﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.98.6179.21440"?>
<regions>
  <settings>
    <identity>
      <id>941358dc-2521-4d5a-bd1a-5203d4f91bbd</id>
      <revision>3</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="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="Text Region" version="1.10.6179.21446" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
      <assembly name="X-Y Plot Region (Chart2DLib)" version="0.1.6104.16280" guid="c12231ec-4873-43c1-a7d0-a167ebd17066" />
    </dependencies>
    <mode debug="true" />
  </settings>
  <region id="0" left="18" top="0" width="177" height="513" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">XY</e>
        <e type="operand">6.5</e>
        <e type="operand">2.5</e>
        <e type="operand">6.52945</e>
        <e type="operand">2.45025</e>
        <e type="operand">6.5578</e>
        <e type="operand">2.401</e>
        <e type="operand">6.58505</e>
        <e type="operand">2.35225</e>
        <e type="operand">6.6112</e>
        <e type="operand">2.304</e>
        <e type="operand">6.63625</e>
        <e type="operand">2.25625</e>
        <e type="operand">6.6602</e>
        <e type="operand">2.209</e>
        <e type="operand">6.68305</e>
        <e type="operand">2.16225</e>
        <e type="operand">6.7048</e>
        <e type="operand">2.116</e>
        <e type="operand">6.72545</e>
        <e type="operand">2.07025</e>
        <e type="operand">6.745</e>
        <e type="operand">2.025</e>
        <e type="operand">6.76345</e>
        <e type="operand">1.98025</e>
        <e type="operand">6.7808</e>
        <e type="operand">1.936</e>
        <e type="operand">6.79705</e>
        <e type="operand">1.89225</e>
        <e type="operand">6.8122</e>
        <e type="operand">1.849</e>
        <e type="operand">6.82625</e>
        <e type="operand">1.80625</e>
        <e type="operand">6.8392</e>
        <e type="operand">1.764</e>
        <e type="operand">6.85105</e>
        <e type="operand">1.72225</e>
        <e type="operand">6.8618</e>
        <e type="operand">1.681</e>
        <e type="operand">6.87145</e>
        <e type="operand">1.64025</e>
        <e type="operand">6.88</e>
        <e type="operand">1.6</e>
        <e type="operand">6.88745</e>
        <e type="operand">1.56025</e>
        <e type="operand">6.8938</e>
        <e type="operand">1.521</e>
        <e type="operand">6.89905</e>
        <e type="operand">1.48225</e>
        <e type="operand">6.9032</e>
        <e type="operand">1.444</e>
        <e type="operand">6.90625</e>
        <e type="operand">1.40625</e>
        <e type="operand">6.9082</e>
        <e type="operand">1.369</e>
        <e type="operand">6.90905</e>
        <e type="operand">1.33225</e>
        <e type="operand">28</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="58">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="1" left="225" top="9" width="361" height="174" border="true" color="#000000" bgColor="#ffffe1" fontSize="10">
    <math exponentialThreshold="3">
      <input>
        <e type="operand">data</e>
        <e type="operand">n</e>
        <e type="function" args="2">Decimate</e>
        <e type="operand" style="string">every 'n' pairs</e>
        <e type="operand">range</e>
        <e type="operand">1</e>
        <e type="operand">data</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="operand">n</e>
        <e type="function" preserve="true" args="3">range</e>
        <e type="operator" args="2">:</e>
        <e type="operand">k</e>
        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
        <e type="operand">i</e>
        <e type="operand">range</e>
        <e type="operand">u</e>
        <e type="operand">k</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">data</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operator" args="2">:</e>
        <e type="operand">v</e>
        <e type="operand">k</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">data</e>
        <e type="operand">i</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operator" args="2">:</e>
        <e type="operand">k</e>
        <e type="operand">k</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">line</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">u</e>
        <e type="operand">v</e>
        <e type="function" preserve="true" args="2">augment</e>
        <e type="operand">5</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="7">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="2" left="225" top="189" width="310" height="189" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">XY</e>
        <e type="operand">XY</e>
        <e type="operand">4</e>
        <e type="function" args="2">Decimate</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="numeric">
        <e type="operand">6.5</e>
        <e type="operand">2.5</e>
        <e type="operand">6.585</e>
        <e type="operand">2.3522</e>
        <e type="operand">6.6602</e>
        <e type="operand">2.209</e>
        <e type="operand">6.7254</e>
        <e type="operand">2.0702</e>
        <e type="operand">6.7808</e>
        <e type="operand">1.936</e>
        <e type="operand">6.8262</e>
        <e type="operand">1.8062</e>
        <e type="operand">6.8618</e>
        <e type="operand">1.681</e>
        <e type="operand">6.8874</e>
        <e type="operand">1.5602</e>
        <e type="operand">6.9032</e>
        <e type="operand">1.444</e>
        <e type="operand">6.909</e>
        <e type="operand">1.3322</e>
        <e type="operand">10</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="22">mat</e>
      </result>
    </math>
  </region>
  <region id="3" left="216" top="378" width="230" height="29" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">X</e>
        <e type="operand">XY</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="operator" args="2">:</e>
        <e type="operand">Y</e>
        <e type="operand">XY</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">col</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="4" left="369" top="405" width="384" height="251" border="true" color="#000000" bgColor="#ffffc0" fontSize="10">
    <math optimize="2">
      <description active="true" position="Top" lang="eng">
        <p>Thiele table of inverse differences ... Carlos</p>
      </description>
      <input>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operand">Y</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">Table</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">Y</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">j</e>
        <e type="operand">2</e>
        <e type="operand">Y</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">i</e>
        <e type="operand">j</e>
        <e type="operand">Y</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">Table</e>
        <e type="operand">i</e>
        <e type="operand">j</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">X</e>
        <e type="operand">j</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">-</e>
        <e type="operand">Table</e>
        <e type="operand">j</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="operand">j</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">Table</e>
        <e type="operand">i</e>
        <e type="operand">j</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
        <e type="operand">cont</e>
        <e type="operand">j</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="operand">break</e>
        <e type="function" preserve="true" args="2">try</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operand">cont</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">K</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">Table</e>
        <e type="operand">i</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">line</e>
      </input>
    </math>
  </region>
  <region id="5" left="216" top="432" width="120" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">K</e>
        <e type="operand">K</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="2">round</e>
        <e type="function" preserve="true" args="1">vectorize</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="6" left="549" top="459" width="186" height="31" color="#000000" bgColor="#80ffff" fontSize="14">
    <text lang="eng">
      <p bold="true">... NUMERIC ...</p>
    </text>
  </region>
  <region id="7" left="216" top="468" width="122" height="189" color="#000000" bgColor="#e1ff80" fontSize="10">
    <math decimalPlaces="15">
      <input>
        <e type="operand">K</e>
      </input>
      <result action="numeric">
        <e type="operand">2.5</e>
        <e type="operand">0.57563</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2.99175</e>
        <e type="operand">0.27156</e>
        <e type="operator" args="1">-</e>
        <e type="operand">3.18517</e>
        <e type="operand">0.1411</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2.55337</e>
        <e type="operand">0.06736</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1.26915</e>
        <e type="operand">0.01433</e>
        <e type="operator" args="1">-</e>
        <e type="operand">10</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="12">mat</e>
      </result>
    </math>
  </region>
  <region id="8" left="9" top="684" width="221" height="31" color="#800000" bgColor="#ffffff" fontSize="14">
    <text lang="eng">
      <p bold="true">Recast the Project</p>
    </text>
  </region>
  <region id="9" left="369" top="684" width="55" height="50" color="#000000" bgColor="#ffffff">
    <picture>
      <raw format="png" encoding="base64">iVBORw0KGgoAAAANSUhEUgAAAC8AAAAqCAYAAAAj6gIfAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAABoSURBVGhD7dAxCsBACAXRvf9BvYaJRZqApcwK8+BbD56IyK07uZjxlPOqc/U613/eeIrxFOMpxlOMpxhPMZ6yPv6/j/GTjKd04cX4ScZTuvBi/CTjKV14MX6S8ZQuvBg/yfgbLY7PfABivFJzGlIQEAAAAABJRU5ErkJggg==</raw>
    </picture>
  </region>
  <region id="10" left="306" top="702" width="103" height="24" color="#000000" bgColor="#e1ff80" fontSize="10">
    <text lang="eng">
      <p bold="true">isolate 'K'</p>
    </text>
  </region>
  <region id="11" left="9" top="720" width="301" height="231" border="true" color="#000000" bgColor="#ffffe1" fontSize="10">
    <math optimize="2">
      <description active="true" position="Top" lang="eng">
        <p>Thiele on length of support points 'j'</p>
      </description>
      <input>
        <e type="operand">K</e>
        <e type="operand">X</e>
        <e type="operand">x</e>
        <e type="function" args="3">Cfr</e>
        <e type="operand">j</e>
        <e type="operand">K</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
        <e type="operand">N</e>
        <e type="operand">j</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">K</e>
        <e type="operand">j</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">:</e>
        <e type="operand">c</e>
        <e type="operand">j</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">N</e>
        <e type="operand">j</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">:</e>
        <e type="operand">a</e>
        <e type="operand">j</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">K</e>
        <e type="operand">j</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">:</e>
        <e type="operand">jj</e>
        <e type="operand">j</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">c</e>
        <e type="operand">jj</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">a</e>
        <e type="operand">jj</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">:</e>
        <e type="operand">a</e>
        <e type="operand">jj</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">K</e>
        <e type="operand">jj</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="operand">X</e>
        <e type="operand">jj</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">-</e>
        <e type="operand">c</e>
        <e type="operand">jj</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">/</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">line</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">a</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">6</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="8">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="12" left="333" top="747" width="112" height="189" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">K</e>
        <e type="operand">2.5</e>
        <e type="operand">0.57563</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2.99175</e>
        <e type="operand">0.27156</e>
        <e type="operator" args="1">-</e>
        <e type="operand">3.18517</e>
        <e type="operand">0.1411</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2.55337</e>
        <e type="operand">0.06736</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1.26915</e>
        <e type="operand">0.01433</e>
        <e type="operator" args="1">-</e>
        <e type="operand">10</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="12">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="13" left="459" top="747" width="156" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="eng">
        <p>SYMBOLIC</p>
      </description>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">Cf</e>
        <e type="operand">K</e>
        <e type="operand">X</e>
        <e type="operand">x</e>
        <e type="function" args="3">Cfr</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="14" left="459" top="783" width="141" height="229" color="#000000" bgColor="#ffffff" fontSize="10" showInputData="False">
    <xyplot width="131" height="221" smoothing="false" points="100">
      <propertiessource index="1" sourcetype="PropertyGrid" />
      <grid gridcolor="LightGray" gridpattern="Solid" gridthickness="1" isxgrid="true" isygrid="true" />
      <xaxes xmin="6.5" xmax="6.909" xtick="0.25" numberformat="General" decimalplaces="3" />
      <yaxes ymin="1.25" ymax="2.5" ytick="0.5" numberformat="General" decimalplaces="3" />
      <y2axes isy2axis="false" y2min="-1" y2max="1" y2tick="0.5" numberformat="General" decimalplaces="3" />
      <title2d title="" titlefont="Arial, 12pt" titlefontcolor="Black" />
      <xylabel labelfont="Arial, 10pt" labelfontcolor="Black" tickfont="Courier New, 10pt" tickfontcolor="Black" xlabel="x" ylabel="y" y2label="y2" />
      <legend isbordervisible="true" islegendvisible="false" legendbackcolor="White" legendbordercolor="Black" legendfont="Arial, 8pt" legendposition="NorthEast" textcolor="Black" />
      <traces>
        <trace seriesname="" isy2data="false" isvisible="true" plotmethod="Lines" linecolor="Blue" linethickness="1" linepattern="Solid" symbolsize="8" symboltype="None" symbolborderthickness="1" symbolbordercolor="Black" symbolfillcolor="White" />
        <trace seriesname="" isy2data="false" isvisible="false" plotmethod="Lines" linecolor="Red" linethickness="1" linepattern="Solid" symbolsize="3" symboltype="Dot" symbolborderthickness="1" symbolbordercolor="Black" symbolfillcolor="Black" />
      </traces>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">Cf</e>
        <e type="operand">XY</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
      </input>
    </xyplot>
  </region>
  <region id="15" left="234" top="801" width="94" height="31" color="#000000" bgColor="#80ffff" fontSize="14">
    <text lang="eng">
      <p bold="true">NUMERIC</p>
    </text>
  </region>
  <region id="16" left="621" top="846" width="61" height="47" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">Cf</e>
        <e type="operand">XY</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
      </input>
    </math>
  </region>
</regions>