Sentence examples for the problem yields from inspiring English sources

Further simplification of the problem yields a form that can be solved analytically.

The solution of the problem yields the optimum values of inner pipe diameter, outer pipe diameter and utility flow rate to be used for a double pipe heat exchanger of a given length, when a specified flow rate of process stream is to be treated for a given inlet to outlet temperature.

In both examples, although an object involved in the problem is biological, what one learns from doing the problem yields no new biological insight.

All our lives, we've made things work, we've made things bend to our will, and if they didn't bend we tried harder, pushed longer, and lost sleep until the problem yielded to our indomitable intellect.

However, since it is assumed in this study that all the established facilities were considered open, results obtained by applying the CS-LF algorithm to the problem yielded better facility locations.

The solution to this problem yields the globally optimal sensor network.

The solution of this problem yields the values of CCs s c, namely: s c = - P CC + P DC s d, (8).

The mathematical formulation of this problem yields a nonlinear two-point boundary-value problem which is reduced to an initial-value problem by change of variables.

The exact solution of the Riemann problem yields the state variables on both sides of the discontinuity.

Solving the eigenvalue problem yields the definition of the Evans function.

To answer these questions, a reduction is given from genotype problem instances to haplotype problem instances, and it is shown that solving the haplotype problem yields the solution to the genotype problem, up to constant factors or coefficients.