Sentence examples for which are solutions from inspiring English sources

We use fields which are solutions of a problem with relaxed conditions with regard to the real problem.

First, we enrich the local approximation spaces with precomputed phases which are solutions of the eikonal equation in geometrical optics.

Level set functions are used to construct the adaptive grids, which are solutions of the standard level set evolution equation with the Cartesian coordinates as initial values.

These results are then applied to the Ornstein-Uhlenbeck semi-group on Wiener space, where it is obtained that the real random variables, which are solutions of lipschitzian stochastic differential equations, always have probability densities after perhaps an initial deterministic phase.

They included both algebraic numbers, which are solutions of polynomials with finite numbers of terms--3, for example--and "transcendental" numbers like and e, which are not algebraic.

We are particularly interested in a class of differential forms which are solutions of the well-known nonhomogeneous -harmonic equation: (12).

Samples were prepared by three different methods, which were; solution casting, spin-coating and electrospinning.

In the general case, we shall consider growth functions which are -solutions of elliptic equations [12].

They're so clearly under the influence of the fossil fuel industry that they're coming up with cockamamie solutions which aren't solutions.

Then beam system (5.1) has at least three solutions, two of which are nontrivial solutions.

two of which are nontrivial solutions.