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    <identity>
      <id>6191e238-36af-43ec-a806-86adef8b580f</id>
      <revision>2</revision>
    </identity>
    <metadata lang="eng">
      <author>Martin Kraska</author>
    </metadata>
    <calculation>
      <precision>3</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <trailingZeros>false</trailingZeros>
      <significantDigitsMode>true</significantDigitsMode>
      <roundingMode>0</roundingMode>
      <approximateEqualAccuracy>7</approximateEqualAccuracy>
      <fractions>decimal</fractions>
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      <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 />
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  <regions type="content">
    <region left="0" top="0" width="242" height="128" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">eq</e>
          <e type="operand">4</e>
          <e type="operand">u.11</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="1">-</e>
          <e type="operand">u.21</e>
          <e type="operator" args="2">+</e>
          <e type="operand">u.12</e>
          <e type="operator" args="2">+</e>
          <e type="operand">4</e>
          <e type="operand">u.21</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="1">-</e>
          <e type="operand">u.11</e>
          <e type="operator" args="2">+</e>
          <e type="operand">u.22</e>
          <e type="operator" args="2">+</e>
          <e type="operand">4</e>
          <e type="operand">u.12</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="1">-</e>
          <e type="operand">u.22</e>
          <e type="operator" args="2">+</e>
          <e type="operand">1</e>
          <e type="operand">9</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="operand">u.11</e>
          <e type="operator" args="2">+</e>
          <e type="operand">4</e>
          <e type="operand">u.22</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="1">-</e>
          <e type="operand">2</e>
          <e type="operand">3</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="operand">u.12</e>
          <e type="operator" args="2">+</e>
          <e type="operand">4</e>
          <e type="operand">9</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="operand">u.21</e>
          <e type="operator" args="2">+</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">sys</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="243" top="9" width="173" height="105" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">eq</e>
          <e type="bracket">(</e>
          <e type="function" args="1">Unknowns</e>
        </input>
        <result action="symbolic">
          <e type="operand">u.11</e>
          <e type="operand">u.12</e>
          <e type="operand">u.21</e>
          <e type="operand">u.22</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
        </result>
      </math>
    </region>
    <region left="450" top="9" width="276" height="150" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">eq</e>
          <e type="operand">eq</e>
          <e type="function" args="1">Unknowns</e>
          <e type="function" args="2">Solve</e>
        </input>
        <result action="symbolic">
          <e type="operand">u.11</e>
          <e type="operand">1</e>
          <e type="operand">18</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">≡</e>
          <e type="operand">u.12</e>
          <e type="operand">1</e>
          <e type="operand">8</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">≡</e>
          <e type="operand">u.21</e>
          <e type="operand">7</e>
          <e type="operand">72</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">≡</e>
          <e type="operand">u.22</e>
          <e type="operand">1</e>
          <e type="operand">3</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">≡</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">sys</e>
        </result>
      </math>
    </region>
    <region left="0" top="135" width="225" height="30" color="#000000" fontSize="10">
      <math error="9">
        <input>
          <e type="operand">eq</e>
          <e type="operand">eq</e>
          <e type="bracket">(</e>
          <e type="function" args="1">Unknowns</e>
          <e type="function" args="2">Jacob</e>
        </input>
        <result action="symbolic">
          <e type="operand">#</e>
        </result>
      </math>
    </region>
    <region left="639" top="153" width="451" height="128" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">eq</e>
          <e type="function" args="1">matrix</e>
          <e type="function" args="1">transpose</e>
          <e type="function" args="1">ratexpand</e>
          <e type="function" args="1">Maxima</e>
        </input>
        <result action="none">
          <e type="operand">u.21</e>
          <e type="operand">u.12</e>
          <e type="operator" args="2">+</e>
          <e type="operand">4</e>
          <e type="operand">u.11</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="operand">u.22</e>
          <e type="operand">4</e>
          <e type="operand">u.21</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="operand">u.11</e>
          <e type="operator" args="2">+</e>
          <e type="operand">u.22</e>
          <e type="operand">4</e>
          <e type="operand">u.12</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="operand">u.11</e>
          <e type="operator" args="2">+</e>
          <e type="operand">1</e>
          <e type="operand">9</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="operand">4</e>
          <e type="operand">u.22</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="1">-</e>
          <e type="operand">u.21</e>
          <e type="operator" args="2">+</e>
          <e type="operand">u.12</e>
          <e type="operator" args="2">+</e>
          <e type="operand">10</e>
          <e type="operand">9</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
        </result>
      </math>
    </region>
    <region left="0" top="162" width="429" height="130" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">u.21</e>
          <e type="operand">u.12</e>
          <e type="operator" args="2">+</e>
          <e type="operand">4</e>
          <e type="operand">u.11</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="operand">u.22</e>
          <e type="operand">4</e>
          <e type="operand">u.21</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="operand">u.11</e>
          <e type="operator" args="2">+</e>
          <e type="operand">u.22</e>
          <e type="operand">4</e>
          <e type="operand">u.12</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="operand">u.11</e>
          <e type="operator" args="2">+</e>
          <e type="operand">1</e>
          <e type="operand">9</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="operand">4</e>
          <e type="operand">u.22</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="1">-</e>
          <e type="operand">u.21</e>
          <e type="operator" args="2">+</e>
          <e type="operand">u.12</e>
          <e type="operator" args="2">+</e>
          <e type="operand">10</e>
          <e type="operand">9</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
          <e type="operand">u.11</e>
          <e type="operand">u.21</e>
          <e type="operand">u.12</e>
          <e type="operand">u.22</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
          <e type="function" args="2">Jacob</e>
        </input>
        <result action="numeric">
          <e type="operand">4</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1</e>
          <e type="operand">1</e>
          <e type="operand">0</e>
          <e type="operand">1</e>
          <e type="operand">4</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">4</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1</e>
          <e type="operand">0</e>
          <e type="operand">1</e>
          <e type="operand">1</e>
          <e type="operand">4</e>
          <e type="operator" args="1">-</e>
          <e type="operand">4</e>
          <e type="operand">4</e>
          <e type="function" args="18">mat</e>
        </result>
      </math>
    </region>
    <region left="432" top="216" width="121" height="23" color="#000000" fontSize="10" isBreakable="false">
      <text lang="eng" fontFamily="Arial" fontSize="10">
        <content>
          <p>needs two vectors</p>
        </content>
      </text>
    </region>
    <region left="639" top="297" width="449" height="146" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">eq</e>
          <e type="function" args="1">matrix</e>
          <e type="function" args="1">transpose</e>
          <e type="function" args="1">Maxima</e>
        </input>
        <result action="none">
          <e type="operand">u.21</e>
          <e type="operand">u.12</e>
          <e type="operator" args="2">+</e>
          <e type="operand">4</e>
          <e type="operand">u.11</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="operand">u.22</e>
          <e type="operand">4</e>
          <e type="operand">u.21</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="operand">u.11</e>
          <e type="operator" args="2">+</e>
          <e type="operand">9</e>
          <e type="operand">u.22</e>
          <e type="operand">4</e>
          <e type="operand">u.12</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="operand">u.11</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">1</e>
          <e type="operator" args="2">+</e>
          <e type="operand">9</e>
          <e type="operator" args="2">/</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="operand">9</e>
          <e type="operand">u.22</e>
          <e type="operator" args="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">3</e>
          <e type="operand">u.21</e>
          <e type="operand">u.12</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</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="operator" args="2">+</e>
          <e type="operand">9</e>
          <e type="operator" args="2">/</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
        </result>
      </math>
    </region>
    <region left="0" top="306" width="289" height="107" color="#ff0000" fontSize="10">
      <math>
        <input>
          <e type="operand">eq</e>
          <e type="operand">u.11</e>
          <e type="operand">u.21</e>
          <e type="operand">u.12</e>
          <e type="operand">u.22</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
          <e type="function" args="2">Jacobian</e>
        </input>
        <result action="symbolic">
          <e type="operand">4</e>
          <e type="operator" args="1">-</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">4</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1</e>
          <e type="operand">1</e>
          <e type="operand">4</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0</e>
          <e type="operand">1</e>
          <e type="operand">0</e>
          <e type="operand">1</e>
          <e type="operand">1</e>
          <e type="operand">4</e>
          <e type="operator" args="1">-</e>
          <e type="operand">4</e>
          <e type="operand">4</e>
          <e type="function" args="18">mat</e>
        </result>
      </math>
    </region>
    <region left="441" top="342" width="165" height="38" color="#000000" fontSize="10" isBreakable="false">
      <text lang="eng" width="165" fontFamily="Arial" fontSize="10">
        <content>
          <p>is not picky about type of argument but is buggy</p>
        </content>
      </text>
    </region>
    <region left="0" top="432" width="420" height="112" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">eq</e>
          <e type="operand">u.11</e>
          <e type="operand">u.21</e>
          <e type="operand">u.12</e>
          <e type="operand">u.22</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
          <e type="function" args="1">mat2sys</e>
          <e type="function" args="2">jacobian</e>
          <e type="function" args="1">Maxima</e>
        </input>
        <result action="symbolic">
          <e type="operand">4</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1</e>
          <e type="operand">1</e>
          <e type="operand">0</e>
          <e type="operand">1</e>
          <e type="operand">4</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">4</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1</e>
          <e type="operand">0</e>
          <e type="operand">1</e>
          <e type="operand">1</e>
          <e type="operand">4</e>
          <e type="operator" args="1">-</e>
          <e type="operand">4</e>
          <e type="operand">4</e>
          <e type="function" args="18">mat</e>
        </result>
      </math>
    </region>
    <region left="594" top="459" width="225" height="128" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">u.11</e>
          <e type="operand">u.21</e>
          <e type="operand">u.12</e>
          <e type="operand">u.22</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
          <e type="function" args="1">transpose</e>
          <e type="function" args="1">args</e>
          <e type="operand">1</e>
          <e type="function" args="2">el</e>
          <e type="function" args="1">Maxima</e>
        </input>
        <result action="symbolic">
          <e type="operand">u.11</e>
          <e type="operand">u.21</e>
          <e type="operand">u.12</e>
          <e type="operand">u.22</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">sys</e>
        </result>
      </math>
    </region>
    <region left="423" top="468" width="200" height="53" color="#000000" fontSize="10" isBreakable="false">
      <text lang="eng" fontFamily="Arial" fontSize="10">
        <content>
          <p>needs two lists<br /><br />Here we convert on SMath side</p>
        </content>
      </text>
    </region>
    <region left="0" top="549" width="422" height="130" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">eq</e>
          <e type="operand">u.11</e>
          <e type="operand">u.21</e>
          <e type="operand">u.12</e>
          <e type="operand">u.22</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
          <e type="function" args="1">transpose</e>
          <e type="function" args="1">args</e>
          <e type="operand">1</e>
          <e type="function" args="2">el</e>
          <e type="function" args="2">jacobian</e>
          <e type="function" args="1">Maxima</e>
        </input>
        <result action="symbolic">
          <e type="operand">4</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1</e>
          <e type="operand">1</e>
          <e type="operand">0</e>
          <e type="operand">1</e>
          <e type="operand">4</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">4</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1</e>
          <e type="operand">0</e>
          <e type="operand">1</e>
          <e type="operand">1</e>
          <e type="operand">4</e>
          <e type="operator" args="1">-</e>
          <e type="operand">4</e>
          <e type="operand">4</e>
          <e type="function" args="18">mat</e>
        </result>
      </math>
    </region>
    <region left="423" top="585" width="119" height="38" color="#000000" fontSize="10" isBreakable="false">
      <text lang="eng" width="119" fontFamily="Arial" fontSize="10">
        <content>
          <p>Here we convert on Maxima side</p>
        </content>
      </text>
    </region>
  </regions>
</worksheet>