In mathematics and physics, vector is a term that refers to quantities that cannot be expressed by a single number (a scalar), or to elements of some...
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In mathematics, physics, and engineering, a Euclidean vector or simply a vector (sometimes called a geometric vector or spatial vector) is a geometric...
61 KB (9,116 words) - 12:01, 7 May 2025
Pseudovector (redirect from Polar and axial vectors)
In physics and mathematics, a pseudovector (or axial vector) is a quantity that transforms like a vector under continuous rigid transformations such as...
33 KB (4,332 words) - 14:46, 1 August 2025
Vector notation In mathematics and physics, vector notation is a commonly used notation for representing vectors, which may be Euclidean vectors, or more...
24 KB (3,291 words) - 02:14, 28 July 2025
Matrix (mathematics) Row and column vectors Tensor Vector (mathematics and physics) Vector calculus Lay, David C. (2006). Linear Algebra and Its Applications...
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both covariance and contravariance. In physics, a vector typically arises as the outcome of a measurement or series of measurements, and is represented...
42 KB (7,132 words) - 03:26, 17 July 2025
In physics and engineering, particularly in mechanics, a physical vector may be endowed with additional structure compared to a geometrical vector. A...
6 KB (669 words) - 17:07, 20 November 2024
Right-hand rule (category Vectors (mathematics and physics))
In mathematics and physics, the right-hand rule is a convention and a mnemonic, utilized to define the orientation of axes in three-dimensional space and...
18 KB (2,359 words) - 23:55, 17 June 2025
In mathematics and physics, a vector space (also called a linear space) is a set whose elements, often called vectors, can be added together and multiplied...
87 KB (11,491 words) - 23:41, 28 July 2025
In physics, the Poynting vector (or Umov–Poynting vector) represents the directional energy flux (the energy transfer per unit area, per unit time) or...
34 KB (4,642 words) - 18:24, 30 July 2025
aka Vector Lovers Vector (mathematics and physics) Row and column vectors, single row or column matrices Vector field, a vector for each point Vector quantity...
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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...
17 KB (1,924 words) - 20:12, 14 July 2025
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...
9 KB (1,485 words) - 09:34, 2 November 2024
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 astronomical...
79 KB (10,218 words) - 19:44, 20 May 2025
Vector calculus or vector analysis is a branch of mathematics concerned with the differentiation and integration of vector fields, primarily in three-dimensional...
22 KB (2,138 words) - 01:58, 28 July 2025
In special relativity, a four-vector (or 4-vector, sometimes Lorentz vector) is an object with four components, which transform in a specific way under...
47 KB (8,365 words) - 14:48, 25 February 2025
Mathematical physics is the development of mathematical methods for application to problems in physics. The Journal of Mathematical Physics defines the...
50 KB (5,511 words) - 06:52, 18 July 2025
row and 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: [...
9 KB (1,260 words) - 11:25, 6 June 2025
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...
8 KB (1,310 words) - 04:38, 4 February 2024
Equipollence (geometry) (category Vectors (mathematics and physics))
Principles of Mathematics, page 432 The concept of equipollent line segments was advanced by Giusto Bellavitis in 1835. Subsequently, the term vector was adopted...
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A vector-valued function, also referred to as a vector function, is a mathematical function of one or more variables whose range is a set of multidimensional...
18 KB (3,008 words) - 01:23, 28 July 2025
In mathematics, the complex conjugate of a complex vector space V {\displaystyle V\,} is a complex vector space V ¯ {\displaystyle {\overline {V}}} that...
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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...
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constants and variables, and their notations. Note that bold text indicates that the quantity is a vector. List of letters used in mathematics and science...
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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...
5 KB (1,063 words) - 19:37, 28 July 2025
number and zero. In vector spaces, the Euclidean norm is a measure of magnitude used to define a distance between two points in space. In physics, magnitude...
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In astrodynamics and celestial dynamics, the orbital state vectors (sometimes state vectors) of an orbit are Cartesian vectors of position ( r {\displaystyle...
6 KB (833 words) - 11:13, 26 March 2025
science, the Burgers vector, named after Dutch physicist Jan Burgers, is a vector, often denoted as b, that represents the magnitude and direction of the...
6 KB (748 words) - 19:05, 14 April 2025
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...
5 KB (476 words) - 18:09, 1 January 2025
Stokes' theorem (category Vectors (mathematics and physics))
theorem after Lord Kelvin and George Stokes, the fundamental theorem for curls, or simply the curl theorem, is a theorem in vector calculus on R 3 {\displaystyle...
30 KB (4,862 words) - 22:38, 19 July 2025