This paper describes a new, powerful technique of fingerprint verification based on a perturbation method. The proposed method consists of four parts. The first part performs local FFT band-pass filtering to enhance the cyclic ridge structure in respective local areas. The second part is optimal block-wise shift for preliminary matching. Then, the third part is application of GAT correlation to...

We apply improved Taylor expansion method which is one of the variational schemes to Ising model in two-dimensions. It enables us to evaluate free energy and magnetization at strong coupling regions from weak coupling expansion even in the presence of the phase transition. We determine approximated transition point in this scheme. In the presence of external magnetic field we can see not only s...

The renormalization constants present in the lattice evaluation of the topolog-ical susceptibility can be non-perturbatively calculated by using the so-called heating method. We test this method for the O(3) non-linear σ-model in two dimensions. We work in a regime where perturbative calculations are exact and useful to check the values obtained from the heating method. The result of the test i...

The perturbation method is applied to numerical solution of the Lane-Emden Equation (LEE)of arbitrary index n, and the global parameters of polytropes are found as function of polytropic index n.

The reductive perturbation technique is used to obtain the Modified KP equation at critical densities distinguished by MKPE in plasma ion pair with fast electron positron. new structures reveal that super-solitary and period waveforms are derived via mathematical analysis of Jacobi-elliptic function expansions (MJEFE) for MKPE. electrostatic such as super-soliton, cnoidals, shock-like, super-di...

The adaptive perturbation method decomposes a Hamiltonian by the diagonal elements and nondiagonal of Fock state. state are solvable but can contain information about coupling constants. We study harmonic oscillator with interacting potential, [Formula: see text], where text] constants, is position operator. In this study, each perturbed term has an exact solution. demonstrate accurate spectrum...