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Submathematics and tropical mathematics
Mathematical notes. 2021. Vol. 109. No. 2. P. 241–246.
In this article, the notions of tropical mathematics and subtropical mathematics are studied. The main principles of tropical analysis and examples of their application to various problems are considered.
Prokofev V., Zabrodin A., Proceedings of the Steklov Institute of Mathematics 2020 Vol. 309 P. 225–239
We consider solutions of the matrix Kadomtsev-Petviashvili (KP) hierarchy that are trigonometric functions of the first hierarchical time t1 = x and establish the correspondence with the spin generalization of the trigonometric Calogero-Moser system at the level of hierarchies. Namely, the evolution of poles xi and matrix residues at the poles aαibβi of the solutions with respect to the kth hierarchical time of the ...
Added: July 14, 2026
Prokofev V., Zabrodin A., Journal of Physics A: Mathematical and Theoretical 2021 Vol. 54
We consider solutions of the Kadomtsev–Petviashvili hierarchy which are elliptic functions of x = t1. It is known that their poles as functions of t2 move as particles of the elliptic Calogero–Moser model. We extend this correspondence to the level of hierarchies and find the Hamiltonian Hk of the elliptic Calogero–Moser model which governs the dynamics of poles with respect to the kth ...
Added: July 14, 2026
Prokofev V., Zabrodin A., Theoretical and Mathematical Physics 2021 Vol. 208 P. 1093–115
We consider solutions of the 2D Toda lattice hierarchy which are elliptic functions of the zeroth time t_0=x. It is known that their poles as functions of t_1 move as particles of the elliptic Ruijsenaars-Schneider model. The goal of this paper is to extend this correspondence to the level of hierarchies. We show that the ...
Added: July 14, 2026
Prokofev V., Zabrodin A., Теоретическая и математическая физика 2023 Т. 217 № 2 С. 299–316
We continue the study of the B-Toda hierarchy (the Toda lattice with the constraint of type B), which can be regarded as a discretization of the BKP hierarchy. We introduce the tau function of the B-Toda hierarchy and obtain bilinear equations for it. Examples of soliton tau functions are presented in explicit form. ...
Added: July 14, 2026
Myachykov A., Qiwei G., Ruisi W. et al., Journal of Affective Disorders 2026 Vol. 412 Article 122110
Subthreshold depression (StD) in adolescence is clinically important, but its neurobiological substrates remain unclear. We examined whether adolescents with StD show multimodal MRI alterations related to glymphatic function. ...
Added: July 13, 2026
Galina Oreshina, Journal of Nonverbal Behavior 2026 Article 10919
Interpersonal synchrony is increasingly conceptualized not as a static marker of rapport but as a dynamic, context-sensitive process that fluctuates across interactional phases to serve distinct relational functions. This study examined whether movement synchrony—absolute, non-absolute, client-leading, and counsellor-leading—was associated with therapeutic alliance in naturally occurring counselling sessions. Twenty-seven video recordings were analysed using motion energy ...
Added: July 13, 2026
Samoilov O., Морозов З. А., Петухова Д. Р. et al., Психология человека в образовании 2023 Т. 4 № 5 С. 519–535
Introduction. The article presents a systematic review of psychological research focusing on metacognitive regulation of learning effectiveness through digital educational technologies (DET). Digital technologies are often used in education. Over the past years, self-regulated learning, i.e., the practice of using digital technologies to manage learning activities, has been gaining momentum. However, the specifics of such ...
Added: July 13, 2026
Шиманогов И. Н., Vyalyi M., Дискретный анализ и исследование операций 2025 Т. 32 № 4 С. 213–230
A well-studied class of algorithmic problems is that of regular realizability: checking the non-emptiness of the intersection of a regular language with a given language. This problem has a natural algebraic interpretation: verifying whether an element of a Boolean algebra belongs to the kernel of a certain homomorphism. This motivates the consideration of an analogous ...
Added: July 12, 2026
Rybakov M., Annals of Pure and Applied Logic 2026 Vol. 177 Article 103811
The paper presents a solution to the question about the decidability of the two-variable fragment of the superintuitionistic predicate logic QLC defined by the class of linear Kripke frames, which is also the ‘superintuitionistic’ fragment of the modal predicate logic QS4.3, under the Gödel translation. We prove that the fragment is undecidable. The result remains true for the ...
Added: July 11, 2026
Panov V., Ryabchenko A., / Series arXiv "stat.ME". 2026. No. 2607.05048.
This paper investigates the problem of statistical inference for a mixture distribution consisting of a discrete and a continuous component, with a particular focus on the class of rational-infinitely divisible distributions. We consider non-parametric estimation of both components of the mixture as well as the quasi-L{é}vy measure, assuming that the mixture belongs to the class ...
Added: July 9, 2026
Springer, 2027.
The series Lecture Notes in Computer Science (LNCS), including its subseries Lecture Notes in Artificial Intelligence (LNAI) and Lecture Notes in Bioinformatics (LNBI), has established itself as a medium for the publication of new developments in computer science and information technology research, teaching, and education. LNCS enjoys close cooperation with the computer science R & ...
Added: July 8, 2026
Маликов М. А., Монахова Э. А., Rzaev E. et al., Ученые записки Казанского университета. Серия: Физико-математические науки 2026 Т. 168 № 2 С. 269–286
This article examines series of families of two-dimensional circulant networks with rectangular
L -shapes, optimal in diameter, as network-on-chip topologies with a minimal number of crossings
between the links and a bounded length of the maximum link that does not depend on the network
size. New network-on-chip routing algorithms, which use the coordinates of three adjacent zeros in
the ...
Added: July 8, 2026
Сорокин П. А., Bochaver A. A., Психология и право 2026 Т. 16 № 2 С. 118–131
Context and relevance. Information security for children and adolescents is currently a key subject of interdisciplinary research and practice. Data from Russian and international studies indicate a high prevalence of threats to the information security of minors, the main ones being cyberbullying, personal data theft, online pedophilia, involvement in destructive subcultures and movements, manipulation of minors ...
Added: July 7, 2026
Pilé I., Shchur L., Deng Y., Physical Review B: Condensed Matter and Materials Physics 2026 Vol. 114 Article 014101
We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Swendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for models in different universality classes: Ising model, Potts model with three components, and four-state Potts model. The overlap of two ...
Added: July 6, 2026
Dvoeglazova M., Visual Cognition 2026 P. 1–16
Rectangularity can be an a priori constraint for the visual system to recover a 3D shape from a 2D image. Two psychophysical experiments (n = 16 each) were conducted to test whether observers are biased to perceive trihedral corners as rectangular and whether this bias is perceptual rather than a response bias. The results of ...
Added: July 6, 2026
М.: Институт консультативной психологии и консалтинга (ФПК-Институт), 2024.
The sixth volume of this year book on client-centered psychotherapy and person-centered approach, published by PCA Russia and the institute of counselling psychology and consulting (FPC institute) gathers the translations of Carl Rogers’ articles and his followers from Russia. They observe the peculiarities of client-centered psychotherapy and person-centered approach. The key components of Rogers’ triad ...
Added: July 6, 2026
Irkutsk: ISDCT SB RAS, 2026.
We study a model problem on the filtration of a conducting fluid through a
porous layer. A porous medium is presented as an assemblage of identical spherical
cells. Each cell consists of a porous core and liquid shell. We derive apriori estimates
for flow characteristics which show the specific behavior of the fluid. Our estimates
are validated numerically. ...
Added: July 5, 2026
Volkova N., Кочетков Н. В., Чикер В. А., Психологическая наука и образование 2026 Т. 31 № 3 С. 35–49
Context and relevance. Artificial intelligence is a technology with the potential to fundamentally transform all spheres of human life. Its rapid integration into everyday reality intensifies research dedicated to the psychology of using neural networks. However, the development of empirical research in the Russian scientific field is limited by the lack of validated psychodiagnostic tools that ...
Added: July 5, 2026
М.: Наука и технологии, 2026.
«Телекоммуникации» ежемесячный рецензируемый производственный, информационно-аналитический и учебно-методический журнал выходит в свет с июля 2000 г.
Для руководителей и работников промышленности, научно-исследовательских и проектно-конструкторских институтов, высших учебных заведений, аспирантов и студентов, а также для специалистов, разрабатывающих, выпускающих и эксплуатирующих средства телекоммуникаций.
Новости разработок и производства, прогнозы развития, защита информации, Нормативные, справочные, аналитические и учебно-методические материалы.
Переход к глобальному информационному ...
Added: July 4, 2026
МФТИ, 2025.
абота редакции научного журнала «Труды Московского физико-технического института» (кратко «Труды МФТИ»), редакционной коллегии и редакционного совета осуществляется в соответствии с Положением, утвержденным ректором института. В состав редакционной коллегии входят руководители института, факультетов, институтских и факультетских кафедр. Главный редактор журнала —президент МФТИ, член-корр. РАН Кудрявцев Н.Н.
Журнал «Труды МФТИ» входит в базу данных РИНЦ (Российский Индекс Научного Цитирования) и доступен в электронной ...
Added: July 4, 2026
Хилинская О. С., Leykina A., Журнал клинического и прикладного психоанализа 2026 Т. VII № 2 С. 104–121
Questions of the interrelation of manifestations played out on the psychic stage and at the level of
the body have been the object of research in both psychiatry and psychoanalytic psychopathology
for a long time, since the time of Hippocrates. With the advent of psychoanalysis, a revolution took
place in the
fi
eld of psychosomatics, Freud brought something that would ...
Added: July 4, 2026
Konakov V., Kucher D., Mammen E., / Series arXiv "math". 2026. No. 2606.11142v1.
In this paper, we construct strong approximations for discrete-time Markov chains weakly converging to continuous diffusion processes, as well as for their perturbed counterparts. Under the assumption of bounded coefficients, we construct closely coupled versions of these processes on a shared probability space. In particular, for both non-degenerate and degenerate cases, we maximize the probability ...
Added: June 11, 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
Taletskii D., / Series arXiv "math". 2026.
A vertex subset of a graph is called a \textit{distance-$k$ independent set} if the distance between any two of its distinct vertices is at least $k + 1$. For all $n,k \geq 1$, we determine the minimum possible number of inclusion-wise maximal distance-$k$ independent sets among all $n$-vertex trees. It equals~$n$ if $n \leq k ...
Added: May 1, 2026