Sentence examples for no exact solution from inspiring English sources

Because there is no exact solution for this problem, one has to use some approximate methods.

No exact solution has been found yet, to solve this problem using polynomial amount of time and space.

This paper considers a more "moderate" restriction: the case of edges elastically restrained against rotation for which no exact solution appears in the open literature.

Because of a singularity in the governing one-dimensional heat diffusion equation for a fin with circular profile, no exact solution is possible for the circular heat sink geometry.

No exact solution can be found, nor is it easy to find the exact number of local optima; we, therefore, are forced to settle with approximate or near-optimal solutions.

Although this is a textbook problem, which has been studied a long time ago, no exact solution in the framework of linear theory seems to have been given so far.

However, there still is no any exact solution for this problem, and the reported numerical calculations [27] performed for an isolated hemisphere in a uniform dielectric surrounding (ϵsub = ϵcover) have shown that even in this case about 1% rounding of the hemisphere edge results in a meaningful shift of the resonant frequency.

"There are no exact solutions," she said, after a long pause.

There are no exact solutions of the HR equations for the dynamic erosion of multi-size-classed soil.

The natural frequencies and mode shapes of a composite rectangular membrane with no exact solutions are found by using an analytical method appropriate for the geometric feature of the title problem membrane presented here.

We will consider two examples where there are no exact solutions.