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О сильной полиномиальной полноте почти всех квазигрупп
Математические заметки. 2022. Т. 111. № 1. С. 8–14.
In the paper, it is proved that almost all quasigroups are strongly polynomially complete, i.e., are not isotopic to quasigroups that are not polynomially complete.
Obsie E. Y., Zhan Y., Liu Y., Engineering Research Express 2026 Article 7
Maintaining plant health is crucial for crop quality, food security, and agricultural productivity. Although deep learning methods have shown strong potential for species, disease, and severity classification, most existing approaches tackle these tasks separately, failing to exploit shared representations and interdependencies among them. Furthermore, the variability of disease symptoms, such as subtle differences in size, ...
Added: October 22, 2026
Lev Pyatko, Sergey Aksenov, Regular and Chaotic Dynamics 2026 Vol. 31 No. 5 P. 794–813
In the circular restricted three-body problem, families of periodic and quasi-periodic orbits exist in the vicinity of the libration points and are of significant interest for practical applications. This work presents a neural network-based algorithm for orbit construction and station-keeping, applicable to both periodic and quasi-periodic orbits near collinear libration points. The method employs a ...
Added: October 19, 2026
Vorontsova T., М.: Академия, 2025.
The textbook has been prepared in accordance with the requirements of the federal state educational standards for secondary vocational education and is intended for studying the professional modules “Information Security in Information and Telecommunication Systems and Networks Using Software and Hardware‑Software Tools, Including Cryptographic Protection Tools” and “Information Security in Automated Systems Using Software and ...
Added: October 19, 2026
Naumov A., Рубцов А. С., Samsonov S. et al., Успехи математических наук 2026 Т. 81 № 4 (490) С. 161–162
Краткое сообщение рассматривает Моментные оценки для стохастической аппроксимации ...
Added: October 17, 2026
Roman Avdeev, Yulia Zaitseva, Mediterranean Journal of Mathematics 2026 Vol. 23 No. 7 Article 224
We provide an infinite series of commutative finite-dimensional Gorenstein local algebras A_n for n ≥ 2. We give an elementary proof that the maximal ideal of every algebra A_n possesses a one-dimensional subspace that is different from the socle and invariant under the automorphism group of A_n. The latter implies that the algebras A_n fail ...
Added: October 17, 2026
Gordin V. A., Efremenko D., Boundary-Layer Meteorology 2026 Vol. 192 No. 51
An inverse problem of reconstructing the turbulent exchange tensor from large archives of observed wind profiles within the Åkerblom–Ekman (A-E) model framework is investigated using high-vertical-resolution radiosonde observations. The reconstructed tensor provides improved agreement between modeled and observed wind profiles compared to classical formulations based on real turbulent exchange coefficient. Instead of the classical A-E ...
Added: October 16, 2026
Kuznetsov A. P., Sedova Y. V., Stankevich N., Chaos, Solitons and Fractals 2026 Vol. 213 No. 12 Article 119309
We analyze the interaction of a quasi-periodic subsystem, in which two-, three-, and four- frequency quasi-periodic oscillations are possible, with a chaotic subsystem. A discrete version is obtained via the Euler scheme from the corresponding flow model. The dynamics of individual subsystems are discussed, including quasi-periodic bifurcations of invariant tori and the occur rence of ...
Added: October 16, 2026
Aleksei Samarin, Nazarenko A., Nazarenko D. et al., Machine Learning and Knowledge Extraction 2026 Vol. 8 No. 10 Article 330
Automated microscopic image analysis is essential for quantitative microbiology, yet manual acquisition and generic recognition models struggle with morphological variability and scene artifacts. We address both ends of this pipeline. First, we present a low-cost, open-source acquisition system, based on an Arduino UNO R3 microcontroller and NEMA 17 stepper motors, that automates focusing, magnification, and ...
Added: October 14, 2026
Parkhomenko V., Kulikova S., Buzmakov A. V., Lobachevskii Journal of Mathematics 2026 Vol. 47 No. 6 P. 2979–2992
The stability of formal concepts and its generalization as robustness are considered in the paper. We use an approximation of stability in the form of Δ-measure for fast calculations. A computationally efficient method for calculating robustness based on subcontexts is presented. We also present a new method to analytically evaluate the number of preimages for ...
Added: October 14, 2026
Kuznetsov A. P., Sedova Y. V., Sataev I. R. et al., Mathematics and Computers in Simulation 2027 Vol. 2 P. 574–592
Universal bifurcation structures on the parameter plane of nonlinear systems, known as shrimps, are discussed. An overview of numerous examples from various fields of science is given. Shrimps are typical for both maps of different dimensions and flows. The varieties of shrimp are discussed and relevant examples are given. The similarity property on the parameter ...
Added: October 14, 2026
Springer, 2026.
This book highlights cutting-edge research in the field of network science, offering scientists, researchers, students and practitioners a unique update on the latest advances in theory and a multitude of applications. It presents the peer-reviewed proceedings of the XIV International Conference on Complex Networks and their Applications (COMPLEX NETWORKS 2025). The carefully selected papers cover ...
Added: October 13, 2026
Springer, 2026.
This book offers a comprehensive overview of the latest research, innovations, and practical applications in the field of sustainability, with a focus on construction materials and their use in building and civil engineering structures. As an outcome of the 3rd International Conference on Sustainability: Developments and Innovations (ICSDI 2026), this book presents a selection of ...
Added: October 13, 2026
Dmitriev A., Kornilov V., Batienkov R., Lecture Notes in Civil Engineering 2026 Vol. 886 P. 249–255
Numerous studies have provided compelling evidence that the probability distribution of avalanche sizes follows a power law, and that 1/f noise is present in the stochastic dynamics of landslides. We present a theoretical explanation of these phenomena within the framework of self-organized criticality theory, proposing a discrete-time model in the form of a sandpile cellular ...
Added: October 13, 2026
Dmitriev A., Shulman I., Lebedev A., Studies in Computational Intelligence 2026 Vol. 1265 P. 266–273
A discrete-time model is presented for the self-organization of the X/Twitter social network to the edge of a phase transition, characterized by avalanche-like propagation of information in the network. The model is based on the analogy between the critical dynamics of the X social network and sandpile cellular automata with Manna rule on the Chung-Lu ...
Added: October 13, 2026
Makarov D. M., Kalikin N., Fashchevsky K. A. et al., Electrochimica Acta 2026 Vol. 579 Article 150159
Machine learning (ML) has become a powerful tool for accelerating the development of carbon-based supercapacitors;
however, most published models assume that a single predictive framework can describe both conventional
porous carbons and hybrid carbon electrodes. Here, we test this assumption using a comprehensive
benchmark dataset and an extended literature-curated dataset enriched with synthesis- and electrolyte-related
descriptors. Three ML algorithms ...
Added: October 13, 2026
Zhang Z., Ilvovsky D., Information Processing and Management 2026 Vol. 63 No. 7
Transformer-based Large Language Models (LLMs) rely on Key-Value (KV) cache to accelerate autoregressive decoding, but memory and compute requirements still grow with context length, limiting deployment on resource-constrained devices. Existing training-free KV cache compression methods mainly rely on attention-driven retention heuristics, which may under preserve structurally informative tokens under tight cache budgets, especially when such ...
Added: October 13, 2026
Galatenko A. V., Галатенко В. В., Панкратьев А. Е., Математика и теоретические компьютерные науки 2024 Т. 2 № 4 С. 35–50
Изучается “типичность” свойств простоты, неаффинности и полиномиальной полноты конечных n-квазигрупп. Показано, что при фиксированном n почти все n-квазигруппы сильно неаффинны, т.е. не изотопны аффинным. Найдено точное значение числа простых, аффинных и одновременно простых и аффинных n-квазигрупп порядка 4. Как следствие, показано, что почти все n-квазигруппы порядка 4 полиномиально полны и сильно неаффинны. ...
Added: April 21, 2025
Chaplygina S., Alexy V. Galatenko, Quasigroups and Related Systems 2024 Vol. 32 No. 2 P. 207–223
Finite quasigroups and n-quasigroups are currently extensively utilized to implement various cryptographic functions. Cryptographic requirements lead to constraints imposed on quasigroups and n-quasigroups. In particular, V. A. Artamonov proposed using polynomially complete quasigroups. Polynomial completeness can be decided with the help of a criterion of J. Hagemann and C. Herrmann: a quasigroup is polynomially complete ...
Added: December 29, 2024
Galatenko A. V., Носов В. А., Панкратьев А. Е. et al., Дискретная математика 2023 Т. 35 № 1 С. 35–53
Конечные квазигруппы и n-квазигруппы являются перспективной платформой для реализации криптоалгоритмов. Одна из актуальных задач заключается в эффективном по памяти порождении широких классов n-квазигрупп большого порядка. В работе предлагается возможный подход к решению этой задачи, основанный на правильных семействах функций, показано, что число порождаемых n-квазигрупп оценивается снизу функцией от мощности образа соответствующего правильного семейства, исследуются возможные значения мощности образа, и приведены ...
Added: July 27, 2023
Petrova T., В кн.: Апрельские тезисы: материалы межлисциплинарной научно-исследовательской конференции (г. Пермь, 8-9 апреля 2022 г.).: Пермь: Пермский государственный национальный исследовательский университет, 2022. С. 197–206.
The article considers to identifying the features of simplicity in the visual image of N. S. Khrushchev in the late 1950s–early 1960s. Based on the visual materials of newspapers and ego-documents, au- thor identifies the features of simplicity and patterns of their display in Khrushchev’s representation. Author characterizes the personal myth of the Soviet leader, which based ...
Added: April 9, 2023
Galatenko A. V., Панкратьев А. Е., Staroverov V., Программирование 2022 № 1 С. 40–53
В работе описываются эффективные алгоритмы для проверки некоторых существенных с криптографической точки зрения свойств n-квазигрупп: полиномиальной полноты (которая сводится к проверке простоты и неаффинности) и существования n-подквазигрупп. Доказываются теоремы об оценках времени работы предложенных алгоритмов и их пространственной сложности, а также приводятся результаты численных экспериментов для оценки практической эффективности программной реализации. ...
Added: October 24, 2022
Galatenko A. V., Pankratiev A. E., Staroverov V., Lobachevskii Journal of Mathematics 2022 Vol. 43 No. 3 P. 571–581
Proper families of functions are a convenient framework for specification of large parametric families of quasigroups and 𝑛-quasigroups. We propose two methods for generation of proper families. The first method uses proper families of the order 𝑚 to construct proper families of the order 𝑚+1. The second method allows generating uniform distribution on the set ...
Added: October 24, 2022
Yashunsky A., Doklady Mathematics 2020 Vol. 102 No. 1 P. 301–303
We consider the conditions for a finite set with a given system of operations (a finite algebra) to be subject to a probability limit theorem, i.e., arbitrary computations with mutually independent random variables have value distributions that tend to a certain limit (limit law) as the number of random variables used in the computation grows. ...
Added: July 6, 2021