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Бинарные отношения, графы и коллективные решения
M. :
-, 2012.
Priority areas:
IT and mathematics
Language:
Russian
Radomskii A., Mathematical notes 2026 Vol. 119 No. 6 P. 1136–1147
We obtain an upper bound for the sum $\sum_{n\leq N} (a_{n}/\varphi (a_{n}))^{s}$, where $\varphi$ is Euler's totient function, $s\in\mathbb{N}$, and $a_{1},\ldots, a_{N}$ are positive integers (not necessarily distinct) with some restrictions. As applications, for any $t>0$, we obtain an upper bound for the number of $n\in [1,N]$ such that $a_{n}/ \varphi (a_{n})> t$. ...
Added: July 31, 2026
Митлянская М. Б., Высшее образование в России 2023 Т. 32 № 7 С. 157–166
The article is based on the historical and philosophical analysis of fragments of Martin Heidegger’s concept called “Seinsgeschichte”, in which the philosopher considered the phenomenon of the university and the current situation of sciences. Their condition, accord ing to the philosopher, is a direct consequence of the comprehensive extinction of the tradi tion of European ...
Added: July 31, 2026
Митлянская М. Б., Философские науки 2020 Т. 63 № 4 С. 132–151
Philosophers actively discuss Black Notebooks – Martin Heidegger's philosophical notebooks. Their publication opened for researchers a new field in the concept of existential history. The Notebooks are a good example of how closely related philosophical thought and the political atmosphere of time can be. Heidegger witnessed events that caused him to be confused. He had ...
Added: July 31, 2026
Митлянская М. Б., Финиковый компот 2020 № 15 С. 263–266
Review of the anthology "Pro et contra" which has collected the works of several generations of Russian philosophers about Martin Heidegger. More than seventy articles, reviews and excerpts from books of the most significant researchers in this field, according to the editors of the almanac. Author of the review provides general information about the content ...
Added: July 31, 2026
Митлянская М. Б., Идеи и идеалы 2020 Т. 12 № 3 (45) С. 121–133
The idea of reorganizing a German university was revealed in the correspondence of the young Martin Heidegger and his friend Karl Jaspers. Prominent thinkers critically analyze the contribution of contemporaries and representatives of the previous generation of scientists and philosophers. Ambitious and confident in their abilities, they hatched a plan, as it seemed to them, ...
Added: July 30, 2026
Митлянская М. Б., Вестник Пермского университета. Философия. Психология. Социология 2020 № 3 С. 384–394
The paper explores Martin Heidegger’s concept of the «history of being». This concept was created in the philosopher’s late period. Critically analyzing the own paths of existential philosophy revealed in Being and Time, Heidegger gradually forms a spectrum of being-historical notions that will occupy a central po sition in contemplation after «the turn». The methods ...
Added: July 30, 2026
Митлянская М. Б., Известия Саратовского университета. Новая серия. Серия: Философия. Психология. Педагогика 2020 Т. 20 № 2 С. 149–153
This article is devoted to the task of identifying the constitutive attribute of the mythical. The study does not concern the phenomenon of the genesis of myth, considering only those features which allow the myth to survive significant changes, deconstruction and evasion, without losing the basis of its essence, where evasion (der Entzug) is one ...
Added: July 30, 2026
Митлянская М. Б., Финиковый компот 2019 № 14 С. 116–124
The text is devoted to the problem of truth in the late philosophy of Martin Heidegger. The in inquiry based on Heidegger's Plato's Doctrine of Truth. In this paper of his the German philosopher reflected on the "Allegory of the Cave" and through it expressed his understanding of the development concepts of truth and its ...
Added: July 30, 2026
Митлянская М. Б., Финиковый компот 2018 Т. 13 № 13 С. 114–116
Review of “Heidegger, Black Notebooks and Russia”. The text provides a critical review of the articles in the collection and criticizes politically biased interpretations of Heidegger’s philosophy. ...
Added: July 30, 2026
Митлянская М. Б., Электронное научное издание Альманах Пространство и Время 2017 Т. 15 № 1 С. 37–42
Philosophical community took the recent publication of Martin Heidegger's philosophical diaries ("Black Notebooks") as a chal lenge and reacted to this event with stormy discussions and new accusations against philosopher of involvement in German Na tional Socialism and its crimes. From my point of view, it would be more competent to analyze the text and, ...
Added: July 30, 2026
Абызов А. Н., Буутай П. Н., Математика и теоретические компьютерные науки 2026 Т. 4 № 2 С. 4–75
This paper is expository and methodological in nature and is devoted to the development of E.I. Zolotarev’s ideas embedded in his approach to the proof of the quadratic reciprocity law (1872). We consider extensions of Zolotarev’s approach to abstract number rings presented in the work of A. Brunyate and P.L. Clark (2015), and to finite ...
Added: July 30, 2026
Ponomarenko A., / Series Computer Science "arxiv.org". 2025.
This paper addresses the challenge of merging hierarchical navigable small world (HNSW) graphs, a critical operation for distributed systems, incremental indexing, and database compaction. We propose three algorithms for this task: Naive Graph Merge (NGM), Intra Graph Traversal Merge (IGTM), and Cross Graph Traversal Merge (CGTM). These algorithms differ in their approach to vertex selection ...
Added: July 30, 2026
Mikhaylets E. V., Razorenova A. М., Chernyshev V. L. et al., Scientific Reports 2026 Vol. 16 Article 23560
Meditation offers a naturalistic paradigm for studying introspection, yet the neural dynamics of advanced tantric practices remain largely unexplored. Buddhist Highest Yoga Tantra (BHYT) comprises a sequence of eight dissolution stages culminating in the “clear light” state. We recorded EEG during eyes-closed BHYT meditation performed in monasteries and hermitages (51 sessions from 36 male practitioners; ...
Added: July 29, 2026
Попеленский Ф. Ю., Математический сборник 2026 Т. 217 № 2 С. 108–153
In a recent paper Buchstaber and the author introduced a new structure on the cohomology of Hopf algebras in terms of the Buchstaber spectral sequence (Bss). We fully calculate this structure on the cohomology (known for a long time) of the important Hopf subalgebra A(1) of the classical Steenrod algebra A2.
As part of a demonstration ...
Added: July 28, 2026
Metlov K., Andrei B. Bogatyrëv, Annalen der Physik 2026 Vol. 538 No. 6 Article e70234
Thanks to the recent progress in bulk full three-dimensional nanoscale magnetization distribution imaging, there is a growing
interest to three-dimensional (3D) magnetization textures, promising new high information density spintronic applications.
Compared to 1D domain walls or 2D magnetic vortices/skyrmions, they are a much harder challenge to represent, analyze and
reason about. Here we build analytical representation for such ...
Added: July 28, 2026
Menovshchikov A., Ukhlov A., Rendiconti del Circolo Matematico di Palermo 2026 Vol. 75 Article 91
We consider the nonlinear Neumann eigenvalue problem in outward cuspidal domains with a weighted measure. Using composition operators on Sobolev spaces, we establish embeddings of Sobolev spaces into weighted Lebesgue spaces. These embeddings give the solvability of the Neumann spectral problem in this setting and provide estimates for the corresponding weighted Neumann eigenvalues. ...
Added: July 27, 2026
Menovshchikov A., Journal of Mathematical Sciences 2026 Vol. 298 P. 608–618
We study the set of (p, q)-eigenvalues of the p-Laplace operator with no-flux boundary conditions. We show that this set is closed and that its smallest positive element (the first nontrivial eigenvalue) admits a variational characterization. Moreover, we establish lower bounds for this eigenvalue in cuspidal domains. ...
Added: July 27, 2026
Knorre B. K., Вестник Православного Свято-Тихоновского гуманитарного университета. Серия 1: Богословие. Философия. Религиоведение 2026 № 125 С. 53–69
Orthodoxy, while others, on the contrary, notice a critical attitude towards it, emphasizing that he spent almost all his life in religious search. In our opinion, the answer to the question of assessing Prishvin’s religiosity lies in such a phenomenon as religious naturalism, which is expressed in Prishvin’s religious experience of nature, admitting making natural ...
Added: July 25, 2026
Piontkovski D., / Series arXiv "math". 2026.
A noncommutative projective variety is defined, following Artin and Zhang, by a graded coherent algebra 𝐴. The category of coherent sheaves is then the quotient qgr(𝐴) of the category of finitely presented graded modules by the subcategory of torsion modules. We consider the categorical and polynomial entropies of the Serre twist, that is, of the ...
Added: June 23, 2026
Piontkovski D., / Series arXiv "math". 2025.
If a symmetric multilinear algebra is weakly nil, then it is Engel. This result may be regarded as an infinite-dimensional analogue of the well-known Jacobian theorem, which states that if a polynomial mapping has a polynomial inverse, then its Jacobian matrix is invertible. This refines a theorem of Gerstenhaber and partially answers a question posed ...
Added: June 23, 2026
Shipilov F., Barnyakov A., Ivanov A. et al., / Series Physics "arxiv.org". 2026.
A fast simulation of the detector response is a vital task in high-energy physics (HEP). Traditional Monte-Carlo methods form the backbone of modern particle physics simulation software but are computationally expensive. We present a machine-learning-based approach to fast simulation of the Focusing Aerogel Ring Imaging Cherenkov (FARICH) detector response. Given a particle track and momentum, ...
Added: May 19, 2026
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
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