What does partition of unity mean?

Definitions for partition of unity
par·ti·tion of uni·ty

Here are all the possible meanings and translations of the word partition of unity.

Wiktionary

  1. partition of unity(Noun)

    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.

Freebase

  1. Partition of unity

    In mathematics, a partition of unity of a topological space X is a set R of continuous functions from X to the unit interval [0,1] such that for every point, ⁕there is a neighbourhood of x where all but a finite number of the functions of R are 0, and ⁕the sum of all the function values at x is 1, i.e., . Partitions of unity are useful because they often allow one to extend local constructions to the whole space. They are also important in the interpolation of data, in signal processing, and the theory of spline functions.

How to pronounce partition of unity?

  1. Alex
    Alex
    US English
    Daniel
    Daniel
    British
    Karen
    Karen
    Australian
    Veena
    Veena
    Indian

How to say partition of unity in sign language?

  1. partitionofunity

Numerology

  1. Chaldean Numerology

    The numerical value of partition of unity in Chaldean Numerology is: 2

  2. Pythagorean Numerology

    The numerical value of partition of unity in Pythagorean Numerology is: 7

Images & Illustrations of partition of unity

  1. partition of unitypartition of unitypartition of unitypartition of unitypartition of unity

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    "partition of unity." Definitions.net. STANDS4 LLC, 2020. Web. 30 Oct. 2020. <https://www.definitions.net/definition/partition+of+unity>.

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