﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.98.6179.21440"?>
<regions>
  <settings>
    <identity>
      <id>8be27f52-d4cb-4c69-9b01-32bf48dfd8b4</id>
      <revision>6</revision>
    </identity>
    <calculation>
      <precision>4</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="true" printAreas="true" simpleEqualsOnly="false" printBackgroundImages="true">
      <paper id="1" orientation="Portrait" width="850" height="1100" />
      <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>
    <dependencies>
      <assembly name="SMath Studio Desktop" version="0.98.6179.21440" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="Math Region" version="0.98.6179.21440" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="Special Functions" version="1.11.6179.21442" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="Text Region" version="1.10.6179.21446" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
      <assembly name="Plot Region" version="1.9.6179.21450" guid="c451c2b5-798b-4f08-b9ec-b90963d1ddaa" />
    </dependencies>
  </settings>
  <region id="0" left="9" top="36" width="143" height="44" color="#000000" bgColor="#ffe1e1" fontSize="10">
    <math>
      <input>
        <e type="operand">f</e>
        <e type="operand">x</e>
        <e type="function" args="2">D1</e>
        <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="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="1" left="198" top="36" width="179" height="58" color="#000000" bgColor="#ffe1e1" fontSize="10">
    <math>
      <input>
        <e type="operand">f</e>
        <e type="operand">n</e>
        <e type="operand">x</e>
        <e type="function" args="3">Dn</e>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">x</e>
        <e type="operand">n</e>
        <e type="function" preserve="true" args="3">diff</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="2" left="9" top="99" width="75" height="34" 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">3</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="3" left="198" top="99" width="132" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">f</e>
        <e type="operand">x</e>
        <e type="function" args="2">D1</e>
      </input>
      <result action="symbolic">
        <e type="operand">3</e>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="4" left="9" top="144" width="75" height="34" 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">5</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="5" left="198" top="144" width="164" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">f</e>
        <e type="operand">3</e>
        <e type="operand">x</e>
        <e type="function" args="3">Dn</e>
      </input>
      <result action="symbolic">
        <e type="operand">60</e>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="6" left="396" top="207" width="100" height="50" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">u</e>
        <e type="function" args="1">F</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="7" left="9" top="216" width="337" height="31" color="#000000" bgColor="#ffff80" fontSize="14">
    <text lang="eng">
      <p bold="true">3 equivalent representations</p>
    </text>
  </region>
  <region id="8" left="9" top="252" width="146" height="66" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">z</e>
        <e type="function" args="1">Int</e>
        <e type="operand">u</e>
        <e type="function" args="1">F</e>
        <e type="operand">u</e>
        <e type="operand">x</e>
        <e type="operator" args="1">-</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="4">int</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="9" left="189" top="261" width="250" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>1. ------- Transit the system                       plot/interpolate</p>
    </text>
  </region>
  <region id="10" left="9" top="315" width="145" height="66" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="6">
      <input>
        <e type="operand">z</e>
        <e type="operand">z</e>
        <e type="function" args="2">int</e>
        <e type="operand">u</e>
        <e type="function" args="1">F</e>
        <e type="operand">u</e>
        <e type="operand">x</e>
        <e type="operator" args="1">-</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="4">int</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="11" left="189" top="324" width="378" height="54" color="#ff0000" bgColor="#ffffff" fontSize="14">
    <text lang="eng">
      <p bold="true">2. ---- indefinite  Smath int(2)                       Not found 6179</p>
    </text>
  </region>
  <region id="12" left="9" top="378" width="129" height="66" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="6">
      <input>
        <e type="operand">z</e>
        <e type="function" args="1">∫</e>
        <e type="operand">u</e>
        <e type="function" args="1">F</e>
        <e type="operand">u</e>
        <e type="operand">x</e>
        <e type="operator" args="1">-</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="4">int</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="13" left="189" top="396" width="266" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>3. ------- Nice function symbol</p>
    </text>
  </region>
  <region id="14" left="9" top="450" width="83" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="6">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">∫</e>
        <e type="operand">z</e>
        <e type="function" args="1">∫</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="15" left="171" top="450" width="43" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="6">
      <input>
        <e type="operand">X</e>
        <e type="operand">4</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="16" left="234" top="450" width="131" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="6">
      <input>
        <e type="operand">X</e>
        <e type="function" args="1">∫</e>
      </input>
      <result action="numeric">
        <e type="operand">0.470588</e>
      </result>
    </math>
  </region>
  <region id="17" left="9" top="495" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="6.52768647333069" scale_y="1" scale_z="6.52768647333069" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="0" transpose_y="0" transpose_z="0">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">F</e>
        <e type="operand">x</e>
        <e type="function" args="1">Int</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
      </input>
    </plot>
  </region>
  <region id="18" left="252" top="495" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="6.52768647333069" scale_y="1" scale_z="6.52768647333069" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="0" transpose_y="0" transpose_z="0">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">F</e>
        <e type="operand">x</e>
        <e type="operand">x</e>
        <e type="function" args="2">int</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
      </input>
    </plot>
  </region>
  <region id="19" left="495" top="495" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="6.72749994932561" scale_y="0.941480149401001" scale_z="6.3338076573863" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="1" transpose_y="6" transpose_z="0">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">F</e>
        <e type="operand">x</e>
        <e type="function" args="1">∫</e>
        <e type="operand">X</e>
        <e type="operand">X</e>
        <e type="function" args="1">∫</e>
        <e type="operand" style="string">+</e>
        <e type="operand">15</e>
        <e type="operand" style="string">black</e>
        <e type="operand">1</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="7">mat</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
      </input>
    </plot>
  </region>
  <region id="20" left="18" top="747" width="202" height="477" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">c</e>
        <e type="operand">1</e>
        <e type="operand">0.5772156649015329</e>
        <e type="operand">0.6558780715202538</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.0420026350340952</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.1665386113822915</e>
        <e type="operand">0.0421977345555443</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.0096219715278770</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.0072189432466630</e>
        <e type="operand">0.0011651675918591</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.0002152416741149</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.0001280502823882</e>
        <e type="operand">0.0000201348547807</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.0000012504934821</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.0000011330272320</e>
        <e type="operand">0.0000002056338417</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.0000000061160950</e>
        <e type="operand">0.0000000050020075</e>
        <e type="operand">0.0000000011812746</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.0000000001043427</e>
        <e type="operand">0.0000000000077823</e>
        <e type="operand">0.0000000000036968</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.0000000000005100</e>
        <e type="operand">0.0000000000000206</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.0000000000000054</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.0000000000000014</e>
        <e type="operand">0.0000000000000001</e>
        <e type="operand">26</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="28">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="21" left="288" top="765" width="142" height="63" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">1</e>
        <e type="operand">z</e>
        <e type="function" args="1">Γ</e>
        <e type="operator" args="2">/</e>
        <e type="operand">c</e>
        <e type="operand">k</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">z</e>
        <e type="operand">k</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">k</e>
        <e type="operand">1</e>
        <e type="operand">∞</e>
        <e type="function" preserve="true" args="4">sum</e>
        <e type="operator" args="2">≡</e>
      </input>
    </math>
  </region>
  <region id="22" left="279" top="864" width="197" height="63" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">n</e>
        <e type="operand">z</e>
        <e type="function" args="2">Γpoly</e>
        <e type="operand">c</e>
        <e type="operand">k</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">z</e>
        <e type="operand">k</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">k</e>
        <e type="operand">1</e>
        <e type="operand">n</e>
        <e type="function" preserve="true" args="4">sum</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="23" left="279" top="936" width="287" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="15">
      <input>
        <e type="operand">12</e>
        <e type="operand">0.5</e>
        <e type="function" args="2">Γpoly</e>
      </input>
      <result action="numeric">
        <e type="operand">0.564189583637398</e>
      </result>
    </math>
  </region>
</regions>