local

Meaning

1. From or in a nearby location.
2. Connected directly to a particular computer, processor, etc.; able to be accessed offline.
3. Having limited scope (either lexical or dynamic); only accessible within a certain portion of a program.
4. Applying to or satisfied by substructures understood as "near points;" in particular:
5. Satisfied by at least one open neighborhood of every point.
6. Satisfied by arbitrarily small open neighborhoods of every point.
7. Satisfied by every finitely generated subgroup.
8. Detectable from the behavior of substructures understood to be "near points;" in particular:
9. 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.
10. Detectable from the behavior of the normalizers of the nontrivial p-subgroups.
11. Having a unique maximal (left) ideal.
12. Of or pertaining to a restricted part of an organism.
13. A person who lives in or near a given place.
14. A branch of a nationwide organization such as a trade union.
15. Clipping of local train.
16. One's nearest or regularly frequented public house or bar.
17. A locally scoped identifier.
18. An item of news relating to the place where the newspaper is published.
19. Clipping of local anesthetic.
20. An independent trader who acts for themselves rather than on behalf of investors.
21. A Twitter user who is not a part of Stan Twitter.
22. In the local area; within a city, state, country, etc.

Etymology / origin

From Middle English local, from Late Latin locālis (“belonging to a place”), possibly also via Old French local; ultimately from Latin locus (“a place”). The ring-theoretic senses derive from Krull, who first referred to Noetherian commutative rings with a unique maximal ideal as "Stellenring" (Stellen (“place”) + ring) in 1938. The term was inspired by algebraic geometry, where local rings encode information about the behavior of curves (surfaces, etc.) at points; hence, describe "local" behavior.

Related words

Descendant words

• local(Chinese) (bor)
• lokaali(Finnish) (cog)
• ローカル(Japanese) (bor)
• lokals(Polish) (bor)
• lokol(Tok Pisin) (der)

Sources

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