Sentence examples for solutions given in from inspiring English sources

The topology optimization procedure uses self-similar iteration until minimal mass is achieved, and this problem is completely solved, with global optimal solutions given in closed form.

With these parameters the validity of several simplifications can easily be demonstrated and solutions, given in the literature, can be put in perspective.

The results, obtained with different theories within CUF, are compared with the elasticity solutions given in the literature and the layer-wise solution.

The effects of the major influences in this area are illustrated by generalised solutions, given in dimensionless forms, for a standard case chosen to approximate to many real situations: the parallel-plate duct with heat input from one side.

The purpose is to present explanation in details for solutions given in the standard because there are not clear descriptions for many results and it is not easy for a safety engineer to find the clue.

Results indicate that the safety level during fire and the fire resistance time are both highly sensitive to the ratio of the variable to the permanent load and that the accepted design solutions given in EN 1992-1-2 are rather conservative.

end{aligned} (32) The analytic solution given in (32) involves an integral that may be numerically calculated.

Paullet[2] claimed an error in the perturbation and numerical solutions given in[1] for large values of α.

The solution given in "Trouble With Trash" (editorial, July 13) looks to the past and not to the future.

A very simple exact solution given in the paper permits the computation of "added virtual mass factors".

The solution, given in Part I, is based on Galerkin's method combined with use of special polynomial series presented by Kantorovich and Krylov.