </result>
    </math>
  </region>
  <region id="19" left="351" top="801" width="116" height="152" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">X0</e>
        <e type="function" args="1">f</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0.18</e>
        <e type="operand">4.5</e>
        <e type="operator" args="1">-</e>
        <e type="operand">8</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="10">mat</e>
      </result>
    </math>
  </region>
  <region id="20" left="477" top="864" width="122" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">X0</e>
        <e type="function" preserve="true" args="1">length</e>
      </input>
      <result action="numeric">
        <e type="operand">8</e>
      </result>
    </math>
  </region>
  <region id="21" left="9" top="963" width="397" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p bold="true">Linear system - Jacobian elements are constants</p>
    </text>
  </region>
  <region id="22" left="819" top="963" width="61" height="24" color="#ff0000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">RESULT</e>
      </input>
    </math>
  </region>
  <region id="23" left="9" top="999" width="91" height="216" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">XX#</e>
        <e type="operand">X#</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X#</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X#</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X#</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X#</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X#</e>
        <e type="operand">6</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X#</e>
        <e type="operand">7</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X#</e>
        <e type="operand">8</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">8</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="10">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="24" left="126" top="999" width="385" height="169" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">XX#</e>
        <e type="function" args="1">f</e>
        <e type="operand">XX#</e>
        <e type="function" preserve="true" args="2">Jacob</e>
      </input>
      <result action="symbolic">
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">9</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">8</e>
        <e type="operand">8</e>
        <e type="function" preserve="true" args="66">mat</e>
      </result>
    </math>
  </region>
  <region id="25" left="522" top="999" width="267" height="37" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">X</e>
        <e type="operand">X0</e>
        <e type="operand">XX#</e>
        <e type="function" args="1">f</e>
        <e type="operand">XX#</e>
        <e type="function" preserve="true" args="2">Jacob</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operand">X0</e>
        <e type="function" args="1">f</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="26" left="792" top="999" width="186" height="152" color="#ff0000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">X</e>
      </input>
      <result action="numeric">
        <e type="operand">0.32</e>
        <e type="operand">0.032</e>
        <e type="operand">0.68</e>
        <e type="operand">0.424</e>
        <e type="operand">0.288</e>
        <e type="operand">0.32</e>
        <e type="operand">0.032</e>
        <e type="operand">2.25714285714286</e>
        <e type="operand">8</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="10">mat</e>
      </result>
    </math>
  </region>
  <region id="27" left="981" top="999" width="82" height="152" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">X</e>
        <e type="function" args="1">f</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">8</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="10">mat</e>
      </result>
    </math>
  </region>
  <region id="28" left="18" top="1224" width="66" height="60" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">ε</e>
        <e type="operand">X</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X</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>
      </input>
    </math>
  </region>
  <region id="29" left="117" top="1224" width="74" height="164" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">n3</e>
        <e type="operand">X</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X</e>
        <e type="operand">6</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X</e>
        <e type="operand">7</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X</e>
        <e type="operand">8</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">6</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="8">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="30" left="9" top="1386" width="74" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p bold="true">RESULTS </p>
    </text>
  </region>
  <region id="31" left="27" top="1422" width="95" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">ε</e>
      </input>
      <result action="numeric">
        <e type="operand">0.32</e>
        <e type="operand">0.032</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="32" left="36" top="1485" width="103" height="116" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">n3</e>
      </input>
      <result action="numeric">
        <e type="operand">0.68</e>
        <e type="operand">0.424</e>
        <e type="operand">0.288</e>
        <e type="operand">0.32</e>
        <e type="operand">0.032</e>
        <e type="operand">2.257</e>
        <e type="operand">6</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="8">mat</e>
      </result>
    </math>
  </region>
  <region id="33" left="144" top="1485" width="75" height="51" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">n3</e>
        <e type="operand">n3</e>
        <e type="function" preserve="true" args="1">sum</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="34" left="315" top="1485" width="95" height="116" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">x</e>
      </input>
      <result action="numeric">
        <e type="operand">0.17</e>
        <e type="operand">0.106</e>
        <e type="operand">0.072</e>
        <e type="operand">0.08</e>
        <e type="operand">0.008</e>
        <e type="operand">0.564</e>
        <e type="operand">6</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="8">mat</e>
      </result>
    </math>
  </region>
  <region id="35" top="1629" color="#000000" bgColor="#ffffff">
    <area single="true" collapsed="true" />
  </region>
  <region id="36" left="18" top="1656" width="332" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p bold="true">Trying roots() and solvers - No result!</p>
    </text>
  </region>
  <region id="37" left="27" top="1719" width="216" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="16">
      <input>
        <e type="operand">XX#</e>
        <e type="function" args="1">f</e>
        <e type="operand">XX#</e>
        <e type="operand">X0</e>
        <e type="function" preserve="true" args="3">roots</e>
      </input>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="38" left="450" top="1728" width="61" height="24" color="#ff0000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">RESULT</e>
      </input>
    </math>
  </region>
  <region id="39" left="432" top="1755" width="186" height="152" color="#ff0000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">X</e>
      </input>
      <result action="numeric">
        <e type="operand">0.32</e>
        <e type="operand">0.032</e>
        <e type="operand">0.68</e>
        <e type="operand">0.424</e>
        <e type="operand">0.288</e>
        <e type="operand">0.32</e>
        <e type="operand">0.032</e>
        <e type="operand">2.25714285714286</e>
        <e type="operand">8</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="10">mat</e>
      </result>
    </math>
  </region>
  <region id="40" left="621" top="1755" width="82" height="152" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">X</e>
        <e type="function" args="1">f</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">8</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="10">mat</e>
      </result>
    </math>
  </region>
  <region id="41" left="27" top="1764" width="208" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="16">
      <input>
        <e type="operand">XX#</e>
        <e type="function" args="1">f</e>
        <e type="operand">XX#</e>
        <e type="operand">X</e>
        <e type="function" preserve="true" args="3">roots</e>
      </input>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="42" left="27" top="1809" width="286" height="36" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="61">
      <input>
        <e type="operand">XX#</e>
        <e type="function" args="1">f</e>
        <e type="operand">X0</e>
        <e type="operand">10</e>
        <e type="operand">5</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operand">100</e>
        <e type="function" preserve="true" args="4">Broyden</e>
      </input>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="43" left="27" top="1854" width="335" height="36" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="61">
      <input>
        <e type="operand">XX#</e>
        <e type="function" args="1">f</e>
        <e type="operand">X0</e>
        <e type="operand">10</e>
        <e type="operand">5</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operand">100</e>
        <e type="function" preserve="true" args="4">NewtonRaphson</e>
      </input>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="44" left="27" top="1917" width="167" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="61">
      <input>
        <e type="operand">XX#</e>
        <e type="function" args="1">f</e>
        <e type="operand">X0</e>
        <e type="function" preserve="true" args="2">HRE.B</e>
      </input>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="45" left="27" top="1962" width="159" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="61">
      <input>
        <e type="operand">XX#</e>
        <e type="function" args="1">f</e>
        <e type="operand">X0</e>
        <e type="function" preserve="true" args="2">HRE</e>
      </input>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
</regions>