Definitions from Wiktionary ( )

▸ adjective:  From or in a nearby location.
▸ adjective:  (computing, of a resource) Connected directly to a particular computer, processor, etc.; able to be accessed offline.
▸ adjective:  (computing, of a variable or identifier) Having limited scope (either lexical or dynamic); only accessible within a certain portion of a program.
▸ adjective:  (mathematics, not comparable, of a condition or property) Applying to or satisfied by substructures understood as "near points;" in particular:
▸ adjective:  (topology) Satisfied by at least one open neighborhood of every point.
▸ adjective:  (topology) Satisfied by arbitrarily small open neighborhoods of every point.
▸ adjective:  (group theory, of a property of an infinite group) Satisfied by every finitely generated subgroup.
▸ adjective:  (mathematics, not comparable, of a condition or property) Detectable from the behavior of substructures understood to be "near points;" in particular:
▸ adjective:  (algebra, algebraic geometry, of a property P of a ring R (or an R-module M)) Such that the following conditions are equivalent: (1) P holds for R (M); (2) P holds for the localization R_p (M_p) for all prime ideals p of R; (3) P holds for the localization R_m (M_m) for all maximal ideals m of R.
▸ adjective:  (group theory, of a property of a finite group) Detectable from the behavior of the normalizers of the nontrivial p-subgroups.
▸ adjective:  (algebra, of a ring) Having a unique maximal (left) ideal.
▸ adjective:  (medicine) Of or pertaining to a restricted part of an organism.
▸ adjective:  Descended from an indigenous population.
▸ noun:  A person who lives near a given place.
▸ noun:  A branch of a nationwide organization such as a trade union.
▸ noun:  (British) One's nearest or regularly frequented public house or bar.
▸ noun:  (programming) A locally scoped identifier.
▸ noun:  (US, slang, journalism) An item of news relating to the place where the newspaper is published.
▸ noun:  (finance) An independent trader who acts for themselves rather than on behalf of investors.
▸ noun:  (fandom slang, derogatory) A Twitter user who is not a part of Stan Twitter.
▸ adverb:  In the local area; within a city, state, country, etc.
▸ noun:  (rail transport) Clipping of local train. [(rail transport) A train (either the service or the train itself) making stops at all stations along its route.]
▸ noun:  (colloquial, medicine) Clipping of local anesthetic. [(medicine) An anesthetic (anesthetic substance) that causes loss of sensation only to the area to which it is applied.]

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