﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.98.6179.21440"?>
<regions>
  <settings>
    <identity>
      <id>a1b23ff9-3f36-42fa-9bad-ffec98bb2143</id>
      <revision>2</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="Text Region" version="1.10.6179.21446" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
      <assembly name="Nonlinear Solvers" version="1.1.6099.14159" guid="618b7e96-330a-406a-b055-9e577672f0b8" />
    </dependencies>
    <mode debug="true" />
  </settings>
  <region id="0" left="27" top="27" width="220" height="83" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">system</e>
        <e type="operand">2</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="operand">y</e>
        <e type="operator" args="2">+</e>
        <e type="operand">5</e>
        <e type="operator" args="2">-</e>
        <e type="operand">2</e>
        <e type="operand">z</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">y</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operand">4</e>
        <e type="operand">z</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">4</e>
        <e type="operator" args="2">-</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operator" args="2">*</e>
        <e type="operand">z</e>
        <e type="operator" args="2">+</e>
        <e type="operand">z</e>
        <e type="function" preserve="true" args="1">exp</e>
        <e type="operator" args="2">-</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="1" left="270" top="36" width="136" height="72" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">init</e>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">y</e>
        <e type="operand">1</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">z</e>
        <e type="operand">10</e>
        <e type="operand">15</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="2" left="27" top="126" width="296" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operand">z</e>
        <e type="function" args="3">sol</e>
        <e type="operand">system</e>
        <e type="operand">init</e>
        <e type="function" preserve="true" args="2">FindRoot</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="3" left="27" top="162" width="280" height="63" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="15">
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operand">z</e>
        <e type="function" args="3">sol</e>
      </input>
      <result action="numeric">
        <e type="operand">1.42246934836442</e>
        <e type="operand">0.975388520012278</e>
        <e type="operand">0.768008106584774</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
      </result>
    </math>
  </region>
  <region id="4" left="27" top="243" width="195" height="63" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operand">z</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
        <e type="operand">1.42246934836442</e>
        <e type="operand">0.975388520012278</e>
        <e type="operand">0.768008106584774</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="5" left="27" top="306" width="253" height="83" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="7" exponentialThreshold="15">
      <input>
        <e type="operand">2</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="operand">y</e>
        <e type="operator" args="2">+</e>
        <e type="operand">5</e>
        <e type="operator" args="2">-</e>
        <e type="operand">2</e>
        <e type="operand">z</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">y</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operand">4</e>
        <e type="operand">z</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">4</e>
        <e type="operator" args="2">-</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operator" args="2">*</e>
        <e type="operand">z</e>
        <e type="operator" args="2">+</e>
        <e type="operand">z</e>
        <e type="function" preserve="true" args="1">exp</e>
        <e type="operator" args="2">-</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
      </input>
      <result action="numeric">
        <e type="operand">0.0000001</e>
        <e type="operand">0.0000003</e>
        <e type="operand">0.0000001</e>
        <e type="operator" args="1">-</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
      </result>
    </math>
  </region>
  <region id="6" left="27" top="405" width="475" height="31" color="#000000" bgColor="#80ffff" fontSize="14">
    <text lang="eng">
      <p bold="true">Mathcad example sanity 0.000000000000000</p>
    </text>
  </region>
  <region id="7" left="27" top="441" width="195" height="63" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operand">z</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
        <e type="operand">1.42246939034512</e>
        <e type="operand">0.975388528087757</e>
        <e type="operand">0.768008037465102</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="8" left="27" top="504" width="239" height="83" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="0" exponentialThreshold="15">
      <input>
        <e type="operand">2</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="operand">y</e>
        <e type="operator" args="2">+</e>
        <e type="operand">5</e>
        <e type="operator" args="2">-</e>
        <e type="operand">2</e>
        <e type="operand">z</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">y</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operand">4</e>
        <e type="operand">z</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">4</e>
        <e type="operator" args="2">-</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operator" args="2">*</e>
        <e type="operand">z</e>
        <e type="operator" args="2">+</e>
        <e type="operand">z</e>
        <e type="function" preserve="true" args="1">exp</e>
        <e type="operator" args="2">-</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
      </input>
      <result action="numeric">
        <e type="operand">7</e>
        <e type="operand">10</e>
        <e type="operand">15</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand">10</e>
        <e type="operand">15</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
      </result>
    </math>
  </region>
</regions>