﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.98.6179.21440"?>
<regions>
  <settings>
    <identity>
      <id>be8ed228-7b9f-4d88-9521-f6039e697cd5</id>
      <revision>94</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>
    <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="1.1.6100.11764" guid="18dadffd-79a3-4cf9-aee1-d66deb0ea720" />
      <assembly name="Special Functions" version="1.11.6179.21442" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="MaximaPlugin" version="1.98.6099.2163" guid="44011c1e-5d0d-4533-8e68-e32b5badce41" />
      <assembly name="Text Region" version="1.10.6179.21446" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
      <assembly name="Writer Region" version="0.8.6150.16713" guid="5922d677-323f-4327-8c68-be902d8339ad" />
    </dependencies>
  </settings>
  <region id="0" left="18" top="18" width="131" height="26" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">eqn</e>
        <e type="operand">var</e>
        <e type="function" preserve="true" args="2">Solve</e>
      </input>
    </math>
  </region>
  <region id="1" left="18" top="54" width="202" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Bestandteil des Plugins</p>
    </text>
    <text lang="eng">
      <p>Part of plugin</p>
    </text>
  </region>
  <region id="2" left="243" top="54" width="61" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Plugin Maxima.sm">Maxima</p>
    </text>
  </region>
  <region id="3" left="18" top="90" width="709" height="56" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Löst das als eqn gegebene  Gleichungssystem nach den Variablen var auf. Liefert eine Zeilenmatrix von Listen. Jede Liste enthält die Variablenwerte einer Lösung. Die Werte können mit Assign() zugewiesen werden. Die Funktion ruft solve() in Maxima auf.</p>
    </text>
    <text lang="eng">
      <p>Solves the general system of equations given as eqn for variables given as var and returns the (possibly several) solutions as a row matrix of lists. Each list represents the variable values of a single solution. The solutions can be assigned to the variables using Assign()). The function calls Maxima's solve().</p>
    </text>
  </region>
  <region id="4" left="36" top="162" width="37" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">eqn</e>
      </input>
    </math>
  </region>
  <region id="5" left="108" top="162" width="530" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Gleichungssystem, gegeben als Vektor oder Liste von Gleichungen</p>
    </text>
    <text lang="eng">
      <p>vector or list of equations</p>
    </text>
  </region>
  <region id="6" left="36" top="198" width="37" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">var</e>
      </input>
    </math>
  </region>
  <region id="7" left="108" top="198" width="605" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Vektor oder Liste von Variablen, nach denen aufgelöst wird. Diese müssen undefiniert sein.</p>
    </text>
    <text lang="eng">
      <p>vector or list of variables to solve for. These must be undefined.</p>
    </text>
  </region>
  <region id="8" left="18" top="252" width="242" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p underline="true">Eine Unbekannte, eine Lösung</p>
    </text>
    <text lang="eng">
      <p underline="true">One unknown, one solution</p>
    </text>
  </region>
  <region id="9" left="36" top="279" width="233" height="41" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">a</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="operand">b</e>
        <e type="operator" args="2">+</e>
        <e type="operand">y</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">a</e>
        <e type="function" preserve="true" args="2">Solve</e>
      </input>
      <result action="symbolic">
        <e type="operand">a</e>
        <e type="operand">y</e>
        <e type="operand">b</e>
        <e type="operator" args="2">-</e>
        <e type="operand">x</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">≡</e>
      </result>
    </math>
  </region>
  <region id="10" left="18" top="324" width="242" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p underline="true">Zwei Unbekannte, eine Lösung</p>
    </text>
    <text lang="eng">
      <p underline="true">Two unknowns, one solution</p>
    </text>
  </region>
  <region id="11" left="99" top="360" width="148" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Argumentvektoren </p>
    </text>
    <text lang="eng">
      <p>Vectors as arguments</p>
    </text>
  </region>
  <region id="12" left="369" top="360" width="131" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Argumentlisten </p>
    </text>
    <text lang="eng">
      <p>Lists as arguments</p>
    </text>
  </region>
  <region id="13" left="27" top="387" width="335" height="79" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">L</e>
        <e type="operand">3</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="operand">4</e>
        <e type="operand">y</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">7</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">2</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="operand">a</e>
        <e type="operand">y</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">13</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
        <e type="function" preserve="true" args="2">Solve</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="none">
        <e type="operand">x</e>
        <e type="operand">7</e>
        <e type="operand">a</e>
        <e type="operator" args="2">*</e>
        <e type="operand">52</e>
        <e type="operator" args="2">-</e>
        <e type="operand">3</e>
        <e type="operand">a</e>
        <e type="operator" args="2">*</e>
        <e type="operand">8</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">25</e>
        <e type="operand">3</e>
        <e type="operand">a</e>
        <e type="operator" args="2">*</e>
        <e type="operand">8</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
      </result>
    </math>
  </region>
  <region id="14" left="369" top="387" width="341" height="79" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">L</e>
        <e type="operand">3</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="operand">4</e>
        <e type="operand">y</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">7</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">2</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="operand">a</e>
        <e type="operand">y</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">13</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="function" preserve="true" args="2">Solve</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="none">
        <e type="operand">x</e>
        <e type="operand">7</e>
        <e type="operand">a</e>
        <e type="operator" args="2">*</e>
        <e type="operand">52</e>
        <e type="operator" args="2">-</e>
        <e type="operand">3</e>
        <e type="operand">a</e>
        <e type="operator" args="2">*</e>
        <e type="operand">8</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">25</e>
        <e type="operand">3</e>
        <e type="operand">a</e>
        <e type="operator" args="2">*</e>
        <e type="operand">8</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
      </result>
    </math>
  </region>
  <region id="15" left="27" top="459" width="184" height="79" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">L</e>
        <e type="function" preserve="true" args="1">Assign</e>
      </input>
      <result action="symbolic">
        <e type="operand">52</e>
        <e type="operator" args="1">-</e>
        <e type="operand">7</e>
        <e type="operand">a</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">8</e>
        <e type="operator" args="1">-</e>
        <e type="operand">3</e>
        <e type="operand">a</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">/</e>
        <e type="operand">25</e>
        <e type="operand">8</e>
        <e type="operator" args="1">-</e>
        <e type="operand">3</e>
        <e type="operand">a</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">/</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
      </result>
    </math>
  </region>
  <region id="16" left="234" top="477" width="101" height="41" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
      </input>
      <result action="none">
        <e type="operand">7</e>
        <e type="operand">a</e>
        <e type="operator" args="2">*</e>
        <e type="operand">52</e>
        <e type="operator" args="2">-</e>
        <e type="operand">3</e>
        <e type="operand">a</e>
        <e type="operator" args="2">*</e>
        <e type="operand">8</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">/</e>
      </result>
    </math>
  </region>
  <region id="17" left="351" top="477" width="93" height="41" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">y</e>
      </input>
      <result action="none">
        <e type="operand">25</e>
        <e type="operand">3</e>
        <e type="operand">a</e>
        <e type="operator" args="2">*</e>
        <e type="operand">8</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">/</e>
      </result>
    </math>
  </region>
  <region id="18" left="477" top="486" width="130" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" preserve="true" args="2">Clear</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
      </result>
    </math>
  </region>
  <region id="19" left="18" top="549" width="259" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p underline="true">Eine Unbekannte, drei Lösungen</p>
    </text>
    <text lang="eng">
      <p underline="true">One unknown, three solutions</p>
    </text>
  </region>
  <region id="20" left="27" top="576" width="358" height="67" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">L</e>
        <e type="operand">x</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operand">3</e>
        <e type="operand">x</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">5</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">15</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">Solve</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="symbolic">
        <e type="operand">x</e>
        <e type="operand">i</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">x</e>
        <e type="operand">i</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">x</e>
        <e type="operand">3</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
      </result>
    </math>
  </region>
  <region id="21" left="27" top="657" width="166" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">L</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="function" preserve="true" args="1">Assign</e>
      </input>
      <result action="symbolic">
        <e type="operand">i</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="22" left="234" top="657" width="118" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
      </input>
      <result action="numeric">
        <e type="operand">2.2361</e>
        <e type="operand">i</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="23" left="360" top="657" width="106" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">Clear</e>
      </input>
      <result action="symbolic">
        <e type="operand">1</e>
      </result>
    </math>
  </region>
  <region id="24" left="27" top="693" width="157" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">L</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="function" preserve="true" args="1">Assign</e>
      </input>
      <result action="symbolic">
        <e type="operand">i</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="25" left="234" top="693" width="109" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
      </input>
      <result action="numeric">
        <e type="operand">2.2361</e>
        <e type="operand">i</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="26" left="360" top="693" width="106" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">Clear</e>
      </input>
      <result action="symbolic">
        <e type="operand">1</e>
      </result>
    </math>
  </region>
  <region id="27" left="27" top="729" width="128" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">L</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="function" preserve="true" args="1">Assign</e>
      </input>
      <result action="symbolic">
        <e type="operand">3</e>
      </result>
    </math>
  </region>
  <region id="28" left="234" top="729" width="53" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
      </input>
      <result action="numeric">
        <e type="operand">3</e>
      </result>
    </math>
  </region>
  <region id="29" left="360" top="729" width="106" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">Clear</e>
      </input>
      <result action="symbolic">
        <e type="operand">1</e>
      </result>
    </math>
  </region>
  <region id="30" left="27" top="765" width="368" height="45" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operand">3</e>
        <e type="operand">x</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">5</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">15</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">Solve</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="function" preserve="true" args="1">Assign</e>
      </input>
      <result action="symbolic">
        <e type="operand">i</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="31" left="450" top="774" width="91" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
      </input>
      <result action="symbolic">
        <e type="operand">i</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="32" left="576" top="774" width="106" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">Clear</e>
      </input>
      <result action="symbolic">
        <e type="operand">1</e>
      </result>
    </math>
  </region>
  <region id="33" left="18" top="819" width="259" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p underline="true">Zwei Unbekannte, zwei Lösungen</p>
    </text>
    <text lang="eng">
      <p underline="true">Two unknown, two solutions</p>
    </text>
  </region>
  <region id="34" left="27" top="846" width="185" height="42" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">eq.1</e>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">3</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="operator" args="2">+</e>
        <e type="operand">y</e>
        <e type="operand">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="bracket">(</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="35" left="225" top="855" width="125" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">eq.2</e>
        <e type="operand">3</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">1</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="36" left="27" top="882" width="401" height="86" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">L</e>
        <e type="operand">eq.1</e>
        <e type="operand">eq.2</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
        <e type="function" preserve="true" args="2">Solve</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="none">
        <e type="operand">x</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operand">3</e>
        <e type="operator" args="2">-</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">y</e>
        <e type="operand">3</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operand">7</e>
        <e type="operator" args="2">-</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">x</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operand">3</e>
        <e type="operator" args="2">+</e>
        <e type="operand">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="operand">5</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operand">7</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="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">sys</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="37" left="27" top="963" width="204" height="83" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">L</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="function" preserve="true" args="1">Assign</e>
      </input>
      <result action="symbolic">
        <e type="operand">3</e>
        <e type="operator" args="1">-</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="1">-</e>
        <e type="operand">7</e>
        <e type="operator" args="1">-</e>
        <e type="operand">3</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
      </result>
    </math>
  </region>
  <region id="38" left="234" top="972" width="110" height="43" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
      </input>
      <result action="symbolic">
        <e type="operand">3</e>
        <e type="operator" args="1">-</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="39" left="351" top="972" width="116" height="43" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">y</e>
      </input>
      <result action="symbolic">
        <e type="operand">7</e>
        <e type="operator" args="1">-</e>
        <e type="operand">3</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
      </result>
    </math>
  </region>
  <region id="40" left="495" top="972" width="130" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" preserve="true" args="2">Clear</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
      </result>
    </math>
  </region>
  <region id="41" left="27" top="1044" width="204" height="83" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">L</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="function" preserve="true" args="1">Assign</e>
      </input>
      <result action="symbolic">
        <e type="operand">3</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operand">7</e>
        <e type="operand">3</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
      </result>
    </math>
  </region>
  <region id="42" left="234" top="1053" width="92" height="43" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
      </input>
      <result action="symbolic">
        <e type="operand">3</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
      </result>
    </math>
  </region>
  <region id="43" left="351" top="1053" width="116" height="43" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">y</e>
      </input>
      <result action="symbolic">
        <e type="operand">7</e>
        <e type="operand">3</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="44" left="495" top="1071" width="130" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" preserve="true" args="2">Clear</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
      </result>
    </math>
  </region>
  <region id="45" left="18" top="1134" width="166" height="28" color="#000000" bgColor="#ffffff">
    <writer lang="ger"><![CDATA[<span style="font-family: 'Arial Unicode MS'; font-size: 10pt; font-weight: normal; font-style: normal; color: Black; background-color: Transparent; text-align: left; line-height: 115%">
<div><span style="text-decoration: underline">Anzeige als Dezimalbruch</span></div></span>]]></writer>
    <writer lang="eng"><![CDATA[<span style="font-family: 'Arial Unicode MS'; font-size: 10pt; font-weight: normal; font-style: normal; text-decoration: none; color: Black; background-color: Transparent; text-align: left; line-height: 115%">
<div><span style="text-decoration: underline">Display of numeric results</span></div></span>]]></writer>
  </region>
  <region id="46" left="18" top="1161" width="126" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">fpprintprec</e>
        <e type="operand">6</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="47" left="18" top="1188" width="247" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">fpprintprec</e>
        <e type="function" preserve="true" args="1">MaximaDefine</e>
      </input>
      <result action="numeric">
        <e type="operand">6</e>
      </result>
    </math>
  </region>
  <region id="48" left="18" top="1215" width="359" height="48" color="#000000" bgColor="#ffffff" fontSize="10">
    <math trailingZeros="true">
      <input>
        <e type="operand">L</e>
        <e type="function" args="1">float</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="none">
        <e type="operand">x</e>
        <e type="operand">0.381966</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">y</e>
        <e type="operand">0.145898</e>
        <e type="operator" args="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">sys</e>
        <e type="operand">x</e>
        <e type="operand">2.61803</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">y</e>
        <e type="operand">6.8541</e>
        <e type="operator" args="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">sys</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="49" left="396" top="1224" width="218" height="29" color="#000000" bgColor="#ffffff">
    <writer lang="ger"><![CDATA[<span style="font-family: 'Arial Unicode MS'; font-size: 10pt; font-weight: normal; font-style: normal; color: Black; background-color: Transparent; text-align: left; line-height: 115%">
<div>Eingabe als  <span style="font-family: 'Courier New'">Maxima(float(L))</span></div></span>]]></writer>
    <writer lang="eng"><![CDATA[<span style="font-family: 'Arial Unicode MS'; font-size: 10pt; font-weight: normal; font-style: normal; color: Black; background-color: Transparent; text-align: left; line-height: 115%">
<div>Input this as  <span style="font-family: 'Courier New'">Maxima(float(L))</span></div></span>]]></writer>
  </region>
  <region id="50" left="18" top="1287" width="61" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Plugin Maxima.sm">Maxima</p>
    </text>
  </region>
  <region id="51" left="18" top="1323" width="127" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Function index.sm">Funktionsindex</p>
    </text>
    <text lang="eng">
      <p href="Function index.sm">Function index</p>
    </text>
  </region>
  <region id="52" left="18" top="1341" width="61" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="contents.sm">Inhalt</p>
    </text>
    <text lang="eng">
      <p href="contents.sm">Contents</p>
    </text>
  </region>
  <region id="53" left="18" top="1377" width="441" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p italic="true">$Author: mkraska $$Date: 2017-01-14 18:39:29 +0100 (Sa, 14 Jan 2017) $ </p>
    </text>
  </region>
</regions>