Sentence examples for manifold is shown from inspiring English sources

This manifold is shown to coincide with the uncontrollable subspace of the linearized system.

The first dimensions of the recovered speech manifold are shown in Figure 2(b).

The existence of such warped products in Kenmotsu manifolds is shown by an example and a characterization.

The groupoid of a manifold with corners is shown to be unique up to equivalence for manifolds with corners of same codimension.

Using the center manifold theorem, it is shown that in the closed-loop system, the system trajectories are regulated to a manifold (called output zeroing manifold) on which the depth tracking error is zero and the equilibrium state is asymptotically stable.

The Brézis-Wainger inequality on a compact Riemannian manifold without boundary is shown.

By considering the sweep equation as a vector function defined on a manifold (possibly with boundaries), it is shown that stratification of the various sub-manifolds yields varieties that can be depicted in R3.

By using the center manifold theorem and bifurcation theory, it is shown that the model undergoes flip and Neimark Sacker bifurcation.

Also the dynamic behaviors of the system are investigated, by using normal form theory, center manifold theorem and bifurcation theory, it is shown that the system undergoes a Neimark Sacker bifurcation and a flip bifurcation, on varying step-size in some range.

The array-manifold can be shown as: a = q 1 e h q 2 b (4).

The array-manifold can be shown as: a = q 1 e h q 2 b (4) where b is one of {h x, h y, h z } corresponding to the different cases.  .