We construct motivic versions of the classical tubular neighborhood and the punctured tubular neighborhood, and give applications to the construction of tangential base-points for mixed Tate motives, algebraic gluing of curves with boundary components , and limit motives.

BACKGROUND Strong evidence supports that living in disadvantaged neighborhoods has direct unfavorable impact on mental and physical health. However, whether it also has direct impact on cellular health is largely unknown. Thus we examined whether neighborhood quality was associated with leukocyte telomere length, an indicator of cellular aging. METHODS In May 2014, we extracted and analyzed b...

This paper aims to determine the prevalence of use online neighborhood networks (ONNs) and explores which socio-demographic, socioeconomic status (SES), social integration, media determinants predict ONN membership uses. Drawing on a stratified random sample (Ghent, Belgium), we found that over third population are members was mainly predicted by socio-demographic characteristics. Also, in cont...

A partial Latin square (PLS) is a partial assignment of n symbols to an n×n grid such that, in each row and in each column, each symbol appears at most once. The partial Latin square extension problem is an NP-hard problem that asks for a largest extension of a given PLS. In this paper we propose an efficient local search for this problem. We focus on the local search such that the neighborhood...

The compatible expansion in series of solutions of both the equations of P–Q pair at neighborhood of the singular point is obtained in closed form for regular and irregular singularities. The conservation laws of the system of ordinary differential equations to arise from the compatibility condition of the P–Q pair are derived.

(About Jackson q-Bessel functions) Laplace transform allows to resolve differential equations in the neighborhood of an irregular singular point. The purpose of the article is to study how to apply a basic Borel– Laplace transformation to q-difference equations satisfied by the q-Bessel functions of F.H. Jackson. Connection matrices are obtained between solutions at the origin and solutions at ...

The compatible expansion in series of solutions of both the equations of P–Q pair at neighborhood of the singular point is obtained in closed form for regular and irregular singularities. The conservation laws of the system of ordinary differential equations to arise from the compatibility condition of the P–Q pair are derived.

Given two cellu lar automata rules represented as operato rs Q and X, together with certain nat ural restrictions on their neighborhood st ruct ures , an algor ithm is provided which yields two other rules, A and R, such that Q = AX +R. A generalized arithmetic of residues follows from this.