We derive an analytic expression for the scalar one-loop pentagon and hexagon functions which is convenient for subsequent numerical integration. These functions are of relevance in the computation of next-to-leading order radiative corrections to multi-particle cross sections. The hexagon integral is represented in terms of n-dimensional triangle functions and (n+2)dimensional box functions. I...

Given any n-gon of unit diameter in the plane, it is natural to inquire how large an area it can have. In 1922, Reinhardt [8] showed that for odd II, the obvious configuration is optimal, namely, among all n-gons of diameter 1, the regular n-gon has the maximum area. It was noted, however, that this is not the case for n even.l In particular, H. Lenz [7] raised the question of finding the large...

PURPOSE To evaluate the implant-abutment interface area and the abutment screw loosening value when diamondlike carbon (DLC)-coated or titanium screws were used before and after cyclic loading. MATERIALS AND METHODS Thirty-six implants were divided into four groups according to the type of connection (external hexagon [EH] or internal hexagon [IH]) and the type of abutment screw (with [EHD/IH...

Various research tools have been used for in vitro detection of sperm chemotaxis. However, they are typically poor in maintenance of gradient stability, not to mention their low efficiency. Microfluidic device offers a new experimental platform for better control over chemical concentration gradient than traditional ones. In the present study, an easy-handle diffusion-based microfluidic chip wa...

This paper presents the design and analysis of a transformer based 36-pulse ac-dc converters which supplies direct torque controlled induction motor drives (DTCIMD’s) in order to have better power quality conditions at the point of common coupling. The converters output voltage is accomplished via two paralleled eighteen-pulse ac-dc converters each of them consisting of nine-phase diode bridge ...

We introduce some new voting rules based on a spatial version of the median in R known as the mediancentre, or Fermat-Weber point. Voting rules based on the mean include many that are familiar: the Borda Count, Kemeny rule, approval voting, etc. (see [35], [36]). These mean rules can be implemented by “voting machines” (interactive simulations of physical mechanisms) that use ideal rubber bands...

Introduction: one of the foremost usual methods for evaluating breast cancer is the removal of axillary lymph nodes (ALN) which include complications such as edema, limited hand movements, and lymph accumulation. Although studies have shown that the sentinel gland condition represents the axillary nodules context in the mammary gland, the efficacy, and safety of the guard node biopsy need to be...

We report on localized patches of cellular hexagons observed on the surface of a magnetic fluid in a vertical magnetic field. These patches are spontaneously generated by jumping into the neighborhood of the unstable branch of the domain covering hexagons of the Rosensweig instability upon which the patches equilibrate and stabilise. They are found to co-exist in intervals of the applied magnet...