fundamental theorem of calculus. Vector fields can usefully be thought of as representing the velocity of a moving flow in space, and this physical intuition...

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...

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

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...

examples of vector flows include the geodesic flow, the Hamiltonian flow, the Ricci flow, the mean curvature flow, and Anosov flows. Flows may also be...

perpendicular component of a vector field over a surface. The word flux comes from Latin: fluxus means "flow", and fluere is "to flow". As fluxion, this term...

potential, a vector field whose curl is a given vector field Vector flow, a set of closely related concepts of the flow determined by a vector field Ricci...

mechanics the flow velocity in fluid dynamics, also macroscopic velocity in statistical mechanics, or drift velocity in electromagnetism, is a vector field used...

metric tensor. Killing vector fields are the infinitesimal generators of isometries; that is, flows generated by Killing vector fields are continuous isometries...

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...

In physics and engineering, mass flow rate is the rate at which mass of a substance changes over time. Its unit is kilogram per second (kg/s) in SI units...

description of electromagnetic fields, gravitational fields, and fluid flow. Vector calculus was developed from the theory of quaternions by J. Willard Gibbs...

) More precisely, the divergence at a point is the rate that the flow of the vector field modifies a volume about the point in the limit, as a small volume...

lines in a fluid flow. They differ only when the flow changes with time, that is, when the flow is not steady. Considering a velocity vector field in three-dimensional...

Volumetric flow rate can also be defined by Q = v ⋅ A , {\displaystyle Q=\mathbf {v} \cdot \mathbf {A} ,} where v = flow velocity, A = cross-sectional vector area/surface...

Daniel Ayala Valladares (born 15 January 1996), known artistically as Dani Flow, is a Mexican rapper, singer and songwriter, known for his vulgar, sexual...

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

on the following assumptions: The flow field can be described as two-dimensional plane flow, with velocity vector u = [ u ( x , y , t ) v ( x , y , t...

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...

field along the flow generated by X {\displaystyle X} . The Lie bracket is an R-bilinear operation and turns the set of all smooth vector fields on the...

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

they move along the flow. The vorticity ω {\displaystyle {\boldsymbol {\omega }}} would be twice the mean angular velocity vector of those particles relative...

system. Mass flow into the system is accounted as positive, and since the normal vector to the surface is opposite to the sense of flow into the system...

surfaces can induce a thermal low, which then augments the environmental wind flow. Wind direction at any given time is influenced by synoptic-scale and mesoscale...

mechanics model of gravity and characterize thermodynamic time as a vector flow of the statistical state. This thermodynamic time has the common characteristics...

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...

Optical flow or optic flow is the pattern of apparent motion of objects, surfaces, and edges in a visual scene caused by the relative motion between an...

The diffeomorphisms of a symplectic manifold arising from the flow of a Hamiltonian vector field are known as canonical transformations in physics and (Hamiltonian)...

engineering 2(1):315-337, 2000. Xu, Chenyang, and Jerry L. Prince. "Gradient vector flow: A new external force for snakes," Proceedings of IEEE Computer Society...

the equations is a flow velocity. It is a vector field—to every point in a fluid, at any moment in a time interval, it gives a vector whose direction and...