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About: Prefix sum     Goto   Sponge   NotDistinct   Permalink

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Type: yago:WikicatConcurrentAlgorithmsyago:Abstraction100002137yago:Act100030358yago:Activity100407535yago:Algorithm105847438yago:Event100029378yago:Function113783816yago:MathematicalRelation113783581yago:Procedure101023820yago:PsychologicalFeature100023100yago:Relation100031921yago:WikicatHigher-orderFunctionsyago:YagoPermanentlyLocatedEntityyago:Rule105846932 New Facet based on Instances of this Class

In computer science, the prefix sum, cumulative sum, inclusive scan, or simply scan of a sequence of numbers x0, x1, x2, ... is a second sequence of numbers y0, y1, y2, ..., the sums of prefixes (running totals) of the input sequence: y0 = x0y1 = x0 + x1y2 = x0 + x1+ x2... For instance, the prefix sums of the natural numbers are the triangular numbers: Abstractly, a prefix sum requires only a binary associative operator ⊕, making it useful for many applications from calculating well-separated pair decompositions of points to string processing.