Results 61 to 70 of about 47,072 (207)
Analysis of samples from finite population
Lietuvos Matematikos Rinkinys, 2008 This paper deals with asymptotic properties of probabilitydistributionsof sample statistics when samples are selected from finite populations.These properties also were analysed by P. Erdos, A. Rényi [3] and J. Hájek [4].
Jurgita Turkuvienė +1 more
doaj +1 more source
A general family of congruences for Bernoulli numbers
, 2017 We prove a general family of congruences for Bernoulli numbers whose index is a polynomial function of a prime, modulo a power of that prime. Our family generalizes many known results, including the von Staudt--Clausen theorem and Kummer's congruence ...
Rosen, Julian
core +1 more source
q-Bernoulli numbers and polynomials
Duke Mathematical Journal, 1948 Verf. definiert die \(q\)-Bernoullischen Zahlen \(\beta_m\) durch \(\beta_0=1\), \(\beta_1=-1/(q+1)\) und die symboli\-sche Rekursionsformel \(q(q\beta+1)^m=0\) \((m>1)\), wobei \(\beta^i\) nach Entwicklung durch \(\beta_i\) zu ersetzen ist. Die Zahlen \(\beta_m\) stimmen für \(q=1\) mit den gewöhnlichen Bernoullischen Zahlen überein.
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Bernoulli Polynomials Method for Solving Integral Equations with Singular Kernel
مجلة بغداد للعلومThere is always an interest in an effective technique to generate a numerical solution of integral equations with singular or weakly singular kernels more precisely because numerical methods have limitations.
Muna M. Mustafa, Heba A. Abd-Alrazak
doaj +1 more source
Identity for generalized Bernoulli polynomials
, 2020 In this paper, we establish an identity for Bernoulli's generalized polynomials. We deduce generalizations for many relations involving classical Bernoulli numbers or polynomials. In particular, we generalize a recent Gessel identity.
Chellal, Redha +2 more
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PUMAA: Establishing a protocol for utilizing machine learning in forensic anthropological analyses
Journal of Forensic Sciences, EarlyView.Abstract The use of machine learning (ML) models in forensic anthropology (FA) has increased in the last half decade; however, there is a lack of a standardized protocol on how to curate, use, and assess ML models. We introduce PUMAA (A Protocol for Utilizing Machine Learning in Forensic Anthropological Analyses), which includes a flowchart and a ...
Eman Faisal, Tracy L. Rogers
wiley +1 more source
Identities of symmetry for Bernoulli polynomials and power sums
Journal of Inequalities and Applications, 2020 Identities of symmetry in two variables for Bernoulli polynomials and power sums had been investigated by considering suitable symmetric identities. T.
Taekyun Kim +3 more
doaj +1 more source
Addiction, Volume 120, Issue 4, Page 745-755, April 2025.Abstract Aims The aim of this study was to identify longitudinal trajectories of medication for opioid use disorder (MOUD) use throughout 1 year following MOUD initiation and to examine the association of trajectory membership with HIV testing among people who inject drugs in India.
Allison M. McFall +8 more
wiley +1 more source
Spacings and pair correlations for finite Bernoulli convolutions
, 2008 We consider finite Bernoulli convolutions with a parameter $1/2 < r < 1$ supported on a discrete point set, generically of size $2^N$. These sequences are uniformly distributed with respect to the infinite Bernoulli convolution measure $\nu_r$, as $N ...
Boris Solomyak +9 more
core +2 more sources
Generalizations of Bernoulli numbers and polynomials [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 The concepts of Bernoulli numbers Bn, Bernoulli polynomials Bn(x), and the generalized Bernoulli numbers Bn(a, b) are generalized to the one Bn(x; a, b, c) which is called the generalized Bernoulli polynomials depending on three positive real parameters. Numerous properties of these polynomials and some relationships between Bn, Bn(x), Bn(a, b), and Bn(
Qiu-Ming Luo +3 more
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