﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio" version="0.95"?>
<regions>
  <settings>
    <calculation>
      <precision>2</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="true" printAreas="true" simpleEqualsOnly="false">
      <paper id="9" orientation="Portrait" width="827" height="1169" />
      <margins left="19" right="19" 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>
    </pageModel>
    <dependences>
      <assembly name="SMath Studio" version="0.95" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="Math Region" version="0.95" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="Special Functions" version="1.9.4559.2995" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="Text Region" version="1.8.4559.3000" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
    </dependences>
  </settings>
  <region id="0" left="27" top="36" width="57" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">D</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="1" left="27" top="72" width="69" height="41" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">U</e>
        <e type="operand">10</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="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="2" left="27" top="108" width="102" height="50" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">υ</e>
        <e type="operand">10</e>
        <e type="operand">6</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operand" style="unit">m</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand" style="unit">s</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="3" left="27" top="171" width="82" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">ε</e>
        <e type="operand">0.1</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="4" left="27" top="225" width="70" height="41" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Re</e>
        <e type="operand">U</e>
        <e type="operand">D</e>
        <e type="operator" args="2">*</e>
        <e type="operand">υ</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="5" left="27" top="270" width="74" height="50" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Ω</e>
        <e type="operand">π</e>
        <e type="operand">D</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">4</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="6" left="27" top="333" width="58" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Q</e>
        <e type="operand">Ω</e>
        <e type="operand">U</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="7" left="486" top="378" width="108" height="50" color="#0000ff" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Q</e>
      </input>
      <result action="numeric">
        <e type="operand">7.85</e>
        <e type="operand" style="unit">m</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operand" style="unit">s</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="8" left="45" top="387" width="101" height="42" color="#0000ff" bgColor="#ffffff" fontSize="10">
    <math exponentialThreshold="1">
      <input>
        <e type="operand">ε</e>
        <e type="operand">D</e>
        <e type="operator" args="2">/</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
        <e type="operand">10</e>
        <e type="operand">4</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="9" left="189" top="387" width="96" height="33" color="#0000ff" bgColor="#ffffff" fontSize="10">
    <math exponentialThreshold="1">
      <input>
        <e type="operand">Re</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
        <e type="operand">10</e>
        <e type="operand">7</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="10" left="342" top="387" width="104" height="33" color="#0000ff" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Ω</e>
      </input>
      <result action="numeric">
        <e type="operand">0.79</e>
        <e type="operand" style="unit">m</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="11" left="18" top="459" width="344" height="82" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">f.Haaland</e>
        <e type="operand">1.8</e>
        <e type="operator" args="1">-</e>
        <e type="bracket">(</e>
        <e type="operand">ε</e>
        <e type="operand">D</e>
        <e type="operator" args="2">/</e>
        <e type="operand">3.7</e>
        <e type="operator" args="2">/</e>
        <e type="bracket">(</e>
        <e type="operand">1.11</e>
        <e type="operator" args="2">^</e>
        <e type="operand">6.9</e>
        <e type="operand">Re</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">+</e>
        <e type="operand">10</e>
        <e type="function" preserve="true" args="2">log</e>
        <e type="operator" args="2">*</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="12" left="567" top="486" width="180" height="41" color="#0000ff" bgColor="#ffffff" fontSize="10">
    <math exponentialThreshold="1">
      <input>
        <e type="operand">f.Haaland</e>
      </input>
      <result action="numeric">
        <e type="operand">1.22</e>
        <e type="operand">10</e>
        <e type="operand">2</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="13" left="18" top="567" width="535" height="64" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">f.Colebrook</e>
        <e type="operand">1</e>
        <e type="operand">f</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">/</e>
        <e type="operand">2</e>
        <e type="operator" args="1">-</e>
        <e type="bracket">(</e>
        <e type="operand">ε</e>
        <e type="operand">D</e>
        <e type="operator" args="2">/</e>
        <e type="operand">3.7</e>
        <e type="operator" args="2">/</e>
        <e type="operand">2.51</e>
        <e type="operand">Re</e>
        <e type="operand">f</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">+</e>
        <e type="operand">10</e>
        <e type="function" preserve="true" args="2">log</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">f</e>
        <e type="operand">0</e>
        <e type="operand">10</e>
        <e type="operand">f.Haaland</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="4">solve</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="14" left="567" top="576" width="206" height="62" color="#0000ff" bgColor="#ffffff" fontSize="10">
    <math exponentialThreshold="1">
      <input>
        <e type="operand">f.Colebrook</e>
      </input>
      <result action="numeric">
        <e type="operand">6.08</e>
        <e type="operand">10</e>
        <e type="operand">4</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1.22</e>
        <e type="operand">10</e>
        <e type="operand">2</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="15" left="18" top="675" width="201" height="24" color="#008000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>testing Colebrook roots</p>
    </text>
  </region>
  <region id="16" left="18" top="711" width="458" height="78" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">2</e>
        <e type="operand">ε</e>
        <e type="operand">D</e>
        <e type="operator" args="2">/</e>
        <e type="operand">3.7</e>
        <e type="operator" args="2">/</e>
        <e type="operand">2.51</e>
        <e type="operand">Re</e>
        <e type="operand">f.Colebrook</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">+</e>
        <e type="operand">10</e>
        <e type="function" preserve="true" args="2">log</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operand">f.Colebrook</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">+</e>
      </input>
      <result action="numeric">
        <e type="operand">31.69</e>
      </result>
    </math>
  </region>
  <region id="17" left="18" top="801" width="503" height="78" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">2</e>
        <e type="operand">ε</e>
        <e type="operand">D</e>
        <e type="operator" args="2">/</e>
        <e type="operand">3.7</e>
        <e type="operator" args="2">/</e>
        <e type="operand">2.51</e>
        <e type="operand">Re</e>
        <e type="operand">f.Colebrook</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">+</e>
        <e type="operand">10</e>
        <e type="function" preserve="true" args="2">log</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operand">f.Colebrook</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">+</e>
      </input>
      <result action="numeric">
        <e type="operand">1.88</e>
        <e type="operand">10</e>
        <e type="operand">6</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
</regions>