نتایج جستجو برای: log series

تعداد نتایج: 427006  

Journal: :Annals of Probability 2021

We show that the modified log-Sobolev constant for a natural Markov chain which converges to an $r$-homogeneous strongly log-concave distribution is at least $1/r$. Applications include sharp mixing time bound bases-exchange walk matroids, and concentration Lipschitz functions over these distributions.

Journal: :Math. Comput. 1998
Richard E. Crandall

We show that the multiple zeta sum: ζ(s1, s2, ..., sd) = ∑ n1>n2>...>nd 1 n1 1 n s2 2 ...n sd d , for positive integers si with s1 > 1, can always be written as a finite sum of products of rapidly convergent series. Perhaps surprisingly, one may develop fast summation algorithms of such efficiency that the overall complexity can be brought down essentially to that of one-dimensional summation. ...

2008
Olivier Mathieu

Quickly converging series are given to compute polyzeta numbers ζ(r1, . . . , rk). The formulas involve an intricate combination of (generalized) polylogarithms at 1/2. However, the combinatoric has a very simple geometric interpretation: it corresponds with the map p 7→ p on a certain symmetric space P . Introduction: Let k ≥ 1. For a k-uple (r1, r2, . . . , rk) of positive integers, set ζ(r1,...

2008
Olivier Mathieu

Quickly converging series are given to compute polyzeta numbers ζ(r1, . . . , rk). The formulas involve an intricate combination of (generalized) polylogarithms at 1/2. However, the combinatoric has a very simple geometric interpretation: it corresponds with the map p 7→ p on a certain symmetric space P . Introduction: Let k ≥ 1. For a k-uple (r1, r2, . . . , rk) of positive integers, set ζ(r1,...

Journal: :SIAM J. Comput. 1990
Alberto Apostolico Mikhail J. Atallah Lawrence L. Larmore Scott McFaddin

The string editing problem for input strings z and y consists of transforming z into y by performing a series of weighted edit operations on z of overall minimum cost. An edit operation on z can be the deletion of a symbol from z, the insertion of a symbol in z or the substitution of a symbol of z with another symbol. This problem has a well known O( Izllvl) time sequential solution [25]. We gi...

2013
Dolf Trieschnigg Dong Nguyen Theo Meder

In this work we report on a transaction log analysis of the Dutch Folktale Database, an online repository of extensively annotated folktales ranging from old fairy tales to recent urban legends, written in (old) Dutch, Frisian and a variety of Dutch dialects. We observed that users have a preference for subgenres within folktales such as traditional legends and urban legends and prefer stories ...

Journal: :Biostatistics 2004
Francesca Dominici Antonella Zanobetti Scott L Zeger Joel Schwartz Jonathan M Samet

In this paper we develop a hierarchical bivariate time series model to characterize the relationship between particulate matter less than 10 microns in aerodynamic diameter (PM10) and both mortality and hospital admissions for cardiovascular diseases. The model is applied to time series data on mortality and morbidity for 10 metropolitan areas in the United States from 1986 to 1993. We postulat...

2012
Shinichi MOCHIZUKI Shinichi Mochizuki SHINICHI MOCHIZUKI

The present paper forms the fourth and final paper in a series of papers concerning “inter-universal Teichmüller theory”. In the first three papers of the series, we introduced and studied the theory surrounding the log-theta-lattice, a highly non-commutative two-dimensional diagram of “miniature models of conventional scheme theory”, called Θ±ellNF-Hodge theaters, that were associated, in the ...

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه تربیت مدرس 1379

در این پایان نامه که مطالب آن با استفاده از دو مرجع اصلی ‏‎[6]‎‏ و ‏‎[7]‎‏ توصیف شده است، خاصیت حذف سور را برای میدان نمایی حقیقی با توابع تحلیلی تحدید یافته ‏‎(r )‎‏ در زبان بسط یافته توسط ‏‎log‎‏ ثابت کرده و از آن، ت - کمینه بودن ‏‎(r )‎‏ را نتیجه می گیریم. سپس مدلی نااستاندارد برای ‏‎th(r )‎‏ ارائه می دهیم و با استفاده از خواص این مدل، به سوالی از هاردی پاسخ می دهیم؛ مبنی بر این که وارون ترک...

Journal: :bulletin of the iranian mathematical society 2011
j. jakseti j. pecaric

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