ball theorem of algebraic topology (sometimes called the hedgehog theorem in Europe) states that there is no nonvanishing continuous tangent vector field...
14 KB (1,809 words) - 02:53, 14 December 2024
serialized in Bessatsu Shonen Magazine. Raiku's third serialization, Vector Ball, ran in Kodansha's Weekly Shōnen Magazine from April 2016 until its abrupt...
7 KB (781 words) - 02:43, 21 November 2024
operations of vector addition and scalar multiplication must satisfy certain requirements, called vector axioms. Real vector spaces and complex vector spaces...
87 KB (11,516 words) - 19:32, 22 December 2024
In mathematics, a vector bundle is a topological construction that makes precise the idea of a family of vector spaces parameterized by another space...
31 KB (4,089 words) - 00:16, 1 December 2024
Basis (linear algebra) (redirect from Linear Algebra/Basis for a Vector Space)
In mathematics, a set B of vectors in a vector space V is called a basis (pl.: bases) if every element of V may be written in a unique way as a finite...
34 KB (4,749 words) - 01:17, 16 October 2024
Vectorman (redirect from Vector Man)
3D tech demo created by tools programmer Karl Robillard, inspired by vector ball demos for the Amiga. While Sega had been finding success with the Genesis...
21 KB (2,284 words) - 04:51, 28 December 2024
compact. For example, a closed ball in any infinite-dimensional normed vector space is never compact. However, a ball in a vector space will always be convex...
12 KB (1,840 words) - 20:18, 6 September 2024
In vector calculus and physics, a vector field is an assignment of a vector to each point in a space, most commonly Euclidean space R n {\displaystyle...
28 KB (4,074 words) - 08:48, 9 December 2024
Curl (mathematics) (redirect from Curl (vector calculus))
In vector calculus, the curl, also known as rotor, is a vector operator that describes the infinitesimal circulation of a vector field in three-dimensional...
34 KB (5,050 words) - 01:38, 31 December 2024
Norm (mathematics) (redirect from Vector norm)
In mathematics, a norm is a function from a real or complex vector space to the non-negative real numbers that behaves in certain ways like the distance...
36 KB (5,963 words) - 12:18, 1 January 2025
Centripetal force (section Derivation using vectors)
not a third force applied to the ball, but rather must be provided by the net force on the ball resulting from vector addition of the normal force and...
56 KB (8,010 words) - 12:54, 21 November 2024
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 a generalization...
18 KB (2,890 words) - 22:11, 21 February 2024
mathematics, a set in a topological vector space is called bounded or von Neumann bounded, if every neighborhood of the zero vector can be inflated to include...
25 KB (3,425 words) - 02:08, 9 June 2024
A topological vector space is a vector space that is also a topological space with the property that the vector space operations (vector addition and scalar...
103 KB (13,537 words) - 12:47, 4 October 2024
In mathematics, a Killing vector field (often called a Killing field), named after Wilhelm Killing, is a vector field on a pseudo-Riemannian manifold...
27 KB (4,719 words) - 17:43, 29 December 2024
Laplace operator (redirect from Vector Laplacian)
the vector Laplacian applies to a vector field, returning a vector quantity. When computed in orthonormal Cartesian coordinates, the returned vector field...
30 KB (4,527 words) - 07:29, 18 December 2024
Thrust vectoring, also known as thrust vector control (TVC), is the ability of an aircraft, rocket or other vehicle to manipulate the direction of the...
35 KB (4,034 words) - 17:22, 5 November 2024
Banach space (redirect from Complete normed vector space)
normed vector space. Thus, a Banach space is a vector space with a metric that allows the computation of vector length and distance between vectors and is...
104 KB (17,224 words) - 06:29, 3 October 2024
Divergence (redirect from Divergence of a vector field)
In vector calculus, divergence is a vector operator that operates on a vector field, producing a scalar field giving the quantity of the vector field's...
31 KB (4,594 words) - 02:11, 16 December 2024
illustrated by the special case of the hairy ball theorem, which simply states that there is no smooth vector field on an even-dimensional n-sphere having...
6 KB (924 words) - 17:07, 4 November 2024
correspond to (the negative of) the scalar part and the vector part of the product of two vector quaternions. It was not until Josiah Willard Gibbs that...
34 KB (4,825 words) - 12:21, 16 December 2024
Work (physics) (section Vector formulation)
direction. Both force and displacement are vectors. The work done is given by the dot product of the two vectors, where the result is a scalar. When the...
50 KB (8,084 words) - 16:31, 21 December 2024
Euclidean space (redirect from Euclidean vector space)
through axiomatic theory. Another definition of Euclidean spaces by means of vector spaces and linear algebra has been shown to be equivalent to the axiomatic...
47 KB (6,964 words) - 20:52, 7 November 2024
Date Publisher V 1986 Ocean Software Vampire 1986 Codemasters/Dinamic Vector Ball 1988 Mastertronic Vendetta 1990 System 3 Software Venom 1988 Mastertronic...
115 KB (87 words) - 03:31, 20 December 2024
Ball lightning is a rare and unexplained phenomenon described as luminescent, spherical objects that vary from pea-sized to several meters in diameter...
74 KB (8,934 words) - 17:29, 18 December 2024
mathematics, locally convex topological vector spaces (LCTVS) or locally convex spaces are examples of topological vector spaces (TVS) that generalize normed...
58 KB (10,568 words) - 23:16, 10 August 2024
Inner product space (redirect from Orthogonal vector)
space) is a real vector space or a complex vector space with an operation called an inner product. The inner product of two vectors in the space is a...
56 KB (7,315 words) - 00:51, 3 December 2024
Parker Pen Company (redirect from Parker Vector)
The precursor to the Parker Vector was introduced in 1981. It was a simple cylindrical plastic cap and barrel roller-ball pen called the "Parker RB1"...
22 KB (2,163 words) - 18:14, 16 December 2024
a vector space. Specifically, when the vector space comprises matrices, such norms are referred to as matrix norms. Matrix norms differ from vector norms...
28 KB (4,744 words) - 02:15, 1 January 2025
A vector monitor, vector display, or calligraphic display is a display device used for computer graphics up through the 1970s. It is a type of CRT, similar...
13 KB (1,573 words) - 07:07, 10 December 2024