﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="1.0.8348.30405"?>
<worksheet xmlns="http://smath.info/schemas/worksheet/1.0">
  <settings ppi="120">
    <identity>
      <id>97c28df3-b5f1-4cba-a21a-555e4c188fcf</id>
      <revision>13</revision>
    </identity>
    <metadata lang="eng">
      <author>Fikret Atalay</author>
    </metadata>
    <calculation>
      <precision>2</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <trailingZeros>false</trailingZeros>
      <significantDigitsMode>false</significantDigitsMode>
      <roundingMode>0</roundingMode>
      <approximateEqualAccuracy>0</approximateEqualAccuracy>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="false" viewMode="2" printGrid="false" printAreas="true" simpleEqualsOnly="false" printBackgroundImages="true">
      <paper id="1" orientation="Portrait" width="850" height="1100" />
      <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 />
    </pageModel>
    <dependencies>
      <assembly name="SMath Studio Desktop" version="1.0.8348.30405" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="MathRegion" version="1.11.8348.30405" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="SpecialFunctions" version="1.12.8348.30405" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="TextRegion" version="1.11.8348.30405" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
    </dependencies>
  </settings>
  <regions type="content">
    <region left="72" top="18" width="78" height="172" color="#000000" fontSize="9">
      <math decimalPlaces="4">
        <input>
          <e type="operand">z</e>
          <e type="operand">2.5</e>
          <e type="operand">7.5</e>
          <e type="operand">12.5</e>
          <e type="operand">17.5</e>
          <e type="operand">22.5</e>
          <e type="operand">27.5</e>
          <e type="operand">32.5</e>
          <e type="operand">37.5</e>
          <e type="operand">42.5</e>
          <e type="operand">47.5</e>
          <e type="operand">10</e>
          <e type="operand">1</e>
          <e type="function" args="12">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="180" top="18" width="90" height="172" color="#000000" fontSize="9">
      <math decimalPlaces="4">
        <input>
          <e type="operand">N.60</e>
          <e type="operand">9.8</e>
          <e type="operand">9.8</e>
          <e type="operand">9.8</e>
          <e type="operand">11.2</e>
          <e type="operand">12.5</e>
          <e type="operand">12.5</e>
          <e type="operand">12.5</e>
          <e type="operand">13.1</e>
          <e type="operand">13.1</e>
          <e type="operand">13.1</e>
          <e type="operand">10</e>
          <e type="operand">1</e>
          <e type="function" args="12">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="306" top="18" width="108" height="172" color="#000000" fontSize="9">
      <math decimalPlaces="4">
        <input>
          <e type="operand">ΔN.1_60</e>
          <e type="operand">1.15</e>
          <e type="operand">0.00</e>
          <e type="operand">0.00</e>
          <e type="operand">4.48</e>
          <e type="operand">4.48</e>
          <e type="operand">5.51</e>
          <e type="operand">5.51</e>
          <e type="operand">3.26</e>
          <e type="operand">0.00</e>
          <e type="operand">0.00</e>
          <e type="operand">10</e>
          <e type="operand">1</e>
          <e type="function" args="12">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="450" top="18" width="91" height="172" color="#000000" fontSize="9">
      <math decimalPlaces="4">
        <input>
          <e type="operand">σ'.v</e>
          <e type="operand">0.3</e>
          <e type="operand">0.93</e>
          <e type="operand">1.42</e>
          <e type="operand">1.76</e>
          <e type="operand">2.09</e>
          <e type="operand">2.43</e>
          <e type="operand">2.77</e>
          <e type="operand">3.11</e>
          <e type="operand">3.45</e>
          <e type="operand">3.78</e>
          <e type="operand">10</e>
          <e type="operand">1</e>
          <e type="function" args="12">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="576" top="90" width="74" height="28" color="#000000" fontSize="9">
      <math decimalPlaces="4">
        <input>
          <e type="operand">p.atm</e>
          <e type="operand">2.1</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="36" top="216" width="78" height="22" color="#000000" fontSize="9">
      <math decimalPlaces="4">
        <input>
          <e type="operand">TOL</e>
          <e type="operand">0.01</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="180" top="216" width="260" height="21" color="#000000" fontSize="9" isBreakable="false">
      <text lang="eng" fontFamily="Arial" fontSize="10">
        <content>
          <p style="font-size: 9px;">Tolerance for when to terminate the while loop</p>
        </content>
      </text>
    </region>
    <region left="36" top="234" width="40" height="22" color="#000000" fontSize="9">
      <math decimalPlaces="4">
        <input>
          <e type="operand">i</e>
          <e type="operand">0</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="180" top="234" width="84" height="21" color="#000000" fontSize="9" isBreakable="false">
      <text lang="eng" fontFamily="Arial" fontSize="10">
        <content>
          <p style="font-size: 9px;">Loop counter</p>
        </content>
      </text>
    </region>
    <region left="36" top="252" width="42" height="22" color="#000000" fontSize="9">
      <math decimalPlaces="4">
        <input>
          <e type="operand">m</e>
          <e type="operand">0</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="180" top="252" width="226" height="21" color="#000000" fontSize="9" isBreakable="false">
      <text lang="eng" width="226" fontFamily="Arial" fontSize="10">
        <content>
          <p style="font-size: 9px;">Initial guess for the value of exponent m</p>
        </content>
      </text>
    </region>
    <region left="36" top="270" width="78" height="22" color="#000000" fontSize="9">
      <math>
        <input>
          <e type="operand">Δm</e>
          <e type="operand">0.001</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="180" top="270" width="285" height="21" color="#000000" fontSize="9" isBreakable="false">
      <text lang="eng" width="285" fontFamily="Arial" fontSize="10">
        <content>
          <p style="font-size: 9px;">Increment of exponent m for subsequent iterations</p>
        </content>
      </text>
    </region>
    <region left="36" top="288" width="92" height="22" color="#000000" fontSize="9">
      <math decimalPlaces="4">
        <input>
          <e type="operand">ntr</e>
          <e type="operand">100000</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="180" top="288" width="531" height="34" color="#000000" fontSize="9" isBreakable="false">
      <text lang="eng" width="531" fontFamily="Arial" fontSize="10">
        <content>
          <p style="font-size: 9px;">Maximum number of trials (should be set sufficiently large to avoid interrupting loop prematurely; start with at least 100000</p>
        </content>
      </text>
    </region>
    <region left="36" top="342" width="232" height="26" color="#000000" fontSize="9">
      <math decimalPlaces="4">
        <input>
          <e type="operand">TOL</e>
          <e type="operand">TOL</e>
          <e type="operand">z</e>
          <e type="function" args="1">length</e>
          <e type="operand">1</e>
          <e type="function" args="2">matrix</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="36" top="360" width="203" height="26" color="#000000" fontSize="9">
      <math decimalPlaces="4">
        <input>
          <e type="operand">m</e>
          <e type="operand">m</e>
          <e type="operand">z</e>
          <e type="function" args="1">length</e>
          <e type="operand">1</e>
          <e type="function" args="2">matrix</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="36" top="396" width="291" height="528" color="#000000" fontSize="9">
      <math optimize="2" decimalPlaces="4">
        <input>
          <e type="operand">j</e>
          <e type="operand">1</e>
          <e type="operand">z</e>
          <e type="function" args="1">length</e>
          <e type="function" args="2">range</e>
          <e type="operand">i</e>
          <e type="operand">ntr</e>
          <e type="operator" args="2">&lt;</e>
          <e type="operand">N160cs</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operand">m</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operand">0.784</e>
          <e type="operator" args="2">-</e>
          <e type="operand">0.0768</e>
          <e type="operator" args="1">-</e>
          <e type="operator" args="2">/</e>
          <e type="bracket">(</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operand">46</e>
          <e type="operator" args="2">&gt;</e>
          <e type="operand">46</e>
          <e type="operand">m</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operand">0.784</e>
          <e type="operator" args="2">-</e>
          <e type="operand">0.0768</e>
          <e type="operator" args="1">-</e>
          <e type="operator" args="2">/</e>
          <e type="bracket">(</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="function" args="3">if</e>
          <e type="operator" args="2">:</e>
          <e type="operand">CN</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operand">N160cs</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operand">ΔN.1_60</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operator" args="2">-</e>
          <e type="operand">N.60</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operator" args="2">/</e>
          <e type="bracket">(</e>
          <e type="operand">1.7</e>
          <e type="operator" args="2">&gt;</e>
          <e type="operand">1.7</e>
          <e type="operand">N160cs</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operand">ΔN.1_60</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operator" args="2">-</e>
          <e type="operand">N.60</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operator" args="2">/</e>
          <e type="bracket">(</e>
          <e type="function" args="3">if</e>
          <e type="operator" args="2">:</e>
          <e type="operand">m.new</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operand">p.atm</e>
          <e type="operand">σ'.v</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operator" args="2">/</e>
          <e type="bracket">(</e>
          <e type="operand">CN</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operator" args="2">/</e>
          <e type="bracket">(</e>
          <e type="operand">1</e>
          <e type="operator" args="1">-</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">:</e>
          <e type="operand">Error</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operand">m</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operand">m.new</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operator" args="2">-</e>
          <e type="function" args="1">abs</e>
          <e type="operator" args="2">:</e>
          <e type="operand">m</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operand">m</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operand">Δm</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">:</e>
          <e type="operand">Error</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operand">TOL</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operator" args="2">&gt;</e>
          <e type="operand">i</e>
          <e type="operand">i</e>
          <e type="operand">1</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">:</e>
          <e type="operand">break</e>
          <e type="function" args="3">if</e>
          <e type="operand">6</e>
          <e type="operand">1</e>
          <e type="function" args="8">line</e>
          <e type="function" args="2">while</e>
          <e type="operand">1</e>
          <e type="operand">1</e>
          <e type="function" args="3">line</e>
          <e type="function" args="3">for</e>
        </input>
      </math>
    </region>
    <region left="360" top="414" width="60" height="22" color="#000000" fontSize="9">
      <math decimalPlaces="4">
        <input>
          <e type="operand">i</e>
        </input>
        <result action="numeric">
          <e type="operand">5223</e>
        </result>
      </math>
    </region>
    <region left="360" top="450" width="83" height="172" color="#000000" fontSize="9">
      <math decimalPlaces="4">
        <input>
          <e type="operand">m</e>
        </input>
        <result action="numeric">
          <e type="operand">0.234</e>
          <e type="operand">0.522</e>
          <e type="operand">0.564</e>
          <e type="operand">0.524</e>
          <e type="operand">0.528</e>
          <e type="operand">0.527</e>
          <e type="operand">0.535</e>
          <e type="operand">0.564</e>
          <e type="operand">0.614</e>
          <e type="operand">0.621</e>
          <e type="operand">10</e>
          <e type="operand">1</e>
          <e type="function" args="12">mat</e>
        </result>
      </math>
    </region>
    <region left="459" top="450" width="109" height="172" color="#000000" fontSize="9">
      <math decimalPlaces="4">
        <input>
          <e type="operand">m.new</e>
        </input>
        <result action="numeric">
          <e type="operand">0.2429</e>
          <e type="operand">0.5299</e>
          <e type="operand">0.5714</e>
          <e type="operand">0.529</e>
          <e type="operand">0.5349</e>
          <e type="operand">0.5346</e>
          <e type="operand">0.5367</e>
          <e type="operand">0.5676</e>
          <e type="operand">0.6217</e>
          <e type="operand">0.6266</e>
          <e type="operand">10</e>
          <e type="operand">1</e>
          <e type="function" args="12">mat</e>
        </result>
      </math>
    </region>
    <region left="585" top="450" width="120" height="172" color="#000000" fontSize="9">
      <math decimalPlaces="4">
        <input>
          <e type="operand">Error</e>
        </input>
        <result action="numeric">
          <e type="operand">0.0099</e>
          <e type="operand">0.0089</e>
          <e type="operand">0.0084</e>
          <e type="operand">0.006</e>
          <e type="operand">0.0079</e>
          <e type="operand">0.0086</e>
          <e type="operand">0.0027</e>
          <e type="operand">0.0046</e>
          <e type="operand">0.0087</e>
          <e type="operand">0.0066</e>
          <e type="operand">10</e>
          <e type="operand">1</e>
          <e type="function" args="12">mat</e>
        </result>
      </math>
    </region>
    <region left="360" top="648" width="110" height="23" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Arial" fontSize="10">
        <content>
          <p>For comparison:</p>
        </content>
      </text>
    </region>
    <region left="360" top="684" width="120" height="172" color="#000000" fontSize="9">
      <math decimalPlaces="4">
        <input>
          <e type="operand">m.manual</e>
          <e type="operand">0.234</e>
          <e type="operand">0.522</e>
          <e type="operand">0.564</e>
          <e type="operand">0.524</e>
          <e type="operand">0.528</e>
          <e type="operand">0.527</e>
          <e type="operand">0.535</e>
          <e type="operand">0.564</e>
          <e type="operand">0.614</e>
          <e type="operand">0.621</e>
          <e type="operand">10</e>
          <e type="operand">1</e>
          <e type="function" args="12">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
  </regions>
</worksheet>