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Vector-based devices, such as the vector CRT and the pen plotter, directly control a drawing mechanism to produce geometric shapes. Since vector display devices can define a line by dealing with just two points (that is, the coordinates of each end of the line), the device can reduce the total amount of data it must deal with by organizing the ...
An equivalent definition of a vector space can be given, which is much more concise but less elementary: the first four axioms (related to vector addition) say that a vector space is an abelian group under addition, and the four remaining axioms (related to the scalar multiplication) say that this operation defines a ring homomorphism from the ...
Normed vector space, a vector space on which a norm is defined; Hilbert space; Ordered vector space, a vector space equipped with a partial order; Super vector space, name for a Z 2-graded vector space; Symplectic vector space, a vector space V equipped with a non-degenerate, skew-symmetric, bilinear form
A matrix transforming world space coordinates into camera space. View vector In shading calculations, a 3D unit vector between the camera and the point of interest on a surface. View frustum A truncated pyramid enclosing the subset of 3D space that projects onto a 'viewport' (a rectangular region in screen space, usually the entire screen).
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 ...
Given a subset S of R n, a vector field is represented by a vector-valued function V: S → R n in standard Cartesian coordinates (x 1, …, x n). If each component of V is continuous, then V is a continuous vector field. It is common to focus on smooth vector fields, meaning that each component is a smooth function (differentiable any number ...
A vector-based graphical user interface is a mostly conceptual type of graphical user interface where elements are drawn using vector information instead of raster information. An example of a vector-based window, found in a privately funded vector-based graphical user interface research project. 2D GUI. All window decorations and elements ...
In mathematics and physics, vector notation is a commonly used notation for representing vectors, [1] [2] which may be Euclidean vectors, or more generally, members of a vector space. For denoting a vector, the common typographic convention is lower case, upright boldface type, as in v .