In this paper, we calculate the relativistic bulk tensor and shear tensor of the relativistic accretion ows in the Kerr metric, overall and without any approximation. We obtain the relations of all components of the relativistic bulk and shear tensor in terms of components of four-velocity and its derivatives, Christoffel symbols and metric components in the BLF. Then, these components are deri...

Search for the Rare Decay KL ! 0e e A. Alavi-Harati, T. Alexopoulos, M. Arenton, R. F. Barbosa, A. R. Barker,* M. Barrio, L. Bellantoni, A. Bellavance, E. Blucher, G. J. Bock, C. Bown, S. Bright, E. Cheu, R. Coleman, M. D. Corcoran, B. Cox, A. R. Erwin, C. O. Escobar, R. Ford, A. Glazov, A. Golossanov, R. A. Gomes, P. Gouffon, J. Graham, J. Hamm, K. Hanagaki, Y. B. Hsiung, H. Huang, V. Jejer, D...

Abs trac t. We develop a new computa tional meth od for modeling and inverting fre­ qu ency domain airborne electromag ne tic (EM) data. Our method is based on the con­ traction integral equa tion meth od for forward EM modeling and on inversion using the localized quasi-linear (LQL) approximation followed by the rigorous inversion, if necessary. The LQL inversion serves to provide a fast image...

Synopsis The human apocrine glands and associated s tructures a re scent organs, jus t as are simila r complexes in many other orders of mammals. The units of the axillary organ s a re precisely equivalent to, for example, those of the oral glands of ground squirrels or the chin glands of rabbits. The rabbit glands are androgen-dependent; clinica! and other evidence suggests that this is equa l...

Polynomial Systems, or at least their algorithms, have the reputation of being doubly-exponential in the number of variables [Mayr and Mayer, 1982], [Davenport and Heintz, 1988]. Nevertheless, the Be-zout bound tells us that that number of zeros of a zero-dimensional system is singly-exponential in the number of variables. How should this contradiction be reconciled? We first note that [Mayr an...

The use of lattice gas (cellular automaton) models has recently been advocated as an interesting method for the simulat ion of fluid flow . Th ese automata are an idealizat ion of the real microscopic molecula r dynamics. We present a model derived from the hexagonal lat t ice gas ru les of Frisch Hasslacher and Pomea u (FHP) that incorporates buoyant forces and d iscusses its prope rt ies. We ...

Abstract A Generalized (2+1)-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada equation (2D- gCDGKSE) is an integro-differential that describes tow-layer fluid interaction. The non-autonomous gCDGKSE (NAUT-gCDGKSE) was rarely considered in the literature. In previous works, concepts of two-layer interaction and non-uniform were not explored. This motivated us to focus attention on these themes. Our...

In this paper, a new approach to determine the numerical solution of two-dimensional fuzzy Fredholm integral equation of the second kind (2DFFIE2) is proposed. This method is based on the fuzzy bivariate Bernstein polynomials. By using fuzzy bivariate Bernstein polynomials, a 2DFFIE2 can be transformed to a dual fuzzy linear system. The error estimate of this method is presented in terms of the...

This paper was motivated by the observation that after quickly finding a number of hierarchies (mKdV, Sawada-Kotera, Kaup-Kuperschmidt) soon after finding that KdV was integrable, nothing more was found for polynomial scalar evolution equations linear in the highest order derivative. In this paper we prove that under some mild conditions on the equations one can put a uniform bound on the order...