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Farey sequence

In mathematics, the Farey sequence of order n is the sequence of completely reduced fractions, either between 0 and 1, or without this restriction, which have denominators less than or equal to n, arranged in order of increasing size.

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Farey sequence

Nodes54
Edges53
Triples109
Avg. degree1.96
Density0.037037
Components1

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Farey sequence

Top relations

related to Further reading · 50
Farey sequence → Acta Univ, Addison-Wesley, Alexandru, Allen, American Mathematical Society, Andrey, Apulensis, Apulensis Math, Berlin, Bonus Problem, Boston, Cobeli, Code, Concrete Mathematics, Cristian, DE, De Gruyter, Donald, Duality, Errata
related to history · 13
Farey sequence → British, Cauchy, Charles Haros, Exercices, Farey, Farey's, In, John Farey, Philosophical Magazine, Sr, Stigler's, This, Thus
related to Sequence length and index of a fraction · 9
Farey sequence → Euler's, F5, Farey, Fn, From, In, The, The Farey, Thus F6
related to Farey sunburst · 7
Farey sequence → F6, Farey, Fn, Plotting, Reflecting, The Farey, Using Pick's
related to Riemann hypothesis · 7
Farey sequence → Define, Farey, Fn, In, Jérôme Franel, Riemann, Suppose
related to Ford circles · 6
Farey sequence → Farey, For, Ford, If, There, Two Ford
related to Farey neighbours and continued fractions · 5
Farey sequence → Every, Farey, Fq, Fractions, If
has application · 4
Farey sequence → Eliahou, Farey, For, In
related to Farey neighbours · 4
Farey sequence → Farey, Fractions, If, Since
related to Other sums involving Farey fractions · 3
Farey sequence → Euler's, Farey, The

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Important terminology

farey displaystyle sequence fractions frac sum fn fraction order terms sequences number neighbours denominators function term right two varphi left

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Farey sequencehas applicationFarey0.60section
Farey sequencehas applicationFor0.60section
Farey sequencehas applicationEliahou0.60section
Farey sequencehas applicationIn0.60section
Farey sequencerelated to ExamplesThe Farey0.60section
Farey sequencerelated to Farey neighboursFractions0.60section
Farey sequencerelated to Farey neighboursFarey0.60section
Farey sequencerelated to Farey neighboursIf0.60section
Farey sequencerelated to Farey neighboursSince0.60section
Farey sequencerelated to Farey neighbours and continued fractionsFractions0.60section
Farey sequencerelated to Farey neighbours and continued fractionsFarey0.60section
Farey sequencerelated to Farey neighbours and continued fractionsEvery0.60section

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