﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.98.6179.21440"?>
<regions>
  <settings>
    <identity>
      <id>b42a228f-8aba-4442-baa5-3cfe3ca3df33</id>
      <revision>5</revision>
    </identity>
    <calculation>
      <precision>15</precision>
      <exponentialThreshold>12</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="49" bottom="49" />
      <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="1.1.6281.4594" guid="18dadffd-79a3-4cf9-aee1-d66deb0ea720" />
      <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" />
      <assembly name="Plot Region" version="1.9.6179.21450" guid="c451c2b5-798b-4f08-b9ec-b90963d1ddaa" />
    </dependencies>
  </settings>
  <region id="0" left="27" top="0" width="358" height="28" color="#000000" bgColor="#ffffff" fontSize="12">
    <text lang="eng">
      <p>these factors change with situation</p>
    </text>
  </region>
  <region id="1" left="414" top="0" width="332" height="30" color="#000000" bgColor="#ffffff" fontSize="12">
    <math decimalPlaces="4">
      <input>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="1">appVersion</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">0.98.6179.21440</e>
      </result>
    </math>
  </region>
  <region id="2" left="270" top="27" width="101" height="49" color="#000000" bgColor="#ffffff" fontSize="12">
    <math decimalPlaces="4">
      <input>
        <e type="operand">Aa</e>
        <e type="operand">0.7</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="3" left="594" top="36" width="79" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand" style="unit">g.e</e>
        <e type="operand">9.81</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="4" left="72" top="54" width="79" height="28" color="#000000" bgColor="#ffffff" fontSize="12">
    <math decimalPlaces="4">
      <input>
        <e type="operand">C1</e>
        <e type="operand">2.1</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="5" left="495" top="54" width="49" height="28" color="#000000" bgColor="#ffffff" fontSize="12">
    <math decimalPlaces="4">
      <input>
        <e type="operand">d</e>
        <e type="operand">4</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="6" left="594" top="63" width="89" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand" preserve="false" style="unit">g.e</e>
      </input>
      <result action="numeric">
        <e type="operand">9.81</e>
      </result>
    </math>
  </region>
  <region id="7" left="261" top="72" width="101" height="49" color="#000000" bgColor="#ffffff" fontSize="12">
    <math decimalPlaces="4">
      <input>
        <e type="operand">Ab</e>
        <e type="operand">0.5</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="8" left="72" top="81" width="79" height="28" color="#000000" bgColor="#ffffff" fontSize="12">
    <math decimalPlaces="4">
      <input>
        <e type="operand">C2</e>
        <e type="operand">0.6</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="9" left="36" top="126" width="507" height="28" color="#000000" bgColor="#ffffff" fontSize="12">
    <text lang="eng">
      <p>case function to select appropriate characteristic</p>
    </text>
  </region>
  <region id="10" left="27" top="153" width="636" height="84" color="#000000" bgColor="#ffffff" fontSize="12">
    <math decimalPlaces="4">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">C1</e>
        <e type="operand">Aa</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">9.81</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand">1.5</e>
        <e type="operator" args="2">≤</e>
        <e type="operand">C2</e>
        <e type="operand">Ab</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">9.81</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand">d</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operand">C2</e>
        <e type="operand">Ab</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">9.81</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand">d</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operand">C1</e>
        <e type="operand">Aa</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">9.81</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">≤</e>
        <e type="operand">C2</e>
        <e type="operand">Ab</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">9.81</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand">d</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="5">cases</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="11" left="45" top="279" width="586" height="48" color="#000000" bgColor="#ffffff" fontSize="12">
    <text lang="eng">
      <p>but these give the right result, though i need to add somemore conditions</p>
    </text>
  </region>
  <region id="12" left="27" top="333" width="444" height="163" color="#000000" bgColor="#ffffff" fontSize="12">
    <math decimalPlaces="4">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">g</e>
        <e type="operand">x</e>
        <e type="operand">1.5</e>
        <e type="operator" args="2">≤</e>
        <e type="operand">C2</e>
        <e type="operand">Ab</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">9.81</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand">d</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operand">C1</e>
        <e type="operand">Aa</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">9.81</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">≤</e>
        <e type="operand">C2</e>
        <e type="operand">Ab</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">9.81</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand">d</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operand">C1</e>
        <e type="operand">Aa</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">9.81</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="3">if</e>
        <e type="operand">C2</e>
        <e type="operand">Ab</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">9.81</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand">d</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="3">if</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="13" left="576" top="342" width="41" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">#</e>
        <e type="operand">#</e>
        <e type="operator" args="2">≤</e>
      </input>
    </math>
  </region>
  <region id="14" left="666" top="342" width="41" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">#</e>
        <e type="operand">#</e>
        <e type="operator" args="2">≥</e>
      </input>
    </math>
  </region>
  <region id="15" left="585" top="387" width="266" height="35" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">C2</e>
        <e type="operand">Ab</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand" preserve="false" style="unit">g.e</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand">d</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operand">C1</e>
        <e type="operand">Aa</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand" preserve="false" style="unit">g.e</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">≤</e>
      </input>
    </math>
  </region>
  <region id="16" left="585" top="423" width="58" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">1.5</e>
        <e type="operator" args="2">≤</e>
      </input>
    </math>
  </region>
  <region id="17" left="27" top="522" width="636" height="84" color="#000000" bgColor="#ffffff" fontSize="12">
    <math decimalPlaces="4">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">j</e>
        <e type="operand">C2</e>
        <e type="operand">Ab</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">9.81</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand">d</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operand">C2</e>
        <e type="operand">Ab</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">9.81</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand">d</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operand">C1</e>
        <e type="operand">Aa</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">9.81</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">≤</e>
        <e type="operand">C1</e>
        <e type="operand">Aa</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">9.81</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand">1.5</e>
        <e type="operator" args="2">≤</e>
        <e type="operand">C2</e>
        <e type="operand">Ab</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">9.81</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand">d</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="5">cases</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="18" left="72" top="648" width="449" height="221" color="#000000" bgColor="#ffffff" fontSize="12">
    <xyplot error="9" width="439" height="213" smoothing="false" points="100">
      <propertiessource index="1" sourcetype="PropertyGrid" />
      <grid gridcolor="LightGray" gridpattern="Dash" gridthickness="1" isxgrid="true" isygrid="true" />
      <xaxes xmin="-0.05694761" xmax="4.943052" xtick="0.5" numberformat="General" decimalplaces="3" />
      <yaxes ymin="0.09389672" ymax="20.0939" ytick="2" numberformat="General" decimalplaces="3" />
      <y2axes isy2axis="false" y2min="-1" y2max="1" y2tick="0.5" numberformat="General" decimalplaces="3" />
      <title2d title="" titlefont="Arial, 10pt" titlefontcolor="Black" />
      <xylabel labelfont="Arial, 10pt" labelfontcolor="Black" tickfont="Arial, 8pt" 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 />
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand" style="string" />
        <e type="operand" style="string" />
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
      </input>
    </xyplot>
  </region>
  <region id="19" left="9" top="972" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="0.950990049900001" scale_y="1.36463687587063" scale_z="1.97798520146256" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-73" transpose_y="-40" transpose_z="0">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">x</e>
        <e type="function" args="1">g</e>
        <e type="operand">x</e>
        <e type="function" args="1">j</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="20" left="252" top="972" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="0.950990049900001" scale_y="1.36463687587063" scale_z="1.97798520146256" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-73" transpose_y="-40" transpose_z="0">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">x</e>
        <e type="function" args="1">g</e>
        <e type="operand" style="string" />
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
      </input>
    </plot>
  </region>
  <region id="21" left="495" top="972" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="0.950990049900001" scale_y="1.36463687587063" scale_z="1.97798520146256" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-73" transpose_y="-40" transpose_z="0">
      <input>
        <e type="operand" style="string" />
        <e type="operand">x</e>
        <e type="function" args="1">g</e>
        <e type="operand" style="string" />
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
      </input>
    </plot>
  </region>
</regions>