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  <section refnum="1" xml:id="S1">
    <title>Integration and Summation</title>
    <para xml:id="S1.p1">
      <equation xml:id="S1.Ex1">
        <Math mode="display" tex="\sum _{{a=0}}^{\infty}f_{a}(c^{a})" xml:id="S1.Ex1.m1" text="((sum _ (a = 0)) ^ infinity)@((f _ a)@(c ^ a))">
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              <XMApp scriptpos="mid">
                <XMTok role="SUPERSCRIPTOP" scriptpos="mid2"/>
                <XMApp scriptpos="mid">
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                  <XMApp>
                    <XMTok meaning="equals" role="RELOP">=</XMTok>
                    <XMTok role="ID" font="italic">a</XMTok>
                    <XMTok meaning="0" role="NUMBER">0</XMTok>
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                </XMApp>
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                  <XMTok role="FUNCTION" font="italic">f</XMTok>
                  <XMTok role="ID" font="italic">a</XMTok>
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                <XMApp>
                  <XMTok role="SUPERSCRIPTOP" scriptpos="post2"/>
                  <XMTok role="ID" font="italic">c</XMTok>
                  <XMTok role="ID" font="italic">a</XMTok>
                </XMApp>
              </XMApp>
            </XMApp>
          </XMath>
        </Math>
      </equation>
      <equation xml:id="S1.Ex2">
        <Math mode="display" tex="\sum _{{a=0}}^{\infty}\sum _{{b=-a}}^{a}f_{a}(c^{a})g_{b}(c^{b})" xml:id="S1.Ex2.m1" text="((sum _ (a = 0)) ^ infinity)@(((sum _ (b = - a)) ^ a)@((f _ a)@(c ^ a) * (g _ b)@(c ^ b)))">
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                <XMTok role="SUPERSCRIPTOP" scriptpos="mid2"/>
                <XMApp scriptpos="mid">
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                  <XMApp>
                    <XMTok meaning="equals" role="RELOP">=</XMTok>
                    <XMTok role="ID" font="italic">a</XMTok>
                    <XMTok meaning="0" role="NUMBER">0</XMTok>
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                </XMApp>
                <XMTok meaning="infinity" name="infty" role="ID">∞</XMTok>
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              <XMApp>
                <XMApp scriptpos="mid">
                  <XMTok role="SUPERSCRIPTOP" scriptpos="mid2"/>
                  <XMApp scriptpos="mid">
                    <XMTok role="SUBSCRIPTOP" scriptpos="mid2"/>
                    <XMTok meaning="sum" role="SUMOP" scriptpos="mid">∑</XMTok>
                    <XMApp>
                      <XMTok meaning="equals" role="RELOP">=</XMTok>
                      <XMTok role="ID" font="italic">b</XMTok>
                      <XMApp>
                        <XMTok meaning="minus" role="ADDOP">-</XMTok>
                        <XMTok role="ID" font="italic">a</XMTok>
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                  <XMTok role="ID" font="italic">a</XMTok>
                </XMApp>
                <XMApp>
                  <XMTok meaning="times" role="MULOP">⁢</XMTok>
                  <XMApp>
                    <XMApp argclose=")" argopen="(">
                      <XMTok role="SUBSCRIPTOP" scriptpos="post2"/>
                      <XMTok role="FUNCTION" font="italic">f</XMTok>
                      <XMTok role="ID" font="italic">a</XMTok>
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                    <XMApp>
                      <XMTok role="SUPERSCRIPTOP" scriptpos="post2"/>
                      <XMTok role="ID" font="italic">c</XMTok>
                      <XMTok role="ID" font="italic">a</XMTok>
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                  </XMApp>
                  <XMApp>
                    <XMApp argclose=")" argopen="(">
                      <XMTok role="SUBSCRIPTOP" scriptpos="post2"/>
                      <XMTok role="FUNCTION" font="italic">g</XMTok>
                      <XMTok role="ID" font="italic">b</XMTok>
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                    <XMApp>
                      <XMTok role="SUPERSCRIPTOP" scriptpos="post2"/>
                      <XMTok role="ID" font="italic">c</XMTok>
                      <XMTok role="ID" font="italic">b</XMTok>
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                  </XMApp>
                </XMApp>
              </XMApp>
            </XMApp>
          </XMath>
        </Math>
      </equation>
      <equation xml:id="S1.Ex3">
        <Math mode="display" tex="\sum _{{a=0}}^{\infty}\sum _{{b=-a}}^{a}\lim _{{c\rightarrow 0}}f_{a}(c^{a})g_{b}(c^{b})" xml:id="S1.Ex3.m1" text="((sum _ (a = 0)) ^ infinity)@(((sum _ (b = - a)) ^ a)@((limit _ (c rightarrow 0))@((f _ a)@(c ^ a) * (g _ b)@(c ^ b))))">
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                <XMApp scriptpos="mid">
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                  <XMApp>
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                    <XMTok role="ID" font="italic">a</XMTok>
                    <XMTok meaning="0" role="NUMBER">0</XMTok>
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                </XMApp>
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              <XMApp>
                <XMApp scriptpos="mid">
                  <XMTok role="SUPERSCRIPTOP" scriptpos="mid2"/>
                  <XMApp scriptpos="mid">
                    <XMTok role="SUBSCRIPTOP" scriptpos="mid2"/>
                    <XMTok meaning="sum" role="SUMOP" scriptpos="mid">∑</XMTok>
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                      <XMTok meaning="equals" role="RELOP">=</XMTok>
                      <XMTok role="ID" font="italic">b</XMTok>
                      <XMApp>
                        <XMTok meaning="minus" role="ADDOP">-</XMTok>
                        <XMTok role="ID" font="italic">a</XMTok>
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                  <XMTok role="ID" font="italic">a</XMTok>
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                    <XMTok meaning="limit" role="LIMITOP" scriptpos="mid">lim</XMTok>
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                  <XMApp>
                    <XMTok meaning="times" role="MULOP">⁢</XMTok>
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                      <XMApp argclose=")" argopen="(">
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                        <XMTok role="FUNCTION" font="italic">f</XMTok>
                        <XMTok role="ID" font="italic">a</XMTok>
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                      <XMApp>
                        <XMTok role="SUPERSCRIPTOP" scriptpos="post2"/>
                        <XMTok role="ID" font="italic">c</XMTok>
                        <XMTok role="ID" font="italic">a</XMTok>
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                    <XMApp>
                      <XMApp argclose=")" argopen="(">
                        <XMTok role="SUBSCRIPTOP" scriptpos="post2"/>
                        <XMTok role="FUNCTION" font="italic">g</XMTok>
                        <XMTok role="ID" font="italic">b</XMTok>
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                      <XMApp>
                        <XMTok role="SUPERSCRIPTOP" scriptpos="post2"/>
                        <XMTok role="ID" font="italic">c</XMTok>
                        <XMTok role="ID" font="italic">b</XMTok>
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        </Math>
      </equation>
    </para>
  </section>
  <section refnum="2" xml:id="S2">
    <title>Operators</title>
    <para xml:id="S2.p1">
      <equation xml:id="S2.Ex4">
        <Math mode="display" tex="Da" xml:id="S2.Ex4.m1" text="D@(a)">
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              <XMTok role="OPERATOR" font="italic">D</XMTok>
              <XMTok role="ID" font="italic">a</XMTok>
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        </Math>
      </equation>
      <equation xml:id="S2.Ex5">
        <Math mode="display" tex="Df" xml:id="S2.Ex5.m1" text="D@(f)">
          <XMath>
            <XMApp>
              <XMTok role="OPERATOR" font="italic">D</XMTok>
              <XMTok role="FUNCTION" font="italic">f</XMTok>
            </XMApp>
          </XMath>
        </Math>
      </equation>
      <equation xml:id="S2.Ex6">
        <Math mode="display" tex="Df(a)" xml:id="S2.Ex6.m1" text="(D@(f))@(a)">
          <XMath>
            <XMApp>
              <XMApp argclose=")" argopen="(">
                <XMTok role="OPERATOR" font="italic">D</XMTok>
                <XMTok role="FUNCTION" font="italic">f</XMTok>
              </XMApp>
              <XMTok role="ID" font="italic">a</XMTok>
            </XMApp>
          </XMath>
        </Math>
      </equation>
      <equation xml:id="S2.Ex7">
        <Math mode="display" tex="DGHf" xml:id="S2.Ex7.m1" text="D@(G@(H@(f)))">
          <XMath>
            <XMApp>
              <XMTok role="OPERATOR" font="italic">D</XMTok>
              <XMApp>
                <XMTok role="OPERATOR" font="italic">G</XMTok>
                <XMApp>
                  <XMTok role="OPERATOR" font="italic">H</XMTok>
                  <XMTok role="FUNCTION" font="italic">f</XMTok>
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            </XMApp>
          </XMath>
        </Math>
      </equation>
      <equation xml:id="S2.Ex8">
        <Math mode="display" tex="DGHf(a)" xml:id="S2.Ex8.m1" text="(D@(G@(H@(f))))@(a)">
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            <XMApp>
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                <XMTok role="OPERATOR" font="italic">D</XMTok>
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                    <XMTok role="OPERATOR" font="italic">H</XMTok>
                    <XMTok role="FUNCTION" font="italic">f</XMTok>
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              <XMTok role="ID" font="italic">a</XMTok>
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          </XMath>
        </Math>
      </equation>
      <equation xml:id="S2.Ex9">
        <Math mode="display" tex="D(a)(b)" xml:id="S2.Ex9.m1" text="(D@(a))@(b)">
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    </para>
  </section>
</document>
