The kissing number in n-dimensional Euclidean space is the maximal number of non-overlapping unit spheres which simultaneously can touch a central unit sphere. Bachoc and Vallentin developed a method to find upper bounds for the kissing number based on semidefinite programming. This paper is a report on high accuracy calculations of these upper bounds for n ≤ 24. The bound for n = 16 implies a ...

central venous catheter (cvc) insertion is a practical way to assess patients hemodynamic specially in cardiovascular surgery but this relatively simple junior level procedure is not risk free and its common reported complications include; pneumothorax, hydrothorax, hemothorax, local hematoma, cardiac tamponade, vascular injury, thrombosis, embolism, and catheter disruption. here in this articl...

this study attempts to investigate the origin of red pigments, time of reddening, and processes responsible for red colouring of the upper miocene age upper red formation, the most important clastic unit in central iran. mineralogical composition and textural properties of the studied sequences show that the upper red formation sequences were not red when deposited, although some parts of red p...

A 67-year-old male was brought to hospital (Linda University Medical Center, Loma Linda, CA, USA) after being hit by a car. The patient underwent surgery for a fractured acetabulum. The post-operative course was complicated by 7 days of ileus. An upper gastrointestinal (GI) series (i.e. barium swallow) with small bowel follow-through was requested. There were no immediate complications during t...

where 0 log 0 is taken as 0. Assume that the p~ are nonincreasing in n (reordering of the p~ does not affect H) . In a recent paper, Keilson (1971) showed that a sufficient condition for the series in (1) to be summable is that oo (i) Z1 P~ log n < ~ and (ii) P,.k ~ 1 / kp , as n ~ ~ for all fixed h = 1, 2 , . . . . I t will follow from the results given here that condition (i) alone is suffici...

The Mathieu’s series S(r) was considered firstly by É.L. Mathieu in 1890; its alternating variant S̃(r) has been recently introduced by Pogány et al. [12] where various bounds have been established for S, S̃. In this note we obtain new upper bounds over S(r), S̃(r) with the help of Hardy–Hilbert double integral inequality. 2000 Mathematics Subject Classification. Primary: 26D15, 33E20.

Introduction: Epidemiologic data of upper extremity tumors are still few and sometimes conflicting. In our department, hand surgeons manage these tumors. Good documentation of patients’ information permitted us to make an epidemiologic study on the tumors of the upper extremity operated in our department. Methods: We retrospectively studied all the cases of upper extremity tumors operated from...

(m,n)6=(0,0) y |mz+n|2s is the nonholomorphic Eisenstein series on the upper half plane, then for all y sufficiently large, E(z, s) has a ”Siegel zero.” That is E(z, β) = 0 for a real number β just to the left of one. We give a generalization of this result to Eisenstein series formed with real valued automorphic forms on a finite central covering of the adele points of a connected reductive al...

let $g$ be a finite $p$-soluble group‎, ‎and $p$ a sylow $p$-subgroup of $g$‎. ‎it is proved‎ ‎that if all elements of $p$ of order $p$ (or of order ${}leq 4$ for $p=2$) are‎ ‎contained in the $k$-th term of the upper central series of $p$‎, ‎then the $p$-length of‎ ‎$g$ is at most $2m+1$‎, ‎where $m$ is the greatest integer such that‎ ‎$p^m-p^{m-1}leq k$‎, ‎and the exponent of the image of $p$...