General optimization results from physics indicate that maximum efficiency of a process, in the sense of minimum overall entropy production, is achieved when the rate of entropy production is constant over time, however not in ordinary clock time but on an, in general varying, "eigen time" scale, intrinsic to the system. We identify the eigen time of a biological system with "physiological time...

Support vector machine (SVM) is a recent method to classify the data. SVM has been proved as a powerful tool for solving classification problem. The problem with complex dataset incurs significant complexity while classifying and its efficiency also cost very much. We propose a reduced set support vector machine based on Eigen structure, to classify dataset having multiple features. In this pap...

The electron transfer kinetics of mixed-valence systems is studied via solving the eigen-structure of the two-state non-adiabatic diffusion operator for a wide range of electronic coupling constants and energy bias constants. The calculated spectral structure consists of three branches in the eigen-diagram, a real branch corresponding to exponential or multi-exponential decay and two symmetric ...

We prove polynomial and exponential decay at infinity of eigen-vectors of partial differential operators related to radiation problems for time-harmonic generalized Maxwell systems in an exterior domain Ω ⊂ RN , N ≥ 1, with non-smooth inhomogeneous, anisotropic coefficients converging near infinity with a rate r−τ , τ > 1, towards the identity. As a canonical application we show that the corres...

We prove polynomial and exponential decay at infinity of eigen-vectors of partial differential operators related to radiation problems for time-harmonic generalized Maxwell systems in an exterior domain Ω ⊂ R , N 1, with non-smooth inhomogeneous, anisotropic coefficients converging near infinity with a rate r−τ , τ > 1, towards the identity. As a canonical application we show that the correspon...

A method for solving the eigen-problem of a general complex matrix can be constructed by first using a simple double-sided Lanczos algorithm to obtain the eigenvalues and next applying inverse iteration to find the eigenvectors. Even though (strict) convergence is not generally guaranteed, many well-posed physical and chemical problems can be transformed into eigen-problems of non-pathological ...

In this paper we critically analyze the so far performed and proposed tests for measuring the general relativistic Lense-Thirring effect in the gravitational field of the Earth with some of the existing accurately tracked artificial satellites. The impact of the 2nd generation GRACE-only EIGEN-GRACE02S Earth gravity model and of the 1st CHAMP+GRACE+terrestrial gravity combined EIGEN-CG01C Earth...

How to effectively solve the eigen solutions of the nonlinear spinor field equation coupling with some other interaction fields is important to understand the behavior of the elementary particles. In this paper, we derive a simplified form of the eigen equation of the nonlinear spinor, and then propose a scheme to solve their numerical solutions. This simplified equation has elegant and neat st...

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...

We consider the L-state cyclic solid-on-solid lattice models under a class of open boundary conditions. The integrable boundary face weights are obtained by solving the reflection equations. Functional relations for the fused transfer matrices are presented for both periodic and open boundary conditions. The eigenspectra of the unfused transfer matrix is obtained from the functional relations u...