Claire Fortunel*, C. E. Timothy Paine, Paul V. A. Fine, Nathan J. B. Kraft and Christopher Baraloto INRA, UMR Ecologie des Forêts de Guyane, BP 709, 97387, Kourou Cedex, France; Biological and Environmental Sciences, University of Stirling, Stirling FK9 4LA, UK; Department of Integrative Biology, University of California, Berkeley, CA 94720, USA; Department of Biology University of Maryland, Co...

Manu Sushruth, ∗ Jasper P. Fried, Abdelmadjid Anane, Stephane Xavier, Cyrile Deranlot, Vincent Cros, and Peter J. Metaxas 4, † School of Physics and Astrophysics, M013, University of Western Australia, 35 Stirling Hwy, Crawley WA 6009, Australia. Unité Mixte de Physique, CNRS, Thales, Univ. Paris-Sud, Université Paris-Saclay, 91767 Palaiseau, France. Thales Research and Technology, 1 Avenue A. ...

The Stirling cycle and related terminology is defined. Selected contemporary research involving the cycle in environmentally friendly applications is cited. Three conventional engine configurations that utilize a reciprocating power piston and crank shaft (the Alpha, Beta, and Gamma) are characterized, in terms of minimum number of components, advantages, and disadvantages. A new type of Stirli...

⁎ Corresponding author. Division of Psychology, School of Stirling, Stirling, Scotland, FK9 4LA. Tel.: +44 1786 466 E-mail address: [email protected] (C. Allen). http://dx.doi.org/10.1016/j.evolhumbehav.2016.05.001 1090-5138/Crown Copyright © 2016 Published by Elsevie Please cite this article as: Allen, C., et al., The i man Behavior (2016), http://dx.doi.org/10.10 Article history: Init...

We consider a class of sequences defined by triangular recurrence equations. This class contains Stirling numbers and Eulerian numbers of both kinds, and hypergeometric multiples of those. We give a sufficient criterion for sums over such sequences to obey a recurrence equation, and present algorithms for computing such recurrence equations efficiently. Our algorithms can be used for verifying ...

Biological & Environmental Sciences, University of Stirling, Stirling FK9 4LA, Scotland, UK. Institute of Environmental Sciences (CML), Leiden University, PO Box 9518, 2300 RA Leiden, The Netherlands. Institute of Biology Leiden (IBL), Leiden University, PO Box 9505, 2300 RA Leiden, The Netherlands. School of Biological Sciences, University of Bristol, Life Sciences Building, Bristol BS8 1TQ, U...

Abstract We recall two formulas, due to C. Jordan, for the successive derivatives of functions with an exponential or logarithmic inner function. We apply them to get addition formulas for the Stirling numbers of the second kind and for the Stirling numbers of the first kind. Then we show how one can obtain, in a simple way, explicit formulas for the generalized Euler polynomials, generalized E...

This research began as an examination of the problem solving strategies of individuals who believe they can control reinforcements they recelve (internals) and those who believe that outside forces control reinforcements (externals) under different conditions of skill and chance. This developed into a study of the cognitive functioning of internals and externals in concept formation tasks. Inte...

In this paper, we define two natural (p, q)-analogues of the generalized Stirling numbers of the first and second kind S(α, β, r) and S(α, β, r) as introduced by Hsu and Shiue [17]. We show that in the case where β = 0 and α and r are nonnegative integers both of our (p, q)-analogues have natural interpretations in terms of rook theory and derive a number of generating functions for them. We al...

Note that the pair of Stirling numbers of the first and second kind is a special case of a GSP [g(t) = e>-l,f(t) = 1n(l + t)]. In the present paper, we define an extended generalized Stirling pair, say {B^n^h), B2{n,k)}, which covers in particular the above known results and other interesting pairs of numbers with combinatorial interpretations. Moreover, similar relations to the orthogonality o...