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File:StrictContent/SequencesAndSeries/sum/rec-sum1
CVS-ID:
Author:MathML 2 Recomendation
Description:

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Created by: webeq

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sum integer_interval a b lambda x f fn x sum suchthat R lambda x in x B set lambda x f fn x

Source Code:

<math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <csymbol cd="arith1">sum</csymbol>
            <apply>
               <csymbol cd="interval1">integer_interval</csymbol>
               <ci>a</ci>
               <ci>b</ci>
            </apply>
            <bind>
               <csymbol cd="fns1">lambda</csymbol>
               <bvar>
                  <ci>x</ci>
               </bvar>
               <apply>
                  <semantics>
                     <ci>f</ci>
                     <annotation-xml cd="mathmltypes" name="type" encoding="MathML-Content">
                        <ci>fn</ci>
                     </annotation-xml>
                  </semantics>
                  <ci>x</ci>
               </apply>
            </bind>
         </apply>
         <apply>
            <csymbol cd="arith1">sum</csymbol>
            <apply>
               <csymbol cd="set1">suchthat</csymbol>
               <ci>R</ci>
               <bind>
                  <csymbol cd="fns1">lambda</csymbol>
                  <bvar>
                     <ci>x</ci>
                  </bvar>
                  <apply>
                     <csymbol cd="set1">in</csymbol>
                     <ci>x</ci>
                     <semantics>
                        <ci>B</ci>
                        <annotation-xml cd="mathmltypes" name="type" encoding="MathML-Content">
                           <ci>set</ci>
                        </annotation-xml>
                     </semantics>
                  </apply>
               </bind>
            </apply>
            <bind>
               <csymbol cd="fns1">lambda</csymbol>
               <bvar>
                  <ci>x</ci>
               </bvar>
               <apply>
                  <semantics>
                     <ci>f</ci>
                     <annotation-xml cd="mathmltypes" name="type" encoding="MathML-Content">
                        <ci>fn</ci>
                     </annotation-xml>
                  </semantics>
                  <ci>x</ci>
               </apply>
            </bind>
         </apply>
      </math>