nonincrease
Nonincrease, commonly written nonincreasing, is a term used in mathematics to describe a quantity that does not increase as its input grows. The word can function as both a noun (the property of nonincreasing) and an adjective (a nonincreasing sequence or function).
In sequences, a sequence (a_n) is nonincreasing if a_{n+1} ≤ a_n for every index n. Such sequences may
In the context of functions, a function f defined on an ordered set is nonincreasing if x
Nonincrease is a specific instance of monotonicity and is important in analysis, optimization, and algorithm design.