Local property
- Category
- STANDARD MATHEMATICS
- Definition
- A property determined by behaviour in a neighbourhood or infinitesimal region.
- Math Level
- GENERAL
Local property
A local property is determined by behaviour at one point or within a sufficiently small neighbourhood, rather than by the behaviour of an entire object or domain.
Derivatives and curvature are typical examples of local information. By contrast, integral transforms and some fractional operators can encode nonlocal information.
See also: global property, pointwise property. .