﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.98.6179.21440"?>
<regions>
  <settings>
    <identity>
      <id>6a7f07a6-e22b-4512-b1a2-27bed1e0202e</id>
      <revision>7</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="Custom Functions" version="1.1.6100.11764" guid="18dadffd-79a3-4cf9-aee1-d66deb0ea720" />
      <assembly name="Special Functions" version="1.11.6179.21442" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="Maple Wrapper" version="1.0.6185.18812" guid="32dfd679-8cfd-483a-b79a-19d5ea838750" />
      <assembly name="Plot Region" version="1.9.6179.21450" guid="c451c2b5-798b-4f08-b9ec-b90963d1ddaa" />
    </dependencies>
  </settings>
  <region id="0" left="18" top="36" width="197" height="96" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Top" lang="eng">
        <p>Set integral accuracy 100for reasonable quick plot</p>
      </description>
      <input>
        <e type="operand">ε</e>
        <e type="operand">10</e>
        <e type="operand">13</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">:</e>
        <e type="operand">x</e>
        <e type="function" args="1">dilog</e>
        <e type="operand">t</e>
        <e type="function" preserve="true" args="1">ln</e>
        <e type="operand">1</e>
        <e type="operand">t</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">/</e>
        <e type="operand">t</e>
        <e type="operand">1</e>
        <e type="operand">ε</e>
        <e type="operator" args="2">+</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="4">int</e>
        <e type="operator" args="2">:</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">line</e>
      </input>
    </math>
  </region>
  <region id="1" left="306" top="36" width="288" height="89" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="15" trailingZeros="true">
      <description active="true" position="Top" lang="eng">
        <p>for high accuracy option =&gt;10000monster error dilog(0)</p>
      </description>
      <input>
        <e type="operand">ε</e>
        <e type="function" args="1">dilog</e>
        <e type="operand">0.5</e>
        <e type="function" args="1">dilog</e>
        <e type="operand">1</e>
        <e type="operand">ε</e>
        <e type="operator" args="2">+</e>
        <e type="function" args="1">dilog</e>
        <e type="operand">2</e>
        <e type="function" args="1">dilog</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">mat</e>
      </input>
      <result action="numeric">
        <e type="operand">1.681772587395960</e>
        <e type="operand">0.582240526467708</e>
        <e type="operand">0.000000000000000</e>
        <e type="operand">0.822467033428671</e>
        <e type="operator" args="1">-</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">mat</e>
      </result>
    </math>
  </region>
  <region id="2" left="18" top="189" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="3.138428376721" scale_y="3.4522712143931" scale_z="10.8347059433884" 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">dilog</e>
        <e type="operand">x</e>
        <e type="operator" args="1">-</e>
        <e type="function" args="1">dilog</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="3" left="306" top="189" width="378" height="97" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="15" trailingZeros="true">
      <description active="true" position="Top" lang="eng">
        <p>Sanity Maple is limited to those values only.Can't assign "maple(polylog(2,x))"</p>
      </description>
      <input>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="function" args="2">polylog</e>
        <e type="function" preserve="true" args="1">maple</e>
        <e type="operand">2</e>
        <e type="operand">0</e>
        <e type="function" args="2">polylog</e>
        <e type="function" preserve="true" args="1">maple</e>
        <e type="operand">2</e>
        <e type="operand">0.5</e>
        <e type="function" args="2">polylog</e>
        <e type="function" preserve="true" args="1">maple</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" args="2">polylog</e>
        <e type="function" preserve="true" args="1">maple</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">mat</e>
      </input>
      <result action="numeric">
        <e type="operand">0.822467033424113</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.000000000000000</e>
        <e type="operand">0.582240526465013</e>
        <e type="operand">1.644934066848230</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">mat</e>
      </result>
    </math>
  </region>
  <region id="4" left="306" top="333" width="243" height="28" color="#000000" bgColor="#ffe1e1" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">Dilog</e>
        <e type="operand">2</e>
        <e type="operand">x</e>
        <e type="function" args="2">polylog</e>
        <e type="function" preserve="true" args="1">maple</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="5" left="585" top="333" width="106" height="26" color="#000000" bgColor="#ffe1e1" fontSize="10">
    <math error="42">
      <input>
        <e type="operand">0</e>
        <e type="function" args="1">Dilog</e>
      </input>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="6" left="18" top="405" width="305" height="66" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="15">
      <description active="true" position="Right" lang="eng">
        <p>sanity -0.436172672304223acc 10000 =&gt; kaput in &gt; 1 hr ! ?</p>
      </description>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">dilog</e>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="operand">ε</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">int</e>
      </input>
      <result action="numeric">
        <e type="operand">0.436172672303169</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="7" left="18" top="486" width="328" height="83" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="eng">
        <p>Reference ... not to avail.Granular plot region [x ± 1]Limited  2 decimals applications.</p>
      </description>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">Dilog</e>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">k</e>
        <e type="operator" args="2">^</e>
        <e type="operand">k</e>
        <e type="operand">2</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">400</e>
        <e type="function" preserve="true" args="4">sum</e>
        <e type="operand">2</e>
        <e type="operator" args="1">-</e>
        <e type="operand">x</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">≤</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">&amp;</e>
        <e type="operand" style="string" />
        <e type="function" preserve="true" args="3">cases</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="8" left="18" top="576" width="329" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="3.36604507524903" scale_y="4.52546060116814" scale_z="3.10600023439128" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="2" transpose_y="-1" transpose_z="0">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">Dilog</e>
        <e type="operand">x</e>
        <e type="operator" args="1">-</e>
        <e type="function" args="1">Dilog</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="9" left="351" top="576" width="276" height="69" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="15" trailingZeros="true">
      <input>
        <e type="operand">2</e>
        <e type="operator" args="1">-</e>
        <e type="function" args="1">Dilog</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="function" args="1">Dilog</e>
        <e type="operand">0</e>
        <e type="function" args="1">Dilog</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
      </input>
      <result action="numeric">
        <e type="operand">0.822463916236565</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.000000000000000</e>
        <e type="operand">1.642437189244070</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
      </result>
    </math>
  </region>
  <region id="10" left="378" top="666" width="193" height="29" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">0.5</e>
        <e type="operator" args="1">-</e>
        <e type="function" args="1">Dilog</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">mat</e>
      </input>
      <result action="numeric">
        <e type="operand">0.5822</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">mat</e>
      </result>
    </math>
  </region>
  <region id="11" left="18" top="801" width="275" height="66" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="15">
      <description active="true" position="Right" lang="eng">
        <p>Not sanity checked</p>
      </description>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">dilog</e>
        <e type="operand">x</e>
        <e type="operand">ε</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">int</e>
      </input>
      <result action="numeric">
        <e type="operand">0.208891950135526</e>
      </result>
    </math>
  </region>
</regions>