Smoothness and Support (mathematics)

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Smoothness and Support (mathematics)

Smoothness vs. Support (mathematics)

In mathematical analysis, the smoothness of a function is a property measured by the number of derivatives it has that are continuous. In mathematics, the support of a real-valued function f is the subset of the domain containing those elements which are not mapped to zero.

Similarities between Smoothness and Support (mathematics)

Smoothness and Support (mathematics) have 10 things in common (in Unionpedia): Bump function, Compact space, Domain of a function, Function (mathematics), Integer, Manifold, Mathematical analysis, Real line, Sheaf (mathematics), Union (set theory).

Bump function

In mathematics, a bump function is a function f:\mathbf^n\rightarrow \mathbf on a Euclidean space \mathbf^n which is both smooth (in the sense of having continuous derivatives of all orders) and compactly supported.

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Compact space

In mathematics, and more specifically in general topology, compactness is a property that generalizes the notion of a subset of Euclidean space being closed (that is, containing all its limit points) and bounded (that is, having all its points lie within some fixed distance of each other).

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Domain of a function

In mathematics, and more specifically in naive set theory, the domain of definition (or simply the domain) of a function is the set of "input" or argument values for which the function is defined.

Domain of a function and Smoothness · Domain of a function and Support (mathematics) · See more »

Function (mathematics)

In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.

Function (mathematics) and Smoothness · Function (mathematics) and Support (mathematics) · See more »

Integer

An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").

Integer and Smoothness · Integer and Support (mathematics) · See more »

Manifold

In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.

Manifold and Smoothness · Manifold and Support (mathematics) · See more »

Mathematical analysis

Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.

Mathematical analysis and Smoothness · Mathematical analysis and Support (mathematics) · See more »

Real line

In mathematics, the real line, or real number line is the line whose points are the real numbers.

Real line and Smoothness · Real line and Support (mathematics) · See more »

Sheaf (mathematics)

In mathematics, a sheaf is a tool for systematically tracking locally defined data attached to the open sets of a topological space.

Sheaf (mathematics) and Smoothness · Sheaf (mathematics) and Support (mathematics) · See more »

Union (set theory)

In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection.

Smoothness and Union (set theory) · Support (mathematics) and Union (set theory) · See more »

The list above answers the following questions

What Smoothness and Support (mathematics) have in common
What are the similarities between Smoothness and Support (mathematics)

Smoothness and Support (mathematics) Comparison

Smoothness has 71 relations, while Support (mathematics) has 63. As they have in common 10, the Jaccard index is 7.46% = 10 / (71 + 63).

References

This article shows the relationship between Smoothness and Support (mathematics). To access each article from which the information was extracted, please visit:

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