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Summation Notation - Welcome | Computer Science

Notes on summations and related topicsJames AspnesDecember 13, 20101 SummationsSummations are the discrete versions of integrals; given a sequencexa,xa+1,..,xb,its sumxa+xa+1+ +xbis written as bi= large jagged symbol is a stretched-out version of a capital Greek lettersigma. The variableiis called theindex of Summation ,ais thelower boundorlower limit, andbis theupper boundorupper limit. Mathematiciansinvented this Notation centuries ago because they didn t haveforloops; theintent is that you loop through all values ofifromatob(including bothendpoints), summing up the body of the Summation for < a, then the sum is zero.

sigma. The variable iis called the index of summation, ais the lower bound or lower limit, and bis the upper bound or upper limit. Mathematicians invented this notation centuries ago because they didn’t have for loops; the intent is that you loop through all values of i …

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