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The vibration signal of roller bearing can be treated as the path graph in a manifold perspective.
Additionally, from the manifold perspective, the intrinsic structure of the data space is only constrained by a local neighborhood and data relationships with far-distance usually can be ignored.
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To this end, a specification should be thoroughly verified in manifold perspectives such as grammar/syntax conformance, design compliance, and canonical semantics accordance.
While appreciating the value of manifold perspectives in complex and controversial issues, the role of foresight is understood "as a space for dialogue and exploration in contested territory, focusing on consensus and conflicts".
The dynamics analyzed in the present paper is related to that studied by J. Marsden et al. under the perspective of Lyapunov orbits and the associated invariant manifolds.
Through the perspective of dynamical system theory, distant periodic orbits' invariant manifolds can be exploited to design novel low-energy trajectories in the Earth Moon framework.
Finally, perspectives for the use of probiotic-primed DCs are manifold.
Manifold different disciplines and stakeholders are involved, with different levels of abstraction and perspectives and different schools of thinking, concepts, methods, and data.
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.
"Just like Einstein had to change your complete perspective in order to really understand time, saying it's part of the whole space-time manifold.
The problems are manifold.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com