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Farey sequence

[fair-ee]

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noun Mathematics.

the increasing sequence of fractions in which numerator and denominator have no common divisor other than one and in which the denominator is less than or equal to a given positive integer p. For p = 4, the Farey sequence of order 4 is ⁰/₁, ¹/₄, ¹/₃, ¹/₂, ²/₃, ³/₄, ¹/₁.

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Origin:
after English mathematician John Farey (1766–1826), who proposed the terms of the sequence in 1816

Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2012.
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