Results 71 to 80 of about 101,561 (280)
Advanced Science, EarlyView.SpaMode introduces a versatile framework for spatial multi‐omics integration across vertical, horizontal, and mosaic scenarios. By disentangling modality‐invariant and variant features through a mixture‐of‐experts mechanism, it adaptively reconfigures spatially heterogeneous signals.
Xubin Zheng +6 more
wiley +1 more source
A Data‐Driven Inverse Design Methodology for Magnetic Soft Millirobots Navigating in Confined Spaces
Advanced Science, EarlyView.A data‐efficient inverse design framework automates the optimization of magnetic soft millirobots for confined‐space navigation. Integrating a physics‐based Cosserat rod model with Bayesian optimization efficiently identifies high‐performance geometries.
Ziyu Ren +5 more
wiley +1 more source
On the 𝑞-Bernoulli Numbers and Polynomials with Weight 𝜶
Abstract and Applied Analysis, 2011 We present a systemic study of some families of higher-order 𝑞-Bernoulli numbers and polynomials with weight 𝛼. From these studies, we derive some interesting identities on the 𝑞-Bernoulli numbers and polynomials with weight 𝛼.
T. Kim, J. Choi
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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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Advanced Intelligent Discovery, EarlyView.This work introduces a novel framework for identifying non‐small cell lung cancer biomarkers from hundreds of volatile organic compounds in breath, analyzed via gas chromatography‐mass spectrometry. This method integrates generative data augmentation and multi‐view feature selection, providing a stable and accurate solution for biomarker discovery in ...
Guancheng Ren +10 more
wiley +1 more source
A RECURRENCE RELATION FOR BERNOULLI NUMBERS
Bulletin of the Korean Mathematical Society, 2005 Acting on a suggestion of \textit{V. Namias} [Am. Math. Mon. 93, 25--29 (1986; Zbl 0615.05010)] the authors use the multiplication formula for the gamma function to derive the following family of recursions for Bernoulli numbers obtained by \textit{F. T. Howard} [J. Number Theory 52, No.
Can, Mümün, Cenkci, Mehmet, Kurt, Veli
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A Steerable and Expandable Magnetic Aspiration Catheter for Enhanced Aspiration Thrombectomy
Advanced Intelligent Systems, EarlyView.This article presents a novel magnetic aspiration catheter (MAC) that can be both actively steered and undergo distal‐end expansion via externally applied magnetic fields. The MAC facilitates precise branch selection and enhances clot engagement by improving endovascular navigation and aspiration efficiency. Phantom experiments validate its feasibility
Hakjoon Lee +7 more
wiley +1 more source
Известия Иркутского государственного университета: Серия "Математика", 2016 The Bernoulli polynomials for natural x were first considered by J.Berno\-ulli (1713) in connection with the problem of summation of the powers of consecutive positive integers. For arbitrary $x$ these polynomials were studied by L.Euler.
O. Shishkina
doaj
Special Numbers and Polynomials Including Their Generating Functions in Umbral Analysis Methods
Axioms, 2018 In this paper, by applying umbral calculus methods to generating functions for the combinatorial numbers and the Apostol type polynomials and numbers of order k, we derive some identities and relations including the combinatorial numbers, the Apostol ...
Yilmaz Simsek
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Cubic harmonics and Bernoulli numbers
Journal of Combinatorial Theory, Series A, 2012 18 pages, 3 ...
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