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Look up vector or vectorial in Wiktionary, the free dictionary. Vector most often refers to: Disease vector, an agent that carries and transmits an infectious...

The VECTOR (Versatile Expeditionary Commando Tactial Off Road) is a Dutch light all-terrain tactical vehicle, designed and developed by defence contractor...

Vector graphics are a form of computer graphics in which visual images are created directly from geometric shapes defined on a Cartesian plane, such as...

A vector database, vector store or vector search engine is a database that stores and retrieves embeddings of data in vector space. Vector databases typically...

operations of vector addition and scalar multiplication must satisfy certain requirements, called vector axioms. Real vector spaces and complex vector spaces...

In mathematics and physics, a vector is a generalization of a single number. It may denote a vector quantity, i.e., physical quantity that cannot be expressed...

Scalable Vector Graphics (SVG) is an XML-based vector graphics format for defining two-dimensional graphics, having support for interactivity and animation...

physics, and engineering, a Euclidean vector or simply a vector (sometimes called a geometric vector or spatial vector) is a geometric object that has magnitude...

In machine learning, support vector machines (SVMs, also support vector networks) are supervised max-margin models with associated learning algorithms...

product or vector product (occasionally directed area product, to emphasize its geometric significance) is a binary operation on two vectors in a three-dimensional...

The KRISS Vector is a submachine gun developed by the American company KRISS USA, formerly Transformational Defense Industries (TDI). Civilian variants...

In physics, the Poynting vector (or Umov–Poynting vector) represents the directional energy flux (the energy transfer per unit area, per unit time) or...

The vector projection (also known as the vector component or vector resolution) of a vector a on (or onto) a non-zero vector b is the orthogonal projection...

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...

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...

Vector optimization is a subarea of mathematical optimization where optimization problems with a vector-valued objective functions are optimized with...

The Vector W8 is a sports car produced by American automobile manufacturer Vector Aeromotive Corporation from 1989 to 1993. It was designed by company...

Vector calculus or vector analysis is a branch of mathematics concerned with the differentiation and integration of vector fields, primarily in three-dimensional...

In mathematics, a set B of elements of a vector space V is called a basis (pl.: bases) if every element of V can be written in a unique way as a finite...

In epidemiology, a disease vector is any living agent that carries and transmits an infectious pathogen such as a parasite or microbe, to another living...

Vector quantization (VQ) is a classical quantization technique from signal processing that allows the modeling of probability density functions by the...

Vector Marketing is a direct selling subsidiary company and the marketing arm of Cutco Corporation, an Olean, New York–based cutlery manufacturer. The...

algebra, an eigenvector (/ˈaɪɡən-/ EYE-gən-) or characteristic vector is a (nonzero) vector that has its direction unchanged (or reversed) by a given linear...

In mathematics, a unit vector in a normed vector space is a vector (often a spatial vector) of length 1. A unit vector is often denoted by a lowercase...

mathematics and theoretical physics, a Killing vector field or Killing field (named after Wilhelm Killing) is a vector field on a Riemannian manifold or pseudo-Riemannian...

H has a cyclic vector f if the vectors f, Af, A2f,... span H. Equivalently, f is a cyclic vector for A in case the set of all vectors of the form p(A)f...

numbers (usually coordinate vectors), and returns a single number. In Euclidean geometry, the scalar product of two vectors is the dot product of their...

mapping) is a particular kind of function between vector spaces, which respects the basic operations of vector addition and scalar multiplication. A standard...

In mathematics, a vector bundle is a topological construction that makes precise the idea of a family of vector spaces parameterized by another space...

Lamb vector is the cross product of vorticity vector and velocity vector of the flow field, named after the physicist Horace Lamb. The Lamb vector is defined...

has a book on the topic of: X86 Assembly/AVX, AVX2, FMA3, FMA4 Advanced Vector Extensions (AVX, also known as Gesher New Instructions and then Sandy Bridge...

Vector notation In mathematics and physics, vector notation is a commonly used notation for representing vectors, which may be Euclidean vectors, or more...

In mathematics, vector multiplication may refer to one of several operations between two (or more) vectors. It may concern any of the following articles:...

A version vector is a mechanism for tracking changes to data in a distributed system, where multiple agents might update the data at different times. The...

In mathematics, the indicator vector, characteristic vector, or incidence vector of a subset T of a set S is the vector x T := ( x s ) s ∈ S {\displaystyle...

of algebraic objects associated with a vector space. Tensors may map between different objects such as vectors, scalars, and even other tensors. There...

In mathematics, a vector measure is a function defined on a family of sets and taking vector values satisfying certain properties. It is a generalization...

A shuttle vector is a vector (usually a plasmid) constructed so that it can propagate in two different host species. Therefore, DNA inserted into a shuttle...

Vector logic is an algebraic model of elementary logic based on matrix algebra. Vector logic assumes that the truth values map on vectors, and that the...

mathematically by assigning a vector to each point of space, making it a vector field. There are two different, but closely related, vector fields which are called...

In mathematics, any vector space V {\displaystyle V} has a corresponding dual vector space (or just dual space for short) consisting of all linear forms...

In algebraic combinatorics, the h-vector of a simplicial polytope is a fundamental invariant of the polytope which encodes the number of faces of different...

the natural sciences, a vector quantity (also known as a vector physical quantity, physical vector, or simply vector) is a vector-valued physical quantity...

between two non-zero vectors defined in an inner product space. Cosine similarity is the cosine of the angle between the vectors; that is, it is the dot...

point, the zero vector is called the origin. Adding a fixed vector to the elements of a linear subspace (vector subspace) of a vector space produces an...

Vector Group Ltd. was an American diversified holding company with two major businesses: Liggett Group (tobacco) and New Valley (real estate). In August...

or nabla, is an operator used in mathematics (particularly in vector calculus) as a vector differential operator, usually represented by ∇ (the nabla symbol)...

In particle physics, a vector boson is a boson whose spin equals one. Vector bosons that are also elementary particles are gauge bosons, the force carriers...

space is a real or complex vector space endowed with an operation called an inner product. The inner product of two vectors in the space is a scalar, often...

following are important identities involving derivatives and integrals in vector calculus. For a function f ( x , y , z ) {\displaystyle f(x,y,z)} in three-dimensional...

Quaternions can be used to represent vectors in three-dimensional space, which provides a definition of the quotient of two vectors. Quaternions were first described...

Vector space model (VSM) or term vector model is an algebraic model for representing text documents (or more generally, items) as vectors such that the...

mathematics, vector algebra may mean: The operations of vector addition and scalar multiplication of a vector space The algebraic operations in vector calculus...

In geometry, a position or position vector, also known as location vector or radius vector, is a Euclidean vector that represents a point P in space....

represented by capital letters in bold, e.g. A; vectors in lowercase bold, e.g. a; and entries of vectors and matrices are italic (they are numbers from...

up vector graphics in Wiktionary, the free dictionary. Vector graphics are a form of computer graphics. Vector graphic may also refer to: Vector Graphic...

space are a sequence of p {\displaystyle p} unit vectors, where the i {\displaystyle i} -th vector is the direction of a line that best fits the data...

engineering, a test vector is a set of inputs provided to a system in order to test that system. In software development, test vectors are a methodology...

Infection vector may refer to: Vector (epidemiology), the method by which a disease spreads Vector (malware), the method by which a computer virus spreads...

Look up vectorization in Wiktionary, the free dictionary. Vectorization may refer to: Array programming, a style of computer programming where operations...

the cross product of the particle's position vector r (relative to some origin) and its momentum vector; the latter is p = mv in Newtonian mechanics....

In mathematics, a normed vector space or normed space is a vector space, typically over the real or complex numbers, on which a norm is defined. A norm...

In mathematics, the exterior algebra or Grassmann algebra of a vector space V {\displaystyle V} is an associative algebra that contains V , {\displaystyle...

Vector was a Philippine oil tanker that collided with the passenger ferry Doña Paz on December 20, 1987, in the Tablas Strait, Philippines, resulting in...

A vector clock is a data structure used for determining the partial ordering of events in a distributed system and detecting causality violations. Just...

In materials science, the Burgers vector, named after Dutch physicist Jan Burgers, is a vector, often denoted as b, that represents the magnitude and direction...

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...

a complex vector bundle is a vector bundle whose fibers are complex vector spaces. Any complex vector bundle can be viewed as a real vector bundle through...

In classical mechanics, the Laplace–Runge–Lenz vector (LRL vector) is a vector used chiefly to describe the shape and orientation of the orbit of one...

In physical optics or wave optics, a vector soliton is a solitary wave with multiple components coupled together that maintains its shape during propagation...

Vector Motors Corporation was an American automobile manufacturer originally based in Wilmington, California. Its history can be traced to Vehicle Design...

rotation vector, whose coordinates are also known as modified Rodrigues parameters or Wiener–Milenkovic parameters, is a three-dimensional vector representing...

Vector Pipeline L.P. is a 348-mile-long natural gas pipeline which transports approximately 1 billion cubic feet (28,000,000 m3) per day of natural gas...

Vector Institute may refer to: State Research Center of Virology and Biotechnology VECTOR, Russian biology and virology research institute Vector Institute...

A cloning vector is a small piece of DNA that can be stably maintained in an organism, and into which a foreign DNA fragment can be inserted for cloning...

normal distribution to higher dimensions. One definition is that a random vector is said to be k-variate normally distributed if every linear combination...

mathematics and physics, k-vector may refer to: A wave vector k Crystal momentum A multivector of grade k, also called a k-vector, the dual of a differential...

physical objects. Velocity is a vector quantity, meaning that both magnitude and direction are needed to define it (velocity vector). The scalar absolute value...

In vector calculus, a conservative vector field is a vector field that is the gradient of some function. A conservative vector field has the property...

The Vector M12 is a sports car manufactured by Vector Aeromotive under parent company Megatech, and was the first car produced after the hostile takeover...

mathematical notation for linear algebra and linear operators on complex vector spaces together with their dual spaces both in the finite- and infinite-dimensional...

A distance-vector routing protocol in data networks determines the best route for data packets based on distance. Distance-vector routing protocols measure...

State vector may refer to: A quantum state vector The state of a system described by a state space representation A state vector (geographical) specifies...

algebra, a coordinate vector is a representation of a vector as an ordered list of numbers (a tuple) that describes the vector in terms of a particular...

Automatic vectorization, in parallel computing, is a special case of automatic parallelization, where a computer program is converted from a scalar implementation...

A viral vector is a modified virus designed to deliver genetic material into cells. This process can be performed inside an organism or in cell culture...

representation is a real-valued vector that encodes the meaning of the word in such a way that the words that are closer in the vector space are expected to be...

torque vector is perpendicular to both the position and force vectors, and defines the plane in which the two vectors lie. The resulting torque vector direction...

mathematics, a graded vector space is a vector space that has the extra structure of a grading or gradation, which is a decomposition of the vector space into a...

is a linear map from a vector space to its field of scalars (often, the real numbers or the complex numbers). If V is a vector space over a field k, the...

In physics and mathematics, a symplectic vector field is one whose flow preserves a symplectic form. That is, if ( M , ω ) {\displaystyle (M,\omega )}...

the vector Laplacian applies to a vector field, returning a vector quantity. When computed in orthonormal Cartesian coordinates, the returned vector field...

In mathematics, a Tate vector space is a vector space obtained from finite-dimensional vector spaces in a way that makes it possible to extend concepts...

In physics, a wave vector (or wavevector) is a vector used in describing a wave, with a typical unit being cycle per metre. It has a magnitude and direction...

The n-vector representation (also called geodetic normal or ellipsoid normal vector) is a three-parameter non-singular representation well-suited for...

The following are important identities in vector algebra. Identities that only involve the magnitude of a vector ‖ A ‖ {\displaystyle \|\mathbf {A} \|} and...

In vector calculus, the gradient of a scalar-valued differentiable function f {\displaystyle f} of several variables is the vector field (or vector-valued...

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...

The orientation of a real vector space or simply orientation of a vector space is the arbitrary choice of which ordered bases are "positively" oriented...

learning vector quantization (LVQ) is a prototype-based supervised classification algorithm. LVQ is the supervised counterpart of vector quantization...

random vector must add up to certain sum, then an element in the vector is neutral with respect to the others if the distribution of the vector created...

called vectors, and elements of F are called scalars. The first operation, vector addition, takes any two vectors v and w and outputs a third vector v +...

In mathematics, the dimension of a vector space V is the cardinality (i.e., the number of vectors) of a basis of V over its base field. It is sometimes...

mathematics, especially the field of group theory, the Parker vector is an integer vector that describes a permutation group in terms of the cycle structure...

A two-vector or bivector is a tensor of type ( 2 0 ) {\displaystyle \scriptstyle {\binom {2}{0}}} and it is the dual of a two-form, meaning that it is...

Binary vector may mean: In computer science: a bit array or bit vector In biotechnology: a transfer DNA binary system This disambiguation page lists articles...

functional analysis, a bornology B {\displaystyle {\mathcal {B}}} on a vector space X {\displaystyle X} over a field K , {\displaystyle \mathbb {K} ,}...

letter omega), also known as the angular frequency vector, is a three-dimensional Euclidean vector that uniquely identifies the plane, direction and angular...

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...

In mathematics, a tangent vector is a vector that is tangent to a curve or surface at a given point. Tangent vectors are described in the differential...

to form a four-vector. The 3-space electric field, E, combines with the 3-space magnetic field, B, to create a tensor in the four-vector formalism. This...

one-dimensional arrays of data called vectors. When integrated as a hardware component the vector processor is often called a vector processing unit (VPU). This...

set of vectors is said to be linearly independent if there exists no vector in the set that is equal to a linear combination of the other vectors in the...

In classical electromagnetism, magnetic vector potential (often denoted A) is the vector quantity defined so that its curl is equal to the magnetic field...

programming, a dope vector is a data structure used to hold information about a data object, especially its memory layout. Dope vectors are most commonly...

Vector Product Format (VPF) is a military standard for vector-based digital map products produced by the U.S. Department of Defense (DOD). It has been...

Vector Meldrew is a British artist and creative executive. He was a former lecturer at the Swedish design institute Hyper Island, and the creator of the...

rate of change of the direction of the tangent line, or the unit tangent vector, of the curve per unit distance along the curve. Curvature is expressed...

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...

known professionally as Malome Vector, was a Mosotho singer-songwriter and rapper. Born and raised in Roma, Maseru, Vector's musical career began at the...

of multidimensional vectors or infinite-dimensional vectors. The input of a vector-valued function could be a scalar or a vector (that is, the dimension...

in applied mathematics and vector calculus which has many applications in physics. For transport phenomena, flux is a vector quantity, describing the magnitude...

In special relativity, a four-vector (or 4-vector, sometimes Lorentz vector) is an element of a four-dimensional vector space object with four components...

{\displaystyle V\otimes W} of two vector spaces V {\displaystyle V} and W {\displaystyle W} (over the same field) is a vector space to which is associated...

In vector calculus, a Laplacian vector field is a vector field which is both irrotational and incompressible. If the field is denoted as v, then it is...

the same way. Contravariant vectors are often just called vectors and covariant vectors are called covectors or dual vectors. The terms covariant and contravariant...

In vector calculus, divergence is a vector operator that operates on a vector field, producing a scalar field giving the rate that the vector field alters...

In mathematics, given a vector space X with an associated quadratic form q, written (X, q), a null vector or isotropic vector is a non-zero element x...

in linear algebra, a linear subspace or vector subspace is a vector space that is a subset of some larger vector space. A linear subspace is usually simply...

Vector Burn aka Oliver Scott, is a drum and bass producer from the US. With numerous releases on drum and bass labels of note in the US and Europe, his...

Vector tiles, tiled vectors or vectiles are packets of geographic data, packaged into pre-defined roughly-square shaped "tiles" for transfer over the...

theory, the vectorization of a matrix is a linear transformation which converts the matrix into a vector. Specifically, the vectorization of a m × n matrix...

characteristic vector may refer to: An eigenvector An indicator vector This disambiguation page lists articles associated with the title Characteristic vector. If...

mathematics, locally convex topological vector spaces (LCTVS) or locally convex spaces are examples of topological vector spaces (TVS) that generalize normed...

AVX-512 are 512-bit extensions to the 256-bit Advanced Vector Extensions SIMD instructions for x86 instruction set architecture (ISA) proposed by Intel...

Vector Launch, Inc. (formerly Vector Space Systems) was an American space technology company which aims to launch suborbital and orbital payloads. Vector...

column vectors.) The transpose (indicated by T) of any row vector is a column vector, and the transpose of any column vector is a row vector: [ x 1 x...

universal geometric algebra is a type of geometric algebra generated by real vector spaces endowed with an indefinite quadratic form. Some authors restrict...

complex random vector is typically a tuple of complex-valued random variables, and generally is a random variable taking values in a vector space over the...

Vector autoregression (VAR) is a statistical model used to capture the relationship between multiple quantities as they change over time. VAR is a type...

Vector control is any method to limit or eradicate the mammals, birds, insects or other arthropods (here collectively called "vectors") which transmit...

fundamental vector fields are instruments that describe the infinitesimal behaviour of a smooth Lie group action on a smooth manifold. Such vector fields find...

In applied mathematics and dynamical system theory, Lyapunov vectors, named after Aleksandr Lyapunov, describe characteristic expanding and contracting...

Actian Vector (formerly known as VectorWise) is an SQL relational database management system designed for high performance in analytical database applications...

fonts, colors, spacing) to Web documents. Scalable Vector Graphics (SVG) is an XML-based vector graphics format for defining two-dimensional graphics...

Vector 3 is a science fiction combat microgame published by Simulations Publications, Inc. (SPI) in 1979. Vector 3 is a tactical space combat game involving...

Smooth vector may refer to: Smooth vector for a strongly continuous group action; see group action Smooth vector field on a differentiable manifold; see...

physics, spinors (pronounced "spinner"; /spɪnər/) are elements of a complex vector space that can be associated with Euclidean space. Spinors can be thought...

include: ic vector (or interval-class vector), PIC vector (or pitch-class interval vector) and APIC vector (or absolute pitch-class interval vector, which...

stable vector bundle is a (holomorphic or algebraic) vector bundle that is stable in the sense of geometric invariant theory. Any holomorphic vector bundle...

Vector-H (Vector Heavy) was a planned two-stage or three-stage orbital expendable launch vehicle in development by the American aerospace company Vector...

In mathematics, vector spherical harmonics (VSH) are an extension of the scalar spherical harmonics for use with vector fields. The components of the...

Vector TD (including Vector TD 2, Vector TDx) was a popular flash game from 2007, ported to PSP in 2010 (the price was $3.99), PlayStation 3, iPhone that...

a probability vector or stochastic vector is a vector with non-negative entries that add up to one. Underlying every probability vector is an experiment...

In computing, chaining is a technique used in vector processors in which vector registers generate interim results which can be used immediately, without...

Arc Vector is an electric motorcycle made by British motorcycle manufacturer Arc Vehicles from 2017 to 2019 and by the company's successor Arc V from 2022...

In mathematics, convenient vector spaces are locally convex vector spaces satisfying a very mild completeness condition. Traditional differential calculus...

In vector calculus, a vector potential is a vector field whose curl is a given vector field. This is analogous to a scalar potential, which is a scalar...

Vector Graphic, Inc., was an early microcomputer company founded in 1976, the same year as Apple Computer, during the pre-IBM PC era, along with the NorthStar...

prior to its release. Vector and the band made a brief appearance in the promotional manga Sonic the Hedgehog Story Comic. Vector then made his official...

reset vector is the default location a central processing unit will go to find the first instruction it will execute after a reset. The reset vector is a...

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...

separating vector is important in the theory of von Neumann algebras, and, in particular, in Tomita–Takesaki theory. A related notion is that of a vector that...

Vector Sport is a British sports car racing team currently competing in the European Le Mans Series. Founded in 2021 by Gary Holland, a former team manager...

technique in natural language processing for obtaining vector representations of words. These vectors capture information about the meaning of the word based...

graphics, image tracing, raster-to-vector conversion or raster vectorization is the conversion of raster graphics into vector graphics. An image does not have...

and force is a vector (i.e. having both magnitude and direction), so it follows that an electric field may be described by a vector field. The electric...

In celestial mechanics, the eccentricity vector of a Kepler orbit is the dimensionless vector with direction pointing from apoapsis to periapsis and with...

acting smoothly on the manifold M, then it acts on the vector fields, and the vector space of vector fields fixed by the group is closed under the Lie bracket...

probability and statistics, a multivariate random variable or random vector is a list or vector of mathematical variables each of whose value is unknown, either...

Vector was an American rock band formed in Sacramento, California, in the early 1980s by Jimmy Abegg and Steve Griffith. The band had several drummers...

In high energy physics, a vector meson is a meson with total spin 1 and odd parity (usually noted as JP = 1−). Vector mesons have been seen in experiments...

Vector-R (Vector Rapid) is a two-stage orbital expendable launch vehicle under development by the American aerospace company Vector Launch to cover the...

VectorLinux, abbreviated VL, was a Linux distribution for the x86 platform based on the Slackware Linux distribution, originally developed by Canadian...

inputs and outputs to a production process. A production vector represents a process as a vector containing an entry for every commodity in the economy...

A vector directory number (VDN) is an extension on an automatic call distributor that directs an incoming call to a "vector" — a user-defined sequence...

In 3-dimensional geometry and vector calculus, an area vector is a vector combining an area quantity with a direction, thus representing an oriented area...

bracket of vector fields, also known as the Jacobi–Lie bracket or the commutator of vector fields, is an operator that assigns to any two vector fields X...

An impulse vector, also known as Kang vector, is a mathematical tool used to graphically design and analyze input shapers that can suppress residual vibration...

In electrical engineering, a vector group, officially called a connection symbol, is the International Electrotechnical Commission (IEC) method of categorizing...

linear hull or just span) of a set S {\displaystyle S} of elements of a vector space V {\displaystyle V} is the smallest linear subspace of V {\displaystyle...

physics and mathematics, a pseudovector (or axial vector) is a quantity that transforms like a vector under continuous rigid transformations such as rotations...

The Vector Institute (French: Institut Vecteur) is a private, non-profit artificial intelligence research institute in Toronto founded in 2017, focusing...

True vector may refer to: A polar vector, one that is not a pseudovector (or axial vector). More formally, a true vector is a contravariant vector, see:...

spaces of any finite or infinite dimension. A Hilbert space is an abstract vector space, and it has the additional structure of an inner product that allows...

In mathematics, a symplectic vector space is a vector space V {\displaystyle V} over a field F {\displaystyle F} (for example the real numbers R {\displaystyle...

In molecular cloning, a vector is any particle (e.g., plasmids, cosmids, Lambda phages) used as a vehicle to artificially carry a foreign nucleic sequence...

Vector is a 2012 side-scrolling platform game developed and published by Cyprus-based studio Nekki for Windows, Android, and iOS. The objective of the...

In computer science, a 4D vector is a 4-component vector data type. Uses include homogeneous coordinates for 3-dimensional space in computer graphics,...

Vector-06C (Russian: Вектор-06Ц) is a home computer with unique graphics capabilities that was designed and mass-produced in USSR in the late 1980s. Vector-06C...

physics, in particular electromagnetism, the Riemann–Silberstein vector or Weber vector named after Bernhard Riemann, Heinrich Martin Weber and Ludwik Silberstein...

disruption. Climate change further contributes by altering the distribution of vectors such as mosquitoes and ticks, thereby influencing transmission dynamics...

vectors can describe finite sums (via finite-dimensional vector spaces), infinite series (via vectors in sequence spaces), and integrals (via vectors...

Olanrewaju Ogunmefun, better known by his stage name Vector, is a Nigerian rapper, singer and songwriter. He has released three studio albums, including...

A vector graphic editor is a computer program that enables its users to create, compose and edit images with the use of mathematical and geometrical commands...

thereby represented as a hyperdimensional (long) vector, which is called a hypervector. A hyperdimensional vector (hypervector) could include thousands of numbers...

A viral vector vaccine is a vaccine that uses a viral vector to deliver genetic material (DNA) that can be transcribed by the recipient's host cells as...

A projective vector field (projective) is a smooth vector field on a semi Riemannian manifold (p.ex. spacetime) M {\displaystyle M} whose flow preserves...

A vector operator is a differential operator used in vector calculus. Vector operators include: Gradient is a vector operator that operates on a scalar...

Strike Vector is a first-person shooter video game developed by the French independent studio Ragequit Corporation. The game is built on the Unreal Development...

Vector Analysis is a textbook by Edwin Bidwell Wilson, first published in 1901 and based on the lectures that Josiah Willard Gibbs had delivered on the...

Vector Informatik develops software tools and components for networking of electronic systems based on the serial bus systems CAN, LIN, FlexRay, MOST,...

vector table (IVT) is a data structure that associates a list of interrupt handlers with a list of interrupt requests in a table of interrupt vectors...

Vector is the fifth studio album by English progressive metal band Haken. It was released on 26 October 2018 through Inside Out Music. It is the shortest...

Vector Synthesis is a type of audio synthesis introduced by Sequential Circuits in the Prophet VS synthesizer during 1986. The concept was subsequently...

secondary vector bundle structure refers to the natural vector bundle structure (TE, p∗, TM) on the total space TE of the tangent bundle of a smooth vector bundle...

VectorBase is one of the five Bioinformatics Resource Centers (BRC) funded by the National Institute of Allergy and Infectious Diseases (NIAID), a component...

0 {\displaystyle \sigma _{0}} ), the Pauli matrices form a basis of the vector space of 2 × 2 {\displaystyle 2\times 2} Hermitian matrices over the real...

{\displaystyle \sigma _{ij}} and relates a unit-length direction vector e to the traction vector T(e) across a surface perpendicular to e: T ( e ) = e ⋅ σ or...

programming, an Iliffe vector, also known as a display, is a data structure used to implement jagged arrays. An Iliffe vector for an n-dimensional array...

The Vector Map (VMAP), also called Vector Smart Map, is a vector-based collection of geographic information system (GIS) data about Earth at various levels...

defined as follows: T is the unit vector tangent to the curve, pointing in the direction of motion. N is the normal unit vector, the derivative of T with respect...

In mathematics, the vector flow refers to a set of closely related concepts of the flow determined by a vector field. These appear in a number of different...

Vector NTI was a commercial bioinformatics software package used by many life scientists in the early 2000s to work, among other things, with nucleic acids...

Space vector modulation (SVM) is an algorithm for the control of pulse-width modulation (PWM), invented by Gerhard Pfaff, Alois Weschta, and Albert Wick...

Milvus is a distributed vector database developed by Zilliz. It is available as both open-source software and a cloud service called Zilliz Cloud. Milvus...

In geometry, a normal is an object (e.g. a line, ray, or vector) that is perpendicular to a given object. For example, the normal line to a plane curve...

Vector networks are a generalization of the idea of a drawing path in vector graphics programs that allows networks of points and links that have a generalized...

vector bundles, the Levi-Civita connection on the tangent bundle of a pseudo-Riemannian manifold, which gives a standard way to differentiate vector fields...

The Multi-Vector Policy or Multi-Vector Doctrine (Russian: многовекторность, romanized: mnogovektornost) is a foreign policy doctrine that seeks to maintain...

In geometry, direction, also known as spatial direction, vector direction or relative direction, is the common characteristic of all rays which coincide...

Euclidean vectors, row or column vectors, etc., see Linear algebra and Vector space for details. The generators of a Lie group also form a vector space over...

Vector Training is a method of rowing training, developed in the 1960s as a winter training method. The first recorded usage of Vector Training was at...

Vector is the critical journal (sometimes called a fanzine) of the British Science Fiction Association (BSFA), established in 1958. The first issue of...

Vector Security, Inc. is an electronic security company in the United States. The company offers security services for both homes and businesses in the...

expression vector, otherwise known as an expression construct, is usually a plasmid or virus designed for gene expression in cells. The vector is used to...

In mathematics, a vector-valued differential form on a manifold M is a differential form on M with values in a vector space V. More generally, it is a...

The Vector W2 is a concept car constructed by Vector Motors in 1978. The concept went into production as the Vector W8 in 1990. The name comes from the...

contain general and technical information about publicly available raster-to-vector conversion software. Adobe Freehand (1988–2003) Adobe Streamline (1989–2001)...

Vector facility may refer to: Vector facility on the IBM 3090 Vector Facility for z/Architecture Vector processor This disambiguation page lists articles...

A vector addition system (VAS) is one of several mathematical modeling languages for the description of distributed systems. Vector addition systems were...

with standard coordinates v = (x, y), it should be written as a column vector, and multiplied by the matrix R: R v = [ cos ⁡ θ − sin ⁡ θ sin ⁡ θ cos ⁡...

In physics, vector meson dominance (VMD) was a model developed by J. J. Sakurai in the 1960s before the introduction of quantum chromodynamics to describe...

the Sphere Vector Field Theory, sometimes called the hedgehog theorem) states that there is no non-vanishing continuous tangent vector field on even-dimensional...

quaternionic vector space is a module over the quaternions. Since the quaternion algebra is division ring, these modules are referred to as "vector spaces"...

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...

In vector calculus a solenoidal vector field (also known as an incompressible vector field, a divergence-free vector field, or a transverse vector field)...

geometry, especially the theory of space curves, the Darboux vector is the angular velocity vector of the Frenet frame of a space curve. It is named after...

In vector calculus, a Beltrami vector field, named after Eugenio Beltrami, is a vector field in three dimensions that is parallel to its own curl. That...

A History of Vector Analysis (1967) is a book on the history of vector analysis by Michael J. Crowe, originally published by the University of Notre Dame...

Vector General (VG) was a series of graphics terminals and the name of the Californian company that produced them. They were first introduced in 1969 and...

Threat Vector is a techno-thriller novel, written by Tom Clancy and co-written with Mark Greaney, and published on December 4, 2012. A direct sequel to...

Vector Packet Processing (VPP) platform is an extensible, open-source framework, which offers the functionality of network switches or routers. Vector...

Vector Foiltec is a business using transparent plastic (ETFE) cushions filled with air as an architectural cladding technology. This solution can be better...

numerical representations called tokens, and each token is converted into a vector via lookup from a word embedding table. At each layer, each token is then...

{r_{2}-r_{1}} }{|\mathbf {r_{2}-r_{1}} |}}} is the unit vector from body 1 to body 2. It can be seen that the vector form of the equation is the same as the scalar...

Hertz vectors, or the Hertz vector potentials, are an alternative formulation of the electromagnetic potentials. They are most often introduced in electromagnetic...

Given a knot vector t, a degree n, and a smoothness vector r for t, one can consider the set of all splines of degree ≤ n having knot vector t and smoothness...

algebra, the triple product is a product of three 3-dimensional vectors, usually Euclidean vectors. The name "triple product" is used for two different products...

algebra, two vectors in an inner product space are orthonormal if they are orthogonal unit vectors. A unit vector means that the vector has a length of...

allows the extension of bounded linear functionals defined on a vector subspace of some vector space to the whole space. The theorem also shows that there...

In vector calculus, the Jacobian matrix (/dʒəˈkoʊbiən/, /dʒɪ-, jɪ-/) of a vector-valued function of several variables is the matrix of all its first-order...

Vector field reconstruction is a method of creating a vector field from experimental or computer-generated data, usually with the goal of finding a differential...

A bit array (also known as bit map, bit set, bit string, or bit vector) is an array data structure that compactly stores bits. It can be used to implement...

Gradient vector flow (GVF), a computer vision framework introduced by Chenyang Xu and Jerry L. Prince, is the vector field that is produced by a process...

In neuroscience, a population vector is the sum of the preferred directions of a population of neurons, weighted by the respective spike counts. The formula...

electromagnetic radiation is a confinement of the electric field vector or magnetic field vector to a given plane along the direction of propagation. The term...

and celestial dynamics, the orbital state vectors (sometimes state vectors) of an orbit are Cartesian vectors of position ( r {\displaystyle \mathbf {r}...

registers hold read-only values such as zero, one, or pi. Vector registers hold data for vector processing done by SIMD instructions (Single Instruction...

algebra Λ(V) of a vector space V. This algebra is graded, associative and alternating, and consists of linear combinations of simple k-vectors (also known as...

If the input abelian groups have additional structure (for example, are vector spaces, modules, or topological abelian groups), then the direct sum also...

statistics and econometrics, Bayesian vector autoregression (BVAR) uses Bayesian methods to estimate a vector autoregression (VAR) model. BVAR differs...

In epidemiology, vector incrimination refers to the process of proving that a particular species, a specific vector of disease, is responsible for the...

reciprocal space or k space; it is the dual of physical space considered as a vector space. In other words, the reciprocal lattice is the sublattice which is...

CCGS Vector is a hydrographic survey vessel in the Canadian Coast Guard. The ship was constructed in Canada and entered service in 1967 as a coastal research...

connection on the tangent bundle), then this connection allows one to transport vectors of the manifold along curves so that they stay parallel with respect to...

Sparse matrix–vector multiplication (SpMV) of the form y = Ax is a widely used computational kernel existing in many scientific applications. The input...

curve (commonly arc length or, for a vector field, the scalar product of the vector field with a differential vector in the curve). This weighting distinguishes...

theorem of vector calculus states that certain differentiable vector fields can be resolved into the sum of an irrotational (curl-free) vector field and...

represented as a vector in a Hilbert space. Mixed states are statistical mixtures of pure states and cannot be represented as vectors on that Hilbert space...

ordered vector space or partially ordered vector space is a real vector space equipped with a partial order that is compatible with the vector space operations...

only if it is equal to its conjugate transpose, that is, for any pair of vectors v , w , {\displaystyle \mathbf {v} ,\mathbf {w} ,} it satisfies ⟨ v , A...

or sphering transformation is a linear transformation that transforms a vector of random variables with a known covariance matrix into a set of new variables...

TurboQuant is an online vector quantization algorithm for compressing high-dimensional Euclidean vectors while preserving their geometric structure. It...

determined by constructing the Stokes vector for the input light and applying Mueller calculus, to obtain the Stokes vector of the light leaving the system...

In computer science, a vectored interrupt is a processing technique in which the interrupting device directs the processor to the appropriate interrupt...

Field-oriented control (FOC), also called vector control, is a variable-frequency drive (VFD) control method in which the stator currents of a three-phase...

Vector Limited is a New Zealand energy company, which runs a portfolio of businesses delivering energy and communication services across Australasia and...

respect to a vector as a column vector or a row vector. Both of these conventions are possible even when the common assumption is made that vectors should be...

In mathematics and physics, a Hamiltonian vector field on a symplectic manifold is a vector field defined for any energy function or Hamiltonian. Named...

In vector calculus, a complex lamellar vector field is a vector field which is orthogonal to a family of surfaces. In the broader context of differential...

The error vector magnitude or EVM (sometimes also called relative constellation error or RCE) is a measure used to quantify the performance of a digital...

Thor Vector Graphics (commonly abbreviated as ThorVG) is an open-source library designed to render vector-based motion graphics and animation, such as...

related to vectors: Vector algebra relations — regarding operations on individual vectors such as dot product, cross product, etc. Vector calculus identities...

quantum mechanics, wave function collapse, also called reduction of the state vector, occurs when a wave function—initially in a superposition of several eigenstates—reduces...

This page lists some examples of vector spaces. See vector space for the definitions of terms used on this page. See also: dimension, basis. Notation...

Vector Markup Language (VML) is an obsolete XML-based file format for two-dimensional vector graphics. It was specified in Part 4 of the Office Open XML...

ordered basis of a vector space of finite dimension n allows representing uniquely any element of the vector space by a coordinate vector, which is a finite...

magnitude and direction of a force are both important, force is a vector quantity (force vector). The SI unit of force is the newton (N), and force is often...

lossy compression or lossless compression. For graphic design applications, vector formats are often used. Some image file formats support transparency. Raster...

multiplies within the vector, whereas in others the vector mainly serves as a carrier. Distinguishing among reservoir, source, and vector is important in epidemiology...

A vector signal analyzer is an instrument that measures the magnitude and phase of the input signal at a single frequency within the IF bandwidth of the...

mathematics, the complex conjugate of a complex vector space V {\displaystyle V\,} is a complex vector space V ¯ {\displaystyle {\overline {V}}} that has...

G-module with a trivial action. As a vector space (over a field R), the zero vector space, zero-dimensional vector space or just zero space. These objects...

A number of vector graphics editors exist for various platforms. Potential users of these editors will make comparisons based on factors such as the availability...

In an Oracle database, a change vector consists of a single change to a single data block. A change vector is the smallest unit of change recorded in a...

quantum computers. For applications in such cryptosystems, lattices over vector spaces (often Q n {\displaystyle \mathbb {Q} ^{n}} ) or free modules (often...

In computing Vector Pascal is an open-source compiler implemented in Java that extends the Pascal programming language. It is designed to support efficient...

In computer security, an attack vector is a specific path, method, or scenario that can be exploited to break into an IT system, thus compromising its...

In electromagnetism, the magnetic moment or magnetic dipole moment is a vector quantity which characterizes the strength and orientation of a magnet or...

In linear algebra, the quotient of a vector space V {\displaystyle V} by a subspace U {\displaystyle U} is a vector space obtained by "collapsing" U {\displaystyle...

mathematics, scalar multiplication is one of the basic operations defining a vector space in linear algebra (or more generally, a module in abstract algebra)...

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)...

In mathematics, a holomorphic vector bundle is a complex vector bundle over a complex manifold X such that the total space E is a complex manifold and...

define a vector space through the operation of scalar multiplication: a vector (denoted v) multiplied by a scalar (denoted a) produces another vector (av)...

covariant derivative is a way of specifying a derivative along tangent vectors of a manifold. Alternatively, the covariant derivative is a way of introducing...

that fits in with vector algebra. There are numerous ways to multiply two Euclidean vectors. The dot product takes in two vectors and returns a scalar...

can be used. In classical electrostatics, the electrostatic field is a vector quantity expressed as the gradient of the electrostatic potential, which...

needs to track a target. Consider a rigid body, with three orthogonal unit vectors fixed to its body (representing the three axes of the object's local coordinate...

dimension of a vector space is the number of vectors in any basis for the space, i.e. the number of coordinates necessary to specify any vector. This notion...

A vector voltmeter is a two-channel high-frequency sampling voltmeter that measures phase as well as voltage of two input signals of the same frequency...

relativistic vector function from which the electromagnetic field can be derived. It combines both an electric scalar potential and a magnetic vector potential...

Plant transformation vectors are plasmids that have been specifically designed to facilitate the generation of transgenic plants. The most commonly used...

a pair of vector fields consisting of one vector for the electric field and one for the magnetic field at each point in space. The vectors may change...

mathematics, a bivector or 2-vector is a quantity in exterior algebra or geometric algebra that extends the idea of scalars and vectors. Considering a scalar...

For example, the set of functions from any set X into a vector space has a natural vector space structure given by pointwise addition and scalar multiplication...

logo, new navigation tools, and a link wizard. Vector 2022, an update to Wikipedia's previous skin Vector 2010, was announced in September 2020, and initially...

In mathematics, the Reeb vector field, named after the French mathematician Georges Reeb, is a notion that appears in various domains of contact geometry...

Doubling Multiply Subtract, Returning High Half. The instructions are added in vector and scalar forms. A set of AArch64 load and store instructions that can...

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...

Activity vector analysis (AVA) is a psychometric questionnaire designed to measure four personality factors or vectors: aggressiveness, sociability, emotional...

mathematics, a norm in general is a function from a vector space to non-negative numbers. When the vector space comprises matrices, such norms are referred...

mathematics, especially the field of computational group theory, a Schreier vector is a tool for reducing the time and space complexity required to calculate...

position which returns a scalar as a value), or a vector field (that is, a function which returns a vector as value). If a region R is not flat, then it is...

In mathematics, a double vector bundle is the combination of two compatible vector bundle structures, which contains in particular the tangent T E {\displaystyle...

sparse vectors. Sparse vectors, which encode the identity of a word, are typically dictionary-length and contain mostly zeros. Dense vectors, which encode...

A vector magnetograph is a type of imaging telescope that can estimate the 3-D vector of the magnetic field on a distant body with a resolved line spectrum...

object. It is a vector quantity, possessing a magnitude and a direction. If m is an object's mass and v is its velocity (also a vector quantity), then...

a unit area of a chosen cross section. The current density vector is defined as a vector whose magnitude is the current density at a given point in space...

A crystal system is described by three vectors. In the monoclinic system, the crystal is described by vectors of unequal lengths, as in the orthorhombic...

The Aerodyne Systems Vector is a family of American ultralight aircraft that was designed by Berndt Petterson, Mike McCarron and Paul Yarnell and produced...

a coordinate vector space (such as R n {\displaystyle \mathbb {R} ^{n}} or C n {\displaystyle \mathbb {C} ^{n}} ) is the set of vectors, each of whose...

In graphics design, a vector path is a drawn or generated outline that represents a series of smooth straight (vector) lines instead of raster dots (or...

The Vector Avtech WX-3 is a prototype sports car engineered, developed and manufactured by Vector Motors of Wilmington, California in 1992. Conceived...

form can, given a suitable choice of basis (e1, ..., en), be applied to a vector x = x1e1 + ⋯ + xnen, giving q ( x ) = ( x 1 2 + ⋯ + x k 2 ) − ( x k + 1...

mathematics, measure theory in topological vector spaces refers to the extension of measure theory to topological vector spaces. Such spaces are often infinite-dimensional...

In vector calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, is a theorem relating the flux of a vector field through...

design, with an emphasis on real-time collaboration, utilizing a variety of vector graphics editor and prototyping tools. The Figma mobile app for Android...

analysis, a projection is a linear transformation P {\displaystyle P} from a vector space to itself (an endomorphism) such that P ∘ P = P {\displaystyle P\circ...

with similar vectors are treated as similar according to the model that produced the vectors. HNSW provides a way to search these vectors quickly, especially...

an orientation of a real vector bundle is a generalization of an orientation of a vector space; thus, given a real vector bundle π: E →B, an orientation...

more specifically in Morse theory, a gradient-like vector field is a generalization of gradient vector field. The primary motivation is as a technical tool...

tensor field (including scalar functions, vector fields and one-forms), along the flow defined by another vector field. This change is coordinate invariant...

A vector-based graphical user interface is a mostly conceptual type of graphical user interface where elements are drawn using vector information instead...

In statistical mechanics, the n-vector model or O(n) model is a simple system of interacting spins on a crystalline lattice. It was developed by H. Eugene...

as an educational tool teaching vectors. The game is also known under names such as Vector Formula, Vector Rally, Vector Race, Graph Racers, PolyRace, Paper...

whose vector part is p, and then performing the quaternion conjugation. The vector part of the resulting pure quaternion is the desired vector r. Clearly...

Gauge vector–tensor gravity (GVT) is a relativistic generalization of Mordehai Milgrom's modified Newtonian dynamics (MOND) paradigm where gauge fields...

In cryptography, an initialization vector (IV) or starting variable is an input to a cryptographic primitive being used to provide the initial state. The...

In applied mathematics, bred vectors are perturbations related to Lyapunov vectors, that capture fast-growing dynamical instabilities of the solution...

defined using a natural generalization of the p-norm for finite-dimensional vector spaces. They are sometimes called Lebesgue spaces, named after Henri Lebesgue...

Q-vectors are used in atmospheric dynamics to understand physical processes such as vertical motion and frontogenesis. Q-vectors are not physical quantities...

In mathematics, a Relevance Vector Machine (RVM) is a machine learning technique that uses Bayesian inference to obtain parsimonious solutions for regression...

vector and a vir helper plasmid. The two plasmids are used together (thus binary) to produce genetically modified plants. They are artificial vectors...

Vector overlay is an operation (or class of operations) in a geographic information system (GIS) for integrating two or more vector spatial data sets...

Inkscape is a free and open-source software vector graphics editor released under a GNU General Public License (GPL) 2.0 or later. It is used for both...

field or field quantity is a physical quantity – represented by a scalar, vector, spinor, or tensor – that has a value for each point in space and time....

surface, and the reference vector points to true north. The azimuth is the angle between the north vector and the star's vector on the horizontal plane....

Vector Direct was a direct response television company showing longform infomercials on the Freeview, Virgin Media cable service and Sky Digital platforms...

three-dimensional space and to determine the direction of the cross product of two vectors, as well as to establish the direction of the force on a current-carrying...

instantaneous rate at which a function changes along a specified vector through a given point. If the vector is multiplied by a scalar, the corresponding directional...

VectorCell was a French video game developer founded in 2005. Owned by Paul Cuisset and Lexis Numérique, the company developed Amy (2012) for PlayStation...

In the computer programming, vector slime refers to a class of visual effects achieved by procedural deformation of geometric shapes. The techniques appear...

topological vector space is locally convex if and only if its topology is induced by a family of seminorms. Let X {\displaystyle X} be a vector space over...

for rotating a vector in space, given an axis and angle of rotation. By extension, this can be used to transform all three basis vectors to compute a rotation...

The State Research Center of Virology and Biotechnology VECTOR of Rospotrebnadzor (Russian: Государственный научный центр вирусологии и биотехнологии «Вектор»...

a 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...

In cosmological perturbation theory, the scalar–vector–tensor decomposition is a decomposition of the most general linearized perturbations of the...

"matrices". In some cases the term "vector" is used in computing to refer to an array, although tuples rather than vectors are the more mathematically correct...

equivalent vector code, and an order of magnitude or greater effectiveness (work done per instruction) is achievable with Vector ISAs. ARM's Scalable Vector Extension...

Pyramid vector quantization (PVQ) is a method used in audio and video codecs to quantize and transmit unit vectors, i.e. vectors whose magnitudes are known...

is a four-vector in four-dimensional spacetime that represents the relativistic counterpart of velocity, which is a three-dimensional vector in space....

certain entities, such as vectors or tensors, change under a change of basis. The transformation that describes the new basis vectors as a linear combination...

certain special subspace of a vector space associated with a vector in the vector space and a linear transformation of the vector space. The cyclic subspace...

mathematics, the complexification of a vector space V over the field of real numbers (a "real vector space") yields a vector space VC over the complex number...

rotation in a three-dimensional Euclidean space by two quantities: a unit vector e indicating the direction of an axis of rotation, and an angle of rotation...

A path-vector routing protocol is a network routing protocol which maintains the path information that gets updated dynamically. Updates that have looped...

contravariance of vectors, upper indices represent components of contravariant vectors (vectors), lower indices represent components of covariant vectors (covectors)...

such as vectors. Geometric algebra is built out of two fundamental operations, addition and the geometric product. Multiplication of vectors results in...

the Fiedler vector. The Fiedler vector can be used to partition a graph. For the example graph in the introductory section, the Fiedler vector is ( 0.415...

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...

an alternative term for certain initial topologies, often on topological vector spaces or spaces of linear operators, for instance on a Hilbert space. The...

In pharmacology and medicine, vectorization of drugs refers to (intracellular) targeting with plastic, noble metal or silicon nanoparticles or liposomes...

isotropic vector field is a concept that refers to a vector field that maintains the same properties in all directions at each point in space. A vector field...

allows for the rapid and convenient detection of recombinant bacteria in vector-based molecular cloning experiments. This method of screening is usually...

geology and grade on maps and signs. A unit vector may also be used to represent an object's normal vector direction or the relative direction between...

described with respect to a reference frame. The position vector of a particle is a vector drawn from the origin of the reference frame to the particle...

A vector pack is a set or collection of vector graphics packaged around a common theme. Vector packs allow for quicker and easier iteration or prototyping...

for straightforward derivation of magnetic field B, while the fundamental vector here is H. The Biot–Savart law is used for computing the resultant magnetic...

There are two basic types of magnetometer measurement. Vector magnetometers measure the vector components of a magnetic field. Total field magnetometers...

four-dimensional spacetime. Momentum is a vector in three dimensions; similarly four-momentum is a four-vector in spacetime. The contravariant four-momentum...

mathematics, an invariant subspace of a linear mapping T : V → V i.e. from some vector space V to itself, is a subspace W of V that is preserved by T. More generally...

elements of V vectors and call elements of K scalars. If v1,...,vn are vectors and a1,...,an are scalars, then the linear combination of those vectors with those...

The "vector" type keyword is introduced to permit the declaration of native vector types, e.g., vector unsigned char foo; declares a 128-bit vector variable...

In vector calculus and physics, a vector field is an assignment of a vector to each point in a space. When these spaces are in (typically) three dimensions...

file). Vector data can be easier to register, scale, and re-project, which can simplify combining vector layers from different sources. Vector data is...

vector and a vector of weights, qualifying those observations whose result exceeds a threshold. Algorithms for classification from a feature vector include...

The entropic vector or entropic function is a concept arising in information theory. It represents the possible values of Shannon's information entropy...

all Euclidean vectors have a magnitude (see above). However, a vector in an abstract vector space does not possess a magnitude. A vector space endowed...

Vector Lovers is the moniker used by British electronic music producer Martin Wheeler. Wheeler, as described by Soma Records (his current label) is a "computer...

more generally, as the quotient of two vectors. A quaternion can be represented as the sum of a scalar and a vector. It can also be represented as the product...

quantum system is represented by a non-zero vector ψ {\displaystyle \psi } in H {\displaystyle H} . The vectors ψ {\displaystyle \psi } and λ ψ {\displaystyle...

Witt vector is an infinite sequence of elements of a commutative ring. Ernst Witt showed how to put a ring structure on the set of Witt vectors, in such...

is a function that can decide whether or not an input, represented by a vector of numbers, belongs to some specific class. It is a type of linear classifier...

Philippine-registered passenger ferry that sank after she collided with the oil tanker Vector on December 20, 1987. Built by Onomichi Dockyard Co., Ltd. [ja] (Onomichi...

In mathematics, a complex structure on a real vector space V {\displaystyle V} is an automorphism of V {\displaystyle V} that squares to the minus identity...

Killing vector field on a manifold of dimension n with (pseudo) Riemannian metric g {\displaystyle g} (also called a conformal Killing vector, CKV, or...

The Vector WX-8 was a sports car prototype manufactured by Vector Motors. It was first unveiled at the 2007 LA Auto Show, revealing the development and...

changes to a vector space basis (i.e., a coordinate rotation) but may be affected by translations (as in relative speed). A change of a vector space basis...

row are called row matrices or row vectors, and those with a single column are called column matrices or column vectors. A matrix with the same number of...

parasites, parasitic diseases, intermediate hosts, vectors and vector-borne pathogens. Parasites & Vector was established in 2008 as a merger of Filaria Journal...

the zero vector of the co-domain; the kernel is always a linear subspace of the domain. That is, given a linear map L : V → W between two vector spaces...

Thought vector is a term popularized by Geoffrey Hinton, the prominent deep-learning researcher, which uses vectors based on natural language to improve...

known as "Advisor XE", "Vectorization Advisor" or "Threading Advisor") is a design assistance and analysis tool for SIMD vectorization, threading, memory use...

The Greater Los Angeles County Vector Control District (GLACVCD) is a public health agency created in 1952 by the State of California's Health and Safety...

Vectorial Mechanics (1948) is a book on vector manipulation (i.e., vector methods) by Edward Arthur Milne, a highly decorated (e.g., James Scott Prize...

Scientists theorized that a virus could also be used as a vehicle, or vector, to deliver new genes into cells. One of the first scientists to report...

problems. It is the vector equivalent of register indirect addressing, with gather involving indexed reads, and scatter, indexed writes. Vector processors (and...

object's jerk. A vector-valued function y {\displaystyle \mathbf {y} } of a real variable sends real numbers to vectors in some vector space ⁠ R n {\displaystyle...

M} is a manifold T M {\displaystyle TM} which assembles all the tangent vectors in M {\displaystyle M} . As a set, it is given by the disjoint union of...

supervillain Gru formulates a plan to steal the Moon after a younger villain named Vector steals the Great Pyramid of Giza. As part of his plan, he adopts three orphan...

slightly. A random vector (that is, a random variable with values in Rn) is said to be a white noise vector or white random vector if its components each...

DNA of a single organism. The DNA is stored in a population of identical vectors, each containing a different insert of DNA. In order to construct a genomic...

In mathematics, the discussion of vector fields on spheres was a classical problem of differential topology, beginning with the hairy ball theorem, and...

each glyph in each face and size. This technology is largely obsolete. Vector fonts (including, and sometimes used as a synonym for, outline fonts) use...

Adobe Illustrator is a vector graphics editor and design software developed and marketed by Adobe. Originally designed for the Apple Macintosh, development...

{v} \times \mathbf {B} \right)} Here, × is the vector cross product, and all quantities in bold are vectors. In component form, the force is written as:...

maps complex, high-dimensional data into a lower-dimensional vector space of numerical vectors. It also denotes the resulting representation, where meaningful...

with two dimensions, typically indexed by UV coordinates. 2D vector A two-dimensional vector, a common data type in rasterization algorithms, 2D computer...

rasterization (American English) is the task of taking an image described in a vector graphics format (shapes) and converting it into a raster image which represents...

depth. Suppose V and W are vector spaces over the field K. The Cartesian product V × W can be given the structure of a vector space over K (Halmos 1974...

with the dimension of electric charge per time per area. Also known as vector current, it is used in the context of four-dimensional spacetime, rather...

k-means clustering is a method of vector quantization, originally from signal processing, that aims to partition n observations into k clusters in which...

functional analysis and order theory, a topological vector lattice is a Hausdorff topological vector space (TVS) X {\displaystyle X} that has a partial...

navigation, a state vector is a set of data describing exactly where an object is located in space, and how it is moving. A state vector typically will contain...

assigned to each word in a sentence. More generally, attention encodes vectors called token embeddings across a fixed-width sequence that can range from...

In spectroscopy and radiometry, vector radiative transfer (VRT) is a method of modelling the propagation of polarized electromagnetic radiation in low...

In the physical chemistry study of polymers, the end-to-end vector is the vector that points from one end of a polymer to the other end. If each monomer...

statistical learning and the co-inventor of the support-vector machine method and support-vector clustering algorithms. Vladimir Vapnik was born to a Jewish...

variations and differential geometry, the variational vector field is a certain type of vector field defined on the tangent bundle of a differentiable...

Spark Arena (also known as Auckland City Arena, and formerly as Vector Arena) is a multipurpose arena in Auckland, New Zealand. The venue is located at...

mathematics, a Riesz space, lattice-ordered vector space or vector lattice is a partially ordered vector space where the order structure is a lattice...

outgoing wave vectors (to the crystal and from the crystal, by scattering), and G {\displaystyle \mathbf {G} } is a crystal reciprocal lattice vector. Due to...

{r_{12}=r_{1}-r_{2}} } is the displacement vector between the charges, r ^ 12 {\textstyle {\hat {\mathbf {r} }}_{12}} a unit vector pointing from q 2 {\textstyle q_{2}}...

Park) is a tensor that rotates the reference frame of a three-element vector or a three-by-three element matrix in an effort to simplify analysis. The...

vector). In a vector space, the null vector is the neutral element of vector addition; depending on the context, a null vector may also be a vector mapped...

A dispersal vector is an agent of biological dispersal that moves a dispersal unit, or organism, away from its birth population to another location or...

geometry. In condensed mathematics, liquid vector spaces are alternatives to complete topological vector spaces, the category of which has better abstract...

and their notations. Note that bold text indicates that the quantity is a vector. List of letters used in mathematics and science Glossary of mathematical...

An affine vector field (sometimes affine collineation or affine) is a projective vector field preserving geodesics and preserving the affine parameter...

independent vectors. A vector can be pictured as an arrow. The vector's magnitude is its length, and its direction is the direction the arrow points. A vector in...

primordial element is a particular kind of a vector in a vector space. Let V {\displaystyle V} be a vector space over a field F {\displaystyle \mathbb...

The vector-radix FFT algorithm, is a multidimensional fast Fourier transform (FFT) algorithm, which is a generalization of the ordinary Cooley–Tukey FFT...

which all variables are allowed to vary). Partial derivatives are used in vector calculus and differential geometry. The partial derivative of a function...

raster graphics and vector graphics, with further 2D and 3D variants. Many graphics programs focus exclusively on either vector or raster graphics, but...

is an extension of vector algebra, providing additional algebraic structures on vector spaces, with geometric interpretations. Vector algebra uses all dimensions...

In mathematics, the dimension theorem for vector spaces states that all bases of a vector space have equally many elements. This number of elements may...

Rather, they are a vector that transmits mosquito-borne diseases. Dogs seldom kill humans directly. Rather, they are primarily a vector that transmits rabies...

mention that it is a vector space after an origin has been specified. This identification permits points to be viewed as vectors and vice versa. For any...

invented by R. C. Jones in 1941. Polarized light is represented by a Jones vector, and linear optical elements are represented by Jones matrices. When light...

std::vector<T> implements an array with fast random access and an ability to automatically resize when appending elements. std::inplace_vector<T> implements...

(Virtual Vector Architecture) is a technology from IBM for coupling together multiple scalar floating point units to act as a single vector processor...

compression, twin vector quantization is related to vector quantization, but the speed of the quantization is doubled by the secondary vector analyzer. By...

exterior product of two basis vectors, and its Hodge dual is the normal vector given by their cross product; conversely, any vector is dual to the oriented...

the final vector. In vectoring mode, a vector is taken as input, and the rotation directions are chosen so that the y coordinate of the vector approaches...

Scan2CAD is a commercial raster-to-vector and vector-to-vector conversion and editing computer-aided design software application which is developed and...

of matrix. A vector of ones or all-ones vector is matrix of ones having row or column form; it should not be confused with unit vectors. For an n × n...

specific task, integrated onto the same die. These units are: a CPU core, two Vector Processing Units (VPU), a 10-channel DMA unit, a memory controller, and...

Vector-Field Consistency is a consistency model for replicated data (for example, objects), initially described in a paper which was awarded the best-paper...

The Hall Vector 1 is an American high-wing, ultralight glider that was designed by Stan Hall for serious cross-country flights. The Vector 1 was intended...

rectangular grid of tiny colored (usually square) so-called pixels. Unlike vector graphics which use mathematical formulas to describe shapes and lines, raster...

example speed) and a vector (a magnitude and a direction, like velocity), a tensor field is a generalization of a scalar field and a vector field that assigns...

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. Matrix...

ARM's Scalable Vector Extension. That is, each vector in up to 32 vectors is the same length. The application specifies the total vector width it requires...

domain of a random vector, or essentially the number of "free" components (how many components need to be known before the vector is fully determined)...

Citizen Sleeper 2: Starward Vector is a 2025 role-playing video game developed by Jump Over the Age and published by Fellow Traveller. A sequel to Citizen...

the W and Z bosons are vector bosons that are together known as the weak bosons or more generally as the intermediate vector bosons. These elementary...

multiplied with a vector has the same effect as subtracting the mean of the components of the vector from every component of that vector. The centering matrix...

Attack Vector: Tactical (AV:T) is a space combat wargame published by Ad Astra Games. The game is consciously designed to model comparatively realistic...

pseudovector meson or axial vector meson is a meson with total spin 1 and even parity (+) (usually denoted JP = 1+). Compare to a vector meson, which has a total...

mathematics, an algebra over a field (often simply called an algebra) is a vector space equipped with a bilinear product. Thus, an algebra is an algebraic...

inheritance local VectorMult = {} VectorMult.__index = VectorMult setmetatable(VectorMult, Vector) -- Make VectorMult a child of Vector function VectorMult:multiply(value)...

often used in functional analysis), also called a quasi-seminorm, on a vector space is a real-valued function with some of the properties of a seminorm...

so it permits tangent vector fields to be differentiated as if they were functions on the manifold with values in a fixed vector space. Connections are...

right-hand vector is within that span. If every vector within that span has exactly one expression as a linear combination of the given left-hand vectors, then...

An infinite-dimensional vector function is a function whose values lie in an infinite-dimensional topological vector space, such as a Hilbert space or...

and a unit vector for the axis, or as a Euclidean vector obtained by multiplying the angle with this unit vector, called the rotation vector (although...

equations A x = b {\displaystyle \mathbf {A} \mathbf {x} =\mathbf {b} } for the vector x {\displaystyle \mathbf {x} } , where the known n × n {\displaystyle n\times...

matrix giving the covariance between each pair of elements of a given random vector. Intuitively, the covariance matrix generalizes the notion of variance to...

arrays can be called a vectorized operation, regardless of whether it is executed on a vector processor, which implements vector instructions. Array programming...

The boundary vector field (BVF) is an external force for parametric active contours (i.e. Snakes). In the fields of computer vision and image processing...

lightlike 4-vector is orthogonal to itself. Invariance of the magnitude of a vector: The magnitude of a vector is the inner product of a 4-vector with itself...

scalar multiplication of vector spaces takes a scalar and a vector to produce a vector, and scalar product takes two vectors to produce a scalar. Binary...

In mathematics, negacyclic convolution is a convolution between two vectors a and b. It is also called skew circular convolution or wrapped convolution...

an affine connection, a geodesic is defined to be a curve whose tangent vectors remain parallel if they are transported along it. Applying this to the...

can be viewed as generated by a solenoid's vector potential acting on the electron or the electron's vector potential acting on the solenoid or the electron...

In mathematics, a braided vector space V {\displaystyle \;V} is a vector space together with an additional structure map τ {\displaystyle \tau } symbolizing...

of a vector space V {\displaystyle V} equipped with a bilinear form B {\displaystyle B} is the set W ⊥ {\displaystyle W^{\perp }} of all vectors in V...

hyperplane can be defined by its normal vector, a unit vector v → ∈ V {\textstyle {\vec {v}}\in V} (a vector with length 1 {\textstyle 1} ) that is orthogonal...

theorem in vector calculus on three-dimensional Euclidean space and real coordinate space, R 3 {\displaystyle \mathbb {R} ^{3}} . Given a vector field, the...