a time dependent vector field is a construction in vector calculus which generalizes the concept of vector fields. It can be thought of as a vector field...

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...

one simple criterion is that the vector field F is compactly supported. In the case of time-dependent vector fields ⁠ F : R n × R → R n {\displaystyle...

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

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

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...

inversion is smooth. Let X ( t , x ) {\displaystyle X(t,x)} be a time dependent vector field on M {\displaystyle M} (in C ∞ ( R , X ( M ) ) {\displaystyle...

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...

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...

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...

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

{\displaystyle \sigma (t):=1-2\lambda t} and integrating the time-dependent vector field X ( t ) := 1 σ ( t ) V {\displaystyle X(t):={\frac {1}{\sigma...

are time-dependent vector fields that in vacuum depend on a third vector field A ( r , t ) {\displaystyle \mathbf {A} (\mathbf {r} ,t)} (the vector potential)...

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...

σ {\displaystyle {\boldsymbol {\sigma }}} is the vector of Pauli matrices. Solving the time dependent Schrödinger equation H ψ = i ℏ ∂ t ψ {\displaystyle...

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...

assigning a vector to each point of space, called a vector field (more precisely, a pseudovector field). In electromagnetics, the term magnetic field is used...

macroscopic velocity is represented by the vector field u(x, t). The (total) derivative with respect to time of φ is expanded using the multivariate chain...

in space and time for each electric and magnetic vector field component in Maxwell's curl equations. The descriptor "Finite-difference time-domain" and...

potential ϕ {\displaystyle \phi } and the vector potential A {\displaystyle \mathbf {A} } which are used to find the fields as is commonly done. Considering cases...

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

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...

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...

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

H_{\text{S}}t/\hbar }|\psi (0)\rangle } be the time-dependent state vector in the Schrödinger picture. A state vector in the interaction picture, | ψ I ( t )...

{\displaystyle U(x,t)=u(x,t){\frac {\partial }{\partial x}}} be a time-dependent vector field on S 1 {\displaystyle S^{1}} , and let { φ t } {\displaystyle...

(x,t)} as used above can be written as the inner product of a time-dependent state vector | Ψ ( t ) ⟩ {\displaystyle |\Psi (t)\rangle } with unphysical...

are highly dependent on proper seed points. Texture-based methods, like LIC, avoid these problems since they depict the entire vector field at point-like...

Bloch equations, which define the dynamics of the pseudo-spin vector in an electric field: u ˙ = − δ v , {\displaystyle {\dot {u}}=-\delta v,} v ˙ = δ...

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