Results 71 to 80 of about 106,424 (299)

Additive Cellular Automata and Volume Growth

Entropy, 2000
: A class of dynamical systems associated to rings of S-integers in rational function fields is described. General results about these systems give a rather complete description of the well-known dynamics in one-dimensional additive cellular automata ...
Thomas B. Ward
doaj   +1 more source

Unlocking the Power of Quercetin‐Encapsulated Mesoporous Bioactive Glass Nanoparticles: A Multifunctional Approach to Bone Regeneration

Advanced Engineering Materials, EarlyView.
Mesoporous bioactive glass nanoparticles (MBGNs) are investigated for bone regeneration given their remarkable structural and functional properties. MBGNs are functionalized with Mn and Cu and incorporated with quercetin, a natural flavonoid exhibiting antioxidant, anti‐inflammatory, and antimicrobial properties.
Giovanni Lo Bello, Qaisar Nawaz, Pier Francesco Ferrari, Laura Pastorino, Roberto Raiteri, Aldo R. Boccaccini   +5 more
wiley   +1 more source

On the class of square Petrie matrices induced by cyclic permutations

International Journal of Mathematics and Mathematical Sciences, 2004
Let n≥2 be an integer and let P={1,2,…,n,n+1}. Let Zp denote the finite field {0,1,2,…,p−1}, where p≥2 is a prime. Then every map σ on P determines a real n×n Petrie matrix Aσ which is known to contain information on the dynamical properties such as ...
Bau-Sen Du
doaj   +1 more source

A unified Witten-Reshetikhin-Turaev invariant for integral homology spheres

, 2006
We construct an invariant J_M of integral homology spheres M with values in a completion \hat{Z[q]} of the polynomial ring Z[q] such that the evaluation at each root of unity \zeta gives the the SU(2) Witten-Reshetikhin-Turaev invariant \tau_\zeta(M) of ...
A. Kricker, D. Bar-Natan, E. Witten, G. Masbaum, G. Masbaum, G. Masbaum, H. Murakami, H. Murakami, H. Murakami, H.C. Lee, J. Hoste, J. Murakami, K. Habiro, K. Habiro, K. Habiro, K. Habiro, K. Habiro, K. Habiro, K. Hikami, K. Hikami, K. Hikami, Kazuo Habiro, L. Crane, L. Kauffman, L. Rozansky, L. Rozansky, L.H. Kauffman, M. Goussarov, N. Koblitz, N. Reshetikhin, N.Y. Reshetikhin, P.M. Gilmer, P.M. Gilmer, P.M. Melvin, R. Fenn, R. Kirby, R. Kirby, R. Kirby, R. Lawrence, R. Lawrence, R.J. Lawrence, R.J. Lawrence, R.J. Lawrence, R.J. Lawrence, R.M. Kashaev, S. Garoufalidis, S. Garoufalidis, S. Majid, S. Majid, T. Kerler, T. Kerler, T. Ohtsuki, T. Ohtsuki, T. Ohtsuki, T. Ohtsuki, T. Ohtsuki, T. Takata, T.D. Cochran, T.T.Q. Le, T.T.Q. Le, T.T.Q. Le, T.T.Q. Le, V. Huynh, V.F.R. Jones, V.F.R. Jones, X. Lin, X.-S. Lin, Y. Akutsu   +67 more
core   +2 more sources

The Extension of the Riemann’s Zeta Function

International Journal of Basic Sciences and Applied Computing
In mathematics, the search for exact formulas giving all the prime numbers, certain families of prime numbers or the n-th prime number has generally proved to be vain, which has led to contenting oneself with approximate formulas [8]. The purpose of this
M. Sghiar
semanticscholar   +1 more source

New progress on the zeta function: From old conjectures to a major breakthrough

Proceedings of the National Academy of Sciences of the United States of America, 2019
The zeta function ζ ( s ) today is the oldest and most important tool to study the distribution of prime numbers and is the simplest example of a whole class of similar functions, equally important for understanding the deepest problems of number theory.
E. Bombieri
semanticscholar   +1 more source

Heterostructure‐Specific Toughening Mechanisms in Metallic Laminates

Advanced Engineering Materials, EarlyView.
This study highlights how various aspects of the heterostructural design of metallic laminates can be specifically tailored to achieve improved fracture resistance for damage‐tolerant designs of cyclically stressed components. Based on results from in situ fatigue crack growth tests, a comprehensive overview of the formation and development of ...
Philip Manuel Pohl, Matthias Mai, Lea Kölpin, Dorothea Matschkal, Mathias Göken, Heinz Werner Höppel   +5 more
wiley   +1 more source

Upper bound for the second and third Hankel determinants of analytic functions associated with the error function and q-convolution combination

Journal of Inequalities and Applications
Recently, El-Deeb and Cotîrlă (Mathematics 11:11234834, 2023) used the error function together with a q-convolution to introduce a new operator. By means of this operator the following class R α , ϒ λ , q ( δ , η ) $\mathcal{R}_{\alpha ,\Upsilon ...
Hari M. Srivastava, Daniel Breaz, Alhanouf Alburaikan, Sheza M. El-Deeb   +3 more
doaj   +1 more source

Stabilized Intermediate Phase Via Pseudo‐Halide Anions Toward Highly Efficient and Light‐Soaking Stable Perovskite Solar Cells

Advanced Functional Materials, Volume 35, Issue 12, March 18, 2025.
The formate pseudo‐halide anion is strategically introduced at the buried interface to stabilize the intermediate phases formed during perovskite crystallization. The controlled crystallization enhances crystallinity and alleviates tensile strain, eliminating residual PbI2 near the buried interface.
Jongdeuk Seo, Yun Seop Shin, Dong Gyu Lee, Jaehwi Lee, Jina Roe, Jung Geon Son, Woojin Lee, Yeonjeong Lee, Dongmin Lee, Ji Won Song, Tae Kyung Lee, Dong Suk Kim, Jin Young Kim   +12 more
wiley   +1 more source

Photothermal Hydrogel with Mn3O4 Nanoparticles Alleviates Intervertebral Disc Degeneration by Scavenging ROS and Regulating Extracellular Matrix Metabolism

Advanced Functional Materials, EarlyView.
The MPTT‐nanozyme‐hydrogel system (Mn3O4@ChS‐HA) provides a multifunctional therapeutic strategy for intervertebral disc degeneration (IVDD), effectively targeting oxidative stress and enhancing AF repair by restoring extracellular matrix (ECM) and redox homeostasis.
Yangyang Chen, Chan Xue, Feifei Ni, Binwu Hu, Miaoheng Yan, He Zhang, Yuxiang Hu, Xiaoyao Peng, Guangfang Li, Yu Han, Hongjian Liu, Zengwu Shao, Qin Wang, Yulong Wei   +13 more
wiley   +1 more source