We give a short proof of a slightly weaker version of the multilinear Kakeya inequality proven by Bennett, Carbery, and Tao. The multilinear Kakeya inequality is a geometric estimate about the overlap pattern of cylindrical tubes in R pointing in different directions. This estimate was first proven by Bennett, Carbery, and Tao in [BCT]. Recently it has had some striking applications in harmonic...

in this work, homogeneous thermochemical co-precipitation method was used to fabricate w-25wt%cu nanocomposite. synthesized nanocomposite powder was calcined and reduced. a hydrogen atmosphere sintering at 1200oc for 105 consolidated the product up to a density close to 98% theoretical density. wear experiment were carried out using a pin-ondisc set up at three normal loads of 5, 10 and 15 n an...

PURPOSE To establish the fundamental relationship between deformation and its causative physical force using a deformable bladder phantom. To ascertain if a threshold limit exists for DIR accuracy, beyond which its applicability in deformed anatomy may be clinically inappropriate. METHODS A tissue equivalent deformable bladder phantom with 21 implanted aluminum markers was developed using a v...

A 69-year old man was hospitalized because of weakness and weightless. Physical examination revealed cachexia, hepatomegaly, voluminous splenomegaly and polyadenopathy. The patient was not jaundiced. Blood and biochemistry analysis showed: leukocytes 8.7ϫ10 9 /L, hemoglobin 96 g/L, platelets 95ϫ10 9 /L, alkaline phosphatase: 6N, ␥-glutamyl transferase: 10N), decreased pro-thrombin time (58%), h...

I i!s rItecen1t (fourtli) edition1 of Dr),. N(wnS popular little '' Aids' w%ill, the reviewer feels, h)e as wel(-lI received as have 1)10n its pre((IvcessorsI. 'I'lhe general layout of the book1 is similar-, there being a simiiply presente(l yet valuable initroductionl, this being followed by the main body of the book which is divided into two parts. Part one is further subdivided into two part...

High volume low intensity training sessions such as one hour rowing ergometer sessions are frequently used to improve the fitness of elite rowers. Early work has suggested that technique may decline over this time period. This study sought to test the hypothesis that "elite rowers can maintain technique over a one hour rowing ergometer session". An electromagnetic device, in conjunction with a ...