Farey sequence

名词 n.
中文释义

英文释义

名词 n.
  1. For a given positive integer n, the sequence of completely reduced fractions between 0 and 1 which, when in lowest terms, have denominators less than or equal to n, arranged in order of increasing size.
    — Students should then see the number of fractions N, in the Farey sequence is equal to #92;phi(2)#43;#92;phi(3)#43;#92;phi(4)#43;#92;dots#43;#92;phi(n), where #92;phi(n) is the number of positive integers less than or equal to n that are relatively prime to n.

词形变化

Farey sequences plural

词源

Named after British geologist John Farey Sr., whose letter about the sequences was published in the Philosophical Magazine in 1816.
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