localizationnoun/ˌləʊkəlaɪˈzeɪʃən/

• 1

  The act of localizing.

• 2

  governmentpoliticsThe act of localizing.

  • James has been responsible for the government works programme. He is the last expatriate senior official left in the administration, apart from the Attorney General, Jeremy Mathews. It has been a remarkably swift and comprehensive process of localization, and the competence of government in Hong Kong has not suffered an iota. His departure is a significant day for Hong Kong.
• 3

  computingengineeringmathematicsThe act, process, or result of making a product suitable for use in a particular country or region.

• 4

  businesscomputingengineeringThe act, process, or result of adapting translated text to fit a local culture; domestication.

• 5

  The state of being localized.

• 6

  algebramathematicssciencesA systematic method of adding multiplicative inverses to a ring.

• 7

  algebramathematicssciencesA ring of fractions of a given ring, such that the complement of the set of allowed denominators is an ideal.

  • 3) Geometric interpretation of the localization. Let V be an irreducible algebraic variety. Then P = J(V) is a prime ideal of #92;mathbb#123;C#125;#91;X#95;1,...,X#95;n#93; and so #92;mathbb#123;C#125;#91;V#93;#61;#92;mathbb#123;C#125;#91;X#95;1,...,X#95;n#93;#47;J(V) is an integral domain. The localization #92;mathbb#123;C#125;#91;X#95;1,...,X#95;n#93;#95;P is a subring of #92;mathbb#123;C#125;(X#95;1,...,X#95;n) consisting of rational functions #92;#123;f#47;g#58;f,g#92;in#92;mathbb#123;C#125;#91;X#95;1,...,X#95;n#93;,g#92;notinP#92;#125; which are defined on a nonempty subset of V. If V = {x} is a point, then P is maximal and #92;mathbb#123;C#125;#91;X#95;1,...,X#95;n#93;#95;P#61;#92;#123;f#47;g#58;f,g#92;in#92;mathbb#123;C#125;#91;X#95;1,...,X#95;n#93;,g(x)#92;ne 0#92;#125; consists of rational functions which are defined at x.