Sentence examples for manifold described from inspiring English sources

States are clusters forming a discretisation of the speech manifold described in Section 3. We use the bisecting -means algorithm to cluster the parameterised data into states.

It was manifold described that the efficacy of platinum compounds in ovarian cancer is influenced by many factors including decreased accumulation or enhanced detoxification [ 27, 28].

It is observed that the unsteady flame trajectories move closely along a 2D manifold describing the set of steady diffusion flames in composition space.

Recently, Principal Components Analysis (PCA) has shown promise in its ability to identify a low-dimensional manifold describing the reacting system.

To explore the energy landscape in the vicinity of the native structure, the nonlinear manifold describing the relative orientation of two solid bodies is projected onto a Euclidean space in which the shape of low energy regions is studied by principal component analysis.

The chemical stability of the vanadomolybdophosphoric acid method for phosphate determination in a microfluidic manifold is described.

In this paper, a new FTC strategy of the diesel engine air path subject to intake manifold leakage described by Takagi-Sugeno model is presented.

If S is not an arbitrary (structureless) set, but a numerical manifold as described by Klein, it inherits structure from the real number field, which contributes to characterize the different subgroups of GS  and their invariants.

The second fundamental form for the boundary of a compact Riemannian manifold is described by a short time behavior for the gradient of Neumann semigroups.

But a Lie group is also a smooth manifold, as described in the supplement A Modern Formulation of Riemann's Theory: the set G can be represented patchwise by systems of real-valued (or alternatively complex-valued) coordinates, mutually linked by well-defined, differentiable coordinate transformations wherever their respective patches overlap.

The main problem with such a proposal is that it ties a robust, intuitive theological doctrine down to an extremely precise technical feature of Lorentzian manifolds (as described by differential geometry).