Sentence examples for extends the solution from inspiring English sources

This paper extends the solution domain for turning aircraft beyond that of identical aircraft by presenting a rigorous analysis of the problem through a generalised optimisation approach.

It also considers the problem of minimizing a cost function or performance measure; then extends the solution to problems with equality constraints.

This method extends the solution smoothly across the boundary in the same direction as the discretization it will be used for.

The MIB method smoothly extends the solution across the interface so that standard high order central finite difference schemes can be used without the loss of accuracy.

Note that despite the fact that the case n = 2 is solved in the previous section, the new material presented below extends the solution to all the cases.

For the sake of uniqueness, u ˜ ( t ) = u ( t + T ∗ − ϵ / 2 ) on [ 0, ϵ / 2 ) so that u ˜ extends the solution u beyond T ∗. We conclude that T ∗ < T u 0 ∗ and Theorem 1.2 is proved. □.

This article extends the solutions to the prediction problem for factorizable real random signals to the class of improper complex-valued random signals.

If you worked out how to do it with 4 doors, it shouldn't be too hard to extend the solution to 5.

Next, we extend the solution of RC-MCSB problem to our target problem and present a novel and efficient bottom-up solution.

This approach takes into account the a priori structural constraints of the synthesis problem, analytically extending the solution to the subdomain of synthesis as well as finding the tolerances for small perturbations of the objective functional.

Finally, extending the solution uniquely to the closed interval [ 0, 1 ], we reach the result.