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- Partition_of_unity abstract "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.".
- Partition_of_unity thumbnail Partition_of_unity_illustration.svg?width=300.
- Partition_of_unity wikiPageExternalLink PartitionofUnity.html.
- Partition_of_unity wikiPageExternalLink PartitionOfUnity.html.
- Partition_of_unity wikiPageID "48636".
- Partition_of_unity wikiPageRevisionID "552275297".
- Partition_of_unity hasPhotoCollection Partition_of_unity.
- Partition_of_unity subject Category:Differential_topology.
- Partition_of_unity subject Category:Topology.
- Partition_of_unity comment "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.".
- Partition_of_unity label "Partition de l'unité".
- Partition_of_unity label "Partition of unity".
- Partition_of_unity label "Partizione dell'unità".
- Partition_of_unity label "Partição da unidade".
- Partition_of_unity label "Zerlegung der Eins".
- Partition_of_unity label "Разбиение единицы".
- Partition_of_unity sameAs Zerlegung_der_Eins.
- Partition_of_unity sameAs Partition_de_l'unité.
- Partition_of_unity sameAs Partizione_dell'unità.
- Partition_of_unity sameAs 단위분할.
- Partition_of_unity sameAs Partição_da_unidade.
- Partition_of_unity sameAs m.0c_sh.
- Partition_of_unity sameAs Q191690.
- Partition_of_unity sameAs Q191690.
- Partition_of_unity wasDerivedFrom Partition_of_unity?oldid=552275297.
- Partition_of_unity depiction Partition_of_unity_illustration.svg.
- Partition_of_unity isPrimaryTopicOf Partition_of_unity.