Let [P,(")] be the class of all subsets P, ( ') of the k-dimensional Euclidean space consisting of n distinct points and having diameter 1 . Denote by dk (n, r) the maximum number of times a given distance r can occur among points of a set Pn ( k) . l'ut Dk (n) = max, d, (n, r) . In other words Dk (n) denotes the maximum number of times the same distance can occur between n suitably chosen poin...

Consider a one dimensional stepping stone model with colonies of size M and per generation migration probability ν, or a voter model on Z in which interactions occur over a distance of order K. Sample one individual at the origin and one at L. We show that if Mν/L and L/K2 converge to positive finite limits, then the genealogy of the sample converges to a pair Brownian motions that coalesce aft...

Sorted circles emerge as self-organized patterns from a laterally uniform active layer that becomes laterally sorted as frost heave deforms the interface between a stone layer and an underlying soil layer. In a three-dimensional, cellular model of the active layer, cyclic freezing and thawing drives transport of stone and soil particles by (1) addition of ice particles representing soil expansi...

Purpose: The aim of the present study was to evaluate and compare the dimensional accuracy of stone models made by addition silicone impression material using three puttywash impression techniques: one step putty wash (dual viscosity), two step and modified two step putty wash technique. Material and Methods: A stainless steel master model was constructed simulating a three-unit fixed prosthesi...

Coherent Deformable Model Yusuf Sinan Akgul Chandra Kambhamettu Maureen Stone Department of Computer and Information Sciences Division of Otolaryngology University of Delaware The University of Maryland Medical School Newark, Delaware 19716 Baltimore, Maryland 21201 Abstract We present a system that extracts and tracks 2D midsagital tongue surfaces from ultrasound image sequences produced by a ...

The motion of a stone skimming over a water surface is considered. A simplified description of the collisional process of the stone with water is proposed. The maximum number of bounces is estimated by considering both the slowing down of the stone and its angular stability. The conditions for a successful throw are discussed. © 2003 American Association of Physics Teachers. @DOI: 10.1119/1.151...

objectives: this study aimed to evaluate the effect of storage period on dimensional stability of alginplus and hydrogum 5. materials and methods: in this in vitro experimental study, 60 impressions were taken of an upper jaw typodont, including 10 impressions for each storage period to be tested (12 minutes, 24 and 120 hours) for each type of alginate. then, the impressions were stored in an i...

If the absolute number of poor people goes up, but the fraction of people in poverty comes down, has poverty gone up or gone down? The economist’s instinct, framed by population replication axioms that undergird standard measures of poverty, is to say that in this case poverty has gone down. But this goes against the instinct of those who work directly with the poor, for whom the absolute numbe...