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<?application progid="SMath Studio Desktop" version="0.96.4909.6802"?>
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  <settings>
    <identity>
      <id>be8ed228-7b9f-4d88-9521-f6039e697cd5</id>
      <revision>18</revision>
    </identity>
    <calculation>
      <precision>4</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="true" printAreas="true" simpleEqualsOnly="false" printBackgroundImages="true">
      <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>
      <backgrounds />
    </pageModel>
    <dependences>
      <assembly name="SMath Studio Desktop" version="0.96.4909.6802" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="Math Region" version="0.96.4909.6802" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="Text Region" version="1.9.4909.6785" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
      <assembly name="Nonlinear Solvers" version="1.0.9999.5" guid="618b7e96-330a-406a-b055-9e577672f0b8" />
      <assembly name="Custom Functions" version="1.0.4902.41872" guid="18dadffd-79a3-4cf9-aee1-d66deb0ea720" />
    </dependences>
  </settings>
  <region id="0" left="18" top="18" width="106" height="26" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">eq</e>
        <e type="function" preserve="true" args="1">Unknowns</e>
      </input>
    </math>
  </region>
  <region id="1" left="18" top="54" width="202" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Part of plugin</p>
    </text>
    <text lang="ger">
      <p>Bestandteil des Plugins</p>
    </text>
  </region>
  <region id="2" left="234" top="54" width="152" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Plugin Nonlinear Solvers.sm">Nonlinear Solvers</p>
    </text>
  </region>
  <region id="3" left="0" top="81" width="9" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p />
    </text>
  </region>
  <region id="4" left="18" top="81" width="610" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Shows the unknowns (unassigned variable names) in the expression or 
vector of expressions eq.</p>
    </text>
    <text lang="ger">
      <p>Zeigt die Unbekannten (nicht definierte Variable) im Ausdruck oder Vektor
von Ausdrücken eq</p>
    </text>
  </region>
  <region id="5" left="18" top="126" width="77" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">A</e>
        <e type="operand">10</e>
        <e type="operand" style="unit">m</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="6" left="108" top="126" width="69" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">V</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="7" left="261" top="135" width="258" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Initially, A and V are given.</p>
    </text>
    <text lang="ger">
      <p>Zunächst sind A und V gegeben.</p>
    </text>
  </region>
  <region id="8" left="18" top="162" width="214" height="46" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">eq</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">A</e>
        <e type="operand">2</e>
        <e type="operand">π</e>
        <e type="operand">4</e>
        <e type="operator" args="2">/</e>
        <e type="operand">d</e>
        <e type="operand">2</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">2</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
        <e type="operand">d</e>
        <e type="operator" args="2">*</e>
        <e type="operand">h</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="9" left="261" top="171" width="448" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Now we define the system of equations.</p>
    </text>
    <text lang="ger">
      <p>Das Gleichungssystem wird definiert (mit Optimierung&gt;
Numerisch)</p>
    </text>
  </region>
  <region id="10" left="18" top="207" width="140" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">eq</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">V</e>
        <e type="operand">π</e>
        <e type="operand">4</e>
        <e type="operator" args="2">/</e>
        <e type="operand">d</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">h</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="11" left="18" top="252" width="148" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">eq</e>
        <e type="function" preserve="true" args="1">Unknowns</e>
      </input>
      <result action="symbolic">
        <e type="operand">d</e>
        <e type="operand">h</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="12" left="261" top="261" width="439" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>The unknowns are d and h.</p>
    </text>
    <text lang="ger">
      <p>Die Unbekannten (undefinierte Variable) sind d und h</p>
    </text>
  </region>
  <region id="13" left="18" top="306" width="106" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">A</e>
        <e type="function" preserve="true" args="1">Clear</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
      </result>
    </math>
  </region>
  <region id="14" left="144" top="306" width="57" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">h</e>
        <e type="operand">2</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="15" left="261" top="306" width="316" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>A is cleared and h is given. </p>
    </text>
    <text lang="ger">
      <p>Nun wird A gelöscht und h vorgegeben.</p>
    </text>
  </region>
  <region id="16" left="18" top="342" width="148" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">eq</e>
        <e type="function" preserve="true" args="1">Unknowns</e>
      </input>
      <result action="symbolic">
        <e type="operand">A</e>
        <e type="operand">d</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="17" left="261" top="351" width="275" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Now the unknowns are A and d</p>
    </text>
    <text lang="ger">
      <p>Die Unbekannten sind nun A und d</p>
    </text>
  </region>
  <region id="18" left="18" top="396" width="152" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Plugin Nonlinear Solvers.sm">Nonlinear Solvers</p>
    </text>
  </region>
  <region id="19" left="18" top="423" width="127" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p href="Function index.sm">Function index</p>
    </text>
    <text lang="ger">
      <p href="Function index.sm">Funktionsindex</p>
    </text>
  </region>
  <region id="20" left="18" top="441" width="61" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p href="Handbook.sm">Contents</p>
    </text>
    <text lang="ger">
      <p href="Handbook.sm">Inhalt</p>
    </text>
  </region>
  <region id="21" left="18" top="486" width="450" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p italic="true">$Author: mkraska $
$Date: 2013-08-13 11:18:41 +0200 (Di, 13. Aug 2013) $ </p>
    </text>
  </region>
</regions>