partition of unity

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partition of unity [pär′tish·ən əv ′yü·nəd·ē]

(mathematics)

On a topological spaceX,this is a covering by open setsU_αwith continuous functions ƒ_αfromXto [0,1], where each ƒ_αis zero on all but a finite number of theU_α, and the sum of all these ƒ_αat any point equals 1.

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No references found			Abstract We extend Unser's theory of sampling in shift-invariant spaces to the case of a Gaussian generator previously excluded because of violating the partition of unity condition. Sampling in shift-invariant spaces with Gaussian generator by Hammerich, Edwin / Sampling Theory in Signal and Image Processing Indeed, we can represent [MATHEMATICAL EXPRESSIONS NOT PREPRODUCIBLE ASCII] Here p =[PI]*[lambda] is the pull-back of the Lebesgue measure (possible as 7 is a diffeomorphism onto the interior of P), and [MATHEMATICAL EXPRESSIONS NOT PREPRODUCIBLE ASCII] is the partition of unity such that [phi]F = 0 outside of the small vicinity of the stratum of [P. On expected number of maximal points in polytopes by Baryshnikov, Yu. / DMTCS Proceedings A partition of unity argument together with Proposition 1 of [Ste93, Chapter VIII] shows that [a. Quantum random walks in one dimension via generating functions by Bressler, Andrew; Pemantle, Robin / DMTCS Proceedings			parting sand parting slip parting stop parting strip parting tool parting wall parting-step lineation Partington, Dame Partington, Mrs. Partisan Partisan Movement Partisan Movement in the Great Patriotic War of 1941–45 Partisan Movement in the Patriotic War of 1812 Partisan Movement of 1918–22 Partisan Spark Partita Partition partition block partition cap partition chromatography partition coefficient Partition Function partition head partition infilling partition noise partition of unity partition plate partition stud partition table partition tile partitioned data set partitioned display partitioned file partitioning PartitionMagic partiversal Partizan Partizansk Partizany Partkabinety partly cloudy partly cloudy sky partn partner Partnership Partnership for Peace Parton Parton, Dolly Parton, James partridge Partridge Day			Partition (mainframe) Partition (number theory) Partition (number theory) partition auction partition block Partition Boot Record partition cap partition chromatography partition chromatography partition chromatography Partition coefficient Partition coefficient partition coefficients partition coefficients Partition Control Header Partition Control Master Partition Descriptor Partition Factor Partition Firmware Partition function Partition function Partition functional partition head partition infilling Partition Knowledge Table Partition Ligation Expectation Maximization Partition Magic Partition Management Tool partition noise Partition of numbers partition of unity Partition of Unity Finite Element Method partition off partition off Partition Organized partition plate Partition Recovery Partition Rule-Based Access Control Partition sector Partition Sequential Partition Size Unit of Measure partition stud partition stud partition stud Partition table partition tile Partition Top Anchors Partition Wall Partition, Aggregation, and Conditional Coding Partition-Based Least Recently Used Partitionable Attribute Grammar Partitional Partitional Partitional Partitional Partitional partitioned partitioned partitioned partitioned partitioned

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