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Компьютерная алгебра. Сборник научных статей. Труды международной конференции «Компьютерная алгебра». Москва, 29 июня — 2 июля 2016 г.
M. :
-, 2016.
Editor-in-chief: С. А. Абрамов, Л. А. Севастьянов
Chapters
А. И. Зобнин, Тихонова М. И., В кн.: Компьютерная алгебра. Сборник научных статей. Труды международной конференции «Компьютерная алгебра». Москва, 29 июня — 2 июля 2016 г.: М.: ВЦ РАН, 2016. С. 98–100.
Мы изучаем базисы Гребнера идеалов в кольце многочленов k[x0, ..., xn, ...] от счетного набора переменных, порожденных конечным набором параметрических многочленов особого вида. У таких идеалов существует конечный эквивариантный базис Гребнера. ...
Added: November 26, 2017
Derkacheva A., Sakirkina M., Kraev G. et al., /. 2026.
Comprehensive data on natural hazards and their consequences are crucial for effective for risk assessment, adaptation planning, and emergency response. However, many countries face challenges with fragmented, inconsistent, and inaccessible data, particularly regarding local-scale events. To address this data gap in Russia, we developed an end-to-end processing pipeline that scrapes news from various online sources, ...
Added: April 28, 2026
Qin X., Deng Y., Shchur L. et al., / Series arXiv "math". 2026. No. 2603.02962.
We perform a Monte Carlo analysis of the Ising model on many three-dimensional lattices. By means of finite-size scaling we obtain the critical points and determine the scaling dimensions. As expected, the critical exponents agree with the three-dimensional Ising universality class for all models. The irrelevant field, as revealed by the correction-to-scaling amplitudes, appears to ...
Added: April 20, 2026
Pilé I., Deng Y., Shchur L., / Series arXiv "math". 2026. No. 2604.10254.
We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Svendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for two models in different universality classes: the Ising model and the Potts model with three components. The overlap of two ...
Added: April 20, 2026
Gabdullin N., Androsov I., / Series Computer Science "arxiv.org". 2026.
Label prediction in neural networks (NNs) has O(n) complexity proportional to the number of classes. This holds true for classification using fully connected layers and cosine similarity with some set of class prototypes. In this paper we show that if NN latent space (LS) geometry is known and possesses specific properties, label prediction complexity can ...
Added: April 2, 2026
Sorokin K., Beketov M., Онучин А. et al., / arxiv.org. Серия cs.SI "Social and Information Networks ". 2025.
Community detection in complex networks is a fundamental problem, open to new approaches in various scientific settings. We introduce a novel community detection method, based on Ricci flow on graphs. Our technique iteratively updates edge weights (their metric lengths) according to their (combinatorial) Foster version of Ricci curvature computed from effective resistance distance between the ...
Added: January 15, 2026
Petrovanov I., Sergeev A., / Series Computer Science "arxiv.org". 2025. No. 2512.18332.
Transport coding reduces message delay in packet-switched networks by introducing controlled redundancy at the transport layer: original packets are encoded into coded packets, and the message is reconstructed after the first successful deliveries, effectively shifting latency from the maximum packet delay to the -th order statistic. We present a concise, reproducible discrete-event implementation of transport coding in OMNeT++, including ...
Added: December 24, 2025
Hessian-based lightweight neural network for brain vessel segmentation on a minimal training dataset
Меньшиков И. А., Бернадотт А. К., Elvimov N. S., / Series arXie "Statistical mechanics". 2025.
Accurate segmentation of blood vessels in brain magnetic resonance angiography (MRA) is essential for successful surgical procedures, such as aneurysm repair or bypass surgery. Currently, annotation is primarily performed through manual segmentation or classical methods, such as the Frangi filter, which often lack sufficient accuracy. Neural networks have emerged as powerful tools for medical image ...
Added: December 1, 2025
Chernyshov D., Satanin A., Shchur L., / Series arXiv "math". 2025.
We investigate the boundary separating regular and chaotic dynamics in the generalized Chirikov map, an extension of the standard map with phase-shifted secondary kicks. Lyapunov maps were computed across the parameter space (K,K(α, τ)) and used to train a convolutional neural network (ResNet18) for binary classification of dynamical regimes. The model reproduces the known critical ...
Added: November 21, 2025
Rubchinskiy A., Chubarova D., / Series WP7 "Математические методы анализа решений в экономике, бизнесе и политике". 2025. No. WP7/2025/01.
The article examines one of the most famous examples of socio-economic systems, characterized by significant uncertainty – the S&P-500 stock market, where shares of 500 largest US companies are traded. No assumptions are made about the probabilistic characteristics of the stock market. A flexible algorithm for daily trading has been developed, based on both known fixed data ...
Added: November 9, 2025
Larichev A., Soldatova L., BRICS Law Journal 2025 Vol. 12 No. 3 P. 101–119
This study analyzes the experience of smart city development in core BRICS jurisdictions, namely Brazil, Russia, India, China, and South Africa. The legal frameworks, as well as approaches towards management and implementation of the smart city concept, are examined. The research is methodologically based on a multidisciplinary approach, incorporating the analysis of academic literature, legal ...
Added: October 20, 2025
Meshchaninov V., Strashnov, P., Shevtsov A. et al., / Cornell University. Серия CoRR, arXiv:2403.03726 "Computing Research Repository,". 2025.
Protein design requires a deep understanding of the inherent complexities of the protein universe. While many efforts lean towards conditional generation or focus on specific families of proteins, the foundational task of unconditional generation remains underexplored and undervalued. Here, we explore this pivotal domain, introducing DiMA, a model that leverages continuous diffusion on embeddings derived ...
Added: October 5, 2025
Shabalin A., Meshchaninov V., Vetrov D., / Series cs.CL, arXiv:2505.18853 "Computation and Language". 2025.
Diffusion models have achieved state-of-the-art performance in generating images, audio, and video, but their adaptation to text remains challenging due to its discrete nature. Prior approaches either apply Gaussian diffusion in continuous latent spaces, which inherits semantic structure but struggles with token decoding, or operate in categorical simplex space, which respect discreteness but disregard semantic ...
Added: October 5, 2025
Абрамов А. С., Chernyshev V. L., Mikhaylets E. et al., / Series Social Science Research Network "Social Science Research Network". 2025.
Computer vision is one of the most relevant modern research areas with broad practical applications. However, traditional solutions based on deep learning have signicant limitations and can be misleading. Topological data analysis, on the other hand, is a modern approach to solving similar problems using mathematically deterministic methods of algebraic topology that reduce the risk ...
Added: September 23, 2025
Kochetkov Y., / Series arXiv.org e-print archive "arXiv.math". 2025. No. 07600.
We demonstrate in an elementary way how to construct a frieze pattern of width m-3 from a partition of a convex m-gon
by not intersecting diagonals. ...
Added: September 17, 2025
Kochetkov Y., / Series arXiv.org e-print archive "arXiv.math". 2025. No. 20584.
We give a new proof of the following statement: the Catalan number C_n is divisible
by n+2, if n is odd and n<> 3k+1. ...
Added: September 9, 2025
Dmitrii Tekutev, HSE University Journal of International Law 2023 Vol. 1 No. 4 P. 54–74
The proposed research is an attempt to view how internationally recognised principles of sustainable development can be implemented at the corporate level, in particular, how the company’s board of directors should respond to climate and environmental challenges. Specifically, the paper examines the problem of reducing board members' repeated cognitive biases towards such a mainstream governance ...
Added: March 3, 2024
Иеромонах Лев (Скляров), Вопросы теологии 2022 Т. 4 № 3 С. 549–560
Everyone can freely profess any religion, i. e. to be a member of a religious association or to be an atheist. This is what practically all existing legal norms concerning freedom of conscience and faith say. However, restrictions on the spread of new religious movements, destructive cults and sects, individual religious rites and ceremonies, and ...
Added: September 22, 2022
Obukhov A., Рытикова Н. А., Исследователь/Researcher 2021 № 3-4 С. 197–217
The article presents the original contest called “V Fokuse Vnimania” (In the Focus of Attention), which is one of the organizational conditions for increasing the research culture of students and teachers of the “26 KADR” College. The key-feature of the contest is that the participants themselves decide what type of expertise they want to receive ...
Added: April 1, 2022
M.: Max press, 2021.
The international conference is organized jointly by Dorodnicyn Computing Center of Federal Research Center “Computer Science and Control” of Russian Academy of Science and Peoples’ Friendship University of Russia. The talks presented at the conference discuss actual problems of computer algebra – the discipline whose algorithms are focused on the exact solution of mathematical and ...
Added: March 30, 2022
Obukhov A., Kosaretsky S., Можаева М. В. et al., Исследователь/Researcher 2021 № 1-2 С. 32–51
The article presents the theoretical foundations and examples of the use of project and research activity methods, media resources and e-learning technologies for the formation and development of environmental literacy and environmentally responsible behavior in additional education programs. A model of three levels of student involvement in activities for the development of environmental literacy is ...
Added: October 11, 2021
Association for Computing Machinery (ACM), 2021.
The International Symposium on Symbolic and Algebraic Computation (ISSAC) is the premier conference for research in symbolic computation and computer algebra. ISSAC is the continuation of conferences with the names SYMSAC, EUROCAL, EUROSAM, and EUROCAM, which have alternated between North America and Europe before merging into ISSAC. The whole series started in 1966 with the ...
Added: September 27, 2021
Kraynova P., Obukhov A., Проблемы современного образования 2020 № 5 С. 142–152
In the context of global trends in the humanization of education, issues of diff erentiation, individualization and personalization of education are actively discussed. At the same time, the key question remains – how to preserve the individual capabilities, interests and needs of each student while maintaining collective learning formats? How to take into account the personal ...
Added: November 20, 2020
Липка О. Н., Романовская А. А., Semenov S., Фундаментальная и прикладная климатология 2020 Т. 1 С. 65–90
The purpose of the article was to describe the directions of methodological developments in Russia in terms of adaptation, which are necessary to justify adaptation measures (including priority for their implementation) and to develop the National reporting system in the field of adaptation in accordance with the commitments under the Paris Agreement. The conceptual framework ...
Added: November 2, 2020
Barysheva K., Maksimov D. M., Право. Журнал Высшей школы экономики 2020 № 3 С. 4–26
In July 2019 a landmark event took place in Private International Law, associated with the approval of the final text of Convention on the Recognition and Enforcement of Foreign Judgements in Civil or Commercial Matters . For more than 10 years The Hague Conference on Private International Law has not introduced new conventions . Russia ...
Added: September 27, 2020