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Prefix sum

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:

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Overview

Scan higher order function

Parallel algorithms

Data structures

Applications

Advanced semantic analysis

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Map overview Semantic statistics

Prefix sum

Nodes85
Edges84
Triples39
Avg. degree1.98
Density0.023529
Components1

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Prefix sum

Top relations

related to Discussion · 9
Prefix sum → Algorithm, Consequently, Each, For, GPU, However, Parallel, The, Uzi Vishkin
related to Data structures · 7
Prefix sum → Fenwick, For, However, Partial Sums Tree, Section, This, When
has application · 4
Prefix sum → Counting, Euler, It, List
related to Algorithm 2: Work-efficient · 4
Prefix sum → After, Compute, Express, Recursively
related to Algorithm 1: Shorter span, more parallel · 3
Prefix sum → Hillis, In, Steele
related to Parallel algorithms · 3
Prefix sum → The, There, These
related to Scan higher order function · 3
Prefix sum → Both, For, In
related to Concrete implementations of prefix sum algorithms · 2
Prefix sum → An, More

Important terminology Word statistics

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Important terminology

prefix sum parallel algorithm sums algorithms scan displaystyle used number sequence binary two pes value also left log time elements

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
counting sortinstance ofprefix sums are a useful primitive in certain algorithms0.80text
and they form the basis of the scan higher-order function in functional programming languagesinstance ofprefix sums are a useful primitive in certain algorithms0.80text
a GPUinstance ofand they can also be computed efficiently on modern parallel hardware0.80text
the Connection Machineinstance ofparallel prefix operations form part of the formalization of the data parallelism model provided by machines0.80text
Prefix sumhas applicationCounting0.60section
Prefix sumhas applicationIt0.60section
Prefix sumhas applicationList0.60section
Prefix sumhas applicationEuler0.60section
Prefix sumrelated to Algorithm 1: Shorter span, more parallelHillis0.60section
Prefix sumrelated to Algorithm 1: Shorter span, more parallelSteele0.60section
Prefix sumrelated to Algorithm 1: Shorter span, more parallelIn0.60section
Prefix sumrelated to Algorithm 2: Work-efficientCompute0.60section

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