Results 61 to 70 of about 2,443 (266)
Advanced Science, EarlyView.We introduce AutomataGPT, a generative pretrained transformer (GPT) trained on synthetic spatiotemporal data from 2D cellular automata to learn symbolic rules. Demonstrating strong performance on both forward and inverse tasks, AutomataGPT establishes a scalable, domain‐agnostic framework for interpretable modeling, paving the way for future ...
Jaime A. Berkovich +2 more
wiley +1 more source
On commutativity of prime and semiprime rings with generalized derivations
Ratio Mathematica, 2020 Let $R$ be a prime ring, extended centroid $C$ and $m, n, k \geq1$ are fixed integers. If $R$ admits a generalized derivation $F$ associated with a derivation $d$ such that $(F(x)\circ y)^{m}+(x\circ d(y))^{n}=0$ or $(F(x)\circ_{m} y)^{k} + x\circ_{n} d ...
MD Hamidur Rahaman
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Consensus Formation and Change are Enhanced by Neutrality
Advanced Science, EarlyView.Neutral agents are shown to enhance both the formation and overturning of consensus in collective decision‐making. A general mathematical model and experiments with locusts and humans reveal that neutrality enables robust consensus via simple interactions and accelerates consensus change by reducing effective population size.
Andrei Sontag +3 more
wiley +1 more source
Secret sharing in a special linear group
InformatikaObjectives. The problem of developing the mathematical foundations of modular secret sharing in a special linear group over the ring of integers is being solved.The relevance of the problem is reduced to the fact that a large number of requirements are ...
V. I. Yanchevskiĭ +2 more
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Complete residue systems in the ring of matrices of rational integers
International Journal of Mathematics and Mathematical Sciences, 1978 This paper deals with the characterizations of the complete residue system mod. G, where G is any n×n matrix, in the ring of n×n matrices.
Jau-Shyong Shiue, Chie-Ping Hwang
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Certifying Rings of Integers in Number Fields
Proceedings of the 14th ACM SIGPLAN International Conference on Certified Programs and Proofs14 pages.
Anne Baanen +2 more
openaire +3 more sources
Lambda actions of rings of integers
, 2011 This preprint is a preliminary version dating from 2006. We are making it available in this form because some people would like to cite it now.
Borger, James, de Smit, Bart
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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 +23 more
wiley +1 more source
A variant of the large sieve inequality with explicit constants
Journal of Mathematical Cryptology, 2020 We give an effective version with explicit constants of the large sieve inequality for imaginary quadratic fields. Explicit results of this kind are useful for estimating the computational complexity of algorithms which generate elements, whose norm is a
Grześkowiak Maciej
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Generalized rings of integer-valued polynomials
Journal of Number Theory, 2012 Let us first recall the definition of the classical ring of integer-valued polynomials \(\mathrm{Int}(\mathbb{Z})=\{f(X)\in\mathbb{Q}[X];f(\mathbb{Z})\) \(\subseteq \mathbb{Z}\}\). In the literature, many generalizations are done where elements of \(\mathbb{Q}[X]\) act on sets such as rings of algebraic integers or the ring \(M_n(\mathbb{Z})\) of \(n ...
Loper, K. Alan, Werner, Nicholas J.
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