<?xml version="1.0" encoding="UTF-8"?>
<?latexml class="article"?>
<?latexml package="latexml"?>
<?latexml RelaxNGSchema="LaTeXML"?>
<document xmlns="http://dlmf.nist.gov/LaTeXML">
  <resource src="LaTeXML.css" type="text/css"/>
  <resource src="ltx-article.css" type="text/css"/>
  <section inlist="toc" xml:id="S1">
    <tags>
      <tag>1</tag>
      <tag role="refnum">1</tag>
      <tag role="typerefnum">§1</tag>
    </tags>
    <title><tag close=" ">1</tag>Basics</title>
    <declare xml:id="S1.XMD1">
      <text>integer</text>
    </declare>
    <declare xml:id="S1.XMD2">
      <text>hatted</text>
    </declare>
    <declare xml:id="S1.XMD3">
      <text>widehatted</text>
    </declare>
    <declare xml:id="S1.XMD4">
      <text>ecks</text>
    </declare>
    <declare xml:id="S1.XMD5">
      <text>ecksprime</text>
    </declare>
    <declare xml:id="S1.XMD6">
      <text>ecksindexed</text>
    </declare>
    <declare xml:id="S1.XMD7">
      <text>ecksone</text>
    </declare>
    <declare xml:id="S1.XMD8">
      <text>eckshat</text>
    </declare>
    <declare xml:id="S1.XMD9">
      <text>why</text>
    </declare>
    <para xml:id="S1.p1">
      <equation xml:id="S1.Ex1">
        <Math mode="display" tex="x,x^{\prime},x_{1},x_{n},x_{2n-1},\hat{x},\widehat{x},\mathbf{x}" text="list@(x, x ^ prime, x _ 1, x _ n, x _ (2 * n - 1), hat@(x), widehat@(x), x)" xml:id="S1.Ex1.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="list"/>
                <XMRef idref="S1.Ex1.m1.4"/>
                <XMRef idref="S1.Ex1.m1.5"/>
                <XMRef idref="S1.Ex1.m1.6"/>
                <XMRef idref="S1.Ex1.m1.7"/>
                <XMRef idref="S1.Ex1.m1.8"/>
                <XMRef idref="S1.Ex1.m1.9"/>
                <XMRef idref="S1.Ex1.m1.10"/>
                <XMRef idref="S1.Ex1.m1.11"/>
              </XMApp>
              <XMWrap>
                <XMTok decl_id="S1.XMD4" font="italic" role="ID" xml:id="S1.Ex1.m1.4">x</XMTok>
                <XMTok role="PUNCT">,</XMTok>
                <XMApp decl_id="S1.XMD5" role="ID" xml:id="S1.Ex1.m1.5">
                  <XMTok role="SUPERSCRIPTOP" scriptpos="post1"/>
                  <XMTok font="italic" role="UNKNOWN">x</XMTok>
                  <XMTok fontsize="70%" name="prime" role="SUPOP">′</XMTok>
                </XMApp>
                <XMTok role="PUNCT">,</XMTok>
                <XMApp decl_id="S1.XMD7" role="ID" xml:id="S1.Ex1.m1.6">
                  <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                  <XMTok font="italic" role="UNKNOWN">x</XMTok>
                  <XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
                </XMApp>
                <XMTok role="PUNCT">,</XMTok>
                <XMDual role="ID" xml:id="S1.Ex1.m1.7">
                  <XMApp>
                    <XMTok decl_id="S1.XMD6"/>
                    <XMRef idref="S1.Ex1.m1.1"/>
                  </XMApp>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                    <XMTok font="italic" role="UNKNOWN">x</XMTok>
                    <XMTok decl_id="S1.XMD1" font="italic" fontsize="70%" role="ID" xml:id="S1.Ex1.m1.1">n</XMTok>
                  </XMApp>
                </XMDual>
                <XMTok role="PUNCT">,</XMTok>
                <XMDual role="ID" xml:id="S1.Ex1.m1.8">
                  <XMApp>
                    <XMTok decl_id="S1.XMD6"/>
                    <XMRef idref="S1.Ex1.m1.2"/>
                  </XMApp>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                    <XMTok font="italic" role="UNKNOWN">x</XMTok>
                    <XMApp xml:id="S1.Ex1.m1.2">
                      <XMTok fontsize="70%" meaning="minus" role="ADDOP">-</XMTok>
                      <XMApp>
                        <XMTok meaning="times" role="MULOP">⁢</XMTok>
                        <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                        <XMTok decl_id="S1.XMD1" font="italic" fontsize="70%" role="ID">n</XMTok>
                      </XMApp>
                      <XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
                    </XMApp>
                  </XMApp>
                </XMDual>
                <XMTok role="PUNCT">,</XMTok>
                <XMApp decl_id="S1.XMD8" role="ID" xml:id="S1.Ex1.m1.9">
                  <XMTok name="hat" role="OVERACCENT" stretchy="false">^</XMTok>
                  <XMTok font="italic" role="UNKNOWN">x</XMTok>
                </XMApp>
                <XMTok role="PUNCT">,</XMTok>
                <XMApp role="ID" xml:id="S1.Ex1.m1.10">
                  <XMTok decl_id="S1.XMD3" name="widehat" role="OVERACCENT">^</XMTok>
                  <XMTok decl_id="S1.XMD4" font="italic" role="ID" xml:id="S1.Ex1.m1.3">x</XMTok>
                </XMApp>
                <XMTok role="PUNCT">,</XMTok>
                <XMTok font="bold" role="UNKNOWN" xml:id="S1.Ex1.m1.11">x</XMTok>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math>
      </equation>
      <equation xml:id="S1.Ex2">
        <Math mode="display" tex="y,y^{\prime},y_{1},y_{n},y_{2n-1},\hat{y},\widehat{y}" text="list@(y, y ^ prime, y _ 1, y _ n, y _ (2 * n - 1), hat@(y), widehat@(y))" xml:id="S1.Ex2.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="list"/>
                <XMRef idref="S1.Ex2.m1.3"/>
                <XMRef idref="S1.Ex2.m1.6"/>
                <XMRef idref="S1.Ex2.m1.7"/>
                <XMRef idref="S1.Ex2.m1.8"/>
                <XMRef idref="S1.Ex2.m1.9"/>
                <XMRef idref="S1.Ex2.m1.4"/>
                <XMRef idref="S1.Ex2.m1.5"/>
              </XMApp>
              <XMWrap>
                <XMTok decl_id="S1.XMD9" font="italic" role="ID" xml:id="S1.Ex2.m1.3">y</XMTok>
                <XMTok role="PUNCT">,</XMTok>
                <XMApp xml:id="S1.Ex2.m1.6">
                  <XMTok role="SUPERSCRIPTOP" scriptpos="post1"/>
                  <XMTok decl_id="S1.XMD9" font="italic" role="ID">y</XMTok>
                  <XMTok fontsize="70%" name="prime" role="SUPOP">′</XMTok>
                </XMApp>
                <XMTok role="PUNCT">,</XMTok>
                <XMApp xml:id="S1.Ex2.m1.7">
                  <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                  <XMTok decl_id="S1.XMD9" font="italic" role="ID">y</XMTok>
                  <XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
                </XMApp>
                <XMTok role="PUNCT">,</XMTok>
                <XMApp xml:id="S1.Ex2.m1.8">
                  <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                  <XMTok decl_id="S1.XMD9" font="italic" role="ID">y</XMTok>
                  <XMTok decl_id="S1.XMD1" font="italic" fontsize="70%" role="ID">n</XMTok>
                </XMApp>
                <XMTok role="PUNCT">,</XMTok>
                <XMApp xml:id="S1.Ex2.m1.9">
                  <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                  <XMTok decl_id="S1.XMD9" font="italic" role="ID">y</XMTok>
                  <XMApp>
                    <XMTok fontsize="70%" meaning="minus" role="ADDOP">-</XMTok>
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                      <XMTok decl_id="S1.XMD1" font="italic" fontsize="70%" role="ID">n</XMTok>
                    </XMApp>
                    <XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
                  </XMApp>
                </XMApp>
                <XMTok role="PUNCT">,</XMTok>
                <XMApp role="ID" xml:id="S1.Ex2.m1.4">
                  <XMTok decl_id="S1.XMD2" name="hat" role="OVERACCENT" stretchy="false">^</XMTok>
                  <XMTok decl_id="S1.XMD9" font="italic" role="ID" xml:id="S1.Ex2.m1.2">y</XMTok>
                </XMApp>
                <XMTok role="PUNCT">,</XMTok>
                <XMApp role="ID" xml:id="S1.Ex2.m1.5">
                  <XMTok decl_id="S1.XMD3" name="widehat" role="OVERACCENT">^</XMTok>
                  <XMTok decl_id="S1.XMD9" font="italic" role="ID" xml:id="S1.Ex2.m1.1">y</XMTok>
                </XMApp>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math>
      </equation>
    </para>
  </section>
  <section inlist="toc" xml:id="S2">
    <tags>
      <tag>2</tag>
      <tag role="refnum">2</tag>
      <tag role="typerefnum">§2</tag>
    </tags>
    <title><tag close=" ">2</tag>WildCards</title>
    <declare xml:id="S2.XMD1">
      <text>queue-zero</text>
    </declare>
    <declare xml:id="S2.XMD2">
      <text>queue-one</text>
    </declare>
    <declare xml:id="S2.XMD3">
      <text>queue-two</text>
    </declare>
    <declare xml:id="S2.XMD4">
      <text>eff-zero</text>
    </declare>
    <declare xml:id="S2.XMD5">
      <text>eff-one</text>
    </declare>
    <declare xml:id="S2.XMD6">
      <text>eff-two</text>
    </declare>
    <declare xml:id="S2.XMD7">
      <text>constant</text>
    </declare>
    <declare xml:id="S2.XMD8">
      <text>functionalized</text>
    </declare>
    <declare xml:id="S2.XMD9">
      <text>gee-zero</text>
    </declare>
    <declare xml:id="S2.XMD10">
      <text>gee-one</text>
    </declare>
    <para xml:id="S2.p1">
      <equation xml:id="S2.Ex3">
        <Math mode="display" tex="q,q_{a},q_{a,b},\mbox{ but accidentally }q_{a+b}" text="list@(q, q _ a, q _ (list@(a, b)), [ but accidentally ] * q _ (a + b))" xml:id="S2.Ex3.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="list"/>
                <XMRef idref="S2.Ex3.m1.5"/>
                <XMRef idref="S2.Ex3.m1.6"/>
                <XMRef idref="S2.Ex3.m1.7"/>
                <XMRef idref="S2.Ex3.m1.8"/>
              </XMApp>
              <XMWrap>
                <XMTok decl_id="S2.XMD1" font="italic" role="ID" xml:id="S2.Ex3.m1.5">q</XMTok>
                <XMTok role="PUNCT">,</XMTok>
                <XMDual role="ID" xml:id="S2.Ex3.m1.6">
                  <XMApp>
                    <XMTok decl_id="S2.XMD2"/>
                    <XMRef idref="S2.Ex3.m1.3"/>
                  </XMApp>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                    <XMTok font="italic" role="UNKNOWN">q</XMTok>
                    <XMTok font="italic" fontsize="70%" role="UNKNOWN" xml:id="S2.Ex3.m1.3">a</XMTok>
                  </XMApp>
                </XMDual>
                <XMTok role="PUNCT">,</XMTok>
                <XMDual role="ID" xml:id="S2.Ex3.m1.7">
                  <XMApp>
                    <XMTok decl_id="S2.XMD3"/>
                    <XMRef idref="S2.Ex3.m1.1"/>
                    <XMRef idref="S2.Ex3.m1.2"/>
                  </XMApp>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                    <XMTok font="italic" role="UNKNOWN">q</XMTok>
                    <XMWrap>
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN" xml:id="S2.Ex3.m1.1">a</XMTok>
                      <XMTok fontsize="70%" role="PUNCT">,</XMTok>
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN" xml:id="S2.Ex3.m1.2">b</XMTok>
                    </XMWrap>
                  </XMApp>
                </XMDual>
                <XMTok role="PUNCT">,</XMTok>
                <XMApp xml:id="S2.Ex3.m1.8">
                  <XMTok meaning="times" role="MULOP">⁢</XMTok>
                  <XMText> but accidentally </XMText>
                  <XMDual role="ID">
                    <XMApp>
                      <XMTok decl_id="S2.XMD2"/>
                      <XMRef idref="S2.Ex3.m1.4"/>
                    </XMApp>
                    <XMApp>
                      <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                      <XMTok font="italic" role="UNKNOWN">q</XMTok>
                      <XMApp xml:id="S2.Ex3.m1.4">
                        <XMTok fontsize="70%" meaning="plus" role="ADDOP">+</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">a</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                      </XMApp>
                    </XMApp>
                  </XMDual>
                </XMApp>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math>
      </equation>
      <equation xml:id="S2.Ex4">
        <Math mode="display" tex="f,f(a),f(q),f(a,b),\mbox{ but }f(a+b)" text="list@(f, f@(a), f@(q), f@(a, b), [ but ] * f * (a + b))" xml:id="S2.Ex4.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="list"/>
                <XMRef idref="S2.Ex4.m1.8"/>
                <XMRef idref="S2.Ex4.m1.9"/>
                <XMRef idref="S2.Ex4.m1.10"/>
                <XMRef idref="S2.Ex4.m1.11"/>
                <XMRef idref="S2.Ex4.m1.12"/>
              </XMApp>
              <XMWrap>
                <XMTok decl_id="S2.XMD4" font="italic" role="ID" xml:id="S2.Ex4.m1.8">f</XMTok>
                <XMTok role="PUNCT">,</XMTok>
                <XMDual xml:id="S2.Ex4.m1.9">
                  <XMApp>
                    <XMRef idref="S2.Ex4.m1.1"/>
                    <XMRef idref="S2.Ex4.m1.2"/>
                  </XMApp>
                  <XMApp>
                    <XMTok decl_id="S2.XMD5" font="italic" role="FUNCTION" xml:id="S2.Ex4.m1.1">f</XMTok>
                    <XMWrap>
                      <XMTok role="OPEN" stretchy="false">(</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S2.Ex4.m1.2">a</XMTok>
                      <XMTok role="CLOSE" stretchy="false">)</XMTok>
                    </XMWrap>
                  </XMApp>
                </XMDual>
                <XMTok role="PUNCT">,</XMTok>
                <XMDual xml:id="S2.Ex4.m1.10">
                  <XMApp>
                    <XMRef idref="S2.Ex4.m1.3"/>
                    <XMRef idref="S2.Ex4.m1.4"/>
                  </XMApp>
                  <XMApp>
                    <XMTok decl_id="S2.XMD5" font="italic" role="FUNCTION" xml:id="S2.Ex4.m1.3">f</XMTok>
                    <XMWrap>
                      <XMTok role="OPEN" stretchy="false">(</XMTok>
                      <XMTok decl_id="S2.XMD1" font="italic" role="ID" xml:id="S2.Ex4.m1.4">q</XMTok>
                      <XMTok role="CLOSE" stretchy="false">)</XMTok>
                    </XMWrap>
                  </XMApp>
                </XMDual>
                <XMTok role="PUNCT">,</XMTok>
                <XMDual xml:id="S2.Ex4.m1.11">
                  <XMApp>
                    <XMRef idref="S2.Ex4.m1.5"/>
                    <XMRef idref="S2.Ex4.m1.6"/>
                    <XMRef idref="S2.Ex4.m1.7"/>
                  </XMApp>
                  <XMApp>
                    <XMTok decl_id="S2.XMD6" font="italic" role="FUNCTION" xml:id="S2.Ex4.m1.5">f</XMTok>
                    <XMWrap>
                      <XMTok role="OPEN" stretchy="false">(</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S2.Ex4.m1.6">a</XMTok>
                      <XMTok role="PUNCT">,</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S2.Ex4.m1.7">b</XMTok>
                      <XMTok role="CLOSE" stretchy="false">)</XMTok>
                    </XMWrap>
                  </XMApp>
                </XMDual>
                <XMTok role="PUNCT">,</XMTok>
                <XMApp xml:id="S2.Ex4.m1.12">
                  <XMTok meaning="times" role="MULOP">⁢</XMTok>
                  <XMText> but </XMText>
                  <XMTok decl_id="S2.XMD4" font="italic" role="ID">f</XMTok>
                  <XMDual>
                    <XMRef idref="S2.Ex4.m1.12.1"/>
                    <XMWrap>
                      <XMTok role="OPEN" stretchy="false">(</XMTok>
                      <XMApp xml:id="S2.Ex4.m1.12.1">
                        <XMTok meaning="plus" role="ADDOP">+</XMTok>
                        <XMTok font="italic" role="UNKNOWN">a</XMTok>
                        <XMTok font="italic" role="UNKNOWN">b</XMTok>
                      </XMApp>
                      <XMTok role="CLOSE" stretchy="false">)</XMTok>
                    </XMWrap>
                  </XMDual>
                </XMApp>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math>
      </equation>
      <equation xml:id="S2.Ex5">
        <Math mode="display" tex="g,g(a),g(a)(b)" text="list@(g, g * a, (g * a)@(b))" xml:id="S2.Ex5.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="list"/>
                <XMRef idref="S2.Ex5.m1.9"/>
                <XMRef idref="S2.Ex5.m1.10"/>
                <XMRef idref="S2.Ex5.m1.11"/>
              </XMApp>
              <XMWrap>
                <XMTok decl_id="S2.XMD9" font="italic" role="ID" xml:id="S2.Ex5.m1.9">g</XMTok>
                <XMTok role="PUNCT">,</XMTok>
                <XMDual role="FUNCTION" xml:id="S2.Ex5.m1.10">
                  <XMApp>
                    <XMTok decl_id="S2.XMD10"/>
                    <XMRef idref="S2.Ex5.m1.1"/>
                    <XMRef idref="S2.Ex5.m1.2"/>
                    <XMRef idref="S2.Ex5.m1.3"/>
                  </XMApp>
                  <XMApp>
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMTok font="italic" role="UNKNOWN">g</XMTok>
                    <XMWrap>
                      <XMTok role="OPEN" stretchy="false" xml:id="S2.Ex5.m1.1">(</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S2.Ex5.m1.2">a</XMTok>
                      <XMTok role="CLOSE" stretchy="false" xml:id="S2.Ex5.m1.3">)</XMTok>
                    </XMWrap>
                  </XMApp>
                </XMDual>
                <XMTok role="PUNCT">,</XMTok>
                <XMDual xml:id="S2.Ex5.m1.11">
                  <XMApp>
                    <XMRef idref="S2.Ex5.m1.7"/>
                    <XMRef idref="S2.Ex5.m1.8"/>
                  </XMApp>
                  <XMApp>
                    <XMDual role="FUNCTION" xml:id="S2.Ex5.m1.7">
                      <XMApp>
                        <XMTok decl_id="S2.XMD10"/>
                        <XMRef idref="S2.Ex5.m1.4"/>
                        <XMRef idref="S2.Ex5.m1.5"/>
                        <XMRef idref="S2.Ex5.m1.6"/>
                      </XMApp>
                      <XMApp>
                        <XMTok meaning="times" role="MULOP">⁢</XMTok>
                        <XMTok font="italic" role="UNKNOWN">g</XMTok>
                        <XMWrap>
                          <XMTok role="OPEN" stretchy="false" xml:id="S2.Ex5.m1.4">(</XMTok>
                          <XMTok font="italic" role="UNKNOWN" xml:id="S2.Ex5.m1.5">a</XMTok>
                          <XMTok role="CLOSE" stretchy="false" xml:id="S2.Ex5.m1.6">)</XMTok>
                        </XMWrap>
                      </XMApp>
                    </XMDual>
                    <XMWrap>
                      <XMTok role="OPEN" stretchy="false">(</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S2.Ex5.m1.8">b</XMTok>
                      <XMTok role="CLOSE" stretchy="false">)</XMTok>
                    </XMWrap>
                  </XMApp>
                </XMDual>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math>
      </equation>
      <equation xml:id="S2.Ex6">
        <Math mode="display" tex="z(a+b),\widehat{z}(a)" text="list@(z * (a + b), (widehat@(z))@(a))" xml:id="S2.Ex6.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="list"/>
                <XMRef idref="S2.Ex6.m1.4"/>
                <XMRef idref="S2.Ex6.m1.5"/>
              </XMApp>
              <XMWrap>
                <XMApp xml:id="S2.Ex6.m1.4">
                  <XMTok meaning="times" role="MULOP">⁢</XMTok>
                  <XMTok decl_id="S2.XMD7" font="italic" role="ID">z</XMTok>
                  <XMDual>
                    <XMRef idref="S2.Ex6.m1.4.1"/>
                    <XMWrap>
                      <XMTok role="OPEN" stretchy="false">(</XMTok>
                      <XMApp xml:id="S2.Ex6.m1.4.1">
                        <XMTok meaning="plus" role="ADDOP">+</XMTok>
                        <XMTok font="italic" role="UNKNOWN">a</XMTok>
                        <XMTok font="italic" role="UNKNOWN">b</XMTok>
                      </XMApp>
                      <XMTok role="CLOSE" stretchy="false">)</XMTok>
                    </XMWrap>
                  </XMDual>
                </XMApp>
                <XMTok role="PUNCT">,</XMTok>
                <XMDual xml:id="S2.Ex6.m1.5">
                  <XMApp>
                    <XMRef idref="S2.Ex6.m1.2"/>
                    <XMRef idref="S2.Ex6.m1.3"/>
                  </XMApp>
                  <XMApp>
                    <XMApp role="FUNCTION" xml:id="S2.Ex6.m1.2">
                      <XMTok decl_id="S2.XMD8" name="widehat" role="OVERACCENT">^</XMTok>
                      <XMTok decl_id="S2.XMD7" font="italic" role="ID" xml:id="S2.Ex6.m1.1">z</XMTok>
                    </XMApp>
                    <XMWrap>
                      <XMTok role="OPEN" stretchy="false">(</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S2.Ex6.m1.3">a</XMTok>
                      <XMTok role="CLOSE" stretchy="false">)</XMTok>
                    </XMWrap>
                  </XMApp>
                </XMDual>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math>
      </equation>
    </para>
  </section>
  <section inlist="toc" xml:id="S3">
    <tags>
      <tag>3</tag>
      <tag role="refnum">3</tag>
      <tag role="typerefnum">§3</tag>
    </tags>
    <title><tag close=" ">3</tag>Practical</title>
    <declare xml:id="S3.XMD1">
      <text>variable</text>
    </declare>
    <declare xml:id="S3.XMD2">
      <text>integer</text>
    </declare>
    <declare xml:id="S3.XMD3">
      <text>function</text>
    </declare>
    <declare xml:id="S3.XMD4">
      <text>coefficient</text>
    </declare>
    <para xml:id="S3.p1">
      <equation xml:id="S3.Ex7">
        <Math mode="display" tex="f(x)=\sum_{i=0}^{\infty}f_{i}x^{i}" text="f@(x) = ((sum _ (i = 0)) ^ infinity)@(f _ i * x ^ i)" xml:id="S3.Ex7.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMDual>
                <XMApp>
                  <XMRef idref="S3.Ex7.m1.2"/>
                  <XMRef idref="S3.Ex7.m1.3"/>
                </XMApp>
                <XMApp>
                  <XMTok decl_id="S3.XMD3" font="italic" role="FUNCTION" xml:id="S3.Ex7.m1.2">f</XMTok>
                  <XMWrap>
                    <XMTok role="OPEN" stretchy="false">(</XMTok>
                    <XMTok decl_id="S3.XMD1" font="italic" role="ID" xml:id="S3.Ex7.m1.3">x</XMTok>
                    <XMTok role="CLOSE" stretchy="false">)</XMTok>
                  </XMWrap>
                </XMApp>
              </XMDual>
              <XMApp>
                <XMApp scriptpos="mid">
                  <XMTok role="SUPERSCRIPTOP" scriptpos="mid1"/>
                  <XMApp scriptpos="mid">
                    <XMTok role="SUBSCRIPTOP" scriptpos="mid1"/>
                    <XMTok mathstyle="display" meaning="sum" role="SUMOP" scriptpos="mid">∑</XMTok>
                    <XMApp>
                      <XMTok fontsize="70%" meaning="equals" role="RELOP">=</XMTok>
                      <XMTok decl_id="S3.XMD2" font="italic" fontsize="70%" role="ID">i</XMTok>
                      <XMTok fontsize="70%" meaning="0" role="NUMBER">0</XMTok>
                    </XMApp>
                  </XMApp>
                  <XMTok fontsize="70%" meaning="infinity" name="infty" role="ID">∞</XMTok>
                </XMApp>
                <XMApp>
                  <XMTok meaning="times" role="MULOP">⁢</XMTok>
                  <XMDual role="ID">
                    <XMApp>
                      <XMTok decl_id="S3.XMD4"/>
                      <XMRef idref="S3.Ex7.m1.1"/>
                    </XMApp>
                    <XMApp>
                      <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                      <XMTok font="italic" role="UNKNOWN">f</XMTok>
                      <XMTok decl_id="S3.XMD2" font="italic" fontsize="70%" role="ID" xml:id="S3.Ex7.m1.1">i</XMTok>
                    </XMApp>
                  </XMDual>
                  <XMApp>
                    <XMTok role="SUPERSCRIPTOP" scriptpos="post1"/>
                    <XMTok decl_id="S3.XMD1" font="italic" role="ID">x</XMTok>
                    <XMTok decl_id="S3.XMD2" font="italic" fontsize="70%" role="ID">i</XMTok>
                  </XMApp>
                </XMApp>
              </XMApp>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
  </section>
  <section inlist="toc" xml:id="S4">
    <tags>
      <tag>4</tag>
      <tag role="refnum">4</tag>
      <tag role="typerefnum">§4</tag>
    </tags>
    <title><tag close=" ">4</tag>Impractical</title>
    <declare xml:id="S4.XMD1">
      <text>bafter</text>
    </declare>
    <declare xml:id="S4.XMD2">
      <text>cafter</text>
    </declare>
    <para xml:id="S4.p1">
      <equation xml:id="S4.Ex8">
        <Math mode="display" tex="a,b,c,ab,bc,abc" text="list@(a, b, c, a * b, b * c, a * b * c)" xml:id="S4.Ex8.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="list"/>
                <XMRef idref="S4.Ex8.m1.1"/>
                <XMRef idref="S4.Ex8.m1.2"/>
                <XMRef idref="S4.Ex8.m1.3"/>
                <XMRef idref="S4.Ex8.m1.4"/>
                <XMRef idref="S4.Ex8.m1.5"/>
                <XMRef idref="S4.Ex8.m1.6"/>
              </XMApp>
              <XMWrap>
                <XMTok font="italic" role="UNKNOWN" xml:id="S4.Ex8.m1.1">a</XMTok>
                <XMTok role="PUNCT">,</XMTok>
                <XMTok font="italic" role="UNKNOWN" xml:id="S4.Ex8.m1.2">b</XMTok>
                <XMTok role="PUNCT">,</XMTok>
                <XMTok font="italic" role="UNKNOWN" xml:id="S4.Ex8.m1.3">c</XMTok>
                <XMTok role="PUNCT">,</XMTok>
                <XMApp xml:id="S4.Ex8.m1.4">
                  <XMTok meaning="times" role="MULOP">⁢</XMTok>
                  <XMTok font="italic" role="UNKNOWN">a</XMTok>
                  <XMTok decl_id="S4.XMD1" font="italic" role="UNKNOWN">b</XMTok>
                </XMApp>
                <XMTok role="PUNCT">,</XMTok>
                <XMApp xml:id="S4.Ex8.m1.5">
                  <XMTok meaning="times" role="MULOP">⁢</XMTok>
                  <XMTok font="italic" role="UNKNOWN">b</XMTok>
                  <XMTok font="italic" role="UNKNOWN">c</XMTok>
                </XMApp>
                <XMTok role="PUNCT">,</XMTok>
                <XMApp xml:id="S4.Ex8.m1.6">
                  <XMTok meaning="times" role="MULOP">⁢</XMTok>
                  <XMTok font="italic" role="UNKNOWN">a</XMTok>
                  <XMTok decl_id="S4.XMD1" font="italic" role="UNKNOWN">b</XMTok>
                  <XMTok decl_id="S4.XMD2" font="italic" role="UNKNOWN">c</XMTok>
                </XMApp>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math>
      </equation>
      <declare xml:id="S4.XMD3">
        <text>transformation</text>
      </declare>
      <declare xml:id="S4.XMD4">
        <text>sign</text>
      </declare>
      <equation xml:id="S4.Ex9">
        <Math mode="display" tex="\varepsilon,\varepsilon_{1},\mathcal{T}_{\varepsilon},\mathcal{T}_{\varepsilon%&#10;_{1}},\mathcal{T}_{\varepsilon_{1},\varepsilon_{2},\varepsilon_{3}}" text="list@(varepsilon, varepsilon _ 1, T _ varepsilon, T _ varepsilon _ 1, T _ (list@(varepsilon _ 1, varepsilon _ 2, varepsilon _ 3)))" xml:id="S4.Ex9.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="list"/>
                <XMRef idref="S4.Ex9.m1.9"/>
                <XMRef idref="S4.Ex9.m1.10"/>
                <XMRef idref="S4.Ex9.m1.11"/>
                <XMRef idref="S4.Ex9.m1.12"/>
                <XMRef idref="S4.Ex9.m1.13"/>
              </XMApp>
              <XMWrap>
                <XMTok font="italic" name="varepsilon" role="UNKNOWN" xml:id="S4.Ex9.m1.9">ε</XMTok>
                <XMTok role="PUNCT">,</XMTok>
                <XMDual role="ID" xml:id="S4.Ex9.m1.10">
                  <XMApp>
                    <XMTok decl_id="S4.XMD4"/>
                    <XMRef idref="S4.Ex9.m1.1"/>
                  </XMApp>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                    <XMTok font="italic" name="varepsilon" role="UNKNOWN">ε</XMTok>
                    <XMTok fontsize="70%" meaning="1" role="NUMBER" xml:id="S4.Ex9.m1.1">1</XMTok>
                  </XMApp>
                </XMDual>
                <XMTok role="PUNCT">,</XMTok>
                <XMDual role="ID" xml:id="S4.Ex9.m1.11">
                  <XMApp>
                    <XMTok decl_id="S4.XMD3"/>
                    <XMRef idref="S4.Ex9.m1.6"/>
                  </XMApp>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                    <XMTok font="caligraphic" role="UNKNOWN">T</XMTok>
                    <XMTok font="italic" fontsize="70%" name="varepsilon" role="UNKNOWN" xml:id="S4.Ex9.m1.6">ε</XMTok>
                  </XMApp>
                </XMDual>
                <XMTok role="PUNCT">,</XMTok>
                <XMDual role="ID" xml:id="S4.Ex9.m1.12">
                  <XMApp>
                    <XMTok decl_id="S4.XMD3"/>
                    <XMRef idref="S4.Ex9.m1.7"/>
                  </XMApp>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                    <XMTok font="caligraphic" role="UNKNOWN">T</XMTok>
                    <XMDual role="ID" xml:id="S4.Ex9.m1.7">
                      <XMApp>
                        <XMTok decl_id="S4.XMD4"/>
                        <XMRef idref="S4.Ex9.m1.2"/>
                      </XMApp>
                      <XMApp>
                        <XMTok role="SUBSCRIPTOP" scriptpos="post2"/>
                        <XMTok font="italic" fontsize="70%" name="varepsilon" role="UNKNOWN">ε</XMTok>
                        <XMTok fontsize="50%" meaning="1" role="NUMBER" xml:id="S4.Ex9.m1.2">1</XMTok>
                      </XMApp>
                    </XMDual>
                  </XMApp>
                </XMDual>
                <XMTok role="PUNCT">,</XMTok>
                <XMDual role="ID" xml:id="S4.Ex9.m1.13">
                  <XMApp>
                    <XMTok decl_id="S4.XMD3"/>
                    <XMRef idref="S4.Ex9.m1.8"/>
                  </XMApp>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                    <XMTok font="caligraphic" role="UNKNOWN">T</XMTok>
                    <XMDual xml:id="S4.Ex9.m1.8">
                      <XMApp>
                        <XMTok meaning="list"/>
                        <XMRef idref="S4.Ex9.m1.8.1"/>
                        <XMRef idref="S4.Ex9.m1.8.2"/>
                        <XMRef idref="S4.Ex9.m1.8.3"/>
                      </XMApp>
                      <XMWrap>
                        <XMDual role="ID" xml:id="S4.Ex9.m1.8.1">
                          <XMApp>
                            <XMTok decl_id="S4.XMD4"/>
                            <XMRef idref="S4.Ex9.m1.3"/>
                          </XMApp>
                          <XMApp>
                            <XMTok role="SUBSCRIPTOP" scriptpos="post2"/>
                            <XMTok font="italic" fontsize="70%" name="varepsilon" role="UNKNOWN">ε</XMTok>
                            <XMTok fontsize="50%" meaning="1" role="NUMBER" xml:id="S4.Ex9.m1.3">1</XMTok>
                          </XMApp>
                        </XMDual>
                        <XMTok fontsize="70%" role="PUNCT">,</XMTok>
                        <XMDual role="ID" xml:id="S4.Ex9.m1.8.2">
                          <XMApp>
                            <XMTok decl_id="S4.XMD4"/>
                            <XMRef idref="S4.Ex9.m1.4"/>
                          </XMApp>
                          <XMApp>
                            <XMTok role="SUBSCRIPTOP" scriptpos="post2"/>
                            <XMTok font="italic" fontsize="70%" name="varepsilon" role="UNKNOWN">ε</XMTok>
                            <XMTok fontsize="50%" meaning="2" role="NUMBER" xml:id="S4.Ex9.m1.4">2</XMTok>
                          </XMApp>
                        </XMDual>
                        <XMTok fontsize="70%" role="PUNCT">,</XMTok>
                        <XMDual role="ID" xml:id="S4.Ex9.m1.8.3">
                          <XMApp>
                            <XMTok decl_id="S4.XMD4"/>
                            <XMRef idref="S4.Ex9.m1.5"/>
                          </XMApp>
                          <XMApp>
                            <XMTok role="SUBSCRIPTOP" scriptpos="post2"/>
                            <XMTok font="italic" fontsize="70%" name="varepsilon" role="UNKNOWN">ε</XMTok>
                            <XMTok fontsize="50%" meaning="3" role="NUMBER" xml:id="S4.Ex9.m1.5">3</XMTok>
                          </XMApp>
                        </XMDual>
                      </XMWrap>
                    </XMDual>
                  </XMApp>
                </XMDual>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math>
      </equation>
    </para>
  </section>
  <section inlist="toc" xml:id="S5">
    <tags>
      <tag>5</tag>
      <tag role="refnum">5</tag>
      <tag role="typerefnum">§5</tag>
    </tags>
    <title><tag close=" ">5</tag>Declaration order</title>
    <declare xml:id="S5.XMD1">
      <text>sign</text>
    </declare>
    <declare xml:id="S5.XMD2">
      <text>transformation</text>
    </declare>
    <para xml:id="S5.p1">
      <equation xml:id="S5.Ex10">
        <Math mode="display" tex="\varepsilon,\varepsilon_{1},\mathcal{T}_{\varepsilon},\mathcal{T}_{\varepsilon%&#10;_{1}},\mathcal{T}_{\varepsilon_{1},\varepsilon_{2},\varepsilon_{3}}" text="list@(varepsilon, varepsilon _ 1, T _ varepsilon, T _ varepsilon _ 1, T _ (list@(varepsilon _ 1, varepsilon _ 2, varepsilon _ 3)))" xml:id="S5.Ex10.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="list"/>
                <XMRef idref="S5.Ex10.m1.5"/>
                <XMRef idref="S5.Ex10.m1.6"/>
                <XMRef idref="S5.Ex10.m1.7"/>
                <XMRef idref="S5.Ex10.m1.8"/>
                <XMRef idref="S5.Ex10.m1.9"/>
              </XMApp>
              <XMWrap>
                <XMTok font="italic" name="varepsilon" role="UNKNOWN" xml:id="S5.Ex10.m1.5">ε</XMTok>
                <XMTok role="PUNCT">,</XMTok>
                <XMDual role="ID" xml:id="S5.Ex10.m1.6">
                  <XMApp>
                    <XMTok decl_id="S5.XMD1"/>
                    <XMRef idref="S5.Ex10.m1.4"/>
                  </XMApp>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                    <XMTok font="italic" name="varepsilon" role="UNKNOWN">ε</XMTok>
                    <XMTok fontsize="70%" meaning="1" role="NUMBER" xml:id="S5.Ex10.m1.4">1</XMTok>
                  </XMApp>
                </XMDual>
                <XMTok role="PUNCT">,</XMTok>
                <XMDual role="ID" xml:id="S5.Ex10.m1.7">
                  <XMApp>
                    <XMTok decl_id="S5.XMD2"/>
                    <XMRef idref="S5.Ex10.m1.1"/>
                  </XMApp>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                    <XMTok font="caligraphic" role="UNKNOWN">T</XMTok>
                    <XMTok font="italic" fontsize="70%" name="varepsilon" role="UNKNOWN" xml:id="S5.Ex10.m1.1">ε</XMTok>
                  </XMApp>
                </XMDual>
                <XMTok role="PUNCT">,</XMTok>
                <XMDual role="ID" xml:id="S5.Ex10.m1.8">
                  <XMApp>
                    <XMTok decl_id="S5.XMD2"/>
                    <XMRef idref="S5.Ex10.m1.2"/>
                  </XMApp>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                    <XMTok font="caligraphic" role="UNKNOWN">T</XMTok>
                    <XMDual role="ID" xml:id="S5.Ex10.m1.2">
                      <XMApp>
                        <XMTok decl_id="S5.XMD1"/>
                        <XMRef idref="S5.Ex10.m1.2.1"/>
                      </XMApp>
                      <XMApp>
                        <XMTok role="SUBSCRIPTOP" scriptpos="post2"/>
                        <XMTok font="italic" fontsize="70%" name="varepsilon" role="UNKNOWN">ε</XMTok>
                        <XMTok fontsize="50%" meaning="1" role="NUMBER" xml:id="S5.Ex10.m1.2.1">1</XMTok>
                      </XMApp>
                    </XMDual>
                  </XMApp>
                </XMDual>
                <XMTok role="PUNCT">,</XMTok>
                <XMDual role="ID" xml:id="S5.Ex10.m1.9">
                  <XMApp>
                    <XMTok decl_id="S5.XMD2"/>
                    <XMRef idref="S5.Ex10.m1.3"/>
                  </XMApp>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                    <XMTok font="caligraphic" role="UNKNOWN">T</XMTok>
                    <XMDual xml:id="S5.Ex10.m1.3">
                      <XMApp>
                        <XMTok meaning="list"/>
                        <XMRef idref="S5.Ex10.m1.3.4"/>
                        <XMRef idref="S5.Ex10.m1.3.5"/>
                        <XMRef idref="S5.Ex10.m1.3.6"/>
                      </XMApp>
                      <XMWrap>
                        <XMDual role="ID" xml:id="S5.Ex10.m1.3.4">
                          <XMApp>
                            <XMTok decl_id="S5.XMD1"/>
                            <XMRef idref="S5.Ex10.m1.3.1"/>
                          </XMApp>
                          <XMApp>
                            <XMTok role="SUBSCRIPTOP" scriptpos="post2"/>
                            <XMTok font="italic" fontsize="70%" name="varepsilon" role="UNKNOWN">ε</XMTok>
                            <XMTok fontsize="50%" meaning="1" role="NUMBER" xml:id="S5.Ex10.m1.3.1">1</XMTok>
                          </XMApp>
                        </XMDual>
                        <XMTok fontsize="70%" role="PUNCT">,</XMTok>
                        <XMDual role="ID" xml:id="S5.Ex10.m1.3.5">
                          <XMApp>
                            <XMTok decl_id="S5.XMD1"/>
                            <XMRef idref="S5.Ex10.m1.3.2"/>
                          </XMApp>
                          <XMApp>
                            <XMTok role="SUBSCRIPTOP" scriptpos="post2"/>
                            <XMTok font="italic" fontsize="70%" name="varepsilon" role="UNKNOWN">ε</XMTok>
                            <XMTok fontsize="50%" meaning="2" role="NUMBER" xml:id="S5.Ex10.m1.3.2">2</XMTok>
                          </XMApp>
                        </XMDual>
                        <XMTok fontsize="70%" role="PUNCT">,</XMTok>
                        <XMDual role="ID" xml:id="S5.Ex10.m1.3.6">
                          <XMApp>
                            <XMTok decl_id="S5.XMD1"/>
                            <XMRef idref="S5.Ex10.m1.3.3"/>
                          </XMApp>
                          <XMApp>
                            <XMTok role="SUBSCRIPTOP" scriptpos="post2"/>
                            <XMTok font="italic" fontsize="70%" name="varepsilon" role="UNKNOWN">ε</XMTok>
                            <XMTok fontsize="50%" meaning="3" role="NUMBER" xml:id="S5.Ex10.m1.3.3">3</XMTok>
                          </XMApp>
                        </XMDual>
                      </XMWrap>
                    </XMDual>
                  </XMApp>
                </XMDual>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math>
      </equation>
    </para>
  </section>
  <section inlist="toc" xml:id="S6">
    <tags>
      <tag>6</tag>
      <tag role="refnum">6</tag>
      <tag role="typerefnum">§6</tag>
    </tags>
    <title><tag close=" ">6</tag>Notations?</title>
    <declare xml:id="S6.XMD1">
      <text>Baz</text>
    </declare>
    <declare xml:id="S6.XMD2">
      <text>Plus</text>
    </declare>
    <declare xml:id="S6.XMD3">
      <text>Foo</text>
    </declare>
    <declare xml:id="S6.XMD4">
      <text>Oddball</text>
    </declare>
    <declare xml:id="S6.XMD5">
      <text>Weird</text>
    </declare>
    <para xml:id="S6.p1">
      <equation xml:id="S6.Ex11">
        <Math content-tex="a\plus b;\baz,\foo{x},\foo{j}" mode="display" tex="a+b;\mathbf{baz},\mathbf{foo}{x},\mathbf{foo}{j}" text="list@(a + b, foo, foo * x, foo * j)" xml:id="S6.Ex11.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="list"/>
                <XMRef idref="S6.Ex11.m1.2"/>
                <XMRef idref="S6.Ex11.m1.1"/>
                <XMRef idref="S6.Ex11.m1.3"/>
                <XMRef idref="S6.Ex11.m1.4"/>
              </XMApp>
              <XMWrap>
                <XMApp xml:id="S6.Ex11.m1.2">
                  <XMTok decl_id="S6.XMD2" font="italic" name="plus" role="ADDOP">+</XMTok>
                  <XMTok font="italic" role="UNKNOWN">a</XMTok>
                  <XMTok font="italic" role="UNKNOWN">b</XMTok>
                </XMApp>
                <XMTok role="PUNCT">;</XMTok>
                <XMTok decl_id="S6.XMD1" font="bold" meaning="foo" name="baz" role="UNKNOWN" xml:id="S6.Ex11.m1.1">baz</XMTok>
                <XMTok role="PUNCT">,</XMTok>
                <XMApp xml:id="S6.Ex11.m1.3">
                  <XMTok meaning="times" role="MULOP">⁢</XMTok>
                  <XMTok decl_id="S6.XMD3" font="bold" meaning="foo" role="UNKNOWN">foo</XMTok>
                  <XMTok font="italic" role="UNKNOWN">x</XMTok>
                </XMApp>
                <XMTok role="PUNCT">,</XMTok>
                <XMApp xml:id="S6.Ex11.m1.4">
                  <XMTok meaning="times" role="MULOP">⁢</XMTok>
                  <XMTok decl_id="S6.XMD3" font="bold" meaning="foo" role="UNKNOWN">foo</XMTok>
                  <XMTok font="italic" role="UNKNOWN">j</XMTok>
                </XMApp>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math>
      </equation>
      <equation xml:id="S6.Ex12">
        <Math content-tex="\oddball{a}{j};\oddball{abc}{j}" mode="display" tex="\left|\left(a\right)_{j}\right|;\left|\left(abc\right)_{j}\right|" text="list@(oddball@(a, j), oddball@(a * b * c, j))" xml:id="S6.Ex12.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="list"/>
                <XMRef idref="S6.Ex12.m1.7"/>
                <XMRef idref="S6.Ex12.m1.8"/>
              </XMApp>
              <XMWrap>
                <XMDual xml:id="S6.Ex12.m1.7">
                  <XMApp>
                    <XMTok decl_id="S6.XMD4" name="oddball" role="UNKNOWN"/>
                    <XMRef idref="S6.Ex12.m1.1"/>
                    <XMRef idref="S6.Ex12.m1.2"/>
                  </XMApp>
                  <XMWrap>
                    <XMTok role="VERTBAR" stretchy="true">|</XMTok>
                    <XMApp xml:id="S6.Ex12.m1.5">
                      <XMTok role="SUBSCRIPTOP" scriptpos="post2"/>
                      <XMWrap>
                        <XMTok role="OPEN" stretchy="true">(</XMTok>
                        <XMTok font="italic" role="UNKNOWN" xml:id="S6.Ex12.m1.1">a</XMTok>
                        <XMTok role="CLOSE" stretchy="true">)</XMTok>
                      </XMWrap>
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN" xml:id="S6.Ex12.m1.2">j</XMTok>
                    </XMApp>
                    <XMTok role="VERTBAR" stretchy="true">|</XMTok>
                  </XMWrap>
                </XMDual>
                <XMTok role="PUNCT">;</XMTok>
                <XMDual xml:id="S6.Ex12.m1.8">
                  <XMApp>
                    <XMTok decl_id="S6.XMD4" name="oddball" role="UNKNOWN"/>
                    <XMRef idref="S6.Ex12.m1.3"/>
                    <XMRef idref="S6.Ex12.m1.4"/>
                  </XMApp>
                  <XMWrap>
                    <XMTok role="VERTBAR" stretchy="true">|</XMTok>
                    <XMApp xml:id="S6.Ex12.m1.6">
                      <XMTok role="SUBSCRIPTOP" scriptpos="post2"/>
                      <XMWrap>
                        <XMTok role="OPEN" stretchy="true">(</XMTok>
                        <XMApp xml:id="S6.Ex12.m1.3">
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok font="italic" role="UNKNOWN">a</XMTok>
                          <XMTok font="italic" role="UNKNOWN">b</XMTok>
                          <XMTok font="italic" role="UNKNOWN">c</XMTok>
                        </XMApp>
                        <XMTok role="CLOSE" stretchy="true">)</XMTok>
                      </XMWrap>
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN" xml:id="S6.Ex12.m1.4">j</XMTok>
                    </XMApp>
                    <XMTok role="VERTBAR" stretchy="true">|</XMTok>
                  </XMWrap>
                </XMDual>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math>
      </equation>
      <equation xml:id="S6.Ex13">
        <Math content-tex="\weird{a}{j};\weird{abc}{j}" mode="display" tex="\left(\left[a\right]_{j}\right);\left(\left[abc\right]_{j}\right)" text="list@(weird@(a, j), weird@(a * b * c, j))" xml:id="S6.Ex13.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="list"/>
                <XMRef idref="S6.Ex13.m1.7"/>
                <XMRef idref="S6.Ex13.m1.8"/>
              </XMApp>
              <XMWrap>
                <XMDual decl_id="S6.XMD5" xml:id="S6.Ex13.m1.7">
                  <XMApp>
                    <XMTok name="weird" role="UNKNOWN"/>
                    <XMRef idref="S6.Ex13.m1.1"/>
                    <XMRef idref="S6.Ex13.m1.2"/>
                  </XMApp>
                  <XMWrap>
                    <XMTok role="OPEN" stretchy="true">(</XMTok>
                    <XMApp xml:id="S6.Ex13.m1.5">
                      <XMTok role="SUBSCRIPTOP" scriptpos="post2"/>
                      <XMWrap>
                        <XMTok role="OPEN" stretchy="true">[</XMTok>
                        <XMTok font="italic" role="UNKNOWN" xml:id="S6.Ex13.m1.1">a</XMTok>
                        <XMTok role="CLOSE" stretchy="true">]</XMTok>
                      </XMWrap>
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN" xml:id="S6.Ex13.m1.2">j</XMTok>
                    </XMApp>
                    <XMTok role="CLOSE" stretchy="true">)</XMTok>
                  </XMWrap>
                </XMDual>
                <XMTok role="PUNCT">;</XMTok>
                <XMDual decl_id="S6.XMD5" xml:id="S6.Ex13.m1.8">
                  <XMApp>
                    <XMTok name="weird" role="UNKNOWN"/>
                    <XMRef idref="S6.Ex13.m1.3"/>
                    <XMRef idref="S6.Ex13.m1.4"/>
                  </XMApp>
                  <XMWrap>
                    <XMTok role="OPEN" stretchy="true">(</XMTok>
                    <XMApp xml:id="S6.Ex13.m1.6">
                      <XMTok role="SUBSCRIPTOP" scriptpos="post2"/>
                      <XMWrap>
                        <XMTok role="OPEN" stretchy="true">[</XMTok>
                        <XMApp xml:id="S6.Ex13.m1.3">
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok font="italic" role="UNKNOWN">a</XMTok>
                          <XMTok font="italic" role="UNKNOWN">b</XMTok>
                          <XMTok font="italic" role="UNKNOWN">c</XMTok>
                        </XMApp>
                        <XMTok role="CLOSE" stretchy="true">]</XMTok>
                      </XMWrap>
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN" xml:id="S6.Ex13.m1.4">j</XMTok>
                    </XMApp>
                    <XMTok role="CLOSE" stretchy="true">)</XMTok>
                  </XMWrap>
                </XMDual>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math>
      </equation>
    </para>
  </section>
  <section inlist="toc" xml:id="S7">
    <tags>
      <tag>7</tag>
      <tag role="refnum">7</tag>
      <tag role="typerefnum">§7</tag>
    </tags>
    <title><tag close=" ">7</tag>More detail</title>
    <declare xml:id="S7.XMD1">
      <tags>
        <tag role="term"><Math mode="inline" tex="x" text="x" xml:id="S7.XMD1.m1">
            <XMath>
              <XMTok decl_id="S7.XMD1" font="italic" role="ID">x</XMTok>
            </XMath>
          </Math></tag>
        <tag role="short">variable</tag>
      </tags>
      <text> a real variable</text>
    </declare>
    <declare xml:id="S7.XMD2">
      <tags>
        <tag role="term"><Math mode="inline" tex="i" text="i" xml:id="S7.XMD2.m1">
            <XMath>
              <XMTok decl_id="S7.XMD2" font="italic" role="ID">i</XMTok>
            </XMath>
          </Math></tag>
        <tag role="short"> an integer variable</tag>
      </tags>
      <text> an integer variable</text>
    </declare>
    <declare xml:id="S7.XMD3">
      <tags>
        <tag role="term"><Math mode="inline" tex="f(x)" text="f@(x)" xml:id="S7.XMD3.m1">
            <XMath>
              <XMDual>
                <XMApp>
                  <XMRef idref="S7.XMD3.m1.1"/>
                  <XMRef idref="S7.XMD3.m1.2"/>
                </XMApp>
                <XMApp>
                  <XMTok decl_id="S7.XMD3" font="italic" role="FUNCTION" xml:id="S7.XMD3.m1.1">f</XMTok>
                  <XMWrap>
                    <XMTok role="OPEN" stretchy="false">(</XMTok>
                    <XMTok decl_id="S7.XMD1" font="italic" role="ID" xml:id="S7.XMD3.m1.2">x</XMTok>
                    <XMTok role="CLOSE" stretchy="false">)</XMTok>
                  </XMWrap>
                </XMApp>
              </XMDual>
            </XMath>
          </Math></tag>
        <tag role="short">function</tag>
      </tags>
      <text> a function of reals</text>
    </declare>
    <declare xml:id="S7.XMD4">
      <tags>
        <tag role="term"><Math mode="inline" tex="f_{i}" text="f _ i" xml:id="S7.XMD4.m1">
            <XMath>
              <XMDual role="ID">
                <XMApp>
                  <XMTok decl_id="S7.XMD4"/>
                  <XMRef idref="S7.XMD4.m1.1"/>
                </XMApp>
                <XMApp>
                  <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                  <XMTok font="italic" role="UNKNOWN">f</XMTok>
                  <XMTok decl_id="S7.XMD2" font="italic" fontsize="70%" role="ID" xml:id="S7.XMD4.m1.1">i</XMTok>
                </XMApp>
              </XMDual>
            </XMath>
          </Math></tag>
        <tag role="short">coefficient</tag>
      </tags>
      <text> expansion coefficient</text>
    </declare>
    <para xml:id="S7.p1">
      <equation xml:id="S7.Ex14">
        <Math mode="display" tex="f(x)=\sum_{i=0}^{\infty}f_{i}x^{i}" text="f@(x) = ((sum _ (i = 0)) ^ infinity)@(f _ i * x ^ i)" xml:id="S7.Ex14.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMDual>
                <XMApp>
                  <XMRef idref="S7.Ex14.m1.2"/>
                  <XMRef idref="S7.Ex14.m1.3"/>
                </XMApp>
                <XMApp>
                  <XMTok decl_id="S7.XMD3" font="italic" role="FUNCTION" xml:id="S7.Ex14.m1.2">f</XMTok>
                  <XMWrap>
                    <XMTok role="OPEN" stretchy="false">(</XMTok>
                    <XMTok decl_id="S7.XMD1" font="italic" role="ID" xml:id="S7.Ex14.m1.3">x</XMTok>
                    <XMTok role="CLOSE" stretchy="false">)</XMTok>
                  </XMWrap>
                </XMApp>
              </XMDual>
              <XMApp>
                <XMApp scriptpos="mid">
                  <XMTok role="SUPERSCRIPTOP" scriptpos="mid1"/>
                  <XMApp scriptpos="mid">
                    <XMTok role="SUBSCRIPTOP" scriptpos="mid1"/>
                    <XMTok mathstyle="display" meaning="sum" role="SUMOP" scriptpos="mid">∑</XMTok>
                    <XMApp>
                      <XMTok fontsize="70%" meaning="equals" role="RELOP">=</XMTok>
                      <XMTok decl_id="S7.XMD2" font="italic" fontsize="70%" role="ID">i</XMTok>
                      <XMTok fontsize="70%" meaning="0" role="NUMBER">0</XMTok>
                    </XMApp>
                  </XMApp>
                  <XMTok fontsize="70%" meaning="infinity" name="infty" role="ID">∞</XMTok>
                </XMApp>
                <XMApp>
                  <XMTok meaning="times" role="MULOP">⁢</XMTok>
                  <XMDual role="ID">
                    <XMApp>
                      <XMTok decl_id="S7.XMD4"/>
                      <XMRef idref="S7.Ex14.m1.1"/>
                    </XMApp>
                    <XMApp>
                      <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                      <XMTok font="italic" role="UNKNOWN">f</XMTok>
                      <XMTok decl_id="S7.XMD2" font="italic" fontsize="70%" role="ID" xml:id="S7.Ex14.m1.1">i</XMTok>
                    </XMApp>
                  </XMDual>
                  <XMApp>
                    <XMTok role="SUPERSCRIPTOP" scriptpos="post1"/>
                    <XMTok decl_id="S7.XMD1" font="italic" role="ID">x</XMTok>
                    <XMTok decl_id="S7.XMD2" font="italic" fontsize="70%" role="ID">i</XMTok>
                  </XMApp>
                </XMApp>
              </XMApp>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
  </section>
</document>
