nonbasic

Nonbasic is an adjective formed by prefixing non- to basic, generally meaning not basic, not fundamental, or not part of the core set in a given context. The precise sense depends on the field, but the overarching idea is the absence from a defined base or primary group.

In mathematics and operations research, nonbasic variables are a standard term in the simplex method for linear programming. When a problem’s variables are partitioned into a basic set and a nonbasic set, the basic variables are solved from Ax = b while the nonbasic variables are typically set to zero in the current basic feasible solution. Pivot operations move variables between the basic and nonbasic sets, allowing the solution to move along feasible directions and potentially improve the objective value.

Beyond formal domains, nonbasic describes components, features, or considerations that are not part of the essential or primary set. For example, nonbasic skills can refer to abilities not required for a core task, and nonbasic inputs or components denote elements considered nonessential for a given configuration or decision. The term is often used to contrast with basic or core elements to emphasize a lesser degree of importance in a particular context.

In practice, nonbasic is most common in technical or analytical discussions. Its exact meaning should be inferred from context, since it can vary between disciplines or scenarios.