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      <title>Practical seminar venturi orifice</title>
      <author>Philipp Marx</author>
      <company>HTW Dresden</company>
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      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
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      <text lang="eng">
        <p>1. Venturi meter (after Bernoulli)</p>
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        <p>Geometry values venturi</p>
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        <p>Measured values</p>
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          <e type="operand">31.75</e>
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          <e type="operand">h.1</e>
          <e type="operand">400</e>
          <e type="operand">338</e>
          <e type="operand">280</e>
          <e type="operand">244</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
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          <e type="operand">h.2</e>
          <e type="operand">277.5</e>
          <e type="operand">240</e>
          <e type="operand">238</e>
          <e type="operand">231</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
          <e type="operand" style="unit">mm</e>
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          <e type="operand">h.3</e>
          <e type="operand">347</e>
          <e type="operand">304</e>
          <e type="operand">262</e>
          <e type="operand">237</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
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          <e type="operand">d.2</e>
          <e type="operand">15</e>
          <e type="operand" style="unit">mm</e>
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          <e type="operand">d.3</e>
          <e type="operand">31.75</e>
          <e type="operand" style="unit">mm</e>
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          <e type="operand">f</e>
          <e type="operand">π</e>
          <e type="operand">4</e>
          <e type="operator" args="2">/</e>
          <e type="operand">d.2</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operand">d.1</e>
          <e type="operand">4</e>
          <e type="operator" args="2">^</e>
          <e type="operand">d.2</e>
          <e type="operand">4</e>
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          <e type="operand">Q.control</e>
          <e type="operand">20</e>
          <e type="operand">15</e>
          <e type="operand">10</e>
          <e type="operand">5</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
          <e type="operand" style="unit">L</e>
          <e type="operand" style="unit">min</e>
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        <p>Flow coefficient</p>
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          <e type="operand">φ</e>
          <e type="operand">0.98</e>
          <e type="operator" args="2">:</e>
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        <p>Measured head difference</p>
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          <e type="operand">Δh.p</e>
          <e type="operand">h.1</e>
          <e type="operand">h.2</e>
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          <e type="operand">Δh.p</e>
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          <e type="operand">0.1225</e>
          <e type="operand" style="unit">m</e>
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          <e type="operand">0.098</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="operand">0.042</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="operand">0.013</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
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          <e type="operand">data</e>
          <e type="operand">Δh.p</e>
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        <p>Determine matrix rows</p>
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          <e type="operand">k</e>
          <e type="operand">1</e>
          <e type="operand">Δh.p</e>
          <e type="function" args="1">rows</e>
          <e type="function" args="2">range</e>
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          <e type="operand">Δh</e>
          <e type="function" args="1">Q</e>
          <e type="operand">φ</e>
          <e type="operand">f</e>
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          <e type="operand">d.1</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
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          <e type="operand">2</e>
          <e type="operand" style="unit">g.e</e>
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          <e type="operand">Δh</e>
          <e type="operator" args="2">*</e>
          <e type="function" args="1">sqrt</e>
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        <p>Flow formula</p>
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        <p>Apply matrix in Q formula</p>
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          <e type="operand">Q</e>
          <e type="operand">k</e>
          <e type="operand">1</e>
          <e type="function" args="3">el</e>
          <e type="operand">data</e>
          <e type="operand">k</e>
          <e type="operand">1</e>
          <e type="function" args="3">el</e>
          <e type="function" args="1">Q</e>
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        <p>Result calculated Q</p>
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          <e type="operand">Q</e>
          <e type="operand">k</e>
          <e type="operand">1</e>
          <e type="function" args="3">el</e>
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          <e type="operand" style="unit">L</e>
          <e type="operand" style="unit">min</e>
          <e type="operator" args="2">/</e>
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        <result action="numeric">
          <e type="operand">16.5</e>
          <e type="operand">14.8</e>
          <e type="operand">9.7</e>
          <e type="operand">5.4</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
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          <e type="operand">Q.control</e>
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        <contract>
          <e type="operand" style="unit">L</e>
          <e type="operand" style="unit">min</e>
          <e type="operator" args="2">/</e>
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          <e type="operand">20</e>
          <e type="operand">15</e>
          <e type="operand">10</e>
          <e type="operand">5</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
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        <p>Hydraulic losses </p>
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          <e type="operand">A.1</e>
          <e type="operand">d.1</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operand">4</e>
          <e type="operator" args="2">/</e>
          <e type="operand">π</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
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          <e type="operand">Area</e>
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    <region id="31" left="234" top="765" width="102" height="53" color="#000000" bgColor="#ffffff" fontSize="10">
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          <e type="operand">v.1</e>
          <e type="operand">Q.control</e>
          <e type="operand">A.1</e>
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        <p>Velocity at point 1 </p>
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        <p>Losses in engery</p>
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          <e type="operand">h.losses</e>
          <e type="operand">h.1</e>
          <e type="operand">h.3</e>
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          <e type="operand">v.1</e>
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          <e type="operand">0.421</e>
          <e type="operand" style="unit">m</e>
          <e type="operand" style="unit">s</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operand">0.3158</e>
          <e type="operand" style="unit">m</e>
          <e type="operand" style="unit">s</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operand">0.2105</e>
          <e type="operand" style="unit">m</e>
          <e type="operand" style="unit">s</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operand">0.1053</e>
          <e type="operand" style="unit">m</e>
          <e type="operand" style="unit">s</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>
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          <e type="operand">h.losses</e>
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          <e type="operand">0.053</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="operand">0.034</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="operand">0.018</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="operand">0.007</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
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          <e type="operand">ζ</e>
          <e type="operand">h.losses</e>
          <e type="operand">v.1</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operand">2</e>
          <e type="operand" style="unit">g.e</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">:</e>
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    <region id="38" left="54" top="1188" width="111" height="81" color="#000000" bgColor="#ffffff" fontSize="10">
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          <e type="operand">ζ</e>
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        <result action="numeric">
          <e type="operand">3.1277</e>
          <e type="operand">2.0064</e>
          <e type="operand">1.0622</e>
          <e type="operand">0.4131</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
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      <text lang="eng">
        <p>2. Orifice (after Bernoulli)</p>
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      <text lang="eng">
        <p>Geometry values venturi</p>
      </text>
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      <text lang="eng">
        <p>Measured values</p>
      </text>
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      <math>
        <input>
          <e type="operand">d.1</e>
          <e type="operand">31.75</e>
          <e type="operand" style="unit">mm</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
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    <region id="43" left="288" top="1404" width="103" height="81" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">h.1</e>
          <e type="operand">267</e>
          <e type="operand">233</e>
          <e type="operand">202</e>
          <e type="operand">184</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
          <e type="operand" style="unit">mm</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
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    </region>
    <region id="44" left="432" top="1404" width="119" height="81" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">h.2</e>
          <e type="operand">170</e>
          <e type="operand">180</e>
          <e type="operand">180</e>
          <e type="operand">177.5</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
          <e type="operand" style="unit">mm</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="45" left="585" top="1404" width="103" height="81" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">h.3</e>
          <e type="operand">202</e>
          <e type="operand">195</e>
          <e type="operand">188</e>
          <e type="operand">180</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
          <e type="operand" style="unit">mm</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="46" left="63" top="1422" width="80" height="30" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">d.2</e>
          <e type="operand">20</e>
          <e type="operand" style="unit">mm</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="47" left="63" top="1449" width="104" height="30" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">d.3</e>
          <e type="operand">31.75</e>
          <e type="operand" style="unit">mm</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="48" left="27" top="1494" width="154" height="75" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">f</e>
          <e type="operand">π</e>
          <e type="operand">4</e>
          <e type="operator" args="2">/</e>
          <e type="operand">d.2</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operand">d.1</e>
          <e type="operand">4</e>
          <e type="operator" args="2">^</e>
          <e type="operand">d.2</e>
          <e type="operand">4</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="function" args="1">sqrt</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="49" left="288" top="1494" width="145" height="81" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">Q.control</e>
          <e type="operand">20</e>
          <e type="operand">15</e>
          <e type="operand">10</e>
          <e type="operand">5</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
          <e type="operand" style="unit">L</e>
          <e type="operand" style="unit">min</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="50" left="27" top="1575" width="96" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">f</e>
        </input>
        <result action="numeric">
          <e type="operand">0.3395</e>
        </result>
      </math>
    </region>
    <region id="51" left="27" top="1611" width="144" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>Flow coefficient</p>
      </text>
    </region>
    <region id="52" left="198" top="1611" width="70" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">φ</e>
          <e type="operand">0.63</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="53" left="27" top="1647" width="209" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>Measured head difference</p>
      </text>
    </region>
    <region id="54" left="252" top="1647" width="98" height="30" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">Δh.p</e>
          <e type="operand">h.1</e>
          <e type="operand">h.2</e>
          <e type="operator" args="2">-</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="55" left="36" top="1674" width="137" height="81" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">Δh.p</e>
        </input>
        <result action="numeric">
          <e type="operand">0.097</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="operand">0.053</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="operand">0.022</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="operand">0.0065</e>
          <e type="operand" style="unit">m</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 id="56" left="180" top="1701" width="86" height="30" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">data</e>
          <e type="operand">Δh.p</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="57" left="27" top="1764" width="184" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>Determine matrix rows</p>
      </text>
    </region>
    <region id="58" left="216" top="1764" width="147" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">k</e>
          <e type="operand">1</e>
          <e type="operand">Δh.p</e>
          <e type="function" args="1">rows</e>
          <e type="function" args="2">range</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="59" left="153" top="1800" width="207" height="39" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">Δh</e>
          <e type="function" args="1">Q</e>
          <e type="operand">φ</e>
          <e type="operand">f</e>
          <e type="operator" args="2">*</e>
          <e type="operand">d.1</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operand">2</e>
          <e type="operand" style="unit">g.e</e>
          <e type="operator" args="2">*</e>
          <e type="operand">Δh</e>
          <e type="operator" args="2">*</e>
          <e type="function" args="1">sqrt</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="60" left="27" top="1809" width="111" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>Flow formula</p>
      </text>
    </region>
    <region id="61" left="27" top="1836" width="216" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>Apply matrix in Q formula</p>
      </text>
    </region>
    <region id="62" left="252" top="1836" width="147" height="35" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">Q</e>
          <e type="operand">k</e>
          <e type="operand">1</e>
          <e type="function" args="3">el</e>
          <e type="operand">data</e>
          <e type="operand">k</e>
          <e type="operand">1</e>
          <e type="function" args="3">el</e>
          <e type="function" args="1">Q</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="63" left="27" top="1890" width="167" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>Result calculated Q</p>
      </text>
    </region>
    <region id="64" left="198" top="1890" width="140" height="81" color="#000000" bgColor="#ffffff" fontSize="10">
      <math decimalPlaces="1">
        <input>
          <e type="operand">Q</e>
          <e type="operand">k</e>
          <e type="operand">1</e>
          <e type="function" args="3">el</e>
        </input>
        <contract>
          <e type="operand" style="unit">L</e>
          <e type="operand" style="unit">min</e>
          <e type="operator" args="2">/</e>
        </contract>
        <result action="numeric">
          <e type="operand">17.8</e>
          <e type="operand">13.2</e>
          <e type="operand">8.5</e>
          <e type="operand">4.6</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
        </result>
      </math>
    </region>
    <region id="65" left="369" top="1890" width="143" height="81" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">Q.control</e>
        </input>
        <contract>
          <e type="operand" style="unit">L</e>
          <e type="operand" style="unit">min</e>
          <e type="operator" args="2">/</e>
        </contract>
        <result action="numeric">
          <e type="operand">20</e>
          <e type="operand">15</e>
          <e type="operand">10</e>
          <e type="operand">5</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
        </result>
      </math>
    </region>
    <region id="66" left="27" top="1989" width="57" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>Error </p>
      </text>
    </region>
    <region id="67" left="117" top="1998" width="186" height="39" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">Error</e>
          <e type="operand">Q.control</e>
          <e type="operand">k</e>
          <e type="function" args="2">el</e>
          <e type="operand">Q</e>
          <e type="operand">k</e>
          <e type="operand">1</e>
          <e type="function" args="3">el</e>
          <e type="operator" args="2">-</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="68" left="117" top="2052" width="163" height="81" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">Error</e>
        </input>
        <contract>
          <e type="operand" style="unit">L</e>
          <e type="operand" style="unit">min</e>
          <e type="operator" args="2">/</e>
        </contract>
        <result action="numeric">
          <e type="operand">2.1555</e>
          <e type="operand">1.8096</e>
          <e type="operand">1.5017</e>
          <e type="operand">0.3807</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
        </result>
      </math>
    </region>
  </regions>
  <regions type="header">
    <region id="0" left="28" top="16" width="284" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>Practical seminar venturi orifice</p>
      </text>
    </region>
    <region id="1" left="420" top="16" width="106" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">\[AUTHOR]\</e>
        </input>
      </math>
    </region>
    <region id="2" left="632" top="16" width="90" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">\[DATE[YYYY\002D\MM\002D\DD]]\</e>
        </input>
      </math>
    </region>
  </regions>
  <regions type="footer">
    <region id="0" left="0" top="16" width="483" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <input>
          <e type="operand">\[FILENAME]\</e>
        </input>
      </math>
    </region>
    <region id="1" left="660" top="16" width="18" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">\[COUNT[0]]\</e>
        </input>
      </math>
    </region>
  </regions>
</worksheet>