Herbert S. Wilf (1931–2012)

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Herbert S . Wilf ( 1931 – 2012 )

DOI: http://dx.doi.org/10.1090/noti1247 received both the Steele Prize for Seminal Contributions to Research (from the AMS, 1998) and the Deborah and Franklin Tepper Haimo Award for Distinguished Teaching (from the MAA, 1996). During his long tenure at Penn he advised twenty-six PhD students and won additional awards, including the Christian and Mary Lindback Award for excellence in undergradua...

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Balls in Boxes: Variations on a Theme of Warren Ewens and Herbert Wilf

Each one of r students has to choose from n different parallel Calculus sections, taught by different professors. Although each professor expects to get R := r/n students signing-up, most likely, many of them would receive less, and many of them would receive more. Suppose that Prof. Niles, the most “popular” professor got as many as m+ 1 students, is Prof. Niles justified in assuming that she ...

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Partitions with Distinct Multiplicities of Parts: On An "Unsolved Problem" Posed By Herbert Wilf

Wilf’s Sixth Unsolved Problem asks for any interesting properties of the set of partitions of integers for which the (nonzero) multiplicities of the parts are all different. We refer to these as Wilf partitions. Using f(n) to denote the number of Wilf partitions, we establish lead-order asymptotics for ln f(n).

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Asymptotic Rational Approximation To Pi: Solution of an “Unsolved Problem” Posed By Herbert Wilf

The webpage of Herbert Wilf describes eight Unsolved Problems. Here, we completely resolve the third of these eight problems. The task seems innocent: find the first term of the asymptotic behavior of the coefficients of an ordinary generating function, whose coefficients naturally yield rational approximations to π. Upon closer examination, however, the analysis is fraught with difficulties. F...

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Dancing at gunpoint . A review of Herbert Gintis ’ s

Dancing at gunpoint. A review of Herbert Gintis's The bounds of reason: game theory and the unification of the behavioral sciences. The bounds of reason seeks to accomplish many things. It introduces epistemic game theory, discusses other-regarding preferences in games, offers an evolutionary model of property rights, and proposes a plan to unify the behavioural sciences. Most notably, it is a ...

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ژورنال

عنوان ژورنال: Notices of the American Mathematical Society

سال: 2015

ISSN: 0002-9920,1088-9477

DOI: 10.1090/noti1247