﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio" version="0.96"?>
<regions>
  <settings>
    <identity>
      <id>0f09ee03-f4db-418e-b8d8-cffac8069f15</id>
      <revision>2</revision>
    </identity>
    <calculation>
      <precision>4</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="true" printAreas="true" simpleEqualsOnly="false" printBackgroundImages="true">
      <paper id="9" orientation="Portrait" width="827" height="1169" />
      <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>
    <dependences>
      <assembly name="SMath Studio" version="0.96" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="Math Region" version="0.96" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="Special Functions" version="1.10.4868.42186" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="ALGLIB® - numerical analysis library" version="1.0.4874.30196" guid="8e40b49c-3681-4332-903d-751303860e7b" />
      <assembly name="Plot Region" version="1.8.4868.42174" guid="c451c2b5-798b-4f08-b9ec-b90963d1ddaa" />
    </dependences>
  </settings>
  <region id="0" left="45" top="36" width="60" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">M</e>
        <e type="operand">100</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="1" left="117" top="45" width="76" height="41" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">dx</e>
        <e type="operand">2</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
        <e type="operand">M</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="2" left="216" top="54" width="154" height="48" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">i</e>
        <e type="operand">0</e>
        <e type="operand">M</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">y</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">dx</e>
        <e type="operand">i</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="3">for</e>
      </input>
    </math>
  </region>
  <region id="3" left="378" top="54" width="77" height="62" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">f</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.01</e>
        <e type="operand">1</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="4" left="468" top="63" width="104" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">N</e>
        <e type="operand">f</e>
        <e type="function" preserve="true" args="1">length</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="5" left="45" top="90" width="97" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">t.0</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="1">time</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="6" left="45" top="117" width="259" height="41" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">dy</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operand">dx</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">/</e>
        <e type="operand">y</e>
        <e type="operand">M</e>
        <e type="operand">f</e>
        <e type="operand">N</e>
        <e type="function" preserve="true" args="4">al_convr1d</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="7" left="36" top="162" width="421" height="128" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="2.24087831910315" scale_y="2.45302245280626" scale_z="1.11539612174276" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-160" transpose_y="2" transpose_z="0">
      <input>
        <e type="operand">dx</e>
        <e type="operand">0</e>
        <e type="operand">M</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">y</e>
        <e type="function" preserve="true" args="2">augment</e>
        <e type="operand">dx</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">M</e>
        <e type="operand">N</e>
        <e type="operator" args="2">+</e>
        <e type="operand">3</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">dy</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">sys</e>
      </input>
    </plot>
  </region>
  <region id="8" left="45" top="342" width="126" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Δt</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="1">time</e>
        <e type="operand">t.0</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="9" left="207" top="342" width="108" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Δt</e>
      </input>
      <result action="numeric">
        <e type="operand">0.047</e>
        <e type="operand" style="unit">s</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="10" left="54" top="369" width="356" height="64" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">u</e>
        <e type="operand">2</e>
        <e type="operand">dx</e>
        <e type="operator" args="2">*</e>
        <e type="operand">dy</e>
        <e type="operand">M</e>
        <e type="operand">N</e>
        <e type="operator" args="2">+</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.01</e>
        <e type="operand">1</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
        <e type="operand">N</e>
        <e type="function" preserve="true" args="4">al_convr1dinv</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="11" left="441" top="369" width="266" height="64" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">u</e>
        <e type="operand">2</e>
        <e type="operand">dx</e>
        <e type="operator" args="2">*</e>
        <e type="operand">dy</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.01</e>
        <e type="operand">1</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
        <e type="function" preserve="true" args="2">al_convr1dinv</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="12" left="36" top="450" width="421" height="128" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="2.24087831910315" scale_y="2.45302245280626" scale_z="1.11539612174276" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-160" transpose_y="2" transpose_z="0">
      <input>
        <e type="operand">dx</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">M</e>
        <e type="operand">N</e>
        <e type="operator" args="2">+</e>
        <e type="operand">3</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">dy</e>
        <e type="function" preserve="true" args="2">augment</e>
        <e type="operand">dx</e>
        <e type="operand">0</e>
        <e type="operand">M</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">u</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">sys</e>
      </input>
    </plot>
  </region>
  <region id="13" left="36" top="630" width="164" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Δt.1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="1">time</e>
        <e type="operand">Δt</e>
        <e type="operator" args="2">-</e>
        <e type="operand">t.0</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="14" left="216" top="630" width="117" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Δt.1</e>
      </input>
      <result action="numeric">
        <e type="operand">0.063</e>
        <e type="operand" style="unit">s</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
</regions>