We prove the endpoint case of the multilinear Kakeya conjecture of Bennett, Carbery, and Tao. The proof uses the polynomial method introduced by Dvir. In [1], Bennett, Carbery, and Tao formulated a multilinear Kakeya conjecture, and they proved the conjecture except for the endpoint case. In this paper, we slightly sharpen their result by proving the endpoint case of the conjecture. Our method ...

The physics of the strong interactions always has been tightly connected to the study of nucleons at shorter and shorter distances. The measurement of the anomalous magnetic moments of the proton and neutron in 1933 and 1939 made clear that nucleons are no elementary particles. During the 1950ies the Hofstadter experiments revealed the charge distributions inside nucleons at scales Q ≃ 0.5 ·M N...

BACKGROUND AND PURPOSE The aim of this trial was to investigate whether stroke patients who receive Cerebrolysin show improved motor function in the upper extremities at day 90 compared with patients who receive a placebo. METHODS This study was a prospective, randomized, double-blind, placebo-controlled, multicenter, parallel-group study. Patients were treated with Cerebrolysin (30 mL/d) or ...

BACKGROUND Selenium is an essential trace element, but critically ill patients using total parenteral nutrition (PN) do not receive selenium because this mineral is not commonly offered. Threfore, the eval uation of plasma selenium levels is very important for treating or preventing this deficiency. Recent studies have shown that transthyretin may reflect the selenium intake and could be consid...

BACKGROUND Norovirus causes a majority of outbreaks of gastrointestinal (GI) illness on cruise ships calling on the United States. Control measures include patient isolation, hand washing, and facility closure. Little is known about the behaviors and practices of people who have become ill with norovirus GI illness compared to those who remained well during an outbreak. METHODS Passenger surv...

The present study tested the hypothesis that the exercise protocol (continuous vs. intermittent) would affect the physiological response and the perception of effort during aquatic cycling. Each protocol was divided on four stages. Heart rate, arterial blood pressure, blood lactate concentration, central and peripheral rate of perceived exertion were collected in both protocols in aquatic cycli...

The nonlinear magneto-optical Kerr-effect (NOLIMOKE) is determined for freestanding Fe monolayers with several in-plane structures from first principles. Based on the theory of nonlinear magneto-optics by Hübner and Benne-mann [Phys. Rev. B, 40, 5973 (1989)] we calculate the nonlinear susceptibil-ities of the monolayers using the ab initio FLAPW-method WIEN95 with the additional implementation ...

The AUC (area under ROC curve) is a commonly used metric to assess discrimination of risk prediction rules; however, standard errors of AUC are usually based on the Mann-Whitney U test that assumes independence of sampling units. For ophthalmologic applications, it is desirable to assess risk prediction rules based on eye-specific outcome variables which are generally highly, but not perfectly ...