### 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

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

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.

### Numerology

Chaldean Numerology

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

**2**Pythagorean Numerology

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

**7**

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"partition of unity." *Definitions.net.* STANDS4 LLC, 2020. Web. 1 Apr. 2020. <https://www.definitions.net/definition/partition+of+unity>.