Base (topology) and Lp space

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

Difference between Base (topology) and Lp space

Base (topology) vs. Lp space

In mathematics, a base (or basis) B for a topological space X with topology T is a collection of open sets in T such that every open set in T can be written as a union of elements of B.We are using a convention that the union of empty collection of sets is the empty set. In mathematics, the Lp spaces are function spaces defined using a natural generalization of the ''p''-norm for finite-dimensional vector spaces.

Similarities between Base (topology) and Lp space

Base (topology) and Lp space have 6 things in common (in Unionpedia): Mathematics, Metric space, Open set, Real number, Topological space, Vector space.

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Metric space

In mathematics, a metric space is a set for which distances between all members of the set are defined.

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Open set

In topology, an open set is an abstract concept generalizing the idea of an open interval in the real line.

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Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

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Topological space

In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, satisfying a set of axioms relating points and neighbourhoods.

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Vector space

A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.

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The list above answers the following questions

What Base (topology) and Lp space have in common
What are the similarities between Base (topology) and Lp space

Base (topology) and Lp space Comparison

Base (topology) has 36 relations, while Lp space has 127. As they have in common 6, the Jaccard index is 3.68% = 6 / (36 + 127).

References

This article shows the relationship between Base (topology) and Lp space. To access each article from which the information was extracted, please visit:

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