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1. Vector spaces: If the reader is familiar with analytic geometry, she will probably know that points in the plane can be identified by ordered tuples ( x , y ) {\displaystyle {\begin{aligned}(x,y)\end{aligned}}} where each entry is a number denoting the ... [100%] 2023-12-28 [Mathematics]
2. Vector space: A vector space, also known as a linear space, is an abstract mathematical construct with many important applications in the natural sciences, in particular in physics and numerous areas of mathematics. Some vector spaces make sense somewhat intuitively, such as ... [90%] 2023-08-17
3. Vector space: In mathematics and physics, a vector space (also called a linear space) is a set whose elements, often called vectors, may be added together and multiplied ("scaled") by numbers called scalars. Scalars are often real numbers, but can be complex ... (Algebraic structure in linear algebra) [90%] 2023-12-28 [Concepts in physics] [Group theory]...
4. Vector space: In mathematics and physics, a vector space (also called a linear space) is a set whose elements, often called vectors, may be added together and multiplied ("scaled") by numbers called scalars. Scalars are often real numbers, but can be complex ... (Algebraic structure in linear algebra) [90%] 2023-12-28 [Concepts in physics] [Group theory]...
5. Vector space: A vector space is a set of objects that can be added together and multiplied by elements of another set, while satisfying certain properties. Elements of the first set are called "vectors" while elements of the second set are called ... [90%] 2023-02-08 [Mathematics] [Algebra]...
6. Vector space: Linear space, over a field $K$ An Abelian group $E$, written additively, in which a multiplication of the elements by scalars is defined, i.e. a mapping \begin{equation} K\times E\rightarrow E\colon (\lambda,x)\rightarrow \lambda x ... (Mathematics) [90%] 2023-10-27
7. List of vector spaces in mathematics: This is a list of vector spaces in abstract mathematics, by Wikipedia page. (Wikipedia list article) [75%] 2023-12-21 [Topological vector spaces] [Linear algebra]...
8. Convenient vector space: In mathematics, convenient vector spaces are locally convex vector spaces satisfying a very mild completeness condition. Traditional differential calculus is effective in the analysis of finite-dimensional vector spaces and for Banach spaces. [73%] 2023-02-08 [Multivariable calculus] [Differential calculus]...
9. Topological vector space: In mathematics, a topological vector space (also called a linear topological space and commonly abbreviated TVS or t.v.s.) is one of the basic structures investigated in functional analysis. A topological vector space is a vector space that is ... (Vector space with a notion of nearness) [73%] 2023-12-28 [Articles containing proofs] [Topology of function spaces]...
10. Topological vector space: over a topological field $ K $ A vector space $ E $ over $ K $ equipped with a topology (cf. Topological structure (topology)) that is compatible with the vector space structure, that is, the following axioms are satisfied: 1) the mapping $ ( x _ {1 ... (Mathematics) [73%] 2023-10-18
11. Prehomogeneous vector space: In mathematics, a prehomogeneous vector space (PVS) is a finite-dimensional vector space V together with a subgroup G of the general linear group GL(V) such that G has an open dense orbit in V. Prehomogeneous vector spaces were ... [73%] 2023-12-29 [Representation theory]
12. Normed vector space: In mathematics, a normed vector space or normed space is a vector space over the real or complex numbers, on which a norm is defined. A norm is the formalization and the generalization to real vector spaces of the intuitive ... (Vector space on which a distance is defined) [73%] 2022-07-10 [Banach spaces] [Normed spaces]...
13. Vector space model: Vector space model or term vector model is an algebraic model for representing text documents (or more generally, items) as vectors such that the distance between vectors represents the relevance between the documents. It is used in information filtering, information ... (Model for representing text documents) [73%] 2023-12-29 [Vector space model]
14. Super vector space: In mathematics, a super vector space is a Z 2 {\displaystyle \mathbb {Z} _{2}} -graded vector space, that is, a vector space over a field K {\displaystyle \mathbb {K} } with a given decomposition of subspaces of grade 0 {\displaystyle ... [73%] 2022-06-03 [Super linear algebra] [Categories in category theory]...
15. Prehomogeneous vector space: In mathematics, a prehomogeneous vector space (PVS) is a finite-dimensional vector space V together with a subgroup G of the general linear group GL(V) such that G has an open dense orbit in V. Prehomogeneous vector spaces were ... [73%] 2023-11-16 [Representation theory]
16. Super vector space: In mathematics, a super vector space is a \displaystyle{ \mathbb Z 2 }[/math]-graded vector space, that is, a vector space over a field \displaystyle{ \mathbb K }[/math] with a given decomposition of subspaces of grade \displaystyle{ 0 }[/math] and ... (Graded vector space with applications to theoretical physics) [73%] 2022-12-23 [Super linear algebra]
17. Topological vector space: In mathematics, a topological vector space (also called a linear topological space and commonly abbreviated TVS or t.v.s.) is one of the basic structures investigated in functional analysis. A topological vector space is a vector space that is ... (Vector space with a notion of nearness) [73%] 2024-01-12 [Articles containing proofs] [Topology of function spaces]...
18. Normed vector space: A normed vector space is a vector space equipped with a length-measuring function called the norm. A norm is a function |.| taking as arguments vectors and returning real numbers, satisfying these properties: Every norm defines a metric in a ... [73%] 2023-06-28 [Linear Algebra]
19. Quaternionic vector space: In mathematics, a left (or right) quaternionic vector space is a left (or right) H-module where H is the (non-commutative) division ring of quaternions. The space H of n-tuples of quaternions is both a left and right ... [73%] 2023-12-29 [Quaternions] [Linear algebra]...
20. Convenient vector space: In mathematics, convenient vector spaces are locally convex vector spaces satisfying a very mild completeness condition. Traditional differential calculus is effective in the analysis of finite-dimensional vector spaces and for Banach spaces. [73%] 2024-03-12 [Multivariable calculus] [Differential calculus]...