Extreme value and Haar series estimates of point process boundaries

We present a new method for estimating the edge of a two-dimensional bounded set, given a finite random set of points drawn from the interior. The estimator is based both on Haar series and extreme values of the point process. We give conditions for various kind of convergence and we obtain remarkably different possible limit distributions. We propose a method of reducing the negative bias, illustrated by a simulation

Simple but Stronger UO, Double but Weaker UNMe Bonds: The Tale Told by Cp2UO and Cp2UNR

The free energies of reaction and the activation energies are calculated, with DFT (B3PW91) and small RECP (relativistic core potential) for uranium, for the reaction of Cp2UNMe and Cp2UO with MeCCMe and H3Si-Cl that yields the corresponding addition products. CAS(2,7) and DFT calculations on Cp2UO and Cp2UNMe give similar results, which validates the use of DFT calculations in these cases. The calculated results mirror the experimental reaction of [1,2,4-(CMe3)3C5H2]2UNMe with dimethylacetylene and [1,2,4-(CMe3)3C5H2]2UO with Me3SiCl. The net reactions are controlled by the change in free energy between the products and reactants, not by the activation energies, and therefore by the nature of the UO and UNMe bonds in the initial and final states. A NBO analysis indicates that the U-O interaction in Cp2UO is composed of a single U-O bond with three lone pairs of electrons localized on oxygen, leading to a polarized U-O fragment. In contrast, the U-NMe interaction in Cp2UNMe is composed of a and component and a lone pairof electrons localized on the nitrogen, resulting in a less polarized UNMe fragment, in accord with the lower electronegativity of NMe relative to O. The strongly polarized U(+)-O(-) bond is calculated to be about 70 kcal mol-1 stronger than the less polarized U=NMe bond

DISCRETIZATIONS OF CONVECTION TERMS IN HYBRID MIMETIC MIXED METHODS

We present different ways, coming from Finite Volume or Mixed Finite Element frameworks, to discretize convection terms in Hybrid Finite Volume, Mimetic Finite Difference and Mixed Finite Volume methods for elliptic equations. We compare them through several numerical tests, and we present an application to a system modeling miscible flows in porous media

Influence du dopage du CdS sur la stabilite de la cellule Cu /SUB 2/S-CdS <spray>

SIGLECNRS-CDST / INIST-CNRS - Institut de l'Information Scientifique et TechniqueFRFranc

2Laboratoire Charles Coulomb

I show here that due to the fact that time has a logarithmic increase as a function of the radius of curvature of our threedimensional universe, the rate of expansion of the universe is accelerating. The instantaneous pressure within this universe is negative (as predicted by the literature) because black holes lead to a leak of matter and light from our universe. Though, the total energy of the universe is increasing. The transition from a still fourdimensional universe with no physical laws to our threedimensional curved universe is due to Heisenberg’s uncertainty principle

The Continuum Version of ...-theory in Light-Front Quantization

A genuine continuum treatment of the massive # 4 1+1 -theory in light-cone quantization is proposed. Fields are treated as operator valued distributions thereby leading to a mathematically well defined handling of ultraviolet and light cone induced infrared divergences and of their renormalization. Although non-perturbative the continuum light cone approach is no more complex than usual perturbation theory in lowest order. Relative to discretized light cone quantization, the critical coupling increases by 30% to a value r = 1.5. Conventional perturbation theory at the corresponding order yields r1 = 1, whereas the RG improved fourth order result is r4 = 1.8 ± 0.05. PM 97/18, June 1997 PACS : 11.10.Ef, 11.10.St, 11.30.Rd 1 Introduction The discretized light front quantization (DLCQ) [1] has played an important role in clarifying infrared aspects of the theory which are decisive for the appearance of the vacuum sector field, the LC-counterpart of the nontrivial ground state of ET-qu..