We present certain mathematical aspects of an information method which was formulated in an attempt to investigate diffusion phenomena. We imagine a regular dynamical hamiltonian systems under the random perturbation of thermal (molecular) noise and chaotic motion. The random effect is taken into account via the uncertainty of irregular dynamic process produced in this way. This uncertainty due...

The hi-tech development has led great success in both scientific and technical fields. Therefore we can obviously note that data processing takes less execution time and a smaller amount of human efforts. This is the advantage of the automatic line of work which aimed to reduce either physical or intellectual human effort. Furthermore it focused to let the painful and complex tasks to the machi...

This thesis describes mathematical structures of the quantum BRST constraint method. Ultimately, the quantum BRST structures are formulated in a C∗-algebraic context, leading to comparison of the quantum BRST and the Dirac constraint method in a mathematically consistent framework. Rigorous models are constructed for the heuristic examples of BRST for quantum electromagnetism (BRST-QEM) and Ham...

It was recently shown that the Full Service Access Network (FSAN) method for computing the power spectral density (PSD) of the crosstalk noise produced by a mixture of digital subscriber line (DSL) disturbers may be considered a particular case of a general lower bound —obtained using Minkowski’s Inequality—of the sum of the power spectra of the noises generated by the individual interferer cla...

The Markov chain Monte Carlo (MCMC) method exploits the idea that information about a set of combinatorial objects may be obtained by performing an appropriately deened random walk on those objects. In the area of statistical physics, MCMC algorithms have been in use for many years for the purpose of estimating various quantities of physical interest, often expectations of random variables on \...

In this paper, a new method for solving a mathematical programming problem with linearly complementarity constraints (MPLCC) is introduced, which applies the Levenberg-Marquardt (L-M) method to solve the B-stationary condition of original problem. Under the MPEC-LICQ, the proposed method is proved convergent to B-stationary point of MPLCC.

In this article we formulate a numerical method for the simulation of dealloying of a binary alloy by the selective removal of one component via electrochemical dissolution such that there is phase separation of the other component at the solid/electrolyte interface. The evolution of the interface is modelled by a forced mean curvature flow strongly coupled to the solution of a Cahn-Hilliard eq...