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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>48</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" />
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      <assembly name="Functions' Extension" version="0.0.5093.5251" guid="24c691c1-37f2-49e3-9a84-ccb77304d14a" />
      <assembly name="Special Functions" version="1.10.4909.6779" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
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  <region id="0" left="18" top="18" width="226" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p bold="true">Plugin FunctionsExtensions</p>
    </text>
    <text lang="eng">
      <p bold="true">Plugin Custom Functions</p>
    </text>
  </region>
  <region id="1" left="459" top="18" width="284" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Plugin index.sm">Anwendungserweiterungen (Plugins)</p>
    </text>
    <text lang="eng">
      <p href="Plugin index.sm">Plugins</p>
    </text>
  </region>
  <region id="2" left="459" top="36" width="61" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Handbook.sm">Inhalt</p>
    </text>
    <text lang="eng">
      <p href="Handbook.sm">Contents</p>
    </text>
  </region>
  <region id="3" left="18" top="54" width="406" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Zusätzliche Operatoren und zugehörige Funktionen</p>
    </text>
    <text lang="eng">
      <p>Collection of useful auxiliary functions</p>
    </text>
  </region>
  <region id="4" left="18" top="90" width="167" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Autor: Davide Carpi</p>
    </text>
    <text lang="eng">
      <p>Author: Davide Carpi</p>
    </text>
  </region>
  <region id="5" left="18" top="162" width="65" height="26" color="#000000" bgColor="#80ffff" fontSize="10">
    <math>
      <input>
        <e type="operand">3</e>
        <e type="function" args="1">lele</e>
      </input>
    </math>
  </region>
  <region id="6" left="135" top="162" width="174" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="function" preserve="true" args="3">lele</e>
      </input>
      <result action="symbolic">
        <e type="operand">a</e>
        <e type="operand">x</e>
        <e type="operator" args="2">≤</e>
        <e type="bracket">(</e>
        <e type="operand">x</e>
        <e type="operand">b</e>
        <e type="operator" args="2">≤</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">&amp;</e>
      </result>
    </math>
  </region>
  <region id="7" left="324" top="162" width="414" height="104" border="true" color="#000000" bgColor="#e0e0e0" fontSize="10">
    <text lang="eng">
      <p>- acronyms of the symbols involved
- names like HTML entities syntax: le, lt, ge, gt
'l' is for 'less'
'g' is for 'greater'
't' is for 'than'
'e' is for 'equal to'</p>
    </text>
  </region>
  <region id="8" left="18" top="198" width="65" height="26" color="#000000" bgColor="#80ffff" fontSize="10">
    <math>
      <input>
        <e type="operand">3</e>
        <e type="function" args="1">lelt</e>
      </input>
    </math>
  </region>
  <region id="9" left="135" top="198" width="174" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="function" preserve="true" args="3">lelt</e>
      </input>
      <result action="symbolic">
        <e type="operand">a</e>
        <e type="operand">x</e>
        <e type="operator" args="2">≤</e>
        <e type="bracket">(</e>
        <e type="operand">x</e>
        <e type="operand">b</e>
        <e type="operator" args="2">&lt;</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">&amp;</e>
      </result>
    </math>
  </region>
  <region id="10" left="18" top="234" width="65" height="26" color="#000000" bgColor="#80ffff" fontSize="10">
    <math>
      <input>
        <e type="operand">3</e>
        <e type="function" args="1">ltle</e>
      </input>
    </math>
  </region>
  <region id="11" left="135" top="234" width="174" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="function" preserve="true" args="3">ltle</e>
      </input>
      <result action="symbolic">
        <e type="operand">a</e>
        <e type="operand">x</e>
        <e type="operator" args="2">&lt;</e>
        <e type="bracket">(</e>
        <e type="operand">x</e>
        <e type="operand">b</e>
        <e type="operator" args="2">≤</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">&amp;</e>
      </result>
    </math>
  </region>
  <region id="12" left="18" top="270" width="65" height="26" color="#000000" bgColor="#80ffff" fontSize="10">
    <math>
      <input>
        <e type="operand">3</e>
        <e type="function" args="1">ltlt</e>
      </input>
    </math>
  </region>
  <region id="13" left="135" top="270" width="174" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="function" preserve="true" args="3">ltlt</e>
      </input>
      <result action="symbolic">
        <e type="operand">a</e>
        <e type="operand">x</e>
        <e type="operator" args="2">&lt;</e>
        <e type="bracket">(</e>
        <e type="operand">x</e>
        <e type="operand">b</e>
        <e type="operator" args="2">&lt;</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">&amp;</e>
      </result>
    </math>
  </region>
  <region id="14" left="324" top="270" width="412" height="56" border="true" color="#000000" bgColor="#d6d6d6" fontSize="10">
    <text lang="eng">
      <p>all functions are font-scalable:
* minor issues with font-size less than 10pt;        
* thickness scaling not available.</p>
    </text>
  </region>
  <region id="15" left="18" top="306" width="65" height="26" color="#000000" bgColor="#80ffff" fontSize="10">
    <math>
      <input>
        <e type="operand">3</e>
        <e type="function" args="1">gege</e>
      </input>
    </math>
  </region>
  <region id="16" left="135" top="306" width="174" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="function" preserve="true" args="3">gege</e>
      </input>
      <result action="symbolic">
        <e type="operand">a</e>
        <e type="operand">x</e>
        <e type="operator" args="2">≥</e>
        <e type="bracket">(</e>
        <e type="operand">x</e>
        <e type="operand">b</e>
        <e type="operator" args="2">≥</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">&amp;</e>
      </result>
    </math>
  </region>
  <region id="17" left="18" top="342" width="65" height="26" color="#000000" bgColor="#80ffff" fontSize="10">
    <math>
      <input>
        <e type="operand">3</e>
        <e type="function" args="1">gegt</e>
      </input>
    </math>
  </region>
  <region id="18" left="135" top="342" width="174" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="function" preserve="true" args="3">gegt</e>
      </input>
      <result action="symbolic">
        <e type="operand">a</e>
        <e type="operand">x</e>
        <e type="operator" args="2">≥</e>
        <e type="bracket">(</e>
        <e type="operand">x</e>
        <e type="operand">b</e>
        <e type="operator" args="2">&gt;</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">&amp;</e>
      </result>
    </math>
  </region>
  <region id="19" left="18" top="378" width="65" height="26" color="#000000" bgColor="#80ffff" fontSize="10">
    <math>
      <input>
        <e type="operand">3</e>
        <e type="function" args="1">gtge</e>
      </input>
    </math>
  </region>
  <region id="20" left="135" top="378" width="174" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="function" preserve="true" args="3">gtge</e>
      </input>
      <result action="symbolic">
        <e type="operand">a</e>
        <e type="operand">x</e>
        <e type="operator" args="2">&gt;</e>
        <e type="bracket">(</e>
        <e type="operand">x</e>
        <e type="operand">b</e>
        <e type="operator" args="2">≥</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">&amp;</e>
      </result>
    </math>
  </region>
  <region id="21" left="387" top="387" width="356" height="62" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">1.7</e>
        <e type="operand">50</e>
        <e type="operand" style="unit">°</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="2">pol2xy</e>
      </input>
      <result action="numeric">
        <e type="operand">1.0927</e>
        <e type="operand">2.0545</e>
        <e type="operand">10</e>
        <e type="operand">15</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">i</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operand">1.3023</e>
        <e type="operand">1.8262</e>
        <e type="operand">10</e>
        <e type="operand">15</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">i</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="22" left="18" top="414" width="65" height="26" color="#000000" bgColor="#80ffff" fontSize="10">
    <math>
      <input>
        <e type="operand">3</e>
        <e type="function" args="1">gtgt</e>
      </input>
    </math>
  </region>
  <region id="23" left="135" top="414" width="174" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="function" preserve="true" args="3">gtgt</e>
      </input>
      <result action="symbolic">
        <e type="operand">a</e>
        <e type="operand">x</e>
        <e type="operator" args="2">&gt;</e>
        <e type="bracket">(</e>
        <e type="operand">x</e>
        <e type="operand">b</e>
        <e type="operator" args="2">&gt;</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">&amp;</e>
      </result>
    </math>
  </region>
  <region id="24" left="18" top="468" width="111" height="40" color="#000000" bgColor="#80ffff" fontSize="10">
    <text lang="eng">
      <p>cases(2n+1)
n&gt;0 {3,5...}</p>
    </text>
  </region>
  <region id="25" left="135" top="468" width="119" height="43" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">a</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&gt;</e>
        <e type="operand">b</e>
        <e type="function" preserve="true" args="3">cases</e>
      </input>
    </math>
  </region>
  <region id="26" left="135" top="513" width="494" height="62" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">a</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&gt;</e>
        <e type="operand">b</e>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="operator" args="2">&lt;</e>
        <e type="operand">c</e>
        <e type="function" preserve="true" args="5">cases</e>
      </input>
      <result action="symbolic">
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&gt;</e>
        <e type="bracket">(</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≠</e>
        <e type="bracket">(</e>
        <e type="operand">a</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&gt;</e>
        <e type="bracket">(</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="operator" args="2">&lt;</e>
        <e type="bracket">(</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≠</e>
        <e type="bracket">(</e>
        <e type="operand">b</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="operator" args="2">&lt;</e>
        <e type="bracket">(</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operand">c</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="27" left="135" top="594" width="212" height="81" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">3</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&gt;</e>
        <e type="operand">2</e>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.5</e>
        <e type="operator" args="1">-</e>
        <e type="function" preserve="true" args="3">ltlt</e>
        <e type="operand">1</e>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">&lt;</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="function" preserve="true" args="7">cases</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="28" left="144" top="693" width="598" height="151" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="points" scale_x="0.936603548204364" scale_y="4.59188600334436" scale_z="1.60109164876313" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="80" transpose_y="-22" transpose_z="0">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
      </input>
    </plot>
  </region>
  <region id="29" left="18" top="882" width="496" height="40" border="true" color="#000000" bgColor="#80ff80" fontSize="10">
    <text lang="eng">
      <p>symbolic optimization (mainly useful to use with integrals)
* any not null condition is like a 'true' (by design)</p>
    </text>
  </region>
  <region id="30" left="18" top="927" width="494" height="62" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="false" position="Top" lang="eng">
        <p />
      </description>
      <input>
        <e type="operand">a</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&gt;</e>
        <e type="operand">b</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&lt;</e>
        <e type="operand">c</e>
        <e type="function" preserve="true" args="5">cases</e>
      </input>
      <result action="symbolic">
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&gt;</e>
        <e type="bracket">(</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≠</e>
        <e type="bracket">(</e>
        <e type="operand">a</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&gt;</e>
        <e type="bracket">(</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&lt;</e>
        <e type="bracket">(</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≠</e>
        <e type="bracket">(</e>
        <e type="operand">b</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&lt;</e>
        <e type="bracket">(</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operand">c</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="31" left="18" top="999" width="308" height="24" border="true" color="#000000" bgColor="#80ff80" fontSize="10">
    <text lang="eng">
      <p>optimization numeric: nested if/else</p>
    </text>
  </region>
  <region id="32" left="522" top="999" width="110" height="66" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="2">
      <description active="true" position="Top" lang="eng">
        <p>change f(x) optimization</p>
      </description>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">x</e>
        <e type="operand">3</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="4">int</e>
      </input>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="33" left="18" top="1026" width="494" height="62" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="false" position="Top" lang="eng">
        <p />
      </description>
      <input>
        <e type="operand">a</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&gt;</e>
        <e type="operand">b</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&lt;</e>
        <e type="operand">c</e>
        <e type="function" preserve="true" args="5">cases</e>
      </input>
      <result action="symbolic">
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&gt;</e>
        <e type="bracket">(</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≠</e>
        <e type="bracket">(</e>
        <e type="operand">a</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&gt;</e>
        <e type="bracket">(</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&lt;</e>
        <e type="bracket">(</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≠</e>
        <e type="bracket">(</e>
        <e type="operand">b</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&lt;</e>
        <e type="bracket">(</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operand">c</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="34" left="18" top="1098" width="307" height="24" border="true" color="#000000" bgColor="#80ff80" fontSize="10">
    <text lang="eng">
      <p>optimization none: no function calls</p>
    </text>
  </region>
  <region id="35" left="18" top="1125" width="251" height="62" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="false" position="Top" lang="eng">
        <p />
      </description>
      <input>
        <e type="operand">a</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&gt;</e>
        <e type="operand">b</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&lt;</e>
        <e type="operand">c</e>
        <e type="function" preserve="true" args="5">cases</e>
      </input>
      <result action="none">
        <e type="operand">a</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&gt;</e>
        <e type="operand">b</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&lt;</e>
        <e type="operand">c</e>
        <e type="function" preserve="true" args="5">cases</e>
      </result>
    </math>
  </region>
  <region id="36" left="18" top="1206" width="111" height="24" color="#000000" bgColor="#80ffff" fontSize="10">
    <text lang="eng">
      <p>Kronecker(2)</p>
    </text>
  </region>
  <region id="37" left="135" top="1206" width="173" height="43" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">i</e>
        <e type="operand">j</e>
        <e type="function" preserve="true" args="2">Kronecker</e>
      </input>
      <result action="none">
        <e type="operand">1</e>
        <e type="operand">i</e>
        <e type="operand">j</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">0</e>
        <e type="function" preserve="true" args="3">cases</e>
      </result>
    </math>
  </region>
  <region id="38" left="324" top="1206" width="111" height="56" border="true" color="#000000" bgColor="#80ff80" fontSize="10">
    <text lang="eng">
      <p>show cases()
on 'none'
optimization</p>
    </text>
  </region>
  <region id="39" left="450" top="1206" width="74" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">3</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">Kronecker</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
      </result>
    </math>
  </region>
  <region id="40" left="450" top="1233" width="74" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">3</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="2">Kronecker</e>
      </input>
      <result action="symbolic">
        <e type="operand">0</e>
      </result>
    </math>
  </region>
  <region id="41" left="135" top="1278" width="87" height="41" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">N</e>
        <e type="function" preserve="true" args="1">perc</e>
      </input>
      <result action="symbolic">
        <e type="operand">N</e>
        <e type="operand">100</e>
        <e type="operator" args="2">/</e>
      </result>
    </math>
  </region>
  <region id="42" left="18" top="1287" width="70" height="24" color="#000000" bgColor="#80ffff" fontSize="10">
    <text lang="eng">
      <p>perc(1)</p>
    </text>
  </region>
  <region id="43" left="135" top="1350" width="97" height="41" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">N</e>
        <e type="function" preserve="true" args="1">permil</e>
      </input>
      <result action="symbolic">
        <e type="operand">N</e>
        <e type="operand">1000</e>
        <e type="operator" args="2">/</e>
      </result>
    </math>
  </region>
  <region id="44" left="18" top="1359" width="86" height="24" color="#000000" bgColor="#80ffff" fontSize="10">
    <text lang="eng">
      <p>permil(1)</p>
    </text>
  </region>
  <region id="45" left="18" top="1431" width="61" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Ceil.sm">Ceil()</p>
    </text>
  </region>
  <region id="46" left="135" top="1431" width="80" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">3.1</e>
        <e type="function" preserve="true" args="1">Ceil</e>
      </input>
      <result action="numeric">
        <e type="operand">4</e>
      </result>
    </math>
  </region>
  <region id="47" left="234" top="1431" width="413" height="24" border="true" color="#000000" bgColor="#e0e0e0" fontSize="10">
    <text lang="eng">
      <p>* will be moved into the Statistical Tools Plugin</p>
    </text>
  </region>
  <region id="48" left="135" top="1458" width="80" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">3.9</e>
        <e type="function" preserve="true" args="1">Ceil</e>
      </input>
      <result action="numeric">
        <e type="operand">4</e>
      </result>
    </math>
  </region>
  <region id="49" left="18" top="1512" width="70" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Floor.sm">Floor()</p>
    </text>
  </region>
  <region id="50" left="135" top="1512" width="80" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">3.9</e>
        <e type="function" preserve="true" args="1">Floor</e>
      </input>
      <result action="numeric">
        <e type="operand">3</e>
      </result>
    </math>
  </region>
  <region id="51" left="234" top="1512" width="413" height="24" border="true" color="#000000" bgColor="#e0e0e0" fontSize="10">
    <text lang="eng">
      <p>* will be moved into the Statistical Tools Plugin</p>
    </text>
  </region>
  <region id="52" left="135" top="1539" width="80" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">3.1</e>
        <e type="function" preserve="true" args="1">Floor</e>
      </input>
      <result action="numeric">
        <e type="operand">3</e>
      </result>
    </math>
  </region>
  <region id="53" left="18" top="1674" width="70" height="24" color="#000000" bgColor="#cc94fe" fontSize="10">
    <text lang="eng">
      <p>grad(1)</p>
    </text>
  </region>
  <region id="54" left="135" top="1674" width="38" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">f</e>
        <e type="function" preserve="true" args="1">grad</e>
      </input>
    </math>
  </region>
  <region id="55" left="243" top="1674" width="185" height="24" border="true" color="#000000" bgColor="#e0e0e0" fontSize="10">
    <text lang="eng">
      <p>for writing math only</p>
    </text>
  </region>
  <region id="56" left="18" top="1710" width="70" height="24" color="#000000" bgColor="#cc94fe" fontSize="10">
    <text lang="eng">
      <p>grad(2)</p>
    </text>
  </region>
  <region id="57" left="135" top="1710" width="58" height="38" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">f</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">grad</e>
      </input>
    </math>
  </region>
  <region id="58" left="243" top="1710" width="185" height="24" border="true" color="#000000" bgColor="#e0e0e0" fontSize="10">
    <text lang="eng">
      <p>for writing math only</p>
    </text>
  </region>
  <region id="59" left="18" top="1764" width="70" height="24" color="#000000" bgColor="#cc94fe" fontSize="10">
    <text lang="eng">
      <p>lapl(1)</p>
    </text>
  </region>
  <region id="60" left="135" top="1764" width="46" height="30" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">f</e>
        <e type="function" preserve="true" args="1">lapl</e>
      </input>
    </math>
  </region>
  <region id="61" left="243" top="1764" width="185" height="24" border="true" color="#000000" bgColor="#e0e0e0" fontSize="10">
    <text lang="eng">
      <p>for writing math only</p>
    </text>
  </region>
  <region id="62" left="18" top="1800" width="70" height="24" color="#000000" bgColor="#cc94fe" fontSize="10">
    <text lang="eng">
      <p>lapl(2)</p>
    </text>
  </region>
  <region id="63" left="135" top="1800" width="63" height="38" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">f</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">lapl</e>
      </input>
    </math>
  </region>
  <region id="64" left="243" top="1800" width="185" height="24" border="true" color="#000000" bgColor="#e0e0e0" fontSize="10">
    <text lang="eng">
      <p>for writing math only</p>
    </text>
  </region>
  <region id="65" left="18" top="1845" width="53" height="24" color="#000000" bgColor="#cc94fe" fontSize="10">
    <text lang="eng">
      <p>at(2)</p>
    </text>
  </region>
  <region id="66" left="135" top="1845" width="85" height="62" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">z</e>
        <e type="function" args="1">f</e>
        <e type="operand">z</e>
        <e type="function" preserve="true" args="2">diff</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">at</e>
      </input>
    </math>
  </region>
  <region id="67" left="243" top="1845" width="185" height="24" border="true" color="#000000" bgColor="#e0e0e0" fontSize="10">
    <text lang="eng">
      <p>for writing math only</p>
    </text>
  </region>
  <region id="68" left="18" top="1908" width="53" height="24" color="#000000" bgColor="#cc94fe" fontSize="10">
    <text lang="eng">
      <p>at(3)</p>
    </text>
  </region>
  <region id="69" left="135" top="1908" width="85" height="62" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">diff</e>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="function" preserve="true" args="3">at</e>
      </input>
    </math>
  </region>
  <region id="70" left="243" top="1908" width="185" height="24" border="true" color="#000000" bgColor="#e0e0e0" fontSize="10">
    <text lang="eng">
      <p>for writing math only</p>
    </text>
  </region>
  <region id="71" left="243" top="1971" width="141" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <description active="true" position="Right" lang="eng">
        <p>example</p>
      </description>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">F</e>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="function" preserve="true" args="3">at</e>
        <e type="operand">b</e>
        <e type="function" args="1">F</e>
        <e type="operand">a</e>
        <e type="function" args="1">F</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="72" left="756" top="1980" width="337" 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: to_sm_display()$
Answer: 
(%i5) 
Received bytes: 7
SMath get: </e>
      </result>
    </math>
  </region>
  <region id="73" left="243" top="2025" width="100" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <description active="true" position="Right" lang="eng">
        <p>example</p>
      </description>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">a</e>
        <e type="function" preserve="true" args="2">at</e>
        <e type="operand">a</e>
        <e type="function" args="1">f</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="74" left="495" top="2025" width="78" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="function" args="2">at</e>
      </input>
    </math>
  </region>
  <region id="75" left="243" top="2088" width="240" height="82" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="0.555934613419797" scale_y="0.729" scale_z="0.405276333183032" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-1" transpose_y="1" transpose_z="0">
      <input>
        <e type="operand">z</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operand">x</e>
        <e type="function" args="2">at</e>
      </input>
    </plot>
  </region>
  <region id="76" left="495" top="2088" width="240" height="82" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="0.555934613419797" scale_y="0.707347971" scale_z="0.393239220811163" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-5" transpose_y="1" transpose_z="0">
      <input>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operand">2</e>
        <e type="operand">π</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">π</e>
        <e type="operator" args="2">+</e>
        <e type="function" args="3">at</e>
      </input>
    </plot>
  </region>
  <region id="77" left="18" top="2241" width="284" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Plugin index.sm">Anwendungserweiterungen (Plugins)</p>
    </text>
    <text lang="eng">
      <p href="Plugin index.sm">Plugins</p>
    </text>
  </region>
  <region id="78" left="18" top="2259" width="61" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Handbook.sm">Inhalt</p>
    </text>
    <text lang="eng">
      <p href="Handbook.sm">Contents</p>
    </text>
  </region>
  <region id="79" left="18" top="2304" width="450" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p italic="true">$Author: mkraska $
$Date: 2013-08-17 23:58:19 +0200 (Sa, 17. Aug 2013) $ </p>
    </text>
  </region>
</regions>