﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.99.6671.38791"?>
<regions xmlns="http://smath.info/schemas/worksheet/1.0">
  <settings dpi="96">
    <identity>
      <id>5e43524f-3e66-47f4-b95f-2e48dba9114c</id>
      <revision>8</revision>
    </identity>
    <calculation>
      <precision>4</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <trailingZeros>false</trailingZeros>
      <significantDigitsMode>false</significantDigitsMode>
      <roundingMode>0</roundingMode>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="false" viewMode="2" printGrid="False" 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>
    <dependencies>
      <assembly name="SMath Studio Desktop" version="0.99.6671.38791" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="Math Region" version="0.99.6671.38791" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="Special Functions" version="1.11.6671.38793" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="Text Region" version="1.10.6671.38794" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
      <assembly name="X-Y Plot Region (Chart2DLib)" version="0.1.6520.39122" guid="c12231ec-4873-43c1-a7d0-a167ebd17066" />
    </dependencies>
  </settings>
  <region id="0" left="18" top="18" width="453" height="147" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Top" lang="rus">
        <p>AlgLib Solver for a system of nonlinear equations(Uni)</p>
      </description>
      <input>
        <e type="operand">result</e>
        <e type="operand">k</e>
        <e type="operand">1</e>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="function" args="1">rows</e>
        <e type="function" args="2">range</e>
        <e type="operand">u</e>
        <e type="operand">k</e>
        <e type="function" args="2">el</e>
        <e type="operand">x</e>
        <e type="operand">k</e>
        <e type="function" args="2">el</e>
        <e type="operator" args="2">:</e>
        <e type="function" args="3">for</e>
        <e type="operand">x</e>
        <e type="function" args="1">Jac</e>
        <e type="operand">u</e>
        <e type="function" args="1">f</e>
        <e type="operand">u</e>
        <e type="function" args="2">Jacobian</e>
        <e type="operator" args="2">:</e>
        <e type="operand">StepMax</e>
        <e type="operand">0</e>
        <e type="operator" args="2">:</e>
        <e type="operand">Eps</e>
        <e type="operand">10</e>
        <e type="operand">14</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">:</e>
        <e type="operand">u</e>
        <e type="operand">X0</e>
        <e type="operand">StepMax</e>
        <e type="operand">Eps</e>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">x</e>
        <e type="function" args="1">Jac</e>
        <e type="function" args="5">al_nleqsolve</e>
        <e type="operator" args="2">:</e>
        <e type="operand">5</e>
        <e type="operand">1</e>
        <e type="function" args="7">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="1" left="477" top="18" width="288" height="107" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Top" lang="rus">
        <p>Approximation by random numbers</p>
      </description>
      <input>
        <e type="operand">X0</e>
        <e type="operand">u</e>
        <e type="operand">1</e>
        <e type="function" args="2">el</e>
        <e type="operand">0.1</e>
        <e type="operator" args="2">:</e>
        <e type="operand">i</e>
        <e type="operand">2</e>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="function" args="1">rows</e>
        <e type="function" args="2">range</e>
        <e type="operand">u</e>
        <e type="operand">i</e>
        <e type="function" args="2">el</e>
        <e type="operand">u</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="function" args="2">el</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" args="1">Random</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operand">1</e>
        <e type="function" args="2">el</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="function" args="3">for</e>
        <e type="operand">u</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" args="5">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="2" left="90" top="216" width="78" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">a</e>
        <e type="operand">0.025</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="3" left="171" top="216" width="78" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">r</e>
        <e type="operand">0.125</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="4" left="261" top="216" width="102" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">b</e>
        <e type="operand">0.000135</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="5" left="45" top="243" width="241" height="28" color="#000000" bgColor="#ffffff" fontSize="12">
    <text lang="rus">
      <p bold="true">1.System of 3 equations</p>
    </text>
  </region>
  <region id="6" left="45" top="279" width="453" height="69" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="function" args="2">el</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="function" args="2">el</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="operand">5</e>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="function" args="2">el</e>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="function" args="2">el</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="function" args="1">sin</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">-</e>
        <e type="operand">4</e>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="function" args="2">el</e>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="function" args="2">el</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="function" args="1">cos</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">-</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" args="4">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="7" left="45" top="369" width="130" height="45" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">X0</e>
      </input>
      <result action="numeric">
        <e type="operand">0.1</e>
        <e type="operand">0.0256</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="8" left="189" top="369" width="150" height="45" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">result</e>
      </input>
      <result action="numeric">
        <e type="operand">0.1124</e>
        <e type="operand">0.4396</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="9" left="360" top="369" width="239" height="54" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">result</e>
        <e type="function" args="1">f</e>
      </input>
      <result action="numeric">
        <e type="operand">1.0809</e>
        <e type="operand">10</e>
        <e type="operand">15</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="10" left="63" top="459" width="411" height="39" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" args="2">f</e>
        <e type="operand">x</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">y</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="operand">5</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="function" args="1">sin</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">-</e>
        <e type="operand">4</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="function" args="1">cos</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="11" left="81" top="522" width="515" height="385" color="#000000" bgColor="#ffffff" fontSize="10" showInputData="False">
    <xyplot width="505" height="377" smoothing="false" points="100">
      <propertiessource index="1" sourcetype="PropertyGrid" />
      <grid gridcolor="LightGray" gridpattern="Solid" gridthickness="1" isxgrid="true" isygrid="true" />
      <xaxes xmin="-1.5" xmax="1.5" xtick="1" numberformat="General" decimalplaces="3" />
      <yaxes ymin="-1.10592" ymax="1.10592" 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="true" plotmethod="Lines" linecolor="Red" linethickness="2" linepattern="Solid" symbolsize="12" symboltype="Plus" symbolborderthickness="2" symbolbordercolor="Red" symbolfillcolor="Red" />
      </traces>
      <input>
        <e type="operand">f</e>
        <e type="operand">result</e>
        <e type="function" args="1">transpose</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" args="4">sys</e>
      </input>
    </xyplot>
  </region>
</regions>