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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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) ·
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 ·
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 ·
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 ·
The list above answers the following questions
- What Bounded set and Hilbert space have in common
- What are the similarities between Bounded set and Hilbert space
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
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