﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.98.6179.21440"?>
<regions>
  <settings>
    <identity>
      <id>42acdf62-5d18-4b7a-8dd7-2302c6b3c4ab</id>
      <revision>6</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="Custom Functions" version="1.1.6281.4594" guid="18dadffd-79a3-4cf9-aee1-d66deb0ea720" />
      <assembly name="Special Functions" version="1.11.6179.21442" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="Text Region" version="1.10.6179.21446" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
      <assembly name="Plot Region" version="1.9.6179.21450" guid="c451c2b5-798b-4f08-b9ec-b90963d1ddaa" />
    </dependencies>
    <mode debug="true" />
  </settings>
  <region id="0" left="9" top="18" width="291" height="31" color="#000000" bgColor="#80ffff" fontSize="14">
    <text lang="eng">
      <p bold="true">Algebraic implicit solve</p>
    </text>
  </region>
  <region id="1" left="9" top="54" width="222" height="67" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="6">
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operand">z</e>
        <e type="function" args="3">f</e>
        <e type="operand">5</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="operand">6</e>
        <e type="operand">y</e>
        <e type="operand">z</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">8</e>
        <e type="operator" args="2">-</e>
        <e type="operand">3</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">z</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">6</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">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="9" top="126" width="318" height="65" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="6">
      <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">x</e>
        <e type="operand">y</e>
        <e type="operand">z</e>
        <e type="function" args="3">f</e>
        <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="function" preserve="true" args="2">roots</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="numeric">
        <e type="operand">1.818182</e>
        <e type="operand">2.363636</e>
        <e type="operand">2.181818</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="3" left="342" top="126" width="272" height="63" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="15" exponentialThreshold="15">
      <description active="true" position="Right" lang="eng">
        <p>sanity</p>
      </description>
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operand">z</e>
        <e type="function" args="3">f</e>
      </input>
      <result action="numeric">
        <e type="operand">0.000000000000028</e>
        <e type="operand">0.000000000000031</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.00000000000002</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="4" left="9" top="189" width="123" 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>
      </input>
      <result action="numeric">
        <e type="operand">1.8182</e>
        <e type="operand">2.3636</e>
        <e type="operand">2.1818</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="5" left="144" top="189" width="149" height="65" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="eng">
        <p>They are resident  in Smath documentthen can't be used in 'roots' solve blocthat nedds a free-running 'x'</p>
      </description>
      <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="function" preserve="true" args="1">IsDefined</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
      </result>
    </math>
  </region>
  <region id="6" left="9" top="261" width="115" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">2</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="7" left="135" top="261" width="103" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">g</e>
        <e type="operand">0.75</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="8" left="9" top="297" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="2.14358881" scale_y="2.54212698514401" scale_z="5.44927495895374" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="0" transpose_y="0" transpose_z="0">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">x</e>
        <e type="function" args="1">g</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
      </input>
    </plot>
  </region>
  <region id="9" left="261" top="297" width="259" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="67" decimalPlaces="15">
      <input>
        <e type="operand">X</e>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">x</e>
        <e type="function" args="1">g</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">1</e>
        <e type="function" preserve="true" args="3">roots</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="10" left="261" top="324" width="139" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="eng">
        <p>Not defined in the sense of executable</p>
      </description>
      <input>
        <e type="operand">X</e>
        <e type="function" preserve="true" args="1">IsDefined</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
      </result>
    </math>
  </region>
  <region id="11" left="261" top="360" width="487" height="40" color="#000000" bgColor="#ffe1e1" fontSize="10">
    <text lang="eng">
      <p>The 'roots' solver iterates itself around the target valuethus, 'x' must be free-running ... here it is NOT [1.8182]</p>
    </text>
  </region>
  <region id="12" left="261" top="405" width="383" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="15">
      <input>
        <e type="operand">X</e>
        <e type="operand">u</e>
        <e type="function" args="1">f</e>
        <e type="operand">u</e>
        <e type="function" args="1">g</e>
        <e type="operator" args="2">-</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">u</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">roots</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="numeric">
        <e type="operand">1.09137289803883</e>
      </result>
    </math>
  </region>
  <region id="13" left="261" top="450" width="435" height="63" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math decimalPlaces="15">
      <description active="true" position="Top" lang="eng">
        <p>A different "scalar wrt 'x'" plug-in that works by itself</p>
      </description>
      <input>
        <e type="operand">X</e>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">x</e>
        <e type="function" args="1">g</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">2</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">solve</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="numeric">
        <e type="operand">1.09137374321273</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">1.0913722737593</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="14" left="108" top="504" width="85" height="63" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">m</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="operand">4</e>
        <e type="operand">5</e>
        <e type="operand">6</e>
        <e type="operand">7</e>
        <e type="operand">8</e>
        <e type="operand">9</e>
        <e type="operand">3</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="11">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="15" left="9" top="522" width="74" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">ω</e>
        <e type="operand">1</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="16" left="261" top="549" width="106" height="26" color="#000000" bgColor="#ffe1e1" fontSize="10">
    <math decimalPlaces="15">
      <input>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">Clear</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
      </result>
    </math>
  </region>
  <region id="17" left="9" top="576" width="130" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">ω</e>
        <e type="operand">m</e>
        <e type="function" preserve="true" args="2">Clear</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
      </result>
    </math>
  </region>
  <region id="18" left="261" top="576" width="383" height="28" color="#000000" bgColor="#ffe1e1" fontSize="10">
    <math decimalPlaces="15">
      <input>
        <e type="operand">X</e>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">x</e>
        <e type="function" args="1">g</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">1</e>
        <e type="function" preserve="true" args="3">roots</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="numeric">
        <e type="operand">1.09137289803883</e>
      </result>
    </math>
  </region>
  <region id="19" left="9" top="612" width="53" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="2">
      <input>
        <e type="operand">m</e>
      </input>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="20" left="90" top="612" width="53" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="2">
      <input>
        <e type="operand">ω</e>
      </input>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="21" left="261" top="612" width="139" height="26" color="#000000" bgColor="#ffe1e1" fontSize="10">
    <math>
      <input>
        <e type="operand">X</e>
        <e type="function" preserve="true" args="1">IsDefined</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
      </result>
    </math>
  </region>
</regions>