An admissible Poisson algebra (or briefly, an adm-Poisson algebra) gives equivalent presentation with only one operation for a algebra. We establish bialgebra theory algebras independently and systematically, including but beyond the corresponding results on bialgebras given in [27]. Explicitly, we introduce notion of which are to Manin triples as well bialgebras. The direct correspondence betw...

Consider the character of an irreducible admissible representation of a p-adic reductive group. The Harish-Chandra-Howe local expansion expresses this character near a semisimple element as a linear combination of Fourier transforms of nilpotent orbital integrals. Under mild hypotheses, we describe an explicit region on which the local character expansion is valid. We assume neither that the gr...

We establish some second order necessary conditions for optimal control problems of evolution equations involving final point equality and inequality constraints. Compared with the existing works, main difference is due to presence end-point With such constraints, we cannot simply use variational techniques since perturbations a given may be no longer admissible. also Ekeland’s principle, which...

Launched in August 2005, the Mars Reconnaissance Orbiter (MRO)’s primary goal is to obtain detailed morphologic information on the Martian surface using its onboard HiRISE sensor with a 0.3-meter ground resolution. However, inconsistencies between HiRISE stereo images must be removed based on the rigorous sensor model for the best level of accuracy. The new rigorous sensor model is developed sp...

Vibrational wavenumber assignments and geometrical parameters of single layer graphene (SLG) were investigated using density functional theory (DFT) with the basis set of 6-31G (d,p). The scaled vibrational assignments are found to be in good agreement with experimental values. The excitation energy, oscillator strength and wavelength were calculated using time dependent density functional theo...

We introduce methods for identifying operator preconditions that need not be expanded further. The methods are proved to be admissible , that is, they will not cause a solution to be missed when one exists. In certain cases, the methods also identify operator reformulations that increase the number of nonexpandable preconditions. This approach provides effective loop control in common situation...

We consider a superconducting state with a mixed symmetry order parameter components, e.g. d + is or d + id ′ with d ′ = dxy. We argue for the existence of the new orbital magnetization mode which corresponds to the oscillations of relative phase φ between two components around an equilibrium value of φ = π 2. It is similar to the so called " clapping " mode in superfluid 3 He − A. We estimate ...

Over the past decade a number of results concerning the relationship between causality and various energy concepts such as losslessness, passivity, and stability have been obtained [l][4] for linear networks. For nonlinear networks, however, no analogous results have been established except for the case of weakly additive networks [S], [6], wherein the linear theory holds without modification.’...

It is becoming widely recognized that, contrary to earlier expectations, the usual one-band Hubbard model does not give an explanation for itinerant ferromagnetism. After reviewing the status of magnetic ordering in the one-band model, we discuss the possibility of ferromagnetism in some recently introduced two-band Hubbard models, and in generalized Ander-son lattices. It is argued that these ...