It is shown that, for solid caps D of heat balls in Rd+1 with center z0 = (0, 0), there exist Borel measurable functions w on D such that inf w(D) > 0 and ∫ v(z)w(z) dz ≤ v(z0), for every supertemperature v on a neighborhood of D. This disproves a conjecture by N. Suzuki and N.A. Watson. On the other hand, it turns out that there is no such volume mean density, if the bounded domain D in Rd × (...

A very difficult problem for complete caps in PG(r,q) is to determine their minimum size. The results on this topic are still scarce and in this paper we survey the best results now known. Furthermore, we construct new interesting sporadic examples of complete caps in PG(3, q) and in PG(4, q) such that their size are smaller than the currently known. As a consequence, we get that the Pellegrino...

Incidences of non-deposition or erosion at the modern seabed and hiatuses within the pelagic caps of guyots and seamounts are evaluated along with paleo-temperature and physiographic information to speculate on the character of Late Cenozoic internal tidal

Working over the field of order 2 we consider those complete caps which are disjoint from some codimension 2 subspace of projective space. We derive restrictive conditions which such a cap must satisfy in order to be complete. Using these conditions we obtain explicit descriptions of complete caps which do not meet every hyperplane in at least 5 points. In particular, we determine the set of ca...

BACKGROUND Epidemiologic evidence suggests that chronic stress may alter susceptibility to air pollution. However, persistent spatial confounding between these exposures may limit the utility of epidemiologic methods to disentangle these effects and cannot identify physiologic mechanisms for potential differential susceptibilities. OBJECTIVES Using a rat model of social stress, we compared re...

AIM To report our one-year experience with computer assisted propofol sedation (CAPS) for colonoscopy as the first United States Medical Center to adopt CAPS technology for routine clinical use. METHODS Between September 2014 and August 2015, 2677 patients underwent elective outpatient colonoscopy with CAPS at our center. All colonoscopies were performed by 1 of 17 gastroenterologists certifi...

A small subset of patients with antiphospholipid syndrome (APS) may develop widespread thrombotic disease organ damage, referred to as catastrophic APS (CAPS) that is associated a high mortality. Medical therapy typically involves combination anticoagulation, systemic glucocorticoids, plasmapheresis, and intravenous immune globulin (IVIG). There currently no consensus for the management refract...

We consider bounds on codes in spherical caps and related problems in geometry and coding theory. An extension of the Delsarte method is presented that relates upper bounds on the size of spherical codes to upper bounds on codes in caps. Several new upper bounds on codes in caps are derived. Applications of these bounds to estimates of the kissing numbers and one-sided kissing numbers are consi...

In this paper we provide two introductory analyses of CAPs, based exclusively on the analysis of documents found on the Internet. The first analysis allowed us to investigate the world of CAPs, in particular for what concerned their status (dead or alive), the scope of those platforms and the typology of users. In order to develop a more accurate model of CAPs, and to understand more deeply the...

In this article, we consider ‘N ’spherical caps of area 4πp were uniformly distributed over the surface of a unit sphere. We are giving the strong threshold function for the size of random caps to cover the surface of a unit sphere. We have shown that for large N, if Np log N > 1/2 the surface of sphere is completely covered by the N caps almost surely , and if Np log N ≤ 1/2 a partition of the...