Sentence examples for manifold to be from inspiring English sources

We design a new curvature based regularizer to enforce the patch manifold to be a low dimension smooth manifold.

Of course, these are compositions too manifold to be reduced to any one interpretation or interpreter, but Serkin fuses his musical character with them and makes them, in a way, his own.

This problem becomes tractable when we strengthen the requirements of the surgered manifold to be one with non-vanishing Heegaard Floer invariants, and we can get necessary and sufficient conditions.

Most of the generalized methods require the sectional curvature of Riemannian manifold to be nonpositive.

In the case where a = d and b = e, we find an explicit equation for the stable manifold to be y = x.

It is worth mentioning that the identity manifold to be learned according to T * will encompass multiple target classes each of which has several sub-classes.

Hence, throughout the paper we will confine ourselves with a semi-Riemannian manifold M of dimension n≥3, and all the manifolds to be considered throughout the paper are assumed to be smooth and connected.

This sort of impasse between process philosophers and philosophers of the manifold seems to be characteristic of the present-day state of philosophy.

Jessica Valenti has noted on The Nation's Web site that potential triggers for trauma are so manifold as to be beyond the possibility of cataloguing: "There is no trigger warning for living your life".

This is equivalent to showing that any locally compact topological group that acts faithfully on a connected 3-manifold has to be a Lie Group.

The geometry of the so-called mirror manifold of a Calabi-Yau manifold turns out to be connected to classical enumerative questions on the original manifold.