Let A = { a 1 , … m } ? N be measurable functions on space ( X ) . If ? is positive measure such that ? i d < ? for all then the sequence called truncated moment sequence. By Richter's Theorem each has k -atomic representing with ? The set S of sequences cone. aim this paper to analyze various structures main results concern facial structure (exposed faces, dimensions) and lower upper bounds Ca...

Numerical simulations of hydrated proteins show that protein hydration shells are polarized into a ferroelectric layer with large values of the average dipole moment magnitude and the dipole moment variance. The emergence of the new polarized mesophase dramatically alters the statistics of electrostatic fluctuations at the protein-water interface. The linear response relation between the averag...

We consider the best entropic estimation to a unknown density x, given some of its algebraic or trigonometric moments. A uniform convergence theorem is established in this paper for such problems using Fermi-Dirac type entropic objectives .

enzymes catalyze many biological reactions. the rates of chemical reaction in the presence ofenzymes are, in some cases, accelerated more than 10 orders of magnitude relative to thecorresponding rates in solution.in this paper a comparison between optimized structures of two enzyme molecules in aspect ofenergy and dipole moment in different conditions including presence of metallic ion, without...

the present paper deals with the prediction of three-dimensional fluid flow and heat transfer in rib-roughened ducts of square cross-section. such flows are of direct relevance to the internal cooling system of modern gas turbine blades. the main objective is to assess how a recently developed variant of a cubic non-linear model (proposed by craft et al. (1999)), that has been shown to produce ...

The thermal conductivity of superconducting MgB 2 was studied in both the superconducting and normal state region. The latter is almost equally determined by the electronic-and the lattice thermal conductivity. In the superconducting state, however, the lattice thermal conductivity is larger. The electronic thermal conductivity below T c was derived from the experimental data considering the Ba...

We explore the derivation of interatomic exchange interactions in ferromagnets within density-functional theory (DFT) and the mapping of DFT results onto a spin Hamiltonian. We delve into the problem of systems comprising atoms with strong spontaneous moments together with atoms with weak induced moments. All moments are considered as degrees of freedom, with the strong moments thermally fluctu...