Interactions with environment have large impact on the properties of light–harvesting (LH) pigment– protein complexes. Some of these interactions could be modeled by different types of static disorder. Fluctuations of bacteriochlorophyll’s positions in B850 ring from LH2 complex of purple bacteria are investigated in present paper. The nearest neighbour approximation model of the ring is consid...

We study the static pricing problem for a network service provider in a loss system with a tree structure. In the network, multiple classes share a common inbound link and then have dedicated outbound links. The motivation is from a company that sells phone cards and needs to price calls to different destinations. We characterize the optimal static prices in order to maximize the steady-state r...

Interpretation Abstract interpretation is a theory of effective abstraction and/or approximation of discrete mathematical structures as found in the semantics of programming languages, modelling program executions, hence program properties, at various levels of abstraction [3,7,8,10,12].interpretation is a theory of effective abstraction and/or approximation of discrete mathematical structures ...

The influence of static and dynamic torsional disorder on the kinetics of charge transfer (CT) in donorbridge-acceptor (D-B-A) systems has been investigated theoretically using a simple tight-binding model. In such systems, variations of the torsion angle often give rise either to static changes in the magnitude of electronic coupling along the bridge length or to dynamic fluctuations of this q...

In this paper, we apply signal approximation theory to estimate the articulatory trajectory for a nonlinear speech synthesizer. First, we analyze the L2 error bounds of interpolation and LS approximation in the Hilbert space framework. Second, we use two signal approximation techniques, speci cally, cubic spline interpolation and the LS approximation to estimate the trajectory of articulatory p...

In a seminal paper Nagar (1959) obtained …rst and second moment approximations for the k-class of estimators in a general static simultaneous equation model under the assumption that the structural disturbances were i.i.d and normally distributed.Later Mikhail (1972) obtained a higher-order bias approximation for 2SLS under the same assumptions as Nagar while Iglesias and Phillips (2010) obtain...

Fitting data by a bounded complexity linear model is equivalent to low-rank approximation of a matrix constructed from the data. The data matrix being Hankel structured is equivalent to the existence of a linear timeinvariant system that fits the data and the rank constraint is related to a bound on the model complexity. In the special case of fitting by a static model, the data matrix and its ...

Abstract In this work, a generalized framework of the post-quasistatic approximation in higher dimensional non-comoving coordinates is presented. We study evolution adiabatically radiating and dissipative fluid configuration post-quasi-static approximation. An iterative method for describing self-gravitating spheres developed purpose. Dissipation described by free-streaming radiation heat flux....