unimodal sequence

[‚yü·nə‚mōd·əl ′sē·kwəns]

(mathematics)

A finite sequence of n real numbers, a₁, a₂, …, a_n, for which there is a positive integer, j, greater than 1 and less than n, such that a_iis greater than a_i-1for i greater than 1 and less than j, a_jis greater than or equal to a_j-1, and a_iis less than a_i-1for i greater than j and equal to or less than n.

References in periodicals archive ?

We say that X is parallel unimodal if the fundamental sequence of X is a unimodal sequence; we also say that X is parallel symmetric if the fundamental sequence of X is a symmetric sequence.

Parallel rank of two sandpile models of signed integer partitions

Brenti, Log-concave and unimodal sequences in algebra, combinatorics, and geometry: an update, in Contemp.

Stanley, Log-concave and unimodal sequences in algebra, combinatorics, and geometry, in Ann.