Integrability of second-order Lagrangians admitting a first-order Hamiltonian formalism

Second-order Lagrangian densities admitting a first-order Hamiltonian formalism are studied; namely, i) necessary and sufficient conditions for the Poincaré–Cartan form of a second-order Lagrangian on an arbitrary fibred manifold p : E → N to be projectable onto J 1 E are explicitly determined; ii) for each of such Lagrangians, a first-order Hamiltonian formalism is developed and a new notion of regularity is introduced; iii) the variational problems of this class defined by regular Lagrangians areprovedtobeinvolutive

On the origin of the order Artiodactyla.

The first known members of the order Artiodactyla appeared suddenly throughout the Holarctic region at the beginning of the Eocene. They are characterized by distinctive cursorial skeletal specializations. Owing to their abrupt appearance and the lack of transitional forms, the origin of the order is problematic. Descent from a "condylarth," specifically the arctocyonid Chriacus, has been suggested based on dental resemblances, but until now postcranial anatomy seemed to preclude close relationship between Arctocyonidae and Artiodactyla. A middle Paleocene specimen of a small arctocyonid (?Chriacus) reported here is much more similar to the oldest artiodactyl, Diacodexis, in the derived condition of the hindlimb, reviving the possibility that Artiodactyla evolved from an arctocyonid.

An Analysis of U.S. Air Force Policy and Installation CO2 Emissions to Determine Best Practices for the Implementation of Executive Order 13514

United States Air Force (USAF) energy policy is a measured but aggressive response to federal energy policy guidance. Previous USAF efforts, like those of the federal government, focused primarily on energy intensity reduction, cost, and BTU savings, and in certain cases have resulted in facility greenhouse gas (GHG) emission reductions. The USAF now faces the challenge of integrating GHG reduction goals and inventory requirements set forth in Executive Order 13514. Using USAF reported energy consumption data, facility GHG emission estimates have been synthesized to identify trends and elucidate existing energy best practices to be applied as part of overarching USAF GHG mitigation efforts and to highlight areas of possible concern for the integration of EO 13514 into operational USAF policy.

A compact difference scheme for numerical solutions of second order dual-phase-lagging models of microscale heat transfer

Dual-phase-lagging (DPL) models constitute a family of non-Fourier models of heat conduction that allow for the presence of time lags in the heat flux and the temperature gradient. These lags may need to be considered when modeling microscale heat transfer, and thus DPL models have found application in the last years in a wide range of theoretical and technical heat transfer problems. Consequently, analytical solutions and methods for computing numerical approximations have been proposed for particular DPL models in different settings. In this work, a compact difference scheme for second order DPL models is developed, providing higher order precision than a previously proposed method. The scheme is shown to be unconditionally stable and convergent, and its accuracy is illustrated with numerical examples.

Cardipeltis; an early Devonian agnathan of the order Heterostraci / Robert H. Denison.

v.16:no.4(1966)

Die Gestaltung der Globalität. Schlüsselwörter der sozialen Ordnung (II) = The design of the global order: the keywords of social order. ZEI Discussion Paper C215, 2013

No abstract.