﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.98.6179.21440"?>
<regions>
  <settings>
    <identity>
      <id>963ba148-0c8c-4a80-ab02-8d6111ccf450</id>
      <revision>4</revision>
    </identity>
    <calculation>
      <precision>15</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="Special Functions" version="1.11.6179.21442" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="Writer Region" version="0.8.6150.16713" guid="5922d677-323f-4327-8c68-be902d8339ad" />
      <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="477" top="0" width="282" height="41" color="#000000" bgColor="#ffffff">
    <writer lang="eng"><![CDATA[<span style="font-family: 'Arial'; font-size: 10pt; font-weight: normal; font-style: normal; color: Black; background-color: Transparent; text-align: left; line-height: 115%">
<div><span style="font-family: 'Times New Roman'"><span style="font-size: 20pt"><strong><span style="text-decoration: underline"><span style="color: Red">Part 1</span></span></strong></span><span style="font-size: 14pt"><strong> </strong></span><span style="font-size: 16pt"><strong>subdivide X-integer </strong></span></span></div></span>]]></writer>
  </region>
  <region id="1" left="27" top="9" width="357" height="80" border="true" color="#000000" bgColor="#ffe1e1" fontSize="10">
    <math decimalPlaces="4">
      <description active="true" position="Top" lang="eng">
        <p>Subdivide a range in 'n' intervals ... demo</p>
      </description>
      <input>
        <e type="operand">n</e>
        <e type="operand">pivot</e>
        <e type="function" args="2">interval</e>
        <e type="operand">j</e>
        <e type="operand">1</e>
        <e type="operand">n</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">h</e>
        <e type="operand">j</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">pivot</e>
        <e type="operator" args="1">-</e>
        <e type="operand">pivot</e>
        <e type="operand">j</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">n</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">h</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="2" left="477" top="45" width="169" height="28" color="#000000" bgColor="#ffe1e1" fontSize="10">
    <math decimalPlaces="9">
      <input>
        <e type="operand">S</e>
        <e type="operand">10</e>
        <e type="operand">10</e>
        <e type="function" args="2">interval</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="3" left="477" top="81" width="235" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">negS</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="bracket">(</e>
        <e type="operand">S</e>
        <e type="operand">S</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="4" left="27" top="117" width="189" height="49" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">θ</e>
        <e type="function" args="1">rot</e>
        <e type="operand">θ</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operand">θ</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="1">-</e>
        <e type="operand">θ</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operand">θ</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operand">2</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="6">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="5" left="234" top="117" width="228" height="49" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">idx</e>
        <e type="operand">1</e>
        <e type="operand">New</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operator" args="2">:</e>
        <e type="operand">A</e>
        <e type="operand">0</e>
        <e type="operand">idx</e>
        <e type="operator" args="2">*</e>
        <e type="operand">10</e>
        <e type="operator" args="2">-</e>
        <e type="operand">New</e>
        <e type="function" preserve="true" args="2">augment</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>
      </input>
    </math>
  </region>
  <region id="6" left="477" top="117" width="162" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">New</e>
        <e type="operand">negS</e>
        <e type="operand">S</e>
        <e type="function" preserve="true" args="2">stack</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="7" left="27" top="180" width="349" height="45" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">plot1</e>
        <e type="operand">A</e>
        <e type="operand">A</e>
        <e type="operand">π</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="function" args="1">rot</e>
        <e type="operator" args="2">*</e>
        <e type="operand">A</e>
        <e type="operator" args="1">-</e>
        <e type="operand">A</e>
        <e type="operand">π</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="function" args="1">rot</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="function" preserve="true" args="4">stack</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="8" left="27" top="234" width="235" height="81" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">fence</e>
        <e type="operand">plot1</e>
        <e type="operand">plot1</e>
        <e type="operator" args="2">:</e>
        <e type="operand">plot075</e>
        <e type="operand">0.75</e>
        <e type="operand">plot1</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
        <e type="operand">plot05</e>
        <e type="operand">0.5</e>
        <e type="operand">plot1</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
        <e type="operand">plot025</e>
        <e type="operand">0.25</e>
        <e type="operand">plot1</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">sys</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="9" left="324" top="234" width="203" height="83" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math>
      <input>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operand">A</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">Fx</e>
        <e type="operand">2</e>
        <e type="operand">i</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">A</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">:</e>
        <e type="operand">Fy</e>
        <e type="operand">2</e>
        <e type="operand">i</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">A</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</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>
      </input>
    </math>
  </region>
  <region id="10" left="27" top="324" width="204" height="137" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">field</e>
        <e type="operand">fence</e>
        <e type="operand">radial</e>
        <e type="operand">radial</e>
        <e type="operator" args="1">-</e>
        <e type="operand">radial</e>
        <e type="operand">π</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="function" args="1">rot</e>
        <e type="operator" args="2">*</e>
        <e type="operand">radial</e>
        <e type="operand">π</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="function" args="1">rot</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">5</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="7">sys</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="11" left="324" top="324" width="194" height="26" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math>
      <input>
        <e type="operand">radial</e>
        <e type="operand">Fx</e>
        <e type="operand">Fy</e>
        <e type="function" preserve="true" args="2">augment</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="12" left="27" top="459" width="631" height="538" color="#000000" bgColor="#ffffff" fontSize="10">
    <xyplot width="621" height="530" smoothing="false" points="100">
      <propertiessource index="1" sourcetype="PropertyGrid" />
      <grid gridcolor="LightGray" gridpattern="Solid" gridthickness="1" isxgrid="true" isygrid="true" />
      <xaxes xmin="-12.5" xmax="12.5" xtick="5" numberformat="General" decimalplaces="3" />
      <yaxes ymin="-12.5" ymax="12.5" ytick="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="false" plotmethod="Lines" linecolor="Blue" linethickness="1" linepattern="Solid" symbolsize="4" symboltype="Dot" symbolborderthickness="1" symbolbordercolor="Black" symbolfillcolor="Black" />
        <trace seriesname="" isy2data="false" isvisible="false" plotmethod="Lines" linecolor="Red" linethickness="1" linepattern="Solid" symbolsize="4" symboltype="Dot" symbolborderthickness="1" symbolbordercolor="Black" symbolfillcolor="Black" />
        <trace seriesname="" isy2data="false" isvisible="false" plotmethod="Lines" linecolor="Green" linethickness="1" linepattern="Solid" symbolsize="3" symboltype="Dot" symbolborderthickness="1" symbolbordercolor="Black" symbolfillcolor="Black" />
        <trace seriesname="" isy2data="false" isvisible="false" plotmethod="Lines" linecolor="Fuchsia" linethickness="1" linepattern="Solid" symbolsize="2" symboltype="Dot" symbolborderthickness="1" symbolbordercolor="Black" symbolfillcolor="Black" />
        <trace seriesname="" isy2data="false" isvisible="true" plotmethod="Lines" linecolor="Violet" linethickness="1" linepattern="Solid" symbolsize="8" symboltype="None" symbolborderthickness="1" symbolbordercolor="Black" symbolfillcolor="White" />
        <trace seriesname="" isy2data="false" isvisible="true" plotmethod="Lines" linecolor="Lime" linethickness="1" linepattern="Solid" symbolsize="8" symboltype="None" symbolborderthickness="1" symbolbordercolor="Black" symbolfillcolor="White" />
        <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="true" plotmethod="Lines" linecolor="Red" linethickness="1" linepattern="Solid" symbolsize="8" symboltype="None" symbolborderthickness="1" symbolbordercolor="Black" symbolfillcolor="White" />
      </traces>
      <input>
        <e type="operand">field</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">sys</e>
      </input>
    </xyplot>
  </region>
</regions>