We consider singular perturbed eigenvalue problem for Laplace operator in a cylinder with frequent and nonperiodic alternation of boundary conditions imposed on narrow strips lying in the lateral surface. The width of strips depends on a small parameter in a arbitrary way and may oscillate fast, moreover, the nature of oscillation is arbitrary, too. We obtain two-sided estimates for degree of c...

The aim of this paper is to describe an eecient adaptive strategy for discretizing ill-posed linear operator equations of the rst kind: we consider Tikhonov-Phillips regularization x = (A A + I) ?1 A y with a nite dimensional approximation A n instead of A. We propose a sparse matrix structure which still leads to optimal convergences rates but requires substantially less scalar products for co...

We propose a novel external force for active contours, which we call neighborhood-extending and noise-smoothing gradient vector flow (NNGVF). The proposed NNGVF snake expresses the gradient vector flow (GVF) as a convolution with a neighborhood-extending Laplacian operator augmented by a noise-smoothing mask. We find that the NNGVF snake provides better segmentation than the GVF snake in terms ...

In this paper, we further a previous study concerning convergences and pseudo-convergences of sequences of measurable functions on monotone set multifunction spaces. Various considerations concerning operations and the uniqueness of the limit with respect to such convergences are given and several asymptotic structural properties of certain set multifunctions are, in this way, characterized. Ma...

Abstract In this paper we investigate certain integral operator involving Jacobi–Dunkl functions in a class of generalized functions. We utilize convolution products, approximating identities, and several axioms to allocate the desired spaces The existing theory (Ben Salem Ahmed Ramanujan J. 12(3):359–378, 2006) is extended applied new addressed set Boehmians. Various embeddings characteristics...

SYNOPSIS. Viviparity has evolved many times in many lineages of vertebrates. Many evolutionary scenarios for the evolution of viviparity, or structures associated with it, have been proposed. Many of these are testable using methodologies developed recently. Some structures that facilitate viviparity (e.g., corpora lutea and oviducts) are homologous, for they are inherited from an ancestor in a...

Recently, Paskov reported that the use of a certain pseudo-random number generator, rani(), given in Numerical Recipes in C, First Edition makes Monte Carlo simulations for pricing financial derivatives converge to wrong values. In this paper, we trace Paskov's experiment, investigate the characteristics and the generation algorithm of the pseudo-random number generator in question, and explain...