partition of unity

partition of unity
A collection of non-negative-valued functions defined on a topological space, such that every point has only finitely many nonzero values, and these sum to one.

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  • Partition of unity — In mathematics, a partition of unity of a topological space X is a set of continuous functions, { ho i} {iin I}, from X to the unit interval [0,1] such that for every point, xin X, * there is a neighbourhood of x where all but a finite number of… …   Wikipedia

  • Partition — Generally, a partition is a splitting of something into parts. The term is used in a variety of senses: Law *Partition (law), to divide up a piece of land into separate portions representing the proportionate interests of the tenants. It may also …   Wikipedia

  • partition — The dividing of lands held by joint tenants, coparceners, or tenants in common. Gibson v. Gibson, 264 Ark. 420, 572 S.W.2d 148, 149. And, in a less technical sense, any division of real or personal property between co owners, resulting in… …   Black's law dictionary

  • Partition of Quebec — Partition in Quebec politics refers more correctly to the secession of regions of the province of Quebec than to partitions in strictly political sense. It is usually discussed as a possibility in the event of Quebec secession from Canada. It was …   Wikipedia

  • Unity (Northern Ireland) — Unity was the political label for a series of electoral pacts by Irish nationalist and Irish Republican candidates in Northern Ireland elections in the late 1960s and early 1970s. It also contested elections as a party in its own right, electing… …   Wikipedia

  • partition — par·ti·tion /pär ti shən/ n: the severance voluntarily or by legal proceedings of common or undivided interests in property and esp. real property: division into severalty of property held jointly or in common or the sale of such property by a… …   Law dictionary

  • partition — [n] divider, division allotment, apportionment, barrier, detachment, disconnection, dissolution, distribution, disunion, dividing, hindrance, obstruction, parting, portion, rationing, rupture, screen, segregation, separation, severance, share,… …   New thesaurus

  • Partition of Ireland — The partition of Ireland (Irish: críochdheighilt na hÉireann) was the division of the island of Ireland into two distinct territories, now Northern Ireland (a part of the United Kingdom) and the Republic of Ireland (an independent state).… …   Wikipedia

  • Partition of Belgium — The partition of Belgium, or the dissolution of the Belgian State through the separation of the Dutch speaking peoples of the Flanders region from the French speaking peoples of the Walloon Region, granting them either independence or respective… …   Wikipedia

  • Partition of India — The Partition of British India Colonial India …   Wikipedia

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