An exact steady-state solution of the stochastic equations governing the behavior of a gene regulated by a self-generated proteomic atmosphere is presented. The solutions depend on an adiabaticity parameter measuring the relative rate of DNA-protein unbinding and protein degradation. The steady-state solution reveals deviations from the commonly used Ackers et al approximation based on the equi...

– We derive excess carrier populations in quantum wells, embedded in the intrinsic region of p-i-n solar cells. In the process of the analysis, we (a) solve for photo-generated carriers in quantum wells and (b) determine explicit dependence on incident solar wavelength. We include in the computations the existence of optical gaps near 1eV or wavelengths in the near infrared, so that our complet...

The Quadratic Knapsack Problem (QKP) calls for maximizing a quadratic objective function subject to a knapsack constraint, where all coeecients are assumed to be nonnegative and all variables are binary. The problem has applications in location and hydrology, and generalizes the problem of checking whether a graph contains a clique of a given size. We propose an exact branch-and-bound algorithm...

We investigate cosmological consequences of nonlinear sigma model coupled with a cosmological fluid which satisfies the continuity equation. The target space action is of the de Sitter type and is composed of four scalar fields. The potential which is a function of only one of the scalar fields is also introduced. We perform a general analysis of the ensuing cosmological equations and give vari...

We report on a growing class of assignment problems that are increasingly of interest and very challenging in terms of the difficulty they pose to attempts at exact solution. These problems address economic issues in the location and design of factories, hospitals, depots, transportation hubs and military bases. Others involve improvements in communication network design. In this article we sur...

The p-dispersion-sum problem is the problem of locating p facilities at some of n prede-ned locations, such that the distance sum between the p facilities is maximized. The problem has applications in telecommunication (where it is desirable to disperse the transceivers in order to minimize interference problems), and in location of shops and service-stations (where the mutual competition shoul...

We obtain exact analytic solution for the Green functions and survival probabilities of the reversible, geminate diffusion-influenced reaction A1B↔C1D in Laplace space, and in the time domain for various spatial dimensionalities. The asymptotic behavior ~in one and three dimensions! goes as t, like in the irreversible case, but approach to this limit may occur from either above or below. The im...

We give an exact spherically symmetric solution for the Einstein-scalar field system. The solution may be interpreted as an inhomogeneous dynamical scalar field cosmology. The spacetime has a timelike conformal Killing vector field and is asymptotically conformally flat. It also has black or white hole-like regions containing trapped surfaces. We describe the properties of the apparent horizon ...

In this short letter we present a rigorous vacuum solution of the Einstein’s equation with a few singular surfaces. In contrast with the well known solutions, this solution looks somewhat exotic and strange. The physical meanings of the parameters and coordinates are still absent. PACS numbers: 04.20-q, 04.20.Dw, 04.20.Jb, 04.25-g