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      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
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        <p>     M [30 x 30]</p>
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          <e type="operand">8.618</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.031</e>
          <e type="operand">0.035</e>
          <e type="operator" args="1">-</e>
          <e type="operand">8.618</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.022</e>
          <e type="operand">0.032</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.032</e>
          <e type="operand">0.045</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.044</e>
          <e type="operand">0.05</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.058</e>
          <e type="operand">0.048</e>
          <e type="operator" args="1">-</e>
          <e type="operand">8.618</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.041</e>
          <e type="operand">0.034</e>
          <e type="operator" args="1">-</e>
          <e type="operand">8.618</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.031</e>
          <e type="operand">0.035</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.044</e>
          <e type="operand">0.05</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.058</e>
          <e type="operand">0.048</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.065</e>
          <e type="operand">0.047</e>
          <e type="operand">8.618</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.046</e>
          <e type="operand">0.033</e>
          <e type="operand">8.618</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.041</e>
          <e type="operand">0.034</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.058</e>
          <e type="operand">0.048</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.065</e>
          <e type="operand">0.047</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.066</e>
          <e type="operand">0.056</e>
          <e type="operand">8.618</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.046</e>
          <e type="operand">0.039</e>
          <e type="operand">8.618</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.046</e>
          <e type="operand">0.033</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.065</e>
          <e type="operand">0.047</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.066</e>
          <e type="operand">0.056</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.067</e>
          <e type="operand">0.038</e>
          <e type="operator" args="1">-</e>
          <e type="operand">8.618</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.047</e>
          <e type="operand">0.027</e>
          <e type="operator" args="1">-</e>
          <e type="operand">8.618</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.046</e>
          <e type="operand">0.039</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.066</e>
          <e type="operand">0.056</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.065</e>
          <e type="operand">0.047</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.058</e>
          <e type="operand">0.048</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.044</e>
          <e type="operand">0.05</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.032</e>
          <e type="operand">0.045</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.022</e>
          <e type="operand">0.06</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.009</e>
          <e type="operand">0.032</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.009</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.059</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.025</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.03</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.034</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.068</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.044</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.016</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.057</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.066</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.066</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.01</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.068</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.07</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.066</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.068</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.07</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.066</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.01</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.057</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.066</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.044</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.016</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.034</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.068</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.025</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.03</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.009</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.059</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.009</e>
          <e type="operand">0.032</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.022</e>
          <e type="operand">0.06</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.032</e>
          <e type="operand">0.045</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.044</e>
          <e type="operand">0.05</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.058</e>
          <e type="operand">0.048</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.065</e>
          <e type="operand">0.047</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.066</e>
          <e type="operand">0.056</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.738</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.067</e>
          <e type="operand">0.038</e>
          <e type="operand">5370</e>
          <e type="operand">3</e>
          <e type="function" preserve="true" args="16112">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="2" top="144" color="#000000" bgColor="#ffffff">
      <area terminator="true" />
    </region>
  </region>
  <region id="3" left="54" top="171" width="407" height="40" border="true" color="#000000" bgColor="#ffffe1" fontSize="10">
    <text lang="eng">
      <p>In this document, [M 30 x 30] is calculated from Work Sheet "Rotate Breather [4 orientations].sm"</p>
    </text>
  </region>
  <region id="4" left="54" top="234" width="295" height="67" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <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="5" left="369" top="252" width="115" height="24" color="#000000" bgColor="#ffff80" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">step1</e>
        <e type="operand">0</e>
        <e type="operand">10</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="6" left="54" top="333" width="575" height="304" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot grid="false" axes="false" type="3d" render="lines" scale_x="2591.92785375048" scale_y="2591.92785375048" scale_z="2591.92785375048" rotate_x="0" rotate_y="-3" rotate_z="-2" transpose_x="0" transpose_y="0" transpose_z="0" animate="step1" frameRate="50">
      <description active="true" position="Top" lang="rus">
        <p>3d Plot region ... wait , then zoom ... not too nice !!!</p>
      </description>
      <input>
        <e type="operand">M</e>
        <e type="operand">π</e>
        <e type="operand">36</e>
        <e type="operator" args="2">/</e>
        <e type="operand">t</e>
        <e type="operator" args="2">*</e>
        <e type="function" args="1">Ω1</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">eval</e>
      </input>
    </plot>
  </region>
  <region id="7" left="54" top="729" width="314" height="31" color="#000000" bgColor="#80ffff" fontSize="14">
    <text lang="eng">
      <p bold="true">3D triplet vector rotation</p>
    </text>
  </region>
  <region id="8" left="423" top="729" width="198" height="31" color="#800000" bgColor="#ffffff" fontSize="14">
    <text lang="eng">
      <p bold="true">The Euler system</p>
    </text>
  </region>
  <region id="9" left="54" top="774" width="295" height="67" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <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="10" left="54" top="846" width="295" height="67" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <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="11" left="54" top="918" width="295" height="67" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <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="12" left="54" top="981" width="56" height="41" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">α</e>
        <e type="operand">π</e>
        <e type="operand">4</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="13" left="378" top="981" width="55" height="41" color="#000000" bgColor="#ffff80" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">θ</e>
        <e type="operand">π</e>
        <e type="operand">16</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="14" left="153" top="990" width="58" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <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="15" left="270" top="990" width="75" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">φ</e>
        <e type="operand">0.2</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="16" left="54" top="1080" width="202" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">γ</e>
        <e type="operand">α</e>
        <e type="function" args="1">Ω1</e>
        <e type="operand">β</e>
        <e type="function" args="1">Ω2</e>
        <e type="operator" args="2">*</e>
        <e type="operand">φ</e>
        <e type="function" args="1">Ω3</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">eval</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="17" left="54" top="1170" width="236" height="63" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">γ</e>
      </input>
      <result action="numeric">
        <e type="operand">0.809</e>
        <e type="operand">0.5878</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0.4156</e>
        <e type="operand">0.5721</e>
        <e type="operand">0.7071</e>
        <e type="operand">0.4156</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.5721</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.7071</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="18" left="306" top="1179" width="406" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>For plotting, 'step1' from plot menu [brush overclick right, Animate] check step1 option. </p>
    </text>
  </region>
  <region id="19" left="54" top="1242" width="354" height="55" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">M</e>
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