Results 21 to 30 of about 152 (152)
Cohomologically symplectic solvmanifolds are symplectic [PDF]
Journal of Symplectic Geometry, 2011 We consider aspherical manifolds with torsion-free virtually polycyclic fundamental groups, constructed by Baues. We prove that if those manifolds are cohomologically symplectic then they are symplectic. As a corollary we show that cohomologically symplectic solvmanifolds are symplectic.
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Dynamics of symplectic subvolumes [PDF]
2007 46th IEEE Conference on Decision and Control, 2007 In this paper we will explore fundamental constraints on the evolution of certain symplectic subvolumes possessed by any Hamiltonian phase space. This research has direct application to optimal control and control of conservative mechanical systems. We relate geometric invariants of symplectic topology to computations that can easily be carried out ...
Jared M. Maruskin +2 more
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Eigenvalues of the Transferences of Gaussian Optical Systems
African Vision and Eye Health, 2005 The problem of how to define an average eye leads to the question of what eigenvalues are possible for ray transferences. This paper examines the set of possible eigenvalues in the simplest possible case, that of optical systems consisting ...
W.F. Harris
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The metric geometric mean transference and the problem of the average eye
African Vision and Eye Health, 2008 An average refractive error is readily obtained as an arithmetic average of refractive errors. But how does one characterize the first-order optical character of an average eye?
W. F. Harris
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Temperature Error Reduction of DPD Fluid by Using Partitioned Runge-Kutta Time Integration Scheme
Fluids, 2019 This study puts emphasis on reducing the temperature error of dissipative particle dynamics (DPD) fluid by directly applying a minimal-stage third-order partitioned Runge-Kutta (PRK3) method to the time integration, which does not include any of ...
Toru Yamada +3 more
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The Anatomical Record, EarlyView.Abstract The ray‐finned fishes include one out of every two species of living vertebrates on Earth and have an abundant fossil record stretching 380 million years into the past. The division of systematic knowledge of ray‐finned fishes between paleontologists working on extinct animals and neontologists studying extant species has obscured the ...
Jack Stack
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Physical Review Special Topics. Accelerators and Beams, 2012 Transfer maps for magnetic components are fundamental to studies of beam dynamics in accelerators. In the work presented here, transfer maps are computed in Taylor form for a particle moving through any specified magnetostatic field by applying an ...
Y. Giboudot, A. Wolski
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African Vision and Eye Health, 2010 For a dioptric system with elements which may be heterocentric and astigmatic an optical axis has been defined to be a straight line along which a ray both enters and emerges from the system.
W. F. Harris
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The Anatomical Record, EarlyView.Abstract Fishes of the genus Enchodus were abundant and cosmopolitan in the Late Cretaceous, but are primarily known from isolated remains in Canada. Four well‐preserved fish skulls were recovered in recent years from ammolite mines sampling the Bearpaw Formation of Southern Alberta, and are here referred to Enchodus petrosus Cope, 1874.
Luke E. Nelson +2 more
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