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A Finite Difference Approach To Degenerate Bernoulli And Stirling Polynomials
 DISCRETE MATH
, 1992
"... Starting with divided differences of binomial coefficients, a class of multivalued polynomials (three parameters), which includes Bernoulli and Stirling polynomials and various generalizations, is developed. These carry a natural and convenient combinatorial interpretation. Some particular calculati ..."
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Cited by 10 (5 self)
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Starting with divided differences of binomial coefficients, a class of multivalued polynomials (three parameters), which includes Bernoulli and Stirling polynomials and various generalizations, is developed. These carry a natural and convenient combinatorial interpretation. Some particular
High confidence visual recognition of persons by a test of statistical independence
 IEEE Trans. on Pattern Analysis and Machine Intelligence
, 1993
"... Abstruct A method for rapid visual recognition of personal identity is described, based on the failure of a statistical test of independence. The most unique phenotypic feature visible in a person’s face is the detailed texture of each eye’s iris: An estimate of its statistical complexity in a samp ..."
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Cited by 596 (8 self)
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different eyes is passed almost certainly, whereas the same test is failed almost certainly when the compared codes originate from the same eye. The visible texture of a person’s iris in a realtime video image is encoded into a compact sequence of multiscale quadrature 2D Gabor wavelet coefficients
Near Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?
, 2004
"... Suppose we are given a vector f in RN. How many linear measurements do we need to make about f to be able to recover f to within precision ɛ in the Euclidean (ℓ2) metric? Or more exactly, suppose we are interested in a class F of such objects— discrete digital signals, images, etc; how many linear m ..."
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Cited by 1513 (20 self)
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Suppose we are given a vector f in RN. How many linear measurements do we need to make about f to be able to recover f to within precision ɛ in the Euclidean (ℓ2) metric? Or more exactly, suppose we are interested in a class F of such objects— discrete digital signals, images, etc; how many linear
NOTE ON STIRLING POLYNOMIALS
"... Abstract. A large number of sequences of polynomials and numbers have arisen in mathematics. Some of them, for example, Bernoulli polynomials and numbers, have been investigated deeply and widely. Here we aim at presenting certain interesting and (potentially) useful identities involving mainly in ..."
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Abstract. A large number of sequences of polynomials and numbers have arisen in mathematics. Some of them, for example, Bernoulli polynomials and numbers, have been investigated deeply and widely. Here we aim at presenting certain interesting and (potentially) useful identities involving mainly
THE BERNOULLI OPERATOR
, 2014
"... This document explores the Bernoulli operator, giving it a variety of different definitions. In one definition, it is the shift operator acting on infinite strings of binary digits. In another definition, it is the transfer operator (the FrobeniusPerron operator) of the Bernoulli map, also variou ..."
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This document explores the Bernoulli operator, giving it a variety of different definitions. In one definition, it is the shift operator acting on infinite strings of binary digits. In another definition, it is the transfer operator (the FrobeniusPerron operator) of the Bernoulli map, also
ON COMMON ROOTS OF RANDOM BERNOULLI POLYNOMIALS
"... ABSTRACT. We prove that with high probability, d+ 1 random Bernoulli polynomials in d variables of degree n (n→∞) do not possess a common root. 1. ..."
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Cited by 2 (1 self)
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ABSTRACT. We prove that with high probability, d+ 1 random Bernoulli polynomials in d variables of degree n (n→∞) do not possess a common root. 1.
A probabilistic approach to qpolynomial coefficients, Euler and Stirling numbers I
 Matematicheskaya Fizika, Analiz, Geometriya 11 (4) (2004), 434 – 448. MR2114004 (2005h:05019
"... It is known that Bernoulli scheme of independent trials with two outcomes is connected with the binomial coefficients. The aim of this paper is to indicate stochastic processes which are connected with the qpolynomial coefficients (in particular, with the qbinomial coefficients, or the Gaussian po ..."
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Cited by 2 (0 self)
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polynomials), Stirling numbers of the first and the second kind, and Euler numbers in a natural way. A probabilistic approach allows us to give very simple proofs of some identities for these coefficients.
Discrete orthogonal polynomial ensembles and the Plancherel measure
, 2001
"... We consider discrete orthogonal polynomial ensembles which are discrete analogues of the orthogonal polynomial ensembles in random matrix theory. These ensembles occur in certain problems in combinatorial probability and can be thought of as probability measures on partitions. The Meixner ensemble i ..."
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Cited by 194 (10 self)
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We consider discrete orthogonal polynomial ensembles which are discrete analogues of the orthogonal polynomial ensembles in random matrix theory. These ensembles occur in certain problems in combinatorial probability and can be thought of as probability measures on partitions. The Meixner ensemble
Bernoulli Polynomials Old and New: Generalizations and Asymptotics
 CWI Quarterly
, 1995
"... this paper we consider two problems on the generalized Bernoulli polynomials B ..."
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Cited by 3 (0 self)
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this paper we consider two problems on the generalized Bernoulli polynomials B
Results 1  10
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