Results 91 to 100 of about 791,112 (289)

Solution and Hyers-Ulam-Rassias Stability of Generalized Mixed Type Additive-Quadratic Functional Equations in Fuzzy Banach Spaces

Abstract and Applied Analysis, 2012
By using fixed point methods and direct method, we establish the generalized Hyers-Ulam stability of the following additive-quadratic functional equation f(x+ky)+f(x−ky)=f(x+y)+f(x−y)+(2(k+1)/k)f(ky)−2(k+1)f(y) for fixed integers k with k≠0,±1 in fuzzy ...
M. Eshaghi Gordji, H. Azadi Kenary, H. Rezaei, Y. W. Lee, G. H. Kim   +4 more
doaj   +1 more source

ON THE FINITENESS OF LOCAL HOMOLOGY MODULES [PDF]

Journal of Algebraic Systems
Let $R$ be a commutative Noetherian ring and $\mathfrak{a}$ be an ideal of $R$. Suppose $M$ is a finitely generated $R$-module and $N$ is an Artinian $R$-module.
Ali Fathi, Alireza Hajikarimi
doaj   +1 more source

Generalized Concatenated Codes over Gaussian Integers for the McEliece Cryptosystem

, 2021
Code-based cryptography is a promising candidate for post-quantum public-key encryption. The classic McEliece system uses binary Goppa codes, which are known for their good error correction capability.
Freudenberger, Jürgen, Jurgen Freudenberger, Thiers, Johann-Philipp, Johann-Philipp Thiers   +3 more
core   +1 more source

Integrated Multi‐Omics Reveals Cellular States and Microenvironmental Remodeling in Coexisting DCIS and IDC

Advanced Science, EarlyView.
Coexisting DCIS and IDC samples are profiled using spatial transcriptomics, single‐cell RNA sequencing, and single‐cell DNA sequencing. Integrative multi‐omics analysis reveals distinct malignant epithelial and microenvironmental features between DCIS and IDC, which are further validated using Xenium and multiplex immunohistochemistry.
Ning Zhang, Tong Wan, Siyue Zhang, Yunzhen Jiang, Peng Su, Jixin Liu, Zhitong Chen, Jie Hao, Haoyu Wang, Bing Chen, Wenjing Zhao, Lijuan Wang, Tao Xing, Qihuang Zhang, Ulf Schmitz, Zhiyong Ding, Nicola Crosetto, Bingqiang Liu, Qifeng Yang   +18 more
wiley   +1 more source

Enhancing Quasi‐Two‐Dimensional Electronic Structure in Bi2O2Se via Chlorine Substitution

Advanced Science, EarlyView.
We demonstrate chlorine substitution as an effective strategy to transform Bi2O2Se into an exfoliatable van der Waals superlattice. Key electronic band feature, including indirect bandgap, effective mass is well preserved, while the 2D character of the system is sufficiently enhanced.
Yong‐Zhen Jiang, Qi‐Xun Wen, Xiang Xu, Su‐Tao Sun, Feng‐Fan Ren, Zi‐Xuan Zhou, Xing‐Yuan You, Yu‐Cheng Kan, Zheng Zhang, Jie‐Yi Liu, Yu‐Zhou Zhao, Zheng‐Tai Liu, Mao Ye, Shu‐Hua Yao, Jian Zhou, Yan‐Bin Chen, Zhong‐Kai Liu, Yu‐Lin Chen, Yang‐Yang Lv, Cheng Chen   +19 more
wiley   +1 more source

On Generalized Periodic-Like Rings

International Journal of Mathematics and Mathematical Sciences, 2007
Let R be a ring with center Z, Jacobson radical J, and set N of all nilpotent elements. Call R generalized periodic-like if for all x∈R∖(N∪J∪Z) there exist positive integers m, n of opposite parity for which xm−xn∈N∩Z.
Howard E. Bell, Adil Yaqub
doaj   +1 more source

Generalizing the Abundancy of an Integer

, 2018
The abundancy index of a positive integer is the ratio between the sum of its divisors and itself. We generalize previous results on abundancy indices by defining a two-variable abundancy index function as $I(x,n)\colon\mathbb{Z^+}\times\mathbb{Z^+}\to\mathbb{Q}$ where $I(x,n)=\frac{σ_x(n)}{n^x}$.
openaire   +2 more sources

Electronic‐State Programming of Ultrasmall CeO2 Switches H2O2 Activation From Radical to Bio‐Inspired Nonradical 1O2 Generation for Combating Antibiotic Resistance

Advanced Science, EarlyView.
A scalable synthesis of carbon‐supported ultrasmall CeO2 nanoparticles with precisely tunable Ce electron density is reported. Electron‐lean Ce sites activate H2O2 exclusively via a nonradical pathway, enabling efficient HOBr and 1O2 production analogous to bromoperoxidase for contaminant and antibiotic resistance removal.
Bo Yuan, Xinyu Wu, Yin‐Song Liao, Chao Zhao, Zhanping Xiao, Wanqing Dai, Jyh‐Pin Chou, Wenchao Peng, Jian Lin Chen, Pi‐Tai Chou, Yung‐Kang Peng   +10 more
wiley   +1 more source

Generalized Hyers-Ulam Stability of Generalized (𝑁,𝐾)-Derivations

Abstract and Applied Analysis, 2009
Let 3≤𝑛, and 3≤𝑘≤𝑛 be positive integers. Let 𝐴 be an algebra and let 𝑋 be an 𝐴-bimodule. A ℂ-linear mapping 𝑑∶𝐴→𝑋 is called a generalized (𝑛,𝑘)-derivation if there exists a (𝑘−1)-derivation 𝛿∶𝐴→𝑋 such that 𝑑(𝑎1𝑎2⋯𝑎𝑛)=𝛿(𝑎1)𝑎2⋯𝑎𝑛+𝑎1𝛿(𝑎2)𝑎3⋯𝑎𝑛+⋯+𝑎1𝑎2⋯𝑎𝑘−2𝛿(
M. Eshaghi Gordji, J. M. Rassias, N. Ghobadipour   +2 more
doaj   +1 more source

Conformal Reconfigurable Intelligent Surfaces: A Cylindrical Geometry Perspective

Advanced Electronic Materials, EarlyView.
Cylindrical reconfigurable intelligent surfaces are explored for low‐complexity beam steering using one‐bit meta‐atoms. A multi‐level modeling approach, including optimization‐based synthesis, demonstrates that even minimal hardware can support directive scattering.
Filippo Pepe, Ivan Iudice, Giuseppe Castaldi, Marco Di Renzo, Vincenzo Galdi   +4 more
wiley   +1 more source