Sentence examples for by a unique vector from inspiring English sources

It is shown that the cost function is minimized by a unique vector of complex secondary forces.

By using the model of an aircraft fuselage discussed in Part I, an analysis is presented which demonstrates that the total acoustic potential energy (Ep) within the cylindrical model is minimized by a unique vector of secondary force inputs.

In such a map, each goal location would have unique 3-component spatial coordinates (x, y and z), and/or each arm of the maze would be represented by a unique vector; animals could thus solve the task by visiting each of the relevant locations in the same way as they do on the standard radial maze.

We use (33) to find a unique vector with.

Then there exist a unique vector and a unique symmetric nonnegative definite matrix of such that (4.1).

Furthermore, there is a unique vector such that any vector corresponding to a Nash equilibrium satisfies (20).

The amount of resources owned by a server of each type are given by a unique resource vector.

Then, we compare all possible vectors with to find a unique symbol vector, where is a constellation size.

As shown by Shapley [11], its components are given by (9). and it is the unique vector satisfying the following axioms: (a) lies in the efficiency hyperplane, (b) it is invariant under permutation of players, and (c) if and are two games, then.

In particular this rigging fixes a unique null vector field (xiinGamma(TM^{bot})) called the rigged vector field.

In the approach, the interdependence structure was summarized by a unique covariance matrix through the conversion of the prediction errors to a multivariate Gaussian random vector.