nonminimum

Nonminimum is an adjective used to describe something that is not the minimum. In technical writing, it appears in compounds such as nonminimum value, nonminimum descriptor, or nonminimum-phase system, and may be written as “nonminimum” or “non-minimum” depending on style guide. The term denotes the complement of the minimum within a specified set, domain, or context.

In mathematics and optimization, a nonminimum point refers to a point whose associated objective value is not the smallest among a considered neighborhood or set. Such a point can be a local maximum, a saddle point, or a point on a flat region where the function value is equal to nearby points but not the minimum. For example, in the finite set {2, 3, 5}, the minimum is 2, while 3 and 5 are nonminimum values.

Usage and scope can vary by field. In some contexts nonminimum is contrasted with minimum or minimum value; in others, writers prefer phrases like not the minimum or non-minimum to avoid ambiguity. The term is more common in compact technical expressions than in everyday language, and its precise meaning depends on the defined set or region under consideration.

See also:

- minimum

- nonminimum phase

- local minimum

- global minimum

- saddle point

- not minimum