Assume that n points P1, . . . , Pn are distributed independently and uniformly in the triangle with vertices (0, 1), (0, 0), and (1, 0). Consider the convex hull of (0, 1), P1, . . . , Pn, and (1, 0). The vertices of the convex hull form a convex chain. Let p (n) k be the probability that the convex chain consists — apart from the points (0, 1) and (1, 0) — of exactly k of the points P1, . . ....

Let Pn(x) = ∑n i=0 ξix i be a Kac random polynomial where the coefficients ξi are iid copies of a given random variable ξ. Our main result is an optimal quantitative bound concerning real roots repulsion. This leads to an optimal bound on the probability that there is a real double root. As an application, we consider the problem of estimating the number of real roots of Pn, which has a long hi...

Long-term parenteral nutrition (PN) carries the risk of progressive liver disease in infants with intestinal failure. Although PN-associated liver disease (PNALD) is multifactorial in etiology, components of soybean oil lipid emulsions have been implicated in the disease's pathogenesis. Historically, infants with PNALD who were unable to wean from PN to full enteral feeding developed cirrhosis ...

IFALD is a common and potentially life-threatening condition for patients with SBS requiring long-term PN. There exists the potential for decreasing its incidence by optimizing the composition and the rate of infusion of parenteral solutions, by advocating a multidisciplinary approach, and by early referral for intestinal-liver transplantation to ensure long-term survival of patients with SBS.

Using a mixture of ferrocene, pyridine, and triphenylphosphine as precursors for injection-assisted chemical vapor deposition (CVD), we prepared the first vertically aligned multiwalled carbon nanotube array co-doped with phosphorus (P) and nitrogen (N) with a relatively high P-doping level (designated as PN-ACNT). We have also demonstrated the potential applications of the resultant PN-ACNTs a...

— Aiming at the problem of blind estimation of Pseudo-random (PN) sequences in multi-user long scrambling code direct sequence spread spectrum (LSC-DSSS) signals, in this paper, we proposed a novel PN sequences estimation method based on Fast-ICA algorithm and third-order statistics. The received signal is firstly divided twice into segments and then the segments are transformed into several a...

A Personal Network (PN) is a user-centric design interconnecting numerous devices belonging to a user in different geographic locations, such as home, office, car, etc., to form a single global network to offer fully personalized services. In PNs devices of the user move in different groups, where these groups merge and split. In this paper, we design and simulate a PN Mobility Model (PNMM) to ...

Background. PermaNet® 3.0 (PN 3.0) is a combination long-lasting insecticidal net (LLIN) designed to have increased efficacy against pyrethroid-resistant malaria vectors. Field testing of this new tool under normal use has been limited. Here we report on a small-scale village trial carried out at two localities where malaria vectors were resistant to pyrethroid insecticides. Methods. Nets were ...

In the Personal Network (PN) concept, the user with its Wireless Personal Area Network (WPAN) is the central element with transparent connections to remote resources using a large variety of services. A global service environment is established via WPAN access to a long-haul infrastructure network e.g. the optical fiber network. If the fiber reaches to the WPAN, wireless over optics transmissio...

Nutritional support in the intensive care setting represents a challenge but it is fortunate that its delivery and monitoring can be followed closely. Enteral feeding guidelines have shown the evidence in favor of early delivery and the efficacy of use of the gastrointestinal tract. Parenteral nutrition (PN) represents an alternative or additional approach when other routes are not succeeding (...