In this paper, we consider generalizations of the Stirling number first and second kind by using a specialization new family symmetric functions. We give combinatorial interpretations for these functions means weighted lattice path tilings. also present some convolutions involving complete elementary Additionally, introduce different families set partitions to modular s-Stirling numbers.

We derive a family of labeled, undirected graphs from the Stirling table of the rst kind and investigate properties of these graphs as a basis for multiprocessor interconnection networks. The diameter of a Stirling network with n nodes is dlog2(n + 1)e 1, the average distance is less than 10/3, and the number of links is O(n1:59). Stirling networks can be inductively speci ed with incrementabil...

Interval mapping of quantitative trait loci (QTL) for resistance to late blight, height, and maturity was performed on a tetraploid full-sib family of potato comprising 227 clones from a cross between a susceptible parent, 12601ab1, and a resistant cultivar, Stirling, which were of similar height and main crop maturity. Thirty-eight AFLP primer combinations provided 585 informative markers, and...

We first give a combinatorial interpretation of Everitt, Littlejohn, and Wellman’s Legendre-Stirling numbers of the first kind. We then give a combinatorial interpretation of the coefficients of the polynomial (1 − x) ∑∞ n=0 { n+k n } x analogous to that of the Eulerian numbers, where { n k } are Everitt, Littlejohn, and Wellman’s Legendre-Stirling numbers of the second kind. Finally we use a r...

The purpose of this article is to introduce p-Stirling numbers of the first and second kinds.

an irreversible stirling heat pump cycle using ferromagnetic materials as a cyclic working substance is established. the influences of finite-rate heat transfer, heat leak, regeneration time, regenerative lossand the internal irreversibility on the cyclic performance of magnetic heat pumps are taken into account. on the basis of the thermodynamic properties of ferromagnetic materials, the perfo...

MISSION (ARM): QUANTATIVE IRON MINERALOGY AND OXIDATION STATES. C. Schröder, G. Klingelhöfer, R. V. Morris, A. S. Yen, F. Renz, and T. G. Graff, Biological and Environmental Sciences, University of Stirling, Stirling FK9 4LA, Scotland, UK, [email protected], Institute of Inorganic Chemistry and Analytical Chemistry, Johannes Gutenberg-University, Staudinger Weg 9, 55128 Mainz, Germ...

Micro-scale devices based on the Stirling cycle are an attractive choice for chipand board-level electronics. A new Stirling cycle micro-refrigeration system composed of arrays of silicon MEMS cooling elements has been designed. COMSOL is used to evaluate the thermal performance of the system. Simulation of compressible flow and heat transfer with a large deformed mesh has been successfully imp...