Sentence examples for in a manifold from inspiring English sources

An expression is derived for the evolution of the error in a manifold approximation.

Humans sin with one another, and their evil is connected together in the "realm of sin" in a manifold way, unrecognizable in the individual.

The vibration signal of roller bearing can be treated as the path graph in a manifold perspective.

The sensors are placed in a manifold test chamber and nitrogen dioxide gas at various concentrations is flowed into the chamber.

Let X and Y be two noncommuting vector fields in an open set Ω in a manifold M equipped with a sub-Riemannian structure.

It is demonstrated that laser-mediated SiC decomposition can result in a manifold of graphene structures depending on the irradiation conditions.

He observed that each geodesic through a point in such a manifold is fully determined by its tangent vector at that point.

There is, however, a subtlety due to the fact that in general a manifold can be seen as many connected sums of the same manifold with spheres.

In general, a manifold is not a linear space, but naturally concepts and techniques from linear spaces to Riemannian manifold can be extended.

Let M be an n-dimensional Riemannian manifold isometrically immersed in a Riemannian manifold M ¯.

These basic aspects were the existence in nature of a manifold of different forms and of continuous change.