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  <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>Sums and Limits</title>
    <paragraph inlist="toc" xml:id="S1.SS0.SSS0.Px1">
      <title>mathclap &amp; friends</title>
      <para xml:id="S1.SS0.SSS0.Px1.p1">
        <equation xml:id="S1.Ex1">
          <Math mode="display" tex="X=\sum_{1\leq i\leq j\leq n}X_{ij}" text="X = (sum _ (1 &lt;= i &lt;= j &lt;= n))@(X _ (i * j))" xml:id="S1.Ex1.m1">
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              <XMApp>
                <XMTok meaning="equals" role="RELOP">=</XMTok>
                <XMTok font="italic" role="UNKNOWN">X</XMTok>
                <XMApp>
                  <XMApp scriptpos="mid">
                    <XMTok role="SUBSCRIPTOP" scriptpos="mid1"/>
                    <XMTok mathstyle="display" meaning="sum" role="SUMOP" scriptpos="mid">∑</XMTok>
                    <XMApp>
                      <XMTok meaning="multirelation"/>
                      <XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
                      <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
                      <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
                      <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
                    </XMApp>
                  </XMApp>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                    <XMTok font="italic" role="UNKNOWN">X</XMTok>
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
                    </XMApp>
                  </XMApp>
                </XMApp>
              </XMApp>
            </XMath>
          </Math>
        </equation>
        <equation xml:id="S1.Ex2">
          <Math mode="display" tex="X=\sum_{\mathclap{1\leq i\leq j\leq n}}X_{ij}" text="X = (sum _ (1 &lt;= i &lt;= j &lt;= n))@(X _ (i * j))" xml:id="S1.Ex2.m1">
            <XMath>
              <XMApp>
                <XMTok meaning="equals" role="RELOP">=</XMTok>
                <XMTok font="italic" role="UNKNOWN">X</XMTok>
                <XMApp>
                  <XMApp scriptpos="mid">
                    <XMTok role="SUBSCRIPTOP" scriptpos="mid1"/>
                    <XMTok mathstyle="display" meaning="sum" role="SUMOP" scriptpos="mid">∑</XMTok>
                    <XMApp width="0pt" xoffset="-18.4pt">
                      <XMTok meaning="multirelation"/>
                      <XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
                      <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
                      <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
                      <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
                    </XMApp>
                  </XMApp>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                    <XMTok font="italic" role="UNKNOWN">X</XMTok>
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
                    </XMApp>
                  </XMApp>
                </XMApp>
              </XMApp>
            </XMath>
          </Math>
        </equation>
        <equation xml:id="S1.Ex3">
          <Math mode="display" tex="X=\sum_{\mathrlap{1\leq i\leq j\leq n}}X_{ij}" text="X = (sum _ (1 &lt;= i &lt;= j &lt;= n))@(X _ (i * j))" xml:id="S1.Ex3.m1">
            <XMath>
              <XMApp>
                <XMTok meaning="equals" role="RELOP">=</XMTok>
                <XMTok font="italic" role="UNKNOWN">X</XMTok>
                <XMApp>
                  <XMApp scriptpos="mid">
                    <XMTok role="SUBSCRIPTOP" scriptpos="mid1"/>
                    <XMTok mathstyle="display" meaning="sum" role="SUMOP" scriptpos="mid">∑</XMTok>
                    <XMApp width="0pt">
                      <XMTok meaning="multirelation"/>
                      <XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
                      <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
                      <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
                      <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
                    </XMApp>
                  </XMApp>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                    <XMTok font="italic" role="UNKNOWN">X</XMTok>
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
                    </XMApp>
                  </XMApp>
                </XMApp>
              </XMApp>
            </XMath>
          </Math>
        </equation>
        <equation xml:id="S1.Ex4">
          <Math mode="display" tex="X=\sum_{\mathllap{1\leq i\leq j\leq n}}X_{ij}" text="X = (sum _ (1 &lt;= i &lt;= j &lt;= n))@(X _ (i * j))" xml:id="S1.Ex4.m1">
            <XMath>
              <XMApp>
                <XMTok meaning="equals" role="RELOP">=</XMTok>
                <XMTok font="italic" role="UNKNOWN">X</XMTok>
                <XMApp>
                  <XMApp scriptpos="mid">
                    <XMTok role="SUBSCRIPTOP" scriptpos="mid1"/>
                    <XMTok mathstyle="display" meaning="sum" role="SUMOP" scriptpos="mid">∑</XMTok>
                    <XMApp width="0pt" xoffset="-36.7pt">
                      <XMTok meaning="multirelation"/>
                      <XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
                      <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
                      <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
                      <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
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                  </XMApp>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                    <XMTok font="italic" role="UNKNOWN">X</XMTok>
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
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                </XMApp>
              </XMApp>
            </XMath>
          </Math>
        </equation>
      </para>
    </paragraph>
    <paragraph inlist="toc" xml:id="S1.SS0.SSS0.Px2">
      <title>Cramped</title>
      <para xml:id="S1.SS0.SSS0.Px2.p1">
        <equation xml:id="S1.Ex5">
          <Math mode="display" tex="\cramped{x^{2}}\leftrightarrow x^{2}\quad\cramped[\scriptstyle]{x^{2}}%&#10;\leftrightarrow{\scriptstyle x^{2}}" text="x ^ 2 leftrightarrow list@(x ^ 2, x ^ 2) leftrightarrow x ^ 2" xml:id="S1.Ex5.m1">
            <XMath>
              <XMApp>
                <XMTok meaning="multirelation"/>
                <XMApp>
                  <XMTok role="SUPERSCRIPTOP" scriptpos="post1"/>
                  <XMTok font="italic" role="UNKNOWN">x</XMTok>
                  <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                </XMApp>
                <XMTok name="leftrightarrow" role="METARELOP">↔</XMTok>
                <XMDual>
                  <XMApp>
                    <XMTok meaning="list"/>
                    <XMRef idref="S1.Ex5.m1.1"/>
                    <XMRef idref="S1.Ex5.m1.2"/>
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                  <XMWrap>
                    <XMApp xml:id="S1.Ex5.m1.1">
                      <XMTok role="SUPERSCRIPTOP" scriptpos="post1"/>
                      <XMTok font="italic" role="UNKNOWN">x</XMTok>
                      <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                    </XMApp>
                    <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                    <XMApp xml:id="S1.Ex5.m1.2">
                      <XMTok role="SUPERSCRIPTOP" scriptpos="post1"/>
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN">x</XMTok>
                      <XMTok fontsize="50%" meaning="2" role="NUMBER">2</XMTok>
                    </XMApp>
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                <XMTok fontsize="70%" name="leftrightarrow" role="METARELOP">↔</XMTok>
                <XMApp>
                  <XMTok role="SUPERSCRIPTOP" scriptpos="post2"/>
                  <XMTok font="italic" fontsize="70%" role="UNKNOWN">x</XMTok>
                  <XMTok fontsize="50%" meaning="2" role="NUMBER">2</XMTok>
                </XMApp>
              </XMApp>
            </XMath>
          </Math>
        </equation>
      </para>
    </paragraph>
    <paragraph inlist="toc" xml:id="S1.SS0.SSS0.Px3">
      <title>Smashoperator</title>
      <para xml:id="S1.SS0.SSS0.Px3.p1">
        <equation xml:id="S1.Ex6">
          <Math mode="display" tex="V=\sum_{1\leq i\leq j\leq n}^{\infty}V_{ij}\quad X=\sum_{1\leq i\leq j\leq n}^%&#10;{3456}X_{ij}\quad Y=\sum\limits_{1\leq i\leq j\leq n}Y_{ij}\quad Z=\mathop{T}_%&#10;{1\leq i\leq j\leq n}Z_{ij}" text="formulae@(V = ((sum _ (1 &lt;= i &lt;= j &lt;= n)) ^ infinity)@(V _ (i * j)), formulae@(X = ((sum _ (1 &lt;= i &lt;= j &lt;= n)) ^ 3456)@(X _ (i * j)), formulae@(Y = (sum _ (1 &lt;= i &lt;= j &lt;= n))@(Y _ (i * j)), Z = (T _ (1 &lt;= i &lt;= j &lt;= n))@(Z _ (i * j)))))" xml:id="S1.Ex6.m1">
            <XMath>
              <XMDual>
                <XMApp>
                  <XMTok meaning="formulae"/>
                  <XMRef idref="S1.Ex6.m1.1"/>
                  <XMRef idref="S1.Ex6.m1.2"/>
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                <XMWrap>
                  <XMApp xml:id="S1.Ex6.m1.1">
                    <XMTok meaning="equals" role="RELOP">=</XMTok>
                    <XMTok font="italic" role="UNKNOWN">V</XMTok>
                    <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 meaning="multirelation"/>
                            <XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
                            <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
                            <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
                            <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
                          </XMApp>
                        </XMApp>
                        <XMTok fontsize="70%" meaning="infinity" name="infty" role="ID">∞</XMTok>
                      </XMApp>
                      <XMApp>
                        <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                        <XMTok font="italic" role="UNKNOWN">V</XMTok>
                        <XMApp>
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
                        </XMApp>
                      </XMApp>
                    </XMApp>
                  </XMApp>
                  <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                  <XMDual xml:id="S1.Ex6.m1.2">
                    <XMApp>
                      <XMTok meaning="formulae"/>
                      <XMRef idref="S1.Ex6.m1.2.1"/>
                      <XMRef idref="S1.Ex6.m1.2.2"/>
                    </XMApp>
                    <XMWrap>
                      <XMApp xml:id="S1.Ex6.m1.2.1">
                        <XMTok meaning="equals" role="RELOP">=</XMTok>
                        <XMTok font="italic" role="UNKNOWN">X</XMTok>
                        <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 meaning="multirelation"/>
                                <XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
                                <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                                <XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
                                <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                                <XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
                                <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                                <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
                              </XMApp>
                            </XMApp>
                            <XMTok fontsize="70%" meaning="3456" role="NUMBER">3456</XMTok>
                          </XMApp>
                          <XMApp>
                            <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                            <XMTok font="italic" role="UNKNOWN">X</XMTok>
                            <XMApp>
                              <XMTok meaning="times" role="MULOP">⁢</XMTok>
                              <XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
                              <XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
                            </XMApp>
                          </XMApp>
                        </XMApp>
                      </XMApp>
                      <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                      <XMDual xml:id="S1.Ex6.m1.2.2">
                        <XMApp>
                          <XMTok meaning="formulae"/>
                          <XMRef idref="S1.Ex6.m1.2.2.1"/>
                          <XMRef idref="S1.Ex6.m1.2.2.2"/>
                        </XMApp>
                        <XMWrap>
                          <XMApp xml:id="S1.Ex6.m1.2.2.1">
                            <XMTok meaning="equals" role="RELOP">=</XMTok>
                            <XMTok font="italic" role="UNKNOWN">Y</XMTok>
                            <XMApp>
                              <XMApp scriptpos="mid">
                                <XMTok role="SUBSCRIPTOP" scriptpos="mid1"/>
                                <XMTok mathstyle="display" meaning="sum" role="SUMOP" scriptpos="mid">∑</XMTok>
                                <XMApp>
                                  <XMTok meaning="multirelation"/>
                                  <XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
                                  <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                                  <XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
                                  <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                                  <XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
                                  <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                                  <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
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                              </XMApp>
                              <XMApp>
                                <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                                <XMTok font="italic" role="UNKNOWN">Y</XMTok>
                                <XMApp>
                                  <XMTok meaning="times" role="MULOP">⁢</XMTok>
                                  <XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
                                  <XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
                                </XMApp>
                              </XMApp>
                            </XMApp>
                          </XMApp>
                          <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                          <XMApp xml:id="S1.Ex6.m1.2.2.2">
                            <XMTok meaning="equals" role="RELOP">=</XMTok>
                            <XMTok font="italic" role="UNKNOWN">Z</XMTok>
                            <XMApp>
                              <XMApp scriptpos="mid">
                                <XMTok role="SUBSCRIPTOP" scriptpos="mid1"/>
                                <XMTok font="italic" role="BIGOP" scriptpos="mid">T</XMTok>
                                <XMApp>
                                  <XMTok meaning="multirelation"/>
                                  <XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
                                  <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                                  <XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
                                  <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                                  <XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
                                  <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                                  <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
                                </XMApp>
                              </XMApp>
                              <XMApp>
                                <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                                <XMTok font="italic" role="UNKNOWN">Z</XMTok>
                                <XMApp>
                                  <XMTok meaning="times" role="MULOP">⁢</XMTok>
                                  <XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
                                  <XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
                                </XMApp>
                              </XMApp>
                            </XMApp>
                          </XMApp>
                        </XMWrap>
                      </XMDual>
                    </XMWrap>
                  </XMDual>
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              </XMDual>
            </XMath>
          </Math>
        </equation>
      </para>
      <para xml:id="S1.SS0.SSS0.Px3.p2">
        <equation xml:id="S1.Ex7">
          <Math mode="display" tex="V=\sum_{1\leq i\leq j\leq n}^{\infty}V_{ij}\quad X=\smashoperator[]{\sum_{1%&#10;\leq i\leq j\leq n}^{3456}}X_{ij}\quad Y=\smashoperator[r]{\sum_{1\leq i\leq j%&#10;\leq n}^{}}Y_{ij}\quad Z=\smashoperator[l]{\mathop{T}_{1\leq i\leq j\leq n}^{}%&#10;}Z_{ij}" text="formulae@(V = ((sum _ (1 &lt;= i &lt;= j &lt;= n)) ^ infinity)@(V _ (i * j)), formulae@(X = ((sum ^ 3456) _ (1 &lt;= i &lt;= j &lt;= n))@(X _ (i * j)), formulae@(Y = (sum _ (1 &lt;= i &lt;= j &lt;= n))@(Y _ (i * j)), Z = (T _ (1 &lt;= i &lt;= j &lt;= n))@(Z _ (i * j)))))" xml:id="S1.Ex7.m1">
            <XMath>
              <XMDual>
                <XMApp>
                  <XMTok meaning="formulae"/>
                  <XMRef idref="S1.Ex7.m1.1"/>
                  <XMRef idref="S1.Ex7.m1.2"/>
                </XMApp>
                <XMWrap>
                  <XMApp xml:id="S1.Ex7.m1.1">
                    <XMTok meaning="equals" role="RELOP">=</XMTok>
                    <XMTok font="italic" role="UNKNOWN">V</XMTok>
                    <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 meaning="multirelation"/>
                            <XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
                            <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
                            <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
                            <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
                          </XMApp>
                        </XMApp>
                        <XMTok fontsize="70%" meaning="infinity" name="infty" role="ID">∞</XMTok>
                      </XMApp>
                      <XMApp>
                        <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                        <XMTok font="italic" role="UNKNOWN">V</XMTok>
                        <XMApp>
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
                        </XMApp>
                      </XMApp>
                    </XMApp>
                  </XMApp>
                  <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                  <XMDual xml:id="S1.Ex7.m1.2">
                    <XMApp>
                      <XMTok meaning="formulae"/>
                      <XMRef idref="S1.Ex7.m1.2.1"/>
                      <XMRef idref="S1.Ex7.m1.2.2"/>
                    </XMApp>
                    <XMWrap>
                      <XMApp xml:id="S1.Ex7.m1.2.1">
                        <XMTok meaning="equals" role="RELOP">=</XMTok>
                        <XMTok font="italic" role="UNKNOWN">X</XMTok>
                        <XMApp>
                          <XMApp role="SUMOP" scriptpos="mid">
                            <XMTok role="SUBSCRIPTOP" scriptpos="mid1"/>
                            <XMApp scriptpos="mid">
                              <XMTok role="SUPERSCRIPTOP" scriptpos="mid1"/>
                              <XMTok mathstyle="display" meaning="sum" role="SUMOP" scriptpos="mid">∑</XMTok>
                              <XMTok fontsize="70%" meaning="3456" role="NUMBER" width="0.0pt" xoffset="-10.5pt">3456</XMTok>
                            </XMApp>
                            <XMApp width="0.0pt" xoffset="-18.4pt">
                              <XMTok meaning="multirelation"/>
                              <XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
                              <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                              <XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
                              <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                              <XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
                              <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                              <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
                            </XMApp>
                          </XMApp>
                          <XMApp>
                            <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                            <XMTok font="italic" role="UNKNOWN">X</XMTok>
                            <XMApp>
                              <XMTok meaning="times" role="MULOP">⁢</XMTok>
                              <XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
                              <XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
                            </XMApp>
                          </XMApp>
                        </XMApp>
                      </XMApp>
                      <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                      <XMDual xml:id="S1.Ex7.m1.2.2">
                        <XMApp>
                          <XMTok meaning="formulae"/>
                          <XMRef idref="S1.Ex7.m1.2.2.1"/>
                          <XMRef idref="S1.Ex7.m1.2.2.2"/>
                        </XMApp>
                        <XMWrap>
                          <XMApp xml:id="S1.Ex7.m1.2.2.1">
                            <XMTok meaning="equals" role="RELOP">=</XMTok>
                            <XMTok font="italic" role="UNKNOWN">Y</XMTok>
                            <XMApp>
                              <XMApp lpadding="14.6pt" role="SUMOP" scriptpos="mid">
                                <XMTok role="SUBSCRIPTOP" scriptpos="mid1"/>
                                <XMTok mathstyle="display" meaning="sum" role="SUMOP" scriptpos="mid">∑</XMTok>
                                <XMApp width="0.0pt" xoffset="-18.4pt">
                                  <XMTok meaning="multirelation"/>
                                  <XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
                                  <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                                  <XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
                                  <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                                  <XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
                                  <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                                  <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
                                </XMApp>
                              </XMApp>
                              <XMApp>
                                <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                                <XMTok font="italic" role="UNKNOWN">Y</XMTok>
                                <XMApp>
                                  <XMTok meaning="times" role="MULOP">⁢</XMTok>
                                  <XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
                                  <XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
                                </XMApp>
                              </XMApp>
                            </XMApp>
                          </XMApp>
                          <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                          <XMApp xml:id="S1.Ex7.m1.2.2.2">
                            <XMTok meaning="equals" role="RELOP">=</XMTok>
                            <XMTok font="italic" role="UNKNOWN">Z</XMTok>
                            <XMApp>
                              <XMApp role="SUMOP" rpadding="14.6pt" scriptpos="mid">
                                <XMTok role="SUBSCRIPTOP" scriptpos="mid1"/>
                                <XMTok font="italic" role="BIGOP" scriptpos="mid">T</XMTok>
                                <XMApp width="0.0pt" xoffset="-18.4pt">
                                  <XMTok meaning="multirelation"/>
                                  <XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
                                  <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                                  <XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
                                  <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                                  <XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
                                  <XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
                                  <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
                                </XMApp>
                              </XMApp>
                              <XMApp>
                                <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                                <XMTok font="italic" role="UNKNOWN">Z</XMTok>
                                <XMApp>
                                  <XMTok meaning="times" role="MULOP">⁢</XMTok>
                                  <XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
                                  <XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
                                </XMApp>
                              </XMApp>
                            </XMApp>
                          </XMApp>
                        </XMWrap>
                      </XMDual>
                    </XMWrap>
                  </XMDual>
                </XMWrap>
              </XMDual>
            </XMath>
          </Math>
        </equation>
      </para>
    </paragraph>
    <paragraph inlist="toc" xml:id="S1.SS0.SSS0.Px4">
      <title>Adjustlimits</title>
      <para xml:id="S1.SS0.SSS0.Px4.p1">
        <equation xml:id="S1.Ex8">
          <Math mode="display" tex="\text{a)}\lim_{n\to\infty}\max_{p\geq n}\quad\text{b)}\lim_{n\to\infty}\max_{p%&#10;^{2}\geq n}\quad\text{c)}\lim_{n\to\infty}\sup_{p^{2}\geq nK}\quad\text{d)}%&#10;\limsup_{n\to\infty}\max_{p\geq n}" text="list@([a)] * (limit _ (n to infinity))@(maximum _ (p &gt;= n)), [b)] * (limit _ (n to infinity))@(maximum _ (p ^ 2 &gt;= n)), [c)] * (limit _ (n to infinity))@(supremum _ (p ^ 2 &gt;= n * K)), [d)] * (limit-supremum _ (n to infinity))@(maximum _ (p &gt;= n)))" xml:id="S1.Ex8.m1">
            <XMath>
              <XMDual>
                <XMApp>
                  <XMTok meaning="list"/>
                  <XMRef idref="S1.Ex8.m1.1"/>
                  <XMRef idref="S1.Ex8.m1.2"/>
                  <XMRef idref="S1.Ex8.m1.3"/>
                  <XMRef idref="S1.Ex8.m1.4"/>
                </XMApp>
                <XMWrap>
                  <XMApp xml:id="S1.Ex8.m1.1">
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMText>a)</XMText>
                    <XMApp>
                      <XMApp scriptpos="mid">
                        <XMTok role="SUBSCRIPTOP" scriptpos="mid1"/>
                        <XMTok meaning="limit" role="LIMITOP" scriptpos="mid">lim</XMTok>
                        <XMApp>
                          <XMTok fontsize="70%" name="to" role="ARROW">→</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
                          <XMTok fontsize="70%" meaning="infinity" name="infty" role="ID">∞</XMTok>
                        </XMApp>
                      </XMApp>
                      <XMApp scriptpos="mid">
                        <XMTok role="SUBSCRIPTOP" scriptpos="mid1"/>
                        <XMTok meaning="maximum" role="OPFUNCTION" scriptpos="mid">max</XMTok>
                        <XMApp>
                          <XMTok fontsize="70%" meaning="greater-than-or-equals" name="geq" role="RELOP">≥</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">p</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
                        </XMApp>
                      </XMApp>
                    </XMApp>
                  </XMApp>
                  <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                  <XMApp xml:id="S1.Ex8.m1.2">
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMText>b)</XMText>
                    <XMApp>
                      <XMApp scriptpos="mid">
                        <XMTok role="SUBSCRIPTOP" scriptpos="mid1"/>
                        <XMTok meaning="limit" role="LIMITOP" scriptpos="mid">lim</XMTok>
                        <XMApp>
                          <XMTok fontsize="70%" name="to" role="ARROW">→</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
                          <XMTok fontsize="70%" meaning="infinity" name="infty" role="ID">∞</XMTok>
                        </XMApp>
                      </XMApp>
                      <XMApp scriptpos="mid">
                        <XMTok role="SUBSCRIPTOP" scriptpos="mid1"/>
                        <XMTok meaning="maximum" role="OPFUNCTION" scriptpos="mid">max</XMTok>
                        <XMApp>
                          <XMTok fontsize="70%" meaning="greater-than-or-equals" name="geq" role="RELOP">≥</XMTok>
                          <XMApp>
                            <XMTok role="SUPERSCRIPTOP" scriptpos="post2"/>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">p</XMTok>
                            <XMTok fontsize="50%" meaning="2" role="NUMBER">2</XMTok>
                          </XMApp>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
                        </XMApp>
                      </XMApp>
                    </XMApp>
                  </XMApp>
                  <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                  <XMApp xml:id="S1.Ex8.m1.3">
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMText>c)</XMText>
                    <XMApp>
                      <XMApp scriptpos="mid">
                        <XMTok role="SUBSCRIPTOP" scriptpos="mid1"/>
                        <XMTok meaning="limit" role="LIMITOP" scriptpos="mid">lim</XMTok>
                        <XMApp>
                          <XMTok fontsize="70%" name="to" role="ARROW">→</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
                          <XMTok fontsize="70%" meaning="infinity" name="infty" role="ID">∞</XMTok>
                        </XMApp>
                      </XMApp>
                      <XMApp scriptpos="mid">
                        <XMTok role="SUBSCRIPTOP" scriptpos="mid1"/>
                        <XMTok meaning="supremum" role="LIMITOP" scriptpos="mid">sup</XMTok>
                        <XMApp>
                          <XMTok fontsize="70%" meaning="greater-than-or-equals" name="geq" role="RELOP">≥</XMTok>
                          <XMApp>
                            <XMTok role="SUPERSCRIPTOP" scriptpos="post2"/>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">p</XMTok>
                            <XMTok fontsize="50%" meaning="2" role="NUMBER">2</XMTok>
                          </XMApp>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">K</XMTok>
                          </XMApp>
                        </XMApp>
                      </XMApp>
                    </XMApp>
                  </XMApp>
                  <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                  <XMApp xml:id="S1.Ex8.m1.4">
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMText>d)</XMText>
                    <XMApp>
                      <XMApp scriptpos="mid">
                        <XMTok role="SUBSCRIPTOP" scriptpos="mid1"/>
                        <XMTok meaning="limit-supremum" name="limsup" role="LIMITOP" scriptpos="mid">lim sup</XMTok>
                        <XMApp>
                          <XMTok fontsize="70%" name="to" role="ARROW">→</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
                          <XMTok fontsize="70%" meaning="infinity" name="infty" role="ID">∞</XMTok>
                        </XMApp>
                      </XMApp>
                      <XMApp scriptpos="mid">
                        <XMTok role="SUBSCRIPTOP" scriptpos="mid1"/>
                        <XMTok meaning="maximum" role="OPFUNCTION" scriptpos="mid">max</XMTok>
                        <XMApp>
                          <XMTok fontsize="70%" meaning="greater-than-or-equals" name="geq" role="RELOP">≥</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">p</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
                        </XMApp>
                      </XMApp>
                    </XMApp>
                  </XMApp>
                </XMWrap>
              </XMDual>
            </XMath>
          </Math>
        </equation>
      </para>
      <para xml:id="S1.SS0.SSS0.Px4.p2">
        <equation xml:id="S1.Ex9">
          <Math mode="display" tex="\text{a)}\adjustlimits{\lim}_{n\to\infty}{\max}_{p\geq n}\quad\text{b)}%&#10;\adjustlimits{\lim}_{n\to\infty}{\max}_{p^{2}\geq n}\quad\text{c)}%&#10;\adjustlimits{\lim}_{n\to\infty}{\sup}_{p^{2}\geq nK}\quad\text{d)}%&#10;\adjustlimits{\limsup}_{n\to\infty}{\max}_{p\geq n}" text="list@([a)] * limit _ (n to infinity) * maximum _ (p &gt;= n), [b)] * limit _ (n to infinity) * maximum _ (p ^ 2 &gt;= n), [c)] * limit _ (n to infinity) * supremum _ (p ^ 2 &gt;= n * K), [d)] * limit-supremum _ (n to infinity) * maximum _ (p &gt;= n))" xml:id="S1.Ex9.m1">
            <XMath>
              <XMDual>
                <XMApp>
                  <XMTok meaning="list"/>
                  <XMRef idref="S1.Ex9.m1.1"/>
                  <XMRef idref="S1.Ex9.m1.2"/>
                  <XMRef idref="S1.Ex9.m1.3"/>
                  <XMRef idref="S1.Ex9.m1.4"/>
                </XMApp>
                <XMWrap>
                  <XMApp xml:id="S1.Ex9.m1.1">
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMText>a)</XMText>
                    <XMApp>
                      <XMTok role="SUBSCRIPTOP" scriptpos="mid"/>
                      <XMTok depth="2.0pt" meaning="limit" role="LIMITOP" scriptpos="mid">lim</XMTok>
                      <XMApp height="4.9pt">
                        <XMTok fontsize="70%" name="to" role="ARROW">→</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
                        <XMTok fontsize="70%" meaning="infinity" name="infty" role="ID">∞</XMTok>
                      </XMApp>
                    </XMApp>
                    <XMApp>
                      <XMTok role="SUBSCRIPTOP" scriptpos="mid"/>
                      <XMTok depth="2.0pt" meaning="maximum" role="OPFUNCTION" scriptpos="mid">max</XMTok>
                      <XMApp height="4.9pt">
                        <XMTok fontsize="70%" meaning="greater-than-or-equals" name="geq" role="RELOP">≥</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">p</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
                      </XMApp>
                    </XMApp>
                  </XMApp>
                  <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                  <XMApp xml:id="S1.Ex9.m1.2">
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMText>b)</XMText>
                    <XMApp>
                      <XMTok role="SUBSCRIPTOP" scriptpos="mid"/>
                      <XMTok depth="2.0pt" meaning="limit" role="LIMITOP" scriptpos="mid">lim</XMTok>
                      <XMApp height="6.3pt">
                        <XMTok fontsize="70%" name="to" role="ARROW">→</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
                        <XMTok fontsize="70%" meaning="infinity" name="infty" role="ID">∞</XMTok>
                      </XMApp>
                    </XMApp>
                    <XMApp>
                      <XMTok role="SUBSCRIPTOP" scriptpos="mid"/>
                      <XMTok depth="2.0pt" meaning="maximum" role="OPFUNCTION" scriptpos="mid">max</XMTok>
                      <XMApp height="6.3pt">
                        <XMTok fontsize="70%" meaning="greater-than-or-equals" name="geq" role="RELOP">≥</XMTok>
                        <XMApp>
                          <XMTok role="SUPERSCRIPTOP" scriptpos="post2"/>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">p</XMTok>
                          <XMTok fontsize="50%" meaning="2" role="NUMBER">2</XMTok>
                        </XMApp>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
                      </XMApp>
                    </XMApp>
                  </XMApp>
                  <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                  <XMApp xml:id="S1.Ex9.m1.3">
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMText>c)</XMText>
                    <XMApp>
                      <XMTok role="SUBSCRIPTOP" scriptpos="mid"/>
                      <XMTok depth="2.0pt" meaning="limit" role="LIMITOP" scriptpos="mid">lim</XMTok>
                      <XMApp height="6.3pt">
                        <XMTok fontsize="70%" name="to" role="ARROW">→</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
                        <XMTok fontsize="70%" meaning="infinity" name="infty" role="ID">∞</XMTok>
                      </XMApp>
                    </XMApp>
                    <XMApp>
                      <XMTok role="SUBSCRIPTOP" scriptpos="mid"/>
                      <XMTok depth="2.0pt" meaning="supremum" role="LIMITOP" scriptpos="mid">sup</XMTok>
                      <XMApp height="6.3pt">
                        <XMTok fontsize="70%" meaning="greater-than-or-equals" name="geq" role="RELOP">≥</XMTok>
                        <XMApp>
                          <XMTok role="SUPERSCRIPTOP" scriptpos="post2"/>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">p</XMTok>
                          <XMTok fontsize="50%" meaning="2" role="NUMBER">2</XMTok>
                        </XMApp>
                        <XMApp>
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">K</XMTok>
                        </XMApp>
                      </XMApp>
                    </XMApp>
                  </XMApp>
                  <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                  <XMApp xml:id="S1.Ex9.m1.4">
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMText>d)</XMText>
                    <XMApp>
                      <XMTok role="SUBSCRIPTOP" scriptpos="mid"/>
                      <XMTok depth="2.0pt" meaning="limit-supremum" name="limsup" role="LIMITOP" scriptpos="mid">lim sup</XMTok>
                      <XMApp height="4.9pt">
                        <XMTok fontsize="70%" name="to" role="ARROW">→</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
                        <XMTok fontsize="70%" meaning="infinity" name="infty" role="ID">∞</XMTok>
                      </XMApp>
                    </XMApp>
                    <XMApp>
                      <XMTok role="SUBSCRIPTOP" scriptpos="mid"/>
                      <XMTok depth="2.0pt" meaning="maximum" role="OPFUNCTION" scriptpos="mid">max</XMTok>
                      <XMApp height="4.9pt">
                        <XMTok fontsize="70%" meaning="greater-than-or-equals" name="geq" role="RELOP">≥</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">p</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
                      </XMApp>
                    </XMApp>
                  </XMApp>
                </XMWrap>
              </XMDual>
            </XMath>
          </Math>
        </equation>
      </para>
    </paragraph>
  </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>Tags</title>
    <para xml:id="S2.p1">
      <quote>
        <equation labels="LABEL:eq:example" xml:id="S2.Ex10">
          <tags>
            <tag>Q&amp;A</tag>
            <tag role="refnum">Q&amp;A</tag>
          </tags>
          <Math mode="display" tex="a=b" text="a = b" xml:id="S2.Ex10.m1">
            <XMath>
              <XMApp>
                <XMTok meaning="equals" role="RELOP">=</XMTok>
                <XMTok font="italic" role="UNKNOWN">a</XMTok>
                <XMTok font="italic" role="UNKNOWN">b</XMTok>
              </XMApp>
            </XMath>
          </Math>
        </equation>
        <p><text font="italic">See <ref labelref="LABEL:eq:example"/> or is it better with <ref labelref="LABEL:eq:example"/>?</text></p>
      </quote>
    </para>
    <para xml:id="S2.p2">
      <equation labels="LABEL:eq:example2" xml:id="S2.Ex11">
        <tags>
          <tag>Q&amp;A</tag>
          <tag role="refnum">Q&amp;A</tag>
        </tags>
        <Math mode="display" tex="a=b" text="a = b" xml:id="S2.Ex11.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMTok font="italic" role="UNKNOWN">a</XMTok>
              <XMTok font="italic" role="UNKNOWN">b</XMTok>
            </XMApp>
          </XMath>
        </Math>
      </equation>
      <equation labels="LABEL:eq:example3" xml:id="S2.Ex12">
        <tags>
          <tag>[<text font="bold">Q&amp;A</text>]</tag>
          <tag role="refnum">Q&amp;A</tag>
        </tags>
        <Math mode="display" tex="a=b" text="a = b" xml:id="S2.Ex12.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMTok font="italic" role="UNKNOWN">a</XMTok>
              <XMTok font="italic" role="UNKNOWN">b</XMTok>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S2.p3">
      <p>Normal tags.</p>
      <equation labels="LABEL:eq:a0" xml:id="S2.E1">
        <tags>
          <tag>(1)</tag>
          <tag role="refnum">1</tag>
        </tags>
        <Math mode="display" tex="a=a" text="a = a" xml:id="S2.E1.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMTok font="italic" role="UNKNOWN">a</XMTok>
              <XMTok font="italic" role="UNKNOWN">a</XMTok>
            </XMApp>
          </XMath>
        </Math>
      </equation>
      <p>That was equation (<ref labelref="LABEL:eq:a0"/>).</p>
    </para>
    <para xml:id="S2.p4">
      <p>OK tags.</p>
      <equation labels="LABEL:eq:a1" xml:id="S2.E2">
        <tags>
          <tag>[<text font="bold">2</text>]</tag>
          <tag role="refnum">2</tag>
        </tags>
        <Math mode="display" tex="a=a" text="a = a" xml:id="S2.E2.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMTok font="italic" role="UNKNOWN">a</XMTok>
              <XMTok font="italic" role="UNKNOWN">a</XMTok>
            </XMApp>
          </XMath>
        </Math>
      </equation>
      <p>That was equation [<ref font="bold" labelref="LABEL:eq:a1"/>], but recall [<ref font="bold" labelref="LABEL:eq:a0"/>]</p>
    </para>
    <para xml:id="S2.p5">
      <p>odd tag.</p>
      <equation labels="LABEL:eq:a2" xml:id="S2.E3">
        <tags>
          <tag>{3}</tag>
          <tag role="refnum">3</tag>
        </tags>
        <Math mode="display" tex="a=a" text="a = a" xml:id="S2.E3.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMTok font="italic" role="UNKNOWN">a</XMTok>
              <XMTok font="italic" role="UNKNOWN">a</XMTok>
            </XMApp>
          </XMath>
        </Math>
      </equation>
      <p>That was equation {<ref labelref="LABEL:eq:a2"/>}, but recall {<ref labelref="LABEL:eq:a0"/>} and {<ref labelref="LABEL:eq:a1"/>}.</p>
    </para>
    <para xml:id="S2.p6">
      <p>weird tag.</p>
      <equation labels="LABEL:eq:b1" xml:id="S2.E4">
        <tags>
          <tag>((4))</tag>
          <tag role="refnum">4</tag>
        </tags>
        <Math mode="display" tex="b=b" text="b = b" xml:id="S2.E4.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMTok font="italic" role="UNKNOWN">b</XMTok>
              <XMTok font="italic" role="UNKNOWN">b</XMTok>
            </XMApp>
          </XMath>
        </Math>
      </equation>
      <p>That was equation ((<ref labelref="LABEL:eq:b1"/>)), but recall ((<ref labelref="LABEL:eq:a0"/>)), ((<ref labelref="LABEL:eq:a1"/>)) and ((<ref labelref="LABEL:eq:a2"/>)).</p>
    </para>
    <para xml:id="S2.p7">
      <p>Normal tags again.</p>
      <equation labels="LABEL:eq:c0" xml:id="S2.E5">
        <tags>
          <tag>(5)</tag>
          <tag role="refnum">5</tag>
        </tags>
        <Math mode="display" tex="c=c" text="c = c" xml:id="S2.E5.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMTok font="italic" role="UNKNOWN">c</XMTok>
              <XMTok font="italic" role="UNKNOWN">c</XMTok>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S2.p8">
      <p>Non-textual</p>
      <equation labels="LABEL:eq:nt1" xml:id="S2.Ex13">
        <tags>
          <tag>(n<Math mode="inline" tex="{}^{\mathit{th}}" text="^th" xml:id="S2.Ex13.m1">
              <XMath>
                <XMApp role="FLOATSUPERSCRIPT" scriptpos="1">
                  <XMTok font="italic" fontsize="70%" role="UNKNOWN">th</XMTok>
                </XMApp>
              </XMath>
            </Math>)</tag>
          <tag role="refnum">n<Math mode="inline" tex="{}^{\mathit{th}}" text="^th" xml:id="S2.Ex13.m2">
              <XMath>
                <XMApp role="FLOATSUPERSCRIPT" scriptpos="1">
                  <XMTok font="italic" fontsize="70%" role="UNKNOWN">th</XMTok>
                </XMApp>
              </XMath>
            </Math></tag>
        </tags>
        <Math mode="display" tex="d=d" text="d = d" xml:id="S2.Ex13.m3">
          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMTok font="italic" role="UNKNOWN">d</XMTok>
              <XMTok font="italic" role="UNKNOWN">d</XMTok>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S2.p9">
      <p>That was equation (<ref labelref="LABEL:eq:c0"/>), but recall (<ref labelref="LABEL:eq:a0"/>), (<ref labelref="LABEL:eq:a1"/>), (<ref labelref="LABEL:eq:a2"/>),
(<ref labelref="LABEL:eq:b1"/>) and (<ref labelref="LABEL:eq:nt1"/>).</p>
    </para>
    <para xml:id="S2.p10">
      <equationgroup class="ltx_eqn_gather" xml:id="S12.EGx1">
        <equation labels="LABEL:eq:a" xml:id="S2.E6">
          <tags>
            <tag>(6)</tag>
            <tag role="refnum">6</tag>
          </tags>
          <Math mode="display" tex="\displaystyle a=a" text="a = a" xml:id="S2.E6.m1">
            <XMath>
              <XMApp>
                <XMTok meaning="equals" role="RELOP">=</XMTok>
                <XMTok font="italic" role="UNKNOWN">a</XMTok>
                <XMTok font="italic" role="UNKNOWN">a</XMTok>
              </XMApp>
            </XMath>
          </Math>
        </equation>
        <equation labels="LABEL:eq:b" xml:id="S2.Ex14">
          <tags>
            <tag>(**)</tag>
            <tag role="refnum">**</tag>
          </tags>
          <Math mode="display" tex="\displaystyle b=b" text="b = b" xml:id="S2.Ex14.m1">
            <XMath>
              <XMApp>
                <XMTok meaning="equals" role="RELOP">=</XMTok>
                <XMTok font="italic" role="UNKNOWN">b</XMTok>
                <XMTok font="italic" role="UNKNOWN">b</XMTok>
              </XMApp>
            </XMath>
          </Math>
        </equation>
      </equationgroup>
      <p>This should refer to the equation containing <Math mode="inline" tex="a=a" text="a = a" xml:id="S2.p10.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMTok font="italic" role="UNKNOWN">a</XMTok>
              <XMTok font="italic" role="UNKNOWN">a</XMTok>
            </XMApp>
          </XMath>
        </Math>: (<ref labelref="LABEL:eq:a"/>).
Then a switch of tag forms.</p>
      <equationgroup class="ltx_eqn_align" xml:id="S12.EGx2">
        <equation labels="LABEL:eq:c" xml:id="S2.E7">
          <tags>
            <tag>(7)</tag>
            <tag role="refnum">7</tag>
          </tags>
          <MathFork>
            <Math tex="\displaystyle c=c" text="c = c" xml:id="S2.E7.m3">
              <XMath>
                <XMApp>
                  <XMTok meaning="equals" role="RELOP">=</XMTok>
                  <XMTok font="italic" role="UNKNOWN">c</XMTok>
                  <XMTok font="italic" role="UNKNOWN">c</XMTok>
                </XMApp>
              </XMath>
            </Math>
            <MathBranch>
              <td align="right"><Math mode="inline" tex="\displaystyle c" text="c" xml:id="S2.E7.m1">
                  <XMath>
                    <XMTok font="italic" role="UNKNOWN">c</XMTok>
                  </XMath>
                </Math></td>
              <td align="left"><Math mode="inline" tex="\displaystyle=c" text="absent = c" xml:id="S2.E7.m2">
                  <XMath>
                    <XMApp>
                      <XMTok meaning="equals" role="RELOP">=</XMTok>
                      <XMTok meaning="absent"/>
                      <XMTok font="italic" role="UNKNOWN">c</XMTok>
                    </XMApp>
                  </XMath>
                </Math></td>
            </MathBranch>
          </MathFork>
        </equation>
        <equation labels="LABEL:eq:d" xml:id="S2.E8">
          <tags>
            <tag>(8)</tag>
            <tag role="refnum">8</tag>
          </tags>
          <MathFork>
            <Math tex="\displaystyle d=d" text="d = d" xml:id="S2.E8.m3">
              <XMath>
                <XMApp>
                  <XMTok meaning="equals" role="RELOP">=</XMTok>
                  <XMTok font="italic" role="UNKNOWN">d</XMTok>
                  <XMTok font="italic" role="UNKNOWN">d</XMTok>
                </XMApp>
              </XMath>
            </Math>
            <MathBranch>
              <td align="right"><Math mode="inline" tex="\displaystyle d" text="d" xml:id="S2.E8.m1">
                  <XMath>
                    <XMTok font="italic" role="UNKNOWN">d</XMTok>
                  </XMath>
                </Math></td>
              <td align="left"><Math mode="inline" tex="\displaystyle=d" text="absent = d" xml:id="S2.E8.m2">
                  <XMath>
                    <XMApp>
                      <XMTok meaning="equals" role="RELOP">=</XMTok>
                      <XMTok meaning="absent"/>
                      <XMTok font="italic" role="UNKNOWN">d</XMTok>
                    </XMApp>
                  </XMath>
                </Math></td>
            </MathBranch>
          </MathFork>
        </equation>
      </equationgroup>
      <p>This should refer to the equation containing <Math mode="inline" tex="d=d" text="d = d" xml:id="S2.p10.m2">
          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMTok font="italic" role="UNKNOWN">d</XMTok>
              <XMTok font="italic" role="UNKNOWN">d</XMTok>
            </XMApp>
          </XMath>
        </Math>: (<ref labelref="LABEL:eq:d"/>)
(but recall (<ref labelref="LABEL:eq:a"/>)).</p>
      <equation xml:id="S2.E9">
        <tags>
          <tag>(9)</tag>
          <tag role="refnum">9</tag>
        </tags>
        <Math mode="display" tex="e=e" text="e = e" xml:id="S2.E9.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMTok font="italic" role="UNKNOWN">e</XMTok>
              <XMTok font="italic" role="UNKNOWN">e</XMTok>
            </XMApp>
          </XMath>
        </Math>
      </equation>
      <equation xml:id="S2.E10">
        <tags>
          <tag>(10)</tag>
          <tag role="refnum">10</tag>
        </tags>
        <Math mode="display" tex="f=f" text="f = f" xml:id="S2.E10.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMTok font="italic" role="UNKNOWN">f</XMTok>
              <XMTok font="italic" role="UNKNOWN">f</XMTok>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S2.p11">
      <equation labels="LABEL:eq:much" xml:id="S2.Ex15">
        <Math mode="display" tex="1+1=2" text="1 + 1 = 2" xml:id="S2.Ex15.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMApp>
                <XMTok meaning="plus" role="ADDOP">+</XMTok>
                <XMTok meaning="1" role="NUMBER">1</XMTok>
                <XMTok meaning="1" role="NUMBER">1</XMTok>
              </XMApp>
              <XMTok meaning="2" role="NUMBER">2</XMTok>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S2.p12">
      <equation labels="LABEL:eq:wow" xml:id="S2.Ex16">
        <Math mode="display" tex="2+2=4" text="2 + 2 = 4" xml:id="S2.Ex16.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMApp>
                <XMTok meaning="plus" role="ADDOP">+</XMTok>
                <XMTok meaning="2" role="NUMBER">2</XMTok>
                <XMTok meaning="2" role="NUMBER">2</XMTok>
              </XMApp>
              <XMTok meaning="4" role="NUMBER">4</XMTok>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S2.p13">
      <p>Blabla (<ref labelref="LABEL:eq:wow"/>).</p>
    </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>Arrows</title>
    <para xml:id="S3.p1">
      <equation xml:id="S3.Ex17">
        <Math mode="display" tex="A\xLeftarrow[under]{over}B\xRightarrow[under]{over}C" text="A (u * n * d * e * r)@((o * v * e * r)@(xLeftarrow)) B (u * n * d * e * r)@((o * v * e * r)@(xRightarrow)) C" xml:id="S3.Ex17.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="multirelation"/>
              <XMTok font="italic" role="UNKNOWN">A</XMTok>
              <XMApp role="ARROW">
                <XMApp role="UNDERACCENT">
                  <XMTok meaning="times" role="MULOP">⁢</XMTok>
                  <XMTok font="italic" role="UNKNOWN">u</XMTok>
                  <XMTok font="italic" role="UNKNOWN">n</XMTok>
                  <XMTok font="italic" role="UNKNOWN">d</XMTok>
                  <XMTok font="italic" role="UNKNOWN">e</XMTok>
                  <XMTok font="italic" role="UNKNOWN">r</XMTok>
                </XMApp>
                <XMApp>
                  <XMApp role="OVERACCENT">
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMTok font="italic" role="UNKNOWN">o</XMTok>
                    <XMTok font="italic" role="UNKNOWN">v</XMTok>
                    <XMTok font="italic" role="UNKNOWN">e</XMTok>
                    <XMTok font="italic" role="UNKNOWN">r</XMTok>
                  </XMApp>
                  <XMTok name="xLeftarrow" role="ARROW" stretchy="true">⇐</XMTok>
                </XMApp>
              </XMApp>
              <XMTok font="italic" role="UNKNOWN">B</XMTok>
              <XMApp role="ARROW">
                <XMApp role="UNDERACCENT">
                  <XMTok meaning="times" role="MULOP">⁢</XMTok>
                  <XMTok font="italic" role="UNKNOWN">u</XMTok>
                  <XMTok font="italic" role="UNKNOWN">n</XMTok>
                  <XMTok font="italic" role="UNKNOWN">d</XMTok>
                  <XMTok font="italic" role="UNKNOWN">e</XMTok>
                  <XMTok font="italic" role="UNKNOWN">r</XMTok>
                </XMApp>
                <XMApp>
                  <XMApp role="OVERACCENT">
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMTok font="italic" role="UNKNOWN">o</XMTok>
                    <XMTok font="italic" role="UNKNOWN">v</XMTok>
                    <XMTok font="italic" role="UNKNOWN">e</XMTok>
                    <XMTok font="italic" role="UNKNOWN">r</XMTok>
                  </XMApp>
                  <XMTok name="xRightarrow" role="ARROW" stretchy="true">⇒</XMTok>
                </XMApp>
              </XMApp>
              <XMTok font="italic" role="UNKNOWN">C</XMTok>
            </XMApp>
          </XMath>
        </Math>
      </equation>
      <equation xml:id="S3.Ex18">
        <Math mode="display" tex="x\xleftrightarrow[under]{overlooooooong}y\xLeftrightarrow[underloooooooong]{%&#10;over}z" text="x (u * n * d * e * r)@((o * v * e * r * l * o * o * o * o * o * o * o * n * g)@(xleftrightarrow)) y (u * n * d * e * r * l * o * o * o * o * o * o * o * o * n * g)@((o * v * e * r)@(xLeftrightarrow)) z" xml:id="S3.Ex18.m1">
          <XMath>
            <XMApp>
              <XMApp role="METARELOP">
                <XMApp role="UNDERACCENT">
                  <XMTok meaning="times" role="MULOP">⁢</XMTok>
                  <XMTok font="italic" role="UNKNOWN">u</XMTok>
                  <XMTok font="italic" role="UNKNOWN">n</XMTok>
                  <XMTok font="italic" role="UNKNOWN">d</XMTok>
                  <XMTok font="italic" role="UNKNOWN">e</XMTok>
                  <XMTok font="italic" role="UNKNOWN">r</XMTok>
                </XMApp>
                <XMApp>
                  <XMApp role="OVERACCENT">
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMTok font="italic" role="UNKNOWN">o</XMTok>
                    <XMTok font="italic" role="UNKNOWN">v</XMTok>
                    <XMTok font="italic" role="UNKNOWN">e</XMTok>
                    <XMTok font="italic" role="UNKNOWN">r</XMTok>
                    <XMTok font="italic" role="UNKNOWN">l</XMTok>
                    <XMTok font="italic" role="UNKNOWN">o</XMTok>
                    <XMTok font="italic" role="UNKNOWN">o</XMTok>
                    <XMTok font="italic" role="UNKNOWN">o</XMTok>
                    <XMTok font="italic" role="UNKNOWN">o</XMTok>
                    <XMTok font="italic" role="UNKNOWN">o</XMTok>
                    <XMTok font="italic" role="UNKNOWN">o</XMTok>
                    <XMTok font="italic" role="UNKNOWN">o</XMTok>
                    <XMTok font="italic" role="UNKNOWN">n</XMTok>
                    <XMTok font="italic" role="UNKNOWN">g</XMTok>
                  </XMApp>
                  <XMTok name="xleftrightarrow" role="METARELOP" stretchy="true">↔</XMTok>
                </XMApp>
              </XMApp>
              <XMTok font="italic" role="UNKNOWN">x</XMTok>
              <XMApp>
                <XMApp role="ARROW">
                  <XMApp role="UNDERACCENT">
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMTok font="italic" role="UNKNOWN">u</XMTok>
                    <XMTok font="italic" role="UNKNOWN">n</XMTok>
                    <XMTok font="italic" role="UNKNOWN">d</XMTok>
                    <XMTok font="italic" role="UNKNOWN">e</XMTok>
                    <XMTok font="italic" role="UNKNOWN">r</XMTok>
                    <XMTok font="italic" role="UNKNOWN">l</XMTok>
                    <XMTok font="italic" role="UNKNOWN">o</XMTok>
                    <XMTok font="italic" role="UNKNOWN">o</XMTok>
                    <XMTok font="italic" role="UNKNOWN">o</XMTok>
                    <XMTok font="italic" role="UNKNOWN">o</XMTok>
                    <XMTok font="italic" role="UNKNOWN">o</XMTok>
                    <XMTok font="italic" role="UNKNOWN">o</XMTok>
                    <XMTok font="italic" role="UNKNOWN">o</XMTok>
                    <XMTok font="italic" role="UNKNOWN">o</XMTok>
                    <XMTok font="italic" role="UNKNOWN">n</XMTok>
                    <XMTok font="italic" role="UNKNOWN">g</XMTok>
                  </XMApp>
                  <XMApp>
                    <XMApp role="OVERACCENT">
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMTok font="italic" role="UNKNOWN">o</XMTok>
                      <XMTok font="italic" role="UNKNOWN">v</XMTok>
                      <XMTok font="italic" role="UNKNOWN">e</XMTok>
                      <XMTok font="italic" role="UNKNOWN">r</XMTok>
                    </XMApp>
                    <XMTok name="xLeftrightarrow" role="ARROW" stretchy="true">⇔</XMTok>
                  </XMApp>
                </XMApp>
                <XMTok font="italic" role="UNKNOWN">y</XMTok>
                <XMTok font="italic" role="UNKNOWN">z</XMTok>
              </XMApp>
            </XMApp>
          </XMath>
        </Math>
      </equation>
      <equation xml:id="S3.Ex19">
        <Math mode="display" tex="x\xhookleftarrow[bar]{foo}y\xhookrightarrow[bluuuuuuuuub]{baz}t\xmapsto{%&#10;heeereee}k" text="x (b * a * r)@((f * o * o)@(xhookleftarrow)) y (b * l * u * u * u * u * u * u * u * u * u * b)@((b * a * z)@(xhookrightarrow)) t (h * e * e * e * r * e * e * e)@(xmapsto) k" xml:id="S3.Ex19.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="multirelation"/>
              <XMTok font="italic" role="UNKNOWN">x</XMTok>
              <XMApp role="ARROW">
                <XMApp role="UNDERACCENT">
                  <XMTok meaning="times" role="MULOP">⁢</XMTok>
                  <XMTok font="italic" role="UNKNOWN">b</XMTok>
                  <XMTok font="italic" role="UNKNOWN">a</XMTok>
                  <XMTok font="italic" role="UNKNOWN">r</XMTok>
                </XMApp>
                <XMApp>
                  <XMApp role="OVERACCENT">
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMTok font="italic" role="UNKNOWN">f</XMTok>
                    <XMTok font="italic" role="UNKNOWN">o</XMTok>
                    <XMTok font="italic" role="UNKNOWN">o</XMTok>
                  </XMApp>
                  <XMTok name="xhookleftarrow" role="ARROW" stretchy="true">↩</XMTok>
                </XMApp>
              </XMApp>
              <XMTok font="italic" role="UNKNOWN">y</XMTok>
              <XMApp role="ARROW">
                <XMApp role="UNDERACCENT">
                  <XMTok meaning="times" role="MULOP">⁢</XMTok>
                  <XMTok font="italic" role="UNKNOWN">b</XMTok>
                  <XMTok font="italic" role="UNKNOWN">l</XMTok>
                  <XMTok font="italic" role="UNKNOWN">u</XMTok>
                  <XMTok font="italic" role="UNKNOWN">u</XMTok>
                  <XMTok font="italic" role="UNKNOWN">u</XMTok>
                  <XMTok font="italic" role="UNKNOWN">u</XMTok>
                  <XMTok font="italic" role="UNKNOWN">u</XMTok>
                  <XMTok font="italic" role="UNKNOWN">u</XMTok>
                  <XMTok font="italic" role="UNKNOWN">u</XMTok>
                  <XMTok font="italic" role="UNKNOWN">u</XMTok>
                  <XMTok font="italic" role="UNKNOWN">u</XMTok>
                  <XMTok font="italic" role="UNKNOWN">b</XMTok>
                </XMApp>
                <XMApp>
                  <XMApp role="OVERACCENT">
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMTok font="italic" role="UNKNOWN">b</XMTok>
                    <XMTok font="italic" role="UNKNOWN">a</XMTok>
                    <XMTok font="italic" role="UNKNOWN">z</XMTok>
                  </XMApp>
                  <XMTok name="xhookrightarrow" role="ARROW" stretchy="true">↪</XMTok>
                </XMApp>
              </XMApp>
              <XMTok font="italic" role="UNKNOWN">t</XMTok>
              <XMApp role="ARROW">
                <XMApp role="OVERACCENT">
                  <XMTok meaning="times" role="MULOP">⁢</XMTok>
                  <XMTok font="italic" role="UNKNOWN">h</XMTok>
                  <XMTok font="italic" role="UNKNOWN">e</XMTok>
                  <XMTok font="italic" role="UNKNOWN">e</XMTok>
                  <XMTok font="italic" role="UNKNOWN">e</XMTok>
                  <XMTok font="italic" role="UNKNOWN">r</XMTok>
                  <XMTok font="italic" role="UNKNOWN">e</XMTok>
                  <XMTok font="italic" role="UNKNOWN">e</XMTok>
                  <XMTok font="italic" role="UNKNOWN">e</XMTok>
                </XMApp>
                <XMTok name="xmapsto" role="ARROW">↦</XMTok>
              </XMApp>
              <XMTok font="italic" role="UNKNOWN">k</XMTok>
            </XMApp>
          </XMath>
        </Math>
      </equation>
      <equation xml:id="S3.Ex20">
        <Math mode="display" tex="k\xleftharpoonup[.]{}l\xleftharpoondown{..}m\xrightharpoondown[...]{}n%&#10;\xrightharpoonup{....}o" text="k .@(absent@(xleftharpoonup)) l .@.@(xlefttharpoondown) m ldots@(absent@(xrightharpoondown)) n ldots@.@(xrightharpoonup) o" xml:id="S3.Ex20.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="multirelation"/>
              <XMTok font="italic" role="UNKNOWN">k</XMTok>
              <XMApp role="ARROW">
                <XMTok role="UNDERACCENT">.</XMTok>
                <XMApp>
                  <XMTok meaning="absent" role="OVERACCENT"/>
                  <XMTok name="xleftharpoonup" role="ARROW" stretchy="true">↼</XMTok>
                </XMApp>
              </XMApp>
              <XMTok font="italic" role="UNKNOWN">l</XMTok>
              <XMApp role="ARROW">
                <XMWrap role="OVERACCENT">
                  <XMTok role="PERIOD">.</XMTok>
                  <XMTok role="PERIOD">.</XMTok>
                </XMWrap>
                <XMTok name="xlefttharpoondown" role="ARROW">↽</XMTok>
              </XMApp>
              <XMTok font="italic" role="UNKNOWN">m</XMTok>
              <XMApp role="ARROW">
                <XMTok name="ldots" role="UNDERACCENT">…</XMTok>
                <XMApp>
                  <XMTok meaning="absent" role="OVERACCENT"/>
                  <XMTok name="xrightharpoondown" role="ARROW" stretchy="true">⇁</XMTok>
                </XMApp>
              </XMApp>
              <XMTok font="italic" role="UNKNOWN">n</XMTok>
              <XMApp role="ARROW">
                <XMWrap role="OVERACCENT">
                  <XMTok name="ldots" role="ID">…</XMTok>
                  <XMTok role="PERIOD">.</XMTok>
                </XMWrap>
                <XMTok name="xrightharpoonup" role="ARROW">⇀</XMTok>
              </XMApp>
              <XMTok font="italic" role="UNKNOWN">o</XMTok>
            </XMApp>
          </XMath>
        </Math>
      </equation>
      <equation xml:id="S3.Ex21">
        <Math mode="display" tex="x\xrightleftharpoons{bluuuuub}y\xleftrightharpoons[blaaaaaab]{}z" text="x (b * l * u * u * u * u * u * b)@(xrightleftharpoons) y (b * l * a * a * a * a * a * a * b)@(absent@(xleftrightharpoons)) z" xml:id="S3.Ex21.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="multirelation"/>
              <XMTok font="italic" role="UNKNOWN">x</XMTok>
              <XMApp role="METARELOP">
                <XMApp role="OVERACCENT">
                  <XMTok meaning="times" role="MULOP">⁢</XMTok>
                  <XMTok font="italic" role="UNKNOWN">b</XMTok>
                  <XMTok font="italic" role="UNKNOWN">l</XMTok>
                  <XMTok font="italic" role="UNKNOWN">u</XMTok>
                  <XMTok font="italic" role="UNKNOWN">u</XMTok>
                  <XMTok font="italic" role="UNKNOWN">u</XMTok>
                  <XMTok font="italic" role="UNKNOWN">u</XMTok>
                  <XMTok font="italic" role="UNKNOWN">u</XMTok>
                  <XMTok font="italic" role="UNKNOWN">b</XMTok>
                </XMApp>
                <XMTok name="xrightleftharpoons" role="METARELOP">⇌</XMTok>
              </XMApp>
              <XMTok font="italic" role="UNKNOWN">y</XMTok>
              <XMApp role="METARELOP">
                <XMApp role="UNDERACCENT">
                  <XMTok meaning="times" role="MULOP">⁢</XMTok>
                  <XMTok font="italic" role="UNKNOWN">b</XMTok>
                  <XMTok font="italic" role="UNKNOWN">l</XMTok>
                  <XMTok font="italic" role="UNKNOWN">a</XMTok>
                  <XMTok font="italic" role="UNKNOWN">a</XMTok>
                  <XMTok font="italic" role="UNKNOWN">a</XMTok>
                  <XMTok font="italic" role="UNKNOWN">a</XMTok>
                  <XMTok font="italic" role="UNKNOWN">a</XMTok>
                  <XMTok font="italic" role="UNKNOWN">a</XMTok>
                  <XMTok font="italic" role="UNKNOWN">b</XMTok>
                </XMApp>
                <XMApp>
                  <XMTok meaning="absent" role="OVERACCENT"/>
                  <XMTok name="xleftrightharpoons" role="METARELOP" stretchy="true">⇋</XMTok>
                </XMApp>
              </XMApp>
              <XMTok font="italic" role="UNKNOWN">z</XMTok>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S3.p2">
      <equation xml:id="S3.Ex22">
        <Math mode="display" tex="z=\overbrace{\underbracket{x}_{\text{real}}+i\underbracket{y}_{\text{imaginary%&#10;}}}^{\text{complex number}}\quad\underbrace{1+1}_{=2}" text="z = list@((overbrace@((underbracket@(x)) _ [real] + i * (underbracket@(y)) _ [imaginary])) ^ [complex number], (underbrace@(1 + 1)) _ (absent = 2))" xml:id="S3.Ex22.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMTok font="italic" role="UNKNOWN">z</XMTok>
              <XMDual>
                <XMApp>
                  <XMTok meaning="list"/>
                  <XMRef idref="S3.Ex22.m1.1"/>
                  <XMRef idref="S3.Ex22.m1.2"/>
                </XMApp>
                <XMWrap>
                  <XMApp scriptpos="mid" xml:id="S3.Ex22.m1.1">
                    <XMTok role="SUPERSCRIPTOP" scriptpos="mid1"/>
                    <XMApp scriptpos="mid">
                      <XMTok name="overbrace" role="OVERACCENT">⏞</XMTok>
                      <XMApp>
                        <XMTok meaning="plus" role="ADDOP">+</XMTok>
                        <XMApp scriptpos="mid">
                          <XMTok role="SUBSCRIPTOP" scriptpos="mid3"/>
                          <XMApp scriptpos="mid">
                            <XMTok name="underbracket" role="UNDERACCENT">﹇</XMTok>
                            <XMTok font="italic" role="UNKNOWN">x</XMTok>
                          </XMApp>
                          <XMText><text fontsize="70%">real</text></XMText>
                        </XMApp>
                        <XMApp>
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok font="italic" role="UNKNOWN">i</XMTok>
                          <XMApp scriptpos="mid">
                            <XMTok role="SUBSCRIPTOP" scriptpos="mid3"/>
                            <XMApp scriptpos="mid">
                              <XMTok name="underbracket" role="UNDERACCENT">﹇</XMTok>
                              <XMTok font="italic" role="UNKNOWN">y</XMTok>
                            </XMApp>
                            <XMText><text fontsize="70%">imaginary</text></XMText>
                          </XMApp>
                        </XMApp>
                      </XMApp>
                    </XMApp>
                    <XMText><text fontsize="70%">complex number</text></XMText>
                  </XMApp>
                  <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                  <XMApp scriptpos="mid" xml:id="S3.Ex22.m1.2">
                    <XMTok role="SUBSCRIPTOP" scriptpos="mid1"/>
                    <XMApp scriptpos="mid">
                      <XMTok name="underbrace" role="UNDERACCENT">⏟</XMTok>
                      <XMApp>
                        <XMTok meaning="plus" role="ADDOP">+</XMTok>
                        <XMTok meaning="1" role="NUMBER">1</XMTok>
                        <XMTok meaning="1" role="NUMBER">1</XMTok>
                      </XMApp>
                    </XMApp>
                    <XMApp>
                      <XMTok fontsize="70%" meaning="equals" role="RELOP">=</XMTok>
                      <XMTok meaning="absent"/>
                      <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                    </XMApp>
                  </XMApp>
                </XMWrap>
              </XMDual>
            </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>Matrices</title>
    <para xml:id="S4.p1">
      <equation xml:id="S4.Ex23">
        <Math mode="display" tex="\begin{matrix}c&amp;cocococococo\\&#10;c&amp;c\end{matrix}" text="matrix@(Array[[c, c * o * c * o * c * o * c * o * c * o * c * o], [c, c]])" xml:id="S4.Ex23.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="matrix"/>
                <XMRef idref="S4.Ex23.m1.1"/>
              </XMApp>
              <XMArray xml:id="S4.Ex23.m1.1">
                <XMRow>
                  <XMCell align="center">
                    <XMTok font="italic" role="UNKNOWN">c</XMTok>
                  </XMCell>
                  <XMCell align="center">
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMTok font="italic" role="UNKNOWN">c</XMTok>
                      <XMTok font="italic" role="UNKNOWN">o</XMTok>
                      <XMTok font="italic" role="UNKNOWN">c</XMTok>
                      <XMTok font="italic" role="UNKNOWN">o</XMTok>
                      <XMTok font="italic" role="UNKNOWN">c</XMTok>
                      <XMTok font="italic" role="UNKNOWN">o</XMTok>
                      <XMTok font="italic" role="UNKNOWN">c</XMTok>
                      <XMTok font="italic" role="UNKNOWN">o</XMTok>
                      <XMTok font="italic" role="UNKNOWN">c</XMTok>
                      <XMTok font="italic" role="UNKNOWN">o</XMTok>
                      <XMTok font="italic" role="UNKNOWN">c</XMTok>
                      <XMTok font="italic" role="UNKNOWN">o</XMTok>
                    </XMApp>
                  </XMCell>
                </XMRow>
                <XMRow>
                  <XMCell align="center">
                    <XMTok font="italic" role="UNKNOWN">c</XMTok>
                  </XMCell>
                  <XMCell align="center">
                    <XMTok font="italic" role="UNKNOWN">c</XMTok>
                  </XMCell>
                </XMRow>
              </XMArray>
            </XMDual>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S4.p2">
      <equation xml:id="S4.Ex24">
        <Math mode="display" tex="\begin{matrix}[l]lalalalalala&amp;l\\&#10;l&amp;l\end{matrix}" text="matrix@(Array[[l * a * l * a * l * a * l * a * l * a * l * a, l], [l, l]])" xml:id="S4.Ex24.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="matrix"/>
                <XMRef idref="S4.Ex24.m1.1"/>
              </XMApp>
              <XMArray xml:id="S4.Ex24.m1.1">
                <XMRow>
                  <XMCell align="left">
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMTok font="italic" role="UNKNOWN">l</XMTok>
                      <XMTok font="italic" role="UNKNOWN">a</XMTok>
                      <XMTok font="italic" role="UNKNOWN">l</XMTok>
                      <XMTok font="italic" role="UNKNOWN">a</XMTok>
                      <XMTok font="italic" role="UNKNOWN">l</XMTok>
                      <XMTok font="italic" role="UNKNOWN">a</XMTok>
                      <XMTok font="italic" role="UNKNOWN">l</XMTok>
                      <XMTok font="italic" role="UNKNOWN">a</XMTok>
                      <XMTok font="italic" role="UNKNOWN">l</XMTok>
                      <XMTok font="italic" role="UNKNOWN">a</XMTok>
                      <XMTok font="italic" role="UNKNOWN">l</XMTok>
                      <XMTok font="italic" role="UNKNOWN">a</XMTok>
                    </XMApp>
                  </XMCell>
                  <XMCell align="left">
                    <XMTok font="italic" role="UNKNOWN">l</XMTok>
                  </XMCell>
                </XMRow>
                <XMRow>
                  <XMCell align="left">
                    <XMTok font="italic" role="UNKNOWN">l</XMTok>
                  </XMCell>
                  <XMCell align="left">
                    <XMTok font="italic" role="UNKNOWN">l</XMTok>
                  </XMCell>
                </XMRow>
              </XMArray>
            </XMDual>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S4.p3">
      <equation xml:id="S4.Ex25">
        <Math mode="display" tex="\begin{matrix}[r]rererererere&amp;r\\&#10;r&amp;r\end{matrix}" text="matrix@(Array[[r * e * r * e * r * e * r * e * r * e * r * e, r], [r, r]])" xml:id="S4.Ex25.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="matrix"/>
                <XMRef idref="S4.Ex25.m1.1"/>
              </XMApp>
              <XMArray xml:id="S4.Ex25.m1.1">
                <XMRow>
                  <XMCell align="right">
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMTok font="italic" role="UNKNOWN">r</XMTok>
                      <XMTok font="italic" role="UNKNOWN">e</XMTok>
                      <XMTok font="italic" role="UNKNOWN">r</XMTok>
                      <XMTok font="italic" role="UNKNOWN">e</XMTok>
                      <XMTok font="italic" role="UNKNOWN">r</XMTok>
                      <XMTok font="italic" role="UNKNOWN">e</XMTok>
                      <XMTok font="italic" role="UNKNOWN">r</XMTok>
                      <XMTok font="italic" role="UNKNOWN">e</XMTok>
                      <XMTok font="italic" role="UNKNOWN">r</XMTok>
                      <XMTok font="italic" role="UNKNOWN">e</XMTok>
                      <XMTok font="italic" role="UNKNOWN">r</XMTok>
                      <XMTok font="italic" role="UNKNOWN">e</XMTok>
                    </XMApp>
                  </XMCell>
                  <XMCell align="right">
                    <XMTok font="italic" role="UNKNOWN">r</XMTok>
                  </XMCell>
                </XMRow>
                <XMRow>
                  <XMCell align="right">
                    <XMTok font="italic" role="UNKNOWN">r</XMTok>
                  </XMCell>
                  <XMCell align="right">
                    <XMTok font="italic" role="UNKNOWN">r</XMTok>
                  </XMCell>
                </XMRow>
              </XMArray>
            </XMDual>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S4.p4">
      <equation xml:id="S4.Ex26">
        <Math mode="display" tex="\begin{pmatrix}[l]ppppppp&amp;foo\\&#10;l&amp;ppppppppppppppp\end{pmatrix}" text="matrix@(Array[[p * p * p * p * p * p * p, f * o * o], [l, p * p * p * p * p * p * p * p * p * p * p * p * p * p * p]])" xml:id="S4.Ex26.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="matrix"/>
                <XMRef idref="S4.Ex26.m1.1"/>
              </XMApp>
              <XMWrap>
                <XMTok role="OPEN" stretchy="true">(</XMTok>
                <XMArray xml:id="S4.Ex26.m1.1">
                  <XMRow>
                    <XMCell align="left">
                      <XMApp>
                        <XMTok meaning="times" role="MULOP">⁢</XMTok>
                        <XMTok font="italic" role="UNKNOWN">p</XMTok>
                        <XMTok font="italic" role="UNKNOWN">p</XMTok>
                        <XMTok font="italic" role="UNKNOWN">p</XMTok>
                        <XMTok font="italic" role="UNKNOWN">p</XMTok>
                        <XMTok font="italic" role="UNKNOWN">p</XMTok>
                        <XMTok font="italic" role="UNKNOWN">p</XMTok>
                        <XMTok font="italic" role="UNKNOWN">p</XMTok>
                      </XMApp>
                    </XMCell>
                    <XMCell align="left">
                      <XMApp>
                        <XMTok meaning="times" role="MULOP">⁢</XMTok>
                        <XMTok font="italic" role="UNKNOWN">f</XMTok>
                        <XMTok font="italic" role="UNKNOWN">o</XMTok>
                        <XMTok font="italic" role="UNKNOWN">o</XMTok>
                      </XMApp>
                    </XMCell>
                  </XMRow>
                  <XMRow>
                    <XMCell align="left">
                      <XMTok font="italic" role="UNKNOWN">l</XMTok>
                    </XMCell>
                    <XMCell align="left">
                      <XMApp>
                        <XMTok meaning="times" role="MULOP">⁢</XMTok>
                        <XMTok font="italic" role="UNKNOWN">p</XMTok>
                        <XMTok font="italic" role="UNKNOWN">p</XMTok>
                        <XMTok font="italic" role="UNKNOWN">p</XMTok>
                        <XMTok font="italic" role="UNKNOWN">p</XMTok>
                        <XMTok font="italic" role="UNKNOWN">p</XMTok>
                        <XMTok font="italic" role="UNKNOWN">p</XMTok>
                        <XMTok font="italic" role="UNKNOWN">p</XMTok>
                        <XMTok font="italic" role="UNKNOWN">p</XMTok>
                        <XMTok font="italic" role="UNKNOWN">p</XMTok>
                        <XMTok font="italic" role="UNKNOWN">p</XMTok>
                        <XMTok font="italic" role="UNKNOWN">p</XMTok>
                        <XMTok font="italic" role="UNKNOWN">p</XMTok>
                        <XMTok font="italic" role="UNKNOWN">p</XMTok>
                        <XMTok font="italic" role="UNKNOWN">p</XMTok>
                        <XMTok font="italic" role="UNKNOWN">p</XMTok>
                      </XMApp>
                    </XMCell>
                  </XMRow>
                </XMArray>
                <XMTok role="CLOSE" stretchy="true">)</XMTok>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S4.p5">
      <equation xml:id="S4.Ex27">
        <Math mode="display" tex="\begin{bmatrix}b&amp;b\\&#10;b&amp;b\end{bmatrix}" text="matrix@(Array[[b, b], [b, b]])" xml:id="S4.Ex27.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="matrix"/>
                <XMRef idref="S4.Ex27.m1.1"/>
              </XMApp>
              <XMWrap>
                <XMTok role="OPEN" stretchy="true">[</XMTok>
                <XMArray xml:id="S4.Ex27.m1.1">
                  <XMRow>
                    <XMCell align="center">
                      <XMTok font="italic" role="UNKNOWN">b</XMTok>
                    </XMCell>
                    <XMCell align="center">
                      <XMTok font="italic" role="UNKNOWN">b</XMTok>
                    </XMCell>
                  </XMRow>
                  <XMRow>
                    <XMCell align="center">
                      <XMTok font="italic" role="UNKNOWN">b</XMTok>
                    </XMCell>
                    <XMCell align="center">
                      <XMTok font="italic" role="UNKNOWN">b</XMTok>
                    </XMCell>
                  </XMRow>
                </XMArray>
                <XMTok role="CLOSE" stretchy="true">]</XMTok>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S4.p6">
      <equation xml:id="S4.Ex28">
        <Math mode="display" tex="\begin{Bmatrix}[r]B&amp;B\\&#10;B&amp;BBBBBBBrBBBBBB\end{Bmatrix}" text="matrix@(Array[[B, B], [B, B * B * B * B * B * B * B * r * B * B * B * B * B * B]])" xml:id="S4.Ex28.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="matrix"/>
                <XMRef idref="S4.Ex28.m1.1"/>
              </XMApp>
              <XMWrap>
                <XMTok role="OPEN" stretchy="true">{</XMTok>
                <XMArray xml:id="S4.Ex28.m1.1">
                  <XMRow>
                    <XMCell align="right">
                      <XMTok font="italic" role="UNKNOWN">B</XMTok>
                    </XMCell>
                    <XMCell align="right">
                      <XMTok font="italic" role="UNKNOWN">B</XMTok>
                    </XMCell>
                  </XMRow>
                  <XMRow>
                    <XMCell align="right">
                      <XMTok font="italic" role="UNKNOWN">B</XMTok>
                    </XMCell>
                    <XMCell align="right">
                      <XMApp>
                        <XMTok meaning="times" role="MULOP">⁢</XMTok>
                        <XMTok font="italic" role="UNKNOWN">B</XMTok>
                        <XMTok font="italic" role="UNKNOWN">B</XMTok>
                        <XMTok font="italic" role="UNKNOWN">B</XMTok>
                        <XMTok font="italic" role="UNKNOWN">B</XMTok>
                        <XMTok font="italic" role="UNKNOWN">B</XMTok>
                        <XMTok font="italic" role="UNKNOWN">B</XMTok>
                        <XMTok font="italic" role="UNKNOWN">B</XMTok>
                        <XMTok font="italic" role="UNKNOWN">r</XMTok>
                        <XMTok font="italic" role="UNKNOWN">B</XMTok>
                        <XMTok font="italic" role="UNKNOWN">B</XMTok>
                        <XMTok font="italic" role="UNKNOWN">B</XMTok>
                        <XMTok font="italic" role="UNKNOWN">B</XMTok>
                        <XMTok font="italic" role="UNKNOWN">B</XMTok>
                        <XMTok font="italic" role="UNKNOWN">B</XMTok>
                      </XMApp>
                    </XMCell>
                  </XMRow>
                </XMArray>
                <XMTok role="CLOSE" stretchy="true">}</XMTok>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S4.p7">
      <equation xml:id="S4.Ex29">
        <Math mode="display" tex="\begin{vmatrix}v&amp;v\\&#10;v&amp;v\end{vmatrix}" text="determinant@(matrix@(Array[[v, v], [v, v]]))" xml:id="S4.Ex29.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="determinant"/>
                <XMApp>
                  <XMTok meaning="matrix"/>
                  <XMRef idref="S4.Ex29.m1.1"/>
                </XMApp>
              </XMApp>
              <XMWrap>
                <XMTok role="VERTBAR" stretchy="true">|</XMTok>
                <XMArray xml:id="S4.Ex29.m1.1">
                  <XMRow>
                    <XMCell align="center">
                      <XMTok font="italic" role="UNKNOWN">v</XMTok>
                    </XMCell>
                    <XMCell align="center">
                      <XMTok font="italic" role="UNKNOWN">v</XMTok>
                    </XMCell>
                  </XMRow>
                  <XMRow>
                    <XMCell align="center">
                      <XMTok font="italic" role="UNKNOWN">v</XMTok>
                    </XMCell>
                    <XMCell align="center">
                      <XMTok font="italic" role="UNKNOWN">v</XMTok>
                    </XMCell>
                  </XMRow>
                </XMArray>
                <XMTok role="VERTBAR" stretchy="true">|</XMTok>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S4.p8">
      <equation xml:id="S4.Ex30">
        <Math mode="display" tex="\begin{Vmatrix}[c]V&amp;V\\&#10;VVVVVVcVVVVVV&amp;bar\end{Vmatrix}" text="norm@(matrix@(Array[[V, V], [V * V * V * V * V * V * c * V * V * V * V * V * V, b * a * r]]))" xml:id="S4.Ex30.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="norm"/>
                <XMApp>
                  <XMTok meaning="matrix"/>
                  <XMRef idref="S4.Ex30.m1.1"/>
                </XMApp>
              </XMApp>
              <XMWrap>
                <XMTok role="VERTBAR" stretchy="true">∥</XMTok>
                <XMArray xml:id="S4.Ex30.m1.1">
                  <XMRow>
                    <XMCell align="center">
                      <XMTok font="italic" role="UNKNOWN">V</XMTok>
                    </XMCell>
                    <XMCell align="center">
                      <XMTok font="italic" role="UNKNOWN">V</XMTok>
                    </XMCell>
                  </XMRow>
                  <XMRow>
                    <XMCell align="center">
                      <XMApp>
                        <XMTok meaning="times" role="MULOP">⁢</XMTok>
                        <XMTok font="italic" role="UNKNOWN">V</XMTok>
                        <XMTok font="italic" role="UNKNOWN">V</XMTok>
                        <XMTok font="italic" role="UNKNOWN">V</XMTok>
                        <XMTok font="italic" role="UNKNOWN">V</XMTok>
                        <XMTok font="italic" role="UNKNOWN">V</XMTok>
                        <XMTok font="italic" role="UNKNOWN">V</XMTok>
                        <XMTok font="italic" role="UNKNOWN">c</XMTok>
                        <XMTok font="italic" role="UNKNOWN">V</XMTok>
                        <XMTok font="italic" role="UNKNOWN">V</XMTok>
                        <XMTok font="italic" role="UNKNOWN">V</XMTok>
                        <XMTok font="italic" role="UNKNOWN">V</XMTok>
                        <XMTok font="italic" role="UNKNOWN">V</XMTok>
                        <XMTok font="italic" role="UNKNOWN">V</XMTok>
                      </XMApp>
                    </XMCell>
                    <XMCell align="center">
                      <XMApp>
                        <XMTok meaning="times" role="MULOP">⁢</XMTok>
                        <XMTok font="italic" role="UNKNOWN">b</XMTok>
                        <XMTok font="italic" role="UNKNOWN">a</XMTok>
                        <XMTok font="italic" role="UNKNOWN">r</XMTok>
                      </XMApp>
                    </XMCell>
                  </XMRow>
                </XMArray>
                <XMTok role="VERTBAR" stretchy="true">∥</XMTok>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S4.p9">
      <equation xml:id="S4.Ex31">
        <Math mode="display" tex="\begin{vmatrix}[l]a&amp;blblblbllbblblblblblblbl\\&#10;c&amp;d\end{vmatrix}" text="determinant@(matrix@(Array[[a, b * l * b * l * b * l * b * l * l * b * b * l * b * l * b * l * b * l * b * l * b * l * b * l], [c, d]]))" xml:id="S4.Ex31.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="determinant"/>
                <XMApp>
                  <XMTok meaning="matrix"/>
                  <XMRef idref="S4.Ex31.m1.1"/>
                </XMApp>
              </XMApp>
              <XMWrap>
                <XMTok role="VERTBAR" stretchy="true">|</XMTok>
                <XMArray xml:id="S4.Ex31.m1.1">
                  <XMRow>
                    <XMCell align="left">
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN">a</XMTok>
                    </XMCell>
                    <XMCell align="left">
                      <XMApp>
                        <XMTok meaning="times" role="MULOP">⁢</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">l</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">l</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">l</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">l</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">l</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">l</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">l</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">l</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">l</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">l</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">l</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">l</XMTok>
                      </XMApp>
                    </XMCell>
                  </XMRow>
                  <XMRow>
                    <XMCell align="left">
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN">c</XMTok>
                    </XMCell>
                    <XMCell align="left">
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN">d</XMTok>
                    </XMCell>
                  </XMRow>
                </XMArray>
                <XMTok role="VERTBAR" stretchy="true">|</XMTok>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S4.p10">
      <equation xml:id="S4.Ex32">
        <Math mode="display" tex="\begin{bmatrix}a&amp;-b\\&#10;-c&amp;d\end{bmatrix}\begin{bmatrix}[r]a&amp;-b\\&#10;-c&amp;d\end{bmatrix}" text="matrix@(Array[[a, - b], [- c, d]]) * matrix@(Array[[a, - b], [- c, d]])" xml:id="S4.Ex32.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="times" role="MULOP">⁢</XMTok>
              <XMDual>
                <XMApp>
                  <XMTok meaning="matrix"/>
                  <XMRef idref="S4.Ex32.m1.1"/>
                </XMApp>
                <XMWrap>
                  <XMTok role="OPEN" stretchy="true">[</XMTok>
                  <XMArray xml:id="S4.Ex32.m1.1">
                    <XMRow>
                      <XMCell align="center">
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">a</XMTok>
                      </XMCell>
                      <XMCell align="center">
                        <XMApp>
                          <XMTok fontsize="70%" meaning="minus" role="ADDOP">-</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                    <XMRow>
                      <XMCell align="center">
                        <XMApp>
                          <XMTok fontsize="70%" meaning="minus" role="ADDOP">-</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">c</XMTok>
                        </XMApp>
                      </XMCell>
                      <XMCell align="center">
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">d</XMTok>
                      </XMCell>
                    </XMRow>
                  </XMArray>
                  <XMTok role="CLOSE" stretchy="true">]</XMTok>
                </XMWrap>
              </XMDual>
              <XMDual>
                <XMApp>
                  <XMTok meaning="matrix"/>
                  <XMRef idref="S4.Ex32.m1.2"/>
                </XMApp>
                <XMWrap>
                  <XMTok role="OPEN" stretchy="true">[</XMTok>
                  <XMArray xml:id="S4.Ex32.m1.2">
                    <XMRow>
                      <XMCell align="right">
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">a</XMTok>
                      </XMCell>
                      <XMCell align="right">
                        <XMApp>
                          <XMTok fontsize="70%" meaning="minus" role="ADDOP">-</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                    <XMRow>
                      <XMCell align="right">
                        <XMApp>
                          <XMTok fontsize="70%" meaning="minus" role="ADDOP">-</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">c</XMTok>
                        </XMApp>
                      </XMCell>
                      <XMCell align="right">
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">d</XMTok>
                      </XMCell>
                    </XMRow>
                  </XMArray>
                  <XMTok role="CLOSE" stretchy="true">]</XMTok>
                </XMWrap>
              </XMDual>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S4.p11">
      <equation xml:id="S4.Ex33">
        <Math mode="display" tex="\begin{Vmatrix}e&amp;-f\\&#10;-g&amp;h\end{Vmatrix}\begin{Vmatrix}[r]e&amp;-f\\&#10;-g&amp;h\end{Vmatrix}" text="norm@(matrix@(Array[[e, - f], [- g, h]])) * norm@(matrix@(Array[[e, - f], [- g, h]]))" xml:id="S4.Ex33.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="times" role="MULOP">⁢</XMTok>
              <XMDual>
                <XMApp>
                  <XMTok meaning="norm"/>
                  <XMApp>
                    <XMTok meaning="matrix"/>
                    <XMRef idref="S4.Ex33.m1.1"/>
                  </XMApp>
                </XMApp>
                <XMWrap>
                  <XMTok role="VERTBAR" stretchy="true">∥</XMTok>
                  <XMArray xml:id="S4.Ex33.m1.1">
                    <XMRow>
                      <XMCell align="center">
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">e</XMTok>
                      </XMCell>
                      <XMCell align="center">
                        <XMApp>
                          <XMTok fontsize="70%" meaning="minus" role="ADDOP">-</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">f</XMTok>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                    <XMRow>
                      <XMCell align="center">
                        <XMApp>
                          <XMTok fontsize="70%" meaning="minus" role="ADDOP">-</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">g</XMTok>
                        </XMApp>
                      </XMCell>
                      <XMCell align="center">
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">h</XMTok>
                      </XMCell>
                    </XMRow>
                  </XMArray>
                  <XMTok role="VERTBAR" stretchy="true">∥</XMTok>
                </XMWrap>
              </XMDual>
              <XMDual>
                <XMApp>
                  <XMTok meaning="norm"/>
                  <XMApp>
                    <XMTok meaning="matrix"/>
                    <XMRef idref="S4.Ex33.m1.2"/>
                  </XMApp>
                </XMApp>
                <XMWrap>
                  <XMTok role="VERTBAR" stretchy="true">∥</XMTok>
                  <XMArray xml:id="S4.Ex33.m1.2">
                    <XMRow>
                      <XMCell align="right">
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">e</XMTok>
                      </XMCell>
                      <XMCell align="right">
                        <XMApp>
                          <XMTok fontsize="70%" meaning="minus" role="ADDOP">-</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">f</XMTok>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                    <XMRow>
                      <XMCell align="right">
                        <XMApp>
                          <XMTok fontsize="70%" meaning="minus" role="ADDOP">-</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">g</XMTok>
                        </XMApp>
                      </XMCell>
                      <XMCell align="right">
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">h</XMTok>
                      </XMCell>
                    </XMRow>
                  </XMArray>
                  <XMTok role="VERTBAR" stretchy="true">∥</XMTok>
                </XMWrap>
              </XMDual>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S4.p12">
      <equation xml:id="S4.Ex34">
        <Math mode="display" tex="\begin{bmatrix}a&amp;-bbbbb\\&#10;-c&amp;d\end{bmatrix}\begin{bmatrix}[r]a&amp;-bbbbb\\&#10;-c&amp;d\end{bmatrix}" text="matrix@(Array[[a, - b * b * b * b * b], [- c, d]]) * matrix@(Array[[a, - b * b * b * b * b], [- c, d]])" xml:id="S4.Ex34.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="times" role="MULOP">⁢</XMTok>
              <XMDual>
                <XMApp>
                  <XMTok meaning="matrix"/>
                  <XMRef idref="S4.Ex34.m1.1"/>
                </XMApp>
                <XMWrap>
                  <XMTok role="OPEN" stretchy="true">[</XMTok>
                  <XMArray xml:id="S4.Ex34.m1.1">
                    <XMRow>
                      <XMCell align="center">
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">a</XMTok>
                      </XMCell>
                      <XMCell align="center">
                        <XMApp>
                          <XMTok fontsize="70%" meaning="minus" role="ADDOP">-</XMTok>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                          </XMApp>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                    <XMRow>
                      <XMCell align="center">
                        <XMApp>
                          <XMTok fontsize="70%" meaning="minus" role="ADDOP">-</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">c</XMTok>
                        </XMApp>
                      </XMCell>
                      <XMCell align="center">
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">d</XMTok>
                      </XMCell>
                    </XMRow>
                  </XMArray>
                  <XMTok role="CLOSE" stretchy="true">]</XMTok>
                </XMWrap>
              </XMDual>
              <XMDual>
                <XMApp>
                  <XMTok meaning="matrix"/>
                  <XMRef idref="S4.Ex34.m1.2"/>
                </XMApp>
                <XMWrap>
                  <XMTok role="OPEN" stretchy="true">[</XMTok>
                  <XMArray xml:id="S4.Ex34.m1.2">
                    <XMRow>
                      <XMCell align="right">
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">a</XMTok>
                      </XMCell>
                      <XMCell align="right">
                        <XMApp>
                          <XMTok fontsize="70%" meaning="minus" role="ADDOP">-</XMTok>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                          </XMApp>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                    <XMRow>
                      <XMCell align="right">
                        <XMApp>
                          <XMTok fontsize="70%" meaning="minus" role="ADDOP">-</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">c</XMTok>
                        </XMApp>
                      </XMCell>
                      <XMCell align="right">
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">d</XMTok>
                      </XMCell>
                    </XMRow>
                  </XMArray>
                  <XMTok role="CLOSE" stretchy="true">]</XMTok>
                </XMWrap>
              </XMDual>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S4.p13">
      <equation xml:id="S4.Ex35">
        <Math mode="display" tex="\begin{Vmatrix}e&amp;-fffff\\&#10;-g&amp;h\end{Vmatrix}\begin{Vmatrix}[r]e&amp;-fffff\\&#10;-g&amp;h\end{Vmatrix}" text="norm@(matrix@(Array[[e, - f * f * f * f * f], [- g, h]])) * norm@(matrix@(Array[[e, - f * f * f * f * f], [- g, h]]))" xml:id="S4.Ex35.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="times" role="MULOP">⁢</XMTok>
              <XMDual>
                <XMApp>
                  <XMTok meaning="norm"/>
                  <XMApp>
                    <XMTok meaning="matrix"/>
                    <XMRef idref="S4.Ex35.m1.1"/>
                  </XMApp>
                </XMApp>
                <XMWrap>
                  <XMTok role="VERTBAR" stretchy="true">∥</XMTok>
                  <XMArray xml:id="S4.Ex35.m1.1">
                    <XMRow>
                      <XMCell align="center">
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">e</XMTok>
                      </XMCell>
                      <XMCell align="center">
                        <XMApp>
                          <XMTok fontsize="70%" meaning="minus" role="ADDOP">-</XMTok>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">f</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">f</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">f</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">f</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">f</XMTok>
                          </XMApp>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                    <XMRow>
                      <XMCell align="center">
                        <XMApp>
                          <XMTok fontsize="70%" meaning="minus" role="ADDOP">-</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">g</XMTok>
                        </XMApp>
                      </XMCell>
                      <XMCell align="center">
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">h</XMTok>
                      </XMCell>
                    </XMRow>
                  </XMArray>
                  <XMTok role="VERTBAR" stretchy="true">∥</XMTok>
                </XMWrap>
              </XMDual>
              <XMDual>
                <XMApp>
                  <XMTok meaning="norm"/>
                  <XMApp>
                    <XMTok meaning="matrix"/>
                    <XMRef idref="S4.Ex35.m1.2"/>
                  </XMApp>
                </XMApp>
                <XMWrap>
                  <XMTok role="VERTBAR" stretchy="true">∥</XMTok>
                  <XMArray xml:id="S4.Ex35.m1.2">
                    <XMRow>
                      <XMCell align="right">
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">e</XMTok>
                      </XMCell>
                      <XMCell align="right">
                        <XMApp>
                          <XMTok fontsize="70%" meaning="minus" role="ADDOP">-</XMTok>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">f</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">f</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">f</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">f</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">f</XMTok>
                          </XMApp>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                    <XMRow>
                      <XMCell align="right">
                        <XMApp>
                          <XMTok fontsize="70%" meaning="minus" role="ADDOP">-</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">g</XMTok>
                        </XMApp>
                      </XMCell>
                      <XMCell align="right">
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">h</XMTok>
                      </XMCell>
                    </XMRow>
                  </XMArray>
                  <XMTok role="VERTBAR" stretchy="true">∥</XMTok>
                </XMWrap>
              </XMDual>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S4.p14">
      <equation xml:id="S4.Ex36">
        <Math mode="display" tex="\begin{bmatrix}[l]a&amp;-bbbbb\\&#10;-c&amp;d\end{bmatrix}\begin{bmatrix}[r]a&amp;-bbbbb\\&#10;-c&amp;d\end{bmatrix}" text="matrix@(Array[[a, - b * b * b * b * b], [- c, d]]) * matrix@(Array[[a, - b * b * b * b * b], [- c, d]])" xml:id="S4.Ex36.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="times" role="MULOP">⁢</XMTok>
              <XMDual>
                <XMApp>
                  <XMTok meaning="matrix"/>
                  <XMRef idref="S4.Ex36.m1.1"/>
                </XMApp>
                <XMWrap>
                  <XMTok role="OPEN" stretchy="true">[</XMTok>
                  <XMArray xml:id="S4.Ex36.m1.1">
                    <XMRow>
                      <XMCell align="left">
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">a</XMTok>
                      </XMCell>
                      <XMCell align="left">
                        <XMApp>
                          <XMTok fontsize="70%" meaning="minus" role="ADDOP">-</XMTok>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
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                        <XMApp>
                          <XMTok fontsize="70%" meaning="minus" role="ADDOP">-</XMTok>
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              </XMDual>
              <XMDual>
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                  <XMTok meaning="matrix"/>
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                  <XMTok role="OPEN" stretchy="true">[</XMTok>
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                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
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                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">d</XMTok>
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                  <XMTok role="CLOSE" stretchy="true">]</XMTok>
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              </XMDual>
            </XMApp>
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        </Math>
      </equation>
    </para>
    <para xml:id="S4.p15">
      <equation xml:id="S4.Ex37">
        <Math mode="display" tex="\begin{Vmatrix}[l]e&amp;-fffff\\&#10;-g&amp;h\end{Vmatrix}\begin{Vmatrix}[r]e&amp;-fffff\\&#10;-g&amp;h\end{Vmatrix}" text="norm@(matrix@(Array[[e, - f * f * f * f * f], [- g, h]])) * norm@(matrix@(Array[[e, - f * f * f * f * f], [- g, h]]))" xml:id="S4.Ex37.m1">
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                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">f</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">f</XMTok>
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                          <XMTok fontsize="70%" meaning="minus" role="ADDOP">-</XMTok>
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                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">f</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN">f</XMTok>
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                      <XMCell align="right">
                        <XMApp>
                          <XMTok fontsize="70%" meaning="minus" role="ADDOP">-</XMTok>
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                  <XMTok role="VERTBAR" stretchy="true">∥</XMTok>
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              </XMDual>
            </XMApp>
          </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>Cases</title>
    <para xml:id="S5.p1">
      <equation xml:id="S5.Ex38">
        <Math mode="display" tex="\begin{cases}E=mc^{2}&amp;\text{Nothing to see here}\\&#10;\int x-3\,dx&amp;\text{Integral is text style}\end{cases}" text="cases@(E = m * c ^ 2, [Nothing to see here], integral@(x) - 3 * d * x, [Integral is text style])" xml:id="S5.Ex38.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="cases"/>
                <XMRef idref="S5.Ex38.m1.1"/>
                <XMRef idref="S5.Ex38.m1.2"/>
                <XMRef idref="S5.Ex38.m1.3"/>
                <XMRef idref="S5.Ex38.m1.4"/>
              </XMApp>
              <XMWrap>
                <XMTok role="OPEN" stretchy="true">{</XMTok>
                <XMArray>
                  <XMRow>
                    <XMCell align="left">
                      <XMApp xml:id="S5.Ex38.m1.1">
                        <XMTok meaning="equals" role="RELOP">=</XMTok>
                        <XMTok font="italic" role="UNKNOWN">E</XMTok>
                        <XMApp>
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok font="italic" role="UNKNOWN">m</XMTok>
                          <XMApp>
                            <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                            <XMTok font="italic" role="UNKNOWN">c</XMTok>
                            <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                          </XMApp>
                        </XMApp>
                      </XMApp>
                    </XMCell>
                    <XMCell align="left">
                      <XMText xml:id="S5.Ex38.m1.2">Nothing to see here</XMText>
                    </XMCell>
                  </XMRow>
                  <XMRow>
                    <XMCell align="left">
                      <XMApp xml:id="S5.Ex38.m1.3">
                        <XMTok meaning="minus" role="ADDOP">-</XMTok>
                        <XMApp>
                          <XMTok mathstyle="text" meaning="integral" name="int" role="INTOP">∫</XMTok>
                          <XMTok font="italic" role="UNKNOWN">x</XMTok>
                        </XMApp>
                        <XMApp>
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok meaning="3" role="NUMBER" rpadding="1.7pt">3</XMTok>
                          <XMTok font="italic" role="UNKNOWN">d</XMTok>
                          <XMTok font="italic" role="UNKNOWN">x</XMTok>
                        </XMApp>
                      </XMApp>
                    </XMCell>
                    <XMCell align="left">
                      <XMText xml:id="S5.Ex38.m1.4">Integral is text style</XMText>
                    </XMCell>
                  </XMRow>
                </XMArray>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S5.p2">
      <equation xml:id="S5.Ex39">
        <Math mode="display" tex="\begin{dcases}E=mc^{2}&amp;c\approx 3.00\times 10^{8}\,\mathrm{m}/\mathrm{s}\\&#10;\int x-3\,dx&amp;\text{Integral is display style}\end{dcases}" text="cases@(E = m * c ^ 2, c approximately-equals (3.00 * 10 ^ 8 * m) / s, integral@(x) - 3 * d * x, [Integral is display style])" xml:id="S5.Ex39.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="cases"/>
                <XMRef idref="S5.Ex39.m1.1"/>
                <XMRef idref="S5.Ex39.m1.2"/>
                <XMRef idref="S5.Ex39.m1.3"/>
                <XMRef idref="S5.Ex39.m1.4"/>
              </XMApp>
              <XMWrap>
                <XMTok role="OPEN" stretchy="true">{</XMTok>
                <XMArray>
                  <XMRow>
                    <XMCell align="left">
                      <XMApp xml:id="S5.Ex39.m1.1">
                        <XMTok meaning="equals" role="RELOP">=</XMTok>
                        <XMTok font="italic" role="UNKNOWN">E</XMTok>
                        <XMApp>
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok font="italic" role="UNKNOWN">m</XMTok>
                          <XMApp>
                            <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                            <XMTok font="italic" role="UNKNOWN">c</XMTok>
                            <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                          </XMApp>
                        </XMApp>
                      </XMApp>
                    </XMCell>
                    <XMCell align="left">
                      <XMApp xml:id="S5.Ex39.m1.2">
                        <XMTok meaning="approximately-equals" name="approx" role="RELOP">≈</XMTok>
                        <XMTok font="italic" role="UNKNOWN">c</XMTok>
                        <XMApp>
                          <XMTok meaning="divide" role="MULOP">/</XMTok>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMApp>
                              <XMTok meaning="times" role="MULOP">×</XMTok>
                              <XMTok meaning="3.00" role="NUMBER">3.00</XMTok>
                              <XMApp rpadding="1.7pt">
                                <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                                <XMTok meaning="10" role="NUMBER">10</XMTok>
                                <XMTok fontsize="70%" meaning="8" role="NUMBER">8</XMTok>
                              </XMApp>
                            </XMApp>
                            <XMTok role="UNKNOWN">m</XMTok>
                          </XMApp>
                          <XMTok role="UNKNOWN">s</XMTok>
                        </XMApp>
                      </XMApp>
                    </XMCell>
                  </XMRow>
                  <XMRow>
                    <XMCell align="left">
                      <XMApp xml:id="S5.Ex39.m1.3">
                        <XMTok meaning="minus" role="ADDOP">-</XMTok>
                        <XMApp>
                          <XMTok mathstyle="display" meaning="integral" name="int" role="INTOP">∫</XMTok>
                          <XMTok font="italic" role="UNKNOWN">x</XMTok>
                        </XMApp>
                        <XMApp>
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok meaning="3" role="NUMBER" rpadding="1.7pt">3</XMTok>
                          <XMTok font="italic" role="UNKNOWN">d</XMTok>
                          <XMTok font="italic" role="UNKNOWN">x</XMTok>
                        </XMApp>
                      </XMApp>
                    </XMCell>
                    <XMCell align="left">
                      <XMText xml:id="S5.Ex39.m1.4">Integral is display style</XMText>
                    </XMCell>
                  </XMRow>
                </XMArray>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S5.p3">
      <equation xml:id="S5.Ex40">
        <Math mode="display" tex="a=\begin{dcases*}E=mc^{2}&amp;Nothing to see here (text in math)\\&#10;\int x-3\,dx&amp;Integral is display style (text in math)\end{dcases*}" text="a = cases@(E = m * c ^ 2, [Nothing to see here (text in math)], integral@(x) - 3 * d * x, [Integral is display style (text in math)])" xml:id="S5.Ex40.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
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                  <XMTok meaning="cases"/>
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                  <XMRef idref="S5.Ex40.m1.4"/>
                </XMApp>
                <XMWrap>
                  <XMTok role="OPEN" stretchy="true">{</XMTok>
                  <XMArray>
                    <XMRow>
                      <XMCell align="left">
                        <XMApp xml:id="S5.Ex40.m1.1">
                          <XMTok meaning="equals" role="RELOP">=</XMTok>
                          <XMTok font="italic" role="UNKNOWN">E</XMTok>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok font="italic" role="UNKNOWN">m</XMTok>
                            <XMApp>
                              <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                              <XMTok font="italic" role="UNKNOWN">c</XMTok>
                              <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                            </XMApp>
                          </XMApp>
                        </XMApp>
                      </XMCell>
                      <XMCell align="left">
                        <XMText xml:id="S5.Ex40.m1.2">Nothing to see here (text in math)</XMText>
                      </XMCell>
                    </XMRow>
                    <XMRow>
                      <XMCell align="left">
                        <XMApp xml:id="S5.Ex40.m1.3">
                          <XMTok meaning="minus" role="ADDOP">-</XMTok>
                          <XMApp>
                            <XMTok mathstyle="display" meaning="integral" name="int" role="INTOP">∫</XMTok>
                            <XMTok font="italic" role="UNKNOWN">x</XMTok>
                          </XMApp>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok meaning="3" role="NUMBER" rpadding="1.7pt">3</XMTok>
                            <XMTok font="italic" role="UNKNOWN">d</XMTok>
                            <XMTok font="italic" role="UNKNOWN">x</XMTok>
                          </XMApp>
                        </XMApp>
                      </XMCell>
                      <XMCell align="left">
                        <XMText xml:id="S5.Ex40.m1.4">Integral is display style (text in math)</XMText>
                      </XMCell>
                    </XMRow>
                  </XMArray>
                </XMWrap>
              </XMDual>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S5.p4">
      <equation xml:id="S5.Ex41">
        <Math mode="display" tex="\begin{rcases}E=mc^{2}&amp;5^{6}\quad\text{and so on}\\&#10;\int x-3\,dx&amp;\int x\,dx\end{rcases}=b" text="cases@(E = m * c ^ 2, list@(5 ^ 6, [and so on]), integral@(x) - 3 * d * x, integral@(x * differential-d@(x))) = b" xml:id="S5.Ex41.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMDual>
                <XMApp>
                  <XMTok meaning="cases"/>
                  <XMRef idref="S5.Ex41.m1.1"/>
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                  <XMRef idref="S5.Ex41.m1.3"/>
                  <XMRef idref="S5.Ex41.m1.4"/>
                </XMApp>
                <XMWrap>
                  <XMArray>
                    <XMRow>
                      <XMCell align="left">
                        <XMApp xml:id="S5.Ex41.m1.1">
                          <XMTok meaning="equals" role="RELOP">=</XMTok>
                          <XMTok font="italic" role="UNKNOWN">E</XMTok>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok font="italic" role="UNKNOWN">m</XMTok>
                            <XMApp>
                              <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                              <XMTok font="italic" role="UNKNOWN">c</XMTok>
                              <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                            </XMApp>
                          </XMApp>
                        </XMApp>
                      </XMCell>
                      <XMCell align="left">
                        <XMDual xml:id="S5.Ex41.m1.2">
                          <XMApp>
                            <XMTok meaning="list"/>
                            <XMRef idref="S5.Ex41.m1.2.2"/>
                            <XMRef idref="S5.Ex41.m1.2.1"/>
                          </XMApp>
                          <XMWrap>
                            <XMApp xml:id="S5.Ex41.m1.2.2">
                              <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                              <XMTok meaning="5" role="NUMBER">5</XMTok>
                              <XMTok fontsize="70%" meaning="6" role="NUMBER">6</XMTok>
                            </XMApp>
                            <XMTok name="quad" role="PUNCT"> </XMTok>
                            <XMText xml:id="S5.Ex41.m1.2.1">and so on</XMText>
                          </XMWrap>
                        </XMDual>
                      </XMCell>
                    </XMRow>
                    <XMRow>
                      <XMCell align="left">
                        <XMApp xml:id="S5.Ex41.m1.3">
                          <XMTok meaning="minus" role="ADDOP">-</XMTok>
                          <XMApp>
                            <XMTok mathstyle="text" meaning="integral" name="int" role="INTOP">∫</XMTok>
                            <XMTok font="italic" role="UNKNOWN">x</XMTok>
                          </XMApp>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok meaning="3" role="NUMBER" rpadding="1.7pt">3</XMTok>
                            <XMTok font="italic" role="UNKNOWN">d</XMTok>
                            <XMTok font="italic" role="UNKNOWN">x</XMTok>
                          </XMApp>
                        </XMApp>
                      </XMCell>
                      <XMCell align="left">
                        <XMApp xml:id="S5.Ex41.m1.4">
                          <XMTok mathstyle="text" meaning="integral" name="int" role="INTOP">∫</XMTok>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok font="italic" role="UNKNOWN" rpadding="1.7pt">x</XMTok>
                            <XMApp>
                              <XMTok font="italic" meaning="differential-d" role="DIFFOP">d</XMTok>
                              <XMTok font="italic" role="UNKNOWN">x</XMTok>
                            </XMApp>
                          </XMApp>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                  </XMArray>
                  <XMTok role="CLOSE" stretchy="true">}</XMTok>
                </XMWrap>
              </XMDual>
              <XMTok font="italic" role="UNKNOWN">b</XMTok>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S5.p5">
      <equation xml:id="S5.Ex42">
        <Math mode="display" tex="\begin{rcases*}x^{2}&amp;for $\int x\,dx&gt;0$\\&#10;x^{3}&amp;else\end{rcases*}\Rightarrow\cdots" text="cases@(x ^ 2, [for &gt;∫⁢xdx0], x ^ 3, [else]) Rightarrow cdots" xml:id="S5.Ex42.m1">
          <XMath>
            <XMApp>
              <XMTok name="Rightarrow" role="ARROW">⇒</XMTok>
              <XMDual>
                <XMApp>
                  <XMTok meaning="cases"/>
                  <XMRef idref="S5.Ex42.m1.1"/>
                  <XMRef idref="S5.Ex42.m1.2"/>
                  <XMRef idref="S5.Ex42.m1.3"/>
                  <XMRef idref="S5.Ex42.m1.4"/>
                </XMApp>
                <XMWrap>
                  <XMArray>
                    <XMRow>
                      <XMCell align="left">
                        <XMApp xml:id="S5.Ex42.m1.1">
                          <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                          <XMTok font="italic" role="UNKNOWN">x</XMTok>
                          <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                        </XMApp>
                      </XMCell>
                      <XMCell align="left">
                        <XMText xml:id="S5.Ex42.m1.2">for <Math mode="inline" tex="\int x\,dx&gt;0" text="integral@(x * differential-d@(x)) &gt; 0" xml:id="S5.Ex42.m1.m1">
                            <XMath>
                              <XMApp>
                                <XMTok meaning="greater-than" role="RELOP">&gt;</XMTok>
                                <XMApp>
                                  <XMTok mathstyle="text" meaning="integral" name="int" role="INTOP">∫</XMTok>
                                  <XMApp>
                                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                                    <XMTok font="italic" role="UNKNOWN" rpadding="1.7pt">x</XMTok>
                                    <XMApp>
                                      <XMTok font="italic" meaning="differential-d" role="DIFFOP">d</XMTok>
                                      <XMTok font="italic" role="UNKNOWN">x</XMTok>
                                    </XMApp>
                                  </XMApp>
                                </XMApp>
                                <XMTok meaning="0" role="NUMBER">0</XMTok>
                              </XMApp>
                            </XMath>
                          </Math></XMText>
                      </XMCell>
                    </XMRow>
                    <XMRow>
                      <XMCell align="left">
                        <XMApp xml:id="S5.Ex42.m1.3">
                          <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                          <XMTok font="italic" role="UNKNOWN">x</XMTok>
                          <XMTok fontsize="70%" meaning="3" role="NUMBER">3</XMTok>
                        </XMApp>
                      </XMCell>
                      <XMCell align="left">
                        <XMText xml:id="S5.Ex42.m1.4">else</XMText>
                      </XMCell>
                    </XMRow>
                  </XMArray>
                  <XMTok role="CLOSE" stretchy="true">}</XMTok>
                </XMWrap>
              </XMDual>
              <XMTok name="cdots" role="ID">⋯</XMTok>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S5.p6">
      <equation xml:id="S5.Ex43">
        <Math mode="display" tex="\begin{drcases}E=mc^{2}&amp;5^{6}\quad\text{and so on}\\&#10;\int x-3\,dx&amp;\int x\,dx\end{drcases}=b" text="cases@(E = m * c ^ 2, list@(5 ^ 6, [and so on]), integral@(x) - 3 * d * x, integral@(x * differential-d@(x))) = b" xml:id="S5.Ex43.m1">
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            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
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                <XMApp>
                  <XMTok meaning="cases"/>
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                  <XMRef idref="S5.Ex43.m1.2"/>
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                  <XMRef idref="S5.Ex43.m1.4"/>
                </XMApp>
                <XMWrap>
                  <XMArray>
                    <XMRow>
                      <XMCell align="left">
                        <XMApp xml:id="S5.Ex43.m1.1">
                          <XMTok meaning="equals" role="RELOP">=</XMTok>
                          <XMTok font="italic" role="UNKNOWN">E</XMTok>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
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                            <XMApp>
                              <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                              <XMTok font="italic" role="UNKNOWN">c</XMTok>
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                            </XMApp>
                          </XMApp>
                        </XMApp>
                      </XMCell>
                      <XMCell align="left">
                        <XMDual xml:id="S5.Ex43.m1.2">
                          <XMApp>
                            <XMTok meaning="list"/>
                            <XMRef idref="S5.Ex43.m1.2.2"/>
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                          <XMWrap>
                            <XMApp xml:id="S5.Ex43.m1.2.2">
                              <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                              <XMTok meaning="5" role="NUMBER">5</XMTok>
                              <XMTok fontsize="70%" meaning="6" role="NUMBER">6</XMTok>
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                            <XMTok name="quad" role="PUNCT"> </XMTok>
                            <XMText xml:id="S5.Ex43.m1.2.1">and so on</XMText>
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                        </XMDual>
                      </XMCell>
                    </XMRow>
                    <XMRow>
                      <XMCell align="left">
                        <XMApp xml:id="S5.Ex43.m1.3">
                          <XMTok meaning="minus" role="ADDOP">-</XMTok>
                          <XMApp>
                            <XMTok mathstyle="display" meaning="integral" name="int" role="INTOP">∫</XMTok>
                            <XMTok font="italic" role="UNKNOWN">x</XMTok>
                          </XMApp>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok meaning="3" role="NUMBER" rpadding="1.7pt">3</XMTok>
                            <XMTok font="italic" role="UNKNOWN">d</XMTok>
                            <XMTok font="italic" role="UNKNOWN">x</XMTok>
                          </XMApp>
                        </XMApp>
                      </XMCell>
                      <XMCell align="left">
                        <XMApp xml:id="S5.Ex43.m1.4">
                          <XMTok mathstyle="display" meaning="integral" name="int" role="INTOP">∫</XMTok>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok font="italic" role="UNKNOWN" rpadding="1.7pt">x</XMTok>
                            <XMApp>
                              <XMTok font="italic" meaning="differential-d" role="DIFFOP">d</XMTok>
                              <XMTok font="italic" role="UNKNOWN">x</XMTok>
                            </XMApp>
                          </XMApp>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                  </XMArray>
                  <XMTok role="CLOSE" stretchy="true">}</XMTok>
                </XMWrap>
              </XMDual>
              <XMTok font="italic" role="UNKNOWN">b</XMTok>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S5.p7">
      <equation xml:id="S5.Ex44">
        <Math mode="display" tex="\begin{drcases*}x^{2}&amp;for $\int x\,dx&gt;0$\\&#10;\int x^{3}\,x&amp;else\end{drcases*}\Rightarrow\cdots" text="cases@(x ^ 2, [for &gt;∫⁢xdx0], integral@(x ^ 3 * x), [else]) Rightarrow cdots" xml:id="S5.Ex44.m1">
          <XMath>
            <XMApp>
              <XMTok name="Rightarrow" role="ARROW">⇒</XMTok>
              <XMDual>
                <XMApp>
                  <XMTok meaning="cases"/>
                  <XMRef idref="S5.Ex44.m1.1"/>
                  <XMRef idref="S5.Ex44.m1.2"/>
                  <XMRef idref="S5.Ex44.m1.3"/>
                  <XMRef idref="S5.Ex44.m1.4"/>
                </XMApp>
                <XMWrap>
                  <XMArray>
                    <XMRow>
                      <XMCell align="left">
                        <XMApp xml:id="S5.Ex44.m1.1">
                          <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                          <XMTok font="italic" role="UNKNOWN">x</XMTok>
                          <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                        </XMApp>
                      </XMCell>
                      <XMCell align="left">
                        <XMText xml:id="S5.Ex44.m1.2">for <Math mode="inline" tex="\int x\,dx&gt;0" text="integral@(x * differential-d@(x)) &gt; 0" xml:id="S5.Ex44.m1.m1">
                            <XMath>
                              <XMApp>
                                <XMTok meaning="greater-than" role="RELOP">&gt;</XMTok>
                                <XMApp>
                                  <XMTok mathstyle="text" meaning="integral" name="int" role="INTOP">∫</XMTok>
                                  <XMApp>
                                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                                    <XMTok font="italic" role="UNKNOWN" rpadding="1.7pt">x</XMTok>
                                    <XMApp>
                                      <XMTok font="italic" meaning="differential-d" role="DIFFOP">d</XMTok>
                                      <XMTok font="italic" role="UNKNOWN">x</XMTok>
                                    </XMApp>
                                  </XMApp>
                                </XMApp>
                                <XMTok meaning="0" role="NUMBER">0</XMTok>
                              </XMApp>
                            </XMath>
                          </Math></XMText>
                      </XMCell>
                    </XMRow>
                    <XMRow>
                      <XMCell align="left">
                        <XMApp xml:id="S5.Ex44.m1.3">
                          <XMTok mathstyle="display" meaning="integral" name="int" role="INTOP">∫</XMTok>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMApp rpadding="1.7pt">
                              <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                              <XMTok font="italic" role="UNKNOWN">x</XMTok>
                              <XMTok fontsize="70%" meaning="3" role="NUMBER">3</XMTok>
                            </XMApp>
                            <XMTok font="italic" role="UNKNOWN">x</XMTok>
                          </XMApp>
                        </XMApp>
                      </XMCell>
                      <XMCell align="left">
                        <XMText xml:id="S5.Ex44.m1.4">else</XMText>
                      </XMCell>
                    </XMRow>
                  </XMArray>
                  <XMTok role="CLOSE" stretchy="true">}</XMTok>
                </XMWrap>
              </XMDual>
              <XMTok name="cdots" role="ID">⋯</XMTok>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S5.p8">
      <equation xml:id="S5.Ex45">
        <Math mode="display" tex="\text{foo}=\begin{cases*}\pi&amp;if something\\&#10;\int\Omega^{\Xi}\,\Omega&amp;otherwise\end{cases*}" text="[foo] = cases@(pi, [if something], integral@(Omega ^ Xi * Omega), [otherwise])" xml:id="S5.Ex45.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMText>foo</XMText>
              <XMDual>
                <XMApp>
                  <XMTok meaning="cases"/>
                  <XMRef idref="S5.Ex45.m1.1"/>
                  <XMRef idref="S5.Ex45.m1.2"/>
                  <XMRef idref="S5.Ex45.m1.3"/>
                  <XMRef idref="S5.Ex45.m1.4"/>
                </XMApp>
                <XMWrap>
                  <XMTok role="OPEN" stretchy="true">{</XMTok>
                  <XMArray>
                    <XMRow>
                      <XMCell align="left">
                        <XMTok font="italic" name="pi" role="UNKNOWN" xml:id="S5.Ex45.m1.1">π</XMTok>
                      </XMCell>
                      <XMCell align="left">
                        <XMText xml:id="S5.Ex45.m1.2">if something</XMText>
                      </XMCell>
                    </XMRow>
                    <XMRow>
                      <XMCell align="left">
                        <XMApp xml:id="S5.Ex45.m1.3">
                          <XMTok mathstyle="text" meaning="integral" name="int" role="INTOP">∫</XMTok>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMApp rpadding="1.7pt">
                              <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                              <XMTok name="Omega" role="UNKNOWN">Ω</XMTok>
                              <XMTok fontsize="70%" name="Xi" role="UNKNOWN">Ξ</XMTok>
                            </XMApp>
                            <XMTok name="Omega" role="UNKNOWN">Ω</XMTok>
                          </XMApp>
                        </XMApp>
                      </XMCell>
                      <XMCell align="left">
                        <XMText xml:id="S5.Ex45.m1.4">otherwise</XMText>
                      </XMCell>
                    </XMRow>
                  </XMArray>
                </XMWrap>
              </XMDual>
            </XMApp>
          </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>Gathered</title>
    <para xml:id="S6.p1">
      <equation xml:id="S6.Ex46">
        <Math mode="display" tex="A=\begin{gathered}\displaystyle\framebox[113.811024pt]{first}\\&#10;\displaystyle\framebox[113.811024pt]{last}\end{gathered}B" text="A = [first] * [last] * B" xml:id="S6.Ex46.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMTok font="italic" role="UNKNOWN">A</XMTok>
              <XMApp>
                <XMTok meaning="times" role="MULOP">⁢</XMTok>
                <XMDual>
                  <XMApp>
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMRef idref="S6.Ex46.m1.1"/>
                    <XMRef idref="S6.Ex46.m1.2"/>
                  </XMApp>
                  <XMArray name="gathered" vattach="top">
                    <XMRow>
                      <XMCell align="center">
                        <XMText framecolor="black" framed="rectangle" width="113.8pt" xml:id="S6.Ex46.m1.1">first</XMText>
                      </XMCell>
                    </XMRow>
                    <XMRow>
                      <XMCell align="center">
                        <XMText framecolor="black" framed="rectangle" width="113.8pt" xml:id="S6.Ex46.m1.2">last</XMText>
                      </XMCell>
                    </XMRow>
                  </XMArray>
                </XMDual>
                <XMTok font="italic" role="UNKNOWN">B</XMTok>
              </XMApp>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S6.p2">
      <equation xml:id="S6.Ex47">
        <Math mode="display" tex="\begin{gathered}\displaystyle a=b+c\\&#10;\displaystyle b=c+d\\&#10;\displaystyle...\end{gathered}" text="a = b + c * b = c + d * ldots" xml:id="S6.Ex47.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="multirelation"/>
                <XMRef idref="S6.Ex47.m1.1"/>
                <XMRef idref="S6.Ex47.m1.2"/>
                <XMApp>
                  <XMRef idref="S6.Ex47.m1.4"/>
                  <XMRef idref="S6.Ex47.m1.3"/>
                  <XMApp>
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMRef idref="S6.Ex47.m1.5"/>
                    <XMRef idref="S6.Ex47.m1.6"/>
                  </XMApp>
                </XMApp>
                <XMRef idref="S6.Ex47.m1.7"/>
                <XMApp>
                  <XMRef idref="S6.Ex47.m1.9"/>
                  <XMRef idref="S6.Ex47.m1.8"/>
                  <XMApp>
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMRef idref="S6.Ex47.m1.10"/>
                    <XMRef idref="S6.Ex47.m1.11"/>
                  </XMApp>
                </XMApp>
              </XMApp>
              <XMArray name="gathered" vattach="middle">
                <XMRow>
                  <XMCell align="center">
                    <XMApp>
                      <XMTok meaning="equals" role="RELOP" xml:id="S6.Ex47.m1.2">=</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S6.Ex47.m1.1">a</XMTok>
                      <XMApp>
                        <XMTok meaning="plus" role="ADDOP" xml:id="S6.Ex47.m1.4">+</XMTok>
                        <XMTok font="italic" role="UNKNOWN" xml:id="S6.Ex47.m1.3">b</XMTok>
                        <XMTok font="italic" role="UNKNOWN" xml:id="S6.Ex47.m1.5">c</XMTok>
                      </XMApp>
                    </XMApp>
                  </XMCell>
                </XMRow>
                <XMRow>
                  <XMCell align="center">
                    <XMApp>
                      <XMTok meaning="equals" role="RELOP" xml:id="S6.Ex47.m1.7">=</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S6.Ex47.m1.6">b</XMTok>
                      <XMApp>
                        <XMTok meaning="plus" role="ADDOP" xml:id="S6.Ex47.m1.9">+</XMTok>
                        <XMTok font="italic" role="UNKNOWN" xml:id="S6.Ex47.m1.8">c</XMTok>
                        <XMTok font="italic" role="UNKNOWN" xml:id="S6.Ex47.m1.10">d</XMTok>
                      </XMApp>
                    </XMApp>
                  </XMCell>
                </XMRow>
                <XMRow>
                  <XMCell align="center">
                    <XMTok name="ldots" role="ID" xml:id="S6.Ex47.m1.11">…</XMTok>
                  </XMCell>
                </XMRow>
              </XMArray>
            </XMDual>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S6.p3">
      <equation xml:id="S6.Ex48">
        <Math mode="display" tex="\boxed{hello}" text="h * e * l * l * o" xml:id="S6.Ex48.m1">
          <XMath>
            <XMApp enclose="box">
              <XMTok meaning="times" role="MULOP">⁢</XMTok>
              <XMTok font="italic" role="UNKNOWN">h</XMTok>
              <XMTok font="italic" role="UNKNOWN">e</XMTok>
              <XMTok font="italic" role="UNKNOWN">l</XMTok>
              <XMTok font="italic" role="UNKNOWN">l</XMTok>
              <XMTok font="italic" role="UNKNOWN">o</XMTok>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S6.p4">
      <equationgroup class="ltx_eqn_align" xml:id="S12.EGx3">
        <equation xml:id="S6.Ex49">
          <MathFork>
            <Math tex="\displaystyle f(x)=\int h(x)\,dx" text="f * x = integral@(h * x * differential-d@(x))" xml:id="S6.Ex49.m3">
              <XMath>
                <XMApp>
                  <XMTok meaning="equals" role="RELOP">=</XMTok>
                  <XMApp>
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMTok font="italic" role="UNKNOWN">f</XMTok>
                    <XMDual>
                      <XMRef idref="S6.Ex49.m3.1"/>
                      <XMWrap>
                        <XMTok role="OPEN" stretchy="false">(</XMTok>
                        <XMTok font="italic" role="UNKNOWN" xml:id="S6.Ex49.m3.1">x</XMTok>
                        <XMTok role="CLOSE" stretchy="false">)</XMTok>
                      </XMWrap>
                    </XMDual>
                  </XMApp>
                  <XMApp>
                    <XMTok mathstyle="display" meaning="integral" name="int" role="INTOP">∫</XMTok>
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMTok font="italic" role="UNKNOWN">h</XMTok>
                      <XMDual>
                        <XMRef idref="S6.Ex49.m3.2"/>
                        <XMWrap>
                          <XMTok role="OPEN" stretchy="false">(</XMTok>
                          <XMTok font="italic" role="UNKNOWN" xml:id="S6.Ex49.m3.2">x</XMTok>
                          <XMTok role="CLOSE" rpadding="1.7pt" stretchy="false">)</XMTok>
                        </XMWrap>
                      </XMDual>
                      <XMApp>
                        <XMTok font="italic" meaning="differential-d" role="DIFFOP">d</XMTok>
                        <XMTok font="italic" role="UNKNOWN">x</XMTok>
                      </XMApp>
                    </XMApp>
                  </XMApp>
                </XMApp>
              </XMath>
            </Math>
            <MathBranch>
              <td align="right"><Math mode="inline" tex="\displaystyle f(x)" text="f * x" xml:id="S6.Ex49.m1">
                  <XMath>
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMTok font="italic" role="UNKNOWN">f</XMTok>
                      <XMDual>
                        <XMRef idref="S6.Ex49.m1.1"/>
                        <XMWrap>
                          <XMTok role="OPEN" stretchy="false">(</XMTok>
                          <XMTok font="italic" role="UNKNOWN" xml:id="S6.Ex49.m1.1">x</XMTok>
                          <XMTok role="CLOSE" stretchy="false">)</XMTok>
                        </XMWrap>
                      </XMDual>
                    </XMApp>
                  </XMath>
                </Math></td>
              <td align="left"><Math mode="inline" tex="\displaystyle=\int h(x)\,dx" text="absent = integral@(h * x * differential-d@(x))" xml:id="S6.Ex49.m2">
                  <XMath>
                    <XMApp>
                      <XMTok meaning="equals" role="RELOP">=</XMTok>
                      <XMTok meaning="absent"/>
                      <XMApp>
                        <XMTok mathstyle="display" meaning="integral" name="int" role="INTOP">∫</XMTok>
                        <XMApp>
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok font="italic" role="UNKNOWN">h</XMTok>
                          <XMDual>
                            <XMRef idref="S6.Ex49.m2.1"/>
                            <XMWrap>
                              <XMTok role="OPEN" stretchy="false">(</XMTok>
                              <XMTok font="italic" role="UNKNOWN" xml:id="S6.Ex49.m2.1">x</XMTok>
                              <XMTok role="CLOSE" rpadding="1.7pt" stretchy="false">)</XMTok>
                            </XMWrap>
                          </XMDual>
                          <XMApp>
                            <XMTok font="italic" meaning="differential-d" role="DIFFOP">d</XMTok>
                            <XMTok font="italic" role="UNKNOWN">x</XMTok>
                          </XMApp>
                        </XMApp>
                      </XMApp>
                    </XMApp>
                  </XMath>
                </Math></td>
            </MathBranch>
          </MathFork>
        </equation>
        <equation xml:id="S6.Ex50">
          <MathFork>
            <Math tex="\displaystyle=g(x)" text="absent = g * x" xml:id="S6.Ex50.m3">
              <XMath>
                <XMApp>
                  <XMTok meaning="equals" role="RELOP">=</XMTok>
                  <XMTok meaning="absent"/>
                  <XMApp>
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMTok font="italic" role="UNKNOWN">g</XMTok>
                    <XMDual>
                      <XMRef idref="S6.Ex50.m3.1"/>
                      <XMWrap>
                        <XMTok role="OPEN" stretchy="false">(</XMTok>
                        <XMTok font="italic" role="UNKNOWN" xml:id="S6.Ex50.m3.1">x</XMTok>
                        <XMTok role="CLOSE" stretchy="false">)</XMTok>
                      </XMWrap>
                    </XMDual>
                  </XMApp>
                </XMApp>
              </XMath>
            </Math>
            <MathBranch>
              <td align="right"/>
              <td align="left"><Math mode="inline" tex="\displaystyle=g(x)" text="absent = g * x" xml:id="S6.Ex50.m2">
                  <XMath>
                    <XMApp>
                      <XMTok meaning="equals" role="RELOP">=</XMTok>
                      <XMTok meaning="absent"/>
                      <XMApp>
                        <XMTok meaning="times" role="MULOP">⁢</XMTok>
                        <XMTok font="italic" role="UNKNOWN">g</XMTok>
                        <XMDual>
                          <XMRef idref="S6.Ex50.m2.1"/>
                          <XMWrap>
                            <XMTok role="OPEN" stretchy="false">(</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S6.Ex50.m2.1">x</XMTok>
                            <XMTok role="CLOSE" stretchy="false">)</XMTok>
                          </XMWrap>
                        </XMDual>
                      </XMApp>
                    </XMApp>
                  </XMath>
                </Math></td>
            </MathBranch>
          </MathFork>
        </equation>
      </equationgroup>
    </para>
    <para xml:id="S6.p5">
      <equationgroup class="ltx_eqn_align" xml:id="S12.EGx4">
        <equation xml:id="S6.E11">
          <tags>
            <tag>(11)</tag>
            <tag role="refnum">11</tag>
          </tags>
          <MathFork>
            <Math tex="\displaystyle a=b" text="a = b" xml:id="S6.E11.m3">
              <XMath>
                <XMApp>
                  <XMTok meaning="equals" role="RELOP">=</XMTok>
                  <XMTok font="italic" role="UNKNOWN">a</XMTok>
                  <XMTok font="italic" role="UNKNOWN">b</XMTok>
                </XMApp>
              </XMath>
            </Math>
            <MathBranch>
              <td align="right"><Math mode="inline" tex="\displaystyle a" text="a" xml:id="S6.E11.m1">
                  <XMath>
                    <XMTok font="italic" role="UNKNOWN">a</XMTok>
                  </XMath>
                </Math></td>
              <td align="left"><Math mode="inline" tex="\displaystyle=b" text="absent = b" xml:id="S6.E11.m2">
                  <XMath>
                    <XMApp>
                      <XMTok meaning="equals" role="RELOP">=</XMTok>
                      <XMTok meaning="absent"/>
                      <XMTok font="italic" role="UNKNOWN">b</XMTok>
                    </XMApp>
                  </XMath>
                </Math></td>
            </MathBranch>
          </MathFork>
        </equation>
        <p class="ltx_intertext">Some text</p>
        <equation xml:id="S6.E12">
          <tags>
            <tag>(12)</tag>
            <tag role="refnum">12</tag>
          </tags>
          <MathFork>
            <Math tex="\displaystyle c=d" text="c = d" xml:id="S6.E12.m3">
              <XMath>
                <XMApp>
                  <XMTok meaning="equals" role="RELOP">=</XMTok>
                  <XMTok font="italic" role="UNKNOWN">c</XMTok>
                  <XMTok font="italic" role="UNKNOWN">d</XMTok>
                </XMApp>
              </XMath>
            </Math>
            <MathBranch>
              <td align="right"><Math mode="inline" tex="\displaystyle c" text="c" xml:id="S6.E12.m1">
                  <XMath>
                    <XMTok font="italic" role="UNKNOWN">c</XMTok>
                  </XMath>
                </Math></td>
              <td align="left"><Math mode="inline" tex="\displaystyle=d" text="absent = d" xml:id="S6.E12.m2">
                  <XMath>
                    <XMApp>
                      <XMTok meaning="equals" role="RELOP">=</XMTok>
                      <XMTok meaning="absent"/>
                      <XMTok font="italic" role="UNKNOWN">d</XMTok>
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                  </XMath>
                </Math></td>
            </MathBranch>
          </MathFork>
        </equation>
        <p class="ltx_intertext">Some short text</p>
        <equation xml:id="S6.E13">
          <tags>
            <tag>(13)</tag>
            <tag role="refnum">13</tag>
          </tags>
          <MathFork>
            <Math tex="\displaystyle e=f" text="e = f" xml:id="S6.E13.m3">
              <XMath>
                <XMApp>
                  <XMTok meaning="equals" role="RELOP">=</XMTok>
                  <XMTok font="italic" role="UNKNOWN">e</XMTok>
                  <XMTok font="italic" role="UNKNOWN">f</XMTok>
                </XMApp>
              </XMath>
            </Math>
            <MathBranch>
              <td align="right"><Math mode="inline" tex="\displaystyle e" text="e" xml:id="S6.E13.m1">
                  <XMath>
                    <XMTok font="italic" role="UNKNOWN">e</XMTok>
                  </XMath>
                </Math></td>
              <td align="left"><Math mode="inline" tex="\displaystyle=f" text="absent = f" xml:id="S6.E13.m2">
                  <XMath>
                    <XMApp>
                      <XMTok meaning="equals" role="RELOP">=</XMTok>
                      <XMTok meaning="absent"/>
                      <XMTok font="italic" role="UNKNOWN">f</XMTok>
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                  </XMath>
                </Math></td>
            </MathBranch>
          </MathFork>
        </equation>
      </equationgroup>
    </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>Delimiters</title>
    <para xml:id="S7.p1">
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          <XMath>
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              <XMApp>
                <XMTok meaning="list"/>
                <XMRef idref="S7.Ex53.m1.4"/>
                <XMRef idref="S7.Ex53.m1.5"/>
                <XMRef idref="S7.Ex53.m1.6"/>
              </XMApp>
              <XMWrap>
                <XMDual xml:id="S7.Ex53.m1.4">
                  <XMApp>
                    <XMTok meaning="absolute-value"/>
                    <XMRef idref="S7.Ex53.m1.1"/>
                  </XMApp>
                  <XMWrap>
                    <XMTok name="lvert" role="OPEN" stretchy="false">|</XMTok>
                    <XMApp xml:id="S7.Ex53.m1.1">
                      <XMTok mathstyle="display" meaning="divide" role="FRACOP"/>
                      <XMTok font="italic" role="UNKNOWN">a</XMTok>
                      <XMTok font="italic" role="UNKNOWN">c</XMTok>
                    </XMApp>
                    <XMTok name="rvert" role="CLOSE" stretchy="false">|</XMTok>
                  </XMWrap>
                </XMDual>
                <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                <XMDual xml:id="S7.Ex53.m1.5">
                  <XMApp>
                    <XMTok meaning="absolute-value"/>
                    <XMRef idref="S7.Ex53.m1.2"/>
                  </XMApp>
                  <XMWrap>
                    <XMTok name="lvert" role="OPEN" stretchy="true">|</XMTok>
                    <XMApp xml:id="S7.Ex53.m1.2">
                      <XMTok mathstyle="display" meaning="divide" role="FRACOP"/>
                      <XMTok font="italic" role="UNKNOWN">a</XMTok>
                      <XMTok font="italic" role="UNKNOWN">c</XMTok>
                    </XMApp>
                    <XMTok name="rvert" role="CLOSE" stretchy="true">|</XMTok>
                  </XMWrap>
                </XMDual>
                <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                <XMDual xml:id="S7.Ex53.m1.6">
                  <XMApp>
                    <XMTok meaning="absolute-value"/>
                    <XMRef idref="S7.Ex53.m1.3"/>
                  </XMApp>
                  <XMWrap>
                    <XMTok fontsize="260%" name="lvert" role="OPEN" stretchy="false">|</XMTok>
                    <XMApp xml:id="S7.Ex53.m1.3">
                      <XMTok mathstyle="display" meaning="divide" role="FRACOP"/>
                      <XMTok font="italic" role="UNKNOWN">a</XMTok>
                      <XMTok font="italic" role="UNKNOWN">b</XMTok>
                    </XMApp>
                    <XMTok fontsize="260%" name="rvert" role="CLOSE" stretchy="false">|</XMTok>
                  </XMWrap>
                </XMDual>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S7.p2">
      <equation xml:id="S7.Ex54">
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          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="list"/>
                <XMRef idref="S7.Ex54.m1.5"/>
                <XMRef idref="S7.Ex54.m1.6"/>
                <XMRef idref="S7.Ex54.m1.7"/>
                <XMRef idref="S7.Ex54.m1.8"/>
              </XMApp>
              <XMWrap>
                <XMDual xml:id="S7.Ex54.m1.5">
                  <XMApp>
                    <XMTok meaning="absolute-value"/>
                    <XMRef idref="S7.Ex54.m1.1"/>
                  </XMApp>
                  <XMWrap>
                    <XMTok name="lvert" role="OPEN" stretchy="false">|</XMTok>
                    <XMApp xml:id="S7.Ex54.m1.1">
                      <XMTok mathstyle="display" meaning="divide" role="FRACOP"/>
                      <XMTok font="italic" role="UNKNOWN">a</XMTok>
                      <XMTok font="italic" role="UNKNOWN">b</XMTok>
                    </XMApp>
                    <XMTok name="rvert" role="CLOSE" stretchy="false">|</XMTok>
                  </XMWrap>
                </XMDual>
                <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                <XMDual xml:id="S7.Ex54.m1.6">
                  <XMApp>
                    <XMTok meaning="absolute-value"/>
                    <XMRef idref="S7.Ex54.m1.2"/>
                  </XMApp>
                  <XMWrap>
                    <XMTok name="lvert" role="OPEN" stretchy="true">|</XMTok>
                    <XMApp xml:id="S7.Ex54.m1.2">
                      <XMTok mathstyle="display" meaning="divide" role="FRACOP"/>
                      <XMTok font="italic" role="UNKNOWN">a</XMTok>
                      <XMTok font="italic" role="UNKNOWN">b</XMTok>
                    </XMApp>
                    <XMTok name="rvert" role="CLOSE" stretchy="true">|</XMTok>
                  </XMWrap>
                </XMDual>
                <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                <XMDual xml:id="S7.Ex54.m1.7">
                  <XMApp>
                    <XMTok meaning="absolute-value"/>
                    <XMRef idref="S7.Ex54.m1.3"/>
                  </XMApp>
                  <XMWrap>
                    <XMTok fontsize="120%" name="lvert" role="OPEN" stretchy="false">|</XMTok>
                    <XMApp xml:id="S7.Ex54.m1.3">
                      <XMTok mathstyle="display" meaning="divide" role="FRACOP"/>
                      <XMTok font="italic" role="UNKNOWN">a</XMTok>
                      <XMTok font="italic" role="UNKNOWN">b</XMTok>
                    </XMApp>
                    <XMTok fontsize="120%" name="rvert" role="CLOSE" stretchy="false">|</XMTok>
                  </XMWrap>
                </XMDual>
                <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                <XMDual xml:id="S7.Ex54.m1.8">
                  <XMApp>
                    <XMTok meaning="absolute-value"/>
                    <XMRef idref="S7.Ex54.m1.4"/>
                  </XMApp>
                  <XMWrap>
                    <XMTok fontsize="260%" name="lvert" role="OPEN" stretchy="false">|</XMTok>
                    <XMApp xml:id="S7.Ex54.m1.4">
                      <XMTok mathstyle="display" meaning="divide" role="FRACOP"/>
                      <XMTok font="italic" role="UNKNOWN">a</XMTok>
                      <XMTok font="italic" role="UNKNOWN">b</XMTok>
                    </XMApp>
                    <XMTok fontsize="260%" name="rvert" role="CLOSE" stretchy="false">|</XMTok>
                  </XMWrap>
                </XMDual>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math>
      </equation>
      <equation xml:id="S7.Ex55">
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          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="list"/>
                <XMRef idref="S7.Ex55.m1.1"/>
                <XMRef idref="S7.Ex55.m1.2"/>
              </XMApp>
              <XMWrap>
                <XMDual xml:id="S7.Ex55.m1.1">
                  <XMApp>
                    <XMTok meaning="absolute-value"/>
                    <XMRef idref="S7.Ex55.m1.1.1"/>
                  </XMApp>
                  <XMWrap>
                    <XMTok name="lvert" role="OPEN" stretchy="false">|</XMTok>
                    <XMApp xml:id="S7.Ex55.m1.1.1">
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMTok role="UNKNOWN">@</XMTok>
                      <XMTok font="italic" name="pi" role="UNKNOWN">π</XMTok>
                      <XMTok role="UNKNOWN">@</XMTok>
                    </XMApp>
                    <XMTok name="rvert" role="CLOSE" stretchy="false">|</XMTok>
                  </XMWrap>
                </XMDual>
                <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                <XMDual xml:id="S7.Ex55.m1.2">
                  <XMApp>
                    <XMTok meaning="absolute-value"/>
                    <XMRef idref="S7.Ex55.m1.2.1"/>
                  </XMApp>
                  <XMWrap>
                    <XMTok name="lvert" role="OPEN" stretchy="true">|</XMTok>
                    <XMApp xml:id="S7.Ex55.m1.2.1">
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMTok role="UNKNOWN">_</XMTok>
                      <XMTok font="italic" name="phi" role="UNKNOWN">ϕ</XMTok>
                      <XMTok role="UNKNOWN">_</XMTok>
                    </XMApp>
                    <XMTok name="rvert" role="CLOSE" stretchy="true">|</XMTok>
                  </XMWrap>
                </XMDual>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S7.p3">
      <equation xml:id="S7.Ex56">
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          <XMath>
            <XMDual>
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                    <XMTok role="PUNCT">,</XMTok>
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                      <XMTok mathstyle="display" meaning="divide" role="FRACOP"/>
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                      <XMTok meaning="2" role="NUMBER">2</XMTok>
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                    <XMTok name="rangle" role="CLOSE" stretchy="true">⟩</XMTok>
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                </XMDual>
                <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                <XMDual xml:id="S7.Ex56.m1.6">
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                      <XMApp scriptpos="mid">
                        <XMTok role="SUBSCRIPTOP" scriptpos="mid1"/>
                        <XMTok mathstyle="display" meaning="sum" role="SUMOP" scriptpos="mid">∑</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">k</XMTok>
                      </XMApp>
                      <XMApp rpadding="1.7pt">
                        <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                        <XMTok font="italic" role="UNKNOWN">f</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">k</XMTok>
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                    </XMApp>
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                </XMDual>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S7.p4">
      <equation xml:id="S7.Ex57">
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                  <XMTok font="italic" role="UNKNOWN">X</XMTok>
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                    <XMApp>
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                      <XMTok meaning="plus" role="ADDOP">+</XMTok>
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                        <XMTok role="SUPERSCRIPTOP" scriptpos="post3"/>
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          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S7.p5">
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          </XMath>
        </Math>
<Math mode="inline" tex="\left\langle 1\,\middle|\,\frac{8}{\frac{4}{1}}\,\middle|\,3\right\rangle" text="quantum-operator-product@(1, 8 / 4 / 1, 3)" xml:id="S7.p5.m2">
          <XMath>
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                <XMApp rpadding="1.7pt" xml:id="S7.p5.m2.2">
                  <XMTok mathstyle="text" meaning="divide" role="FRACOP"/>
                  <XMTok fontsize="70%" meaning="8" role="NUMBER">8</XMTok>
                  <XMApp>
                    <XMTok mathstyle="script" meaning="divide" role="FRACOP"/>
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                    <XMTok fontsize="50%" meaning="1" role="NUMBER">1</XMTok>
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                </XMApp>
                <XMTok role="OPEN" stretchy="true">|</XMTok>
                <XMTok meaning="3" role="NUMBER" xml:id="S7.p5.m2.3"> 3</XMTok>
                <XMTok name="rangle" role="CLOSE" stretchy="true">⟩</XMTok>
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            </XMDual>
          </XMath>
        </Math>
<Math mode="inline" tex="\big{\langle}1\,\big{|}\,\frac{8}{\frac{4}{1}}\,\big{|}\,3\big{\rangle}" text="quantum-operator-product@(1, 8 / 4 / 1, 3)" xml:id="S7.p5.m3">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="quantum-operator-product"/>
                <XMRef idref="S7.p5.m3.2"/>
                <XMRef idref="S7.p5.m3.3"/>
                <XMRef idref="S7.p5.m3.1"/>
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              <XMWrap>
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                <XMApp rpadding="1.7pt" xml:id="S7.p5.m3.3">
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                  <XMApp>
                    <XMTok mathstyle="script" meaning="divide" role="FRACOP"/>
                    <XMTok fontsize="50%" meaning="4" role="NUMBER">4</XMTok>
                    <XMTok fontsize="50%" meaning="1" role="NUMBER">1</XMTok>
                  </XMApp>
                </XMApp>
                <XMTok fontsize="120%" role="OPEN" stretchy="false">|</XMTok>
                <XMTok meaning="3" role="NUMBER" xml:id="S7.p5.m3.1"> 3</XMTok>
                <XMTok fontsize="120%" name="rangle" role="CLOSE" stretchy="false">⟩</XMTok>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math></p>
    </para>
    <para xml:id="S7.p6">
      <equation xml:id="S7.Ex58">
        <Math mode="display" tex="\left(\frac{\pi}{\omega}\right)\cdot\left[\int xdx\right]\ldots[\sqrt{\frac{%&#10;\sin x}{\cos z}}]\cdots\lparen\frac{\frac{foo}{bar}}{\frac{baz}{qux}}\rparen" text="((pi / omega) cdot delimited-[]@(integral@(x * differential-d@(x)))) * ldots * delimited-[]@(square-root@(sine@(x) / cosine@(z))) * cdots * ((f * o * o) / (b * a * r) / (b * a * z) / (q * u * x))" xml:id="S7.Ex58.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="times" role="MULOP">⁢</XMTok>
              <XMApp>
                <XMTok name="cdot" role="MULOP">⋅</XMTok>
                <XMDual>
                  <XMRef idref="S7.Ex58.m1.1"/>
                  <XMWrap>
                    <XMTok role="OPEN" stretchy="true">(</XMTok>
                    <XMApp xml:id="S7.Ex58.m1.1">
                      <XMTok mathstyle="display" meaning="divide" role="FRACOP"/>
                      <XMTok font="italic" name="pi" role="UNKNOWN">π</XMTok>
                      <XMTok font="italic" name="omega" role="UNKNOWN">ω</XMTok>
                    </XMApp>
                    <XMTok role="CLOSE" stretchy="true">)</XMTok>
                  </XMWrap>
                </XMDual>
                <XMDual>
                  <XMApp>
                    <XMTok meaning="delimited-[]"/>
                    <XMRef idref="S7.Ex58.m1.4"/>
                  </XMApp>
                  <XMWrap>
                    <XMTok role="OPEN" stretchy="true">[</XMTok>
                    <XMApp xml:id="S7.Ex58.m1.4">
                      <XMTok mathstyle="display" meaning="integral" name="int" role="INTOP">∫</XMTok>
                      <XMApp>
                        <XMTok meaning="times" role="MULOP">⁢</XMTok>
                        <XMTok font="italic" role="UNKNOWN">x</XMTok>
                        <XMApp>
                          <XMTok font="italic" meaning="differential-d" role="DIFFOP">d</XMTok>
                          <XMTok font="italic" role="UNKNOWN">x</XMTok>
                        </XMApp>
                      </XMApp>
                    </XMApp>
                    <XMTok role="CLOSE" stretchy="true">]</XMTok>
                  </XMWrap>
                </XMDual>
              </XMApp>
              <XMTok name="ldots" role="ID">…</XMTok>
              <XMDual>
                <XMApp>
                  <XMTok meaning="delimited-[]"/>
                  <XMRef idref="S7.Ex58.m1.2"/>
                </XMApp>
                <XMWrap>
                  <XMTok role="OPEN" stretchy="false">[</XMTok>
                  <XMApp xml:id="S7.Ex58.m1.2">
                    <XMTok meaning="square-root"/>
                    <XMApp>
                      <XMTok mathstyle="display" meaning="divide" role="FRACOP"/>
                      <XMApp>
                        <XMTok meaning="sine" role="TRIGFUNCTION">sin</XMTok>
                        <XMTok font="italic" role="UNKNOWN">x</XMTok>
                      </XMApp>
                      <XMApp>
                        <XMTok meaning="cosine" role="TRIGFUNCTION">cos</XMTok>
                        <XMTok font="italic" role="UNKNOWN">z</XMTok>
                      </XMApp>
                    </XMApp>
                  </XMApp>
                  <XMTok role="CLOSE" stretchy="false">]</XMTok>
                </XMWrap>
              </XMDual>
              <XMTok name="cdots" role="ID">⋯</XMTok>
              <XMDual>
                <XMRef idref="S7.Ex58.m1.3"/>
                <XMWrap>
                  <XMTok name="lparen" role="OPEN" stretchy="false">(</XMTok>
                  <XMApp xml:id="S7.Ex58.m1.3">
                    <XMTok mathstyle="display" meaning="divide" role="FRACOP"/>
                    <XMApp>
                      <XMTok mathstyle="text" meaning="divide" role="FRACOP"/>
                      <XMApp>
                        <XMTok meaning="times" role="MULOP">⁢</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">f</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">o</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">o</XMTok>
                      </XMApp>
                      <XMApp>
                        <XMTok meaning="times" role="MULOP">⁢</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">a</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">r</XMTok>
                      </XMApp>
                    </XMApp>
                    <XMApp>
                      <XMTok mathstyle="text" meaning="divide" role="FRACOP"/>
                      <XMApp>
                        <XMTok meaning="times" role="MULOP">⁢</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">a</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">z</XMTok>
                      </XMApp>
                      <XMApp>
                        <XMTok meaning="times" role="MULOP">⁢</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">q</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">u</XMTok>
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">x</XMTok>
                      </XMApp>
                    </XMApp>
                  </XMApp>
                  <XMTok name="rparen" role="CLOSE" stretchy="false">)</XMTok>
                </XMWrap>
              </XMDual>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
    <paragraph inlist="toc" xml:id="S7.SS0.SSS0.Px1">
      <title>Operators</title>
      <para xml:id="S7.SS0.SSS0.Px1.p1">
        <equation xml:id="S7.Ex59">
          <Math mode="display" tex="a:=b\quad a\vcentcolon=b\quad a\ordinarycolon=b" text="formulae@(a assign b, formulae@(a assign b, a assign b))" xml:id="S7.Ex59.m1">
            <XMath>
              <XMDual>
                <XMApp>
                  <XMTok meaning="formulae"/>
                  <XMRef idref="S7.Ex59.m1.1"/>
                  <XMRef idref="S7.Ex59.m1.2"/>
                </XMApp>
                <XMWrap>
                  <XMApp xml:id="S7.Ex59.m1.1">
                    <XMTok meaning="assign" role="RELOP">:=</XMTok>
                    <XMTok font="italic" role="UNKNOWN">a</XMTok>
                    <XMTok font="italic" role="UNKNOWN">b</XMTok>
                  </XMApp>
                  <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                  <XMDual xml:id="S7.Ex59.m1.2">
                    <XMApp>
                      <XMTok meaning="formulae"/>
                      <XMRef idref="S7.Ex59.m1.2.1"/>
                      <XMRef idref="S7.Ex59.m1.2.2"/>
                    </XMApp>
                    <XMWrap>
                      <XMApp xml:id="S7.Ex59.m1.2.1">
                        <XMTok meaning="assign" role="RELOP">:=</XMTok>
                        <XMTok font="italic" role="UNKNOWN">a</XMTok>
                        <XMTok font="italic" role="UNKNOWN">b</XMTok>
                      </XMApp>
                      <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                      <XMApp xml:id="S7.Ex59.m1.2.2">
                        <XMTok meaning="assign" role="RELOP">:=</XMTok>
                        <XMTok font="italic" role="UNKNOWN">a</XMTok>
                        <XMTok font="italic" role="UNKNOWN">b</XMTok>
                      </XMApp>
                    </XMWrap>
                  </XMDual>
                </XMWrap>
              </XMDual>
            </XMath>
          </Math>
        </equation>
      </para>
      <para xml:id="S7.SS0.SSS0.Px1.p2">
        <equation xml:id="S7.Ex60">
          <Math mode="display" tex="a\coloneqq b\quad c\Colonapprox d\quad e\dblcolon f" text="formulae@(a coloneqq b, formulae@(c Colonapprox d, e dblcolon f))" xml:id="S7.Ex60.m1">
            <XMath>
              <XMDual>
                <XMApp>
                  <XMTok meaning="formulae"/>
                  <XMRef idref="S7.Ex60.m1.1"/>
                  <XMRef idref="S7.Ex60.m1.2"/>
                </XMApp>
                <XMWrap>
                  <XMApp xml:id="S7.Ex60.m1.1">
                    <XMTok name="coloneqq" role="RELOP">≔</XMTok>
                    <XMTok font="italic" role="UNKNOWN">a</XMTok>
                    <XMTok font="italic" role="UNKNOWN">b</XMTok>
                  </XMApp>
                  <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                  <XMDual xml:id="S7.Ex60.m1.2">
                    <XMApp>
                      <XMTok meaning="formulae"/>
                      <XMRef idref="S7.Ex60.m1.2.1"/>
                      <XMRef idref="S7.Ex60.m1.2.2"/>
                    </XMApp>
                    <XMWrap>
                      <XMApp xml:id="S7.Ex60.m1.2.1">
                        <XMTok name="Colonapprox" role="RELOP">::≈</XMTok>
                        <XMTok font="italic" role="UNKNOWN">c</XMTok>
                        <XMTok font="italic" role="UNKNOWN">d</XMTok>
                      </XMApp>
                      <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                      <XMApp xml:id="S7.Ex60.m1.2.2">
                        <XMTok name="dblcolon" role="RELOP">::</XMTok>
                        <XMTok font="italic" role="UNKNOWN">e</XMTok>
                        <XMTok font="italic" role="UNKNOWN">f</XMTok>
                      </XMApp>
                    </XMWrap>
                  </XMDual>
                </XMWrap>
              </XMDual>
            </XMath>
          </Math>
        </equation>
      </para>
      <para xml:id="S7.SS0.SSS0.Px1.p3">
        <equation xml:id="S7.Ex61">
          <Math mode="display" tex="\bigtimes\times\nuparrow\ndownarrow\otimes\bigotimes" text="list@(*, *, nuparrow, ndownarrow, tensor-product, tensor-product)" xml:id="S7.Ex61.m1">
            <XMath>
              <XMDual>
                <XMApp>
                  <XMTok meaning="list"/>
                  <XMRef idref="S7.Ex61.m1.1"/>
                  <XMRef idref="S7.Ex61.m1.2"/>
                  <XMRef idref="S7.Ex61.m1.3"/>
                  <XMRef idref="S7.Ex61.m1.4"/>
                  <XMRef idref="S7.Ex61.m1.5"/>
                  <XMRef idref="S7.Ex61.m1.6"/>
                </XMApp>
                <XMWrap>
                  <XMTok fontsize="160%" meaning="times" name="bigtimes" role="MULOP" scriptpos="mid" xml:id="S7.Ex61.m1.1">×</XMTok>
                  <XMTok role="PUNCT">⁣</XMTok>
                  <XMTok meaning="times" role="MULOP" xml:id="S7.Ex61.m1.2">×</XMTok>
                  <XMTok role="PUNCT">⁣</XMTok>
                  <XMTok name="nuparrow" role="ARROW" xml:id="S7.Ex61.m1.3">⤉</XMTok>
                  <XMTok role="PUNCT">⁣</XMTok>
                  <XMTok name="ndownarrow" role="ARROW" xml:id="S7.Ex61.m1.4">⤈</XMTok>
                  <XMTok role="PUNCT">⁣</XMTok>
                  <XMTok meaning="tensor-product" name="otimes" role="MULOP" xml:id="S7.Ex61.m1.5">⊗</XMTok>
                  <XMTok role="PUNCT">⁣</XMTok>
                  <XMTok fontsize="160%" mathstyle="display" meaning="tensor-product" name="bigotimes" role="SUMOP" scriptpos="mid" xml:id="S7.Ex61.m1.6">⊗</XMTok>
                </XMWrap>
              </XMDual>
            </XMath>
          </Math>
        </equation>
      </para>
    </paragraph>
  </section>
  <section inlist="toc" xml:id="S8">
    <tags>
      <tag>8</tag>
      <tag role="refnum">8</tag>
      <tag role="typerefnum">§8</tag>
    </tags>
    <title><tag close=" ">8</tag>Prescripts</title>
    <para xml:id="S8.p1">
      <equation xml:id="S8.Ex62">
        <Math mode="display" tex="{}^{4}_{12}\mathbf{C}^{5+}_{2}\quad\prescript{14}{2}{\mathbf{C}}^{5+}_{2}\quad%&#10;\prescript{4}{12}{\mathbf{C}}^{5+}_{2}\quad\prescript{14}{}{\mathbf{C}}^{5+}_{%&#10;2}\quad\prescript{}{2}{\mathbf{C}}^{5+}_{2}" text="list@(^ 4 _ 12 (C ^ (limit-from@(5, +))) _ 2, ^ 14 _ 2 (C ^ (limit-from@(5, +))) _ 2, ^ 4 _ 12 (C ^ (limit-from@(5, +))) _ 2, ^ 14 (C ^ (limit-from@(5, +))) _ 2, _ 2 (C ^ (limit-from@(5, +))) _ 2)" xml:id="S8.Ex62.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="list"/>
                <XMRef idref="S8.Ex62.m1.1"/>
                <XMRef idref="S8.Ex62.m1.2"/>
                <XMRef idref="S8.Ex62.m1.3"/>
                <XMRef idref="S8.Ex62.m1.4"/>
                <XMRef idref="S8.Ex62.m1.5"/>
              </XMApp>
              <XMWrap>
                <XMApp xml:id="S8.Ex62.m1.1">
                  <XMTok role="SUPERSCRIPTOP" scriptpos="pre1"/>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="pre1"/>
                    <XMApp>
                      <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                      <XMApp>
                        <XMTok role="SUPERSCRIPTOP" scriptpos="post1"/>
                        <XMTok font="bold" role="UNKNOWN">C</XMTok>
                        <XMApp>
                          <XMTok meaning="limit-from"/>
                          <XMTok fontsize="70%" meaning="5" role="NUMBER">5</XMTok>
                          <XMTok fontsize="70%" meaning="plus" role="ADDOP">+</XMTok>
                        </XMApp>
                      </XMApp>
                      <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                    </XMApp>
                    <XMTok fontsize="70%" meaning="12" role="NUMBER">12</XMTok>
                  </XMApp>
                  <XMTok fontsize="70%" meaning="4" role="NUMBER">4</XMTok>
                </XMApp>
                <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                <XMApp xml:id="S8.Ex62.m1.2">
                  <XMTok role="SUPERSCRIPTOP" scriptpos="pre1"/>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="pre1"/>
                    <XMApp>
                      <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                      <XMApp>
                        <XMTok role="SUPERSCRIPTOP" scriptpos="post1"/>
                        <XMTok font="bold" role="UNKNOWN">C</XMTok>
                        <XMApp>
                          <XMTok meaning="limit-from"/>
                          <XMTok fontsize="70%" meaning="5" role="NUMBER">5</XMTok>
                          <XMTok fontsize="70%" meaning="plus" role="ADDOP">+</XMTok>
                        </XMApp>
                      </XMApp>
                      <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                    </XMApp>
                    <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                  </XMApp>
                  <XMTok fontsize="70%" meaning="14" role="NUMBER">14</XMTok>
                </XMApp>
                <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                <XMApp xml:id="S8.Ex62.m1.3">
                  <XMTok role="SUPERSCRIPTOP" scriptpos="pre1"/>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="pre1"/>
                    <XMApp>
                      <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                      <XMApp>
                        <XMTok role="SUPERSCRIPTOP" scriptpos="post1"/>
                        <XMTok font="bold" role="UNKNOWN">C</XMTok>
                        <XMApp>
                          <XMTok meaning="limit-from"/>
                          <XMTok fontsize="70%" meaning="5" role="NUMBER">5</XMTok>
                          <XMTok fontsize="70%" meaning="plus" role="ADDOP">+</XMTok>
                        </XMApp>
                      </XMApp>
                      <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                    </XMApp>
                    <XMTok fontsize="70%" meaning="12" role="NUMBER">12</XMTok>
                  </XMApp>
                  <XMTok fontsize="70%" meaning="4" role="NUMBER">4</XMTok>
                </XMApp>
                <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                <XMApp xml:id="S8.Ex62.m1.4">
                  <XMTok role="SUPERSCRIPTOP" scriptpos="pre1"/>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                    <XMApp>
                      <XMTok role="SUPERSCRIPTOP" scriptpos="post1"/>
                      <XMTok font="bold" role="UNKNOWN">C</XMTok>
                      <XMApp>
                        <XMTok meaning="limit-from"/>
                        <XMTok fontsize="70%" meaning="5" role="NUMBER">5</XMTok>
                        <XMTok fontsize="70%" meaning="plus" role="ADDOP">+</XMTok>
                      </XMApp>
                    </XMApp>
                    <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                  </XMApp>
                  <XMTok fontsize="70%" meaning="14" role="NUMBER">14</XMTok>
                </XMApp>
                <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                <XMApp xml:id="S8.Ex62.m1.5">
                  <XMTok role="SUBSCRIPTOP" scriptpos="pre1"/>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                    <XMApp>
                      <XMTok role="SUPERSCRIPTOP" scriptpos="post1"/>
                      <XMTok font="bold" role="UNKNOWN">C</XMTok>
                      <XMApp>
                        <XMTok meaning="limit-from"/>
                        <XMTok fontsize="70%" meaning="5" role="NUMBER">5</XMTok>
                        <XMTok fontsize="70%" meaning="plus" role="ADDOP">+</XMTok>
                      </XMApp>
                    </XMApp>
                    <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                  </XMApp>
                  <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                </XMApp>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S8.p2">
      <equation xml:id="S8.Ex63">
        <Math mode="display" tex="\prescript{A}{Z}{X}\to\prescript{A-4}{Z-2}{Y}+\prescript{4}{2}{\alpha}" text="^ A _ Z X to ^ A - 4 _ Z - 2 Y + ^ 4 _ 2 alpha" xml:id="S8.Ex63.m1">
          <XMath>
            <XMApp>
              <XMTok name="to" role="ARROW">→</XMTok>
              <XMApp>
                <XMTok role="SUPERSCRIPTOP" scriptpos="pre1"/>
                <XMApp>
                  <XMTok role="SUBSCRIPTOP" scriptpos="pre1"/>
                  <XMTok role="UNKNOWN">X</XMTok>
                  <XMTok font="bold" fontsize="70%" role="UNKNOWN">Z</XMTok>
                </XMApp>
                <XMTok font="italic" fontsize="70%" role="UNKNOWN">A</XMTok>
              </XMApp>
              <XMApp>
                <XMTok meaning="plus" role="ADDOP">+</XMTok>
                <XMApp>
                  <XMTok role="SUPERSCRIPTOP" scriptpos="pre1"/>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="pre1"/>
                    <XMTok role="UNKNOWN">Y</XMTok>
                    <XMApp>
                      <XMTok fontsize="70%" meaning="minus" role="ADDOP">-</XMTok>
                      <XMTok font="bold" fontsize="70%" role="UNKNOWN">Z</XMTok>
                      <XMTok font="bold" fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                    </XMApp>
                  </XMApp>
                  <XMApp>
                    <XMTok fontsize="70%" meaning="minus" role="ADDOP">-</XMTok>
                    <XMTok font="italic" fontsize="70%" role="UNKNOWN">A</XMTok>
                    <XMTok font="italic" fontsize="70%" meaning="4" role="NUMBER">4</XMTok>
                  </XMApp>
                </XMApp>
                <XMApp>
                  <XMTok role="SUPERSCRIPTOP" scriptpos="pre1"/>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="pre1"/>
                    <XMTok font="italic" name="alpha" role="UNKNOWN">α</XMTok>
                    <XMTok font="bold" fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                  </XMApp>
                  <XMTok font="italic" fontsize="70%" meaning="4" role="NUMBER">4</XMTok>
                </XMApp>
              </XMApp>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S8.p3">
      <equation xml:id="S8.Ex64">
        <Math mode="display" tex="a=\frac{\begin{multlined}\displaystyle xy+xy+\int xy\,\text{dx}+xy+xy\\&#10;\displaystyle+xy+xy+xy+xy\end{multlined}\displaystyle xy+xy+\int xy\,\text{dx}%&#10;+xy+xy\\&#10;\displaystyle+xy+xy+xy+xy}{z}=\frac{\displaystyle\begin{multlined}%&#10;\displaystyle xy+xy+\int xy\,\text{dx}+xy+xy\\&#10;\displaystyle+xy+xy+xy+xy\end{multlined}\displaystyle xy+xy+\int xy\,\text{dx}%&#10;+xy+xy\\&#10;\displaystyle+xy+xy+xy+xy}{z}" text="a = (x * y + x * y + integral@(x * y * [dx]) + x * y + x * y + x * y + x * y + x * y + x * y) / z = (x * y + x * y + integral@(x * y * [dx]) + x * y + x * y + x * y + x * y + x * y + x * y) / z" xml:id="S8.Ex64.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="multirelation"/>
              <XMTok font="italic" role="UNKNOWN">a</XMTok>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMApp>
                <XMTok mathstyle="display" meaning="divide" role="FRACOP"/>
                <XMDual>
                  <XMApp>
                    <XMRef idref="S8.Ex64.m1.3"/>
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMRef idref="S8.Ex64.m1.1"/>
                      <XMRef idref="S8.Ex64.m1.2"/>
                    </XMApp>
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMRef idref="S8.Ex64.m1.4"/>
                      <XMRef idref="S8.Ex64.m1.5"/>
                    </XMApp>
                    <XMApp>
                      <XMRef idref="S8.Ex64.m1.7"/>
                      <XMApp>
                        <XMTok meaning="times" role="MULOP">⁢</XMTok>
                        <XMRef idref="S8.Ex64.m1.8"/>
                        <XMRef idref="S8.Ex64.m1.9" rpadding="1.7pt"/>
                        <XMRef idref="S8.Ex64.m1.10"/>
                      </XMApp>
                    </XMApp>
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMRef idref="S8.Ex64.m1.12"/>
                      <XMRef idref="S8.Ex64.m1.13"/>
                    </XMApp>
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMRef idref="S8.Ex64.m1.15"/>
                      <XMRef idref="S8.Ex64.m1.16"/>
                    </XMApp>
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMRef idref="S8.Ex64.m1.18"/>
                      <XMRef idref="S8.Ex64.m1.19"/>
                    </XMApp>
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMRef idref="S8.Ex64.m1.21"/>
                      <XMRef idref="S8.Ex64.m1.22"/>
                    </XMApp>
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMRef idref="S8.Ex64.m1.24"/>
                      <XMRef idref="S8.Ex64.m1.25"/>
                    </XMApp>
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMRef idref="S8.Ex64.m1.27"/>
                      <XMRef idref="S8.Ex64.m1.28"/>
                    </XMApp>
                  </XMApp>
                  <XMArray name="splitfrac">
                    <XMRow>
                      <XMCell align="left">
                        <XMApp>
                          <XMTok meaning="plus" role="ADDOP" xml:id="S8.Ex64.m1.3">+</XMTok>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.1">x</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.2">y</XMTok>
                          </XMApp>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.4">x</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.5">y</XMTok>
                          </XMApp>
                          <XMApp>
                            <XMTok mathstyle="display" meaning="integral" name="int" role="INTOP" xml:id="S8.Ex64.m1.7">∫</XMTok>
                            <XMApp>
                              <XMTok meaning="times" role="MULOP">⁢</XMTok>
                              <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.8">x</XMTok>
                              <XMTok font="italic" role="UNKNOWN" rpadding="1.7pt" xml:id="S8.Ex64.m1.9">y</XMTok>
                              <XMText xml:id="S8.Ex64.m1.10">dx</XMText>
                            </XMApp>
                          </XMApp>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.12">x</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.13">y</XMTok>
                          </XMApp>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.15">x</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.16">y</XMTok>
                          </XMApp>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                    <XMRow>
                      <XMCell align="right">
                        <XMApp>
                          <XMTok meaning="plus" role="ADDOP" xml:id="S8.Ex64.m1.20">+</XMTok>
                          <XMApp>
                            <XMTok meaning="plus" role="ADDOP" xml:id="S8.Ex64.m1.17">+</XMTok>
                            <XMApp>
                              <XMTok meaning="times" role="MULOP">⁢</XMTok>
                              <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.18">x</XMTok>
                              <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.19">y</XMTok>
                            </XMApp>
                          </XMApp>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.21">x</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.22">y</XMTok>
                          </XMApp>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.24">x</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.25">y</XMTok>
                          </XMApp>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.27">x</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.28">y</XMTok>
                          </XMApp>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                  </XMArray>
                </XMDual>
                <XMTok font="italic" role="UNKNOWN">z</XMTok>
              </XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMApp>
                <XMTok mathstyle="display" meaning="divide" role="FRACOP"/>
                <XMDual>
                  <XMApp>
                    <XMRef idref="S8.Ex64.m1.31"/>
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMRef idref="S8.Ex64.m1.29"/>
                      <XMRef idref="S8.Ex64.m1.30"/>
                    </XMApp>
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMRef idref="S8.Ex64.m1.32"/>
                      <XMRef idref="S8.Ex64.m1.33"/>
                    </XMApp>
                    <XMApp>
                      <XMRef idref="S8.Ex64.m1.35"/>
                      <XMApp>
                        <XMTok meaning="times" role="MULOP">⁢</XMTok>
                        <XMRef idref="S8.Ex64.m1.36"/>
                        <XMRef idref="S8.Ex64.m1.37" rpadding="1.7pt"/>
                        <XMRef idref="S8.Ex64.m1.38"/>
                      </XMApp>
                    </XMApp>
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMRef idref="S8.Ex64.m1.40"/>
                      <XMRef idref="S8.Ex64.m1.41"/>
                    </XMApp>
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMRef idref="S8.Ex64.m1.43"/>
                      <XMRef idref="S8.Ex64.m1.44"/>
                    </XMApp>
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMRef idref="S8.Ex64.m1.46"/>
                      <XMRef idref="S8.Ex64.m1.47"/>
                    </XMApp>
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMRef idref="S8.Ex64.m1.49"/>
                      <XMRef idref="S8.Ex64.m1.50"/>
                    </XMApp>
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMRef idref="S8.Ex64.m1.52"/>
                      <XMRef idref="S8.Ex64.m1.53"/>
                    </XMApp>
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMRef idref="S8.Ex64.m1.55"/>
                      <XMRef idref="S8.Ex64.m1.56"/>
                    </XMApp>
                  </XMApp>
                  <XMArray name="splitdfrac">
                    <XMRow>
                      <XMCell align="left">
                        <XMApp>
                          <XMTok meaning="plus" role="ADDOP" xml:id="S8.Ex64.m1.31">+</XMTok>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.29">x</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.30">y</XMTok>
                          </XMApp>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.32">x</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.33">y</XMTok>
                          </XMApp>
                          <XMApp>
                            <XMTok mathstyle="display" meaning="integral" name="int" role="INTOP" xml:id="S8.Ex64.m1.35">∫</XMTok>
                            <XMApp>
                              <XMTok meaning="times" role="MULOP">⁢</XMTok>
                              <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.36">x</XMTok>
                              <XMTok font="italic" role="UNKNOWN" rpadding="1.7pt" xml:id="S8.Ex64.m1.37">y</XMTok>
                              <XMText xml:id="S8.Ex64.m1.38">dx</XMText>
                            </XMApp>
                          </XMApp>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.40">x</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.41">y</XMTok>
                          </XMApp>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.43">x</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.44">y</XMTok>
                          </XMApp>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                    <XMRow>
                      <XMCell align="right">
                        <XMApp>
                          <XMTok meaning="plus" role="ADDOP" xml:id="S8.Ex64.m1.48">+</XMTok>
                          <XMApp>
                            <XMTok meaning="plus" role="ADDOP" xml:id="S8.Ex64.m1.45">+</XMTok>
                            <XMApp>
                              <XMTok meaning="times" role="MULOP">⁢</XMTok>
                              <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.46">x</XMTok>
                              <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.47">y</XMTok>
                            </XMApp>
                          </XMApp>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.49">x</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.50">y</XMTok>
                          </XMApp>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.52">x</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.53">y</XMTok>
                          </XMApp>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.55">x</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S8.Ex64.m1.56">y</XMTok>
                          </XMApp>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                  </XMArray>
                </XMDual>
                <XMTok font="italic" role="UNKNOWN">z</XMTok>
              </XMApp>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
  </section>
  <section inlist="toc" xml:id="S9">
    <tags>
      <tag>9</tag>
      <tag role="refnum">9</tag>
      <tag role="typerefnum">§9</tag>
    </tags>
    <title><tag close=" ">9</tag>Multlines</title>
    <para xml:id="S9.p1">
      <equation>
        <Math mode="display" tex="\displaystyle p(x)=3x^{6}+14x^{5}y+590x^{4}y^{2}+19x^{3}y^{3}\\&#10;\displaystyle-12x^{2}y^{4}-12xy^{5}+2y^{6}-a^{3}b^{3}" text="p * x = (((3 * x ^ 6 + 14 * x ^ 5 * y + 590 * x ^ 4 * y ^ 2 + 19 * x ^ 3 * y ^ 3) - 12 * x ^ 2 * y ^ 4 - 12 * x * y ^ 5) + 2 * y ^ 6) - a ^ 3 * b ^ 3" xml:id="S9.p1.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMRef idref="S9.p1.m1.5"/>
                <XMApp>
                  <XMTok meaning="times" role="MULOP">⁢</XMTok>
                  <XMRef idref="S9.p1.m1.1"/>
                  <XMRef idref="S9.p1.m1.3"/>
                </XMApp>
                <XMApp>
                  <XMRef idref="S9.p1.m1.41"/>
                  <XMApp>
                    <XMRef idref="S9.p1.m1.37"/>
                    <XMApp>
                      <XMRef idref="S9.p1.m1.26"/>
                      <XMApp>
                        <XMRef idref="S9.p1.m1.9"/>
                        <XMApp>
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMRef idref="S9.p1.m1.6"/>
                          <XMApp>
                            <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                            <XMRef idref="S9.p1.m1.7"/>
                            <XMRef idref="S9.p1.m1.8.1"/>
                          </XMApp>
                        </XMApp>
                        <XMApp>
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMRef idref="S9.p1.m1.10"/>
                          <XMApp>
                            <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                            <XMRef idref="S9.p1.m1.11"/>
                            <XMRef idref="S9.p1.m1.12.1"/>
                          </XMApp>
                          <XMRef idref="S9.p1.m1.13"/>
                        </XMApp>
                        <XMApp>
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMRef idref="S9.p1.m1.15"/>
                          <XMApp>
                            <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                            <XMRef idref="S9.p1.m1.16"/>
                            <XMRef idref="S9.p1.m1.17.1"/>
                          </XMApp>
                          <XMApp>
                            <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                            <XMRef idref="S9.p1.m1.18"/>
                            <XMRef idref="S9.p1.m1.19.1"/>
                          </XMApp>
                        </XMApp>
                        <XMApp>
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMRef idref="S9.p1.m1.21"/>
                          <XMApp>
                            <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                            <XMRef idref="S9.p1.m1.22"/>
                            <XMRef idref="S9.p1.m1.23.1"/>
                          </XMApp>
                          <XMApp>
                            <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                            <XMRef idref="S9.p1.m1.24"/>
                            <XMRef idref="S9.p1.m1.25.1"/>
                          </XMApp>
                        </XMApp>
                      </XMApp>
                      <XMApp>
                        <XMTok meaning="times" role="MULOP">⁢</XMTok>
                        <XMRef idref="S9.p1.m1.27"/>
                        <XMApp>
                          <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                          <XMRef idref="S9.p1.m1.28"/>
                          <XMRef idref="S9.p1.m1.29.1"/>
                        </XMApp>
                        <XMApp>
                          <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                          <XMRef idref="S9.p1.m1.30"/>
                          <XMRef idref="S9.p1.m1.31.1"/>
                        </XMApp>
                      </XMApp>
                      <XMApp>
                        <XMTok meaning="times" role="MULOP">⁢</XMTok>
                        <XMRef idref="S9.p1.m1.33"/>
                        <XMRef idref="S9.p1.m1.34"/>
                        <XMApp>
                          <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                          <XMRef idref="S9.p1.m1.35"/>
                          <XMRef idref="S9.p1.m1.36.1"/>
                        </XMApp>
                      </XMApp>
                    </XMApp>
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMRef idref="S9.p1.m1.38"/>
                      <XMApp>
                        <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                        <XMRef idref="S9.p1.m1.39"/>
                        <XMRef idref="S9.p1.m1.40.1"/>
                      </XMApp>
                    </XMApp>
                  </XMApp>
                  <XMApp>
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMApp>
                      <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                      <XMRef idref="S9.p1.m1.42"/>
                      <XMRef idref="S9.p1.m1.43.1"/>
                    </XMApp>
                    <XMApp>
                      <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                      <XMRef idref="S9.p1.m1.44"/>
                      <XMRef idref="S9.p1.m1.45.1"/>
                    </XMApp>
                  </XMApp>
                </XMApp>
              </XMApp>
              <XMArray name="multline">
                <XMRow>
                  <XMCell align="left">
                    <XMApp>
                      <XMTok meaning="equals" role="RELOP" xml:id="S9.p1.m1.5">=</XMTok>
                      <XMApp>
                        <XMTok meaning="times" role="MULOP">⁢</XMTok>
                        <XMTok font="italic" role="UNKNOWN" xml:id="S9.p1.m1.1">p</XMTok>
                        <XMWrap>
                          <XMTok role="OPEN" stretchy="false" xml:id="S9.p1.m1.2">(</XMTok>
                          <XMTok font="italic" role="UNKNOWN" xml:id="S9.p1.m1.3">x</XMTok>
                          <XMTok role="CLOSE" stretchy="false" xml:id="S9.p1.m1.4">)</XMTok>
                        </XMWrap>
                      </XMApp>
                      <XMApp>
                        <XMTok meaning="plus" role="ADDOP" xml:id="S9.p1.m1.9">+</XMTok>
                        <XMApp>
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok meaning="3" role="NUMBER" xml:id="S9.p1.m1.6">3</XMTok>
                          <XMApp>
                            <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S9.p1.m1.7">x</XMTok>
                            <XMTok fontsize="70%" meaning="6" role="NUMBER" xml:id="S9.p1.m1.8.1">6</XMTok>
                          </XMApp>
                        </XMApp>
                        <XMApp>
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok meaning="14" role="NUMBER" xml:id="S9.p1.m1.10">14</XMTok>
                          <XMApp>
                            <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S9.p1.m1.11">x</XMTok>
                            <XMTok fontsize="70%" meaning="5" role="NUMBER" xml:id="S9.p1.m1.12.1">5</XMTok>
                          </XMApp>
                          <XMTok font="italic" role="UNKNOWN" xml:id="S9.p1.m1.13">y</XMTok>
                        </XMApp>
                        <XMApp>
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok meaning="590" role="NUMBER" xml:id="S9.p1.m1.15">590</XMTok>
                          <XMApp>
                            <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S9.p1.m1.16">x</XMTok>
                            <XMTok fontsize="70%" meaning="4" role="NUMBER" xml:id="S9.p1.m1.17.1">4</XMTok>
                          </XMApp>
                          <XMApp>
                            <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S9.p1.m1.18">y</XMTok>
                            <XMTok fontsize="70%" meaning="2" role="NUMBER" xml:id="S9.p1.m1.19.1">2</XMTok>
                          </XMApp>
                        </XMApp>
                        <XMApp>
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok meaning="19" role="NUMBER" xml:id="S9.p1.m1.21">19</XMTok>
                          <XMApp>
                            <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S9.p1.m1.22">x</XMTok>
                            <XMTok fontsize="70%" meaning="3" role="NUMBER" xml:id="S9.p1.m1.23.1">3</XMTok>
                          </XMApp>
                          <XMApp>
                            <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S9.p1.m1.24">y</XMTok>
                            <XMTok fontsize="70%" meaning="3" role="NUMBER" xml:id="S9.p1.m1.25.1">3</XMTok>
                          </XMApp>
                        </XMApp>
                      </XMApp>
                    </XMApp>
                  </XMCell>
                </XMRow>
                <XMRow>
                  <XMCell align="right">
                    <XMApp>
                      <XMTok meaning="minus" role="ADDOP" xml:id="S9.p1.m1.41">-</XMTok>
                      <XMApp>
                        <XMTok meaning="plus" role="ADDOP" xml:id="S9.p1.m1.37">+</XMTok>
                        <XMApp>
                          <XMTok meaning="minus" role="ADDOP" xml:id="S9.p1.m1.32">-</XMTok>
                          <XMApp>
                            <XMTok meaning="minus" role="ADDOP" xml:id="S9.p1.m1.26">-</XMTok>
                            <XMApp>
                              <XMTok meaning="times" role="MULOP">⁢</XMTok>
                              <XMTok meaning="12" role="NUMBER" xml:id="S9.p1.m1.27">12</XMTok>
                              <XMApp>
                                <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                                <XMTok font="italic" role="UNKNOWN" xml:id="S9.p1.m1.28">x</XMTok>
                                <XMTok fontsize="70%" meaning="2" role="NUMBER" xml:id="S9.p1.m1.29.1">2</XMTok>
                              </XMApp>
                              <XMApp>
                                <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                                <XMTok font="italic" role="UNKNOWN" xml:id="S9.p1.m1.30">y</XMTok>
                                <XMTok fontsize="70%" meaning="4" role="NUMBER" xml:id="S9.p1.m1.31.1">4</XMTok>
                              </XMApp>
                            </XMApp>
                          </XMApp>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok meaning="12" role="NUMBER" xml:id="S9.p1.m1.33">12</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S9.p1.m1.34">x</XMTok>
                            <XMApp>
                              <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
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                              <XMTok fontsize="70%" meaning="5" role="NUMBER" xml:id="S9.p1.m1.36.1">5</XMTok>
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                        </XMApp>
                        <XMApp>
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok meaning="2" role="NUMBER" xml:id="S9.p1.m1.38">2</XMTok>
                          <XMApp>
                            <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
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                            <XMTok fontsize="70%" meaning="6" role="NUMBER" xml:id="S9.p1.m1.40.1">6</XMTok>
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                        </XMApp>
                      </XMApp>
                      <XMApp>
                        <XMTok meaning="times" role="MULOP">⁢</XMTok>
                        <XMApp>
                          <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
                          <XMTok font="italic" role="UNKNOWN" xml:id="S9.p1.m1.42">a</XMTok>
                          <XMTok fontsize="70%" meaning="3" role="NUMBER" xml:id="S9.p1.m1.43.1">3</XMTok>
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                        <XMApp>
                          <XMTok role="SUPERSCRIPTOP" scriptpos="post6"/>
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                          <XMTok fontsize="70%" meaning="3" role="NUMBER" xml:id="S9.p1.m1.45.1">3</XMTok>
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    <para xml:id="S9.p2">
      <equation xml:id="S9.Ex65">
        <Math mode="display" tex="A=\begin{multlined}\displaystyle\boxed{first}\\&#10;\displaystyle\boxed{last}\end{multlined}\displaystyle\boxed{first}\\&#10;\displaystyle\boxed{last}B" text="A = f * i * r * s * t * l * a * s * t * B" xml:id="S9.Ex65.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMTok font="italic" role="UNKNOWN">A</XMTok>
              <XMApp>
                <XMTok meaning="times" role="MULOP">⁢</XMTok>
                <XMDual>
                  <XMApp>
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMRef idref="S9.Ex65.m1.1"/>
                    <XMRef idref="S9.Ex65.m1.2"/>
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                  <XMArray name="multlined" vattach="top">
                    <XMRow>
                      <XMCell align="left">
                        <XMApp enclose="box" xml:id="S9.Ex65.m1.1">
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok font="italic" role="UNKNOWN">f</XMTok>
                          <XMTok font="italic" role="UNKNOWN">i</XMTok>
                          <XMTok font="italic" role="UNKNOWN">r</XMTok>
                          <XMTok font="italic" role="UNKNOWN">s</XMTok>
                          <XMTok font="italic" role="UNKNOWN">t</XMTok>
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                    <XMRow>
                      <XMCell align="right">
                        <XMApp enclose="box" xml:id="S9.Ex65.m1.2">
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok font="italic" role="UNKNOWN">l</XMTok>
                          <XMTok font="italic" role="UNKNOWN">a</XMTok>
                          <XMTok font="italic" role="UNKNOWN">s</XMTok>
                          <XMTok font="italic" role="UNKNOWN">t</XMTok>
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                      </XMCell>
                    </XMRow>
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                </XMDual>
                <XMTok font="italic" role="UNKNOWN">B</XMTok>
              </XMApp>
            </XMApp>
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      <equation xml:id="S9.Ex66">
        <Math mode="display" tex="A=\begin{multlined}\displaystyle\boxed{first}\\&#10;\displaystyle\boxed{last}\end{multlined}\displaystyle\boxed{first}\\&#10;\displaystyle\boxed{last}B" text="A = f * i * r * s * t * l * a * s * t * B" xml:id="S9.Ex66.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMTok font="italic" role="UNKNOWN">A</XMTok>
              <XMApp>
                <XMTok meaning="times" role="MULOP">⁢</XMTok>
                <XMDual>
                  <XMApp>
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMRef idref="S9.Ex66.m1.1"/>
                    <XMRef idref="S9.Ex66.m1.2"/>
                  </XMApp>
                  <XMArray name="multlined">
                    <XMRow>
                      <XMCell align="left">
                        <XMApp enclose="box" xml:id="S9.Ex66.m1.1">
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok font="italic" role="UNKNOWN">f</XMTok>
                          <XMTok font="italic" role="UNKNOWN">i</XMTok>
                          <XMTok font="italic" role="UNKNOWN">r</XMTok>
                          <XMTok font="italic" role="UNKNOWN">s</XMTok>
                          <XMTok font="italic" role="UNKNOWN">t</XMTok>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                    <XMRow>
                      <XMCell align="right">
                        <XMApp enclose="box" xml:id="S9.Ex66.m1.2">
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok font="italic" role="UNKNOWN">l</XMTok>
                          <XMTok font="italic" role="UNKNOWN">a</XMTok>
                          <XMTok font="italic" role="UNKNOWN">s</XMTok>
                          <XMTok font="italic" role="UNKNOWN">t</XMTok>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                  </XMArray>
                </XMDual>
                <XMTok font="italic" role="UNKNOWN">B</XMTok>
              </XMApp>
            </XMApp>
          </XMath>
        </Math>
      </equation>
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    <para xml:id="S9.p4">
      <equation xml:id="S9.Ex67">
        <Math mode="display" tex="A=\begin{multlined}\displaystyle\boxed{first}\\&#10;\displaystyle\boxed{last}\end{multlined}\displaystyle\boxed{first}\\&#10;\displaystyle\boxed{last}B" text="A = f * i * r * s * t * l * a * s * t * B" xml:id="S9.Ex67.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMTok font="italic" role="UNKNOWN">A</XMTok>
              <XMApp>
                <XMTok meaning="times" role="MULOP">⁢</XMTok>
                <XMDual>
                  <XMApp>
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMRef idref="S9.Ex67.m1.1"/>
                    <XMRef idref="S9.Ex67.m1.2"/>
                  </XMApp>
                  <XMArray name="multlined" vattach="bottom">
                    <XMRow>
                      <XMCell align="left">
                        <XMApp enclose="box" xml:id="S9.Ex67.m1.1">
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok font="italic" role="UNKNOWN">f</XMTok>
                          <XMTok font="italic" role="UNKNOWN">i</XMTok>
                          <XMTok font="italic" role="UNKNOWN">r</XMTok>
                          <XMTok font="italic" role="UNKNOWN">s</XMTok>
                          <XMTok font="italic" role="UNKNOWN">t</XMTok>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                    <XMRow>
                      <XMCell align="right">
                        <XMApp enclose="box" xml:id="S9.Ex67.m1.2">
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok font="italic" role="UNKNOWN">l</XMTok>
                          <XMTok font="italic" role="UNKNOWN">a</XMTok>
                          <XMTok font="italic" role="UNKNOWN">s</XMTok>
                          <XMTok font="italic" role="UNKNOWN">t</XMTok>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                  </XMArray>
                </XMDual>
                <XMTok font="italic" role="UNKNOWN">B</XMTok>
              </XMApp>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S9.p5">
      <equation xml:id="S9.Ex68">
        <Math mode="display" tex="A=\begin{multlined}\displaystyle\boxed{first}\\&#10;\displaystyle\boxed{last}\end{multlined}\displaystyle\boxed{first}\\&#10;\displaystyle\boxed{last}B" text="A = f * i * r * s * t * l * a * s * t * B" xml:id="S9.Ex68.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMTok font="italic" role="UNKNOWN">A</XMTok>
              <XMApp>
                <XMTok meaning="times" role="MULOP">⁢</XMTok>
                <XMDual>
                  <XMApp>
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMRef idref="S9.Ex68.m1.1"/>
                    <XMRef idref="S9.Ex68.m1.2"/>
                  </XMApp>
                  <XMArray name="multlined" vattach="middle" width="28.5pt">
                    <XMRow>
                      <XMCell align="left">
                        <XMApp enclose="box" xml:id="S9.Ex68.m1.1">
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok font="italic" role="UNKNOWN">f</XMTok>
                          <XMTok font="italic" role="UNKNOWN">i</XMTok>
                          <XMTok font="italic" role="UNKNOWN">r</XMTok>
                          <XMTok font="italic" role="UNKNOWN">s</XMTok>
                          <XMTok font="italic" role="UNKNOWN">t</XMTok>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                    <XMRow>
                      <XMCell align="right">
                        <XMApp enclose="box" xml:id="S9.Ex68.m1.2">
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok font="italic" role="UNKNOWN">l</XMTok>
                          <XMTok font="italic" role="UNKNOWN">a</XMTok>
                          <XMTok font="italic" role="UNKNOWN">s</XMTok>
                          <XMTok font="italic" role="UNKNOWN">t</XMTok>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                  </XMArray>
                </XMDual>
                <XMTok font="italic" role="UNKNOWN">B</XMTok>
              </XMApp>
            </XMApp>
          </XMath>
        </Math>
      </equation>
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    <para xml:id="S9.p6">
      <equation xml:id="S9.Ex69">
        <Math mode="display" tex="A=\begin{multlined}\displaystyle\boxed{first}\\&#10;\displaystyle\boxed{last}\end{multlined}\displaystyle\boxed{first}\\&#10;\displaystyle\boxed{last}B" text="A = f * i * r * s * t * l * a * s * t * B" xml:id="S9.Ex69.m1">
          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMTok font="italic" role="UNKNOWN">A</XMTok>
              <XMApp>
                <XMTok meaning="times" role="MULOP">⁢</XMTok>
                <XMDual>
                  <XMApp>
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMRef idref="S9.Ex69.m1.1"/>
                    <XMRef idref="S9.Ex69.m1.2"/>
                  </XMApp>
                  <XMArray name="multlined" vattach="middle" width="216.8pt">
                    <XMRow>
                      <XMCell align="left">
                        <XMApp enclose="box" xml:id="S9.Ex69.m1.1">
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok font="italic" role="UNKNOWN">f</XMTok>
                          <XMTok font="italic" role="UNKNOWN">i</XMTok>
                          <XMTok font="italic" role="UNKNOWN">r</XMTok>
                          <XMTok font="italic" role="UNKNOWN">s</XMTok>
                          <XMTok font="italic" role="UNKNOWN">t</XMTok>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                    <XMRow>
                      <XMCell align="right">
                        <XMApp enclose="box" xml:id="S9.Ex69.m1.2">
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok font="italic" role="UNKNOWN">l</XMTok>
                          <XMTok font="italic" role="UNKNOWN">a</XMTok>
                          <XMTok font="italic" role="UNKNOWN">s</XMTok>
                          <XMTok font="italic" role="UNKNOWN">t</XMTok>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                  </XMArray>
                </XMDual>
                <XMTok font="italic" role="UNKNOWN">B</XMTok>
              </XMApp>
            </XMApp>
          </XMath>
        </Math>
      </equation>
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    <para xml:id="S9.p7">
      <equation xml:id="S9.Ex70">
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          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMTok font="italic" role="UNKNOWN">A</XMTok>
              <XMApp>
                <XMTok meaning="times" role="MULOP">⁢</XMTok>
                <XMDual>
                  <XMApp>
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMRef idref="S9.Ex70.m1.1"/>
                    <XMRef idref="S9.Ex70.m1.2"/>
                  </XMApp>
                  <XMArray name="multlined" vattach="middle" width="867.2pt">
                    <XMRow>
                      <XMCell align="left">
                        <XMApp enclose="box" xml:id="S9.Ex70.m1.1">
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok font="italic" role="UNKNOWN">f</XMTok>
                          <XMTok font="italic" role="UNKNOWN">i</XMTok>
                          <XMTok font="italic" role="UNKNOWN">r</XMTok>
                          <XMTok font="italic" role="UNKNOWN">s</XMTok>
                          <XMTok font="italic" role="UNKNOWN">t</XMTok>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                    <XMRow>
                      <XMCell align="right">
                        <XMApp enclose="box" xml:id="S9.Ex70.m1.2">
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok font="italic" role="UNKNOWN">l</XMTok>
                          <XMTok font="italic" role="UNKNOWN">a</XMTok>
                          <XMTok font="italic" role="UNKNOWN">s</XMTok>
                          <XMTok font="italic" role="UNKNOWN">t</XMTok>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                  </XMArray>
                </XMDual>
                <XMTok font="italic" role="UNKNOWN">B</XMTok>
              </XMApp>
            </XMApp>
          </XMath>
        </Math>
      </equation>
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    <para xml:id="S9.p8">
      <equation xml:id="S9.Ex71">
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          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMTok font="italic" role="UNKNOWN">A</XMTok>
              <XMApp>
                <XMTok meaning="times" role="MULOP">⁢</XMTok>
                <XMDual>
                  <XMApp>
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMRef idref="S9.Ex71.m1.1"/>
                    <XMRef idref="S9.Ex71.m1.2"/>
                  </XMApp>
                  <XMArray name="multlined" vattach="top" width="120.0pt">
                    <XMRow>
                      <XMCell align="left">
                        <XMApp enclose="box" xml:id="S9.Ex71.m1.1">
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok font="italic" role="UNKNOWN">f</XMTok>
                          <XMTok font="italic" role="UNKNOWN">i</XMTok>
                          <XMTok font="italic" role="UNKNOWN">r</XMTok>
                          <XMTok font="italic" role="UNKNOWN">s</XMTok>
                          <XMTok font="italic" role="UNKNOWN">t</XMTok>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                    <XMRow>
                      <XMCell align="right">
                        <XMApp enclose="box" xml:id="S9.Ex71.m1.2">
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok font="italic" role="UNKNOWN">l</XMTok>
                          <XMTok font="italic" role="UNKNOWN">a</XMTok>
                          <XMTok font="italic" role="UNKNOWN">s</XMTok>
                          <XMTok font="italic" role="UNKNOWN">t</XMTok>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                  </XMArray>
                </XMDual>
                <XMTok font="italic" role="UNKNOWN">B</XMTok>
              </XMApp>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S9.p9">
      <equation xml:id="S9.Ex72">
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          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMTok font="italic" role="UNKNOWN">A</XMTok>
              <XMApp>
                <XMTok meaning="times" role="MULOP">⁢</XMTok>
                <XMDual>
                  <XMApp>
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMRef idref="S9.Ex72.m1.1"/>
                    <XMRef idref="S9.Ex72.m1.2"/>
                  </XMApp>
                  <XMArray name="multlined" vattach="bottom" width="120.0pt">
                    <XMRow>
                      <XMCell align="left">
                        <XMApp enclose="box" xml:id="S9.Ex72.m1.1">
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok font="italic" role="UNKNOWN">f</XMTok>
                          <XMTok font="italic" role="UNKNOWN">i</XMTok>
                          <XMTok font="italic" role="UNKNOWN">r</XMTok>
                          <XMTok font="italic" role="UNKNOWN">s</XMTok>
                          <XMTok font="italic" role="UNKNOWN">t</XMTok>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                    <XMRow>
                      <XMCell align="right">
                        <XMApp enclose="box" xml:id="S9.Ex72.m1.2">
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok font="italic" role="UNKNOWN">l</XMTok>
                          <XMTok font="italic" role="UNKNOWN">a</XMTok>
                          <XMTok font="italic" role="UNKNOWN">s</XMTok>
                          <XMTok font="italic" role="UNKNOWN">t</XMTok>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                  </XMArray>
                </XMDual>
                <XMTok font="italic" role="UNKNOWN">B</XMTok>
              </XMApp>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S9.p10">
      <equation xml:id="S9.Ex73">
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          <XMath>
            <XMApp>
              <XMTok meaning="equals" role="RELOP">=</XMTok>
              <XMTok font="italic" role="UNKNOWN">A</XMTok>
              <XMApp>
                <XMTok meaning="times" role="MULOP">⁢</XMTok>
                <XMDual>
                  <XMApp>
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMRef idref="S9.Ex73.m1.1"/>
                    <XMRef idref="S9.Ex73.m1.2"/>
                  </XMApp>
                  <XMArray name="multlined" vattach="middle" width="28.5pt">
                    <XMRow>
                      <XMCell align="left">
                        <XMApp enclose="box" xml:id="S9.Ex73.m1.1">
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok font="italic" role="UNKNOWN">f</XMTok>
                          <XMTok font="italic" role="UNKNOWN">i</XMTok>
                          <XMTok font="italic" role="UNKNOWN">r</XMTok>
                          <XMTok font="italic" role="UNKNOWN">s</XMTok>
                          <XMTok font="italic" role="UNKNOWN">t</XMTok>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                    <XMRow>
                      <XMCell align="right">
                        <XMApp enclose="box" xml:id="S9.Ex73.m1.2">
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok font="italic" role="UNKNOWN">l</XMTok>
                          <XMTok font="italic" role="UNKNOWN">a</XMTok>
                          <XMTok font="italic" role="UNKNOWN">s</XMTok>
                          <XMTok font="italic" role="UNKNOWN">t</XMTok>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                  </XMArray>
                </XMDual>
                <XMTok font="italic" role="UNKNOWN">B</XMTok>
              </XMApp>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S9.p11">
      <equation xml:id="S9.E14">
        <tags>
          <tag>(14)</tag>
          <tag role="refnum">14</tag>
        </tags>
        <Math mode="display" tex="foo\Coloneqq\begin{lgathered}\displaystyle x=1,\quad x+1=2\\&#10;\displaystyle y=2\end{lgathered}\displaystyle x=1,\quad x+1=2\\&#10;\displaystyle y=2" text="f * o * o Coloneqq x@=@1@,@quad@x@+@1@=@2@y@=@2" xml:id="S9.E14.m1">
          <XMath>
            <XMApp>
              <XMTok name="Coloneqq" role="RELOP">⩴</XMTok>
              <XMApp>
                <XMTok meaning="times" role="MULOP">⁢</XMTok>
                <XMTok font="italic" role="UNKNOWN">f</XMTok>
                <XMTok font="italic" role="UNKNOWN">o</XMTok>
                <XMTok font="italic" role="UNKNOWN">o</XMTok>
              </XMApp>
              <XMDual>
                <XMWrap rule="Anything,">
                  <XMRef idref="S9.E14.m1.1"/>
                  <XMRef idref="S9.E14.m1.2"/>
                  <XMRef idref="S9.E14.m1.3"/>
                  <XMRef idref="S9.E14.m1.4"/>
                  <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                  <XMRef idref="S9.E14.m1.5"/>
                  <XMRef idref="S9.E14.m1.6"/>
                  <XMRef idref="S9.E14.m1.7"/>
                  <XMRef idref="S9.E14.m1.8"/>
                  <XMRef idref="S9.E14.m1.9"/>
                  <XMRef idref="S9.E14.m1.10"/>
                  <XMRef idref="S9.E14.m1.11"/>
                  <XMRef idref="S9.E14.m1.12"/>
                </XMWrap>
                <XMArray name="lgathered" vattach="top">
                  <XMRow>
                    <XMCell align="left">
                      <XMWrap>
                        <XMApp xml:id="S9.E14.m1.13">
                          <XMTok meaning="equals" role="RELOP" xml:id="S9.E14.m1.2">=</XMTok>
                          <XMTok font="italic" role="UNKNOWN" xml:id="S9.E14.m1.1">x</XMTok>
                          <XMTok meaning="1" role="NUMBER" xml:id="S9.E14.m1.3">1</XMTok>
                        </XMApp>
                        <XMTok role="PUNCT" rpadding="10.0pt" xml:id="S9.E14.m1.4">,</XMTok>
                        <XMApp xml:id="S9.E14.m1.14">
                          <XMTok meaning="equals" role="RELOP" xml:id="S9.E14.m1.8">=</XMTok>
                          <XMApp>
                            <XMTok meaning="plus" role="ADDOP" xml:id="S9.E14.m1.6">+</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S9.E14.m1.5">x</XMTok>
                            <XMTok meaning="1" role="NUMBER" xml:id="S9.E14.m1.7">1</XMTok>
                          </XMApp>
                          <XMTok meaning="2" role="NUMBER" xml:id="S9.E14.m1.9">2</XMTok>
                        </XMApp>
                      </XMWrap>
                    </XMCell>
                  </XMRow>
                  <XMRow>
                    <XMCell align="left">
                      <XMApp>
                        <XMTok meaning="equals" role="RELOP" xml:id="S9.E14.m1.11">=</XMTok>
                        <XMTok font="italic" role="UNKNOWN" xml:id="S9.E14.m1.10">y</XMTok>
                        <XMTok meaning="2" role="NUMBER" xml:id="S9.E14.m1.12">2</XMTok>
                      </XMApp>
                    </XMCell>
                  </XMRow>
                </XMArray>
              </XMDual>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S9.p12">
      <equation xml:id="S9.E15">
        <tags>
          <tag>(15)</tag>
          <tag role="refnum">15</tag>
        </tags>
        <Math mode="display" tex="bar\Coloneqq\begin{rgathered}\displaystyle x=1,\quad x+1=2\\&#10;\displaystyle y=2\end{rgathered}\displaystyle x=1,\quad x+1=2\\&#10;\displaystyle y=2" text="b * a * r Coloneqq x@=@1@,@quad@x@+@1@=@2@y@=@2" xml:id="S9.E15.m1">
          <XMath>
            <XMApp>
              <XMTok name="Coloneqq" role="RELOP">⩴</XMTok>
              <XMApp>
                <XMTok meaning="times" role="MULOP">⁢</XMTok>
                <XMTok font="italic" role="UNKNOWN">b</XMTok>
                <XMTok font="italic" role="UNKNOWN">a</XMTok>
                <XMTok font="italic" role="UNKNOWN">r</XMTok>
              </XMApp>
              <XMDual>
                <XMWrap rule="Anything,">
                  <XMRef idref="S9.E15.m1.1"/>
                  <XMRef idref="S9.E15.m1.2"/>
                  <XMRef idref="S9.E15.m1.3"/>
                  <XMRef idref="S9.E15.m1.4"/>
                  <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                  <XMRef idref="S9.E15.m1.5"/>
                  <XMRef idref="S9.E15.m1.6"/>
                  <XMRef idref="S9.E15.m1.7"/>
                  <XMRef idref="S9.E15.m1.8"/>
                  <XMRef idref="S9.E15.m1.9"/>
                  <XMRef idref="S9.E15.m1.10"/>
                  <XMRef idref="S9.E15.m1.11"/>
                  <XMRef idref="S9.E15.m1.12"/>
                </XMWrap>
                <XMArray name="rgathered" vattach="bottom">
                  <XMRow>
                    <XMCell align="right">
                      <XMWrap>
                        <XMApp xml:id="S9.E15.m1.13">
                          <XMTok meaning="equals" role="RELOP" xml:id="S9.E15.m1.2">=</XMTok>
                          <XMTok font="italic" role="UNKNOWN" xml:id="S9.E15.m1.1">x</XMTok>
                          <XMTok meaning="1" role="NUMBER" xml:id="S9.E15.m1.3">1</XMTok>
                        </XMApp>
                        <XMTok role="PUNCT" rpadding="10.0pt" xml:id="S9.E15.m1.4">,</XMTok>
                        <XMApp xml:id="S9.E15.m1.14">
                          <XMTok meaning="equals" role="RELOP" xml:id="S9.E15.m1.8">=</XMTok>
                          <XMApp>
                            <XMTok meaning="plus" role="ADDOP" xml:id="S9.E15.m1.6">+</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S9.E15.m1.5">x</XMTok>
                            <XMTok meaning="1" role="NUMBER" xml:id="S9.E15.m1.7">1</XMTok>
                          </XMApp>
                          <XMTok meaning="2" role="NUMBER" xml:id="S9.E15.m1.9">2</XMTok>
                        </XMApp>
                      </XMWrap>
                    </XMCell>
                  </XMRow>
                  <XMRow>
                    <XMCell align="right">
                      <XMApp>
                        <XMTok meaning="equals" role="RELOP" xml:id="S9.E15.m1.11">=</XMTok>
                        <XMTok font="italic" role="UNKNOWN" xml:id="S9.E15.m1.10">y</XMTok>
                        <XMTok meaning="2" role="NUMBER" xml:id="S9.E15.m1.12">2</XMTok>
                      </XMApp>
                    </XMCell>
                  </XMRow>
                </XMArray>
              </XMDual>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
  </section>
  <section inlist="toc" xml:id="S10">
    <tags>
      <tag>10</tag>
      <tag role="refnum">10</tag>
      <tag role="typerefnum">§10</tag>
    </tags>
    <title><tag close=" ">10</tag>Spread-lines</title>
    <para xml:id="S10.p1">
      <p>Spread it</p>
      <equation xml:id="S10.Ex74">
        <Math mode="display" tex="\begin{matrix}a&amp;b&amp;c\\&#10;d&amp;e&amp;f\\&#10;g&amp;h&amp;i\end{matrix}" text="matrix@(Array[[a, b, c], [d, e, f], [g, h, i]])" xml:id="S10.Ex74.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="matrix"/>
                <XMRef idref="S10.Ex74.m1.1"/>
              </XMApp>
              <XMArray xml:id="S10.Ex74.m1.1">
                <XMRow>
                  <XMCell align="center">
                    <XMTok font="italic" role="UNKNOWN">a</XMTok>
                  </XMCell>
                  <XMCell align="center">
                    <XMTok font="italic" role="UNKNOWN">b</XMTok>
                  </XMCell>
                  <XMCell align="center">
                    <XMTok font="italic" role="UNKNOWN">c</XMTok>
                  </XMCell>
                </XMRow>
                <XMRow>
                  <XMCell align="center">
                    <XMTok font="italic" role="UNKNOWN">d</XMTok>
                  </XMCell>
                  <XMCell align="center">
                    <XMTok font="italic" role="UNKNOWN">e</XMTok>
                  </XMCell>
                  <XMCell align="center">
                    <XMTok font="italic" role="UNKNOWN">f</XMTok>
                  </XMCell>
                </XMRow>
                <XMRow>
                  <XMCell align="center">
                    <XMTok font="italic" role="UNKNOWN">g</XMTok>
                  </XMCell>
                  <XMCell align="center">
                    <XMTok font="italic" role="UNKNOWN">h</XMTok>
                  </XMCell>
                  <XMCell align="center">
                    <XMTok font="italic" role="UNKNOWN">i</XMTok>
                  </XMCell>
                </XMRow>
              </XMArray>
            </XMDual>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S10.p2">
      <equation xml:id="S10.Ex75">
        <Math mode="display" tex="\begin{pmatrix}a_{1,1}&amp;a_{1,2}&amp;\cdots&amp;a_{1,n}\\&#10;a_{2,1}&amp;a_{2,2}&amp;\cdots&amp;a_{2,n}\\&#10;\vdots&amp;\vdots&amp;\ddots&amp;\vdots\\&#10;a_{m,1}&amp;a_{m,2}&amp;\cdots&amp;a_{m,n}\end{pmatrix}" text="matrix@(Array[[a _ (list@(1, 1)), a _ (list@(1, 2)), cdots, a _ (list@(1, n))], [a _ (list@(2, 1)), a _ (list@(2, 2)), cdots, a _ (list@(2, n))], [vdots, vdots, ddots, vdots], [a _ (list@(m, 1)), a _ (list@(m, 2)), cdots, a _ (list@(m, n))]])" xml:id="S10.Ex75.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="matrix"/>
                <XMRef idref="S10.Ex75.m1.1"/>
              </XMApp>
              <XMWrap>
                <XMTok role="OPEN" stretchy="true">(</XMTok>
                <XMArray xml:id="S10.Ex75.m1.1">
                  <XMRow>
                    <XMCell align="center">
                      <XMApp>
                        <XMTok role="SUBSCRIPTOP" scriptpos="post6"/>
                        <XMTok font="italic" role="UNKNOWN">a</XMTok>
                        <XMDual>
                          <XMApp>
                            <XMTok meaning="list"/>
                            <XMRef idref="S10.Ex75.m1.1.1"/>
                            <XMRef idref="S10.Ex75.m1.1.2"/>
                          </XMApp>
                          <XMWrap>
                            <XMTok fontsize="70%" meaning="1" role="NUMBER" xml:id="S10.Ex75.m1.1.1">1</XMTok>
                            <XMTok fontsize="70%" role="PUNCT">,</XMTok>
                            <XMTok fontsize="70%" meaning="1" role="NUMBER" xml:id="S10.Ex75.m1.1.2">1</XMTok>
                          </XMWrap>
                        </XMDual>
                      </XMApp>
                    </XMCell>
                    <XMCell align="center">
                      <XMApp>
                        <XMTok role="SUBSCRIPTOP" scriptpos="post6"/>
                        <XMTok font="italic" role="UNKNOWN">a</XMTok>
                        <XMDual>
                          <XMApp>
                            <XMTok meaning="list"/>
                            <XMRef idref="S10.Ex75.m1.1.3"/>
                            <XMRef idref="S10.Ex75.m1.1.4"/>
                          </XMApp>
                          <XMWrap>
                            <XMTok fontsize="70%" meaning="1" role="NUMBER" xml:id="S10.Ex75.m1.1.3">1</XMTok>
                            <XMTok fontsize="70%" role="PUNCT">,</XMTok>
                            <XMTok fontsize="70%" meaning="2" role="NUMBER" xml:id="S10.Ex75.m1.1.4">2</XMTok>
                          </XMWrap>
                        </XMDual>
                      </XMApp>
                    </XMCell>
                    <XMCell align="center">
                      <XMTok name="cdots" role="ID">⋯</XMTok>
                    </XMCell>
                    <XMCell align="center">
                      <XMApp>
                        <XMTok role="SUBSCRIPTOP" scriptpos="post6"/>
                        <XMTok font="italic" role="UNKNOWN">a</XMTok>
                        <XMDual>
                          <XMApp>
                            <XMTok meaning="list"/>
                            <XMRef idref="S10.Ex75.m1.1.5"/>
                            <XMRef idref="S10.Ex75.m1.1.6"/>
                          </XMApp>
                          <XMWrap>
                            <XMTok fontsize="70%" meaning="1" role="NUMBER" xml:id="S10.Ex75.m1.1.5">1</XMTok>
                            <XMTok fontsize="70%" role="PUNCT">,</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN" xml:id="S10.Ex75.m1.1.6">n</XMTok>
                          </XMWrap>
                        </XMDual>
                      </XMApp>
                    </XMCell>
                  </XMRow>
                  <XMRow>
                    <XMCell align="center">
                      <XMApp>
                        <XMTok role="SUBSCRIPTOP" scriptpos="post6"/>
                        <XMTok font="italic" role="UNKNOWN">a</XMTok>
                        <XMDual>
                          <XMApp>
                            <XMTok meaning="list"/>
                            <XMRef idref="S10.Ex75.m1.1.7"/>
                            <XMRef idref="S10.Ex75.m1.1.8"/>
                          </XMApp>
                          <XMWrap>
                            <XMTok fontsize="70%" meaning="2" role="NUMBER" xml:id="S10.Ex75.m1.1.7">2</XMTok>
                            <XMTok fontsize="70%" role="PUNCT">,</XMTok>
                            <XMTok fontsize="70%" meaning="1" role="NUMBER" xml:id="S10.Ex75.m1.1.8">1</XMTok>
                          </XMWrap>
                        </XMDual>
                      </XMApp>
                    </XMCell>
                    <XMCell align="center">
                      <XMApp>
                        <XMTok role="SUBSCRIPTOP" scriptpos="post6"/>
                        <XMTok font="italic" role="UNKNOWN">a</XMTok>
                        <XMDual>
                          <XMApp>
                            <XMTok meaning="list"/>
                            <XMRef idref="S10.Ex75.m1.1.9"/>
                            <XMRef idref="S10.Ex75.m1.1.10"/>
                          </XMApp>
                          <XMWrap>
                            <XMTok fontsize="70%" meaning="2" role="NUMBER" xml:id="S10.Ex75.m1.1.9">2</XMTok>
                            <XMTok fontsize="70%" role="PUNCT">,</XMTok>
                            <XMTok fontsize="70%" meaning="2" role="NUMBER" xml:id="S10.Ex75.m1.1.10">2</XMTok>
                          </XMWrap>
                        </XMDual>
                      </XMApp>
                    </XMCell>
                    <XMCell align="center">
                      <XMTok name="cdots" role="ID">⋯</XMTok>
                    </XMCell>
                    <XMCell align="center">
                      <XMApp>
                        <XMTok role="SUBSCRIPTOP" scriptpos="post6"/>
                        <XMTok font="italic" role="UNKNOWN">a</XMTok>
                        <XMDual>
                          <XMApp>
                            <XMTok meaning="list"/>
                            <XMRef idref="S10.Ex75.m1.1.11"/>
                            <XMRef idref="S10.Ex75.m1.1.12"/>
                          </XMApp>
                          <XMWrap>
                            <XMTok fontsize="70%" meaning="2" role="NUMBER" xml:id="S10.Ex75.m1.1.11">2</XMTok>
                            <XMTok fontsize="70%" role="PUNCT">,</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN" xml:id="S10.Ex75.m1.1.12">n</XMTok>
                          </XMWrap>
                        </XMDual>
                      </XMApp>
                    </XMCell>
                  </XMRow>
                  <XMRow>
                    <XMCell align="center">
                      <XMTok name="vdots" role="ID">⋮</XMTok>
                    </XMCell>
                    <XMCell align="center">
                      <XMTok name="vdots" role="ID">⋮</XMTok>
                    </XMCell>
                    <XMCell align="center">
                      <XMTok name="ddots" role="ID">⋱</XMTok>
                    </XMCell>
                    <XMCell align="center">
                      <XMTok name="vdots" role="ID">⋮</XMTok>
                    </XMCell>
                  </XMRow>
                  <XMRow>
                    <XMCell align="center">
                      <XMApp>
                        <XMTok role="SUBSCRIPTOP" scriptpos="post6"/>
                        <XMTok font="italic" role="UNKNOWN">a</XMTok>
                        <XMDual>
                          <XMApp>
                            <XMTok meaning="list"/>
                            <XMRef idref="S10.Ex75.m1.1.13"/>
                            <XMRef idref="S10.Ex75.m1.1.14"/>
                          </XMApp>
                          <XMWrap>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN" xml:id="S10.Ex75.m1.1.13">m</XMTok>
                            <XMTok fontsize="70%" role="PUNCT">,</XMTok>
                            <XMTok fontsize="70%" meaning="1" role="NUMBER" xml:id="S10.Ex75.m1.1.14">1</XMTok>
                          </XMWrap>
                        </XMDual>
                      </XMApp>
                    </XMCell>
                    <XMCell align="center">
                      <XMApp>
                        <XMTok role="SUBSCRIPTOP" scriptpos="post6"/>
                        <XMTok font="italic" role="UNKNOWN">a</XMTok>
                        <XMDual>
                          <XMApp>
                            <XMTok meaning="list"/>
                            <XMRef idref="S10.Ex75.m1.1.15"/>
                            <XMRef idref="S10.Ex75.m1.1.16"/>
                          </XMApp>
                          <XMWrap>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN" xml:id="S10.Ex75.m1.1.15">m</XMTok>
                            <XMTok fontsize="70%" role="PUNCT">,</XMTok>
                            <XMTok fontsize="70%" meaning="2" role="NUMBER" xml:id="S10.Ex75.m1.1.16">2</XMTok>
                          </XMWrap>
                        </XMDual>
                      </XMApp>
                    </XMCell>
                    <XMCell align="center">
                      <XMTok name="cdots" role="ID">⋯</XMTok>
                    </XMCell>
                    <XMCell align="center">
                      <XMApp>
                        <XMTok role="SUBSCRIPTOP" scriptpos="post6"/>
                        <XMTok font="italic" role="UNKNOWN">a</XMTok>
                        <XMDual>
                          <XMApp>
                            <XMTok meaning="list"/>
                            <XMRef idref="S10.Ex75.m1.1.17"/>
                            <XMRef idref="S10.Ex75.m1.1.18"/>
                          </XMApp>
                          <XMWrap>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN" xml:id="S10.Ex75.m1.1.17">m</XMTok>
                            <XMTok fontsize="70%" role="PUNCT">,</XMTok>
                            <XMTok font="italic" fontsize="70%" role="UNKNOWN" xml:id="S10.Ex75.m1.1.18">n</XMTok>
                          </XMWrap>
                        </XMDual>
                      </XMApp>
                    </XMCell>
                  </XMRow>
                </XMArray>
                <XMTok role="CLOSE" stretchy="true">)</XMTok>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S10.p3">
      <p><Math mode="inline" tex="\begin{smallmatrix}a&amp;b\\&#10;c&amp;d\end{smallmatrix}" text="Array[[a, b], [c, d]]" xml:id="S10.p3.m1">
          <XMath>
            <XMArray>
              <XMRow>
                <XMCell align="center">
                  <XMTok font="italic" fontsize="70%" role="UNKNOWN">a</XMTok>
                </XMCell>
                <XMCell align="center">
                  <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                </XMCell>
              </XMRow>
              <XMRow>
                <XMCell align="center">
                  <XMTok font="italic" fontsize="70%" role="UNKNOWN">c</XMTok>
                </XMCell>
                <XMCell align="center">
                  <XMTok font="italic" fontsize="70%" role="UNKNOWN">d</XMTok>
                </XMCell>
              </XMRow>
            </XMArray>
          </XMath>
        </Math></p>
    </para>
    <para xml:id="S10.p4">
      <p><Math mode="inline" tex="\begin{cases}n/2&amp;\quad\text{if }n\text{ is even}\\&#10;-(n+1)/2&amp;\quad\text{if }n\text{ is odd}\\&#10;\end{cases}" text="cases@(n / 2, [if ] * n * [ is even], - (n + 1) / 2, [if ] * n * [ is odd])" xml:id="S10.p4.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="cases"/>
                <XMRef idref="S10.p4.m1.1"/>
                <XMRef idref="S10.p4.m1.2"/>
                <XMRef idref="S10.p4.m1.3"/>
                <XMRef idref="S10.p4.m1.4"/>
              </XMApp>
              <XMWrap>
                <XMTok role="OPEN" stretchy="true">{</XMTok>
                <XMArray>
                  <XMRow>
                    <XMCell align="left">
                      <XMApp xml:id="S10.p4.m1.1">
                        <XMTok meaning="divide" role="MULOP">/</XMTok>
                        <XMTok font="italic" role="UNKNOWN">n</XMTok>
                        <XMTok meaning="2" role="NUMBER">2</XMTok>
                      </XMApp>
                    </XMCell>
                    <XMCell align="left">
                      <XMApp xml:id="S10.p4.m1.2">
                        <XMTok meaning="times" role="MULOP">⁢</XMTok>
                        <XMText lpadding="10.0pt">if </XMText>
                        <XMTok font="italic" role="UNKNOWN">n</XMTok>
                        <XMText> is even</XMText>
                      </XMApp>
                    </XMCell>
                  </XMRow>
                  <XMRow>
                    <XMCell align="left">
                      <XMApp xml:id="S10.p4.m1.3">
                        <XMTok meaning="minus" role="ADDOP">-</XMTok>
                        <XMApp>
                          <XMTok meaning="divide" role="MULOP">/</XMTok>
                          <XMDual>
                            <XMRef idref="S10.p4.m1.3.1"/>
                            <XMWrap>
                              <XMTok role="OPEN" stretchy="false">(</XMTok>
                              <XMApp xml:id="S10.p4.m1.3.1">
                                <XMTok meaning="plus" role="ADDOP">+</XMTok>
                                <XMTok font="italic" role="UNKNOWN">n</XMTok>
                                <XMTok meaning="1" role="NUMBER">1</XMTok>
                              </XMApp>
                              <XMTok role="CLOSE" stretchy="false">)</XMTok>
                            </XMWrap>
                          </XMDual>
                          <XMTok meaning="2" role="NUMBER">2</XMTok>
                        </XMApp>
                      </XMApp>
                    </XMCell>
                    <XMCell align="left">
                      <XMApp xml:id="S10.p4.m1.4">
                        <XMTok meaning="times" role="MULOP">⁢</XMTok>
                        <XMText lpadding="10.0pt">if </XMText>
                        <XMTok font="italic" role="UNKNOWN">n</XMTok>
                        <XMText> is odd</XMText>
                      </XMApp>
                    </XMCell>
                  </XMRow>
                </XMArray>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math></p>
    </para>
    <para xml:id="S10.p5">
      <equation labels="LABEL:xx" xml:id="S10.E16">
        <tags>
          <tag>(16)</tag>
          <tag role="refnum">16</tag>
        </tags>
        <Math mode="display" tex="\begin{split}\displaystyle a&amp;\displaystyle=b+c-d\\&#10;&amp;\displaystyle\quad+e-f\\&#10;&amp;\displaystyle=g+h\\&#10;&amp;\displaystyle=i\end{split}" text="a = (((b + c) - d) + e) - f = g + h = i" xml:id="S10.E16.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMTok meaning="multirelation"/>
                <XMRef idref="S10.E16.m1.1"/>
                <XMRef idref="S10.E16.m1.2"/>
                <XMApp>
                  <XMRef idref="S10.E16.m1.10"/>
                  <XMApp>
                    <XMRef idref="S10.E16.m1.8"/>
                    <XMApp>
                      <XMRef idref="S10.E16.m1.6"/>
                      <XMApp>
                        <XMRef idref="S10.E16.m1.4"/>
                        <XMRef idref="S10.E16.m1.3"/>
                        <XMRef idref="S10.E16.m1.5"/>
                      </XMApp>
                      <XMRef idref="S10.E16.m1.7"/>
                    </XMApp>
                    <XMRef idref="S10.E16.m1.9"/>
                  </XMApp>
                  <XMRef idref="S10.E16.m1.11"/>
                </XMApp>
                <XMRef idref="S10.E16.m1.12"/>
                <XMApp>
                  <XMRef idref="S10.E16.m1.14"/>
                  <XMRef idref="S10.E16.m1.13"/>
                  <XMRef idref="S10.E16.m1.15"/>
                </XMApp>
                <XMRef idref="S10.E16.m1.16"/>
                <XMRef idref="S10.E16.m1.17"/>
              </XMApp>
              <XMArray colsep="0pt" name="aligned" rowsep="30.0pt">
                <XMRow>
                  <XMCell align="right">
                    <XMTok font="italic" role="UNKNOWN" xml:id="S10.E16.m1.1">a</XMTok>
                  </XMCell>
                  <XMCell align="left">
                    <XMApp>
                      <XMTok meaning="equals" role="RELOP" xml:id="S10.E16.m1.2">=</XMTok>
                      <XMTok meaning="absent"/>
                      <XMApp>
                        <XMTok meaning="minus" role="ADDOP" xml:id="S10.E16.m1.6">-</XMTok>
                        <XMApp>
                          <XMTok meaning="plus" role="ADDOP" xml:id="S10.E16.m1.4">+</XMTok>
                          <XMTok font="italic" role="UNKNOWN" xml:id="S10.E16.m1.3">b</XMTok>
                          <XMTok font="italic" role="UNKNOWN" xml:id="S10.E16.m1.5">c</XMTok>
                        </XMApp>
                        <XMTok font="italic" role="UNKNOWN" xml:id="S10.E16.m1.7">d</XMTok>
                      </XMApp>
                    </XMApp>
                  </XMCell>
                </XMRow>
                <XMRow>
                  <XMCell/>
                  <XMCell align="left">
                    <XMApp>
                      <XMTok meaning="minus" role="ADDOP" xml:id="S10.E16.m1.10">-</XMTok>
                      <XMApp>
                        <XMTok lpadding="10.0pt" meaning="plus" role="ADDOP" xml:id="S10.E16.m1.8">+</XMTok>
                        <XMTok font="italic" role="UNKNOWN" xml:id="S10.E16.m1.9">e</XMTok>
                      </XMApp>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.E16.m1.11">f</XMTok>
                    </XMApp>
                  </XMCell>
                </XMRow>
                <XMRow>
                  <XMCell/>
                  <XMCell align="left">
                    <XMApp>
                      <XMTok meaning="equals" role="RELOP" xml:id="S10.E16.m1.12">=</XMTok>
                      <XMTok meaning="absent"/>
                      <XMApp>
                        <XMTok meaning="plus" role="ADDOP" xml:id="S10.E16.m1.14">+</XMTok>
                        <XMTok font="italic" role="UNKNOWN" xml:id="S10.E16.m1.13">g</XMTok>
                        <XMTok font="italic" role="UNKNOWN" xml:id="S10.E16.m1.15">h</XMTok>
                      </XMApp>
                    </XMApp>
                  </XMCell>
                </XMRow>
                <XMRow>
                  <XMCell/>
                  <XMCell align="left">
                    <XMApp>
                      <XMTok meaning="equals" role="RELOP" xml:id="S10.E16.m1.16">=</XMTok>
                      <XMTok meaning="absent"/>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.E16.m1.17">i</XMTok>
                    </XMApp>
                  </XMCell>
                </XMRow>
              </XMArray>
            </XMDual>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S10.p6">
      <equation xml:id="S10.E17">
        <tags>
          <tag>(17)</tag>
          <tag role="refnum">17</tag>
        </tags>
        <Math mode="display" tex="\displaystyle a+b+c+d+e+f\\&#10;\displaystyle+i+j+k+l+m+n" text="a + b + c + d + e + f + i + j + k + l + m + n" xml:id="S10.E17.m1">
          <XMath>
            <XMDual>
              <XMApp>
                <XMRef idref="S10.E17.m1.2"/>
                <XMRef idref="S10.E17.m1.1"/>
                <XMRef idref="S10.E17.m1.3"/>
                <XMRef idref="S10.E17.m1.5"/>
                <XMRef idref="S10.E17.m1.7"/>
                <XMRef idref="S10.E17.m1.9"/>
                <XMRef idref="S10.E17.m1.11"/>
                <XMRef idref="S10.E17.m1.13"/>
                <XMRef idref="S10.E17.m1.15"/>
                <XMRef idref="S10.E17.m1.17"/>
                <XMRef idref="S10.E17.m1.19"/>
                <XMRef idref="S10.E17.m1.21"/>
                <XMRef idref="S10.E17.m1.23"/>
              </XMApp>
              <XMArray name="multline" rowsep="30.0pt">
                <XMRow>
                  <XMCell align="left">
                    <XMApp>
                      <XMTok meaning="plus" role="ADDOP" xml:id="S10.E17.m1.2">+</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.E17.m1.1">a</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.E17.m1.3">b</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.E17.m1.5">c</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.E17.m1.7">d</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.E17.m1.9">e</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.E17.m1.11">f</XMTok>
                    </XMApp>
                  </XMCell>
                </XMRow>
                <XMRow>
                  <XMCell align="right">
                    <XMApp>
                      <XMTok meaning="plus" role="ADDOP" xml:id="S10.E17.m1.14">+</XMTok>
                      <XMApp>
                        <XMTok meaning="plus" role="ADDOP" xml:id="S10.E17.m1.12">+</XMTok>
                        <XMTok font="italic" role="UNKNOWN" xml:id="S10.E17.m1.13">i</XMTok>
                      </XMApp>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.E17.m1.15">j</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.E17.m1.17">k</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.E17.m1.19">l</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.E17.m1.21">m</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.E17.m1.23">n</XMTok>
                    </XMApp>
                  </XMCell>
                </XMRow>
              </XMArray>
            </XMDual>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S10.p7">
      <equationgroup class="ltx_eqn_gather" rowsep="30.0pt" xml:id="S12.EGx5">
        <equation xml:id="S10.E18">
          <tags>
            <tag>(18)</tag>
            <tag role="refnum">18</tag>
          </tags>
          <Math mode="display" tex="\displaystyle a=b" text="a = b" xml:id="S10.E18.m1">
            <XMath>
              <XMApp>
                <XMTok meaning="equals" role="RELOP">=</XMTok>
                <XMTok font="italic" role="UNKNOWN">a</XMTok>
                <XMTok font="italic" role="UNKNOWN">b</XMTok>
              </XMApp>
            </XMath>
          </Math>
        </equation>
        <equation xml:id="S10.E19">
          <tags>
            <tag>(19)</tag>
            <tag role="refnum">19</tag>
          </tags>
          <Math mode="display" tex="\displaystyle c=d" text="c = d" xml:id="S10.E19.m1">
            <XMath>
              <XMApp>
                <XMTok meaning="equals" role="RELOP">=</XMTok>
                <XMTok font="italic" role="UNKNOWN">c</XMTok>
                <XMTok font="italic" role="UNKNOWN">d</XMTok>
              </XMApp>
            </XMath>
          </Math>
        </equation>
      </equationgroup>
    </para>
    <para xml:id="S10.p8">
      <equationgroup class="ltx_eqn_align" rowsep="30.0pt" xml:id="S12.EGx6">
        <equation xml:id="S10.E20">
          <tags>
            <tag>(20)</tag>
            <tag role="refnum">20</tag>
          </tags>
          <MathFork>
            <Math tex="\displaystyle a_{1}=b_{1}+c_{1}" text="a _ 1 = b _ 1 + c _ 1" xml:id="S10.E20.m3">
              <XMath>
                <XMApp>
                  <XMTok meaning="equals" role="RELOP">=</XMTok>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                    <XMTok font="italic" role="UNKNOWN">a</XMTok>
                    <XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
                  </XMApp>
                  <XMApp>
                    <XMTok meaning="plus" role="ADDOP">+</XMTok>
                    <XMApp>
                      <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                      <XMTok font="italic" role="UNKNOWN">b</XMTok>
                      <XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
                    </XMApp>
                    <XMApp>
                      <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                      <XMTok font="italic" role="UNKNOWN">c</XMTok>
                      <XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
                    </XMApp>
                  </XMApp>
                </XMApp>
              </XMath>
            </Math>
            <MathBranch>
              <td align="right"><Math mode="inline" tex="\displaystyle a_{1}" text="a _ 1" xml:id="S10.E20.m1">
                  <XMath>
                    <XMApp>
                      <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                      <XMTok font="italic" role="UNKNOWN">a</XMTok>
                      <XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
                    </XMApp>
                  </XMath>
                </Math></td>
              <td align="left"><Math mode="inline" tex="\displaystyle=b_{1}+c_{1}" text="absent = b _ 1 + c _ 1" xml:id="S10.E20.m2">
                  <XMath>
                    <XMApp>
                      <XMTok meaning="equals" role="RELOP">=</XMTok>
                      <XMTok meaning="absent"/>
                      <XMApp>
                        <XMTok meaning="plus" role="ADDOP">+</XMTok>
                        <XMApp>
                          <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                          <XMTok font="italic" role="UNKNOWN">b</XMTok>
                          <XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
                        </XMApp>
                        <XMApp>
                          <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                          <XMTok font="italic" role="UNKNOWN">c</XMTok>
                          <XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
                        </XMApp>
                      </XMApp>
                    </XMApp>
                  </XMath>
                </Math></td>
            </MathBranch>
          </MathFork>
        </equation>
        <equation xml:id="S10.E21">
          <tags>
            <tag>(21)</tag>
            <tag role="refnum">21</tag>
          </tags>
          <MathFork>
            <Math tex="\displaystyle a_{2}=b_{2}+c_{2}-d_{2}+e_{2}" text="a _ 2 = ((b _ 2 + c _ 2) - d _ 2) + e _ 2" xml:id="S10.E21.m3">
              <XMath>
                <XMApp>
                  <XMTok meaning="equals" role="RELOP">=</XMTok>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                    <XMTok font="italic" role="UNKNOWN">a</XMTok>
                    <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                  </XMApp>
                  <XMApp>
                    <XMTok meaning="plus" role="ADDOP">+</XMTok>
                    <XMApp>
                      <XMTok meaning="minus" role="ADDOP">-</XMTok>
                      <XMApp>
                        <XMTok meaning="plus" role="ADDOP">+</XMTok>
                        <XMApp>
                          <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                          <XMTok font="italic" role="UNKNOWN">b</XMTok>
                          <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                        </XMApp>
                        <XMApp>
                          <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                          <XMTok font="italic" role="UNKNOWN">c</XMTok>
                          <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                        </XMApp>
                      </XMApp>
                      <XMApp>
                        <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                        <XMTok font="italic" role="UNKNOWN">d</XMTok>
                        <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                      </XMApp>
                    </XMApp>
                    <XMApp>
                      <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                      <XMTok font="italic" role="UNKNOWN">e</XMTok>
                      <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                    </XMApp>
                  </XMApp>
                </XMApp>
              </XMath>
            </Math>
            <MathBranch>
              <td align="right"><Math mode="inline" tex="\displaystyle a_{2}" text="a _ 2" xml:id="S10.E21.m1">
                  <XMath>
                    <XMApp>
                      <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                      <XMTok font="italic" role="UNKNOWN">a</XMTok>
                      <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                    </XMApp>
                  </XMath>
                </Math></td>
              <td align="left"><Math mode="inline" tex="\displaystyle=b_{2}+c_{2}-d_{2}+e_{2}" text="absent = ((b _ 2 + c _ 2) - d _ 2) + e _ 2" xml:id="S10.E21.m2">
                  <XMath>
                    <XMApp>
                      <XMTok meaning="equals" role="RELOP">=</XMTok>
                      <XMTok meaning="absent"/>
                      <XMApp>
                        <XMTok meaning="plus" role="ADDOP">+</XMTok>
                        <XMApp>
                          <XMTok meaning="minus" role="ADDOP">-</XMTok>
                          <XMApp>
                            <XMTok meaning="plus" role="ADDOP">+</XMTok>
                            <XMApp>
                              <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                              <XMTok font="italic" role="UNKNOWN">b</XMTok>
                              <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                            </XMApp>
                            <XMApp>
                              <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                              <XMTok font="italic" role="UNKNOWN">c</XMTok>
                              <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                            </XMApp>
                          </XMApp>
                          <XMApp>
                            <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                            <XMTok font="italic" role="UNKNOWN">d</XMTok>
                            <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                          </XMApp>
                        </XMApp>
                        <XMApp>
                          <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                          <XMTok font="italic" role="UNKNOWN">e</XMTok>
                          <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                        </XMApp>
                      </XMApp>
                    </XMApp>
                  </XMath>
                </Math></td>
            </MathBranch>
          </MathFork>
        </equation>
      </equationgroup>
    </para>
    <para xml:id="S10.p9">
      <equationgroup class="ltx_eqn_align" rowsep="30.0pt" xml:id="S12.EGx7">
        <equation xml:id="S10.Ex76">
          <MathFork>
            <Math tex="\displaystyle a_{11}=b_{11}" text="a _ 11 = b _ 11" xml:id="S10.Ex76.m5">
              <XMath>
                <XMApp>
                  <XMTok meaning="equals" role="RELOP">=</XMTok>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                    <XMTok font="italic" role="UNKNOWN">a</XMTok>
                    <XMTok fontsize="70%" meaning="11" role="NUMBER">11</XMTok>
                  </XMApp>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                    <XMTok font="italic" role="UNKNOWN">b</XMTok>
                    <XMTok fontsize="70%" meaning="11" role="NUMBER">11</XMTok>
                  </XMApp>
                </XMApp>
              </XMath>
            </Math>
            <MathBranch>
              <td align="right"><Math mode="inline" tex="\displaystyle a_{11}" text="a _ 11" xml:id="S10.Ex76.m1">
                  <XMath>
                    <XMApp>
                      <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                      <XMTok font="italic" role="UNKNOWN">a</XMTok>
                      <XMTok fontsize="70%" meaning="11" role="NUMBER">11</XMTok>
                    </XMApp>
                  </XMath>
                </Math></td>
              <td align="left"><Math mode="inline" tex="\displaystyle=b_{11}" text="absent = b _ 11" xml:id="S10.Ex76.m2">
                  <XMath>
                    <XMApp>
                      <XMTok meaning="equals" role="RELOP">=</XMTok>
                      <XMTok meaning="absent"/>
                      <XMApp>
                        <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                        <XMTok font="italic" role="UNKNOWN">b</XMTok>
                        <XMTok fontsize="70%" meaning="11" role="NUMBER">11</XMTok>
                      </XMApp>
                    </XMApp>
                  </XMath>
                </Math></td>
            </MathBranch>
          </MathFork>
          <MathFork>
            <Math tex="\displaystyle a_{12}=b_{12}" text="a _ 12 = b _ 12" xml:id="S10.Ex76.m6">
              <XMath>
                <XMApp>
                  <XMTok meaning="equals" role="RELOP">=</XMTok>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                    <XMTok font="italic" role="UNKNOWN">a</XMTok>
                    <XMTok fontsize="70%" meaning="12" role="NUMBER">12</XMTok>
                  </XMApp>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                    <XMTok font="italic" role="UNKNOWN">b</XMTok>
                    <XMTok fontsize="70%" meaning="12" role="NUMBER">12</XMTok>
                  </XMApp>
                </XMApp>
              </XMath>
            </Math>
            <MathBranch>
              <td align="right"><Math mode="inline" tex="\displaystyle a_{12}" text="a _ 12" xml:id="S10.Ex76.m3">
                  <XMath>
                    <XMApp>
                      <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                      <XMTok font="italic" role="UNKNOWN">a</XMTok>
                      <XMTok fontsize="70%" meaning="12" role="NUMBER">12</XMTok>
                    </XMApp>
                  </XMath>
                </Math></td>
              <td align="left"><Math mode="inline" tex="\displaystyle=b_{12}" text="absent = b _ 12" xml:id="S10.Ex76.m4">
                  <XMath>
                    <XMApp>
                      <XMTok meaning="equals" role="RELOP">=</XMTok>
                      <XMTok meaning="absent"/>
                      <XMApp>
                        <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                        <XMTok font="italic" role="UNKNOWN">b</XMTok>
                        <XMTok fontsize="70%" meaning="12" role="NUMBER">12</XMTok>
                      </XMApp>
                    </XMApp>
                  </XMath>
                </Math></td>
            </MathBranch>
          </MathFork>
        </equation>
        <equation xml:id="S10.Ex77">
          <MathFork>
            <Math tex="\displaystyle a_{21}=b_{21}" text="a _ 21 = b _ 21" xml:id="S10.Ex77.m5">
              <XMath>
                <XMApp>
                  <XMTok meaning="equals" role="RELOP">=</XMTok>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                    <XMTok font="italic" role="UNKNOWN">a</XMTok>
                    <XMTok fontsize="70%" meaning="21" role="NUMBER">21</XMTok>
                  </XMApp>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                    <XMTok font="italic" role="UNKNOWN">b</XMTok>
                    <XMTok fontsize="70%" meaning="21" role="NUMBER">21</XMTok>
                  </XMApp>
                </XMApp>
              </XMath>
            </Math>
            <MathBranch>
              <td align="right"><Math mode="inline" tex="\displaystyle a_{21}" text="a _ 21" xml:id="S10.Ex77.m1">
                  <XMath>
                    <XMApp>
                      <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                      <XMTok font="italic" role="UNKNOWN">a</XMTok>
                      <XMTok fontsize="70%" meaning="21" role="NUMBER">21</XMTok>
                    </XMApp>
                  </XMath>
                </Math></td>
              <td align="left"><Math mode="inline" tex="\displaystyle=b_{21}" text="absent = b _ 21" xml:id="S10.Ex77.m2">
                  <XMath>
                    <XMApp>
                      <XMTok meaning="equals" role="RELOP">=</XMTok>
                      <XMTok meaning="absent"/>
                      <XMApp>
                        <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                        <XMTok font="italic" role="UNKNOWN">b</XMTok>
                        <XMTok fontsize="70%" meaning="21" role="NUMBER">21</XMTok>
                      </XMApp>
                    </XMApp>
                  </XMath>
                </Math></td>
            </MathBranch>
          </MathFork>
          <MathFork>
            <Math tex="\displaystyle a_{22}=b_{22}+c_{22}" text="a _ 22 = b _ 22 + c _ 22" xml:id="S10.Ex77.m6">
              <XMath>
                <XMApp>
                  <XMTok meaning="equals" role="RELOP">=</XMTok>
                  <XMApp>
                    <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                    <XMTok font="italic" role="UNKNOWN">a</XMTok>
                    <XMTok fontsize="70%" meaning="22" role="NUMBER">22</XMTok>
                  </XMApp>
                  <XMApp>
                    <XMTok meaning="plus" role="ADDOP">+</XMTok>
                    <XMApp>
                      <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                      <XMTok font="italic" role="UNKNOWN">b</XMTok>
                      <XMTok fontsize="70%" meaning="22" role="NUMBER">22</XMTok>
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                    <XMApp>
                      <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                      <XMTok font="italic" role="UNKNOWN">c</XMTok>
                      <XMTok fontsize="70%" meaning="22" role="NUMBER">22</XMTok>
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                </XMApp>
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                      <XMTok font="italic" role="UNKNOWN">a</XMTok>
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                </Math></td>
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                  <XMath>
                    <XMApp>
                      <XMTok meaning="equals" role="RELOP">=</XMTok>
                      <XMTok meaning="absent"/>
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                        <XMTok meaning="plus" role="ADDOP">+</XMTok>
                        <XMApp>
                          <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                          <XMTok font="italic" role="UNKNOWN">b</XMTok>
                          <XMTok fontsize="70%" meaning="22" role="NUMBER">22</XMTok>
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                        <XMApp>
                          <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                          <XMTok font="italic" role="UNKNOWN">c</XMTok>
                          <XMTok fontsize="70%" meaning="22" role="NUMBER">22</XMTok>
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                      </XMApp>
                    </XMApp>
                  </XMath>
                </Math></td>
            </MathBranch>
          </MathFork>
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      </equationgroup>
    </para>
    <para xml:id="S10.p10">
      <equationgroup class="ltx_eqn_align" rowsep="30.0pt" xml:id="S12.EGx8">
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            <tag>(22)</tag>
            <tag role="refnum">22</tag>
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              <XMath>
                <XMApp>
                  <XMTok meaning="equals" role="RELOP">=</XMTok>
                  <XMTok font="italic" role="UNKNOWN">x</XMTok>
                  <XMApp>
                    <XMTok meaning="minus" role="ADDOP">-</XMTok>
                    <XMApp>
                      <XMTok meaning="plus" role="ADDOP">+</XMTok>
                      <XMApp>
                        <XMTok meaning="minus" role="ADDOP">-</XMTok>
                        <XMApp>
                          <XMTok meaning="plus" role="ADDOP">+</XMTok>
                          <XMApp>
                            <XMTok meaning="minus" role="ADDOP">-</XMTok>
                            <XMApp>
                              <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                              <XMTok font="italic" role="UNKNOWN">y</XMTok>
                              <XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
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                            <XMApp>
                              <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                              <XMTok font="italic" role="UNKNOWN">y</XMTok>
                              <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
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                          </XMApp>
                          <XMApp>
                            <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                            <XMTok font="italic" role="UNKNOWN">y</XMTok>
                            <XMTok fontsize="70%" meaning="3" role="NUMBER">3</XMTok>
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                        </XMApp>
                        <XMApp>
                          <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                          <XMTok font="italic" role="UNKNOWN">y</XMTok>
                          <XMTok fontsize="70%" meaning="5" role="NUMBER">5</XMTok>
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                      </XMApp>
                      <XMApp>
                        <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                        <XMTok font="italic" role="UNKNOWN">y</XMTok>
                        <XMTok fontsize="70%" meaning="8" role="NUMBER">8</XMTok>
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                    </XMApp>
                    <XMTok name="dots" role="ID">…</XMTok>
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                </XMApp>
              </XMath>
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                    <XMTok font="italic" role="UNKNOWN">x</XMTok>
                  </XMath>
                </Math></td>
              <td align="left"><Math mode="inline" tex="\displaystyle=y_{1}-y_{2}+y_{3}-y_{5}+y_{8}-\dots" text="absent = ((((y _ 1 - y _ 2) + y _ 3) - y _ 5) + y _ 8) - dots" xml:id="S10.E22.m2">
                  <XMath>
                    <XMApp>
                      <XMTok meaning="equals" role="RELOP">=</XMTok>
                      <XMTok meaning="absent"/>
                      <XMApp>
                        <XMTok meaning="minus" role="ADDOP">-</XMTok>
                        <XMApp>
                          <XMTok meaning="plus" role="ADDOP">+</XMTok>
                          <XMApp>
                            <XMTok meaning="minus" role="ADDOP">-</XMTok>
                            <XMApp>
                              <XMTok meaning="plus" role="ADDOP">+</XMTok>
                              <XMApp>
                                <XMTok meaning="minus" role="ADDOP">-</XMTok>
                                <XMApp>
                                  <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                                  <XMTok font="italic" role="UNKNOWN">y</XMTok>
                                  <XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
                                </XMApp>
                                <XMApp>
                                  <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                                  <XMTok font="italic" role="UNKNOWN">y</XMTok>
                                  <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                                </XMApp>
                              </XMApp>
                              <XMApp>
                                <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                                <XMTok font="italic" role="UNKNOWN">y</XMTok>
                                <XMTok fontsize="70%" meaning="3" role="NUMBER">3</XMTok>
                              </XMApp>
                            </XMApp>
                            <XMApp>
                              <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                              <XMTok font="italic" role="UNKNOWN">y</XMTok>
                              <XMTok fontsize="70%" meaning="5" role="NUMBER">5</XMTok>
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                          </XMApp>
                          <XMApp>
                            <XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
                            <XMTok font="italic" role="UNKNOWN">y</XMTok>
                            <XMTok fontsize="70%" meaning="8" role="NUMBER">8</XMTok>
                          </XMApp>
                        </XMApp>
                        <XMTok name="dots" role="ID">…</XMTok>
                      </XMApp>
                    </XMApp>
                  </XMath>
                </Math></td>
            </MathBranch>
          </MathFork>
          <MathFork>
            <text class="ltx_markedasmath">by foo</text>
            <MathBranch>
              <td align="right"/>
              <td align="left"><text class="ltx_markedasmath">by foo</text></td>
            </MathBranch>
          </MathFork>
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        <equation xml:id="S10.E23">
          <tags>
            <tag>(23)</tag>
            <tag role="refnum">23</tag>
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          <MathFork>
            <Math tex="\displaystyle=y^{\prime}\circ y^{*}" text="absent = y ^ prime compose y ^ *" xml:id="S10.E23.m5">
              <XMath>
                <XMApp>
                  <XMTok meaning="equals" role="RELOP">=</XMTok>
                  <XMTok meaning="absent"/>
                  <XMApp>
                    <XMTok meaning="compose" name="circ" role="MULOP">∘</XMTok>
                    <XMApp>
                      <XMTok role="SUPERSCRIPTOP" scriptpos="post1"/>
                      <XMTok font="italic" role="UNKNOWN">y</XMTok>
                      <XMTok fontsize="70%" name="prime" role="SUPOP">′</XMTok>
                    </XMApp>
                    <XMApp>
                      <XMTok role="SUPERSCRIPTOP" scriptpos="post1"/>
                      <XMTok font="italic" role="UNKNOWN">y</XMTok>
                      <XMTok fontsize="70%" meaning="times" role="MULOP">*</XMTok>
                    </XMApp>
                  </XMApp>
                </XMApp>
              </XMath>
            </Math>
            <MathBranch>
              <td align="right"/>
              <td align="left"><Math mode="inline" tex="\displaystyle=y^{\prime}\circ y^{*}" text="absent = y ^ prime compose y ^ *" xml:id="S10.E23.m2">
                  <XMath>
                    <XMApp>
                      <XMTok meaning="equals" role="RELOP">=</XMTok>
                      <XMTok meaning="absent"/>
                      <XMApp>
                        <XMTok meaning="compose" name="circ" role="MULOP">∘</XMTok>
                        <XMApp>
                          <XMTok role="SUPERSCRIPTOP" scriptpos="post1"/>
                          <XMTok font="italic" role="UNKNOWN">y</XMTok>
                          <XMTok fontsize="70%" name="prime" role="SUPOP">′</XMTok>
                        </XMApp>
                        <XMApp>
                          <XMTok role="SUPERSCRIPTOP" scriptpos="post1"/>
                          <XMTok font="italic" role="UNKNOWN">y</XMTok>
                          <XMTok fontsize="70%" meaning="times" role="MULOP">*</XMTok>
                        </XMApp>
                      </XMApp>
                    </XMApp>
                  </XMath>
                </Math></td>
            </MathBranch>
          </MathFork>
          <MathFork>
            <text class="ltx_markedasmath">by baz</text>
            <MathBranch>
              <td align="right"/>
              <td align="left"><text class="ltx_markedasmath">by baz</text></td>
            </MathBranch>
          </MathFork>
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        <equation xml:id="S10.E24">
          <tags>
            <tag>(24)</tag>
            <tag role="refnum">24</tag>
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          <MathFork>
            <Math tex="\displaystyle=y(0)y^{\prime}" text="absent = y * 0 * y ^ prime" xml:id="S10.E24.m5">
              <XMath>
                <XMApp>
                  <XMTok meaning="equals" role="RELOP">=</XMTok>
                  <XMTok meaning="absent"/>
                  <XMApp>
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMTok font="italic" role="UNKNOWN">y</XMTok>
                    <XMDual>
                      <XMRef idref="S10.E24.m5.1"/>
                      <XMWrap>
                        <XMTok role="OPEN" stretchy="false">(</XMTok>
                        <XMTok meaning="0" role="NUMBER" xml:id="S10.E24.m5.1">0</XMTok>
                        <XMTok role="CLOSE" stretchy="false">)</XMTok>
                      </XMWrap>
                    </XMDual>
                    <XMApp>
                      <XMTok role="SUPERSCRIPTOP" scriptpos="post1"/>
                      <XMTok font="italic" role="UNKNOWN">y</XMTok>
                      <XMTok fontsize="70%" name="prime" role="SUPOP">′</XMTok>
                    </XMApp>
                  </XMApp>
                </XMApp>
              </XMath>
            </Math>
            <MathBranch>
              <td align="right"/>
              <td align="left"><Math mode="inline" tex="\displaystyle=y(0)y^{\prime}" text="absent = y * 0 * y ^ prime" xml:id="S10.E24.m2">
                  <XMath>
                    <XMApp>
                      <XMTok meaning="equals" role="RELOP">=</XMTok>
                      <XMTok meaning="absent"/>
                      <XMApp>
                        <XMTok meaning="times" role="MULOP">⁢</XMTok>
                        <XMTok font="italic" role="UNKNOWN">y</XMTok>
                        <XMDual>
                          <XMRef idref="S10.E24.m2.1"/>
                          <XMWrap>
                            <XMTok role="OPEN" stretchy="false">(</XMTok>
                            <XMTok meaning="0" role="NUMBER" xml:id="S10.E24.m2.1">0</XMTok>
                            <XMTok role="CLOSE" stretchy="false">)</XMTok>
                          </XMWrap>
                        </XMDual>
                        <XMApp>
                          <XMTok role="SUPERSCRIPTOP" scriptpos="post1"/>
                          <XMTok font="italic" role="UNKNOWN">y</XMTok>
                          <XMTok fontsize="70%" name="prime" role="SUPOP">′</XMTok>
                        </XMApp>
                      </XMApp>
                    </XMApp>
                  </XMath>
                </Math></td>
            </MathBranch>
          </MathFork>
          <MathFork>
            <text class="ltx_markedasmath">by Axiom 1.</text>
            <MathBranch>
              <td align="right"/>
              <td align="left"><text class="ltx_markedasmath">by Axiom 1.</text></td>
            </MathBranch>
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      </equationgroup>
    </para>
    <para xml:id="S10.p11">
      <equation xml:id="S10.Ex78">
        <Math mode="display" tex="\left.\begin{aligned} \displaystyle B^{\prime}&amp;\displaystyle=-\partial\times E%&#10;,\\&#10;\displaystyle E^{\prime}&amp;\displaystyle=\partial\times B-4\pi j,\end{aligned}%&#10;\right\}\qquad\text{Maxwell's equations}" xml:id="S10.Ex78.m1">
          <XMath>
            <XMArray colsep="0pt" name="aligned" rowsep="30.0pt">
              <XMRow>
                <XMCell align="right">
                  <XMApp>
                    <XMTok role="SUPERSCRIPTOP" scriptpos="post8"/>
                    <XMTok font="italic" role="UNKNOWN">B</XMTok>
                    <XMTok fontsize="70%" name="prime" role="SUPOP">′</XMTok>
                  </XMApp>
                </XMCell>
                <XMCell align="left">
                  <XMDual>
                    <XMRef idref="S10.Ex78.m1.1"/>
                    <XMWrap>
                      <XMApp xml:id="S10.Ex78.m1.1">
                        <XMTok meaning="equals" role="RELOP">=</XMTok>
                        <XMTok meaning="absent"/>
                        <XMApp>
                          <XMTok meaning="minus" role="ADDOP">-</XMTok>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">×</XMTok>
                            <XMTok meaning="partial-differential" name="partial" role="OPERATOR">∂</XMTok>
                            <XMTok font="italic" role="UNKNOWN">E</XMTok>
                          </XMApp>
                        </XMApp>
                      </XMApp>
                      <XMTok role="PUNCT">,</XMTok>
                    </XMWrap>
                  </XMDual>
                </XMCell>
              </XMRow>
              <XMRow>
                <XMCell align="right">
                  <XMApp>
                    <XMTok role="SUPERSCRIPTOP" scriptpos="post8"/>
                    <XMTok font="italic" role="UNKNOWN">E</XMTok>
                    <XMTok fontsize="70%" name="prime" role="SUPOP">′</XMTok>
                  </XMApp>
                </XMCell>
                <XMCell align="left">
                  <XMDual>
                    <XMRef idref="S10.Ex78.m1.2"/>
                    <XMWrap>
                      <XMApp xml:id="S10.Ex78.m1.2">
                        <XMTok meaning="equals" role="RELOP">=</XMTok>
                        <XMTok meaning="absent"/>
                        <XMApp>
                          <XMTok meaning="minus" role="ADDOP">-</XMTok>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">×</XMTok>
                            <XMTok meaning="partial-differential" name="partial" role="OPERATOR">∂</XMTok>
                            <XMTok font="italic" role="UNKNOWN">B</XMTok>
                          </XMApp>
                          <XMApp>
                            <XMTok meaning="times" role="MULOP">⁢</XMTok>
                            <XMTok meaning="4" role="NUMBER">4</XMTok>
                            <XMTok font="italic" name="pi" role="UNKNOWN">π</XMTok>
                            <XMTok font="italic" role="UNKNOWN">j</XMTok>
                          </XMApp>
                        </XMApp>
                      </XMApp>
                      <XMTok role="PUNCT">,</XMTok>
                    </XMWrap>
                  </XMDual>
                </XMCell>
              </XMRow>
            </XMArray>
            <XMTok role="CLOSE" stretchy="true">}</XMTok>
            <XMTok font="italic" name="qquad" role="PUNCT">  </XMTok>
            <XMText>Maxwell’s equations</XMText>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S10.p12">
      <equation xml:id="S10.Ex79">
        <Math mode="display" tex="\bigl{(}\begin{smallmatrix}a&amp;b\\&#10;c&amp;d\end{smallmatrix}\bigr{)}" text="Array[[a, b], [c, d]]" xml:id="S10.Ex79.m1">
          <XMath>
            <XMDual>
              <XMRef idref="S10.Ex79.m1.1"/>
              <XMWrap>
                <XMTok fontsize="120%" role="OPEN" stretchy="false">(</XMTok>
                <XMArray xml:id="S10.Ex79.m1.1">
                  <XMRow>
                    <XMCell align="center">
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN">a</XMTok>
                    </XMCell>
                    <XMCell align="center">
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                    </XMCell>
                  </XMRow>
                  <XMRow>
                    <XMCell align="center">
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN">c</XMTok>
                    </XMCell>
                    <XMCell align="center">
                      <XMTok font="italic" fontsize="70%" role="UNKNOWN">d</XMTok>
                    </XMCell>
                  </XMRow>
                </XMArray>
                <XMTok fontsize="120%" role="CLOSE" stretchy="false">)</XMTok>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S10.p13">
      <equation xml:id="S10.Ex80">
        <Math mode="display" tex="\bigl{(}\begin{matrix}[l]a&amp;b\\&#10;c&amp;d\end{matrix}\bigr{)}" text="matrix@(Array[[a, b], [c, d]])" xml:id="S10.Ex80.m1">
          <XMath>
            <XMDual>
              <XMRef idref="S10.Ex80.m1.2"/>
              <XMWrap>
                <XMTok fontsize="120%" role="OPEN" stretchy="false">(</XMTok>
                <XMDual xml:id="S10.Ex80.m1.2">
                  <XMApp>
                    <XMTok meaning="matrix"/>
                    <XMRef idref="S10.Ex80.m1.1"/>
                  </XMApp>
                  <XMArray xml:id="S10.Ex80.m1.1">
                    <XMRow>
                      <XMCell align="left">
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">a</XMTok>
                      </XMCell>
                      <XMCell align="left">
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
                      </XMCell>
                    </XMRow>
                    <XMRow>
                      <XMCell align="left">
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">c</XMTok>
                      </XMCell>
                      <XMCell align="left">
                        <XMTok font="italic" fontsize="70%" role="UNKNOWN">d</XMTok>
                      </XMCell>
                    </XMRow>
                  </XMArray>
                </XMDual>
                <XMTok fontsize="120%" role="CLOSE" stretchy="false">)</XMTok>
              </XMWrap>
            </XMDual>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S10.p14">
      <equation xml:id="S10.Ex81">
        <Math mode="display" tex="\sum_{\begin{subarray}{l}i\in\Lambda\\&#10;0&lt;j&lt;n\end{subarray}}P(i,j)" text="(sum _ (list@(Array[[i element-of Lambda], [0 &lt; j &lt; n]])))@(P * open-interval@(i, j))" xml:id="S10.Ex81.m1">
          <XMath>
            <XMApp>
              <XMApp scriptpos="mid">
                <XMTok role="SUBSCRIPTOP" scriptpos="mid1"/>
                <XMTok mathstyle="display" meaning="sum" role="SUMOP" scriptpos="mid">∑</XMTok>
                <XMDual>
                  <XMApp>
                    <XMTok meaning="list"/>
                    <XMRef idref="S10.Ex81.m1.1"/>
                  </XMApp>
                  <XMArray rowsep="0pt" xml:id="S10.Ex81.m1.1">
                    <XMRow>
                      <XMCell align="left">
                        <XMApp>
                          <XMTok fontsize="70%" meaning="element-of" name="in" role="RELOP">∈</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
                          <XMTok fontsize="70%" name="Lambda" role="UNKNOWN">Λ</XMTok>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                    <XMRow>
                      <XMCell align="left">
                        <XMApp>
                          <XMTok meaning="multirelation"/>
                          <XMTok fontsize="70%" meaning="0" role="NUMBER">0</XMTok>
                          <XMTok fontsize="70%" meaning="less-than" role="RELOP">&lt;</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
                          <XMTok fontsize="70%" meaning="less-than" role="RELOP">&lt;</XMTok>
                          <XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
                        </XMApp>
                      </XMCell>
                    </XMRow>
                  </XMArray>
                </XMDual>
              </XMApp>
              <XMApp>
                <XMTok meaning="times" role="MULOP">⁢</XMTok>
                <XMTok font="italic" role="UNKNOWN">P</XMTok>
                <XMDual>
                  <XMApp>
                    <XMTok meaning="open-interval"/>
                    <XMRef idref="S10.Ex81.m1.2"/>
                    <XMRef idref="S10.Ex81.m1.3"/>
                  </XMApp>
                  <XMWrap>
                    <XMTok role="OPEN" stretchy="false">(</XMTok>
                    <XMTok font="italic" role="UNKNOWN" xml:id="S10.Ex81.m1.2">i</XMTok>
                    <XMTok role="PUNCT">,</XMTok>
                    <XMTok font="italic" role="UNKNOWN" xml:id="S10.Ex81.m1.3">j</XMTok>
                    <XMTok role="CLOSE" stretchy="false">)</XMTok>
                  </XMWrap>
                </XMDual>
              </XMApp>
            </XMApp>
          </XMath>
        </Math>
      </equation>
    </para>
    <para xml:id="S10.p15">
      <equationgroup class="ltx_eqn_eqnarray" rowsep="30.0pt" xml:id="S12.EGx9">
        <equation xml:id="S10.E25">
          <tags>
            <tag>(25)</tag>
            <tag role="refnum">25</tag>
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          <MathFork>
            <Math tex="\displaystyle y=ax^{2}+bx+c" text="y = a * x ^ 2 + b * x + c" xml:id="S10.E25.m4">
              <XMath>
                <XMApp>
                  <XMTok meaning="equals" role="RELOP">=</XMTok>
                  <XMTok font="italic" role="UNKNOWN">y</XMTok>
                  <XMApp>
                    <XMTok meaning="plus" role="ADDOP">+</XMTok>
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMTok font="italic" role="UNKNOWN">a</XMTok>
                      <XMApp>
                        <XMTok role="SUPERSCRIPTOP" scriptpos="post2"/>
                        <XMTok font="italic" role="UNKNOWN">x</XMTok>
                        <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                      </XMApp>
                    </XMApp>
                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMTok font="italic" role="UNKNOWN">b</XMTok>
                      <XMTok font="italic" role="UNKNOWN">x</XMTok>
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                    <XMTok font="italic" role="UNKNOWN">c</XMTok>
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            </Math>
            <MathBranch>
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                    <XMath>
                      <XMTok font="italic" role="UNKNOWN">y</XMTok>
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                <td align="center"><Math mode="inline" tex="\displaystyle=" text="=" xml:id="S10.E25.m2">
                    <XMath>
                      <XMTok meaning="equals" role="RELOP">=</XMTok>
                    </XMath>
                  </Math></td>
                <td align="left"><Math mode="inline" tex="\displaystyle ax^{2}+bx+c" text="a * x ^ 2 + b * x + c" xml:id="S10.E25.m3">
                    <XMath>
                      <XMApp>
                        <XMTok meaning="plus" role="ADDOP">+</XMTok>
                        <XMApp>
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                          <XMTok font="italic" role="UNKNOWN">a</XMTok>
                          <XMApp>
                            <XMTok role="SUPERSCRIPTOP" scriptpos="post2"/>
                            <XMTok font="italic" role="UNKNOWN">x</XMTok>
                            <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                          </XMApp>
                        </XMApp>
                        <XMApp>
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok font="italic" role="UNKNOWN">b</XMTok>
                          <XMTok font="italic" role="UNKNOWN">x</XMTok>
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                        <XMTok font="italic" role="UNKNOWN">c</XMTok>
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        <equation xml:id="S10.E26">
          <tags>
            <tag>(26)</tag>
            <tag role="refnum">26</tag>
          </tags>
          <MathFork>
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              <XMath>
                <XMApp>
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                  <XMApp>
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
                    <XMTok font="italic" role="UNKNOWN">f</XMTok>
                    <XMDual>
                      <XMRef idref="S10.E26.m4.1"/>
                      <XMWrap>
                        <XMTok role="OPEN" stretchy="false">(</XMTok>
                        <XMTok font="italic" role="UNKNOWN" xml:id="S10.E26.m4.1">x</XMTok>
                        <XMTok role="CLOSE" stretchy="false">)</XMTok>
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                  <XMApp>
                    <XMTok meaning="plus" role="ADDOP">+</XMTok>
                    <XMApp>
                      <XMTok role="SUPERSCRIPTOP" scriptpos="post2"/>
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                      <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
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                    <XMApp>
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMTok meaning="2" role="NUMBER">2</XMTok>
                      <XMTok font="italic" role="UNKNOWN">x</XMTok>
                      <XMTok font="italic" role="UNKNOWN">y</XMTok>
                    </XMApp>
                    <XMApp>
                      <XMTok role="SUPERSCRIPTOP" scriptpos="post2"/>
                      <XMTok font="italic" role="UNKNOWN">y</XMTok>
                      <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
                    </XMApp>
                  </XMApp>
                </XMApp>
              </XMath>
            </Math>
            <MathBranch>
              <tr>
                <td align="right"><Math mode="inline" tex="\displaystyle f(x)" text="f * x" xml:id="S10.E26.m1">
                    <XMath>
                      <XMApp>
                        <XMTok meaning="times" role="MULOP">⁢</XMTok>
                        <XMTok font="italic" role="UNKNOWN">f</XMTok>
                        <XMDual>
                          <XMRef idref="S10.E26.m1.1"/>
                          <XMWrap>
                            <XMTok role="OPEN" stretchy="false">(</XMTok>
                            <XMTok font="italic" role="UNKNOWN" xml:id="S10.E26.m1.1">x</XMTok>
                            <XMTok role="CLOSE" stretchy="false">)</XMTok>
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                        </XMDual>
                      </XMApp>
                    </XMath>
                  </Math></td>
                <td align="center"><Math mode="inline" tex="\displaystyle=" text="=" xml:id="S10.E26.m2">
                    <XMath>
                      <XMTok meaning="equals" role="RELOP">=</XMTok>
                    </XMath>
                  </Math></td>
                <td align="left"><Math mode="inline" tex="\displaystyle x^{2}+2xy+y^{2}" text="x ^ 2 + 2 * x * y + y ^ 2" xml:id="S10.E26.m3">
                    <XMath>
                      <XMApp>
                        <XMTok meaning="plus" role="ADDOP">+</XMTok>
                        <XMApp>
                          <XMTok role="SUPERSCRIPTOP" scriptpos="post2"/>
                          <XMTok font="italic" role="UNKNOWN">x</XMTok>
                          <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
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                        <XMApp>
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok meaning="2" role="NUMBER">2</XMTok>
                          <XMTok font="italic" role="UNKNOWN">x</XMTok>
                          <XMTok font="italic" role="UNKNOWN">y</XMTok>
                        </XMApp>
                        <XMApp>
                          <XMTok role="SUPERSCRIPTOP" scriptpos="post2"/>
                          <XMTok font="italic" role="UNKNOWN">y</XMTok>
                          <XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
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                      </XMApp>
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              </tr>
            </MathBranch>
          </MathFork>
        </equation>
      </equationgroup>
    </para>
    <para xml:id="S10.p16">
      <equation xml:id="S10.Ex82">
        <Math mode="display" tex="\begin{multlined}\displaystyle\boxed{Firstline}\\&#10;\displaystyle\boxed{Secondline}\\&#10;\displaystyle L+E+F+T\\&#10;\displaystyle R+I+G+H+T\\&#10;\displaystyle L+E+F+T\\&#10;\displaystyle R+I+G+H+T\\&#10;\displaystyle\boxed{WupWup}\\&#10;\displaystyle\boxed{Lastline}\end{multlined}\displaystyle\boxed{Firstline}\\&#10;\displaystyle\boxed{Secondline}\\&#10;\displaystyle L+E+F+T\\&#10;\displaystyle R+I+G+H+T\\&#10;\displaystyle L+E+F+T\\&#10;\displaystyle R+I+G+H+T\\&#10;\displaystyle\boxed{WupWup}\\&#10;\displaystyle\boxed{Lastline}" text="F * i * r * s * t * l * i * n * e * S * e * c * o * n * d * l * i * n * e * L + E + F + T * R + I + G + H + T * L + E + F + T * R + I + G + H + T * W * u * p * W * u * p * L * a * s * t * l * i * n * e" xml:id="S10.Ex82.m1">
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                  <XMRef idref="S10.Ex82.m1.2"/>
                  <XMRef idref="S10.Ex82.m1.3"/>
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                <XMApp>
                  <XMTok meaning="times" role="MULOP">⁢</XMTok>
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                <XMRef idref="S10.Ex82.m1.12"/>
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                <XMApp>
                  <XMTok meaning="times" role="MULOP">⁢</XMTok>
                  <XMRef idref="S10.Ex82.m1.18"/>
                  <XMRef idref="S10.Ex82.m1.19"/>
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                <XMRef idref="S10.Ex82.m1.21"/>
                <XMRef idref="S10.Ex82.m1.23"/>
                <XMApp>
                  <XMTok meaning="times" role="MULOP">⁢</XMTok>
                  <XMRef idref="S10.Ex82.m1.25"/>
                  <XMRef idref="S10.Ex82.m1.26"/>
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                <XMRef idref="S10.Ex82.m1.28"/>
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                <XMApp>
                  <XMTok meaning="times" role="MULOP">⁢</XMTok>
                  <XMRef idref="S10.Ex82.m1.34"/>
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              </XMApp>
              <XMArray name="multlined" vattach="middle" width="433.6pt">
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                  <XMCell align="left">
                    <XMApp enclose="box" xml:id="S10.Ex82.m1.1">
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMTok font="italic" role="UNKNOWN">F</XMTok>
                      <XMTok font="italic" role="UNKNOWN">i</XMTok>
                      <XMTok font="italic" role="UNKNOWN">r</XMTok>
                      <XMTok font="italic" role="UNKNOWN">s</XMTok>
                      <XMTok font="italic" role="UNKNOWN">t</XMTok>
                      <XMTok font="italic" role="UNKNOWN">l</XMTok>
                      <XMTok font="italic" role="UNKNOWN">i</XMTok>
                      <XMTok font="italic" role="UNKNOWN">n</XMTok>
                      <XMTok font="italic" role="UNKNOWN">e</XMTok>
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                <XMRow>
                  <XMCell align="center">
                    <XMApp enclose="box" xml:id="S10.Ex82.m1.2">
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMTok font="italic" role="UNKNOWN">S</XMTok>
                      <XMTok font="italic" role="UNKNOWN">e</XMTok>
                      <XMTok font="italic" role="UNKNOWN">c</XMTok>
                      <XMTok font="italic" role="UNKNOWN">o</XMTok>
                      <XMTok font="italic" role="UNKNOWN">n</XMTok>
                      <XMTok font="italic" role="UNKNOWN">d</XMTok>
                      <XMTok font="italic" role="UNKNOWN">l</XMTok>
                      <XMTok font="italic" role="UNKNOWN">i</XMTok>
                      <XMTok font="italic" role="UNKNOWN">n</XMTok>
                      <XMTok font="italic" role="UNKNOWN">e</XMTok>
                    </XMApp>
                  </XMCell>
                </XMRow>
                <XMRow>
                  <XMCell align="left">
                    <XMApp>
                      <XMTok meaning="plus" role="ADDOP" xml:id="S10.Ex82.m1.4">+</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.Ex82.m1.3">L</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.Ex82.m1.5">E</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.Ex82.m1.7">F</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.Ex82.m1.9">T</XMTok>
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                  </XMCell>
                </XMRow>
                <XMRow>
                  <XMCell align="right">
                    <XMApp>
                      <XMTok meaning="plus" role="ADDOP" xml:id="S10.Ex82.m1.11">+</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.Ex82.m1.10">R</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.Ex82.m1.12">I</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.Ex82.m1.14">G</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.Ex82.m1.16">H</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.Ex82.m1.18">T</XMTok>
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                </XMRow>
                <XMRow>
                  <XMCell align="left">
                    <XMApp>
                      <XMTok meaning="plus" role="ADDOP" xml:id="S10.Ex82.m1.20">+</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.Ex82.m1.19">L</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.Ex82.m1.21">E</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.Ex82.m1.23">F</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.Ex82.m1.25">T</XMTok>
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                  </XMCell>
                </XMRow>
                <XMRow>
                  <XMCell align="right">
                    <XMApp>
                      <XMTok meaning="plus" role="ADDOP" xml:id="S10.Ex82.m1.27">+</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.Ex82.m1.26">R</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.Ex82.m1.28">I</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.Ex82.m1.30">G</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.Ex82.m1.32">H</XMTok>
                      <XMTok font="italic" role="UNKNOWN" xml:id="S10.Ex82.m1.34">T</XMTok>
                    </XMApp>
                  </XMCell>
                </XMRow>
                <XMRow>
                  <XMCell align="center">
                    <XMApp enclose="box" xml:id="S10.Ex82.m1.35">
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMTok font="italic" role="UNKNOWN">W</XMTok>
                      <XMTok font="italic" role="UNKNOWN">u</XMTok>
                      <XMTok font="italic" role="UNKNOWN">p</XMTok>
                      <XMTok font="italic" role="UNKNOWN">W</XMTok>
                      <XMTok font="italic" role="UNKNOWN">u</XMTok>
                      <XMTok font="italic" role="UNKNOWN">p</XMTok>
                    </XMApp>
                  </XMCell>
                </XMRow>
                <XMRow>
                  <XMCell align="right">
                    <XMApp enclose="box" xml:id="S10.Ex82.m1.36">
                      <XMTok meaning="times" role="MULOP">⁢</XMTok>
                      <XMTok font="italic" role="UNKNOWN">L</XMTok>
                      <XMTok font="italic" role="UNKNOWN">a</XMTok>
                      <XMTok font="italic" role="UNKNOWN">s</XMTok>
                      <XMTok font="italic" role="UNKNOWN">t</XMTok>
                      <XMTok font="italic" role="UNKNOWN">l</XMTok>
                      <XMTok font="italic" role="UNKNOWN">i</XMTok>
                      <XMTok font="italic" role="UNKNOWN">n</XMTok>
                      <XMTok font="italic" role="UNKNOWN">e</XMTok>
                    </XMApp>
                  </XMCell>
                </XMRow>
              </XMArray>
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          </XMath>
        </Math>
      </equation>
    </para>
  </section>
  <section inlist="toc" xml:id="S11">
    <tags>
      <tag>11</tag>
      <tag role="refnum">11</tag>
      <tag role="typerefnum">§11</tag>
    </tags>
    <title><tag close=" ">11</tag>Stepped lines</title>
    <para xml:id="S11.p1">
      <equation xml:id="S11.Ex83">
        <Math mode="display" tex="\begin{gathered}\displaystyle\text{\hbox to 0.0pt{1}$*$\quad\hfil}x=1,\quad x+%&#10;1=2\text{\quad{over}}\\&#10;\displaystyle\text{\hbox to 0.0pt{2}$*$\quad\hfil}y=2\text{\quad{over}}\end{gathered}" text="[1*  ]@x@=@1@,@quad@x@+@1@=@2@[ over]@[2*  ]@y@=@2@[ over]" xml:id="S11.Ex83.m1">
          <XMath>
            <XMDual>
              <XMWrap rule="Anything,">
                <XMRef idref="S11.Ex83.m1.1"/>
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                <XMRef idref="S11.Ex83.m1.3"/>
                <XMRef idref="S11.Ex83.m1.4"/>
                <XMRef idref="S11.Ex83.m1.5"/>
                <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
                <XMRef idref="S11.Ex83.m1.6"/>
                <XMRef idref="S11.Ex83.m1.7"/>
                <XMRef idref="S11.Ex83.m1.8"/>
                <XMRef idref="S11.Ex83.m1.9"/>
                <XMRef idref="S11.Ex83.m1.10"/>
                <XMRef idref="S11.Ex83.m1.11"/>
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              <XMArray name="stargathered">
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                  <XMCell align="right">
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                      <XMApp xml:id="S11.Ex83.m1.17">
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                        <XMApp>
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMText xml:id="S11.Ex83.m1.1"><text width="0.0pt">1</text><Math mode="inline" tex="*" text="*" xml:id="S11.Ex83.m1.m1">
                              <XMath>
                                <XMTok meaning="times" role="MULOP">*</XMTok>
                              </XMath>
                            </Math>  </XMText>
                          <XMTok font="italic" role="UNKNOWN" xml:id="S11.Ex83.m1.2">x</XMTok>
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                        <XMTok meaning="1" role="NUMBER" xml:id="S11.Ex83.m1.4">1</XMTok>
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                      <XMTok role="PUNCT" rpadding="10.0pt" xml:id="S11.Ex83.m1.5">,</XMTok>
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                        <XMTok meaning="equals" role="RELOP" xml:id="S11.Ex83.m1.9">=</XMTok>
                        <XMApp>
                          <XMTok meaning="plus" role="ADDOP" xml:id="S11.Ex83.m1.7">+</XMTok>
                          <XMTok font="italic" role="UNKNOWN" xml:id="S11.Ex83.m1.6">x</XMTok>
                          <XMTok meaning="1" role="NUMBER" xml:id="S11.Ex83.m1.8">1</XMTok>
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                        <XMApp>
                          <XMTok meaning="times" role="MULOP">⁢</XMTok>
                          <XMTok meaning="2" role="NUMBER" xml:id="S11.Ex83.m1.10">2</XMTok>
                          <XMText xml:id="S11.Ex83.m1.11"> <text font="bold">over</text></XMText>
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                  </XMCell>
                </XMRow>
                <XMRow>
                  <XMCell align="right">
                    <XMApp>
                      <XMTok meaning="equals" role="RELOP" xml:id="S11.Ex83.m1.14">=</XMTok>
                      <XMApp>
                        <XMTok meaning="times" role="MULOP">⁢</XMTok>
                        <XMText xml:id="S11.Ex83.m1.12"><text width="0.0pt">2</text><Math mode="inline" tex="*" text="*" xml:id="S11.Ex83.m1.m2">
                            <XMath>
                              <XMTok meaning="times" role="MULOP">*</XMTok>
                            </XMath>
                          </Math>  </XMText>
                        <XMTok font="italic" role="UNKNOWN" xml:id="S11.Ex83.m1.13">y</XMTok>
                      </XMApp>
                      <XMApp>
                        <XMTok meaning="times" role="MULOP">⁢</XMTok>
                        <XMTok meaning="2" role="NUMBER" xml:id="S11.Ex83.m1.15">2</XMTok>
                        <XMText xml:id="S11.Ex83.m1.16"> <text font="bold">over</text></XMText>
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          </XMath>
        </Math>
      </equation>
      <p>42</p>
    </para>
    <para xml:id="S11.p2">
      <equation xml:id="S11.Ex84">
        <Math mode="display" tex="\begin{gathered}\displaystyle\text{See:}s=2.8,\quad s+0.2=3\text{the end}\\&#10;\displaystyle\text{See:}t=4.5\text{the end}\end{gathered}" text="[See:]@s@=@2.8@,@quad@s@+@0.2@=@3@[the end]@[See:]@t@=@4.5@[the end]" xml:id="S11.Ex84.m1">
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                <XMRef idref="S11.Ex84.m1.5"/>
                <XMTok font="italic" name="quad" role="PUNCT"> </XMTok>
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                <XMRef idref="S11.Ex84.m1.8"/>
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      <p>1337</p>
    </para>
  </section>
  <section inlist="toc" xml:id="S12">
    <tags>
      <tag>12</tag>
      <tag role="refnum">12</tag>
      <tag role="typerefnum">§12</tag>
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    <title><tag close=" ">12</tag>Shifting equations</title>
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</document>
