Sentence examples for explicit calculations from inspiring English sources

Explicit calculations of both kinds of enveloping algebras for specific Malcev algebras can be found in [7, 9, 59].

Note that the choice of K 0 as a basis for w is merely a convenience to allow explicit calculations.

Such models have the advantage of enabling explicit calculations of aerosol particle emission from completely evaporated or sublimated hydrometeor particles.

Unfortunately, the explicit calculations of viscous profiles for a regularization of (7) is in general a difficult task.

The result is inspired by explicit calculations for B-splines in Trebels and Steidl [26], Lemma 1.

The search direction is determined using a centroid solution of existing neighbor solutions without making explicit calculations of gradient information.

Here exact numerical commensurability and explicit calculation rules are the basis for both objectivity and rationality.

The last line of (32) agrees with the explicit calculation in [37].

This enables explicit calculation of the axial forces and strains within the liner system element.

In the case of locally reacting linings an explicit calculation of the attenuation curve is possible.

The proof is based on the explicit calculation of a sequence of symmetric positive-definite matrices (P_{k}) satisfying (46).