Sentence examples for manifold and it from inspiring English sources

Its potential applications in human geography are manifold, and it is an excellent tool for use in projects seeking to understand shared and divergent points of view, a cornerstone for critical human geography, humanist geography, environmental perception, feminist geography, political ecology, and a host of other subdisciplinary approaches.

It is a form of Riemannian geometry in which space and time are linked in a four-dimensional manifold, and it is the curvature at each point that is responsible for the gravitational "force" at that point.

In general, this set S defines a differentiable manifold referred to as the critical manifold, and it forms the phase space of the reduced problem (6).

Public engagement's faces are manifold, and it differs according to many variables including but not limited to the context it is applied in, scope, topic, sector, who is engaged when, what is their role and what is the aimed for outcome.

We compute the critical manifold for this situation and study the associated slow flow to explain this phenomenon; we find that the saddle equilibrium point lies in the middle of a saddle-unstable sheet of the critical manifold, and it is an attractor with respect to the slow flow on the critical manifold.

It is well known that this notion extends the concept of the principal direction of a hypersurface of a Riemannian manifold to submanifolds of a Riemannian manifold and it was preferred by Casorati over the traditional Gauss curvature because corresponds better with the common intuition of curvature [26] (see also [27 30] for the geometrical meaning and the importance of the Casorati curvatures).

The DEMO vacuum vessel, a massive water cooled double-walled steel vessel, is located behind breeding blankets and manifolds and it will be subjected to an intense neutron and photon irradiation.

Almost contact manifolds with Killing structure tensors were defined in [1] as nearly cosymplectic manifolds, and it was shown that the normal nearly cosymplectic manifolds are cosymplectic (see also [2]).

"The Plot Against America" dramatizes the American character as vast, manifold, and inchoate; it can use its prodigious and uninhibited energy for good or for evil, and it shifts under the sudden force of unforeseeable events.

The mesh is generated in the manifold and then it is projected down to the physical region to provide the adaptive grid.

This critical value is the unique one for which the attracting and repelling slow manifolds coincide, and it is given, for example, in [27].