potential. wiktionary vector vectorial vectors Vector , a Latin word meaning carrier , may refer in English to tocright In mathematics and physics see Vector mathematics and physics In computer science A one dimensional Array data structure array Vector C , a type in the C Standard Template Library referring to a sequence container Vector clock , an algorithm for generating a partial ordering of events in a distributed system and detecting causality violations Vector malware , methods used by computer viruses and malware to propagate themselves Distance vector routing protocol , a class of routing protocols used in packet switched networks for computer communications Dope vector , a data structure used to store information about an array Feature vector , in pattern recognition and machine learning, an n dimensional vector of numerical features that represent some object Initialization vector , used in cryptography Interrupt vector , the location in memory of an interrupt handling routine Vector game , refers to any video game that uses a vector graphics display Vector monitor , a display device used for early computers Vector processor , a computer processor which works on arrays of several numbers at once Vector graphics , images defined by geometric primitives as opposed to bitmaps Scalable Vector Graphics , a family of specifications of XML based file format for describing two dimensional vector graphics Vector graphics editor , computer program that allows users to compose and edit vector graphics Vector Markup Language , an XML language used to produce vector graphics Vector Architect , a vector graphics editor designed by Owl Island Software Support vector ... Vector space model , an algebraic model for representing objects as vectors of identifiers Vector 06C , a computer developed in the USSR In biology Vector epidemiology , an organism, often an invertebrate arthropod, that transmits a pathogen from reservoir to host Vector molecular biology , vehicle ... more details
Other uses Unreferenced stub auto yes date December 2009 The Vector was an automobile prototype built by Vehicle Design Force of California. The non running concept was shown at the 1972 Los Angeles Auto Show. Gerald Wiegert , the car s designer, said that it would be powered by a DOHC Porsche engine and would be sold for 10,000. By 1980, the car had evolved into the running Vector W2 prototype. Category Vector Motors Classicpow auto stub ... more details
The Vector can refer to The Vector an Exotic show car produced by Jerry Wiegert . New Jersey Institute of Technology Vector The Vector , the student newspaper of the New Jersey Institute of Technology . disambig ... more details
In mathematics and physics , k vector may refer to The wave vector k Crystal momentum a multivector , also called a p vector, which are dual to differential k form p forms An element of a k dimensional vector space, especially a four vector is used in theory of relativity relativity to mean a quantity related to the four dimensional spacetime , and in analogy, the term three vector is sometimes used as a synonym for a spatial vector geometry vector in three dimensions. disambig ... more details
Smooth vector may refer to Smooth vector for a strongly continuous group action, see group action Smooth vector field on a differentiable manifold, see the tangent space . mathdab ... more details
In graphics design, a Vector path is a drawn or generated outline that represents a series of smooth straight vector lines instead of raster graphics raster dots or bitmap dots . Therefore, the paths are independent of resolution. Compu graphics stub Category Vector graphics ... more details
Multiple issues unreferenced December 2009 orphan February 2009 context October 2009 Hybrid vectors are Vector molecular biology vector virus es that are genetically engineered to have qualities of more than one vector. DEFAULTSORT Hybrid Vector Category Viruses Category Molecular biology Biotech stub Virus stub ... more details
In mathematics , a sparse vector is a Euclidean vectorvector whose elements are mostly zeros. Mathematically, a sparse vector has a low L0 norm Zero norm . See also Sparse matrix Norm mathematics Compressed sensing Category Vectors Linear algebra stub cs dk vektor pl Wektor rzadki ... more details
Unreferenced stub auto yes date December 2009 Vector decomposition refers to decomposing a Vector geometric vector of R sup n sup into several vectors, each linearly independent in mutually distinct directions in the n dimensional space . Vector decomposition in two dimensions In two dimensions, a vector can be decomposed in many ways. In the Cartesian coordinate system , the vector is decomposed into a portion along the math hat x math or math hat i math and the math hat y math or math hat j math directions. One of the most common situations is when given a vector with magnitude and direction or given in polar coordinate system polar form , it can be converted into the Vector geometric Addition and subtraction sum of two perpendicular vectors or converted to a Cartesian coordinate . Application in physics Vector decomposition is used in physics to help adding vectors and hence solve many mechanical problems involving force , work physics work , momentum , etc. See also coordinate system Helmholtz decomposition decomposition of a vector field DEFAULTSORT Vector Decomposition Category Introductory physics Phys stub ... more details
Other uses Null disambiguation In linear algebra , the null vector or zero vector is the vector geometric vector 0, 0, , 0 in Euclidean space , all of whose components are zero. It is usually written with an arrow head above or below it math vec 0 math or 0 or simply 0. A zero vector has arbitrary direction .... In vector spaces with an inner product for which the requirement of positive definiteness has been dropped, a vector that has zero length is referred to as a null vector. The term zero vector is then still reserved for the additive identity of the vector spaces. Linear algebra For a general vector space , the zero vector is the uniquely determined vector that is the identity element for vector addition . The zero vector is unique if a and b are zero vectors, then a a b b . The zero vector ... number 0 . The preimage of the zero vector under a linear transformation f is called kernel algebra kernel or null space . A zero space is a linear space whose only element is a zero vector. The zero vector is, by itself, linear independence linearly dependent , and so any set of vectors which includes it is also linearly dependent. In a Norm mathematics normed vector space there is only one vector of norm equal to 0. This is just the zero vector. In vector algebra its coordinates are 0,0 and its unit vector is n Seminormed vector spaces In a Norm mathematics seminormed vector space there might be more than one vector of norm equal to 0. These vectors are often called null vectors. Examples ..., the coordinate representation of a null vector in Minkowski space contains non zero values ... 7 library ISBN 0 85312 563 5 Vector Analysis 2nd Edition , M.R. Spiegel, S. Lipcshutz, D. Spellman ... 521 86153 3 Category Linear algebra Category Zero Category Vectors be x old ca Vector nul da Nulvektor de Nullvektor et Nullvektor es Vector nulo fr Vecteur nul ko is N llvigur lmo Vetuur n ll ms Vektor nol nl Nulvector nds Nullvekter pl Wektor zerowy pt Vector nulo ru ... more details
The innovations vector or residual vector is the difference between the measurement vector and the predicted measurement vector. Each difference represents the deviation of the observed random variable from the predicted response. The innovation vector is often used to check the validity of a mathematical model model . See also Errors and residuals in statistics Innovation signal processing Category Time series analysis Category Error Category Statistical terminology statistics stub ... more details
orphan date April 2010 Unreliable sources date May 2010 Vector packs are a set or collection of vector shapes usually with the same theme like floral, wings, skulls, nature or heraldry . They are used by designers to ease the design flow and creativity also increase the speed of creating a design. Vector packs sets are used both by beginners and professional designers in their works. Vector packs are not software or Plug in computing plugins , you don t need to install them, they just need to be open with a software like Adobe Illustrator . It s not recommended to open them with Adobe Photoshop because that s a raster program and you will not be able to scale the elements and it will turn them in bitmap . References Vector graphics on Wikipedia http www.designioustimes.com illustrator why use vector packs to design.html Why use vector packs to design? from the Designenoustimes blog http www.freevector.com Free vector packs Categories DEFAULTSORT Vector Packs Category Vector graphics Category Graphic design ... more details
Infobox automobile name Vector SRV8 manufacturer Vector Motors parent company aka production 1999, 1 prototype built class Supercar body style 2 Door Coupe layout Rear mid engine, rear wheel drive layout RMR engine Modified GM LT engine GM LT 1 transmission Chevrolet Corvette transaxle related Vector M12 sp us The Vector SRV8 was an American supercar designed and built by Vector Motors in 1999 to replace the Vector M12 . Vector Motors , seeing the slow sales of the expensive Vector M12 M12 , decided to design a new car that would be easier and cheaper to build and sell. The outcome was the SRV8, essentially a modified Vector M12 M12 . The chassis came from one of the racing M12 s which ran at Road Atlanta in 1998 and featured small changes such as moved suspension pickup points. The biggest difference though was the engine. Vector decided to ditch the Lamborghini V12 that the Vector M12 M12 used, returning to the company s American roots with a GM LT engine GM LT1 V8 engine , basically the same as used in the Chevrolet Corvette and a Porsche G50 transaxle . A few days after the car s first public appearance the company shut its doors. Only one example was built. Category Vector Motors Vector SRV8 Category Sports cars Category Rear wheel drive vehicles Category One off automobiles ... more details
about the general concept in the mathematical theory of vector fields the vector potential in electromagnetism Magnetic vector potential the vector potential in fluid mechanics Stream function In vector calculus , a vector potential is a vector field whose Curl mathematics curl is a given vector field. This is analogous to a scalar potential , which is a scalar field whose negative gradient is a given vector field. Formally, given a vector field v , a vector potential is a vector field A such that math mathbf v nabla times mathbf A . math If a vector field v admits a vector potential A , then from the equality math nabla cdot nabla times mathbf A 0 math divergence of the Curl mathematics curl is zero one obtains math nabla cdot mathbf v nabla cdot nabla times mathbf A 0, math which implies that v must be a solenoidal vector field . An interesting question is then if any solenoidal vector field admits a vector potential. The answer is yes, if the vector field satisfies certain conditions. fact date November 2011 Theorem Let math mathbf v mathbb R 3 to mathbb R 3 math be a solenoidal vector field which is twice smooth function continuously differentiable . Assume that v x decreases sufficiently fast as x . Define math mathbf A mathbf x frac 1 4 pi nabla times int mathbb R 3 frac mathbf v mathbf y left mathbf x mathbf y right , d mathbf y . math Then, A is a vector potential for v , that is, math nabla times mathbf A mathbf v . math A generalization of this theorem is the Helmholtz decomposition which states that any vector field can be decomposed as a sum of a solenoidal vector field and an irrotational vector field . Nonuniqueness The vector potential admitted by a solenoidal field is not unique. If A is a vector potential for v , then so is math mathbf A nabla m math where ... of vector analysis Magnetic potential Solenoid References Fundamentals of Engineering Electromagnetics ... Category Vector calculus ca Potencial vectorial de Vektorpotential es Potencial vector magn tico ... more details
In mathematics, vector algebra may mean Linear algebra , specifically the basic algebraic operations of vector addition and scalar multiplication see vector space . The algebraic operations in vector calculus , namely the specific additional structure of vectors in 3 dimensional Euclidean space math mathbf R 3 math of dot product and especially cross product . In this sense, vector algebra is contrasted with geometric algebra , which provides an alternative generalization to higher dimensions. Original vector algebras of the nineteenth century like quaternion s, tessarine s, or coquaternion s, each of which has its own product mathematics product . The vector algebras biquaternion s and hyperbolic quaternion s enabled the revolution in physics called special relativity by providing mathematical models. disambig ... more details
State vector may refer to A Quantum state vector A state vector geographical specifies the position and velocity of an object in any location on Earth s surface Orbital state vectors are vectors of position and velocity that together with their time, uniquely determine the state of an orbiting body in astrodynamics or celestial dynamics disambiguation ... more details
Unreferenced date November 2009 A two vector is a tensor of type 2,0 and it is the dual space dual of a two form , meaning that it is a linear functional which maps two forms to the real numbers or more generally, to scalars . The tensor product of a pair of Vector geometric vector s is a two vector. Then, any two form can be expressed as a linear combination of tensor products of pairs of vectors, especially a linear combination of tensor products of pairs of basis vectors. If f is a two vector, then math mathbf f f alpha beta , vec e alpha otimes vec e beta math where the f sup sup are the components of the two vector. Notice that both indices of the components are covariance and contravariance contravariant . This is always the case for two vectors, by definition. An example of a two vector is the inverse g sup sup of the metric tensor . The components of a two vector may be represented in a matrix like array. However, a two vector, as a tensor, should not be confused with a Matrix mathematics matrix , since a matrix is a linear function math M V rightarrow V math which Map mathematics maps vectors to vectors, whereas a two vector is a linear functional math mathbf f tilde V rightarrow V math which maps one form s to vectors. In this sense, a matrix, considered as a tensor, is a mixed tensor of type 1,1 even though of the same rank as a two vector. DEFAULTSORT Two Vector Category Tensors ... more details
Change Vector is a single change to a single data block. A change vector is the smallest unit of change recorded in the Redo log . Source for further reading http download.oracle.com docs cd A87860 01 doc server.817 a76990 glossary.htm Change Vector Category Oracle software Category Transaction processing Compu stub ... more details
In astrodynamics , the eccentricity vector of a Kepler orbit is the vector geometric vector pointing towards the periapsis having a magnitude equal to the orbit s scalar orbital eccentricity eccentricity . The magnitude is unitless . For Kepler orbits the eccentricity vector is a constant of motion. Its main use is for almost circular orbits as perturbing non Keplarian forces on an actual orbit will cause the Osculating orbit osculating eccentricity vector to change continuously as opposed to the parameters eccentricity and argument of perigee for which eccentricity zero circular orbit corresponds to a singularity. See the article Kepler orbit Calculation The eccentricity vector math mathbf e , math can be calculated ref The Kepler Problem , By Bruno Cordani, page 22, Birkhaeuser 2003 , ISBN 3 7643 6902 7 ref math mathbf e mathbf v times mathbf h over mu mathbf r over left mathbf r right math where math mathbf v , math is orbital velocity vector , math mathbf h , math is orbital angular momentum vector , math mathbf r , math is orbital position vector , math mu , math is standard gravitational parameter . or equivalently from the orbital state vectors by math mathbf e mathbf left v right 2 mathbf r over mu mathbf r cdot mathbf v mathbf v over mu mathbf r over left mathbf r right math where math mathbf v , math is orbital state vectors Velocity vector velocity vector of the orbital state vectors , math mathbf r , math is orbital state vectors Position vector position vector of the orbital state vectors, math mu , math is standard gravitational parameter . See also Kepler orbit Orbit Eccentricity orbit Eccentricity Laplace Runge Lenz vector References Reflist 2 DEFAULTSORT Eccentricity Vector Category Astrodynamics Category Celestial mechanics Category Vectors es Vector Excentricidad it Vettore eccentricit he ru zh ... more details
pp semi indef The mass vector is a vector quantity that describes the magnitude and direction in which the mass acts for any point mass in the known universe in its movement about the universe s central axis of rotation. The discovery of the mass vector is commonly attributed to Isaac Newton Sir Isaac Newton and is documented in a recently recovered chapter of his treatise De motu corporum in gyrum . ref De motu corporum in gyrum ref The mass vector is defined as the resultant vector of the division of the force vector by the acceleration vector or the derivative with respect to position of the dot product of momentum and time, which is referred to as the Hang and abbreviated . Very little is yet understood about the properties of mass vectors because they are hypothesized to exist only within the singularity of black holes where the extreme gravitational force compresses acceleration to a scalar quantity. There is some controversy regarding the definition of the mass vector, as seen in James Clerk Maxwell s treatise James Clerk Maxwell Later years Matter and Motion . Maxwell defines the mass vector as follows ... a mass vector is ... the operation of carrying a given mass from the origin to the given point. The direction of the mass vector is the same as that of the vector of the mass, but its magnitude is the product of the mass into the vector of the mass. Thus, if OA is the vector of the mass A, the mass vector is OA A. However, this definition does not take modern quantum theory into account, and is commonly considered to be obsolete. ref http www.physicsforums.com archive index.php t 3364.html ref Mass Vector Criticisms Although many physicists agree on the details of mass vectors, there are still some debates. ref http en.wikipedia.org wiki Two New Sciences ref Many critics believe that mass vectors are in direct contrast to Galileo s classic idea of Falling Bodies. They believe that mass vectors travel through a special media, similar to that of light traveling ... more details
A vector operator is a differential operator used in vector calculus . Vector operators are defined in terms of del , and include the gradient , divergence , and Curl mathematics curl math operatorname grad equiv nabla math math operatorname div equiv nabla cdot math math operatorname curl equiv nabla times math The Laplacian is math nabla 2 equiv operatorname div operatorname grad equiv nabla cdot nabla math Vector operators must always come right before the scalar field or vector field on which they operate, in order to produce a result. E.g. math nabla f math yields the gradient of f , but math f nabla math is just another vector operator, which is not operating on anything. A vector operator can operate on another vector operator, to produce a compound vector operator, as seen above in the case of the Laplacian. See also del D Alembertian operator Further reading H. M. Schey 1996 Div, Grad, Curl, and All That An Informal Text on Vector Calculus , ISBN 0 393 96997 5. Category Vector calculus ca Operador vectorial es Operador vectorial ... more details
Refimprove date December 2009 In particle physics , a vector boson is a boson with the spin physics spin quantum number equal to 1. The vector bosons considered to be elementary particle s in the Standard Model are the gauge boson s or, the force carrier s of fundamental interaction s the photon of electromagnetism , the W and Z bosons of the weak interaction , and the gluon of the strong interaction . There also exist composite particle s that are vector bosons, such as the vector meson s, made of a quark and antiquark . For some time, through the 1970s and 80s, intermediate vector bosons , vector bosons of intermediate mass, were a major topic in high energy physics . Citation needed date January 2009 Explanation The name vector boson arises from quantum field theory . The vector component component of such a particle s spin along any axis has the three eigenvalue s , 0, and where is the reduced Planck constant , meaning that any measurement of it can only yield one of these values. This is, at least, true for massive vector bosons the situation is a bit different for massless particles such as the photon, for reasons beyond the scope of this article. ref Weingard, Robert. http bjps.oxfordjournals.org content 40 2 287.full.pdf Some Comments Regarding Spin and Relativity ref The space of spin states therefore has three Degrees of freedom physics and chemistry degrees of freedom Citation needed date September 2011 , the same as the number of components of a vector physics vector in three dimensional space. Quantum superposition s of these states can be taken such that they transform under rotation s just like the spatial components of a rotating vector Citation needed date September 2011 . If the vector boson is taken to be the quantum of a field, the field is a vector field , hence the name. Notes Reflist See also Pseudovector meson Scalar boson DEFAULTSORT Vector Boson Category Bosons Category Mesons Category Quantum field theory Particle stub es Bos n vectorial ... more details
Refimprove date December 2009 Infobox automobile boxcolor darkgreen name Vector W2 image File VectorW2silver.jpg 250px manufacturer Vector Motors production 1980 successor Vector W8 class Sports car prototype body style 2 door coupe layout Rear engine, rear wheel drive engine 350cid Chevrolet Small Block engine Chevrolet V8 twin turbo The Vector W2 is a concept car created by Vector Motors in 1980. It has a twin turbocharged 350 cubic inch displacement cid 5.7 L Chevrolet V8 engine that produces over 600 hp 450 kW and over 600 ft lbf 800 N m of torque. The top speed was a claimed 200 mph 320 km h . The name supposedly comes from the W for Jerry Wiegert designer and founder of Vector and 2 for the number of turbos. Even though this car was a prototype , the car was repainted and facelifted over time giving the impression that many were made. Between 1982 and 1987, Wiegert attempted to raise the money to start production of his car. In its lifetime, the car has covered over Convert 100000 mi km in testing, more than any other concept car . In 1989, a modified version of the W2 went in production as the Vector W8 . Currently, the Vector W2 prototype is owned by Wiegert. The car is currently dismantled, and stored alongside other Vector equipment in the current Vector headquarters in Wilmington, California. Notes A Vector W2 was used in the Remington Steele episode License to Steele portrayed as the product of a fictional car company, it was called the Hunter Jet Star 6000. ref imdb episode 0684855 License to Steele ref References Reflist Category Concept automobiles Category Vector Motors Category Vehicles introduced in 1980 Modern auto stub fa Vector W it Vector W2 pl Vector W2 ... more details
In mathematics , a direction vector that describes a line geometry line segment D is any vector geometric vector math overrightarrow AB math where math A math and math B math are two distinct points on the line D . If v is a direction vector for D , so is k v for any nonzero scalar mathematics scalar k and these are in fact all of the direction vectors for the line D . Under some definitions, the direction vector is required to be a unit vector, in which case each line has exactly two direction vectors, which are negatives of each other equal in magnitude, opposite in direction . Direction vector for a line in R sup 2 sup Any line in two dimensional Euclidean space can be described as the set of solutions to an equation of the form math ax by c 0 math where a , b , c are real number s. Then one direction vector of math D math is math b,a math . Any multiple of math b,a math is also a direction vector. For example, suppose the equation of a line is math 3x 2y 15 0 math . Then math 2,3 math , math 4,6 math , and math 2, 3 math are all direction vectors for this line. Parametric equation for a line In Euclidean space any number of dimensions , given a point a and a nonzero vector v , a line is defined parametric equation parametrically by a t v , where the parameter t varies between and . This line has v as a direction vector. See also Unit vector External links Weisstein, Eric W. Direction. From MathWorld A Wolfram Web Resource. http mathworld.wolfram.com Direction.html http www.nipissingu.ca algebra glossary.html Glossary , Nipissing University http www.netcomuk.co.uk jenolive vect3.html Finding the vector equation of a line http www.ping.be ping1339 recht.htm Lines in a plane Orthogonality, Distances , MATH tutorial http www.cs.mtu.edu shene COURSES cs3621 NOTES geometry basic.html Coordinate Systems, Points, Lines and Planes Category Linear algebra Category Vectors ar ca Vector director es Vector director fr Vecteur directeur km ta ... more details
An interrupt vector is the memory address of an interrupt handler , or an array index index into an Array data structure array called an interrupt vector table that contains the memory addresses of interrupt handlers. When an interrupt is generated, the Operating System saves its state computer science execution state via a context switch , and begins execution of the interrupt handler at the interrupt vector. See also Advanced Programmable Interrupt Controller APIC Programmable Interrupt Controller PIC Inter processor interrupt IPI Interrupt latency Non maskable interrupt NMI External links http www.webopedia.com TERM I interrupt vector table.html Webopedia definition of interrupt vector table Category Interrupts compu stub cs Vektor p eru en de Interruptvektor es Vector de interrupciones fr Vecteur d interruption ko it Interrupt vector pt Vetor de interrup es zh ... more details
Encyclopedia
top
