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... 23 KB (3,525 words) - 17:53, 8 May 2024 |
vector calculus a solenoidal vector field (also known as an incompressible vector field, a divergence-free vector field, or a transverse vector field)... 4 KB (430 words) - 18:41, 15 December 2023 |
force field F, defined everywhere in space (or within a simply-connected volume of space), is called a conservative force or conservative vector field if... 11 KB (1,646 words) - 12:50, 9 March 2024 |
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... 28 KB (4,070 words) - 05:54, 3 April 2024 |
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... 4 KB (537 words) - 04:41, 3 October 2023 |
codomain, Conservative vector field, a vector field that is the gradient of a scalar potential field Hamiltonian vector field, a vector field defined for... 10 KB (2,010 words) - 16:02, 9 April 2024 |
Vector calculus or vector analysis is a branch of mathematics concerned with the differentiation and integration of vector fields, primarily in three-dimensional... 21 KB (2,078 words) - 17:06, 19 April 2024 |
Gradient (redirect from Gradient vector) In vector calculus, the gradient of a scalar-valued differentiable function f {\displaystyle f} of several variables is the vector field (or vector-valued... 35 KB (5,360 words) - 11:16, 8 May 2024 |
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... 5 KB (637 words) - 19:50, 1 May 2024 |
In vector calculus, a complex lamellar vector field is a vector field which is orthogonal to a family of surfaces. In the broader context of differential... 9 KB (1,096 words) - 21:08, 13 February 2024 |
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... 15 KB (2,033 words) - 01:28, 30 April 2024 |
Line integral (redirect from Line integral of a vector field) 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... 20 KB (3,090 words) - 06:11, 29 April 2024 |
Scalar potential (category Vector calculus) that V is a scalar potential of the conservative vector field F. Scalar potential is not determined by the vector field alone: indeed, the gradient of a... 15 KB (2,079 words) - 15:37, 8 May 2024 |
justification for belief Conservative force, a physical force whose work is path-independent Conservative vector field, a vector field that is the gradient... 2 KB (280 words) - 20:22, 30 January 2023 |
Electromagnetic tensor (redirect from Electromagnetic field tensor) {\displaystyle \phi } is a scalar potential for the irrotational/conservative vector field E → {\displaystyle {\vec {E}}} ) and A → ( x → , t ) {\displaystyle... 16 KB (2,790 words) - 17:05, 30 March 2024 |
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... 8 KB (1,062 words) - 21:56, 2 February 2024 |
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... 43 KB (5,486 words) - 13:02, 9 April 2024 |
curl, denoted ∇×, of the vector field vanishes. In the case of the gravitational field g, which can be shown to be conservative, it is equal to the gradient... 9 KB (1,139 words) - 18:38, 21 March 2024 |
if the vector field F is the gradient of some scalar-valued function (i.e., if F is conservative), then F is a path-independent vector field (i.e., the... 20 KB (3,001 words) - 18:43, 3 April 2024 |
Electric potential (redirect from Vector potential difference) point can be used. In classical electrostatics, the electrostatic field is a vector quantity expressed as the gradient of the electrostatic potential... 18 KB (2,247 words) - 05:15, 30 March 2024 |
exact form. In 3 dimensions, an exact vector field (thought of as a 1-form) is called a conservative vector field, meaning that it is the derivative (gradient)... 13 KB (2,228 words) - 18:37, 5 May 2024 |
conservative vector field this integral evaluates to zero for every closed curve. That means that a line integral between any two points in the field... 8 KB (903 words) - 01:25, 10 December 2023 |
any C 1 {\displaystyle C^{1}} vector field that has the path-independence property (so it is a conservative vector field.) must also be irrotational and... 19 KB (2,837 words) - 22:14, 8 April 2024 |
In physics, a field is a physical quantity, represented by a scalar, vector, or tensor, that has a value for each point in space and time. For example... 33 KB (3,976 words) - 00:50, 11 April 2024 |
its reciprocal density (ρ) Particle number (ni) Markov property Conservative vector field Nonholonomic system Equation of state State variable Callen 1985... 9 KB (1,361 words) - 14:28, 21 March 2024 |
Stokes' theorem (category Vector calculus) in vector calculus on R 3 {\displaystyle \mathbb {R} ^{3}} . Given a vector field, the theorem relates the integral of the curl of the vector field over... 28 KB (4,710 words) - 15:30, 26 January 2024 |
of which is characterized by an irrotational solenoidal field or a conservative vector field. Control System Analysis: Control Systems - The application... 59 KB (7,077 words) - 21:25, 3 May 2024 |
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... 27 KB (3,818 words) - 20:44, 17 February 2024 |
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... 11 KB (1,305 words) - 12:15, 25 March 2024 |