Where is the flux ( discharge per unit area, with units of length per time, m / s ) and is the pressure gradient vector ( Pa / m ).
12.
*Any scalar field ( e . g . temperature, air pressure, moisture, & hellip; ) gives rise to a vector field; namely the gradient vector field.
13.
When in the unstable configuration, for a particular harmonic component of the initial perturbation, the torque on the interface creates vorticity that will tend to increase the misalignment of the gradient vectors.
14.
At each image point, the gradient vector points in the direction of largest possible intensity increase, and the length of the gradient vector corresponds to the rate of change in that direction.
15.
At each image point, the gradient vector points in the direction of largest possible intensity increase, and the length of the gradient vector corresponds to the rate of change in that direction.
16.
To relate these constraints, we note that the gradient vector of the kinetic energy with respect to angular velocity vector \ boldsymbol \ omega equals the angular momentum vector \ mathbf { L}
17.
The gradient ( or gradient vector field ) of a scalar function is denoted or " f " } } where ( the nabla symbol ) denotes the vector differential operator, del.
18.
This condition may be expressed in linear algebra as a constraint that the gradient vector of the motion of the vertices must have zero inner product with the row of the rigidity matrix that represents the given edge.
19.
For example, if the subarc of a domain boundary has zero transparency, and the flow of the gradient vector field of the function through the rest of the boundary is small enough, then the domain for such function is its stagnation zone.
20.
As a consequence of its definition, the Sobel operator can be implemented by simple means in both hardware and software : only eight image points around a point are needed to compute the corresponding result and only integer arithmetic is needed to compute the gradient vector approximation.
