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      <revision>67</revision>
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    <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>
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      <assembly name="MaximaPlugin" version="1.0.5061.39413" guid="44011c1e-5d0d-4533-8e68-e32b5badce41" />
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  </settings>
  <region id="0" left="18" top="18" width="390" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p bold="true">Vereinfachen symbolischer Ausdrücke mit Maxima</p>
    </text>
    <text lang="eng">
      <p bold="true">Symbolic Math with Maxima</p>
    </text>
  </region>
  <region id="1" left="594" top="18" width="94" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Mathematik.sm">Mathematik</p>
    </text>
    <text lang="eng">
      <p href="Mathematik.sm">Mathematics</p>
    </text>
  </region>
  <region id="2" left="594" top="36" 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="594" top="54" width="61" 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="4" left="18" top="90" width="686" height="56" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Maxima-Ergebnisse können sehr lang werden, die standardmäßig angewendete Heuristik
zum Vereinfachen ist nicht sehr leistungsfähig. Zudem sind manche Vereinfachungen
nur unter bestimmten Bedingungen/Annahmen korrekt.</p>
    </text>
    <text lang="eng">
      <p>Maxima results can become very long. The standard heuristics for simplification is
not very smart. Also, some simplifications are only correct under certain conditions
or assumptions. Maxima might be more picky than the user expects.</p>
    </text>
  </region>
  <region id="5" left="18" top="162" width="711" height="72" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Die von Maxima gelieferten Ergebnisse können abhängig von der Optimierungseinstellung
in SMath noch symbolisch oder numerisch ausgewertet werden. 
Will man die Ausdrücke sehen, wie sie von Maxima kommen, so  muss man im Kontextmenü 
auf Optimierung "Abgeschaltet" stellen:</p>
    </text>
    <text lang="eng">
      <p>The results returned by Maxima can be post-processed by SMath, depending on the 
optimization setting.
If you want to see the genuine Maxima result, you must set the the optimization to
"None" in the context menu.</p>
    </text>
  </region>
  <region id="6" left="36" top="243" width="280" height="69" color="#000000" bgColor="#ffffff">
    <picture>
      <raw format="png" encoding="base64"> </raw>
    </picture>
  </region>
  <region id="7" left="18" top="324" width="659" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Maxima kennt einige  Vereinfachungsfunktionen, die bei Bedarf angewendet werden 
können:</p>
    </text>
    <text lang="eng">
      <p>Maxima has several simplification functions, which can be applied to results: </p>
    </text>
  </region>
  <region id="8" left="36" top="369" width="81" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">#</e>
        <e type="function" preserve="true" args="1">expand</e>
      </input>
    </math>
  </region>
  <region id="9" left="36" top="396" width="81" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">#</e>
        <e type="function" args="1">factor</e>
      </input>
    </math>
  </region>
  <region id="10" left="36" top="423" width="81" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">#</e>
        <e type="function" args="1">radcan</e>
      </input>
    </math>
  </region>
  <region id="11" left="180" top="423" width="563" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Canonical form for expressions with logs, exponentials and radicals</p>
    </text>
  </region>
  <region id="12" left="36" top="450" width="90" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">#</e>
        <e type="function" args="1">ratsimp</e>
      </input>
    </math>
  </region>
  <region id="13" left="36" top="477" width="123" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">#</e>
        <e type="function" args="1">fullratsimp</e>
      </input>
    </math>
  </region>
  <region id="14" left="36" top="504" width="139" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">#</e>
        <e type="function" args="1">rootscontract</e>
      </input>
    </math>
  </region>
  <region id="15" left="36" top="531" width="114" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">#</e>
        <e type="function" args="1">trigexpand</e>
      </input>
    </math>
  </region>
  <region id="16" left="36" top="558" width="90" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">#</e>
        <e type="function" args="1">trigrat</e>
      </input>
    </math>
  </region>
  <region id="17" left="36" top="585" width="114" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">#</e>
        <e type="function" args="1">trigreduce</e>
      </input>
    </math>
  </region>
  <region id="18" left="36" top="612" width="98" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">#</e>
        <e type="function" args="1">trigsimp</e>
      </input>
    </math>
  </region>
  <region id="19" left="18" top="648" width="78" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p underline="true">Beispiel</p>
    </text>
    <text lang="eng">
      <p underline="true">Example</p>
    </text>
  </region>
  <region id="20" left="18" top="684" width="708" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Die folgende Anweisung stellt sicher, dass sich Maxima um Integrale und einige andere
Funktionen kümmert.</p>
    </text>
    <text lang="eng">
      <p>The following command delegates integrals and other functions to Maxima.</p>
    </text>
  </region>
  <region id="21" left="18" top="720" width="625" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand" style="string">takeover</e>
        <e type="function" preserve="true" args="1">MaximaControl</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">int(), diff(), sum() and lim() now use Maxima</e>
      </result>
    </math>
  </region>
  <region id="22" left="18" top="747" width="653" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Beispiel: Das folgende Integral hat zunächst ein recht kompliziertes Ergebnis:</p>
    </text>
    <text lang="eng">
      <p>Example: The following integral has a rather cumbersome result:</p>
    </text>
  </region>
  <region id="23" left="27" top="774" width="453" height="86" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">1</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">int</e>
      </input>
      <result action="none">
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">^</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">1</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">x</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="24" left="18" top="864" width="580" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Das Ergebnis kann mit der Funktion radcan() stark vereinfacht werden.</p>
    </text>
    <text lang="eng">
      <p>radcan() can significantly simplify the expression:</p>
    </text>
  </region>
  <region id="25" left="36" top="891" width="284" height="47" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand" style="string">$%$</e>
        <e type="function" args="1">radcan</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">2</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">/</e>
      </result>
    </math>
  </region>
  <region id="26" left="18" top="945" width="672" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Diese Funktion wird nicht standardmäßig verwendet, weil sie unter Umständen sehr 
zeitaufwändig ist.</p>
    </text>
    <text lang="eng">
      <p>This function is not used by default because it can be very time consuming.</p>
    </text>
  </region>
  <region id="27" left="18" top="999" width="94" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Mathematik.sm">Mathematik</p>
    </text>
    <text lang="eng">
      <p href="Mathematik.sm">Mathematics</p>
    </text>
  </region>
  <region id="28" left="18" top="1017" width="61" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Plugin Maxima.sm">Maxima</p>
    </text>
  </region>
  <region id="29" left="18" top="1035" width="61" 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="30" left="18" top="1071" width="450" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p italic="true">$Author: mkraska $
$Date: 2013-09-10 01:56:48 +0200 (Di, 10. Sep 2013) $ </p>
    </text>
  </region>
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