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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...

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...

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...

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...

curl is a given vector field Vector flow, a set of closely related concepts of the flow determined by a vector field Ricci calculus Vector Analysis, a textbook...

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...

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

In mathematics, a Killing vector field (often called a Killing field), named after Wilhelm Killing, is a vector field on a Riemannian manifold (or pseudo-Riemannian...

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

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

{V}}} or Q = volume flow rate, ρ = mass density of the fluid, v = flow velocity of the mass elements, A = cross-sectional vector area/surface, jm = mass...

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...

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...

engineered, developed and manufactured by Vector Motors of Wilmington, California in 1992. Conceived by Vector Motors founder and chief designer Gerald...

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

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...

smooth manifold M a third vector field denoted [X, Y]. Conceptually, the Lie bracket [X, Y] is the derivative of Y along the flow generated by X, and is...

surfaces can induce a thermal low, which then augments the environmental wind flow. Wind roses are tools used to display the direction of the prevailing wind...