piecewisedefined
PiecewiseDefined, or piecewise-defined, describes a function that is defined by different expressions on different parts of its domain. Such functions are common in mathematics and are used to model situations where a single rule does not apply uniformly across all inputs. The term may appear in textbooks, lecture notes, or online resources, and in some cases the concatenated form piecewisedefined is seen as a keyword or handle in search queries and domain names.
Notation and presentation often use case notation or braces to list the rules. A typical form is:
Key considerations for piecewise-defined functions include continuity and differentiability at the transition points. The function is
See also: piecewise function, Heaviside step function, discontinuity, piecewise-linear modeling.