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Bounded set and Hilbert space

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

Difference between Bounded set and Hilbert space

Bounded set vs. Hilbert space

In mathematical analysis and related areas of mathematics, a set is called bounded, if it is, in a certain sense, of finite size. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.

Similarities between Bounded set and Hilbert space

Bounded set and Hilbert space have 11 things in common (in Unionpedia): Closed set, Compact space, Complete metric space, Euclidean space, Mathematical analysis, Mathematics, Metric space, Norm (mathematics), Partially ordered set, Real number, Topological vector space.

Closed set

In geometry, topology, and related branches of mathematics, a closed set is a set whose complement is an open set.

Bounded set and Closed set · Closed set and Hilbert space · See more »

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).

Bounded set and Compact space · Compact space and Hilbert space · See more »

Complete metric space

In mathematical analysis, a metric space M is called complete (or a Cauchy space) if every Cauchy sequence of points in M has a limit that is also in M or, alternatively, if every Cauchy sequence in M converges in M. Intuitively, a space is complete if there are no "points missing" from it (inside or at the boundary).

Bounded set and Complete metric space · Complete metric space and Hilbert space · See more »

Euclidean space

In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.

Bounded set and Euclidean space · Euclidean space and Hilbert space · 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.

Bounded set and Mathematical analysis · Hilbert space and Mathematical analysis · See more »

Mathematics

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

Bounded set and Mathematics · Hilbert space and Mathematics · See more »

Metric space

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

Bounded set and Metric space · Hilbert space and Metric space · See more »

Norm (mathematics)

In linear algebra, functional analysis, and related areas of mathematics, a norm is a function that assigns a strictly positive length or size to each vector in a vector space—save for the zero vector, which is assigned a length of zero.

Bounded set and Norm (mathematics) · Hilbert space and Norm (mathematics) · See more »

Partially ordered set

In mathematics, especially order theory, a partially ordered set (also poset) formalizes and generalizes the intuitive concept of an ordering, sequencing, or arrangement of the elements of a set.

Bounded set and Partially ordered set · Hilbert space and Partially ordered set · See more »

Real number

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

Bounded set and Real number · Hilbert space and Real number · See more »

Topological vector space

In mathematics, a topological vector space (also called a linear topological space) is one of the basic structures investigated in functional analysis.

Bounded set and Topological vector space · Hilbert space and Topological vector space · See more »

The list above answers the following questions

Bounded set and Hilbert space Comparison

Bounded set has 32 relations, while Hilbert space has 298. As they have in common 11, the Jaccard index is 3.33% = 11 / (32 + 298).

References

This article shows the relationship between Bounded set and Hilbert space. To access each article from which the information was extracted, please visit:

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