﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.98.6179.21440"?>
<regions>
  <settings>
    <identity>
      <id>3a846296-15ac-4787-b93c-4c9aadce59c6</id>
      <revision>2</revision>
    </identity>
    <calculation>
      <precision>6</precision>
      <exponentialThreshold>12</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="Picture Region" version="1.10.6179.21444" guid="06b5df04-393e-4be7-9107-305196fcb861" />
      <assembly name="Special Functions" version="1.11.6179.21442" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="Maple Wrapper" version="1.0.6328.1700" guid="32dfd679-8cfd-483a-b79a-19d5ea838750" />
      <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>
    <mode debug="true" />
  </settings>
  <region id="0" left="288" top="9" width="80" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">ε</e>
        <e type="operand">10</e>
        <e type="operand">12</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="1" left="9" top="18" width="260" height="116" border="true" color="#000000" bgColor="#e1ffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">L</e>
        <e type="operand">Δ</e>
        <e type="operand">N</e>
        <e type="function" args="3">inc</e>
        <e type="operand">X</e>
        <e type="operand">0</e>
        <e type="operator" args="2">:</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operand">N</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">X</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">L</e>
        <e type="operand">Δ</e>
        <e type="operand">i</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="operand">X</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">L</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>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">X</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="2" left="288" top="36" width="68" height="24" color="#000000" bgColor="#ffe1e1" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">N</e>
        <e type="operand">1000</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="3" left="369" top="36" width="67" height="29" color="#000000" bgColor="#ffffff">
    <picture>
      <raw format="png" encoding="base64">iVBORw0KGgoAAAANSUhEUgAAADsAAAAVCAYAAAD4g5b1AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAC5SURBVFhH5ZRRCoQwDAUX8f4nlu2iEJDHGND2hcUOzI+amgHx0ybiiN2+W5nrsuJ1h0pZ7B4Z0n2Hij32HPnaWIoM6XmHyvBYilNpzqEyLJairqR5h0p3LMW4pPdnKo9jaRm3tEemcjuWlqiS9slUjlg6+A0qjz5jOrhC2iVT6fpB0UJOaYdMpSs2pMUy6QyHypDYkMJImnWoDI0NKfAszThULLEhhe7G/WqsseFUseFfxM7CRLGt/QDEBged7UtWcwAAAABJRU5ErkJggg==</raw>
    </picture>
  </region>
  <region id="4" left="441" top="36" width="253" height="24" color="#000000" bgColor="#ffe1e1" fontSize="10">
    <text lang="eng">
      <p bold="true">be generous in the arc region </p>
    </text>
  </region>
  <region id="5" left="288" top="63" width="117" height="27" color="#000000" bgColor="#ffe1e1" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">L</e>
        <e type="operand">ε</e>
        <e type="operator" args="2">:</e>
        <e type="operand">H</e>
        <e type="operand">2.25</e>
        <e type="operator" args="2">:</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
      </input>
    </math>
  </region>
  <region id="6" left="288" top="90" width="153" height="43" color="#000000" bgColor="#e1ffff" fontSize="10">
    <math decimalPlaces="4">
      <description active="true" position="Right" lang="eng">
        <p>'N' increment start/end @ fnct limits</p>
      </description>
      <input>
        <e type="operand">ω</e>
        <e type="operand">L</e>
        <e type="operand">H</e>
        <e type="operand">L</e>
        <e type="operator" args="2">-</e>
        <e type="operand">N</e>
        <e type="operator" args="2">/</e>
        <e type="operand">N</e>
        <e type="function" args="3">inc</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="7" left="9" top="144" width="78" height="81" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">β</e>
        <e type="operand">0.5</e>
        <e type="operand">0.75</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</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>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="8" left="117" top="144" width="446" height="54" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math fractionType="fraction" decimalPlaces="4">
      <description active="true" position="Top" lang="eng">
        <p>Undisclosed model wrt application</p>
      </description>
      <input>
        <e type="operand">x</e>
        <e type="operand">β</e>
        <e type="function" args="2">f</e>
        <e type="operand">β</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="operand">β</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operand">β</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</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="operand">1</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="1">ln</e>
        <e type="operator" args="2">+</e>
        <e type="operand">x</e>
        <e type="operand">β</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="1">-</e>
        <e type="function" preserve="true" args="1">exp</e>
        <e type="operator" args="2">+</e>
        <e type="operand">β</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="2">el</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="9" left="9" top="234" width="310" height="112" border="true" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math optimize="2" fractionType="auto">
      <description active="true" position="Top" lang="eng">
        <p>Tabulate a discrete function </p>
      </description>
      <input>
        <e type="operand">f</e>
        <e type="operand">ω</e>
        <e type="function" args="2">Myfnct</e>
        <e type="operand">j</e>
        <e type="operand">2</e>
        <e type="operand">ω</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">U</e>
        <e type="operand">j</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">ω</e>
        <e type="operand">j</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">β</e>
        <e type="function" args="2">f</e>
        <e type="operator" args="2">:</e>
        <e type="operand">U</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">L</e>
        <e type="operand">β</e>
        <e type="function" args="2">f</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>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">ω</e>
        <e type="operand">U</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="2">round</e>
        <e type="function" preserve="true" args="1">vectorize</e>
        <e type="function" preserve="true" args="2">augment</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="10" left="333" top="234" width="317" height="74" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">Table</e>
        <e type="operand">f</e>
        <e type="operand">ω</e>
        <e type="function" args="2">Myfnct</e>
        <e type="operator" args="2">:</e>
        <e type="operand">vx</e>
        <e type="operand">Table</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="operator" args="2">:</e>
        <e type="operand">vy</e>
        <e type="operand">Table</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">:</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
        <e type="operand">x</e>
        <e type="function" args="1">interpolated</e>
        <e type="operand">vx</e>
        <e type="operand">vy</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="3">linterp</e>
        <e type="operator" args="2">:</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
      </input>
    </math>
  </region>
  <region id="11" left="333" top="315" width="325" height="60" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">Table</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">row</e>
        <e type="operand">Table</e>
        <e type="operand">N</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="2">row</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
        <e type="operand">10</e>
        <e type="operand">12</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">13.6316</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
        <e type="operand">2.25</e>
        <e type="operand">3.1049</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="12" left="333" top="378" width="126" height="24" color="#000000" bgColor="#ffe1e1" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">u</e>
        <e type="operand">0.123456789</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="13" left="459" top="378" width="28" height="31" color="#000000" bgColor="#ffffff">
    <picture>
      <raw format="png" encoding="base64">iVBORw0KGgoAAAANSUhEUgAAABQAAAAXCAYAAAALHW+jAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAA9SURBVEhLY/hPZcAABCCCbIwOKHLhqIFgMGogaWCEGoiMwWJgkkxAUwNhYIQYiAxGDSQNoBsGAlQ28P9/ACFKisraGHSGAAAAAElFTkSuQmCC</raw>
    </picture>
  </region>
  <region id="14" left="9" top="414" width="223" height="324" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4" matrixOptions="0,0,2,16">
      <input>
        <e type="operand">Table</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
        <e type="operand">10</e>
        <e type="operand">12</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">13.6316</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.0023</e>
        <e type="operand">2.8649</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.0045</e>
        <e type="operand">2.5188</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.0068</e>
        <e type="operand">2.3165</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.009</e>
        <e type="operand">2.1731</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.0113</e>
        <e type="operand">2.062</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.0135</e>
        <e type="operand">1.9713</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.0158</e>
        <e type="operand">1.8947</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.018</e>
        <e type="operand">1.8285</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.0203</e>
        <e type="operand">1.7701</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.0225</e>
        <e type="operand">1.7179</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.0248</e>
        <e type="operand">1.6708</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.027</e>
        <e type="operand">1.6278</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.0293</e>
        <e type="operand">1.5883</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.0315</e>
        <e type="operand">1.5518</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.0338</e>
        <e type="operand">1.5178</e>
        <e type="operator" args="1">-</e>
        <e type="operand">16</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="34">mat</e>
      </result>
    </math>
  </region>
  <region id="15" left="360" top="414" width="206" height="26" color="#000000" bgColor="#ffe1e1" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">u</e>
        <e type="function" args="1">interpolated</e>
      </input>
      <result action="numeric">
        <e type="operand">0.893</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="16" left="324" top="450" width="402" height="414" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="points" scale_x="9.13304162729563" scale_y="11.2753600336983" scale_z="8.64044363032653" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="2" transpose_y="1" transpose_z="0">
      <input>
        <e type="operand">vy</e>
        <e type="operand">vx</e>
        <e type="function" preserve="true" args="2">augment</e>
        <e type="operand">Table</e>
        <e type="operand">u</e>
        <e type="operand">u</e>
        <e type="function" args="1">interpolated</e>
        <e type="operand" style="string">+</e>
        <e type="operand">20</e>
        <e type="operand" style="string">blue</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="17" left="18" top="1035" width="371" height="31" color="#000000" bgColor="#80ffff" fontSize="14">
    <text lang="eng">
      <p bold="true">Maple classical/direct inverser</p>
    </text>
  </region>
  <region id="18" left="18" top="1071" width="202" height="54" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">x</e>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="function" args="3">q</e>
        <e type="operand">1</e>
        <e type="operand">x</e>
        <e type="operand">b</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="1">-</e>
        <e type="function" preserve="true" args="1">exp</e>
        <e type="bracket">(</e>
        <e type="operand">a</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="19" left="18" top="1125" width="349" height="43" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">y</e>
        <e type="operand">x</e>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="function" args="3">q</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">solve</e>
        <e type="function" preserve="true" args="1">maple</e>
      </input>
      <result action="symbolic">
        <e type="operand">1</e>
        <e type="operand">y</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="1">ln</e>
        <e type="operand">b</e>
        <e type="operator" args="2">*</e>
        <e type="operand">a</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="20" left="18" top="1179" width="205" height="43" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">y</e>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="function" args="3">sol</e>
        <e type="operand">1</e>
        <e type="operand">y</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="1">ln</e>
        <e type="operand">b</e>
        <e type="operator" args="2">*</e>
        <e type="operand">a</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="21" left="18" top="1224" width="92" height="27" color="#000000" bgColor="#ffffff" fontSize="10">
    <math fractionType="auto">
      <input>
        <e type="operand">a</e>
        <e type="operand">2</e>
        <e type="operator" args="2">:</e>
        <e type="operand">b</e>
        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
      </input>
    </math>
  </region>
  <region id="22" left="135" top="1224" width="119" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math fractionType="auto">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">middle</e>
        <e type="operand">b</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="23" left="18" top="1260" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="8.14027493868398" scale_y="13.1099941915" scale_z="106.71895716336" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-15" transpose_y="-11" transpose_z="0">
      <input>
        <e type="operand">x</e>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="function" args="3">q</e>
        <e type="operand">x</e>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="function" args="3">sol</e>
        <e type="operand">x</e>
        <e type="function" args="1">middle</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
      </input>
    </plot>
  </region>
</regions>