Abstract The Minkowski functionals, including the Euler characteristic statistics, are standard tools for morphological analysis in cosmology. Motivated by cosmic research, we examine functional of excursion set an isotropic central limit random field, whose k -point correlation functions ( th-order cumulants) have same structure as that assumed research. Using 3- and 4-point functions, derive ...

Different mechanisms such as cell migration, proliferation, branching, anastomosis, and lumen formation occur during the angiogenesis process. Lumen formation is one of the critical mechanisms which is not only necessary for the functional plexus but also for continuing of angiogenesis process. Although multiple studies investigated this mechanism during the angiogenesis process in both in vivo...

Abstract We study the minimization of a spectral functional made as sum first eigenvalue Dirichlet Laplacian and relative strength Riesz-type interaction functional. show that when Riesz repulsion is below critical value, existence minimizers occurs. Then we prove, by means an expansion analysis, ball rigid minimizer small enough. Eventually for certain regimes repulsion, regular do not exist.

in this paper a modification of he's variational iteration method (vim) has been employed to solve dung and riccati equations. sometimes, it is not easy or even impossible, to obtain the first few iterations of vim, therefore, we suggest to approximate the integrand by using suitable expansions such as taylor or chebyshev expansions.

Here we have presented an alternate ANN structure called functional link ANN (FLANN) for image denoising. In contrast to a feed forward ANN structure i.e. a multilayer perceptron (MLP), the FLANN is basically a single layer structure in which non-linearity is introduced by enhancing the input pattern with nonlinear function expansion. In this work three different expansions is applied. With the...

1. The effects of acute volume expansion on vascular resistance and reactivity to noradrenaline and angiotensin I1 are reported in this study. The estimated circulating blood volume of pentobartibal-anaesthetized dogs was expanded by about 35% with equilibrated donor blood. The animals were bilaterally nephrectomized to sustain expanded volume. 2. Functional changes in vascular smooth muscle we...

In the past, relationships in the sagittal plane have dominated orthodontic thinking to such an extent that the great majority of clinicians did not even bother to procure frontal radiographs (images, headplates). However, several factors have awakened the current clinician to a deeper interest in the transverse dimension1: (1) maxillary palatal dysjunction expansion (rapid palatal expansion [R...