Dictionary.com

Farey sequence

[ fair-ee ]
/ ˈfɛər i /
Save This Word!

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.

QUIZZES

QUIZ YOURSELF ON PARENTHESES AND BRACKETS APLENTY!

Set some time apart to test your bracket symbol knowledge, and see if you can keep your parentheses, squares, curlies, and angles all straight!
Question 1 of 7
Let’s start with some etymology: What are the origins of the typographical word “bracket”?

Origin of Farey sequence

After English mathematician John Farey (1766–1826), who proposed the terms of the sequence in 1816
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2021

Example sentences from the Web for Farey sequence

Book Your Online Tutor Now