﻿<?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="96">
    <identity>
      <id>d5df0306-0eb8-4d35-97c9-066e941d8e89</id>
      <revision>5</revision>
    </identity>
    <metadata lang="eng">
      <author>Alvaro Diaz Falconi</author>
    </metadata>
    <calculation>
      <precision>4</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <trailingZeros>false</trailingZeros>
      <significantDigitsMode>false</significantDigitsMode>
      <roundingMode>0</roundingMode>
      <approximateEqualAccuracy>0</approximateEqualAccuracy>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="true" viewMode="0" printGrid="false" printAreas="true" simpleEqualsOnly="false" printBackgroundImages="true">
      <paper id="9" orientation="Portrait" width="827" height="1169" />
      <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="18" top="18" width="58" height="24" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Consolas" fontSize="10">
        <content>
          <p style="font-weight: bold;">Notes </p>
        </content>
      </text>
    </region>
    <region left="90" top="18" width="366" height="24" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Consolas" fontSize="10">
        <content>
          <p>about a relation sequence "operator" in a plugin</p>
        </content>
      </text>
    </region>
    <region left="18" top="54" width="609" height="127" color="#000000" fontSize="10">
      <math>
        <description active="true" position="Top" lang="eng">
          <content>
            <p>Relation Sequence</p>
          </content>
        </description>
        <input>
          <e type="operand">a#</e>
          <e type="operand">r#</e>
          <e type="operand">b#</e>
          <e type="function" args="3">relseq</e>
          <e type="operand">Relations#</e>
          <e type="operand" style="string">≡</e>
          <e type="operand" style="string">≠</e>
          <e type="operand" style="string">&lt;</e>
          <e type="operand" style="string">≤</e>
          <e type="operand" style="string">&gt;</e>
          <e type="operand" style="string">≥</e>
          <e type="operand" style="string">≈</e>
          <e type="operand" style="string">≉</e>
          <e type="function" args="8">stack</e>
          <e type="operator" args="2">:</e>
          <e type="operand">rs#</e>
          <e type="operand">r#</e>
          <e type="function" args="1">num2str</e>
          <e type="operator" args="2">:</e>
          <e type="operand">Relations#</e>
          <e type="operand">rs#</e>
          <e type="operand">1</e>
          <e type="function" args="3">findrows</e>
          <e type="operand">0</e>
          <e type="operator" args="2">≡</e>
          <e type="operand" style="string">Bad relational operator.</e>
          <e type="function" args="1">error</e>
          <e type="operand">a#</e>
          <e type="function" args="1">num2str</e>
          <e type="operand">rs#</e>
          <e type="operand">b#</e>
          <e type="function" args="1">num2str</e>
          <e type="function" args="3">concat</e>
          <e type="function" args="1">str2num</e>
          <e type="function" args="3">if</e>
          <e type="operand">3</e>
          <e type="operand">1</e>
          <e type="function" args="5">line</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="27" top="198" width="73" height="24" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Consolas" fontSize="10">
        <content>
          <p style="font-weight: bold;">Populate</p>
        </content>
      </text>
    </region>
    <region left="63" top="234" width="653" height="168" color="#000000" fontSize="10">
      <math breaking="71">
        <description active="true" position="Top" lang="eng">
          <content>
            <p>Auxiliary Relation Sequence</p>
          </content>
        </description>
        <input>
          <e type="operand">v#</e>
          <e type="function" args="1">relseq#</e>
          <e type="operand">k#</e>
          <e type="operand">1</e>
          <e type="operator" args="2">:</e>
          <e type="operand">k#</e>
          <e type="operand">v#</e>
          <e type="function" args="1">length</e>
          <e type="operand">4</e>
          <e type="operator" args="2">-</e>
          <e type="operator" args="2">≤</e>
          <e type="operand">k#</e>
          <e type="operand">k#</e>
          <e type="operand">4</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">:</e>
          <e type="operand">R#</e>
          <e type="operand">v#</e>
          <e type="operand">k#</e>
          <e type="function" args="2">el</e>
          <e type="operand">v#</e>
          <e type="operand">k#</e>
          <e type="operand">1</e>
          <e type="operator" args="2">+</e>
          <e type="function" args="2">el</e>
          <e type="operand">v#</e>
          <e type="operand">k#</e>
          <e type="operand">2</e>
          <e type="operator" args="2">+</e>
          <e type="function" args="2">el</e>
          <e type="function" args="3">relseq</e>
          <e type="bracket">(</e>
          <e type="operand">v#</e>
          <e type="operand">k#</e>
          <e type="operand">2</e>
          <e type="operator" args="2">+</e>
          <e type="function" args="2">el</e>
          <e type="operand">v#</e>
          <e type="operand">k#</e>
          <e type="operand">3</e>
          <e type="operator" args="2">+</e>
          <e type="function" args="2">el</e>
          <e type="operand">v#</e>
          <e type="operand">k#</e>
          <e type="operand">4</e>
          <e type="operator" args="2">+</e>
          <e type="function" args="2">el</e>
          <e type="function" args="3">relseq</e>
          <e type="operator" args="2">&amp;</e>
          <e type="operator" args="2">:</e>
          <e type="operand">k#</e>
          <e type="operand">1</e>
          <e type="operator" args="2">≡</e>
          <e type="operand">ans#</e>
          <e type="operand">R#</e>
          <e type="operator" args="2">:</e>
          <e type="operand">ans#</e>
          <e type="operand">ans#</e>
          <e type="operand">R#</e>
          <e type="operator" args="2">&amp;</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">:</e>
          <e type="function" args="3">if</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" args="4">line</e>
          <e type="function" args="4">for</e>
          <e type="operand">ans#</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" args="4">line</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="63" top="432" width="198" height="24" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">strR#</e>
          <e type="operand" style="string">mat(a1#,r1#,a#</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="297" top="432" width="222" height="24" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">strL#</e>
          <e type="operand" style="string">relseq(a1#,r1#,a#</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="63" top="459" width="667" height="114" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">k#</e>
          <e type="operand">1</e>
          <e type="operand">10</e>
          <e type="function" args="2">range</e>
          <e type="operand">ks#</e>
          <e type="operand" style="string">,R#</e>
          <e type="operand">k#</e>
          <e type="function" args="1">num2str</e>
          <e type="operand" style="string">,A#</e>
          <e type="operand">k#</e>
          <e type="function" args="1">num2str</e>
          <e type="function" args="4">concat</e>
          <e type="operator" args="2">:</e>
          <e type="operand">strL#</e>
          <e type="operand">strL#</e>
          <e type="operand">ks#</e>
          <e type="function" args="2">concat</e>
          <e type="operator" args="2">:</e>
          <e type="operand">strR#</e>
          <e type="operand">strR#</e>
          <e type="operand">ks#</e>
          <e type="function" args="2">concat</e>
          <e type="operator" args="2">:</e>
          <e type="operand">1</e>
          <e type="operand">2</e>
          <e type="function" args="4">mat</e>
          <e type="operand">str#</e>
          <e type="operand">strL#</e>
          <e type="operand" style="string">):line(relseq#(</e>
          <e type="operand">strR#</e>
          <e type="operand" style="string">,</e>
          <e type="operand">2</e>
          <e type="operand">k#</e>
          <e type="operator" args="2">*</e>
          <e type="operand">3</e>
          <e type="operator" args="2">+</e>
          <e type="function" args="1">num2str</e>
          <e type="operand" style="string">,1)),1,1)</e>
          <e type="function" args="6">concat</e>
          <e type="operator" args="2">:</e>
          <e type="operand">dummy#</e>
          <e type="operand">str#</e>
          <e type="function" args="1">str2num</e>
          <e type="operator" args="2">:</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">line</e>
          <e type="function" args="3">for</e>
        </input>
      </math>
    </region>
    <region left="63" top="576" width="315" height="26" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">strL#</e>
          <e type="operand">strR#</e>
          <e type="operand">k#</e>
          <e type="operand">ks#</e>
          <e type="operand">dummy#</e>
          <e type="function" args="5">Clear</e>
        </input>
        <result action="numeric">
          <e type="operand">1</e>
        </result>
      </math>
    </region>
    <region left="18" top="612" width="73" height="24" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Consolas" fontSize="10">
        <content>
          <p style="font-weight: bold;">Examples</p>
        </content>
      </text>
    </region>
    <region left="126" top="612" width="65" height="24" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Consolas" fontSize="10">
        <content>
          <p>Numeric</p>
        </content>
      </text>
    </region>
    <region left="378" top="612" width="80" height="24" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Consolas" fontSize="10">
        <content>
          <p>Symbolic </p>
        </content>
      </text>
    </region>
    <region left="126" top="648" width="149" height="26" color="#000000" fontSize="10">
      <math>
        <description active="false" position="Top" lang="eng">
          <content>
            <p></p>
          </content>
        </description>
        <input>
          <e type="operand">3</e>
          <e type="operand">\003C\</e>
          <e type="operand">4</e>
          <e type="function" args="3">relseq</e>
        </input>
        <result action="numeric">
          <e type="operand">1</e>
        </result>
      </math>
    </region>
    <region left="378" top="648" width="181" height="26" color="#000000" fontSize="10">
      <math>
        <description active="false" position="Top" lang="eng">
          <content>
            <p></p>
          </content>
        </description>
        <input>
          <e type="operand">a</e>
          <e type="operand">\003C\</e>
          <e type="operand">b</e>
          <e type="function" args="3">relseq</e>
        </input>
        <result action="symbolic">
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operator" args="2">&lt;</e>
        </result>
      </math>
    </region>
    <region left="126" top="675" width="149" height="26" color="#000000" fontSize="10">
      <math>
        <description active="false" position="Top" lang="eng">
          <content>
            <p></p>
          </content>
        </description>
        <input>
          <e type="operand">3</e>
          <e type="operand">\2261\</e>
          <e type="operand">4</e>
          <e type="function" args="3">relseq</e>
        </input>
        <result action="numeric">
          <e type="operand">0</e>
        </result>
      </math>
    </region>
    <region left="378" top="675" width="182" height="26" color="#000000" fontSize="10">
      <math>
        <description active="false" position="Top" lang="eng">
          <content>
            <p></p>
          </content>
        </description>
        <input>
          <e type="operand">a</e>
          <e type="operand">\2261\</e>
          <e type="operand">b</e>
          <e type="function" args="3">relseq</e>
        </input>
        <result action="symbolic">
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operator" args="2">≡</e>
        </result>
      </math>
    </region>
    <region left="126" top="702" width="191" height="26" color="#000000" fontSize="10">
      <math>
        <description active="false" position="Top" lang="eng">
          <content>
            <p></p>
          </content>
        </description>
        <input>
          <e type="operand">3</e>
          <e type="operand">\003C\</e>
          <e type="operand">4</e>
          <e type="operand">\2264\</e>
          <e type="operand">5</e>
          <e type="function" args="5">relseq</e>
        </input>
        <result action="symbolic">
          <e type="operand">1</e>
        </result>
      </math>
    </region>
    <region left="378" top="702" width="300" height="26" color="#000000" fontSize="10">
      <math>
        <description active="false" position="Top" lang="eng">
          <content>
            <p></p>
          </content>
        </description>
        <input>
          <e type="operand">a</e>
          <e type="operand">\003C\</e>
          <e type="operand">b</e>
          <e type="operand">\2264\</e>
          <e type="operand">c</e>
          <e type="function" args="5">relseq</e>
        </input>
        <result action="symbolic">
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operator" args="2">&lt;</e>
          <e type="bracket">(</e>
          <e type="operand">b</e>
          <e type="operand">c</e>
          <e type="operator" args="2">≤</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">&amp;</e>
        </result>
      </math>
    </region>
    <region left="126" top="729" width="191" height="26" color="#000000" fontSize="10">
      <math>
        <description active="false" position="Top" lang="eng">
          <content>
            <p></p>
          </content>
        </description>
        <input>
          <e type="operand">3</e>
          <e type="operand">\003C\</e>
          <e type="operand">4</e>
          <e type="operand">\2261\</e>
          <e type="operand">5</e>
          <e type="function" args="5">relseq</e>
        </input>
        <result action="symbolic">
          <e type="operand">0</e>
        </result>
      </math>
    </region>
    <region left="378" top="729" width="300" height="26" color="#000000" fontSize="10">
      <math>
        <description active="false" position="Top" lang="eng">
          <content>
            <p></p>
          </content>
        </description>
        <input>
          <e type="operand">a</e>
          <e type="operand">\003C\</e>
          <e type="operand">b</e>
          <e type="operand">\2261\</e>
          <e type="operand">c</e>
          <e type="function" args="5">relseq</e>
        </input>
        <result action="symbolic">
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operator" args="2">&lt;</e>
          <e type="bracket">(</e>
          <e type="operand">b</e>
          <e type="operand">c</e>
          <e type="operator" args="2">≡</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">&amp;</e>
        </result>
      </math>
    </region>
    <region left="54" top="774" width="319" height="43" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">100</e>
          <e type="operand">99</e>
          <e type="operator" args="2">/</e>
          <e type="operand">\2248\</e>
          <e type="operand">1.01</e>
          <e type="operand">\003C\</e>
          <e type="operand">2</e>
          <e type="operand">\2260\</e>
          <e type="operand">3</e>
          <e type="operand">\003E\</e>
          <e type="operand">2</e>
          <e type="function" args="9">relseq</e>
        </input>
        <result action="numeric">
          <e type="operand">1</e>
        </result>
      </math>
    </region>
    <region left="54" top="810" width="525" height="28" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">a</e>
          <e type="operand">\2248\</e>
          <e type="operand">b</e>
          <e type="operand">\003C\</e>
          <e type="operand">c</e>
          <e type="operand">\2260\</e>
          <e type="operand">d</e>
          <e type="operand">\003E\</e>
          <e type="operand">ε</e>
          <e type="function" args="9">relseq</e>
        </input>
        <result action="symbolic">
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operator" args="2">≈</e>
          <e type="operand">b</e>
          <e type="operand">c</e>
          <e type="operator" args="2">&lt;</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">&amp;</e>
          <e type="bracket">(</e>
          <e type="operand">c</e>
          <e type="operand">d</e>
          <e type="operator" args="2">≠</e>
          <e type="bracket">(</e>
          <e type="operand">d</e>
          <e type="operand">ε</e>
          <e type="operator" args="2">&gt;</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">&amp;</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">&amp;</e>
        </result>
      </math>
    </region>
    <region left="54" top="855" width="401" height="26" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">1</e>
          <e type="operand">\003C\</e>
          <e type="operand">2</e>
          <e type="operand">\003C\</e>
          <e type="operand">3</e>
          <e type="operand">\003C\</e>
          <e type="operand">4</e>
          <e type="operand">\003C\</e>
          <e type="operand">5</e>
          <e type="operand">\003C\</e>
          <e type="operand">6</e>
          <e type="operand">\003C\</e>
          <e type="operand">7</e>
          <e type="operand">\003C\</e>
          <e type="operand">8</e>
          <e type="function" args="15">relseq</e>
        </input>
        <result action="numeric">
          <e type="operand">1</e>
        </result>
      </math>
    </region>
    <region left="54" top="882" width="432" height="49" color="#000000" fontSize="10">
      <math breaking="51">
        <input>
          <e type="operand">a</e>
          <e type="operand">\003C\</e>
          <e type="operand">b</e>
          <e type="operand">\003C\</e>
          <e type="operand">c</e>
          <e type="operand">\003C\</e>
          <e type="operand">d</e>
          <e type="operand">\003C\</e>
          <e type="operand">ε</e>
          <e type="operand">\003C\</e>
          <e type="operand">f</e>
          <e type="operand">\003C\</e>
          <e type="operand">g</e>
          <e type="operand">\003C\</e>
          <e type="operand">h</e>
          <e type="function" args="15">relseq</e>
        </input>
        <result action="symbolic">
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operator" args="2">&lt;</e>
          <e type="bracket">(</e>
          <e type="operand">b</e>
          <e type="operand">c</e>
          <e type="operator" args="2">&lt;</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">&amp;</e>
          <e type="bracket">(</e>
          <e type="operand">c</e>
          <e type="operand">d</e>
          <e type="operator" args="2">&lt;</e>
          <e type="bracket">(</e>
          <e type="operand">d</e>
          <e type="operand">ε</e>
          <e type="operator" args="2">&lt;</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">&amp;</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">&amp;</e>
          <e type="bracket">(</e>
          <e type="operand">ε</e>
          <e type="operand">f</e>
          <e type="operator" args="2">&lt;</e>
          <e type="bracket">(</e>
          <e type="operand">f</e>
          <e type="operand">g</e>
          <e type="operator" args="2">&lt;</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">&amp;</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">&amp;</e>
        </result>
      </math>
    </region>
    <region left="54" top="945" width="191" height="26" color="#000000" fontSize="10">
      <math error="9">
        <description active="false" position="Top" lang="eng">
          <content>
            <p></p>
          </content>
        </description>
        <input>
          <e type="operand">3</e>
          <e type="operand">\003C\</e>
          <e type="operand">4</e>
          <e type="operand">f</e>
          <e type="operand">5</e>
          <e type="function" args="5">relseq</e>
        </input>
        <result action="numeric">
          <e type="operand">#</e>
        </result>
      </math>
    </region>
    <region left="279" top="945" width="306" height="24" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">lastError</e>
        </input>
        <result action="numeric">
          <e type="operand" style="string">Bad relational operator.</e>
        </result>
      </math>
    </region>
    <region left="18" top="990" width="87" height="24" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Consolas" fontSize="10">
        <content>
          <p style="font-weight: bold;">Conclusion</p>
        </content>
      </text>
    </region>
    <region left="144" top="990" width="381" height="24" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Consolas" fontSize="10">
        <content>
          <p>A plugin that hide relseq and shows a &lt; b ≡ c ≉ d </p>
        </content>
      </text>
    </region>
    <region left="18" top="1044" width="60" height="24" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">Alvaro</e>
        </input>
      </math>
    </region>
    <region left="144" top="1044" width="257" height="26" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">4</e>
          <e type="function" args="1">appVersion</e>
        </input>
        <result action="numeric">
          <e type="operand" style="string">1.0.8348.30405</e>
        </result>
      </math>
    </region>
  </regions>
</worksheet>