Farey sequence

[ fair-ee ]

/ ˈfɛər i /

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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.

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”?

First appeared around 1750, and is related to the French word “braguette” for the name of codpiece armor.

First appeared in 1610, based on the French word “baguette” for the long loaf of bread.

First appeared in 1555, and is related to the French word “raquette” for a netted bat.

TAKE THE QUIZ TO FIND OUT

Origin of Farey sequence

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

Words nearby Farey sequence

fare-thee-well, farewell, farewell address, Farewell Address, Washington's, farewell-to-spring, Farey sequence, farfalle, far-famed, farfel, far-fetched, far-flung

Example sentences from the Web for Farey sequence

And with the dance sequence, we wanted something very physical.
Coffee Talk with Fred Armisen: On ‘Portlandia,’ Meeting Obama, and Taylor Swift’s Greatness|Marlow Stern|January 7, 2015|DAILY BEAST
So too with a vaccine that provokes a specific immune response aimed at a specific RNA sequence.
When You Get the Flu This Winter, You Can Blame Anti-Vaxxers|Kent Sepkowitz|January 1, 2015|DAILY BEAST
The studio seemed to be satisfied with the results—although still opted to censor the death sequence in many foreign territories.
Exclusive: Sony Emails Say State Department Blessed Kim Jong-Un Assassination in ‘The Interview’|William Boot|December 17, 2014|DAILY BEAST
Movie buffs have commented endlessly on the bell-tower sequence in Vertigo.
Alfred Hitchcock’s Fade to Black: The Great Director’s Final Days|David Freeman|December 13, 2014|DAILY BEAST

The central thrust of the sequence derives from historical fact.
Alfred Hitchcock’s Fade to Black: The Great Director’s Final Days|David Freeman|December 13, 2014|DAILY BEAST
First I had better fix the sequence of the munition cables, for upon them the whole attack has hung—or rather, hung fire.
Gallipoli Diary, Volume I|Ian Hamilton
Naturally and without the least effort the aptest words sprang to his lips in perfect order and sequence.
Fifty Years of Railway Life in England, Scotland and Ireland|Joseph Tatlow
But here it is arranged in temporal sequence, thus giving us a concrete view of the man and his relation to this society.
Repertory Of The Comedie Humaine, Complete, A -- Z|Anatole Cerfberr and Jules Franois Christophe
Five years of warfare and its sequence—the bandit community—had devastated the provinces.
The Philippine Islands|John Foreman
And still the grizzled old skipper would go on, though it was touch-and-go every time a sequence of strong seas came howling down.
The Chequers|James Runciman

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