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VECTOR R

  • Euclidean vector
  • Geometric object that has length and direction

    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

    Euclidean vector

    Euclidean vector

    Euclidean_vector

  • Vector-R
  • Two stage Launch vehicle, 60 kg payload to LEO

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

    Vector-R

    Vector-R

    Vector-R

  • Unit vector
  • Vector of length one

    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

    Unit vector

    Unit_vector

  • Position (geometry)
  • Vector representing the position of a point with respect to a fixed origin

    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.

    Position (geometry)

    Position (geometry)

    Position_(geometry)

  • Laplace–Runge–Lenz vector
  • Vector used in astronomy

    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

    Laplace–Runge–Lenz vector

    Laplace–Runge–Lenz_vector

  • Vector space
  • Algebraic structure in linear algebra

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

    Vector space

    Vector space

    Vector_space

  • Vector field
  • Assignment of a vector to each point in a subset of Euclidean space

    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 field

    Vector field

    Vector_field

  • Poynting vector
  • Measure of directional electromagnetic energy flux

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

    Poynting vector

    Poynting vector

    Poynting_vector

  • Torque
  • Turning force around an axis

    \mathbf {r} } is the position vector (a vector from the point about which the torque is being measured to the point where the force is applied), and r is the

    Torque

    Torque

    Torque

  • Angular momentum
  • Conserved physical quantity; rotational analogue of linear momentum

    represented as a pseudovector r × p, the cross product of the particle's position vector r (relative to some origin) and its momentum vector; the latter is p = mv

    Angular momentum

    Angular momentum

    Angular_momentum

  • Vector fields in cylindrical and spherical coordinates
  • Vector field representation in 3D curvilinear coordinate systems

    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

    Vector fields in cylindrical and spherical coordinates

    Vector fields in cylindrical and spherical coordinates

    Vector_fields_in_cylindrical_and_spherical_coordinates

  • Angular velocity
  • Direction and rate of rotation

    of the angle between the vector and the x-axis. Then: d r d t = ( r ˙ cos ⁡ ( φ ) − r φ ˙ sin ⁡ ( φ ) , r ˙ sin ⁡ ( φ ) + r φ ˙ cos ⁡ ( φ ) ) , {\displaystyle

    Angular velocity

    Angular velocity

    Angular_velocity

  • Vector Launch
  • Defunct launch vehicle designer and launch service provider

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

    Vector Launch

    Vector_Launch

  • Reciprocal lattice
  • Fourier transform of a real-space lattice, important in solid-state physics

    {k} \cdot \mathbf {r} +\varphi )} at a fixed time t {\displaystyle t} , where r {\displaystyle \mathbf {r} } is the position vector of a point in real

    Reciprocal lattice

    Reciprocal lattice

    Reciprocal_lattice

  • Vector calculus
  • Calculus of vector-valued functions

    primarily in three-dimensional Euclidean space, R 3 . {\displaystyle \mathbb {R} ^{3}.} The term vector calculus is sometimes used as a synonym for the

    Vector calculus

    Vector_calculus

  • Frenet–Serret formulas
  • Formulas in differential geometry

    {R} ^{3},} and are 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

    Frenet–Serret formulas

    Frenet–Serret formulas

    Frenet–Serret_formulas

  • Kinematics
  • Branch of physics describing the motion of objects without considering forces

    north is in the direction of the y-axis, then the coordinate vector to the base of the tower is r = (0 m, −50 m, 0 m). If the tower is 50 m high, and this

    Kinematics

    Kinematics

  • Vector-valued function
  • Function valued in a vector space; typically a real or complex one

    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

    Vector-valued function

    Vector-valued_function

  • Line integral
  • Definite integral of a scalar or vector field along a path

    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

    Line integral

    Line_integral

  • Spline (mathematics)
  • Mathematical function defined piecewise by polynomials

    &\\P_{i-1}^{(r_{i})}(t_{i})&=P_{i}^{(r_{i})}(t_{i}).\end{aligned}}} A vector r = (r1, …, rk–1) such that the spline has smoothness C r i {\displaystyle C^{r_{i}}}

    Spline (mathematics)

    Spline (mathematics)

    Spline_(mathematics)

  • Angular velocity tensor
  • position vector. When multiplied by a time difference, it results in the angular displacement tensor. A vector r {\displaystyle \mathbf {r} } undergoing

    Angular velocity tensor

    Angular_velocity_tensor

  • Quaternion
  • Four-dimensional number system

    represent vectors in 3D space, then it turns out that the reflection of a vector r in a plane perpendicular to a unit vector w can be written: r ′ = − w r w

    Quaternion

    Quaternion

    Quaternion

  • Topological vector space
  • Vector space with a notion of nearness

    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

    Topological vector space

    Topological_vector_space

  • Kepler orbit
  • Celestial orbit whose trajectory is a conic section in the orbital plane

    the vector function r {\displaystyle \mathbf {r} } and its derivatives as: r = r ( cos ⁡ θ x ^ + sin ⁡ θ y ^ ) = r r ^ r ˙ = r ˙ r ^ + r θ ˙ q ^ r ¨ =

    Kepler orbit

    Kepler orbit

    Kepler_orbit

  • End-to-end vector
  • Vector that points from one end of a polymer to the other

    translation vectors r → i {\displaystyle {\vec {r}}_{i}} connect between these points. The end-to-end vector R → {\displaystyle {\vec {R}}} is the sum

    End-to-end vector

    End-to-end vector

    End-to-end_vector

  • Magnetic vector potential
  • Quantity in electromagnetism

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

    Magnetic vector potential

    Magnetic vector potential

    Magnetic_vector_potential

  • Vector-H
  • company Vector Launch to cover the commercial small satellite launch segment (CubeSats). It was planned to be an expanded version of the Vector-R rocket

    Vector-H

    Vector-H

    Vector-H

  • Vector (mathematics and physics)
  • Broad concept generalizing scalars in mathematics and physics

    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

    Vector (mathematics and physics)

    Vector_(mathematics_and_physics)

  • Conservative vector field
  • Vector field that is the gradient of some function

    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

    Conservative vector field

    Conservative_vector_field

  • Vector graphics
  • Computer graphics images defined by points, lines and curves

    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

    Vector graphics

    Vector graphics

    Vector_graphics

  • Classical central-force problem
  • Class of problems in classical mechanics

    r ) r ^ {\displaystyle \mathbf {F} =F(r){\hat {\mathbf {r} }}} where r is the vector magnitude |r| (the distance to the center of force) and = r/r

    Classical central-force problem

    Classical_central-force_problem

  • Orbital state vectors
  • Cartesian vectors of position and velocity of an orbiting body in space

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

    Orbital state vectors

    Orbital state vectors

    Orbital_state_vectors

  • Vector bundle
  • Mathematical parametrization of vector spaces by another space

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

    Vector bundle

    Vector bundle

    Vector_bundle

  • Lambert's problem
  • Problem in celestial mechanics

    position vectors r 1 = r 1 r ^ 1 , r 2 = r 2 r ^ 2 {\displaystyle \mathbf {r} _{1}=r_{1}{\hat {\mathbf {r} }}_{1},\,\mathbf {r} _{2}=r_{2}{\hat {\mathbf {r} }}_{2}}

    Lambert's problem

    Lambert's_problem

  • Vector notation
  • Use of coordinates for representing vectors

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

    Vector notation

    Vector notation

    Vector_notation

  • Universal geometric algebra
  • can be written as the sum of several r-vectors. Some r-vectors are scalars (r = 0), vectors (r = 1) and bivectors (r = 2). One may generate a finite-dimensional

    Universal geometric algebra

    Universal_geometric_algebra

  • Gradient
  • Multivariate derivative (mathematics)

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

    Gradient

    Gradient

    Gradient

  • Central force
  • Mechanical force towards or away from a point

    of force. F ( r ) = F ( r ) r ^ {\displaystyle \mathbf {F} (\mathbf {r} )=F(\mathbf {r} ){\hat {\mathbf {r} }}} where F is a force vector, F is a scalar

    Central force

    Central force

    Central_force

  • Spherical harmonics
  • Special mathematical functions defined on the surface of a sphere

    {1}{r_{1}}}+P_{1}(\cos \gamma ){\frac {r}{r_{1}^{2}}}+P_{2}(\cos \gamma ){\frac {r^{2}}{r_{1}^{3}}}+\cdots } where γ is the angle between the vectors x

    Spherical harmonics

    Spherical harmonics

    Spherical_harmonics

  • Cross product
  • Mathematical operation on vectors in 3D space

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

    Cross product

    Cross product

    Cross_product

  • Support vector machine
  • Set of methods for supervised statistical learning

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

    Support vector machine

    Support_vector_machine

  • Centripetal force
  • Force directed to the center of rotation

    base of Δ r {\displaystyle \Delta {\textbf {r}}} (position vector difference) and a leg length of r {\displaystyle r} | Δ v | v = | Δ r | r {\displaystyle

    Centripetal force

    Centripetal force

    Centripetal_force

  • Principal component analysis
  • Method of data analysis

    matrix. r = a random vector of length p r = r / norm(r) do c times: s = 0 (a vector of length p) for each row x in X s = s + (x ⋅ r) x λ = rTs // λ is

    Principal component analysis

    Principal component analysis

    Principal_component_analysis

  • Dimension (vector space)
  • Number of vectors in any basis of the vector space

    written as dim ⁡ ( V ) {\displaystyle \dim(V)} instead. The vector space R 3 {\displaystyle \mathbb {R} ^{3}} has { ( 1 0 0 ) , ( 0 1 0 ) , ( 0 0 1 ) } {\displaystyle

    Dimension (vector space)

    Dimension (vector space)

    Dimension_(vector_space)

  • Vector calculus identities
  • Mathematical identities

    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

    Vector calculus identities

    Vector_calculus_identities

  • True anomaly
  • Parameter of Keplerian orbits

    {\left|r\right|} }}} (if r ⋅ v < 0 then replace ν by 2π − ν) where: v is the orbital velocity vector of the orbiting body, e is the eccentricity vector, r is

    True anomaly

    True anomaly

    True_anomaly

  • Vector quantity
  • Physical quantity that is a vector

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

    Vector quantity

    Vector_quantity

  • Position and momentum spaces
  • Physical spaces representing position and momentum, Fourier-transform duals

    all position vectors r in Euclidean space, and has dimensions of length; a position vector defines a point in space. (If the position vector of a point

    Position and momentum spaces

    Position_and_momentum_spaces

  • Normed vector space
  • Vector space on which a distance is defined

    {\displaystyle V} is a vector space over K {\displaystyle K} , where K {\displaystyle K} is a field equal to R {\displaystyle \mathbb {R} } or to C {\displaystyle

    Normed vector space

    Normed vector space

    Normed_vector_space

  • Lorentz transformation
  • Family of linear transformations

    vector r as measured in F, and r′ as measured in F′, each into components perpendicular (⊥) and parallel ( || ) to v, r = r ⊥ + r ‖ , r ′ = r ⊥ ′ + r

    Lorentz transformation

    Lorentz transformation

    Lorentz_transformation

  • Hesse normal form
  • Equation in analytic geometry

    and point-line distance). It is written in vector notation as r → ⋅ n → 0 − d = 0. {\displaystyle {\vec {r}}\cdot {\vec {n}}_{0}-d=0.\,} The dot ⋅ {\displaystyle

    Hesse normal form

    Hesse normal form

    Hesse_normal_form

  • Curl (mathematics)
  • Circulation density in a vector field

    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

    Curl (mathematics)

    Curl (mathematics)

    Curl_(mathematics)

  • Fourier series
  • Decomposition of periodic functions

    ( r ) = f ( R + r ) {\displaystyle f(\mathbf {r} )=f(\mathbf {R} +\mathbf {r} )} for any lattice vector R {\displaystyle \mathbf {R} } . This situation

    Fourier series

    Fourier series

    Fourier_series

  • Multivariate random variable
  • Random variable with multiple component dimensions

    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

    Multivariate random variable

    Multivariate random variable

    Multivariate_random_variable

  • Index of dissimilarity
  • Demographic measure

    rich vector r {\displaystyle \mathbf {r} } and the poor vector p {\displaystyle \mathbf {p} } : r ^ = r | r | 1 = r R {\displaystyle {\hat {\mathbf {r} }}={\frac

    Index of dissimilarity

    Index_of_dissimilarity

  • Kepler's laws of planetary motion
  • Laws describing planetary orbits

    position vector twice to obtain the velocity vector and the acceleration vector: r ˙ = r ˙ r ^ + r r ^ ˙ = r ˙ r ^ + r θ ˙ θ ^ , r ¨ = ( r ¨ r ^ + r ˙ r ^ ˙

    Kepler's laws of planetary motion

    Kepler's laws of planetary motion

    Kepler's_laws_of_planetary_motion

  • Function of a real variable
  • Mathematical function

    an R {\displaystyle \mathbb {R} } -algebra, such as the complex numbers or the quaternions. The structure R {\displaystyle \mathbb {R} } -vector space

    Function of a real variable

    Function_of_a_real_variable

  • Dot product
  • Algebraic operation on coordinate vectors

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

    Dot product

    Dot_product

  • Phong reflection model
  • Shading algorithm in computer graphics

    {\text{d}}}+k_{\text{s}}({\hat {R}}_{m}\cdot {\hat {V}})^{\alpha }i_{m,{\text{s}}}).} where the direction vector R ^ m {\displaystyle {\hat {R}}_{m}} is calculated

    Phong reflection model

    Phong_reflection_model

  • Vector multiplication
  • Index of articles associated with the same name

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

    Vector multiplication

    Vector_multiplication

  • Force field (physics)
  • Region of space in which a force acts

    M r 2 r ^ {\displaystyle \mathbf {g} ={\frac {-GM}{r^{2}}}{\hat {\mathbf {r} }}} , where the radial unit vector r ^ {\displaystyle {\hat {\mathbf {r} }}}

    Force field (physics)

    Force field (physics)

    Force_field_(physics)

  • Gated recurrent unit
  • Memory unit used in neural networks

    , the output vector is h 0 = 0 {\displaystyle h_{0}=0} . z t = σ ( W z x t + U z h t − 1 + b z ) r t = σ ( W r x t + U r h t − 1 + b r ) h ^ t = ϕ (

    Gated recurrent unit

    Gated_recurrent_unit

  • Perifocal coordinate system
  • Frame of reference for an orbit

    and velocity vectors can be determined for any location of the orbit. The position vector, r, can be expressed as: r = r cos ⁡ θ p ^ + r sin ⁡ θ q ^ {\displaystyle

    Perifocal coordinate system

    Perifocal coordinate system

    Perifocal_coordinate_system

  • Radial velocity
  • Velocity of an object as the rate of distance change between the object and a point

    position vector r ^ = r / r {\displaystyle {\hat {r}}=\mathbf {r} /{r}} (or LOS direction), the range rate is simply expressed as r ˙ = ⟨ r , v ⟩ r = ⟨ r ^

    Radial velocity

    Radial velocity

    Radial_velocity

  • Mode 7
  • Graphics mode on the Super NES video game console

    define the vector r 0 {\displaystyle \mathbf {r} _{0}} , the origin). Specifically, 2D screen coordinate vector r {\displaystyle \mathbf {r} } is translated

    Mode 7

    Mode 7

    Mode_7

  • Null vector
  • Vector on which a quadratic form is zero

    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

    Null vector

    Null vector

    Null_vector

  • Killing vector field
  • Vector field on a pseudo-Riemannian manifold that preserves the metric tensor

    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

    Killing vector field

    Killing_vector_field

  • Physical quantity
  • Measurable property of a material or system

    vector norm). For example, let Z {\displaystyle Z} be "2 metres"; then, { Z } = 2 {\displaystyle \{Z\}=2} is the numerical value and [ Z ] = m e t r e

    Physical quantity

    Physical quantity

    Physical_quantity

  • Newtonian dynamics
  • Formulation of physics

    Euclidean space. Let r 1 , … , r N {\displaystyle \displaystyle \mathbf {r} _{1},\,\ldots ,\,\mathbf {r} _{N}} be their radius-vectors in some inertial coordinate

    Newtonian dynamics

    Newtonian_dynamics

  • Stokes' theorem
  • Theorem in vector calculus

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

    Stokes' theorem

    Stokes' theorem

    Stokes'_theorem

  • Four-vector
  • Vector in relativity

    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

    Four-vector

    Four-vector

    Four-vector

  • N-body simulation
  • Simulation of a dynamical system of particles

    Vector3 r_unit_vector = { r_vector.e[0] / r_mag, r_vector.e[1] / r_mag, r_vector.e[2] / r_mag }; a_g.e[0] += acceleration * r_unit_vector.e[0]; a_g.e[1]

    N-body simulation

    N-body simulation

    N-body_simulation

  • Net force
  • Vector sum of all forces acting upon a particle or body

    torque vector, and   τ = F k {\displaystyle \ \tau =Fk}    is the amount of torque. The vector r {\displaystyle \mathbf {r} } is the position vector of the

    Net force

    Net force

    Net_force

  • Rotation matrix
  • Matrix representing a Euclidean rotation

    vector with the length r and the angle ϕ {\displaystyle \phi } with respect to the x-axis, so that x = r cos ⁡ ϕ {\textstyle x=r\cos \phi } and y = r

    Rotation matrix

    Rotation_matrix

  • Wave vector
  • Vector describing a wave; often its propagation direction

    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

    Wave vector

    Wave_vector

  • Polar coordinate system
  • Coordinates comprising a distance and an angle

    this vector equation becomes: F r + m r Ω 2 = m r ¨ F φ − 2 m r ˙ Ω = m r φ ¨   , {\displaystyle {\begin{aligned}F_{r}+mr\Omega ^{2}&=m{\ddot {r}}\\F_{\varphi

    Polar coordinate system

    Polar coordinate system

    Polar_coordinate_system

  • Curvilinear coordinates
  • Coordinate system whose directions vary in space

    natural basis vectors: h 1 = ∂ r ∂ q 1 ; h 2 = ∂ r ∂ q 2 ; h 3 = ∂ r ∂ q 3 . {\displaystyle \mathbf {h} _{1}={\dfrac {\partial \mathbf {r} }{\partial q^{1}}};\;\mathbf

    Curvilinear coordinates

    Curvilinear coordinates

    Curvilinear_coordinates

  • Specific angular momentum
  • Vector quantity in celestial mechanics

    the relative position vector r {\displaystyle \mathbf {r} } and the relative velocity vector v {\displaystyle \mathbf {v} } . h = r × v = L m {\displaystyle

    Specific angular momentum

    Specific_angular_momentum

  • Disease vector
  • Agent that carries and transmits pathogens

    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

    Disease vector

    Disease vector

    Disease_vector

  • Hahn–Banach theorem
  • Theorem on extension of bounded linear functionals

    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

    Hahn–Banach theorem

    Hahn–Banach_theorem

  • Pseudovector
  • Physical quantity that changes sign with improper rotation

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

    Pseudovector

    Pseudovector

    Pseudovector

  • Tangloids
  • Mathematical game

    space) and apply a rotation matrix R {\displaystyle R} to it. One obtains a rotated vector R v → {\displaystyle R{\vec {v}}} . This is the result of applying

    Tangloids

    Tangloids

    Tangloids

  • Magnetic moment
  • Concept in the physics of electromagnetism

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

    Magnetic moment

    Magnetic moment

    Magnetic_moment

  • Biot–Savart law
  • Law of classical electromagnetism

    while the fundamental vector here is H. The Biot–Savart law is used for computing the resultant magnetic flux density B at position r in 3D-space generated

    Biot–Savart law

    Biot–Savart law

    Biot–Savart_law

  • Parallel axis theorem
  • Theorem in planar dynamics

    {\displaystyle \mathbf {R} =R_{1}\mathbf {\hat {x}} +R_{2}\mathbf {\hat {y}} +R_{3}\mathbf {\hat {z}} \!} is the displacement vector from the center of mass

    Parallel axis theorem

    Parallel_axis_theorem

  • Vector W8
  • Sports car produced from 1990 to 1993, based on the Vector W2

    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 W8

    Vector W8

    Vector_W8

  • Norm (mathematics)
  • Length in a vector space

    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

    Norm (mathematics)

    Norm_(mathematics)

  • Vector spherical harmonics
  • Extension of the scalar spherical harmonics for use with vector fields

    {r} }}} being the unit vector along the radial direction in spherical coordinates and r {\displaystyle \mathbf {r} } the vector along the radial direction

    Vector spherical harmonics

    Vector_spherical_harmonics

  • Divergence
  • Vector operator in vector calculus

    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

    Divergence

    Divergence

    Divergence

  • Scattering amplitude
  • Probability amplitude in quantum scattering theory

    , z ) {\displaystyle \mathbf {r} \equiv (x,y,z)} is the position vector; r ≡ | r | {\displaystyle r\equiv |\mathbf {r} |} ; e i k z {\displaystyle e^{ikz}}

    Scattering amplitude

    Scattering_amplitude

  • Spectral radiance
  • Radiance of a surface

    as I ( x , t ; r 1 , ν ) {\displaystyle I(\mathbf {x} ,t;\mathbf {r} _{1},\nu )} where: ν denotes frequency. r1 denotes a unit vector, with the direction

    Spectral radiance

    Spectral radiance

    Spectral_radiance

  • Spherical multipole moments
  • Coefficients in a series expansion of a potential

    the vector r ′ {\displaystyle \mathbf {r} '} has coordinates ( r ′ , θ ′ , ϕ ′ ) {\displaystyle (r',\theta ',\phi ')} where r ′ {\displaystyle r'} is

    Spherical multipole moments

    Spherical_multipole_moments

  • Gram–Schmidt process
  • Orthonormalization of a set of vectors

    more vectors that are perpendicular to each other. By technical definition, it is a method of constructing an orthonormal basis from a set of vectors in

    Gram–Schmidt process

    Gram–Schmidt process

    Gram–Schmidt_process

  • Algebra over a field
  • Vector space equipped with a bilinear product

    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

    Algebra over a field

    Algebra_over_a_field

  • Del
  • Vector differential operator

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

    Del

    Del

  • Potential energy surface
  • Function describing the energy of a physical system in terms of certain parameters

    of a set of atoms can be described by a vector, r, whose elements represent the atom positions. The vector r could be the set of the Cartesian coordinates

    Potential energy surface

    Potential energy surface

    Potential_energy_surface

  • Matrix multiplication
  • Mathematical operation in linear algebra

    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

    Matrix multiplication

    Matrix multiplication

    Matrix_multiplication

  • Retarded time
  • Propagation delay of EM radiation (light)

    the EM field is radiated at position vector r′ (within the source charge distribution), and an observer at position r measures the EM field at time t, the

    Retarded time

    Retarded time

    Retarded_time

  • Tensor
  • Algebraic object with geometric applications

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

    Tensor

    Tensor

    Tensor

  • Force
  • Influence that can change motion of an object

    }}{{R_{\oplus }}^{2}}}{\hat {\mathbf {r} }},} where the vector direction is given by r ^ {\displaystyle {\hat {\mathbf {r} }}} , is the unit vector directed

    Force

    Force

    Force

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VECTOR R

  • Hector
  • Surname or Lastname

    Scottish

    Hector

    Scottish : Anglicized form of the Gaelic personal name Eachann (earlier Eachdonn, already confused with Norse Haakon), composed of the elements each ‘horse’ + donn ‘brown’.English : found in Yorkshire and Scotland, where it may derive directly from the medieval personal name. According to medieval legend, Britain derived its name from being founded by Brutus, a Trojan exile, and Hector was occasionally chosen as a personal name, as it was the name of the Trojan king’s eldest son. The classical Greek name, Hektōr, is probably an agent derivative of Greek ekhein ‘to hold back’, ‘hold in check’, hence ‘protector of the city’.German, French, and Dutch : from the personal name (see 2 above). In medieval Germany, this was a fairly popular personal name among the nobility, derived from classical literature. It is a comparatively rare surname in France.

    Hector

  • VITOR
  • Male

    Portuguese

    VITOR

    Galician-Portuguese form of Roman Latin Victor, VITOR means "conqueror."

    VITOR

  • Doctor
  • Boy/Male

    English American

    Doctor

    Doctor; teacher.

    Doctor

  • Hector
  • Boy/Male

    American, Australian, British, Chinese, Christian, Danish, Dutch, English, French, German, Greek, Italian, Latin, Portuguese, Shakespearean, Spanish

    Hector

    Steadfast; Anchor; Holds Fast; Star; Coined from Esther Vanhomrigh; Tenacious; Defend; Hold Fast; Coined from Esther Vanho

    Hector

  • VICTOR
  • Male

    English

    VICTOR

    Roman Latin name VICTOR means "conqueror." 

    VICTOR

  • Victor
  • Boy/Male

    Christian & English(British/American/Australian)

    Victor

    Conqueror

    Victor

  • VIKTOR
  • Male

    Russian

    VIKTOR

    (Cyrillic Виктор): Slavic form of Roman Latin Victor, VIKTOR means "conqueror." In use by the Bulgarians, Russians and Serbians. Compare with another form of Viktor.

    VIKTOR

  • VESTER
  • Male

    English

    VESTER

    Short form of English Sylvester, VESTER means "from the forest."

    VESTER

  • HEITOR
  • Male

    Portuguese

    HEITOR

    Portuguese form of Latin Hector, HEITOR means "defend; hold fast."

    HEITOR

  • Victor
  • Boy/Male

    American, British, Christian, Danish, Dutch, English, Finnish, French, German, Greek, Hindu, Indian, Irish, Jamaican, Latin, Romanian, Slovenia, Spanish, Swedish, Swiss, Tamil, Ukrainian

    Victor

    Victorious; Conqueror; Winner; Champion; One who Conquers; Victory

    Victor

  • VIKTOR
  • Male

    Scandinavian

    VIKTOR

     Scandinavian form of Roman Latin Victor, VIKTOR means "conqueror." Compare with another form of Viktor.

    VIKTOR

  • Hector
  • Boy/Male

    Spanish American Shakespearean Greek Latin

    Hector

    Tenacious.

    Hector

  • Hector
  • Boy/Male

    Christian & English(British/American/Australian)

    Hector

    Steadfast

    Hector

  • HECTOR
  • Male

    Arthurian

    HECTOR

    , sir Hector de Maris; (defender).

    HECTOR

  • Victoro
  • Boy/Male

    Spanish

    Victoro

    Victor.

    Victoro

  • HECTOR
  • Male

    English

    HECTOR

     Anglicized form of Scottish Gaelic Eachann, HECTOR means "brown horse." Compare with another form of Hector.

    HECTOR

  • Viktor
  • Boy/Male

    Australian, Basque, Czech, Czechoslovakian, Danish, Finnish, French, German, Hungarian, Latin, Polish, Slovenia, Swedish, Swiss, Ukrainian

    Viktor

    The Conqueror; Victory; Victorious; Conquer

    Viktor

  • VÍCTOR
  • Male

    Spanish

    VÍCTOR

    Spanish form of Roman Latin Victor, VÍCTOR means "conqueror."

    VÍCTOR

  • Victor
  • Boy/Male

    Latin American Spanish

    Victor

    Conqueror.

    Victor

  • EKTOR
  • Male

    Greek

    EKTOR

    (Ἕκτωρ) Variant spelling of Greek Hektor, EKTOR means "defend; hold fast."

    EKTOR

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VECTOR R

  • Doctor
  • v. t.

    To tamper with and arrange for one's own purposes; to falsify; to adulterate; as, to doctor election returns; to doctor whisky.

  • Rectory
  • n.

    The province of a rector; a parish church, parsonage, or spiritual living, with all its rights, tithes, and glebes.

  • Versor
  • n.

    The turning factor of a quaternion.

  • Oxbird
  • n.

    An African weaver bird (Textor alector).

  • Venter
  • n.

    A pregnant woman; a mother; as, A has a son B by one venter, and a daughter C by another venter; children by different venters.

  • Vector
  • n.

    A directed quantity, as a straight line, a force, or a velocity. Vectors are said to be equal when their directions are the same their magnitudes equal. Cf. Scalar.

  • Venter
  • n.

    A belly, or protuberant part; a broad surface; as, the venter of a muscle; the venter, or anterior surface, of the scapula.

  • Sector
  • n.

    A mathematical instrument, consisting of two rulers connected at one end by a joint, each arm marked with several scales, as of equal parts, chords, sines, tangents, etc., one scale of each kind on each arm, and all on lines radiating from the common center of motion. The sector is used for plotting, etc., to any scale.

  • Rectorial
  • a.

    Pertaining to a rector or a rectory; rectoral.

  • Victress
  • n.

    A woman who wins a victory; a female victor.

  • Ductor
  • n.

    A contrivance for removing superfluous ink or coloring matter from a roller. See Doctor, 4.

  • Doctor
  • v. t.

    To confer a doctorate upon; to make a doctor.

  • Victorious
  • a.

    Of or pertaining to victory, or a victor' being a victor; bringing or causing a victory; conquering; winning; triumphant; as, a victorious general; victorious troops; a victorious day.

  • Doctor
  • n.

    Any mechanical contrivance intended to remedy a difficulty or serve some purpose in an exigency; as, the doctor of a calico-printing machine, which is a knife to remove superfluous coloring matter; the doctor, or auxiliary engine, called also donkey engine.

  • Doctor
  • v. t.

    To treat as a physician does; to apply remedies to; to repair; as, to doctor a sick man or a broken cart.

  • Vector
  • n.

    Same as Radius vector.

  • Tensor
  • n.

    The ratio of one vector to another in length, no regard being had to the direction of the two vectors; -- so called because considered as a stretching factor in changing one vector into another. See Versor.

  • Rector
  • n.

    The chief elective officer of some universities, as in France and Scotland; sometimes, the head of a college; as, the Rector of Exeter College, or of Lincoln College, at Oxford.

  • Bivector
  • n.

    A term made up of the two parts / + /1 /-1, where / and /1 are vectors.