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VECTOR FIELD

  • 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

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

    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

  • 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

  • Magnetic field
  • Property of space that quantifies the magnetic influence at a given location

    magnetic field may vary with location, it is described mathematically by assigning a vector to each point of space, making it a vector field. There are

    Magnetic field

    Magnetic field

    Magnetic_field

  • Electric field
  • Physical field surrounding an electric charge

    electric field between atoms is the force responsible for chemical bonding that result in molecules. The electric field is defined as a vector field that

    Electric field

    Electric field

    Electric_field

  • Vector space
  • Algebraic structure in linear algebra

    This means that for two vector spaces over a given field and with the same dimension, the properties that depend only on the vector-space structure are exactly

    Vector space

    Vector space

    Vector_space

  • 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)

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

    tuples is called a coordinate vector space. Many vector spaces are considered in mathematics, such as extension fields, polynomial rings, algebras and

    Vector (mathematics and physics)

    Vector_(mathematics_and_physics)

  • Helmholtz decomposition
  • Certain vector fields are the sum of an irrotational and a solenoidal vector field

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

    Helmholtz decomposition

    Helmholtz_decomposition

  • Solenoidal vector field
  • Vector field with zero divergence

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

    Solenoidal vector field

    Solenoidal vector field

    Solenoidal_vector_field

  • Laplacian vector field
  • 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

    Laplacian vector field

    Laplacian_vector_field

  • Surface integral
  • Integration over a non-flat region in 3D space

    scalar field (that is, a function of position which returns a scalar as a value), or a vector field (that is, a function which returns a vector as value)

    Surface integral

    Surface integral

    Surface_integral

  • Hamiltonian vector field
  • Vector field defined for any energy function

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

    Hamiltonian vector field

    Hamiltonian_vector_field

  • Poynting vector
  • Measure of directional electromagnetic energy flux

    letters represent vectors and E is the electric field vector; H is the magnetic field's auxiliary field vector or magnetizing field. This expression is

    Poynting vector

    Poynting vector

    Poynting_vector

  • Field (physics)
  • Physical quantities taking values at each point in space and time

    In science, a field or field quantity is a physical quantity – represented by a scalar, vector, spinor, or tensor – that has a value for each point in

    Field (physics)

    Field (physics)

    Field_(physics)

  • 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

  • Lie group
  • Group that is also a differentiable manifold with group operations that are smooth

    the Lie bracket of vector fields. Any tangent vector at the identity of a Lie group can be extended to a left invariant vector field by left translating

    Lie group

    Lie group

    Lie_group

  • Electromagnetic field
  • Electric and magnetic fields produced by moving charged objects

    field is 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

    Electromagnetic field

    Electromagnetic field

    Electromagnetic_field

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

    Symplectic vector field

    Symplectic_vector_field

  • Reeb vector field
  • Mathematical concept

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

    Reeb vector field

    Reeb_vector_field

  • Lie bracket of vector fields
  • Operator in differential topology

    mathematical field of differential topology, the Lie bracket of vector fields, also known as the Jacobi–Lie bracket or the commutator of vector fields, is an

    Lie bracket of vector fields

    Lie_bracket_of_vector_fields

  • Vector calculus
  • Calculus of vector-valued functions

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

    Vector calculus

    Vector_calculus

  • Magnetic vector potential
  • Quantity in electromagnetism

    electromagnetism, magnetic vector potential (often denoted A) is the vector quantity defined so that its curl is equal to the magnetic field, B: ∇ × A = B {\textstyle

    Magnetic vector potential

    Magnetic vector potential

    Magnetic_vector_potential

  • Fundamental vector field
  • Instrument in differential geometry

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

    Fundamental vector field

    Fundamental_vector_field

  • Del
  • Vector differential operator

    field (or sometimes of a vector field, as in the Navier–Stokes equations); the divergence of a vector field; or the curl (rotation) of a vector field

    Del

    Del

  • 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

  • Parallel transport
  • System of moving vectors in differential geometry

    with straight lines in Euclidean space, we may say that the tangent vector field along a geodesic in a Riemannian manifold (the analogue of a straight

    Parallel transport

    Parallel transport

    Parallel_transport

  • Closed and exact differential forms
  • Concept of vector calculus

    In mathematics, especially vector calculus and differential topology, a closed form is a differential form α whose exterior derivative is zero (dα = 0);

    Closed and exact differential forms

    Closed_and_exact_differential_forms

  • Covariant derivative
  • Specification of a derivative along a tangent vector of a manifold

    presents an introduction to the covariant derivative of a vector field with respect to a vector field, both in a coordinate-free language and using a local

    Covariant derivative

    Covariant_derivative

  • 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

  • Flux
  • Mathematical concept applicable to physics

    property. In vector calculus, flux is a scalar quantity, defined as the surface integral of the perpendicular component of a vector field over a surface

    Flux

    Flux

  • Beltrami vector field
  • 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

    Beltrami vector field

    Beltrami_vector_field

  • Gravitational field
  • Vector field representing a mass's effect on surrounding space

    In physics, a gravitational field or gravitational acceleration field is a vector field used to explain the influences that a body extends into the space

    Gravitational field

    Gravitational field

    Gravitational_field

  • 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

  • Tangent bundle
  • Tangent spaces of a manifold

    example of a vector bundle (which is a fiber bundle whose fibers are vector spaces). A section of T M {\displaystyle TM} is a vector field on M {\displaystyle

    Tangent bundle

    Tangent bundle

    Tangent_bundle

  • Hairy ball theorem
  • Theorem in differential topology

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

    Hairy ball theorem

    Hairy ball theorem

    Hairy_ball_theorem

  • 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

  • Laplace operator
  • Differential operator in mathematics

    returned vector field is equal to the vector field of the scalar Laplacian applied to each vector component. The vector Laplacian of a vector field A {\displaystyle

    Laplace operator

    Laplace_operator

  • Lie derivative
  • Type of derivative in differential geometry

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

    Lie derivative

    Lie_derivative

  • Mathematical descriptions of the electromagnetic field
  • Formulations of electromagnetism

    field uses two three-dimensional vector fields called the electric field and the magnetic field. These vector fields each have a value defined at every

    Mathematical descriptions of the electromagnetic field

    Mathematical descriptions of the electromagnetic field

    Mathematical_descriptions_of_the_electromagnetic_field

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

    Projective vector field

    Projective_vector_field

  • 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 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

  • Vector calculus identities
  • Mathematical identities

    three-dimensional Cartesian coordinate variables, the gradient is the vector field: grad ⁡ ( f ) = ∇ f = ( ∂ ∂ x ,   ∂ ∂ y ,   ∂ ∂ z ) f = ∂ f ∂ x i + ∂

    Vector calculus identities

    Vector_calculus_identities

  • Vector fields on spheres
  • How many linearly independent smooth nowhere-zero vector fields can be on an n-sphere

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

    Vector fields on spheres

    Vector_fields_on_spheres

  • Tensor field
  • Assignment of a tensor continuously varying across a region of space

    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

    Tensor field

    Tensor field

    Tensor_field

  • 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

  • Sasakian manifold
  • orbits is a Kähler orbifold. The Reeb vector field at the Sasakian manifold at unit radius is a unit vector field and tangential to the embedding. A Sasakian

    Sasakian manifold

    Sasakian_manifold

  • Divergence theorem
  • Theorem in calculus

    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

    Divergence theorem

    Divergence_theorem

  • Gauss's law for magnetism
  • Foundational law of classical magnetism

    It states that the magnetic field B has divergence equal to zero, in other words, that it is a solenoidal vector field. It is equivalent to the statement

    Gauss's law for magnetism

    Gauss's law for magnetism

    Gauss's_law_for_magnetism

  • Coercive function
  • Mathematical function

    on the context different exact definitions of this idea are in use. A vector field f : Rn → Rn is called coercive if f ( x ) ⋅ x ‖ x ‖ → + ∞  as  ‖ x ‖

    Coercive function

    Coercive_function

  • Variational vector field
  • Vector field

    mathematical fields of the calculus of variations and differential geometry, the variational vector field is a certain type of vector field defined on the

    Variational vector field

    Variational_vector_field

  • Differential geometry of surfaces
  • Mathematics of smooth surfaces

    tangential vector fields. Given a tangential vector field X and a tangent vector Y to S at p, the covariant derivative ∇YX is a certain tangent vector to S

    Differential geometry of surfaces

    Differential geometry of surfaces

    Differential_geometry_of_surfaces

  • Pushforward (differential)
  • Linear approximation of smooth maps on tangent spaces

    a vector field along φ, i.e., a section of φ∗TN over M. Any vector field Y on N defines a pullback section φ∗Y of φ∗TN with (φ∗Y)x = Yφ(x). A vector field

    Pushforward (differential)

    Pushforward (differential)

    Pushforward_(differential)

  • Conformal Killing vector field
  • Vector field in conformal geometry

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

    Conformal Killing vector field

    Conformal_Killing_vector_field

  • Quantum field theory
  • Theoretical framework in physics

    convenient description of gravity based on fields—a numerical quantity (a vector in the case of gravitational field) assigned to every point in space indicating

    Quantum field theory

    Quantum field theory

    Quantum_field_theory

  • Flow velocity
  • Vector field which is used to mathematically describe the motion of a continuum

    electromagnetism, is a vector field used to mathematically describe the motion of a continuum. The length of the flow velocity vector is scalar, the flow

    Flow velocity

    Flow_velocity

  • Vector
  • Topics referred to by the same term

    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

    Vector

    Vector

  • Tensors in curvilinear coordinates
  • deformation of matter in fluid mechanics and continuum mechanics. Elementary vector and tensor algebra in curvilinear coordinates is used in some of the older

    Tensors in curvilinear coordinates

    Tensors_in_curvilinear_coordinates

  • Normal (geometry)
  • Line or vector perpendicular to a curve or a surface

    normal, to a surface at point P is a vector perpendicular to the tangent plane of the surface at P. The vector field of normal directions to a surface is

    Normal (geometry)

    Normal (geometry)

    Normal_(geometry)

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

    force field is a vector field corresponding with a non-contact force acting on a particle at various positions in space. Specifically, a force field is a

    Force field (physics)

    Force field (physics)

    Force_field_(physics)

  • Vector potential
  • Mathematical concept in vector 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 potential

    Vector_potential

  • Affine vector field
  • Type of vector field

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

    Affine vector field

    Affine_vector_field

  • Levi-Civita connection
  • Affine connection on the tangent bundle of a manifold

    Z are smooth vector fields on M, i. e. smooth sections of TM. [X, Y] is the Lie bracket of X and Y. It is again a smooth vector field. The metric g can

    Levi-Civita connection

    Levi-Civita connection

    Levi-Civita_connection

  • Vector Field Histogram
  • In robotics, Vector Field Histogram (VFH) is a real time motion planning algorithm proposed by Johann Borenstein and Yoram Koren in 1991. The VFH utilizes

    Vector Field Histogram

    Vector_Field_Histogram

  • Poincaré–Hopf theorem
  • Counts 0s of a vector field on a differentiable manifold using its Euler characteristic

    the hairy ball theorem, which simply states that there is no smooth vector field on an even-dimensional n-sphere having no sources or sinks. Let M {\displaystyle

    Poincaré–Hopf theorem

    Poincaré–Hopf theorem

    Poincaré–Hopf_theorem

  • Electromagnetic tensor
  • Mathematical object that describes the electromagnetic field in spacetime

    \mathbf {A} } is a vector potential for the solenoidal vector field B {\displaystyle \mathbf {B} } ). The electric and magnetic fields can be obtained from

    Electromagnetic tensor

    Electromagnetic tensor

    Electromagnetic_tensor

  • Boundary vector field
  • Animation terminology

    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

    Boundary vector field

    Boundary_vector_field

  • Field line
  • Visual aid to depiction of a vector field

    field line is a graphical visual aid for visualizing vector fields. It consists of an imaginary integral curve which is tangent to the field vector at

    Field line

    Field line

    Field_line

  • Gradient vector flow
  • Computer vision framework

    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

    Gradient vector flow

    Gradient vector flow

    Gradient_vector_flow

  • Diffusion model
  • Technique for the generative modeling of a continuous probability distribution

    flow along a time-dependent vector field, and the backward process is also a deterministic flow along the same vector field, but going backwards. Both

    Diffusion model

    Diffusion_model

  • Scalar field
  • Assignment of numbers to points in space

    example Higgs-like fields. Vector fields, which associate a vector to every point in space. Some examples of vector fields include the air flow (wind)

    Scalar field

    Scalar field

    Scalar_field

  • Generalized Stokes theorem
  • Statement about integration on manifolds

    In vector calculus and differential geometry the generalized Stokes theorem (sometimes with apostrophe as Stokes' theorem or Stokes's theorem), also called

    Generalized Stokes theorem

    Generalized_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

  • 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

  • Mathematics of general relativity
  • of a charged particle in such a field. Vector fields are contravariant rank one tensor fields. Important vector fields in relativity include the four-velocity

    Mathematics of general relativity

    Mathematics_of_general_relativity

  • Angular velocity tensor
  • it can be regarded as a constant vector field. In particular, the spin angular velocity is a Killing vector field belonging to an element of the Lie

    Angular velocity tensor

    Angular_velocity_tensor

  • Straightening theorem for vector fields
  • differential calculus, the domain-straightening theorem states that, given a vector field X {\displaystyle X} on a manifold, there exist local coordinates y 1

    Straightening theorem for vector fields

    Straightening_theorem_for_vector_fields

  • Vector area
  • Concept in 3-dimensional geometry

    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

    Vector area

    Vector_area

  • Jacobi field
  • Vector field in Riemannian geometry

    In Riemannian geometry, a Jacobi field is a vector field along a geodesic γ {\displaystyle \gamma } in a Riemannian manifold describing the difference

    Jacobi field

    Jacobi_field

  • Interface conditions for electromagnetic fields
  • Behaviour of electromagnetic fields

    neighbourhood around the point to which they are applied, otherwise the vector fields and H are not differentiable. In other words, the medium must be continuous[no

    Interface conditions for electromagnetic fields

    Interface_conditions_for_electromagnetic_fields

  • Material derivative
  • Time rate of change of some physical quantity of a material element in a velocity field

    For example, for a macroscopic scalar field ϕ ( x , t ) {\displaystyle \phi (x,t)} and a macroscopic vector field A ( x , t ) {\displaystyle \mathbf {A}

    Material derivative

    Material_derivative

  • Cauchy–Riemann equations
  • Characteristic property of holomorphic functions

    In fluid dynamics, such a vector field is a potential flow. In magnetostatics, such vector fields model static magnetic fields on a region of the plane

    Cauchy–Riemann equations

    Cauchy–Riemann equations

    Cauchy–Riemann_equations

  • Levi-Civita symbol
  • Antisymmetric permutation object acting on tensors

    )=-\mathbf {b} \cdot (\mathbf {a\times c} )} . If F = (F1, F2, F3) is a vector field defined on some open set of R 3 {\displaystyle \mathbb {R} ^{3}} as a

    Levi-Civita symbol

    Levi-Civita_symbol

  • Classical field theory
  • Physical theory describing classical fields

    constitutes a vector field. As the day progresses, the directions in which the vectors point change as the directions of the wind change. The first field theories

    Classical field theory

    Classical_field_theory

  • Pseudovector
  • Physical quantity that changes sign with improper rotation

    dimensions, the curl of a polar vector field at a point and the cross product of two polar vectors are pseudovectors. A number of vector physical quantities behave

    Pseudovector

    Pseudovector

    Pseudovector

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

    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 called Hamel

    Dimension (vector space)

    Dimension (vector space)

    Dimension_(vector_space)

  • Gauge theory
  • Physical theory with fields invariant under the action of local "gauge" Lie groups

    there necessarily arises a corresponding field (usually a vector field) called the gauge field. Gauge fields are included in the Lagrangian to ensure

    Gauge theory

    Gauge theory

    Gauge_theory

  • Vector boson
  • Boson with spin 1

    the Higgs boson as shown in the Feynman diagram. The name vector boson arises from quantum field theory. The component of such a particle's spin along any

    Vector boson

    Vector_boson

  • Interior product
  • Mapping from p forms to p-1 forms

    the contraction of a differential form with a vector field. Thus if X {\displaystyle X} is a vector field on the manifold M , {\displaystyle M,} then ι

    Interior product

    Interior_product

  • Exterior algebra
  • Algebra associated to any vector space

    built from vector spaces, such as vector fields and functions whose domain is a vector space. Moreover, the field of scalars may be any field. More generally

    Exterior algebra

    Exterior algebra

    Exterior_algebra

  • Lagrangian (field theory)
  • Application of Lagrangian mechanics to field theories

    for vector fields, tensor fields, and spinor fields. In physics, fermions are described by spinor fields. Bosons are described by tensor fields, which

    Lagrangian (field theory)

    Lagrangian_(field_theory)

  • Isotropic vector field
  • 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 V

    Isotropic vector field

    Isotropic vector field

    Isotropic_vector_field

  • Contact geometry
  • Branch of geometry

    there are globally inequivalent contact structures. Unlike a vector field or a covector field (i.e. a 1-form), a contact structure does not have an intrinsic

    Contact geometry

    Contact_geometry

  • Differential form
  • Expression that may be integrated over a region

    {\displaystyle 1} -forms are naturally dual to vector fields on a differentiable manifold, and the pairing between vector fields and 1 {\displaystyle 1} -forms is

    Differential form

    Differential_form

  • Affine connection
  • Construct allowing differentiation of tangent vector fields of manifolds

    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

    Affine connection

    Affine connection

    Affine_connection

  • Vector flow
  • Concepts in mathematics

    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 flow

    Vector_flow

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

    Vector-field consistency

    Vector-field_consistency

  • Vector operator
  • Differential operator used in vector calculus

    scalar field, producing a vector field. Divergence is a vector operator that operates on a vector field, producing a scalar field. Curl is a vector operator

    Vector operator

    Vector_operator

  • Tensor derivative (continuum mechanics)
  • where c is an arbitrary constant vector and v is a vector field. Consider a vector field v and an arbitrary constant vector c. In index notation, the cross

    Tensor derivative (continuum mechanics)

    Tensor_derivative_(continuum_mechanics)

AI & ChatGPT searchs for online references containing VECTOR FIELD

VECTOR FIELD

AI search references containing VECTOR FIELD

VECTOR FIELD

  • Doctor
  • Boy/Male

    English American

    Doctor

    Doctor; teacher.

    Doctor

  • Victor
  • Boy/Male

    Christian & English(British/American/Australian)

    Victor

    Conqueror

    Victor

  • EKTOR
  • Male

    Greek

    EKTOR

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

    EKTOR

  • VESTER
  • Male

    English

    VESTER

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

    VESTER

  • 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

  • Victoro
  • Boy/Male

    Spanish

    Victoro

    Victor.

    Victoro

  • 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

  • Victor
  • Boy/Male

    Latin American Spanish

    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

  • VICTOR
  • Male

    English

    VICTOR

    Roman Latin name VICTOR means "conqueror." 

    VICTOR

  • HECTOR
  • Male

    English

    HECTOR

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

    HECTOR

  • 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

  • VITOR
  • Male

    Portuguese

    VITOR

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

    VITOR

  • 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

  • Ector
  • Boy/Male

    Arthurian Legend

    Ector

    Father of Arthur.

    Ector

  • 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

  • VIKTOR
  • Male

    Scandinavian

    VIKTOR

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

    VIKTOR

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Online names & meanings

  • Hingston
  • Surname or Lastname

    English (Devon)

    Hingston

    English (Devon) : habitational name from any of three places so named. Hingston, Cornwall and Hingston Down in Moretonhampstead, Devon are both named from the Old English byname Hengest (or from Old English hengest ‘stallion’) + Old English dūn ‘hill’, while Hingston in Bigbury, Devon is named from Old English hind ‘hind’ + stān ‘stone’.

  • Tamonud
  • Boy/Male

    Hindu, Indian

    Tamonud

    Dispersing Darkness; Fire; Lamp; The Moon

  • Donegan
  • Boy/Male

    Irish

    Donegan

    Surname.

  • ALKIPPE
  • Female

    Greek

    ALKIPPE

    (Αλκιππη) Greek name ALKIPPE means "mighty mare." In mythology, this was the name of a daughter of Ares.

  • Nirvani
  • Girl/Female

    Hindu, Indian, Marathi, Sanskrit

    Nirvani

    Goddess of Bliss

  • Yagyesh
  • Boy/Male

    Hindu

    Yagyesh

    Lord of the sacrificial fire

  • Moon
  • Girl/Female

    Hindu

    Moon

    The Moon

  • Nibodhitha | நீபோதீதா
  • Girl/Female

    Tamil

    Nibodhitha | நீபோதீதா

    Having been enlightened

  • Radhakanta
  • Boy/Male

    Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Telugu

    Radhakanta

    Lord Krishna

  • Ajeetbir
  • Boy/Male

    Indian, Punjabi, Sikh

    Ajeetbir

    Invincible Brave

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Other words and meanings similar to

VECTOR FIELD

AI search in online dictionary sources & meanings containing VECTOR FIELD

VECTOR FIELD

  • 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.

  • 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.

  • Versor
  • n.

    The turning factor of a quaternion.

  • 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.

  • 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.

  • 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.

  • Oxbird
  • n.

    An African weaver bird (Textor alector).

  • Sector
  • n.

    An astronomical instrument, the limb of which embraces a small portion only of a circle, used for measuring differences of declination too great for the compass of a micrometer. When it is used for measuring zenith distances of stars, it is called a zenith sector.

  • Rectory
  • n.

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

  • Bivector
  • n.

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

  • 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.

    Same as Radius vector.

  • 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.

  • 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.

  • Ductor
  • n.

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

  • Victress
  • n.

    A woman who wins a victory; a female victor.

  • Rectorial
  • a.

    Pertaining to a rector or a rectory; rectoral.

  • 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.

  • Venter
  • n.

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

  • Doctor
  • v. t.

    To confer a doctorate upon; to make a doctor.