Believing that figural zoom invariance and the cross-figural boundary linking implied by medial loci are important aspects of object shape, we present the mathematics of and algorithms for the extraction of medial loci directly from image intensities. The medial loci called cores are defined as generalized maxima in scale space of a form of medial information that is invariant to translation, r...

Jurassic deposits are well exposed in the Bazehowz area, South west of Mashhad city, East Alborz, Iran. It contains plant macrofossilsbelonging to eighteen species of eleven genera of various orders such as Equisetales, Filicales, Bennettitales, Cycadales,Corystospermales, Caytoniales, Ginkgoales and Pinales. Two biozones were recognized in the type section of Bazehowz Formation.Biozone I is an...

This supplementary document presents two extensions of the mathematical model, as well as a more detailed description of the Drosophila experimental data. In addition, we present some clarifications on the graph model and a detailed methods section. In the paper we approximate s t , the average number of sides per cell at generation t as: s t ≈ 2e t / f t = 2(e t-1 + 3f t-1) / 2f t-1 = (s t-1 /...

in this paper, we study the nehari manifold and its application on the following navier boundary valueproblem involving the p-biharmonic          0, on( ) 1 ( , ) , in , 2*2u uf x u u upu u p q where  is a bounded domain in rn with smooth boundary  . we prove that the problem has atleast two nontrivial nonnegtive solutions when the parameter  belongs to a certain subset o...

Motivated by an approximation problem from mathematical finance, we analyse the stability of the boundary crossing probability for the multivariate Brownian motion process, with respect to small changes of the boundary. Under broad assumptions on the nature of the boundary, including the Lipschitz condition (in a Hausdorff-type metric) on its time cross-sections, we obtain an analogue of the Bo...

We continue the work of [14]. Let E be a non-Blaschke subset of the unit disc D of the complex plane C. Fixed 1 ≤ p ≤ ∞, let Hp(D) be the Hardy space of holomorphic functions in the disk whose boundary value function is in Lp(∂D). Fixed 0 < R < 1. For ǫ > 0 define Cp(ε,R) = sup{ sup |z|≤R |g(z)| : g ∈ H, ‖g‖p ≤ 1, |g(ζ)| ≤ ε ∀ζ ∈ E}. In this paper we find upper and lower bounds for Cp(ǫ, R) whe...

anotomical boundary of atrioventricular node reentrant tachycardia (avnrt) is composed of fast and slow pathways right atrium in upper turnaround and common distal pathway in lower turnaround. we performed electophsiologic study (eps) in 152 patients and could show the existence of distal common pathway with decremental conduction properties in approximately 40 patients.

Upper and lower solution method plays an important role in studying boundary value problems for nonlinear differential equations; see 1 and the references therein. Recently, many authors are devoted to extend its applications to boundary value problems of functional differential equations 2–5 . Suppose α is one upper solution or lower solution of periodic boundary value problems for second-orde...

We investigate quantitative properties of nonnegative solutions u(t, x) ≥ 0 to the nonlinear fractional diffusion equation, ∂tu + LF (u) = 0 posed in a bounded domain, x ∈ Ω ⊂ R , with appropriate homogeneous Dirichlet boundary conditions. As L we can use a quite general class of linear operators that includes the two most common versions of the fractional Laplacian (−∆), 0 < s < 1, in a bounde...