Sentence examples for The solutions is from inspiring English sources

The solutions is compared with the numerical (fourth-order Runge Kutta) solution.

The solutions is purged with nitrogen, and kept under nitrogen atmosphere during measurements.

"One of the solutions is locating the MRIs on a 'mass damping system' - which effectively is a very large piece of concrete that sits on springs," Partridge says.

"One of the solutions is there has got to be again emphasis on human intelligence," he said, "because we've got the people".

For these equations, as with KPZ, the main challenge is that, at very small scales, the behavior of the solutions is very rough and irregular.

The American mathematician Stephen Smale, continuing to develop Poincaré's insights on qualitative properties of differential equations, proved that in some cases the behaviour of the solutions is effectively random.

Comparing the solutions is instructive: similarities outweigh differences.

The uniqueness of the solutions is proved.

Stability of the solutions is studied.

Liapounov stability of the solutions is then studied.

An application of the solutions is also presented.