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Low-discrepancy sequence

In mathematics, a low-discrepancy sequence is a sequence with the property that for all values of N {\displaystyle N} , its subsequence x 1 , … , x N {\displaystyle x_{1},\ldots ,x_{N}} has a low discrepancy.

Applications, Construction of low-discrepancy sequences & The Koksma–Hlawka inequality

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Applications

19 related topics

Construction of low-discrepancy sequences

22 related topics

The Koksma–Hlawka inequality

5 related topics

Definition of discrepancy

3 related topics

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Overview

Applications

Definition of discrepancy

The Koksma–Hlawka inequality

The L2 version of the Koksma–Hlawka inequality

The Erdős–Turán–Koksma inequality

The main conjectures

Lower bounds

Construction of low-discrepancy sequences

Graphical examples

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Map overview Semantic statistics

Low-discrepancy sequence

Nodes79
Edges78
Triples25
Avg. degree1.97
Density0.025316
Components1

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Low-discrepancy sequence

Top relations

related to Construction of low-discrepancy sequences · 11
Low-discrepancy sequence → After Conjecture, Because, Corput, Examples, Halton, Monte-Carlo, One, Practically, Sobol, There, This
related to Graphical examples · 7
Low-discrepancy sequence → An, For, Fortran, Netlib, Sobol, The, TOMS
related to Low-discrepancy sequences in numerical integration · 5
Low-discrepancy sequence → Hlawka, If, Koksma, Monte Carlo, Various
is a · 1
Low-discrepancy sequence → sequence with the property that for all values of N

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Important terminology

displaystyle discrepancy set sequence frac ldots numbers dots point random points low-discrepancy leq quasirandom sequences sum geq used also number

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Low-discrepancy sequenceis asequence with the property that for all values of N0.90text
the quasi-Monte Carlo method their lower discrepancy is an important advantageinstance ofbut such sequences share some properties of random variables and in certain applications0.80text
Low-discrepancy sequencerelated to Construction of low-discrepancy sequencesBecause0.60section
Low-discrepancy sequencerelated to Construction of low-discrepancy sequencesThere0.60section
Low-discrepancy sequencerelated to Construction of low-discrepancy sequencesAfter Conjecture0.60section
Low-discrepancy sequencerelated to Construction of low-discrepancy sequencesExamples0.60section
Low-discrepancy sequencerelated to Construction of low-discrepancy sequencesCorput0.60section
Low-discrepancy sequencerelated to Construction of low-discrepancy sequencesHalton0.60section
Low-discrepancy sequencerelated to Construction of low-discrepancy sequencesSobol0.60section
Low-discrepancy sequencerelated to Construction of low-discrepancy sequencesOne0.60section
Low-discrepancy sequencerelated to Construction of low-discrepancy sequencesPractically0.60section
Low-discrepancy sequencerelated to Construction of low-discrepancy sequencesThis0.60section

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