Definitions
1.AdjectiveFrom or in a nearby location."We prefer local produce."
2.AdjectiveConnected directly to a particular computer, processor, etc.; able to be accessed offline."local disk drive; local file; The panel shows both local and remote sites."
3.AdjectiveHaving limited scope (either lexical or dynamic); only accessible within a certain portion of a program.
4.AdjectiveApplying to or satisfied by substructures understood as "near points;" in particular:
Satisfied by at least one open neighborhood of every point."A Hausdorff space satisfying local compactness need not be (globally) compact!"
5.AdjectiveSatisfied by at least one open neighborhood of every point."A Hausdorff space satisfying local compactness need not be (globally) compact!"
6.AdjectiveSatisfied by arbitrarily small open neighborhoods of every point.
7.AdjectiveSatisfied by every finitely generated subgroup.
8.AdjectiveDetectable from the behavior of substructures understood to be "near points;" in particular:
Such that the following conditions are equivalent: (1)
P
{\displaystyle P}
holds for
R
{\displaystyle R}
(
M
{\displaystyle M}
); (2)
P
{\displaystyle P}
holds for the localization
R
p
{\displaystyle R_{\mathfrak {p}}}
(
M
p
{\displaystyle M_{\mathfrak {p}}}
) for all prime ideals
p
{\displaystyle {\mathfrak {p}}}
of
R
{\displaystyle R}
; (3)
P
{\displaystyle P}
holds for the localization
R
m
{\displaystyle R_{\mathfrak {m}}}
(
M
m
{\displaystyle M_{\mathfrak {m}}}
) for all maximal ideals
m
{\displaystyle {\mathfrak {m}}}
of
R
{\displaystyle R}
."Flatness is a local property."
9.AdjectiveSuch that the following conditions are equivalent: (1)
P
{\displaystyle P}
holds for
R
{\displaystyle R}
(
M
{\displaystyle M}
); (2)
P
{\displaystyle P}
holds for the localization
R
p
{\displaystyle R_{\mathfrak {p}}}
(
M
p
{\displaystyle M_{\mathfrak {p}}}
) for all prime ideals
p
{\displaystyle {\mathfrak {p}}}
of
R
{\displaystyle R}
; (3)
P
{\displaystyle P}
holds for the localization
R
m
{\displaystyle R_{\mathfrak {m}}}
(
M
m
{\displaystyle M_{\mathfrak {m}}}
) for all maximal ideals
m
{\displaystyle {\mathfrak {m}}}
of
R
{\displaystyle R}
."Flatness is a local property."
10.AdjectiveDetectable from the behavior of the normalizers of the nontrivial p-subgroups.
11.AdjectiveHaving a unique maximal (left) ideal.
12.AdjectiveOf or pertaining to a restricted part of an organism."local lesion; The patient didn't want to be sedated, so we applied only local anesthesia."
13.AdjectiveDescended from an indigenous population."Hawaiian Pidgin is spoken by the local population."
14.NounA person who lives in or near a given place."It's easy to tell the locals from the tourists."
15.NounA branch of a nationwide organization such as a trade union."I'm in the TWU, too. Local 6."
16.NounClipping of local train."The expresses skipped my station, so I had to take a local."
17.NounOne's nearest or regularly frequented public house or bar."I got barred from my local, so I've started going all the way into town for a drink."
18.NounA locally scoped identifier."Functional programming languages usually don't allow changing the immediate value of locals once they've been initialized, unless they're explicitly marked as being mutable."
19.NounAn item of news relating to the place where the newspaper is published.
20.NounClipping of local anesthetic.
21.NounAn independent trader who acts for themselves rather than on behalf of investors.
22.NounA Twitter user who is not a part of Stan Twitter.
23.AdverbIn the local area; within a city, state, country, etc."It's never been more important to buy local."