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In
mathematics
,
summation by parts
transforms the
summation
of products of sequences into other summations, often simplifying the computation of certain types of sums. The rule states:
Suppose and are two sequences. Then,
Using the
difference operator
, it can be stated as more succinctly as
as an analogue to the
integration by parts
formula,
The summation by parts formula is sometimes called
Abel's lemma
.
External link
"Abel's lemma" article at PlanetMath.org