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      <revision>16</revision>
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    <calculation>
      <precision>4</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <fractions>decimal</fractions>
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      <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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  <region id="0" left="18" top="18" width="332" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p bold="true">Example: Laplace transforms with Maxima</p>
    </text>
  </region>
  <region id="1" left="540" top="18" width="61" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Plugin Maxima.sm">Maxima</p>
    </text>
  </region>
  <region id="2" left="540" top="36" 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="3" left="18" top="63" width="387" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand" style="string">restart</e>
        <e type="function" preserve="true" args="1">MaximaControl</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">Restart complete.</e>
      </result>
    </math>
  </region>
  <region id="4" left="18" top="90" width="650" 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="numeric">
        <e type="operand" style="string">int(), diff(), det(), lim() and sum() now use Maxima</e>
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  <region id="5" left="18" top="135" width="556" height="46" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">2</e>
        <e type="operand">t</e>
        <e type="operator" args="2">*</e>
        <e type="operand">a</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="1">exp</e>
        <e type="operand">t</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="2">*</e>
        <e type="operand">t</e>
        <e type="operator" args="2">*</e>
        <e type="operand">t</e>
        <e type="operand">s</e>
        <e type="function" args="3">laplace</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="none">
        <e type="operand">e</e>
        <e type="operand">a</e>
        <e type="operator" args="2">^</e>
        <e type="operand">2</e>
        <e type="operand">s</e>
        <e type="operator" args="2">*</e>
        <e type="operand">4</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">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">4</e>
        <e type="operand">s</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operand">5</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="operator" args="2">*</e>
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  </region>
  <region id="6" left="18" top="207" width="604" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>This example reveals some translation issues (diff(f,x,1) -&gt; diff(f,x)):</p>
    </text>
  </region>
  <region id="7" left="18" top="252" width="587" height="76" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">t</e>
        <e type="function" args="1">delta</e>
        <e type="operand">t</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="3">diff</e>
        <e type="operand">t</e>
        <e type="operand">s</e>
        <e type="function" args="3">laplace</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="none">
        <e type="operand">t</e>
        <e type="function" args="1">delta</e>
        <e type="operand">t</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">diff</e>
        <e type="operand">t</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="function" preserve="true" args="2">at</e>
        <e type="operator" args="1">-</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">0</e>
        <e type="function" args="1">delta</e>
        <e type="operand">s</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
      </result>
    </math>
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  <region id="8" left="18" top="324" width="604" height="97" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operand">t</e>
        <e type="function" args="2">gamma_incomplete</e>
        <e type="operand">t</e>
        <e type="operand">s</e>
        <e type="function" args="3">laplace</e>
        <e type="function" args="1">factor</e>
        <e type="function" preserve="true" args="1">Maxima</e>
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        <e type="operand">π</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">s</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operand">1</e>
        <e type="operand">s</e>
        <e type="operator" args="2">+</e>
        <e type="operand">s</e>
        <e type="operator" args="2">/</e>
        <e type="function" preserve="true" args="1">sqrt</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">s</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">1</e>
        <e type="operand">s</e>
        <e type="operator" args="2">+</e>
        <e type="operand">s</e>
        <e type="operator" args="2">/</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">/</e>
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  <region id="9" left="18" top="423" width="642" height="67" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="bracket">(</e>
        <e type="operand">n</e>
        <e type="operator" args="2">^</e>
        <e type="operand">t</e>
        <e type="operand">n</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="function" args="1">unit_step</e>
        <e type="operator" args="2">*</e>
        <e type="operand">t</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="2">*</e>
        <e type="bracket">(</e>
        <e type="operand">n</e>
        <e type="operand">0</e>
        <e type="operand">∞</e>
        <e type="function" preserve="true" args="4">sum</e>
        <e type="operand">t</e>
        <e type="operand">s</e>
        <e type="function" args="3">laplace</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">e</e>
        <e type="operand">π</e>
        <e type="operand">s</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">^</e>
        <e type="operand">e</e>
        <e type="operand">π</e>
        <e type="operand">s</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">s</e>
        <e type="operand">i</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">i</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="10" left="18" top="495" width="406" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p underline="true">Integral equation (example from Maxima handbook)</p>
    </text>
  </region>
  <region id="11" left="18" top="522" width="217" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">t</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&gt;</e>
        <e type="function" args="1">assume</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">t</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&gt;</e>
      </result>
    </math>
  </region>
  <region id="12" left="18" top="558" width="301" height="68" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">eq</e>
        <e type="operand">a</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sinh</e>
        <e type="operand">t</e>
        <e type="operand">x</e>
        <e type="operator" args="2">-</e>
        <e type="function" args="1">f</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operand">t</e>
        <e type="function" preserve="true" args="4">int</e>
        <e type="operand">b</e>
        <e type="operand">t</e>
        <e type="function" args="1">f</e>
        <e type="operator" args="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="bracket">(</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="13" left="18" top="630" width="152" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Laplace transform</p>
    </text>
  </region>
  <region id="14" left="18" top="657" width="230" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">L</e>
        <e type="operand">eq</e>
        <e type="operand">t</e>
        <e type="operand">s</e>
        <e type="function" args="3">laplace</e>
        <e type="function" preserve="true" args="1">Maxima</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="15" left="351" top="657" width="364" height="54" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">L</e>
      </input>
      <result action="symbolic">
        <e type="operand">t</e>
        <e type="function" args="1">f</e>
        <e type="operand">t</e>
        <e type="operand">s</e>
        <e type="function" args="3">laplace</e>
        <e type="operand">a</e>
        <e type="operand">b</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="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="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="operator" args="2">/</e>
        <e type="operand">2</e>
        <e type="operand">s</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">≡</e>
      </result>
    </math>
  </region>
  <region id="16" left="18" top="702" width="398" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Solve for Laplace transform of unknown function</p>
    </text>
  </region>
  <region id="17" left="18" top="738" width="283" height="30" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">L</e>
        <e type="operand">L</e>
        <e type="operand">t</e>
        <e type="function" args="1">f</e>
        <e type="operand">t</e>
        <e type="operand">s</e>
        <e type="function" args="3">laplace</e>
        <e type="function" preserve="true" args="2">LinSolve</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="18" left="351" top="738" width="358" height="55" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">L</e>
      </input>
      <result action="symbolic">
        <e type="operand">t</e>
        <e type="function" args="1">f</e>
        <e type="operand">t</e>
        <e type="operand">s</e>
        <e type="function" args="3">laplace</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="operator" args="2">≡</e>
      </result>
    </math>
  </region>
  <region id="19" left="18" top="774" width="141" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">L</e>
        <e type="operand">L</e>
        <e type="function" args="1">rhs</e>
        <e type="function" preserve="true" args="1">Maxima</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="20" left="351" top="792" width="199" height="55" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">L</e>
      </input>
      <result action="symbolic">
        <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>
      </result>
    </math>
  </region>
  <region id="21" left="18" top="846" width="324" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Inverse transformation of the solution</p>
    </text>
  </region>
  <region id="22" left="18" top="873" width="473" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>There are implicit assumptions made, see log for details</p>
    </text>
  </region>
  <region id="23" left="18" top="900" width="638" height="111" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">L</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>
      </input>
      <result action="none">
        <e type="operand" style="string">Variables assumed to be positive</e>
        <e type="operand">2</e>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="operator" args="2">*</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="2">-</e>
        <e type="bracket">(</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="2">^</e>
        <e type="operand">t</e>
        <e type="operand">b</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">cosh</e>
        <e type="operand">a</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operand">b</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">a</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">b</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</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="operator" args="1">-</e>
        <e type="operand">a</e>
        <e type="operand">t</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</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="2">-</e>
        <e type="bracket">(</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">a</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operand">b</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">a</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">b</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</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">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
      </result>
    </math>
  </region>
  <region id="24" left="18" top="1017" width="450" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p italic="true">$Author: mkraska $
$Date: 2013-10-10 03:03:39 +0200 (Do, 10. Okt 2013) $ </p>
    </text>
  </region>
</regions>