Results 241 to 250 of about 326,138 (281)

Critical metric equation on $$\alpha$$-cosymplectic manifold

The Journal of Analysis, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kanak Kanti Baishya, Manoj Ray Bakshi
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Critical Point Equation on Almost Kenmotsu Manifolds

Ukrainian Mathematical Journal, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
De, U. C., Mandal, K.
openaire   +2 more sources

Manifold unwrapping using critical surfaces

2015 IEEE 25th International Workshop on Machine Learning for Signal Processing (MLSP), 2015
Natural high dimensional data distributions often exhibit clear low-dimensional underlying structures, sometimes referred to as the underlying manifold. In general such underlying low-dimensional surfaces may have complicated shapes and may have to be defined locally at best.
Matineh Shaker   +2 more
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Nondegenerate Critical Manifolds

1989
After recalling some preliminary notions from differential geometry, this chapter presents the local and global aspects of the theory of nondegenerate critical manifolds. These manifolds are a natural extension of the notion of non-degenerate critical point.
Jean Mawhin, Michel Willem
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Local Stochastic Invariant Manifolds: Preparation to Critical Manifolds

2014
In this chapter we present a local theory of stochastic invariant manifolds associated with the global theory described in Chap. 4. The ideas are standard but the precise framework is detailed here again in view of the main results regarding the approximation formulas of stochastic critical manifolds (Chap. 6) and the related pullback characterizations
MickaĆ«l D. Chekroun   +2 more
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Phase rule for critical coexistence manifolds

Physics Letters A, 1984
Abstract In high-dimensional phase diagrams there appear variations of singular manifolds other than coexistence and critical manifolds, e.g. the critical endpoint. The general singular manifold can be taken as a manifold on which p phases coexist and each phase of the order O j , whereas O j = 1 for an ordinary phase.
Kenkichi Okada   +2 more
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Critical Manifolds in Polycrystalline Grain Structures

Materials Science Forum, 2004
With the development of new, fully three-dimensional metallographic techniques, there is considerable interest in characterizing three-dimensional microstructures in ways that go beyond twodimensional stereology. One characteristic of grain structures is the surface of lowest energy across the microstructure, termed the critical manifold (CM). When the
Elizabeth A. Holm   +3 more
openaire   +1 more source

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