locale

1. (computing) The set of settings related to the language and region in which a computer program executes. Examples are language, currency and time formats, character encoding etc.

2. (mathematics) A partially ordered set with the following additional axiomatic properties: any finite subset of it has a meet, any arbitrary subset of it has a join, and distributivity, which states that a binary meet distributes with respect to an arbitrary join. (Note: locales are just like frames except that the category of locales is opposite to the category of frames.)Examples: "Since every locale is of the form #92;mbox#123;Sub#125;#95;#92;mathcal#123;E#125;(1) [subobjects of the terminal object in #92;mathcal#123;E#125;] for some topos #92;mathcal#123;E#125;, locale theory can be regarded as the fragment of topos theory concerning subobjects of 1. A subobject of 1 is a map 1#92;rightarrow#92;Omega, which can reasonably called a truth value. In that sense, locale theory is the study of truth values."