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<?application progid="SMath Studio Desktop" version="0.96.4909.6802"?>
<regions>
  <settings>
    <identity>
      <id>be8ed228-7b9f-4d88-9521-f6039e697cd5</id>
      <revision>44</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="Text Region" version="1.9.4909.6785" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
      <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="Plot Region" version="1.8.4909.6768" guid="c451c2b5-798b-4f08-b9ec-b90963d1ddaa" />
      <assembly name="Special Functions" version="1.10.4909.6779" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="Statistical Tools" version="1.0.4902.38391" guid="76f6e9f5-ac86-4ffb-9e4d-284c8daecaf9" />
    </dependences>
  </settings>
  <region id="0" left="18" top="18" width="258" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p bold="true">Stückweise stetige Funktionen</p>
    </text>
    <text lang="eng">
      <p bold="true">Piecewise continuous functions</p>
    </text>
  </region>
  <region id="1" left="594" top="18" width="103" 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="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="45" 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="72" 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="5" left="18" top="108" width="119" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p bold="true">Sprungfunktion</p>
    </text>
    <text lang="eng">
      <p bold="true">Step function</p>
    </text>
  </region>
  <region id="6" left="18" top="144" width="455" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Die Sprungfunktion kann auf viele verschiedene Arten dargestellt werden.</p>
    </text>
    <text lang="eng">
      <p>There are several ways to represent the step function.</p>
    </text>
  </region>
  <region id="7" left="18" top="198" width="152" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p underline="true">Boolsche Operatoren</p>
    </text>
    <text lang="eng">
      <p underline="true">boolean operators</p>
    </text>
  </region>
  <region id="8" left="18" top="234" width="151" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">x.0</e>
        <e type="function" args="2">step</e>
        <e type="operand">x</e>
        <e type="operand">x.0</e>
        <e type="operator" args="2">&gt;</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="9" left="342" top="234" width="122" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" args="2">step</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
      </result>
    </math>
  </region>
  <region id="10" left="495" top="234" width="142" height="98" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="3.138428376721" scale_y="3.138428376721" scale_z="3.138428376721" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-24" transpose_y="-16" transpose_z="0">
      <input>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="function" args="2">step</e>
      </input>
    </plot>
  </region>
  <region id="11" left="18" top="261" width="225" height="66" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="function" args="2">step</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">int</e>
      </input>
      <result action="symbolic">
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="operator" args="2">&gt;</e>
        <e type="bracket">(</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">int</e>
      </result>
    </math>
  </region>
  <region id="12" left="657" top="270" width="378" 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: integrate(x&gt;1,x,0,2);
Answer: 
(%s6) 'integrate(x &gt; 1,x,0,2)
(%i7) 
Received bytes: 37
SMath get: int(x&gt;1;x;0;2)</e>
      </result>
    </math>
  </region>
  <region id="13" left="18" top="333" width="119" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p underline="true">Signum-Funktion</p>
    </text>
    <text lang="eng">
      <p underline="true">sign function</p>
    </text>
  </region>
  <region id="14" left="18" top="369" width="244" height="42" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">x.0</e>
        <e type="function" args="2">step</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operand">1</e>
        <e type="operand">x</e>
        <e type="operand">x.0</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="1">sign</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="15" left="342" top="378" width="139" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" args="2">step</e>
      </input>
      <result action="numeric">
        <e type="operand">0.5</e>
      </result>
    </math>
  </region>
  <region id="16" left="495" top="378" width="142" height="98" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="3.138428376721" scale_y="3.138428376721" scale_z="3.138428376721" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-24" transpose_y="-16" transpose_z="0">
      <input>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="function" args="2">step</e>
      </input>
    </plot>
  </region>
  <region id="17" left="18" top="405" width="159" height="66" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="function" args="2">step</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">int</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
      </result>
    </math>
  </region>
  <region id="18" left="648" top="423" width="494" 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: integrate((1+signum(x-1))/2,x,0,2);
Answer: 
(%s7) 1
(%i8) 
Received bytes: 15
SMath get: 1</e>
      </result>
    </math>
  </region>
  <region id="19" left="18" top="486" width="127" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p underline="true">Betragsfunktion </p>
    </text>
    <text lang="eng">
      <p underline="true">absolute value</p>
    </text>
  </region>
  <region id="20" left="18" top="522" width="209" height="61" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">x.0</e>
        <e type="function" args="2">step</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operand">1</e>
        <e type="operand">x</e>
        <e type="operand">x.0</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="1">abs</e>
        <e type="operand">x</e>
        <e type="operand">x.0</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="21" left="342" top="531" width="122" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="57">
      <input>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" args="2">step</e>
      </input>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="22" left="495" top="531" width="142" height="98" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="3.138428376721" scale_y="3.138428376721" scale_z="3.138428376721" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-24" transpose_y="-16" transpose_z="0">
      <input>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="function" args="2">step</e>
      </input>
    </plot>
  </region>
  <region id="23" left="18" top="576" width="159" height="66" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="9">
      <input>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="function" args="2">step</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">int</e>
      </input>
      <result action="symbolic">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="24" left="648" top="576" width="551" 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="numeric">
        <e type="operand" style="string">
Request: integrate((x-1+abs(x-1))/(2*(x-1)),x,0,2);
Answer: Principal Value

Received bytes: 16
SMath get: error($[Maxima]: Principal Value $)</e>
      </result>
    </math>
  </region>
  <region id="25" left="18" top="666" width="332" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p underline="true">Heaviside-Sprungfunktion aus dem Plugin</p>
    </text>
    <text lang="eng">
      <p underline="true">Heaviside step function from the plugin</p>
    </text>
  </region>
  <region id="26" left="360" top="666" width="152" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Plugin Statistical Tools.sm">Statistical Tools</p>
    </text>
  </region>
  <region id="27" left="18" top="702" width="231" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">x.0</e>
        <e type="function" args="2">step</e>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">Heaviside</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="28" left="342" top="702" width="139" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" args="2">step</e>
      </input>
      <result action="numeric">
        <e type="operand">0.5</e>
      </result>
    </math>
  </region>
  <region id="29" left="495" top="702" width="142" height="98" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="3.138428376721" scale_y="3.138428376721" scale_z="3.138428376721" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-24" transpose_y="-16" transpose_z="0">
      <input>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="function" args="2">step</e>
      </input>
    </plot>
  </region>
  <region id="30" left="18" top="738" width="159" height="66" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="2">
      <input>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="function" args="2">step</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">int</e>
      </input>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="31" left="648" top="738" width="502" 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: integrate((1+signum(-1+x))/2,x,0,2);
Answer: 
(%s10) 1
(%i11) 
Received bytes: 17
SMath get: 1</e>
      </result>
    </math>
  </region>
  <region id="32" left="18" top="864" width="240" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">x.0</e>
        <e type="function" args="2">step</e>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">Heaviside.D</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="33" left="342" top="864" width="122" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" args="2">step</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
      </result>
    </math>
  </region>
  <region id="34" left="495" top="864" width="142" height="98" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="3.138428376721" scale_y="3.138428376721" scale_z="3.138428376721" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-24" transpose_y="-16" transpose_z="0">
      <input>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="function" args="2">step</e>
      </input>
    </plot>
  </region>
  <region id="35" left="18" top="900" width="159" height="66" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="9">
      <input>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="function" args="2">step</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">int</e>
      </input>
      <result action="symbolic">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="36" left="648" top="900" width="386" 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: integrate(x&gt;=1,x,0,2);
Answer: 
(%s12) 'integrate(x &gt;= 1,x,0,2)
(%i13) 
Received bytes: 40
SMath get: int(x&gt;≡1;x;0;2)</e>
      </result>
    </math>
  </region>
  <region id="37" left="18" top="990" width="226" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p underline="true">Gerundeter Tangens hyperbolicus</p>
    </text>
    <text lang="eng">
      <p underline="true">rounded hyperbolic tangent</p>
    </text>
  </region>
  <region id="38" left="18" top="1026" width="317" height="43" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">x.0</e>
        <e type="function" args="2">step</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operand">x</e>
        <e type="operand">x.0</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="1">tanh</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">0</e>
        <e type="function" preserve="true" args="2">round</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="39" left="342" top="1026" width="122" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" args="2">step</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
      </result>
    </math>
  </region>
  <region id="40" left="495" top="1026" width="142" height="98" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="3.138428376721" scale_y="3.138428376721" scale_z="3.138428376721" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-24" transpose_y="-16" transpose_z="0">
      <input>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="function" args="2">step</e>
      </input>
    </plot>
  </region>
  <region id="41" left="18" top="1062" width="159" height="66" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="9">
      <input>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="function" args="2">step</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">int</e>
      </input>
      <result action="symbolic">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="42" left="648" top="1071" width="1145" height="130" 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: integrate(round((1+tanh(x-1))/2,0),x,0,2);
Answer: 
round: wrong number of arguments.
 -- an error. To debug this try: debugmode(true);
(%i14) 
Received bytes: 92
SMath get: error($[Maxima]:  round: wrong number of arguments.  -- an error. To debug this try: debugmode(true); (%i14) $)</e>
      </result>
    </math>
  </region>
  <region id="43" left="18" top="1152" width="176" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p underline="true">Lineare Interpolation</p>
    </text>
    <text lang="eng">
      <p underline="true">linear interpolation</p>
    </text>
  </region>
  <region id="44" left="18" top="1188" width="60" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">n</e>
        <e type="operand">10</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="45" left="99" top="1188" width="140" height="51" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">1</e>
        <e type="operand">10</e>
        <e type="operand">n</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">1</e>
        <e type="operator" args="2">≠</e>
        <e type="operand">n</e>
        <e type="operand">n</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="2">while</e>
      </input>
    </math>
  </region>
  <region id="46" left="252" top="1188" width="84" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">ε</e>
        <e type="operand">10</e>
        <e type="operand">n</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="47" left="18" top="1242" width="296" height="82" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">x.0</e>
        <e type="function" args="2">step</e>
        <e type="operand">x.0</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">ε</e>
        <e type="operator" args="1">-</e>
        <e type="operand">ε</e>
        <e type="operator" args="1">+</e>
        <e type="operand">1</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">mat</e>
        <e type="operator" args="2">+</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">mat</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="3">linterp</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="48" left="342" top="1242" width="163" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" args="2">step</e>
      </input>
      <result action="numeric">
        <e type="operand">0.4737</e>
      </result>
    </math>
  </region>
  <region id="49" left="495" top="1242" width="142" height="98" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="3.138428376721" scale_y="3.138428376721" scale_z="3.138428376721" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-24" transpose_y="-16" transpose_z="0">
      <input>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="function" args="2">step</e>
      </input>
    </plot>
  </region>
  <region id="50" left="18" top="1323" width="460" height="99" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="function" args="2">step</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">int</e>
      </input>
      <result action="symbolic">
        <e type="operand">0</e>
        <e type="operand">999999999999999</e>
        <e type="operand">1000000000000000</e>
        <e type="operator" args="2">/</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">mat</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">mat</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="3">linterp</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">int</e>
      </result>
    </math>
  </region>
  <region id="51" left="648" top="1323" width="1351" 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: integrate(linterp(matrix([0],[999999999999999/1000000000000000],[1000000000000001/1000000000000000],[2]),matrix([0],[0],[1],[1]),x),x,0,2);
Answer: 
(%s15) 'integrate(linterp(matrix([0],[999999999999999/1000000000000000],[1000000000000001/1000000000000000],[2]),matrix([0],[0],[1],[1]),x),x,0,2)
(%i16) 
Received bytes: 155
SMath get: int(linterp(mat(0;999999999999999/1000000000000000;1000000000000001/1000000000000000;2;4;1);mat(0;0;1;1;4;1);x);x;0;2)</e>
      </result>
    </math>
  </region>
  <region id="52" left="18" top="1404" width="103" 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="53" left="18" top="1422" 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="54" left="18" top="1458" width="450" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p italic="true">$Author: mkraska $
$Date: 2013-12-01 23:13:16 +0100 (So, 01. Dez 2013) $ </p>
    </text>
  </region>
  <region id="55" left="18" top="1512" width="1367" height="523" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand" style="string">all</e>
        <e type="function" preserve="true" args="1">MaximaLog</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">pid=8488
Maxima 5.31.1-1 http://maxima.sourceforge.net
using Lisp GNU Common Lisp (GCL) GCL 2.6.8 (a.k.a. GCL)
Distributed under the GNU Public License. See the file COPYING.
Dedicated to the memory of William Schelter.
The function bug_report() provides bug reporting information.
(%i1) load($C:/Users/Kraska/AppData/Roaming/SMath/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/1.0.5076.19716/load.mac$)$
(%i2) load($C:/Users/Kraska/AppData/Roaming/SMath/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/1.0.5076.19716/smath.lisp$)$
(%i3) load($C:/Users/Kraska/AppData/Roaming/SMath/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/1.0.5076.19716/smath.mac$)$
(%i4) to_sm_display()$
(%i5) integrate(x&gt;1,x,0,2);
(%s5) 'integrate(x &gt; 1,x,0,2)
(%i6) integrate(x&gt;1,x,0,2);
(%s6) 'integrate(x &gt; 1,x,0,2)
(%i7) integrate((1+signum(x-1))/2,x,0,2);
(%s7) 1
(%i8) integrate((x-1+abs(x-1))/(2*(x-1)),x,0,2);Principal Value
integrate((1+signum(-1+x))/2,x,0,2);(%s8) 1
(%i9) 
(%s9) 1
(%i10) integrate((1+signum(-1+x))/2,x,0,2);
(%s10) 1
(%i11) integrate(x&gt;=1,x,0,2);
(%s11) 'integrate(x &gt;= 1,x,0,2)
(%i12) integrate(x&gt;=1,x,0,2);
(%s12) 'integrate(x &gt;= 1,x,0,2)
(%i13) integrate(round((1+tanh(x-1))/2,0),x,0,2);
round: wrong number of arguments.
 -- an error. To debug this try: debugmode(true);
(%i14) integrate(linterp(1+matrix([-1],[-1/1000000000000000],[1/1000000000000000],[1]),matrix([0],[0],[1],[1]),x),x,0,2);
(%s14) 'integrate(linterp(matrix([0],[999999999999999/1000000000000000],[1000000000000001/1000000000000000],[2]),matrix([0],[0],[1],[1]),x),x,0,2)
(%i15) integrate(linterp(matrix([0],[999999999999999/1000000000000000],[1000000000000001/1000000000000000],[2]),matrix([0],[0],[1],[1]),x),x,0,2);
(%s15) 'integrate(linterp(matrix([0],[999999999999999/1000000000000000],[1000000000000001/1000000000000000],[2]),matrix([0],[0],[1],[1]),x),x,0,2)
(%i16) </e>
      </result>
    </math>
  </region>
</regions>