A completion via Frink ideals is used to define a convex powerdomain of an arbitrary continuous lattice as a continuous lattice. The powerdomain operator is a functor in the category of continuous lattices and continuous inf-preserving maps and preserves projective limits and surjectivity of morphisms; hence one can solve domain equations in which it occurs. Analogous results hold for algebraic...

We study the spectra of N×N Toeplitz band matrices perturbed by small complex Gaussian random matrices, in regime N?1. prove a probabilistic Weyl law, which provides precise asymptotic formula for number eigenvalues certain domains, may depend on N, with probability sub-exponentially (in N) close to 1. show that most matrix are at distance O(N?1+?), all ?>0, curve plane given symbol unperturbed...

Abstract This is the first in a series of articles about recovering full algebraic structure boundary conformal field theory (CFT) from scaling limit critical Ising model slit-strip geometry. Here, we introduce spaces holomorphic functions continuum domains as well corresponding discrete lattice domains. We find distinguished sets characterized by their singular behavior three infinite directio...

A specialized extracellular matrix of proteins and polysaccharides controls the morphology and packing of calcium carbonate crystals and becomes occluded within the mineralized composite during formation of the molluscan shell and pearl. We have cloned and characterized the cDNA coding for Lustrin A, a newly described matrix protein from the nacreous layer of the shell and pearl produced by the...

Most epithelial cells secrete a glycoprotein-rich apical extracellular matrix that can have diverse but still poorly understood roles in development and physiology. Zona Pellucida (ZP) domain glycoproteins are common constituents of these matrices, and their loss in humans is associated with a number of diseases. Understanding of the functions, organization and regulation of apical matrices has...

C ELL--cell and cell-matrix adhesion, as well as proteolysis of the extracellular matrix, are vital for normal processes such as tissue morphogenesis and wound healing, as well as for pathologies such as tumor cell invasion and metastasis. A variety of cell surface adhesion proteins and proteases are important players in these events. Families of membrane-anchored cell surface adhesion molecule...

Abstract In this article, we investigate exponential lag synchronization results for the Cohen–Grossberg neural networks with discrete and distributed delays on an arbitrary time domain by applying feedback control. We formulate problem using scales theory so that can be applied to any uniform or non-uniform domains. Also, provide a comparison of shows obtained are unified generalize existing r...

We are investigating the nature of plant genome domain organization by using DNase I- and topoisomerase II-mediated cleavage to produce domains reflecting higher order chromatin structures. Limited digestion of nuclei with DNase I results in the conversion of the >800 kb genomic DNA to an accumulation of fragments that represents a collection of individual domains of the genome created by prefe...

The membrane-binding matrix (MA) domain of the human immunodeficiency virus type 1 (HIV-1) structural precursor Gag (PrGag) protein oligomerizes in solution as a trimer and crystallizes in three dimensions as a trimer unit. A number of models have been proposed to explain how MA trimers might align with respect to PrGag capsid (CA) N-terminal domains (NTDs), which assemble hexagonal lattices. W...

Abstract In this paper an algebraic substructuring preconditioner is considered for nonconforming nite element approximations of second order elliptic problems in D domains with diagonal anisotropic di usion tensor Using a block Gauss elimination and a substructuring idea part of the unknowns is eliminated and the Schur complement obtained is preconditioned by a spectrally equivalent matrix Whe...