Sentence examples for manifold points with from inspiring English sources

A new method of coupling reactions and mixing processes based on manifold points with detailed chemistry is developed.

Investigations are made of three different kinds of methods: the direct numerical integration of the coupled reaction and mixing equations; the direct numerical integration of the equations obtained by using operator-splitting to split reaction and mixing; and the new method solving the split system based on manifold points with detailed chemical kinetics.

It relates the real data in the chemical space with manifold points.

In the tangent space of manifold points on a Riemannian manifold, linear operations may be performed.

The great-circle distance between two manifold points is unique.

By learning BoW features from this Riemannian manifold, we treat each video activity as a temporal sequence of manifold points (BoW features) on another Riemannian manifold.

With a single manifold point, this can work well.

Fig. 2 Left: several branches of the critical manifold, with fold points (F^{pm}) in between.

(a) Since (bar{x}< frac{lambda_{2}-1}{c_{2}}), (E_{0}) is a saddle point with stable manifold lying on the nonnegative x-axis.

On the other hand, (E_{0}) is a saddle point with stable manifold being the nonnegative x-axis by (2.10).

Then the manifold injection point is optimized locally.