Results 91 to 100 of about 16,932,162 (348)

Short Principal Ideal Problem in multicubic fields

Journal of Mathematical Cryptology, 2020
One family of candidates to build a post-quantum cryptosystem upon relies on euclidean lattices. In order to make such cryptosystems more efficient, one can consider special lattices with an additional algebraic structure such as ideal lattices.
Lesavourey Andrea, Plantard Thomas, Susilo Willy   +2 more
doaj   +1 more source

Algebraic number fields

, 1973
Algebraic number ...
Janusz, Gerald J
core  

New directions in algebraic statistics: Three challenges from 2023 [PDF]

In the last quarter of a century, algebraic statistics has established itself as an expanding field which uses multilinear algebra, commutative algebra, computational algebra, geometry, and combinatorics to tackle problems in mathematical statistics ...
Bakenhus, Miles, Gross, Elizabeth, Karwa, Vishesh, Hill, Max, Curiel, Mark, Lyu, Hanbaek, Petrović, Sonja, Rodriguez, Jose Israel, Kagy, Bryson, Gu, Yuqi, Alexandr, Yulia, Johnson, Joseph, Li, Jiayi, Deshpande, Sameer K., Deshpande, Sameer K.,, Petrović, Sonja,, Lyu, Hanbaek,, Gross, Elizabeth,, Alexandr, Yulia,, Bakenhus, Miles,, Karwa, Vishesh,, Rodriguez, Jose Israel,, Li, Jiayi,, Johnson, Joseph,, Kagy, Bryson,, Curiel, Maize,, Hill, Max,, Gu, Yuqi,   +27 more
core   +1 more source

Overcoming the Nyquist Limit in Molecular Hyperspectral Imaging by Reinforcement Learning

Advanced Intelligent Discovery, EarlyView.
Explorative spectral acquisition guide automatically selects informative spectral bands to optimize downstream tasks, outperforming full‐spectrum acquisition. The selected hyperspectral data are used for tasks such as unmixing and segmentation. BandOptiNet encodes selection states and outputs optimal bands to guide spectral acquisition. Recent advances
Xiaobin Tang, Yongqing Zhang, Xinyu Deng, Hyeon Jeong Lee, Delong Zhang   +4 more
wiley   +1 more source

The structure of the n-th roots of unity in residue rings of prime ideals P over p in algebraic number fields 177 [PDF]

Surveys in Mathematics and its Applications
Let 𝕂 be an algebraic number field and let O𝕂 be its ring of integers. In this paper, we study the structure of incongruent solutions of xn ≡ 1 (mod Pa) in O𝕂, where P is a prime ideal, in order to apply these results to solving xn = 1 over the P-adic ...
Boaz Cohen
doaj  

Algebraic Number Theory

, 2009
Version 3.06 May 28, 2014An algebraic number field is a finite extension of Q; an algebraic number is an element of an algebraic number field. Algebraic number theory studies the arithmetic of algebraic number fields — the ring of integers in the number ...
J. S. Milne
core  

Linear forms at a basis of an algebraic number field

, 2012
It was proved by Cassels and Swinnerton-Dyer that the Littlewood conjecture in simultaneous Diophantine approximation holds for any pair of numbers in a cubic field.
Bernard de Mathan, DE MATHAN, Bernard
core   +1 more source

Artificial Intelligence for Advanced Functional Materials: Progress and Emerging Frontiers

Advanced Intelligent Systems, EarlyView.
Artificial intelligence is transforming the discovery of functional materials by linking synthesis, characterization, simulation, and design in unified workflows. Advances in machine learning, autonomous experimentation, and foundation models are accelerating innovation across energy, electronics, and biomedicine, while revealing new frontiers for ...
Cristiano Malica, Kostya S. Novoselov, Seongmin Kim, Yousung Jung, Silvana Botti, Miguel A. L. Marques, Tigany Zarrouk, Miguel A. Caro, Sanggyu Chong, Michele Ceriotti, Marivi Fernandez‐Serra, Sara Navarro‐Rodriguez, Aakash Ashok Naik, Janine George, Ömer Hasan Omar, Victor Trinquet, Gian‐Marco Rignanese, Andrey Ustyuzhanin, Sonia Conesa‐Boj, Juan Rojo, Minh‐Tuan Dau, Simon M.‐M. Dubois, Jean‐Christophe Charlier, Jose H. Garcia, Romain Gautier, Rachid Laref, Junfeng Qiao, Giovanni Pizzi, Nicola Marzari, Camilla Coletti, Antonio Rossi, Jan‐Lucas Uslu, Chiara Zanardi, Vincenzo Palermo, Wide Hogenhout, Natalia Konchakova, Peter Klein, Tejs Vegge, Stephan Roche   +38 more
wiley   +1 more source

Competitive Equilibria in Semi-Algebraic Economies [PDF]

This paper examines the equilibrium correspondence in Arrow-Debreu exchange economies with semi-algebraic preferences. We show that a generic semi-algebraic exchange economy gives rise to a square system of polynomial equations with finitely many ...
Karl Schmedders, Felix Kuber
core  

Designing Wire Mazes for Replicating Natural Echoes to Study Bat Biosonar Function

Advanced Intelligent Systems, EarlyView.
A validated framework combining efficient physical modeling (multiple scattering model) and deep learning is presented to guide wire‐maze design for bat biosonar studies. This approach rapidly generates large datasets to test acoustic distinguishability among wire arrangements.
Chunlin Jia, Gengkai Hu, Boo Cheong Khoo, Rolf Müller   +3 more
wiley   +1 more source