Using the semigroup product formula of P. Chernoff, a central limit theorem is derived for products of random matrices. Applications are presented for representations of solutions to linear systems of stochastic differential equations, and to the corresponding partial differential evolution equations. Included is a discussion of stochastic semigroups, and a stochastic version of the Lie-Trotter...

Realistic prediction of concrete shrinkage and creep requires the calculation of the distributions of relative humidity at various times. Although the distributions of the relative humidity can be computed by numerical methods from the differential equation for diffusion, simple prediction formulas can facilitate structural analysis. The purpose of this paper is to present a simple formula for ...

We give two parametrizations of points on Edwards curves that omit the X coordinate. The first parametrization leads to a differential addition formula that has the cost 5M + 4S, a doubling formula that has the cost 5S and a tripling formula that costs 4M+7S. The second one yields a differential addition formula with cost 5M + 2S and a doubling formula with cost 5S both even on generalized Edwa...

Realistic prediction of concrete shrinkage and creep requires the calculation of the distributions of relative humidity at various times. Although the distributions of the relative humidity can be computed by numerical methods from the differential equation for diffusion, simple prediction formulas can facilitate structural analysis. The purpose of this paper is to present a simple formula for ...

the improvement of the physical properties of indium tin oxide (ito) layers is quite advantageous in photovoltaic applications. in this study the ito film is deposited by rf sputtering onto p-type crystalline silicon (c-si) with (100) orientation, multicrystalline silicon (mc-si), and glass substrates coated with zno and annealed in vacuum furnace at 400°c. electrical, optical, structural and m...

Recent reviews of the information technology outsourcing (ITO) literature report high variance in research results when Transaction Cost Economics (TCE) is used as the analytical framework. Informed by ITO market developments, including increasing commoditisation, market consolidation, and market transparency, we develop an explanation for these mixed results contingent on ITO industry maturity...

Keywords: Fractional differential equations Impulsive fractional differential equations Impulse General solution Existence a b s t r a c t In this paper, for impulsive differential equations with fractional-order q 2 ð0; 1Þ, we show that the formula of solutions in cited papers are incorrect. Secondly, we find out a formula of the general solution for impulsive Cauchy problem with Caputo fracti...

Gradients of the fast transient outward K+ current (Ito,f) contribute to heterogeneity of ventricular repolarization in a number of species. Cardiac Ito,f levels and gradients change notably with heart disease. Human cardiac Ito,f appears to be encoded by the Kv4.3 pore-forming α-subunit plus the auxiliary KChIP2 β-subunit while mouse cardiac Ito,f requires Kv4.2 and Kv4.3 α-subunits plus KChIP...

Visibly highly transparent indium tin oxide (ITO)/epoxy nanocomposites were prepared by dispersing polyglycidyl methacrylate (PGMA) grafted ITO nanoparticles into a commercial epoxy resin. The oleic acid stabilized, highly crystalline, and near monodisperse ITO nanoparticles were synthesized via a nonaqueous synthetic route with multigram batch quantities. An azido-phosphate ligand was synthesi...

The concurrent effect of various internal and external factors on IT Outsourcing (ITO) decision making has seldom been investigated in a single study. Furthermore, research on external factors is scarce and there is no comprehensive theory that can fully explain ITO decisions made in practice. This paper explains how key decision factors, both internal and external, influence ITO decision makin...