A generalization of Stirling numbers
, 1995 We generalize the Stirling numbers of the first kind $s(a,k)$ to the case where $a$ may be an arbitrary real number. In particular, we study the case in which $a$ is an integer. There, we discover new combinatorial properties held by the classical Stirling numbers, and analogous properties held by the Stirling numbers $s(n,k)$ with $n$ a negative ...
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A divisibility property for stirling numbers
Journal of Number Theory, 1978 AbstractIn this paper we calculate which prime powers ps divide Δn, m = g.c.d.{k! S(n, k)|m ≤ k ≤ n} for s < p. Here S(n, k) is a Stirling number of the second kind.
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Automated face recognition assists with low‐prevalence face identity mismatches but can bias users
British Journal of Psychology, EarlyView.Abstract We present three experiments to study the effects of giving information about the decision of an automated face recognition (AFR) system to participants attempting to decide whether two face images show the same person. We make three contributions designed to make our results applicable to real‐word use: participants are given the true ...
Melina Mueller +5 more
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Rational QCD loop amplitudes and quantum theories on twistor space
Journal of High Energy PhysicsWe show how curing an anomaly of the twistor uplift of self-dual Yang-Mills theory implies linear relations among one-loop, n-gluon, color-ordered subamplitudes in QCD, when all n gluon helicities are positive, or when exactly one is negative. We compute
Lance J. Dixon, Anthony Morales
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Convolution Identities of Stirling Numbers
Utilitas MathematicaBy means of the generating function method, a linear recurrence relation is explicitly resolved. The solution is expressed in terms of the Stirling numbers of both the first and the second kind. Two remarkable pairs of combinatorial identities (Theorems 3.1 and 3.3) are established as applications, that contain some well–known convolution formulae on ...
Li, Nadia Na, Chu, Wenchang
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Strategies, costs and counter‐strategies to sexual coercion
Biological Reviews, EarlyView.ABSTRACT Sexual conflict, the conflict between the evolutionary interests of females and males over mating, occasionally results in the evolution of traits favourable for one sex and adverse for the other. In this context, males can use sexual coercion to increase their mating success, at the expense of their female targets' mate choice.
Nikolaos Smit
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Stirling number Identities and High energy String Scatterings
, 2009 Jen-Chi Lee, Yi Yang, Sheng-Lan Ko
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Close encounters of the friendly kind: pacific between‐group interactions in primates
Biological Reviews, EarlyView.ABSTRACT While intergroup conflict features prominently in the behavioural ecology literature, its antonym, intergroup peace, has been a rather neglected phenomenon until recently. Neighbourly relations and affiliative interactions are far from uncommon.
Cyril C. Grueter, Luca Pozzi
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Geophysical Monograph Series, Page 305-323., 2021 Exploring the links between Large Igneous Provinces and dramatic environmental impact
An emerging consensus suggests that Large Igneous Provinces (LIPs) and Silicic LIPs (SLIPs) are a significant driver of dramatic global environmental and biological changes, including mass extinctions.
Brian Kendall +2 more
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The $t$-successive associated Stirling numbers, $t$-Fibonacci--Stirling numbers, and unimodality [PDF]
TURKISH JOURNAL OF MATHEMATICS, 2017 Hacène Belbachir +1 more
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