Sentence examples for use of a basis from inspiring English sources

On the other hand, [51] proved experimentally and numerically that the use of a basis set containing optical vortices does not increase the number of degrees of freedom in an optical system.

Instead of using this global basis, the present paper deals with the use of a local basis to reduce the size of the problem without losing the nonlinear physics.

The critic makes use of a special basis function parameterization motivated by the policy-gradient compatible function approximation.

Nonetheless the use of a common basis of valuation makes it possible to obtain a total that fairly represents the level of output of a country.

Since the approach does not make use of a particular basis or a subset spanning the spline spaces, we analyze the smoothness properties of the trivariate splines.

In particular, the cyclic difference operator is introduced in lieu of cyclic averaging, and speed-dependence is captured by use of a flexible basis of B-splines whose knots density is automatically selected from the data.

A significant advantage of solving the eigenvalue problem is provided by the use of a reduced basis, which is due to a large reduction in computational cost.

Further, the accuracy of the developed technique is significantly enhanced via the use of an adaptive basis re-weighting procedure.

The techniques presented herein avoid the use of an infinite basis set and some of the complications of degenerate perturbation theory.

PCA makes use of an orthonormal basis to capture on a small set of vectors (the signal subspace) as much energy as possible from the observed data.

The responses indicated that the policy brief could be of use as a basis for decision-making.