Faster access than browser!Similarities between Inner product space and Metric space
Inner product space and Metric space have 20 things in common (in Unionpedia): Bijection, Cambridge University Press, Cauchy sequence, Complete metric space, Continuous function, Dense set, Euclidean space, Field (mathematics), Hilbert space, Injective function, Morphism, Norm (mathematics), Normed vector space, Real number, Riemannian manifold, Separable space, Sign (mathematics), Space (mathematics), Surjective function, Triangle inequality.
Bijection
In mathematics, a bijection, bijective function, or one-to-one correspondence is a function between the elements of two sets, where each element of one set is paired with exactly one element of the other set, and each element of the other set is paired with exactly one element of the first set.
Bijection and Inner product space · Bijection and Metric space ·
Cambridge University Press
Cambridge University Press (CUP) is the publishing business of the University of Cambridge.
Cambridge University Press and Inner product space · Cambridge University Press and Metric space ·
Cauchy sequence
In mathematics, a Cauchy sequence, named after Augustin-Louis Cauchy, is a sequence whose elements become arbitrarily close to each other as the sequence progresses.
Cauchy sequence and Inner product space · Cauchy sequence and Metric 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).
Complete metric space and Inner product space · Complete metric space and Metric space ·
Continuous function
In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.
Continuous function and Inner product space · Continuous function and Metric space ·
Dense set
In topology and related areas of mathematics, a subset A of a topological space X is called dense (in X) if every point x in X either belongs to A or is a limit point of A, that is the closure of A is constituting the whole set X. Informally, for every point in X, the point is either in A or arbitrarily "close" to a member of A — for instance, every real number either is a rational number or has a rational number arbitrarily close to it (see Diophantine approximation).
Dense set and Inner product space · Dense set and Metric space ·
Euclidean space
In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.
Euclidean space and Inner product space · Euclidean space and Metric space ·
Field (mathematics)
In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.
Field (mathematics) and Inner product space · Field (mathematics) and Metric space ·
Hilbert space
The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.
Hilbert space and Inner product space · Hilbert space and Metric space ·
Injective function
In mathematics, an injective function or injection or one-to-one function is a function that preserves distinctness: it never maps distinct elements of its domain to the same element of its codomain.
Injective function and Inner product space · Injective function and Metric space ·
Morphism
In mathematics, a morphism is a structure-preserving map from one mathematical structure to another one of the same type.
Inner product space and Morphism · Metric space and Morphism ·
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.
Inner product space and Norm (mathematics) · Metric space and Norm (mathematics) ·
Normed vector space
In mathematics, a normed vector space is a vector space over the real or complex numbers, on which a norm is defined.
Inner product space and Normed vector space · Metric space and Normed vector space ·
Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
Inner product space and Real number · Metric space and Real number ·
Riemannian manifold
In differential geometry, a (smooth) Riemannian manifold or (smooth) Riemannian space (M,g) is a real, smooth manifold M equipped with an inner product g_p on the tangent space T_pM at each point p that varies smoothly from point to point in the sense that if X and Y are differentiable vector fields on M, then p \mapsto g_p(X(p),Y(p)) is a smooth function.
Inner product space and Riemannian manifold · Metric space and Riemannian manifold ·
Separable space
In mathematics, a topological space is called separable if it contains a countable, dense subset; that is, there exists a sequence \_^ of elements of the space such that every nonempty open subset of the space contains at least one element of the sequence.
Inner product space and Separable space · Metric space and Separable space ·
Sign (mathematics)
In mathematics, the concept of sign originates from the property of every non-zero real number of being positive or negative.
Inner product space and Sign (mathematics) · Metric space and Sign (mathematics) ·
Space (mathematics)
In mathematics, a space is a set (sometimes called a universe) with some added structure.
Inner product space and Space (mathematics) · Metric space and Space (mathematics) ·
Surjective function
In mathematics, a function f from a set X to a set Y is surjective (or onto), or a surjection, if for every element y in the codomain Y of f there is at least one element x in the domain X of f such that f(x).
Inner product space and Surjective function · Metric space and Surjective function ·
Triangle inequality
In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.
Inner product space and Triangle inequality · Metric space and Triangle inequality ·
The list above answers the following questions
- What Inner product space and Metric space have in common
- What are the similarities between Inner product space and Metric space
Inner product space and Metric space Comparison
Inner product space has 106 relations, while Metric space has 167. As they have in common 20, the Jaccard index is 7.33% = 20 / (106 + 167).
References
This article shows the relationship between Inner product space and Metric space. To access each article from which the information was extracted, please visit:
