This paper develops a deterministic and a stochastic population size model based on power-law kinetics for the black-margined pecan aphid. The deterministic model in current use incorporates cumulative-size dependency, but its solution is symmetric. The analogous stochastic model incorporates the prolific reproductive capacity of the aphid. These models are generalized in this paper to include ...

Modeling communication channels as thermal systems results in Hamiltonians which are an explicit function of the temperature. The first two authors have recently generalized the second thermodynamic law to encompass systems with temperature-dependent energy levels, dQ = TdS+ < dE/dT > dT , where < · > denotes averaging over the Boltzmann distribution, recomputing the mutual information and othe...

In this paper, the general solution of steady-state two-dimensional non-axisymmetric mechanical and thermal stresses and mechanical displacements of a hollow thick cylinder made of fluid-saturated functionally graded porous material (FGPM) is presented. The general form of thermal and mechanical boundary conditions is considered on the inside and outside surfaces. A direct method is used to sol...

The problem of base changes for the classical symmetric functions has been solved a long time ago and has been incorporated into most computer software packages for symmetric functions. In this paper, we develop a simple recursive formula for the expansion of the augmented monomial symmetric functions into power sum symmetric functions. As corollaries, we present two algorithms that can be used...

Reaction behaviors and kinetics of catalytic oxidation of toluene with different feed flows over Pt/Zr(x)-HMS catalysts with Si/Zr ratio equal to 5, 10, 20 and 35 were investigated over a wide temperature range (200 – 500 oC). Results show that Pt/Zr(x)-HMS performs more easily toluene oxidation. The kinetic data were fitted by the Power-law and Mars–van Krevelen kinetic models. The fitting res...

We study systematically stationary solutions to the coupled Vlasov and Poisson equations which have 'self-similar' or scaling symmetry in phase space. In particular, we find analytically all spherically symmetric distribution functions where the mass density and gravitational potential are strict power laws in r, the distance from the symmetry point. We treat as special cases, systems built fro...

For a compact Riemannian manifold, Weyl’s law describes the asymptotic behavior of the counting function of the eigenvalues of the associated Laplace operator. In this paper we discuss Weyl’s law in the context of automorphic forms. The underlying manifolds are locally symmetric spaces of finite volume. In the non-compact case Weyl’s law is closely related to the problem of existence of cusp fo...

The mass-loss rates from single massive stars are high enough to form radio photospheres at large distances the stellar surface where wind is optically thick (thermal) free-free opacity. Here we calculate far-infrared, millimeter, and band spectral energy distributions (SEDs) that can result combination of processes synchrotron emission, explore conditions for non-thermal SEDs. Simplifying assu...