Sentence examples for such a manifold from inspiring English sources

Such a manifold is denoted by PQE n.

It is easy to see that such a manifold is of dimension 4m, (mgeq1).

Such a manifold is somewhat arbitrarily defined, as long as the system dynamics are stable on it.

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

A varying local pressure drop for a flow through such a manifold results in an uneven flow distribution through the whole collector.

This in turn suggests that space does not have the structure of a differential manifold, but rather that it only approximates such a manifold on large scales, or at low energies.

To avoid such deficiencies, a manifold learning technique named maximum variance unfolding (MVU) is considered as an alternative.

The concept of compactness from mathematical topology ([33], Chapter 3) states that a set, such as a manifold, can be covered by a finite number of open sets from the N-dimensional space.6 There is no specific structure required for the covering sets, so they can be assumed to be Gaussian, i.e., ellipsoids.

To such a spatial manifold, Cartesian coordinates seemed most naturally adapted, and straight lines could be conveniently accommodated.

Such a product manifold is called a fiber bundle in terms of the topology.

Such a stable manifold is always equivalent to the basin of a uniformly attracting sequence of maps.