Definition, Meaning, Synonyms & Anagrams | English word VECTOR

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Definitions of VECTOR

1. To set (particularly an aircraft) on a course toward a selected point.
2. (epidemiology) A carrier of a disease-causing agent.
3. (programming) A kind of dynamically resizable array.
4. (computing) To redirect to a vector, or code entry point.
5. (mathematics, physics) A directed quantity, one with both magnitude and direction; the signed difference between two points.
6. (history) Forces, developments, phenomena, processes, systems, etc. which influence the trajectory of history (e.g. imperialism)

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Examples of Using VECTOR in a Sentence

• For example, an absolute value is also defined for the complex numbers, the quaternions, ordered rings, fields and vector spaces.
• In an algebraic structure such as a group, a ring, or vector space, an automorphism is simply a bijective homomorphism of an object into itself.
• It offers a wide range of programs from web design tools, photo manipulation and vector creation, through to video/audio editing, mobile app development, print layout and animation software.
• The addition and multiplication operations together give A the structure of a ring; the addition and scalar multiplication operations together give A the structure of a module or vector space over K.
• Thus, a Banach space is a vector space with a metric that allows the computation of vector length and distance between vectors and is complete in the sense that a Cauchy sequence of vectors always converges to a well-defined limit that is within the space.
• In mathematics, a bilinear map is a function combining elements of two vector spaces to yield an element of a third vector space, and is linear in each of its arguments.
• Bra–ket notation, also called Dirac notation, is a notation for linear algebra and linear operators on complex vector spaces together with their dual space both in the finite-dimensional and infinite-dimensional case.
• 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 Euclidean space.
• The tangent space and the cotangent space at a point are both real vector spaces of the same dimension and therefore isomorphic to each other via many possible isomorphisms.
• The dual space as defined above is defined for all vector spaces, and to avoid ambiguity may also be called the.
• 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 source at each point.
• The endomorphisms of a vector space or module also form a ring, as do the endomorphisms of any object in a preadditive category.
• Eccentricity vector, in celestial mechanics, a dimensionless vector with direction pointing from apoapsis to periapsis.
• Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (for example, inner product, norm, or topology) and the linear functions defined on these spaces and suitably respecting these structures.
• Compared to other formalisms for manipulating geometric objects, geometric algebra is noteworthy for supporting vector division (though generally not by all elements) and addition of objects of different dimensions.
• In algebra, a homomorphism is a structure-preserving map between two algebraic structures of the same type (such as two groups, two rings, or two vector spaces).
• It allows the extension of bounded linear functionals defined on a vector subspace of some vector space to the whole space, and it also shows that there are "enough" continuous linear functionals defined on every normed vector space to make the study of the dual space "interesting".
• Interior Gateway Routing Protocol (IGRP) is a distance vector interior gateway protocol (IGP) developed by Cisco.
• In mathematics, an inner product space (or, rarely, a Hausdorff pre-Hilbert space) is a real vector space or a complex vector space with an operation called an inner product.
• Polarized light is represented by a Jones vector, and linear optical elements are represented by Jones matrices.

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