Sentence examples for solution in the cases from inspiring English sources

It achieves the optimal solution in the cases with no more than seven terminals.

The present solution converges to the physically correct solution in the cases of infinite and zero shear stiffness.

If the rate of this reaction is less than that of incorporation and not limited by oxidant diffusion in solution, in the cases investigated (solid intermetallic compounds of alkali metals) the chemical reaction rate is linearly related to potential.

Due to the vector field of (2.5), the positive periodic solution is order-1 in the cases of (a) and (c) and it is an order-2 periodic solution in the cases of (b) and (d).

We note, however, that this method of analysis cannot detect the existence of one analytic particular solution in the cases where the other linearly independent solution cannot be written also in closed form.

From Assumptions (A1), (A2), and (A3), we can show, by the same reasoning as given in Theorem 4 of [26], that the problem (1) when (hequiv0) does not possess any non-zero weak solution in the cases where impulsive terms are zero.

This paper proposes a solution in the case of meshes made of hexahedra.

Checking to see if any particular solution is correct is simple, but finding the best solution in the case of very large problems is infinitely difficult.

The parameter stability of solution in the case of principal parametric resonance is developed.

The non-stationary solution is derived from the solution in the case of a moving load with a deterministic amplitude.

A simple analytical approximation for the solution in the case of negligible external mass transfer resistance is derived.