Results 71 to 80 of about 82,329 (274)

Atomic‐Scale Insights into Yttrium‐Induced Grain Boundary Structure Modification in Al2O3

Advanced Science, EarlyView.
Using advanced STEM characterization combined with NNP‐based MCMD calculations, it is revealed that Y segregation at ∑13 Al2O3 GB involves not only simple substitution of Y for Al atoms but also structural adaptation with a change in GB atomic density, leading to minimized excess volume and lowest GB energy.
Jingyuan Yan, Tatsuya Yokoi, Yuuki Nakano, Shun Kondo, Bin Feng, Naoya Shibata, Katsuyuki Matsunaga, Yuichi Ikuhara   +7 more
wiley   +1 more source

Some Bivariate Smooth Compactly Supported Tight Framelets with Three Generators

Abstract and Applied Analysis, 2013
For any dilation matrix with integer entries and , we construct a family of smooth compactly supported tight wavelet frames with three generators in .
A. San Antolín, R. A. Zalik
doaj   +1 more source

On subgroups product graph of finite groups [PDF]

BIO Web of Conferences
This paper explores Subgroup Product Graphs (SPG) in cyclic groups, presenting a Vertex Degrees Formula based on the prime factorization of a positive integer n.
Abd Shakir Jawad, Shelash Hayder B.
doaj   +1 more source

Helix Alignment, Chevrons, and Edge Dislocations in Twist‐Bend Ferroelectric Nematics

Advanced Science, EarlyView.
The recently discovered twist‐bend ferroelectric nematic (NTBF) is the new member of the multiferroic family, representing a fluid with an oblique helicoidal (heliconical) periodic structure of spontaneous electric polarization. The work presents a thorough exploration of the material properties of this phase, how the periodic modulation of ...
Bijaya Basnet, Priyanka Kumari, Sathyanarayana Paladugu, Damian Pociecha, Jakub Karcz, Przemysław Kula, Nataša Vaupotič, Ewa Górecka, Oleg D Lavrentovich   +8 more
wiley   +1 more source

De Novo Multi‐Mechanism Antimicrobial Peptide Design via Multimodal Deep Learning

Advanced Science, EarlyView.
Current AI‐driven peptide discovery often overlooks complex structural data. This study presents M3‐CAD, a generative pipeline that leverages 3D voxel coloring and a massive database of over 12 000 peptides to capture nuanced physicochemical contexts.
Xiaojuan Li, Haifan Gong, Yue Wang, Yinuo Zhao, Lixiang Li, Peijing Bao, Qingzhou Kong, Jialu Fu, Boyao Wan, Yumeng Zhang, Jinghui Zhang, Jiekun Ni, Zhongxue Han, Xueping Nan, Kunping Ju, Longfei Sun, Yuerui Ma, Huijun Chang, Mengqi Zheng, Yanbo Yu, Xiaoyun Yang, Xiuli Zuo, Haina Wang, Yanqing Li   +23 more
wiley   +1 more source

CRYPTANALYSIS BIOINSPIRED METHODS OF ASYMMETRIC KEY ON THE BASIS OF COMPOSITE NUMBER FACTORIZATION

Advanced Engineering Research, 2011
The application of the bioinspired methods for handling the cryptanalysis problem of the asymmetric encryption algorithms on the basis of the composite number factorization is considered.
Alexander S. Sergeyev, Oleg P. Tretyakov,, Andrey E. Vasilyev, Yury O. Chernyshev   +3 more
doaj  

Factoring Integers with Elliptic Curves

The Annals of Mathematics, 1987
Summary: This paper is devoted to the description and analysis of a new algorithm to factor positive integers. It depends on the use of elliptic curves. The new method is obtained from \textit{J. M. Pollard}'s \(p-1\)-method [Proc. Camb. Philos. Soc. 76, 521--528 (1974; Zbl 0294.10005)] by replacing the multiplicative group by the group of points on a ...
openaire   +5 more sources

A Perspective on Interactive Theorem Provers in Physics

Advanced Science, EarlyView.
Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley   +1 more source

Solvability of certain exponential Lebesgue-Nagell equations 𝑥 2 + 𝑝 𝑚 = 𝑦 [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2023
In this article, we first investigate the exponential Lebesgue-Nagell equation as shown in the title. Eventually, we can establish a necessary and sufficient criterion for having an integer solution to such an equation under the conditions that 𝑝 ≡ 3 ...
Patcharee Wongsason, Sawian Jaidee
doaj  

Photon‐Sphere Modes in Curved Optical Microcavities: A Black‐Hole Analogue Laser

Advanced Science, EarlyView.
An optical analogue of a Schwarzschild black hole is realized using curved microcavities that preserve light‐like geodesics. A new family of laser modes confined around the photon sphere is identified alongside conventional whispering‐gallery modes. Analytical theory, numerical simulations, and experiments reveal curvature‐induced confinement, enabling
Chenni Xu, Aswathy Sundaresan, Nazire‐Begüm Kazkal, Clement Lafargue, Lior Zarfaty, Li‐Gang Wang, Ofek Birnholtz, Dominique Decanini, Melanie Lebental, Patrick Sebbah   +9 more
wiley   +1 more source