Sentence examples for manifold is computed from inspiring English sources

In this case, a 2D rectangular manifold is computed, and the amount of variance explained by it is reported.

Double-centering and network smoothing with retaining only 5%% of smallest eigenvectors was applied at the pre-processing step, and the non-linear principal manifold was computed for dimension reduction.

In both perturbed systems, analogs of the stable and unstable manifolds are computed numerically by using the notion of Lagrangian coherent structures, wherein the stable and unstable manifolds play the role of separating orbits into transit and non-transit orbits.

The compressor is connected to supply manifold, and its downstream pressure is equal to the pressure in supply manifold, which is computed by its downstream cathode flow field.

Under the log-Euclidean metric, the geodesic distance between P and Q on the manifold (Sym_^{d}) is computed by [13] rho(mathbf{P},mathbf{Q}) = |log_{mathbf{P}}(mathbf{Q})| = |log(mathbf{Q}) - log(mathbf{P})|, (4).

For a general system, criticality of a Hopf bifurcation is computed using centre manifold theory to reduce the problem to a two-dimensional system, valid near the Hopf bifurcation, and then doing calculations on the model restricted to this two-dimensional centre manifold.

For example, the Euler characteristic of a manifold can be computed by suitably integrating the curvature form over the whole manifold.

In this investigation, planar and three-dimensional resonant orbits are analyzed and cataloged in the Earth Moon system and the associated invariant manifold structures are computed and visualized with the aid of higher-dimensional Poincaré maps.

Submanifolds of the unstable manifold (W^{u}(S^{s}_{varepsilon })) can be computed with the same setup after reversing time.

The attracting slow manifold (S^{a}_{varepsilon }) of system (32) can be computed with the generalized setup for computing attracting and repelling slow manifolds that was introduced in Sect.

It can be computed as a linear combination of its neighboring features in the manifold M c.