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Search results for: COHOMOLOGY RING
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Computation of cubical homology, cohomology, and (co)homological operations via chain contraction
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Ming Qing Yanjiu
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The RING
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The relative cup-length in local Morse cohomology
PublicationLocal Morse cohomology associates cohomology groups to isolating neighborhoods of gradient flows of Morse functions on (generally non-compact) Riemannian manifolds M. We show that local Morse cohomology is a module over the cohomology of the isolating neighborhood, which allows us to define a cup-length relative to the cohomology of the isolating neighborhood that gives a lower bound on the number of critical points of functions...
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Morse cohomology in a Hilbert space via the Conley index
PublicationThe main theorem of this paper states that Morse cohomology groups in a Hilbert space are isomorphic to the cohomological Conley index. It is also shown that calculating the cohomological Conley index does not require finite-dimensional approximations of the vector field. Further directions are discussed.
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Tree-Ring Research
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Ring thruster with magnetic bearings
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Gravitation & Cosmology
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The reliability of ring, star and hybrid networks
PublicationJednym z parametrów charakteryzującym jakość sieci jest jej niezawodność. Rozważono sieci o topologiach drzewiastych, gwiaździstych, pętlowych, wielo-pętlowych oraz mieszanych. Przyjęto następujący model uszkodzeń. Węzły oraz kanały sieci ulegają uszkodzeniom z określonym prawdopodobieństwem, uszkodzenia elementów sieci są od siebie statystycznie niezależne. Jako oceny niezawodności sieci przyjęto: średnią liczbę sprawnych par...
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Ring thruster - a preliminary optimisation study
PublicationThe ring thruster is a new type of propeller, for which there is no experimental data to verify analytical design calculations. A significant feature of the ring thruster is the absence of a shaft. Propeller blades are mounted to the ring rotating inside the housing, which has the shape of a nozzle. For this reason the ring thruster is closest, with respect to both the construction and principle of operation, to the Kort nozzle...