﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.98.6179.21440"?>
<regions>
  <settings>
    <identity>
      <id>1ad90501-7b8b-41eb-a9c3-9ab3d783b41b</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="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="3D Plot Region (Chart3DLib)" version="0.1.5997.41808" guid="2427d808-1e5e-4ae0-88bf-bc271664a3ab" />
      <assembly name="Special Functions" version="1.11.6179.21442" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="Plot Region" version="1.9.6179.21450" guid="c451c2b5-798b-4f08-b9ec-b90963d1ddaa" />
    </dependencies>
    <mode debug="true" />
  </settings>
  <region id="0" left="9" top="18" width="417" height="98" border="true" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math optimize="2" decimalPlaces="3">
      <input>
        <e type="operand">u</e>
        <e type="operand">v</e>
        <e type="function" args="2">Horn</e>
        <e type="operand">2</e>
        <e type="operand">v</e>
        <e type="operand">u</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
        <e type="operand">v</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="2">*</e>
        <e type="operand">v</e>
        <e type="operand">u</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">v</e>
        <e type="operand">u</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
        <e type="operand">v</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">v</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">+</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>
        <e type="operand">HORN</e>
        <e type="operand">u</e>
        <e type="operand">v</e>
        <e type="function" args="2">Horn</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">20</e>
        <e type="operand">20</e>
        <e type="function" preserve="true" args="7">CreateMesh</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>
      </input>
    </math>
  </region>
  <region id="1" left="432" top="18" width="94" height="63" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math>
      <description active="true" position="Top" lang="eng">
        <p>User/orient.</p>
      </description>
      <input>
        <e type="operand">γ</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">3</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="11">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="2" left="567" top="63" width="68" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="15">
      <input>
        <e type="operand">zoom</e>
        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="3" left="9" top="126" width="356" height="51" border="true" color="#000000" bgColor="#ffffe1" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">HORN</e>
        <e type="function" args="1">Orient</e>
        <e type="operand">B</e>
        <e type="operand">HORN</e>
        <e type="operand">zoom</e>
        <e type="operator" args="2">*</e>
        <e type="operand">γ</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">eval</e>
        <e type="operator" args="2">:</e>
        <e type="operand">B</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="operand">B</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">col</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">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="4" left="360" top="126" width="298" height="66" color="#000000" bgColor="#ffff80" fontSize="10">
    <math decimalPlaces="3">
      <description active="true" position="Right" lang="eng">
        <p>Lovely views</p>
      </description>
      <input>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">3</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="11">mat</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">3</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="11">mat</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">3</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="11">mat</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">3</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="11">mat</e>
        <e type="operand">#</e>
        <e type="operand">1</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="7">mat</e>
      </input>
    </math>
  </region>
  <region id="5" left="9" top="198" width="417" height="270" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="3.18128614836743" scale_y="3.18128614836743" scale_z="6.19942671731675" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-1" transpose_y="1" transpose_z="0" animate="step1" frameRate="10">
      <description active="true" position="Top" lang="eng">
        <p>"User"  orientations, the 4 quadrants ready to display.</p>
      </description>
      <input>
        <e type="operand">HORN</e>
        <e type="function" args="1">Orient</e>
      </input>
    </plot>
  </region>
  <region id="6" top="567" color="#000000" bgColor="#ffffff">
    <area collapsed="true">
      <title lang="eng">
        <p>     Earth     </p>
      </title>
    </area>
    <region id="7" left="54" top="594" width="43" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <math decimalPlaces="3">
        <input>
          <e type="operand">r</e>
          <e type="operand">1</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="8" left="54" top="621" width="218" height="69" color="#000000" bgColor="#ffffff" fontSize="10">
      <math decimalPlaces="3">
        <input>
          <e type="operand">u</e>
          <e type="operand">v</e>
          <e type="function" args="2">Sph</e>
          <e type="operand">r</e>
          <e type="operand">u</e>
          <e type="function" preserve="true" args="1">cos</e>
          <e type="operator" args="2">*</e>
          <e type="operand">v</e>
          <e type="function" preserve="true" args="1">sin</e>
          <e type="operator" args="2">*</e>
          <e type="operand">r</e>
          <e type="operand">u</e>
          <e type="function" preserve="true" args="1">sin</e>
          <e type="operator" args="2">*</e>
          <e type="operand">v</e>
          <e type="function" preserve="true" args="1">sin</e>
          <e type="operator" args="2">*</e>
          <e type="operand">r</e>
          <e type="operand">v</e>
          <e type="function" preserve="true" args="1">cos</e>
          <e type="operator" args="2">*</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="9" left="54" top="693" width="432" height="83" color="#000000" bgColor="#ffffff" fontSize="10">
      <math optimize="2" decimalPlaces="15">
        <input>
          <e type="operand">earth_N</e>
          <e type="operand">u</e>
          <e type="operand">v</e>
          <e type="function" args="2">Sph</e>
          <e type="operand">0</e>
          <e type="operand">2</e>
          <e type="operand">π</e>
          <e type="operator" args="2">*</e>
          <e type="operand">0</e>
          <e type="operand">π</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operand">12</e>
          <e type="operand">6</e>
          <e type="function" preserve="true" args="7">CreateMesh</e>
          <e type="operator" args="2">:</e>
          <e type="operand">earth_S</e>
          <e type="operand">u</e>
          <e type="operand">v</e>
          <e type="function" args="2">Sph</e>
          <e type="operand">0</e>
          <e type="operand">2</e>
          <e type="operand">π</e>
          <e type="operator" args="2">*</e>
          <e type="operand">π</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operand">π</e>
          <e type="operand">12</e>
          <e type="operand">6</e>
          <e type="function" preserve="true" args="7">CreateMesh</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="10" left="54" top="783" width="295" height="67" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">angle</e>
          <e type="function" args="1">Ω1</e>
          <e type="operand">1</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">angle</e>
          <e type="function" preserve="true" args="1">cos</e>
          <e type="operand">angle</e>
          <e type="function" preserve="true" args="1">sin</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0</e>
          <e type="operand">angle</e>
          <e type="function" preserve="true" args="1">sin</e>
          <e type="operand">angle</e>
          <e type="function" preserve="true" args="1">cos</e>
          <e type="operand">3</e>
          <e type="operand">3</e>
          <e type="function" preserve="true" args="11">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="11" left="54" top="855" width="295" height="67" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <description active="false" position="Right" lang="rus">
          <p>Матрица преобразования для поворота вокруг оси y</p>
        </description>
        <input>
          <e type="operand">angle</e>
          <e type="function" args="1">Ω2</e>
          <e type="operand">angle</e>
          <e type="function" preserve="true" args="1">cos</e>
          <e type="operand">0</e>
          <e type="operand">angle</e>
          <e type="function" preserve="true" args="1">sin</e>
          <e type="operand">0</e>
          <e type="operand">1</e>
          <e type="operand">0</e>
          <e type="operand">angle</e>
          <e type="function" preserve="true" args="1">sin</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0</e>
          <e type="operand">angle</e>
          <e type="function" preserve="true" args="1">cos</e>
          <e type="operand">3</e>
          <e type="operand">3</e>
          <e type="function" preserve="true" args="11">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="12" left="54" top="927" width="295" height="67" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <description active="false" position="Right" lang="rus">
          <p>Матрица преобразования для поворота вокруг оси z</p>
        </description>
        <input>
          <e type="operand">angle</e>
          <e type="function" args="1">Ω3</e>
          <e type="operand">angle</e>
          <e type="function" preserve="true" args="1">cos</e>
          <e type="operand">angle</e>
          <e type="function" preserve="true" args="1">sin</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0</e>
          <e type="operand">angle</e>
          <e type="function" preserve="true" args="1">sin</e>
          <e type="operand">angle</e>
          <e type="function" preserve="true" args="1">cos</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">1</e>
          <e type="operand">3</e>
          <e type="operand">3</e>
          <e type="function" preserve="true" args="11">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="13" left="423" top="963" width="84" height="24" color="#000000" bgColor="#ffff80" fontSize="10">
      <math decimalPlaces="3">
        <input>
          <e type="operand">FRAME</e>
          <e type="operand">24</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="14" left="54" top="999" width="56" height="41" color="#000000" bgColor="#ffffff" fontSize="10">
      <math evaluate="false">
        <input>
          <e type="operand">α</e>
          <e type="operand">π</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="1">-</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="15" left="252" top="999" width="47" height="41" color="#000000" bgColor="#ffffff" fontSize="10">
      <math evaluate="false" decimalPlaces="3">
        <input>
          <e type="operand">φ</e>
          <e type="operand">π</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="16" left="423" top="999" width="43" height="24" color="#000000" bgColor="#ffff80" fontSize="10">
      <math>
        <input>
          <e type="operand">θ</e>
          <e type="operand">1</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="17" left="153" top="1008" width="58" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <math evaluate="false">
        <input>
          <e type="operand">β</e>
          <e type="operand">0</e>
          <e type="operand">π</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="18" left="54" top="1053" width="202" height="63" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">γ</e>
          <e type="operand">0.733</e>
          <e type="operand">0.667</e>
          <e type="operand">0.133</e>
          <e type="operand">0.133</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.333</e>
          <e type="operand">0.933</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.667</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.667</e>
          <e type="operand">0.333</e>
          <e type="operand">3</e>
          <e type="operand">3</e>
          <e type="function" preserve="true" args="11">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="19" left="297" top="1053" width="214" height="63" color="#000000" bgColor="#ffffff" fontSize="10">
      <math decimalPlaces="2">
        <input>
          <e type="operand">γ</e>
        </input>
        <contract>
          <e type="operand" style="unit">°</e>
        </contract>
        <result action="numeric">
          <e type="operand">42</e>
          <e type="operand">38.22</e>
          <e type="operand">7.62</e>
          <e type="operand">7.62</e>
          <e type="operator" args="1">-</e>
          <e type="operand">19.08</e>
          <e type="operand">53.46</e>
          <e type="operator" args="1">-</e>
          <e type="operand">38.22</e>
          <e type="operator" args="1">-</e>
          <e type="operand">38.22</e>
          <e type="operand">19.08</e>
          <e type="operand">3</e>
          <e type="operand">3</e>
          <e type="function" preserve="true" args="11">mat</e>
        </result>
      </math>
    </region>
    <region id="20" left="54" top="1134" width="404" height="55" border="true" color="#000000" bgColor="#ffffe1" fontSize="10">
      <math>
        <input>
          <e type="operand">earth_N</e>
          <e type="operand">t</e>
          <e type="function" args="2">f</e>
          <e type="operand">t</e>
          <e type="function" args="1">B</e>
          <e type="operand">earth_N</e>
          <e type="operand">θ</e>
          <e type="operand">t</e>
          <e type="operator" args="2">*</e>
          <e type="function" args="1">Ω3</e>
          <e type="operator" args="2">*</e>
          <e type="operand">γ</e>
          <e type="operator" args="2">*</e>
          <e type="function" preserve="true" args="1">eval</e>
          <e type="operator" args="2">:</e>
          <e type="operand">t</e>
          <e type="function" args="1">B</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="2">col</e>
          <e type="operand">t</e>
          <e type="function" args="1">B</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="2">col</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">line</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="21" left="459" top="1134" width="128" height="45" color="#000000" bgColor="#ffffff" fontSize="10">
      <math decimalPlaces="3">
        <input>
          <e type="operand">Pole</e>
          <e type="operand">0</e>
          <e type="operand">1.25</e>
          <e type="operand">0</e>
          <e type="operand">1.25</e>
          <e type="operator" args="1">-</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="22" left="54" top="1197" width="404" height="55" border="true" color="#000000" bgColor="#ffffe1" fontSize="10">
      <math>
        <input>
          <e type="operand">earth_S</e>
          <e type="operand">t</e>
          <e type="function" args="2">f</e>
          <e type="operand">t</e>
          <e type="function" args="1">B</e>
          <e type="operand">earth_S</e>
          <e type="operand">θ</e>
          <e type="operand">t</e>
          <e type="operator" args="2">*</e>
          <e type="function" args="1">Ω3</e>
          <e type="operator" args="2">*</e>
          <e type="operand">γ</e>
          <e type="operator" args="2">*</e>
          <e type="function" preserve="true" args="1">eval</e>
          <e type="operator" args="2">:</e>
          <e type="operand">t</e>
          <e type="function" args="1">B</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="2">col</e>
          <e type="operand">t</e>
          <e type="function" args="1">B</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="2">col</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">line</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="23" top="1260" color="#000000" bgColor="#ffffff">
      <area terminator="true" />
    </region>
  </region>
  <region id="24" left="54" top="1296" width="140" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="false" position="Right" lang="eng">
        <p>disabled</p>
      </description>
      <input>
        <e type="operand">step1</e>
        <e type="operand">1</e>
        <e type="operand">FRAME</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="25" left="54" top="1323" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="5.55991731349224" scale_y="5.55991731349224" scale_z="5.55991731349224" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="0" transpose_y="0" transpose_z="0" animate="step1" frameRate="50">
      <description active="true" position="Top" lang="eng">
        <p>Earth around poles axis</p>
      </description>
      <input>
        <e type="operand">earth_N</e>
        <e type="operand">t</e>
        <e type="function" args="2">f</e>
        <e type="operand">earth_S</e>
        <e type="operand">t</e>
        <e type="function" args="2">f</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
      </input>
    </plot>
  </region>
</regions>