Results 51 to 60 of about 146,129 (230)
Steve Smale and Geometric Mechanics [PDF]
, 1993 Thus, one can say-perhaps with only a slight danger of oversimplification- that reduction theory synthesises the work of Smale, Arnold (and their predecesors of course) into a bundle, with Smale as the base and Arnold as the fiber.
Marsden, Jerrold E.
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Development of Optical Fiber-Based Daylighting System and Its Comparison
Energies, 2015 Fiber-optic daylighting systems have been shown to be a promising and effective way to transmit sunlight in the interior space whilst reducing electric lighting energy consumption.
Irfan Ullah, Allen Jong-Woei Whang
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Dynamic critical behavior of failure and plastic deformation in the random fiber bundle model
, 2002 The random fiber bundle (RFB) model, with the strength of the fibers distributed uniformly within a finite interval, is studied under the assumption of global load sharing among all unbroken fibers of the bundle. At any fixed value of the applied stress (
A. Hansen +14 more
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About the torsion tensor of an affine connection on two-dimensional and three-dimensional manifolds
Дифференциальная геометрия многообразий фигур, 2021 The basis for this study of affine connections in linear frame bundle over a smooth manifold is the structure equations of the bundle. An affine connection is given in this bundle by the Laptev — Lumiste method. The differential equations are written for
K.V. Polyakova
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Principal Co-Fiber Bundles [PDF]
Transactions of the American Mathematical Society, 1976 Principal co-fiber bundles are defined in the category of topological groups. They are Eckmann-Hilton duals of principal fiber bundles. A classification theorem is provided as well as an example which almost represents the most general case.
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Stress theory for classical fields
, 2017 Classical field theories together with the Lagrangian and Eulerian approaches to continuum mechanics are embraced under a geometric setting of a fiber bundle.
Kupferman, Raz +2 more
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Journal of Natural Fibers, 2018 The mechanical properties of kenaf phloem bundle fibers are valuable for reinforced composites or boards, more so than similar materials also used in textile or papermaking applications.
Zhou Cheng +6 more
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Scaling in the time-dependent failure of a fiber bundle with local load sharing
, 1998 We study the scaling behaviors of a time-dependent fiber-bundle model with local load sharing. Upon approaching the complete failure of the bundle, the breaking rate of fibers diverges according to $r(t)\propto (T_f-t)^{-\xi}$, where $T_f$ is the ...
A. Hansen +16 more
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Дифференциальная геометрия многообразий фигур, 2020 The hypercentered planes family, whose dimension coincides with dimension of generating plane, is considered in the projective space. Two principal fiber bundles arise over it.
A.V. Vyalova
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Holomorphic fiber bundles with hyperbolic fiber [PDF]
Proceedings of the American Mathematical Society, 1974 The purpose of the present note is to show that holomorphic fiber bundles with hyperbolic fiber are almost trivial: They are trivial if the base is simply connected, and have a simple structure otherwise.
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