Sentence examples for coordinates involves from inspiring English sources

In essence, the transformation to these coordinates involves setting up a moving orthonormal system around the limit cycle.

For the conformal array consisting of M × N electromagnetic vector sensors, the transformation between different coordinates involves 91 × 6 × MN operations.

The theoretical distributions, in the context of potential flow, have the same expression when re-scaled in terms of coordinates involving quantities at specific points.

The mapping between the curvilinear coordinates and the Cartesian coordinates is provided by a set of Laplace equations which, expressed in curvilinear coordinates, involve the components of the metric tensor and are therefore non-linear and coupled.

The mathematical expressions for the EM radiation force components (i.e. longitudinal and transverse) are exact, and have been formulated in partial-wave series expansions in cylindrical coordinates involving the angle of incidence, the interparticle distance and the expansion coefficients.

In order to compute à and B̃, a change of coordinates involving the right and left eigenvectors of the Jacobian matrix (J(E_{0})) associated with the eigenvalue (lambda=0) is required.

To determine the equilibrium configurations of these boron nanowires, we relax all atomic coordinates involved using a conjugate gradient algorithm until the maximum atomic force of less than 0.02 eV/Å is achieved.

This is usually done by umbrella sampling calculations with a reaction coordinate involving the bond distances that define the chemical transformation (but other reaction coordinate definitions can also be used).

Unlike other Poisson solvers on the unit disc no polar coordinates are involved.

Jeffrey Farrow, who coordinated issues involving Puerto Rico for the president, said the administration felt Medicare unfairly penalized Puerto Rico by paying a lower rate there than in the 50 states.

But Putnam proved disappointing as a tactician, being unable to plan and coordinate operations involving large numbers of troops.