Let n, p, k be three positive integers. We prove that the numbers n k 3 F 2 (1 − k, −p, p−n ; 1, 1−n ; 1) are positive integers which generalize the classical binomial coefficients. We give two generating functions for these integers, and a straightforward application. z k k! , where for an indeterminate a and some positive integer k, the raising factorial is defined by (a) k = a(a + 1). .. (a ...

The performance of a one-dimensional MR technique for the estimation of pulse-wave velocity in the aorta was evaluated. An expression for the error in this estimate was formulated and verified both by simulation and by experiment. On the basis of this formulation, guidelines for increasing the efficiency of the acquisition were established. The technique was further validated by comparison with...

Methodologies to improve disdrometer processing, loosely based on mathematical techniques common to the field of particle flow and fluid mechanics, are examined and tested. The inclusion of advection and vertical wind field estimates appears to produce significantly improved results in a Lagrangian hydrometeor trajectory model, in spite of very strict assumptions of noninteracting hydrometeors,...

Context. The Microwave Instrument on the Rosetta Orbiter (MIRO) board spacecraft was designed to investigate surface and gas activity of comet 67P/Churyumov-Gerasimenko. MIRO spectroscopic measurements carry information about velocity emanating from nucleus surface. Knowledge terminal H 2 O is valuable for interpretation in situ measurements, calibrating 3D coma simulations, studying physics ac...

An analysis is made to see the influences of Hall current on the flow of a Burgers’ fluid. The velocity field corresponding to flow in a pipe is determined. The closed form analytical solutions for several Newtonian and non-Newtonian fluid models can be obtained from the present analysis as the limiting cases. MIRAMARE – TRIESTE December 2005 Corresponding author: mkhan−[email protected] Junior Asso...