A subset A of a finite set P of points in the plane is called an empty polygon, if each point of A is a vertex of the convex hull of A and the convex hull of A contains no other points of P . We construct a set of n points in general position in the plane with only ≈ 1.62n empty triangles, ≈ 1.94n empty quadrilaterals, ≈ 1.02n empty pentagons, and ≈ 0.2n empty hexagons.

We use common-sense reasoning to make predictions about what normally will be the case. Such reasoning is captured by using a nonmonotonic semantics selecting a set of intended models from a larger collection of models. Such a selection process, however, might fail: although a theory might have a nonempty set of non-intended models, the set of intended models might be empty. We call such a theo...

Twenty Simmental x Angus, half-sibling, postpubertal heifers (initial BW of 443 +/- 9 kg) were allotted randomly to 2 treatments to evaluate if initial BCS affects how heifers respond to energy restriction and repletion. Dependent variables of interest were changes in BW, BCS, and reproductive status [determined by concentrations of serum progesterone (P(4))]. Empty body composition (EBC) was c...

Objective(s):this study focused on the effect of waterpipe smoke exposure toxicity on the structure of albino rat’s ventricular tissue and their recovery. Materials and Methods: Albino rats were divided into three groups: control, flavored, and unflavored. The control group was exposed to normal air while the flavored and unflavored groups were exposed to waterpipe smoke for a period of 90 days...

We present a two stage parser that recovers Penn Treebank style syntactic analyses of new sentences including skeletal syntactic structure, and, for the first time, both function tags and empty categories. The accuracy of the first-stage parser on the standard Parseval metric matches that of the (Collins, 2003) parser on which it is based, despite the data fragmentation caused by the greatly en...

purpose : to evaluate the correlation between inner segment/outer segment (is/os) line and external limiting membrane (elm) layer integrity at foveal center and visual outcome and to investigate the prognostic factors in optical coherence tomography (oct) that related to final visual acuity (va) and recovery time in acute central serous chorioretinopathy (csc) methods : we prospectively studied...

Abstract. Given a doubling measure μ on R, it is a classical result of harmonic analysis that Calderón-Zygmund operators which are bounded in L(μ) are also of weak type (1, 1). Recently it has been shown that the same result holds if one substitutes the doubling condition on μ by a mild growth condition on μ. In this paper another proof of this result is given. The proof is very close in spirit...

A change in subtask order in the psychological refractory period (PRP) paradigm increases the effect of stimulus onset asynchrony (SOA) on the second response. We used a paradigm with cued, randomly determined subtask order to test the hypothesis that this SOA by order switch overadditivity reflects order control, via "copying" stimulus order. In Experiments 1a and 1b, overadditivity was eviden...

The aim of this study was to investigate the interventional effect of the Chimonanthus salicifolicus essential oil on murine chronic stress-induced anxiety. Rats model of uncertainty empty bottle was established to induce anxiety. The exploratory change, grooming and attack behaviors were observed. After 7 days training period followed by continuous 14 days’ stimulation, rats serum level of glu...