Results 51 to 60 of about 101,104 (278)

Inherently Disordered Auxetic Metamaterials

Advanced Science, EarlyView.
Inherently disordered auxetic metamaterials based on random chiral Delaunay triangulations are designed and investigated using numerical simulations and experimental tests. These disordered frameworks exhibit orthotropic behavior and a large negative Poisson's ratio (ca.
Matteo Montanari, Reza Moghimimonfared, Andrea Spaggiari, Luke Mizzi   +3 more
wiley   +1 more source

On Certain Matrices of Bernoulli Numbers

Abstract and Applied Analysis, 2014
In this work we compute the determinant and inverse matrices for a certain symmetric matrix of Rayleigh sums. As a special case we also obtain the determinants and inverses for the matrices of the Bernoulli numbers and related numbers.
Ruiming Zhang, Li-Chen Chen
doaj   +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.
openaire   +3 more sources

INB3P: A Multi‐Modal and Interpretable Co‐Attention Framework Integrating Property‐Aware Explanations and Memory‐Bank Contrastive Fusion for Blood–Brain Barrier Penetrating Peptide Discovery

Advanced Science, EarlyView.
INB3P is a multimodal framework for blood–brain barrier‐penetrating peptide prediction under extreme data scarcity and class imbalance. By combining physicochemical‐guided augmentation, sequence–structure co‐attention, and imbalance‐aware optimization, it improves predictive performance and interpretability.
Jingwei Lv, Qianyang Wu, Jian Liu, Binlu Yang, Yuanhao Li, Junlin Xu, Yajie Meng, Leyi Wei, Zilong Zhang, Quan Zou, Xiulai Li, Feifei Cui   +11 more
wiley   +1 more source

q-Riemann zeta function

International Journal of Mathematics and Mathematical Sciences, 2004
We consider the modified q-analogue of Riemann zeta function which is defined by ζq(s)=∑n=1∞(qn(s−1)/[n]s ...
Taekyun Kim
doaj   +1 more source

On hypergeometric Bernoulli numbers and polynomials [PDF]

, 2015
In this note, we shall provide several properties of hypergeometric Bernoulli numbers and polynomials, including sums of products identity, differential equations and recurrence formulas.Comment: 12 ...
Hu, Su, Kim, Min-Soo
core  

Graphene‐Skinned Alumina Fiber: Continuously Scalable Fabrication and Its Electrothermal Application in Fiber‐Reinforced Polymer Composites

Advanced Science, EarlyView.
Graphene‐skinned alumina fiber (GAF) is a new composite with graphene conformally grown on individual alumina fibers via chemical vapor deposition (CVD). GAF's dynamic, continuous and scalable production is achieved by using a home‐made roll‐to‐roll (RTR) CVD system featuring integrated degumming and growth chambers. GAF possesses tunable conductivity,
Xiaobai Wang, Wenjing Jiang, Jingnan Wang, Yuejie Zhao, Enshan Liu, Fushun Liang, Yixin Zhang, Qingqing Liu, Kangyi Zheng, Yuyao Yang, Fan Yang, Xiao Jiang, Yue Qi, Zhongfan Liu   +13 more
wiley   +1 more source

Some new identities on the twisted carlitz's q -bernoulli numbers and q -bernstein polynomials

Journal of Inequalities and Applications, 2011
In this paper, we consider the twisted Carlitz's q-Bernoulli numbers using p-adic q-integral on ℤ p . From the construction of the twisted Carlitz's q-Bernoulli numbers, we investigate some properties for the twisted Carlitz's q-Bernoulli numbers ...
Kim Taekyun, Kim Young-Hee, Lee Byungje, Jang Lee-Chae   +3 more
doaj  

A Note on the (ℎ,𝑞)-Extension of Bernoulli Numbers and Bernoulli Polynomials

Discrete Dynamics in Nature and Society, 2010
We observe the behavior of roots of the (ℎ,𝑞)-extension of Bernoulli polynomials 𝐵(ℎ)𝑛,𝑞(𝑥). By means of numerical experiments, we demonstrate a remarkably regular structure of the complex roots of the q-extension of Bernoulli polynomials 𝐵(ℎ)𝑛,𝑞(𝑥). The
C. S. Ryoo, T. Kim
doaj   +1 more source

PAIR: Reconstructing Single‐Cell Open‐Chromatin Landscapes for Transcription Factor Regulome Mapping

Advanced Science, EarlyView.
scATAC‐seq analysis is often constrained by limited sequencing depth, extreme sparsity, and pervasive technical missingness. PAIR is a probabilistic framework that restores scATAC‐seq accessibility profiles by directly modeling the native cell–peak bipartite structure of chromatin accessibility.
Yanchi Su, Qi Qi, Yi Fan, Yubo Wang, Gaoyang Hao, Ka‐Chun Wong, Yunhe Wang, Xiangtao Li   +7 more
wiley   +1 more source