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<?application progid="SMath Studio Desktop" version="0.96.4909.6802"?>
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  <settings>
    <identity>
      <id>d2ceb8ab-964c-4f1a-9712-e260c31f946a</id>
      <revision>77</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="MaximaPlugin" version="1.0.5076.19716" guid="44011c1e-5d0d-4533-8e68-e32b5badce41" />
      <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="Functions' Extension" version="0.0.5076.27557" guid="24c691c1-37f2-49e3-9a84-ccb77304d14a" />
      <assembly name="Special Functions" version="1.10.4909.6779" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
    </dependences>
  </settings>
  <region id="0" left="18" top="18" 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="1" left="18" top="36" width="683" 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(), det() and lim() now use Maxima</e>
      </result>
    </math>
  </region>
  <region id="2" left="18" top="72" width="627" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>The at() function denies any preprocessing (argument not of expected type),therefore cannot be used as input to Maxima()</p>
    </text>
  </region>
  <region id="3" left="18" top="126" width="673" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>We need a substitute for at() inside Maxima in order to avoid circular definition</p>
    </text>
  </region>
  <region id="4" left="18" top="162" width="271" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="9">
      <input>
        <e type="operand" style="string">$AT(e,s):=at(e,s)$</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="5" left="342" top="162" width="362" height="115" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">#</e>
        <e type="function" preserve="true" args="1">MaximaLog</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">
Request: AT(e,s):=at(e,s);
Answer: 
(%s5) AT(e,s):=at(e,s)
(%i6) 
Received bytes: 30
SMath get: AT(e;s):≡at(e;s)</e>
      </result>
    </math>
  </region>
  <region id="6" left="18" top="288" width="372" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Now we redirect at() to this Maxima function</p>
    </text>
  </region>
  <region id="7" left="18" top="315" width="457" height="57" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">expr</e>
        <e type="operand">s</e>
        <e type="function" preserve="true" args="2">at</e>
        <e type="operand" style="string">Make substitutions given as old=new in expr</e>
        <e type="operand">expr</e>
        <e type="operand">s</e>
        <e type="function" args="2">AT</e>
        <e type="function" preserve="true" args="1">Maxima</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="8" left="333" top="351" width="362" height="115" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">#</e>
        <e type="function" preserve="true" args="1">MaximaLog</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">
Request: AT(e,s):=at(e,s);
Answer: 
(%s5) AT(e,s):=at(e,s)
(%i6) 
Received bytes: 30
SMath get: AT(e;s):≡at(e;s)</e>
      </result>
    </math>
  </region>
  <region id="9" left="18" top="432" width="216" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>This brings at() to life.</p>
    </text>
  </region>
  <region id="10" left="18" top="450" width="334" height="100" 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">t</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">diff</e>
        <e type="operand">x</e>
        <e type="operand">a</e>
        <e type="operand">3</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="operand">b</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="function" args="2">at</e>
      </input>
      <result action="symbolic">
        <e type="operand">2</e>
        <e type="operand">a</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">b</e>
        <e type="operand">a</e>
        <e type="operand">6</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
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