The classic formulation of the extended boundary condition method is revisited to inject regularization operators for unknown coefficients eigen-function expansions travelling and standing waves throughout dielectric scatterer. It shown that, using new definitions, existing algorithm scattering field calculation can be kept same its well-conditioned version. This exemplified scalar 2D problems ...

We use a path integral representation to solve the Eigen and Crow-Kimura molecular evolution models for the case of multiple fitness peaks with arbitrary fitness and degradation functions. In the general case, we find that the solution to these molecular evolution models can be written as the optimum of a fitness function, with constraints enforced by Lagrange multipliers and with a term accoun...

In the evolutionary computation research community, the performance of most evolutionary algorithms (EAs) depends strongly on their implemented coordinate system. However, the commonly used coordinate system is fixed and not well suited for different function landscapes, EAs thus might not search efficiently. To overcome this shortcoming, in this paper we propose a framework, named ACoS, to ada...

In this paper, one of the numerical solution method of one- particle, one dimensional timeindependentSchrodinger equation are presented that allows one to obtain accurate bound state eigenvalues and functions for an arbitrary potential energy function V(x).For each case, we draw eigen functions versus the related reduced variable for the correspondingenergies. The paper ended with a comparison ...

For the free vibrations of multi-degree mechanical structures appeared in structural dynamics, we solve quadratic eigenvalue problem either by linearizing it to a generalized or directly treating developing iterative detection methods for real and complex eigenvalues. To problem, impose nonzero exciting vector into eigen-equation, nonhomogeneous linear system obtain response curve, which consis...

Molecular dynamics simulations using a dissociative water potential were applied to study transport of excess protons in water and determine the applicability of this potential to describe such behavior. While originally developed for gas-phase molecules and bulk liquid water, the potential is transferrable to nanoconfinement and interface scenarios. Applied here, it shows proton behavior consi...

mathematics or on quantum mechanics. List of All Articles 16 4.3 General Solution to Wave Equation Mukul Agrawal Noticing that f j t (t) forms an orthonormal set of functions, we get ( ∂ 2 ∂x2 + ∂ 2 ∂y2 + ∂ 2 ∂ z2 ) f j xyz(x,y,z) =−εμ0ωj f j xyz(x,y,z) (15) Hence the space dependent separable part of the eigen function of the operator i ∂ ∂ t , i.e. the f j xyz(x,y,z), should be an eigen funct...

The so-called ”acoustic revival mechanism” of core-collapse supernova proposed recently by the Arizona group is an interesting new possibility. Aiming to understand the elementary processes involved in the mechanism, we have calculated the eigen frequencies and eigen functions for the g-mode oscillations of a non-rotating proto neutron star. The g-modes have relatively small eigen frequencies. ...

In one-class classification (OCC) tasks, only the target class (class-of-interest (CoI)) samples are well defined during training, whereas other totally absent. OCC algorithms, high dimensional data adds computational overhead apart from its intrinsic property of curse dimensionality. For learning, conventional dimensionality reduction (DR) techniques not suitable due to negligence unique stati...

Prediction method for time series of imagery data on eigen space is proposed. Although the conventional prediction method is defined on the real world space and time domains, the proposed method is defined on eigen space. Prediction accuracy of the proposed method is supposed to be superior to the conventional methods. Through experiments with time series of satellite imagery data, validity of ...