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Теорема о понижении мощности для логик QHC и QH4
Алгебра и логика. 2022. Т. 61. № 6. С. 720–741.
The joint logic of problems and propositions QHC introduced by S. A. Melikhov, as well as intuitionistic modal logic QH4, is studied. An immersion of these logics into classical first-order predicate logic is considered. An analog of the Lowenheim-Skolem theorem on the existence of countable elementary submodels for QHC and QH4 is established.
Gusev I., Maksaev A., Promyslov V., Journal of Mathematical Sciences 2025 Vol. 299 No. 6
The regular graph of the space of n × m matrices over a field F is defined as the undirected graph whose vertices are matrices of rank min(n, m), and distinct matrices A and B are connected by an edge if and only if rk(A + B) < min(n, m). In this paper, for |F| ...
Added: May 25, 2026
Tyukin I., Tyukina T., van Helden D. P. et al., Information Sciences 2024 Vol. 678 Article 120856
AI errors pose a significant challenge, hindering real-world applications. This work introduces a novel approach to cope with AI errors using weakly supervised error correctors that guarantee a specific level of error reduction. Our correctors have low computational cost and can be used to decide whether to abstain from making an unsafe classification. We provide ...
Added: May 23, 2026
Zaikin A., Sviridov I., Sosedka A. et al., Technologies 2026 Vol. 14 No. 2 Article 84
High-dimensional tabular data are common in biomedical and clinical research, yet conventional machine learning methods often struggle in such settings due to data scarcity, feature redundancy, and limited generalization. In this study, we systematically evaluate Synolitic Graph Neural Networks (SGNNs), a framework that transforms high-dimensional samples into sample-specific graphs by training ensembles of low-dimensional pairwise ...
Added: May 23, 2026
Kibkalo Vladislav, Chertopolokhov V., Mukhamedov A. et al., IEEE Access 2026 Vol. 14 P. 14369–14392
This study presents on-the-fly identification and multi-step prediction of nonlinear systems with delayed inputs using a dynamic neural network combined with a smooth projection onto ellipsoids. The projection enforces parameter constraints that guarantee stability, while a Lyapunov–Krasovskii analysis yields computable ultimate error bounds. Riccati-type matrix inequalities are derived, providing an efficient vectorization–projection–devectorization implementation suitable for ...
Added: May 22, 2026
Морозов С. В., Calcolo 2026 Vol. 63 No. 2 Article 23
The approximation of tensors in a low-para metric format is a crucial component in many mathematical modelling and data analysis tasks. Among the widely used low-parametric representations, the canonical polyadic (CP) decomposition is known to be very efficient. Nowadays, most algorithms for CP approximation aim to construct the approximation in the Frobenius norm; however, some ...
Added: May 22, 2026
Селянин Ф. И., Journal of Dynamical and Control Systems 2026 Vol. 32 No. 2 P. 1–16
A B-facet is a lattice -dimensional polytope in the positive octant with a positive normal covector, such that every -dimensional simplex with vertices in it is a B-simplex (i.e., a pyramid of height one with base on a coordinate hyperplane). B-facets were introduced in [2] in the context of the monodromy conjecture. In this paper, we complete the ...
Added: May 21, 2026
Ausubel L., Baranov O., Journal of Economic Theory 2026 Vol. 235 No. 106192
The Vickrey-Clarke-Groves (VCG) mechanism is one of the most compelling constructs in mechanism design, but the presence of complementary goods creates the possibility of non-core and even zero-revenue outcomes. In this article, we show that joint feasibility constraints on allocations offer a second pathway to ill-behaved outcomes in the VCG mechanism, even when all bidders ...
Added: May 20, 2026
Denis Seliutskii, Russian Journal of Mathematical Physics 2025 Vol. 32 No. 2 P. 399–407
In this paper, we find an upper bound for the first Steklov eigenvalue for a surface of revolution with boundary consisting of two spheres of different radii. Moreover, we prove that, in some cases, this boundary is sharp. ...
Added: May 19, 2026
Жакупов О. Б., European Journal of Mathematics 2025 Vol. 11 Article 84
We provide examples of smooth three-dimensional Fano complete intersections of degree 2, 4, 6, and 8 that have absolute coregularity 0. Considering the main theorem of Avilov, Loginov, and Przyjalkowski (CNTP 18:506–577, 2024) on the remaining 101 families of smooth Fano threefolds, our result implies that each family of smooth Fano threefolds has an element of absolute ...
Added: May 18, 2026
Gonchenko S., Lerman L., Turaev D., Regular and Chaotic Dynamics 2026 Vol. 31 No. 3 P. 349–369
We show that bifurcations of four-dimensional symplectic diffeomorphisms with a quadratic homoclinic tangency to a saddle periodic orbit with real multipliers produce 2-elliptic periodic orbits if the tangency is not partially hyperbolic. We show that a normal form for the rescaled first-return maps near such tangency is given by a four-dimensional symplectic H´enonlike map and study bifurcations of the ...
Added: May 15, 2026
Aleskerov F. T., Khutorskaya O., Stepochkina A. et al., Springer, 2026.
The book contains new models of bibliometric analysis based on centrality measures in network analysis, pattern analysis and stability analysis. A distinctive feature of these centrality measures is that they account for the parameters of vertices and group influence of vertices to a vertex. This reveals specific groups of publications, authors, terms, journals and affiliations ...
Added: May 15, 2026
Kuptsov P., Panyushev A., Stankevich N., Chaos 2026 Vol. 36 No. 5 Article 053138
We develop a machine-learning approach to reproduce the behavior of two versions of the van der Pol oscillator exhibiting a subcritical Andronov–Hopf bifurcation, with or without a codimension-2 Bautin point. We construct a neural-network model that functions as a recur rent map and train it on short segments of oscillator trajectories. The results show that, ...
Added: May 15, 2026
Кузнецова А. Д., Славяноведение 2025 № 6 С. 5–18
The article examines the Polish-Lithuanian Commonwealth`s description in «Opisanie sveta», a Russian translation of the Latin cosmography «Descriptio Orbis» by Luca de Linda. This description, to which Luca de Linda paid special attention, has been changed in the translation: the parts about geography, ranks, and Polish kings are reworked and contain details absent in the original. ...
Added: May 15, 2026
Dorovskiy A., / Series arXiv "math". 2026.
In this paper the structural stability of generic families of vector fields of the PC-HC class on the two-dimensional sphere is proved. A classification of these families up to moderate equivalence in neighborhoods of their large bifurcation supports is presented, based on such invariants as the configuration and the characteristic set. The realization lemma is proved. ...
Added: May 14, 2026
Lebedev V., Journal of Mathematical Analysis and Applications 2026 Vol. 563 No. 2 Article 130787
It is known that for every continuous real-valued
function $f$ on the circle $\mathbb T=\mathbb R/2\pi\mathbb Z$ there exists a
change of variable, i.e., a self-homeomorphism $h$ of $\mathbb T$, such that
the superposition $f\circ h$ is in the Sobolev space $W_2^{1/2}(\mathbb T)$.
We obtain new results on simultaneous improvement of functions by a single
change of variable in relation ...
Added: May 14, 2026
Blokh A., Oversteegen L., Selinger N. et al., Arnold Mathematical Journal 2026 Vol. 12 No. 1 P. 60–110
We describe a model for the boundary of the connectedness locus of the parameter space of cubic symmetric polynomials. We show that there exists a monotone continuous function from the connectedness locus to the model which is a homeomorphism if the former is locally connected. ...
Added: May 13, 2026
Petrov I., Автоматика и телемеханика 2026 № 6 С. 82–118
Системам связанных агентов и сетевому управлению посвящено большое число отечественных и зарубежных исследований. Исторически, наибольший интерес в теории управления возникал к усредняющим системам и, в частности, к задаче консенсуса. Однако сетевое взаимодействие может характеризоваться более специфическими функциями, отражающими зависимость от действий соседей по сети, что особенно явно проявляется в моделях стратегического взаимодействия на сети, которое ...
Added: May 12, 2026
Егорова А. А., Детские чтения 2023 Т. 23 № 1 С. 299–331
В статье описаны адаптации романа Чарльза Диккенса «Дэвид Копперфильд», выполненные на русском языке для детей. Основная цель работы заключалась в том, чтобы определить, менялись ли подходы к работе с романом в разные исторические периоды — в дореволюционные годы, во времена советской власти и в современной России. Для этого были проанализированы доступные на сегодняшний день переводы ...
Added: February 27, 2026
Pavlova O., Филологические науки. Вопросы теории и практики 2019 Т. 12 № 12 С. 304–307
The paper analyses the techniques to transfer artistic expressiveness, figurativeness and sociocultural peculiarities of the Chinese phraseological units by the material of the Russian translation of Mo Yan's novel “Life and Death Are Wearing Me out” performed by I. A. Egorov. It is shown that the translator basically uses word-for-word translation when rendering phraseological units. ...
Added: February 24, 2026
Trofimova N., Криворучко А. С., Школа дидактики перевода 2025 № 3 С. 50–56
The article presents the author’s experience of translating an eighteenth-century culinary manuscript by Sibylla Wilhelmina von Münchhausen. It examines the grammatical, lexical, and stylistic features of the text that influenced translation choices: restoring disrupted syntax, dealing with varied verb forms, archaic units of measure and kitchenware names, as well as shifts in the meaning of culinary terms. The translation is viewed ...
Added: February 22, 2026
Britov I., В кн.: Русский язык и русская культура во Вьетнаме: проблемы обучения и исследования.: Ханой: Ханойский государственный университет, 2025. С. 135–148.
In the 21st century, the number of translations of Vietnamese literature into Russian has significantly decreased. While professional translators were involved in translations during the Soviet period, at present most translations of Vietnamese works into Russian are carried out by teachers of the Vietnamese language at Russian universities. A new trend has also become the ...
Added: January 18, 2026
Артёмов С. Н., Beklemishev L. D., Гончаров С. С. et al., Успехи математических наук 2025 Т. 80 № 3 С. 179–182
Некролог, посвящённый Ларисе Львовне Максимовой. ...
Added: December 27, 2025
Филатов А. С., Толочин И. В., Вестник Санкт-Петербургского университета. Язык и литература 2022 Т. 19 № 1 С. 149–168
This article discusses the problem of functional equivalence in a literary text translation. A strong case is made for what the article proposes to consider reconstructive reading as the basic method for approaching a literary text in order to translate it. We analyze the Russian translation of O. Henry’s The Gift of the Magi, which ...
Added: November 24, 2025
Barinova E., В кн.: Компаративные филологические исследования: язык и литература.: Екатеринбург: Издательство Уральского университета, 2025. Гл. 3.1 С. 167–177.
В статье рассматривается литературная сказка Джеймса Джойса "Кот из Божанси" и два ее перевода на русский язык. Цель исследования – проанализировать трансформации не только текста сказки, но и сопровождающих его иллюстраций, и выяснить, насколько переводчик, художник и издатель отступают от оригинала и какие литературные и культурные изменения претерпевает текст. Авторы двух переводов сказки, А. Ливергант ...
Added: November 23, 2025