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The cubic shape of the critical manifold provides a mechanism for spike generation and relaxation oscillations.
The Grassmann manifold provides a robust framework for measuring data similarity in a subspace context.
This conceptual manifold provides a unified and intuitive representation of the view space and supports efficient dynamic view estimation.
The important findings of this work are summarized below: The Grassmann manifold provides a platform to reduce the subspace-to-subspace matching problem to a point-to-point matching model.
As such a manifold provides the relative potentials to all possible hosts available for selection, we construct a phase-dependent dynamic decision-making mechanism in a form of a self-adaptive conditional probabilistic model.
The particular choice of the I&I design parameters in the present example, including the unconventional definition of coordinates on the invariant manifold, provides an interesting re-interpretation of the IDA-PBC control law from the I&I perspective.
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We conclude that (64) has a stable invariant manifold provided that (H1 - H6) and (16 - 19 16 - 19
Based on this model we design a novel manifold providing uniform fluid distribution.
Condition combines flux functions and curved boundary manifold, providing necessary condition for the convex property of the new flux function which will be constructed in formula (4.5).
for any vector field X on M ¯, where the indices are taken from { 1, 2, 3 } modulo 3. We remark that any quaternionic Kähler manifold is an Einstein manifold, provided that dim M > 4 (see [32 34]).
We note that for each manifold provided by Theorem 5.2, determining the (N^2 -dimensional coN^2 -dimensional connected of identitymorphism group explicomponentnof hard (see, e.g., [41], p. 31).
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