Sentence examples for application of the manifold from inspiring English sources

With the application of the manifold filter (with threshold 20), the algorithm detected 224 222 Purkinje cells in the whole cerebellum image (Fig. 6).

The procedure illustrated makes it possible to elude the computational burden related to the application of the center manifold reduction.

This is followed by an investigation of local behavior near instabilities by an application of the center manifold theorem.

Coupling of the riser dynamics with the flow of the surrounding fluid is achieved by attaching a wake oscillator to a reduced model of the structure, which is obtained through the application of the invariant manifold technique for the derivation of nonlinear normal modes.

Global properties of the dynamical system given in equation (4) can be established via the application of the Stable Manifold Theorem (see Hartman ([9]) and Guckenheimer and Holmes ([8]) for more details).

This technique, based on the method of multiple time scales, can be used to deal with general n -dimensional systems without the application of center manifold theory.

With regard to physical applications of these manifolds, one may realize that space time around a massive star or a black hole can be modeled on a warped product manifolds for instance and warped product manifolds are widely used in differential geometry, Physics and as well as in different branches of Engineering.

This work studies also the possible application of manifold dynamics to defining suitable, convenient end-of-life strategies for spacecraft orbiting the Earth.

The usage of the proposed sliding manifold makes the application of the equivalent control method to the considered problem possible, and it is proven that the state trajectories reach the newly designed sliding manifold in finite time even under the effect of four realistically modeled disturbance components and parametric uncertainty of all inertia matrix entries.

Other applications of the TRY are manifold that include energy studies for solar systems and photovoltaic architecture.

The applications of the system are manifold: they can be used in international policing and crime solving, such as this work in trying to uncover human trafficking; in medical research; and to help organize and parse paleontological research.