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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>90</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" />
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      <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="MaximaPlugin" version="1.0.5114.38632" guid="44011c1e-5d0d-4533-8e68-e32b5badce41" />
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  <region id="0" left="18" top="18" width="156" 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">LinSolve</e>
      </input>
    </math>
  </region>
  <region id="1" left="18" top="54" width="126" 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="734" height="56" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Löst das als eqn gegebene lineare Gleichungssystem nach den Variablen var auf.
Liefert eine Liste aus Gleichungen Variable=Wert, die mit Assign() für die 
Zuweisung verwendet werden kann. Die Funktion ruft linsolve() in Maxima auf.</p>
    </text>
    <text lang="eng">
      <p>Solves the linear system of equations given as eqn for variables given as var and 
returns the solution as a list of boolean equations variable=value. The solutions 
can be assigned to the variables using Assign(). The function calls Maxima's linsolve().</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="232" 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="550" height="24" 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="162" top="225" width="172" height="41" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">eq</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">2</e>
        <e type="operand">a</e>
        <e type="operator" args="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">2</e>
        <e type="operand">a</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="bracket">(</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
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  <region id="9" left="36" top="234" width="115" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">eq</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="operand">z</e>
        <e type="operator" args="2">+</e>
        <e type="operand">y</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
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  <region id="10" left="342" top="234" width="130" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">eq</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">y</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">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="36" top="261" width="148" height="80" 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">x</e>
        <e type="operand">y</e>
        <e type="operand">z</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">mat</e>
      </result>
    </math>
  </region>
  <region id="12" left="180" top="261" width="223" height="64" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">eq</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">sys</e>
        <e type="function" preserve="true" args="2">LinSolve</e>
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        <e type="operand">a</e>
        <e type="operand">1</e>
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        <e type="operator" args="2">≡</e>
        <e type="operand">y</e>
        <e type="operand">2</e>
        <e type="operand">a</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">z</e>
        <e type="operand">a</e>
        <e type="operand">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">sys</e>
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    </math>
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  <region id="13" left="36" top="342" width="289" height="84" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">3</e>
        <e type="operand">y</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">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">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">LinSolve</e>
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        <e type="operand">x</e>
        <e type="operand">17</e>
        <e type="operand">7</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operand">y</e>
        <e type="operand">1</e>
        <e type="operand">7</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="1">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
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    </math>
  </region>
  <region id="14" left="36" top="423" width="274" height="68" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <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">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">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">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">sys</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">sys</e>
        <e type="function" preserve="true" args="2">LinSolve</e>
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      <result action="symbolic">
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operand">y</e>
        <e type="operand">2</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operand">z</e>
        <e type="operand">3</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</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="15" left="18" top="504" width="699" height="72" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Bei unterbestimmten Systemen (weniger Gleichungen als Unbekannte oder linear 
abhängige Gleichungen) werden freie Parameter rn eingeführt, n ist ein Zähler der 
in der aktuellen Maxima-Sitzung hochläuft. Für reproduzierbare Parameternamen muss
Maxima mit MaximaControl("restart") neu gestartet werden.</p>
    </text>
    <text lang="eng">
      <p>In case of underdetermined systems (less equations than variables, LinSolve()
introduces arbitrary parameters rn, where n is a counter which is incremented inside
the current Maxima session. If you rely on reproducible parameter names use 
MaximaControl("restart")</p>
    </text>
  </region>
  <region id="16" left="36" top="576" width="313" height="113" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">eq</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operand">z</e>
        <e type="operand">a</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">sys</e>
        <e type="function" preserve="true" args="2">LinSolve</e>
      </input>
      <result action="symbolic">
        <e type="operand">x</e>
        <e type="operand">r1</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operand">y</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">r1</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="bracket">(</e>
        <e type="operand">z</e>
        <e type="operand">2</e>
        <e type="operator" args="1">-</e>
        <e type="operand">r1</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operand">a</e>
        <e type="operand">1</e>
        <e type="operand">r1</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">a</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">x</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="1">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">sys</e>
      </result>
    </math>
  </region>
  <region id="17" left="18" top="684" width="61" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Plugin Maxima.sm">Maxima</p>
    </text>
  </region>
  <region id="18" left="18" top="711" 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="19" left="18" top="729" width="78" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Handbook.sm">Inhalt</p>
    </text>
    <text lang="eng">
      <p href="Handbook.sm">Contents</p>
    </text>
  </region>
  <region id="20" left="18" top="765" width="450" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p italic="true">$Author: mkraska $
$Date: 2014-01-03 00:31:00 +0100 (Fr, 03. Jan 2014) $ </p>
    </text>
  </region>
</regions>