<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.96.4909.6802"?>
<regions>
  <settings>
    <identity>
      <id>be8ed228-7b9f-4d88-9521-f6039e697cd5</id>
      <revision>137</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="MaximaPlugin" version="1.0.5113.32500" guid="44011c1e-5d0d-4533-8e68-e32b5badce41" />
      <assembly name="Special Functions" version="1.10.4909.6779" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="Functions' Extension" version="0.0.5093.5251" guid="24c691c1-37f2-49e3-9a84-ccb77304d14a" />
    </dependences>
  </settings>
  <region id="0" left="18" top="18" width="106" height="26" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">expr</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
    </math>
  </region>
  <region id="1" left="18" top="36" width="163" height="26" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">expr</e>
        <e type="operand">debug</e>
        <e type="function" preserve="true" args="2">Maxima</e>
      </input>
    </math>
  </region>
  <region id="2" left="18" top="72" 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="3" left="243" top="72" width="61" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Plugin Maxima.sm">Maxima</p>
    </text>
  </region>
  <region id="4" left="18" top="108" width="688" height="56" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Ausführung des mit expr oder text gegebenen Kommandos in einer laufenden
oder neu zu startenden Maxima-Sitzung. Für jede SMath-Instanz (Programmfenster) gibt
es einen separaten Maxima-Prozess.</p>
    </text>
    <text lang="eng">
      <p>Executes the Maxima command given by expr or text in a running Maxima session. If 
required, the session is started. There is one session per SMath instance which is 
shared between all open files.</p>
    </text>
  </region>
  <region id="5" left="36" top="180" width="45" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">expr</e>
      </input>
    </math>
  </region>
  <region id="6" left="108" top="180" width="626" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>SMath-Ausdruck, der in Maxima-Syntax übersetzt wird. Terme, die direkt
an Maxima gegeben werden sollen, müssen mit "$....$" geklammert werden.   </p>
    </text>
    <text lang="eng">
      <p>Math expression. Parts that are to be sent to Maxima without pre-processing
and translation, must be bracketed in "$...$". </p>
    </text>
  </region>
  <region id="7" left="108" top="225" width="215" height="64" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand" style="string">abc</e>
        <e type="operand">abc</e>
        <e type="operand" style="string">$a+a$</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="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand" style="string">abc</e>
        <e type="operand">abc</e>
        <e type="operand">2</e>
        <e type="operand">a</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="8" left="36" top="288" width="53" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">debug</e>
      </input>
    </math>
  </region>
  <region id="9" left="108" top="288" width="624" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>(debug oder "debug" geschrieben): Wenn vorhanden, wird der Ausdruck expr 
in den Inputspeicher des Debugger-Fensters geschrieben. Das Fenster öffnet 
sich, wenn es noch nicht offen ist.</p>
    </text>
    <text lang="eng">
      <p>(write as debug or "debug"): If this argument is present, then expr is sent
to the input buffer of the Debugger window. This window opens if required.</p>
    </text>
  </region>
  <region id="10" left="18" top="360" width="675" height="72" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Das Ergebnis wird wieder in SMath-Format übersetzt und je nach Optimierungseinstellung
numerisch, symbolisch oder überhaupt nicht weiter durch SMath ausgewertet. Die Rück-
übersetzung verschachtelter Listen ist noch nicht implementiert.</p>
    </text>
    <text lang="eng">
      <p>The result is back-translated to SMath. Depending on optimization setting, the 
returned expression is evaluated numerically, symbolically or not at all. In most
cases optimization "None" is recommended, because Maxima returns high quality 
simplifications.</p>
    </text>
  </region>
  <region id="11" left="18" top="423" width="672" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Mitunter liefert Maxima neben dem Ergebnis Zusatzinformationen. Dann werden beide 
gemeinsam in einer Liste angezeigt. </p>
    </text>
    <text lang="eng">
      <p>Sometimes Maxima provides added information. Then both result and added info are 
displayed in a list.</p>
    </text>
  </region>
  <region id="12" left="18" top="468" width="335" height="59" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">L</e>
        <e type="operand">2</e>
        <e type="operand">s</e>
        <e type="operand">a</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">s</e>
        <e type="operand">a</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">s</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operand">b</e>
        <e type="operand">s</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">a</e>
        <e type="operand">1</e>
        <e type="operand">a</e>
        <e type="operand">b</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="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">/</e>
        <e type="operand">s</e>
        <e type="operand">t</e>
        <e type="function" args="3">ilt</e>
        <e type="function" preserve="true" args="1">Maxima</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="13" left="18" top="531" width="526" height="90" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">L</e>
      </input>
      <result action="symbolic">
        <e type="operand" style="string">Variables assumed to be positive</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">a</e>
        <e type="operand">b</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">1</e>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">a</e>
        <e type="operand">b</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="function" preserve="true" args="1">sqrt</e>
        <e type="operand">t</e>
        <e type="operator" args="2">*</e>
        <e type="operand">b</e>
        <e type="operator" args="2">/</e>
        <e type="function" preserve="true" args="1">cosh</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">a</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">t</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="operand">a</e>
        <e type="operand">b</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operator" args="1">-</e>
        <e type="operand">a</e>
        <e type="operand">b</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="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">a</e>
        <e type="operand">1</e>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operator" args="1">-</e>
        <e type="operand">a</e>
        <e type="operand">b</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="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">a</e>
        <e type="operand">b</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="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="18" top="639" width="452" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand" style="string">cleanup</e>
        <e type="function" preserve="true" args="1">MaximaControl</e>
      </input>
      <result action="symbolic">
        <e type="operand" style="string">Maxima was re-initialized</e>
      </result>
    </math>
  </region>
  <region id="15" left="18" top="675" width="230" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p underline="true">Beidseitige Übersetzungen </p>
    </text>
    <text lang="eng">
      <p underline="true">Bidirectional Translations </p>
    </text>
  </region>
  <region id="16" left="243" top="711" width="70" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Beispiel </p>
    </text>
    <text lang="eng">
      <p>Example</p>
    </text>
  </region>
  <region id="17" left="504" top="711" width="103" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Maxima </p>
    </text>
    <text lang="eng">
      <p>Translation</p>
    </text>
  </region>
  <region id="18" left="18" top="720" width="688" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>__________________________________________________________________________________</p>
    </text>
  </region>
  <region id="19" left="18" top="756" width="111" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Tiefgestellte Buchstaben</p>
    </text>
    <text lang="eng">
      <p>Text indices</p>
    </text>
  </region>
  <region id="20" left="243" top="756" width="141" height="38" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">a.1</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">a.1</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">sys</e>
      </result>
    </math>
  </region>
  <region id="21" left="504" top="756" width="37" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">a_1</e>
      </input>
    </math>
  </region>
  <region id="22" left="18" top="801" width="176" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Griechische Buchstaben</p>
    </text>
    <text lang="eng">
      <p>greek letters
upper and lower case</p>
    </text>
  </region>
  <region id="23" left="243" top="801" width="156" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">α</e>
        <e type="operand">β</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">β</e>
        <e type="operand">α</e>
        <e type="operator" args="2">+</e>
      </result>
    </math>
  </region>
  <region id="24" left="504" top="801" width="111" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>%alpha+%beta</p>
    </text>
  </region>
  <region id="25" left="243" top="837" width="130" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">dφ</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">dφ</e>
      </result>
    </math>
  </region>
  <region id="26" left="504" top="837" width="53" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>d%phi</p>
    </text>
  </region>
  <region id="27" left="243" top="864" width="132" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">r.α</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">r.α</e>
      </result>
    </math>
  </region>
  <region id="28" left="504" top="864" width="78" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>r_%alpha</p>
    </text>
  </region>
  <region id="29" left="243" top="900" width="132" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">π.α</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">π.α</e>
      </result>
    </math>
  </region>
  <region id="30" left="504" top="900" width="94" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>%pi_%alpha</p>
    </text>
  </region>
  <region id="31" left="243" top="936" width="174" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Γ</e>
        <e type="operand">Δ.Σ</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">Γ</e>
        <e type="operand">Δ.Σ</e>
        <e type="operator" args="2">+</e>
      </result>
    </math>
  </region>
  <region id="32" left="504" top="936" width="177" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>%Gamma+%Delta_%Sigma</p>
    </text>
  </region>
  <region id="33" left="18" top="972" width="209" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Umlauts and ° in strings</p>
    </text>
  </region>
  <region id="34" left="243" top="972" width="262" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand" style="string">äöüßÄÜÖ°</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">äöüßÄÜÖ°</e>
      </result>
    </math>
  </region>
  <region id="35" left="504" top="972" width="82" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>äöüßÄÜÖ° </p>
    </text>
  </region>
  <region id="36" left="18" top="1008" width="152" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Spezielle Konstanten</p>
    </text>
    <text lang="eng">
      <p>Special constants</p>
    </text>
  </region>
  <region id="37" left="243" top="1008" width="144" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">2</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">2</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="38" left="504" top="1008" width="53" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>2*%pi</p>
    </text>
  </region>
  <region id="39" left="243" top="1035" width="211" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="1">sinh</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="40" left="504" top="1035" width="70" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>sin(%i)</p>
    </text>
  </region>
  <region id="41" left="243" top="1062" width="180" height="35" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">e</e>
        <e type="operand">i</e>
        <e type="operator" args="2">^</e>
        <e type="operand">e</e>
        <e type="operand">i</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">e</e>
        <e type="operand">2</e>
        <e type="operand">i</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">^</e>
      </result>
    </math>
  </region>
  <region id="42" left="504" top="1071" width="103" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>%e^%i*%e^%i</p>
    </text>
  </region>
  <region id="43" left="243" top="1098" width="181" height="41" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">2.3</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
        <e type="bracket">(</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">23</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
        <e type="operand">10</e>
        <e type="operator" args="2">/</e>
      </result>
    </math>
  </region>
  <region id="44" left="18" top="1107" width="152" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Dezimaltrennzeichen </p>
    </text>
    <text lang="eng">
      <p>Decimal delimiter</p>
    </text>
  </region>
  <region id="45" left="504" top="1107" width="70" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>2.3*%pi</p>
    </text>
  </region>
  <region id="46" left="18" top="1143" width="160" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Argumenttrennzeichen</p>
    </text>
    <text lang="eng">
      <p>Argument delimiter</p>
    </text>
  </region>
  <region id="47" left="243" top="1143" width="268" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="function" args="2">dummy</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="none">
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="function" args="2">dummy</e>
      </result>
    </math>
  </region>
  <region id="48" left="504" top="1143" width="94" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>dummy(a,b)</p>
    </text>
  </region>
  <region id="49" left="18" top="1179" width="176" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Maßeinheiten </p>
    </text>
    <text lang="eng">
      <p>Units of measurement</p>
    </text>
  </region>
  <region id="50" left="243" top="1179" width="209" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">3</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">4</e>
        <e type="operator" args="2">*</e>
        <e type="operand" style="unit">kg</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="numeric">
        <e type="operand">12</e>
        <e type="operand" style="unit">kg</e>
        <e type="operator" args="2">*</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="51" left="504" top="1179" width="160" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>3*%unitm*4*%unitkg</p>
    </text>
  </region>
  <region id="52" left="18" top="1215" width="78" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Matrizen </p>
    </text>
    <text lang="eng">
      <p>Matrices</p>
    </text>
  </region>
  <region id="53" left="243" top="1215" width="216" height="74" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">1</e>
        <e type="operand" style="string">a</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">2</e>
        <e type="operand">x.y</e>
        <e type="operand">a</e>
        <e type="operand">2</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="6">mat</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">1</e>
        <e type="operand" style="string">a</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">2</e>
        <e type="operand">x.y</e>
        <e type="operand">a</e>
        <e type="operand">2</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="6">mat</e>
      </result>
    </math>
  </region>
  <region id="54" left="504" top="1215" width="234" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>matrix([[1,"a"],2],[x_y,a])</p>
    </text>
  </region>
  <region id="55" left="18" top="1296" width="127" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Vektorindizes </p>
    </text>
    <text lang="eng">
      <p>Vector indices</p>
    </text>
  </region>
  <region id="56" left="243" top="1296" width="142" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">v</e>
        <e type="operand">k</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">v</e>
        <e type="operand">k</e>
        <e type="function" preserve="true" args="2">el</e>
      </result>
    </math>
  </region>
  <region id="57" left="504" top="1296" width="111" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>el(v,k):v[k]</p>
    </text>
  </region>
  <region id="58" left="18" top="1332" width="131" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Matrixindizes</p>
    </text>
    <text lang="eng">
      <p>Matrix indizes </p>
    </text>
  </region>
  <region id="59" left="243" top="1332" width="170" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">M</e>
        <e type="operand">j</e>
        <e type="operand">k</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">M</e>
        <e type="operand">j</e>
        <e type="operand">k</e>
        <e type="function" preserve="true" args="3">el</e>
      </result>
    </math>
  </region>
  <region id="60" left="504" top="1332" width="144" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>el(M,j,k):M[j,k]</p>
    </text>
  </region>
  <region id="61" left="18" top="1368" width="568" height="24" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Mote that single indices in Maxima point to rows instead of elements</p>
    </text>
  </region>
  <region id="62" left="18" top="1404" width="57" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>lists </p>
    </text>
  </region>
  <region id="63" left="243" top="1404" width="220" height="106" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">a</e>
        <e type="operand">b</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="operand">3</e>
        <e type="operand">4</e>
        <e type="operand">2</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="6">mat</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" args="2">f</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="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">a</e>
        <e type="operand">b</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="operand">3</e>
        <e type="operand">4</e>
        <e type="operand">2</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="6">mat</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" args="2">f</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="64" left="441" top="1413" width="292" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>[[a,b],matrix([1,2],[3,4]),f(x,y)]</p>
    </text>
  </region>
  <region id="65" left="18" top="1512" width="70" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Zeichenketten </p>
    </text>
    <text lang="eng">
      <p>Strings</p>
    </text>
  </region>
  <region id="66" left="243" top="1512" width="262" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand" style="string">a b\\;.,</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand" style="string">a b\\;.,</e>
      </result>
    </math>
  </region>
  <region id="67" left="504" top="1512" width="94" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>"a b\\;.,"</p>
    </text>
  </region>
  <region id="68" left="243" top="1539" width="162" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="operator" args="2">^</e>
        <e type="operand">c</e>
        <e type="operator" args="2">^</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="operator" args="2">^</e>
        <e type="operand">c</e>
        <e type="operator" args="2">^</e>
      </result>
    </math>
  </region>
  <region id="69" left="504" top="1548" width="70" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>(a^b)^c</p>
    </text>
  </region>
  <region id="70" left="18" top="1557" width="152" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Operatorpriorität </p>
    </text>
    <text lang="eng">
      <p>Operator priority</p>
    </text>
  </region>
  <region id="71" left="243" top="1584" width="162" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="operand">c</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">^</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="operand">c</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">^</e>
      </result>
    </math>
  </region>
  <region id="72" left="504" top="1593" width="70" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>a^{b^c}</p>
    </text>
  </region>
  <region id="73" left="18" top="1629" width="193" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Logische Operatoren</p>
    </text>
    <text lang="eng">
      <p>Boolean and relational
operators</p>
    </text>
  </region>
  <region id="74" left="243" top="1629" width="156" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="operator" args="2">≤</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="operator" args="2">≤</e>
      </result>
    </math>
  </region>
  <region id="75" left="504" top="1629" width="60" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>a &lt;= b</p>
    </text>
  </region>
  <region id="76" left="243" top="1656" width="156" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="operator" args="2">≥</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="operator" args="2">≥</e>
      </result>
    </math>
  </region>
  <region id="77" left="504" top="1656" width="60" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>a &gt;= b</p>
    </text>
  </region>
  <region id="78" left="18" top="1683" width="217" height="72" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Take care that in Maxima
boolean expressions 
are "true" or "false" but
not 1 or 0.</p>
    </text>
  </region>
  <region id="79" left="243" top="1683" width="156" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="operator" args="2">≠</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="operator" args="2">≠</e>
      </result>
    </math>
  </region>
  <region id="80" left="504" top="1683" width="52" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>a # b</p>
    </text>
  </region>
  <region id="81" left="243" top="1710" width="156" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="operator" args="2">&amp;</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="operator" args="2">&amp;</e>
      </result>
    </math>
  </region>
  <region id="82" left="504" top="1710" width="69" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>a and b</p>
    </text>
  </region>
  <region id="83" left="243" top="1737" width="156" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="operator" args="2">|</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="operator" args="2">|</e>
      </result>
    </math>
  </region>
  <region id="84" left="504" top="1737" width="60" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>a or b</p>
    </text>
  </region>
  <region id="85" left="18" top="1782" width="292" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p underline="true">Spezialübersetzungen SMath-&gt;Maxima</p>
    </text>
    <text lang="eng">
      <p underline="true">Special translations SMath-&gt;Maxima</p>
    </text>
  </region>
  <region id="86" left="243" top="1809" width="70" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Beispiel </p>
    </text>
    <text lang="eng">
      <p>Example</p>
    </text>
  </region>
  <region id="87" left="18" top="1818" width="688" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>__________________________________________________________________________________</p>
    </text>
  </region>
  <region id="88" left="243" top="1845" width="340" height="36" 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">log</e>
        <e type="function" args="1">string</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand" style="string">log(x)/log(y)</e>
      </result>
    </math>
  </region>
  <region id="89" left="18" top="1854" width="69" height="32" 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">log</e>
      </input>
    </math>
  </region>
  <region id="90" left="18" top="1890" width="53" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Listen </p>
    </text>
    <text lang="eng">
      <p>Lists</p>
    </text>
  </region>
  <region id="91" left="243" top="1890" width="542" height="78" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" args="2">f</e>
        <e type="operand" style="string">a</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">2</e>
        <e type="operand">x.y</e>
        <e type="operand">a</e>
        <e type="operand">2</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="6">mat</e>
        <e type="function" args="1">string</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand" style="string">matrix([[f(x,y),\"a\"],2],[x_y,a])</e>
      </result>
    </math>
  </region>
  <region id="92" left="18" top="1971" width="292" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p underline="true">Spezialübersetzungen Maxima-&gt;SMath</p>
    </text>
    <text lang="eng">
      <p underline="true">Special translations Maxima-&gt;SMath</p>
    </text>
  </region>
  <region id="93" left="243" top="2007" width="70" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Beispiel </p>
    </text>
    <text lang="eng">
      <p>Example</p>
    </text>
  </region>
  <region id="94" left="18" top="2016" width="688" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>__________________________________________________________________________________</p>
    </text>
  </region>
  <region id="95" left="18" top="2061" width="53" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Listen</p>
    </text>
    <text lang="eng">
      <p>Lists</p>
    </text>
  </region>
  <region id="96" left="243" top="2061" width="189" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand" style="string">$[x,y]$</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <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>
      </result>
    </math>
  </region>
  <region id="97" left="243" top="2088" width="413" height="50" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand" style="string">$[[x=1,y=2],[x=2,y=3]]$</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <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">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</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operand">y</e>
        <e type="operand">3</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>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="98" left="18" top="2106" width="176" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Gleichungssysteme </p>
    </text>
    <text lang="eng">
      <p>Systems of equations</p>
    </text>
  </region>
  <region id="99" left="243" top="2142" width="275" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand" style="string">$2.1e100$</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="none">
        <e type="operand">2.1</e>
        <e type="operand">10</e>
        <e type="operand">100</e>
        <e type="operator" args="1">+</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="100" left="18" top="2151" width="201" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Gleitkommazahlen in 
Exponentialschreibweise</p>
    </text>
    <text lang="eng">
      <p>Floating point numbers 
in exponential notation</p>
    </text>
  </region>
  <region id="101" left="243" top="2178" width="266" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand" style="string">$2.1b100$</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="none">
        <e type="operand">2.1</e>
        <e type="operand">10</e>
        <e type="operand">100</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="102" left="243" top="2205" width="464" height="64" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand" style="string">$at(diff(delta(x),x),x=y)$</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">x</e>
        <e type="function" args="1">delta</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">diff</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="function" preserve="true" args="2">at</e>
      </result>
    </math>
  </region>
  <region id="103" left="18" top="2223" width="185" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Substitutionsfunktion</p>
    </text>
    <text lang="eng">
      <p>Substitution function</p>
    </text>
  </region>
  <region id="104" top="2268" color="#000000" bgColor="#ffffff">
    <area single="true" collapsed="true" />
  </region>
  <region id="105" left="18" top="2304" width="548" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Wenn die Übersetzung in Richtung Maxima nicht gelingt, nehmen Sie die Zeichenketten-
Variante.</p>
    </text>
    <text lang="eng">
      <p>If translation to Maxima fails, use the verbatim string argument. </p>
    </text>
  </region>
  <region id="106" left="18" top="2340" width="627" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Wenn die Übersetzung zu SMath nicht funktioniert, dann schauen Sie im Log nach.</p>
    </text>
    <text lang="eng">
      <p>If translation to SMath fails, display the communication using MaximaLog().</p>
    </text>
  </region>
  <region id="107" left="36" top="2367" width="444" height="100" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">#</e>
        <e type="function" preserve="true" args="1">MaximaLog</e>
      </input>
      <result action="symbolic">
        <e type="operand" style="string">Request: at(diff(delta(x),x),x=y);
Answer: 
(%s35) ?%at('diff(delta(x),x,1),x = y)
(%i36) 
Received bytes: 47
SMath get: at(diff(delta(x);x;1);x≡y)</e>
      </result>
    </math>
  </region>
  <region id="108" left="18" top="2493" width="691" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Einige Maxima-Funktionen werden vom Plugin Maxima direkt bereitgestellt, so dass 
dafür die Funktion Maxima() nicht benötigt wird.</p>
    </text>
    <text lang="eng">
      <p>Some Maxima functions have a direct SMath interface, such that an explicit Maxima()
call is not required.</p>
    </text>
  </region>
  <region id="109" left="18" top="2547" width="672" height="56" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Die Funktionen Solve(), LinSolve() Algsys() und ODE.2() stehen immer bereit. Die 
Funktionen int(), diff(), det(), sum() und lim() können wahlweise über Maxima()
angesprochen oder direkt auf die SMath Funktionen umgelegt werden.</p>
    </text>
    <text lang="eng">
      <p>The solver functions Solve(), LinSolve() and Algsys() are always available. The 
internal functions int(), diff(), sum(), det() and lim() can be switched between 
native SMath or Maxima version</p>
    </text>
  </region>
  <region id="110" left="18" top="2619" width="518" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand" style="string">none</e>
        <e type="function" preserve="true" args="1">MaximaTakeover</e>
      </input>
      <result action="symbolic">
        <e type="operand" style="string">All functions now are native SMath.</e>
      </result>
    </math>
  </region>
  <region id="111" left="270" top="2637" width="178" height="50" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">int</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">x</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operand">3</e>
        <e type="operator" args="2">/</e>
      </result>
    </math>
  </region>
  <region id="112" left="45" top="2646" width="149" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">int</e>
      </input>
      <result action="symbolic">
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">int</e>
      </result>
    </math>
  </region>
  <region id="113" left="45" top="2691" width="199" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sech</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">diff</e>
      </input>
      <result action="symbolic">
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sech</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">diff</e>
      </result>
    </math>
  </region>
  <region id="114" left="270" top="2691" width="301" height="46" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sech</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">diff</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sech</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">tanh</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="115" left="45" top="2736" width="145" height="46" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">a</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operand">b</e>
        <e type="operand">3</e>
        <e type="operand">2</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="6">mat</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">det</e>
      </input>
      <result action="symbolic">
        <e type="operand">a</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operand">b</e>
        <e type="operand">3</e>
        <e type="operand">2</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="6">mat</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">det</e>
      </result>
    </math>
  </region>
  <region id="116" left="270" top="2745" width="231" height="48" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">a</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operand">b</e>
        <e type="operand">3</e>
        <e type="operand">2</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="6">mat</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">det</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">a</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">3</e>
        <e type="operand">2</e>
        <e type="operand">b</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="117" left="36" top="2790" width="141" height="54" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">x</e>
        <e type="operator" args="2">/</e>
        <e type="operand">x</e>
        <e type="operand">∞</e>
        <e type="function" preserve="true" args="3">lim</e>
      </input>
      <result action="symbolic">
        <e type="operand">x</e>
        <e type="operand">x</e>
        <e type="operand">∞</e>
        <e type="function" preserve="true" args="3">lim</e>
      </result>
    </math>
  </region>
  <region id="118" left="270" top="2799" width="166" height="56" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">x</e>
        <e type="operator" args="2">/</e>
        <e type="operand">x</e>
        <e type="operand">∞</e>
        <e type="function" preserve="true" args="3">lim</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">∞</e>
      </result>
    </math>
  </region>
  <region id="119" left="36" top="2853" width="89" height="63" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="2">
      <input>
        <e type="operand">j</e>
        <e type="operand">j</e>
        <e type="operand">1</e>
        <e type="operand">n</e>
        <e type="function" preserve="true" args="4">sum</e>
      </input>
      <result action="none">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="120" left="270" top="2853" width="198" height="65" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">j</e>
        <e type="operand">j</e>
        <e type="operand">1</e>
        <e type="operand">n</e>
        <e type="function" preserve="true" args="4">sum</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">n</e>
        <e type="operand">1</e>
        <e type="operand">n</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
      </result>
    </math>
  </region>
  <region id="121" left="18" top="2916" width="774" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand" style="string">all</e>
        <e type="function" preserve="true" args="1">MaximaTakeover</e>
      </input>
      <result action="symbolic">
        <e type="operand" style="string">The functions int(), diff(), det(), lim() and sum() now use Maxima.</e>
      </result>
    </math>
  </region>
  <region id="122" left="36" top="2943" width="117" height="50" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">int</e>
      </input>
      <result action="symbolic">
        <e type="operand">x</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operand">3</e>
        <e type="operator" args="2">/</e>
      </result>
    </math>
  </region>
  <region id="123" left="279" top="2943" width="105" height="54" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">x</e>
        <e type="operator" args="2">/</e>
        <e type="operand">x</e>
        <e type="operand">∞</e>
        <e type="function" preserve="true" args="3">lim</e>
      </input>
      <result action="symbolic">
        <e type="operand">∞</e>
      </result>
    </math>
  </region>
  <region id="124" left="423" top="2952" width="170" height="46" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">a</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operand">b</e>
        <e type="operand">3</e>
        <e type="operand">2</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="6">mat</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">det</e>
      </input>
      <result action="symbolic">
        <e type="operand">a</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">3</e>
        <e type="operand">2</e>
        <e type="operand">b</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="125" left="36" top="2988" width="240" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sech</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">diff</e>
      </input>
      <result action="symbolic">
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sech</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">tanh</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="126" left="36" top="3033" width="137" height="63" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">j</e>
        <e type="operand">j</e>
        <e type="operand">1</e>
        <e type="operand">n</e>
        <e type="function" preserve="true" args="4">sum</e>
      </input>
      <result action="symbolic">
        <e type="operand">n</e>
        <e type="operand">1</e>
        <e type="operand">n</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
      </result>
    </math>
  </region>
  <region id="127" left="18" top="3105" width="61" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Plugin Maxima.sm">Maxima</p>
    </text>
  </region>
  <region id="128" left="18" top="3141" 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="129" left="18" top="3159" 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="130" left="18" top="3195" 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>