Results 111 to 120 of about 2,081 (228)
Transformation Discriminant Analysis for Constructing Optimal Biomarker Combinations
Statistics in Medicine, Volume 45, Issue 15-17, July 2026.ABSTRACT Accurate diagnostic tests are essential for effective screening and treatment. However, individual biomarkers often fail to provide sufficient diagnostic accuracy, as they typically capture only one aspect of the complex disease process. Combining multiple biomarkers, each capturing a distinct mechanism, can help construct more informative ...
Ainesh Sewak +2 more
wiley +1 more source
Arithmetic Properties of Bernoulli–Padé Numbers and Polynomials
Journal of Number Theory, 2002 Let \(r,s\) be nonnegative integers. The authors define rational numbers \(B_n^{(r,s)}\), the \(n\)th Bernoulli-Padé numbers of order \((r,s)\), by the formula \[ \frac{(-1)^sr!s!t^{r+s+1}}{(r+s)!(r+s+1)!(Q^{(r,s)}(t)e^t- P^{(r,s)}(t))} = \sum_{n=0}^\infty B_n^{(r,s)}\frac{t^n}{n!}, \] where \(P^{(r,s)}(t)\) and \(Q^{(r,s)}(t)\) are polynomials (given ...
Dilcher, Karl, Louise, Louise
openaire +2 more sources
Some Identities of the Higher-Order Type 2 Bernoulli Numbers and Polynomials of the Second Kind
Computer Modeling in Engineering & Sciences, 2021 Taekyun Kim +4 more
semanticscholar +1 more source
New approach to the complete sum of products of the twisted (h, q)-Bernoulli numbers and polynomials
, 2007 In this paper, by using q-Volkenborn integral[10], the first author[25] constructed new generating functions of the new twisted (h, q)-Bernoulli polynomials and numbers. We define higher-order twisted (h, q)-Bernoulli polynomials and numbers. Using these
Y. Simsek, V. Kurt, Daeyeoul Kim
semanticscholar +1 more source
Statistics in Medicine, Volume 45, Issue 15-17, July 2026.ABSTRACT Background Weighting methods are widely used for confounding adjustment in observational studies, but their finite‐sample behavior depends on implementation choices and empirical overlap. We compare IPTW, just‐ and over‐identified covariate balancing propensity score (CBPS), CBPS by tailored‐loss function (CBPS‐TLF), energy balancing (EB), and
Etienne Peyrot +2 more
wiley +1 more source
ON RECURRENCE RELATIONS FOR BERNOULLI POLYNOMIALS AND NUMBERS
Facta Universitatis, Series: Mathematics and InformaticsIn this work we connect Bernoulli numbers and polynomials to Mersenne numbers via recurrence relations. We find two explicit formulas of Bernoulli numbers by means of Mersenne numbers different from those given by F. Qi and X. Y. Chen et al. To end with other interesting relationships, which serve as bridges between the Bernoulli polynomials and ...
openaire +1 more source
Tectonics, Volume 45, Issue 7, July 2026.Abstract The Gaggiano High, buried beneath the sediments of the Western Po Plain (northern Italy), represents one of the few examples of Mesozoic structural highs largely preserved within a foreland–foredeep system. Unlike the adjacent Lacchiarella Basin, which underwent strong positive inversion during the Neogene, the Gaggiano High experienced only ...
M. Mercuri +7 more
wiley +1 more source
A new construction on the
Advances in Difference Equations, 2011 This paper performs a further investigation on the q-Bernoulli polynomials and numbers given by Açikgöz et al. (Adv. Differ. Equ. 2010, 9, Article ID 951764) some incorrect properties are revised.
Bayad Abdelmejid +4 more
doaj
Explicit Formulas Involving -Euler Numbers and Polynomials
Abstract and Applied Analysis, 2012 We deal with -Euler numbers and -Bernoulli numbers. We derive some interesting relations for -Euler numbers and polynomials by using their generating function and derivative operator.
Serkan Araci +2 more
doaj +1 more source
Shaped electrodes for adaptive X‐ray optics
Journal of Synchrotron Radiation, Volume 33, Issue 4, Page 961-967, July 2026.For adaptive X‐ray optics on high‐performance beamline optical systems, we describe an approach to mirror figure and slope control using patterned, shaped electrodes to control the local curvature on a lithium niobate substrate from a single applied voltage. Longitudinally continuous electrode patterns achieve target shapes without discontinuities, and
Kenneth A. Goldberg +2 more
wiley +1 more source