Flamarion M. V., Pelinovsky E., Wave Motion 2027 Vol. 148 Article 103867
We consider the interaction of two solitary waves in the modified Benjamin–Bona–Mahony
(mBBM) equation in a regime where a small parameter measures the departure from the classical
modified Korteweg–de Vries (mKdV) equation. A regular perturbation method is used to
analyze the modification of the two-soliton wave field induced by the weak non-integrability of
the mBBM equation. We show that, ...
Added: October 23, 2026
Gavrilenko P. A., Янис С. О., Педагогика и психология образования 2026 № 2 С. 26–42
Understanding the pedagogical practices of teachers in the classroom
system is an important area of modern pedagogy. The article presents
the results of an empirical study aimed at identifying ways for teachers to frame
time and group work in the context of supporting three basic psychological needs of schoolchildren, namely, autonomy, competence, and relatedness.
The theoretical basis of the research ...
Added: October 23, 2026
Sergei P. Zhdanov, Contemporary Educational Technology 2026 No. 18(4) Article 701
Generative artificial intelligence (GenAI) recently appeared as an issue of its time which has been
changing the educational landscape at a considerable rate and opening new pathways and
challenges for educators and learners. Therefore, in terms of GenAI for education this
bibliometric analysis will characterize the change and development by mapping trends and
patterns, examining prevalent subject areas in ...
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
Kasprzhak A. G., Образовательная политика 2026 Т. 26 № 3 С. 98–102
Статья посвящена вкладу педагога Анатолия Пинского в реформу российского образования начала 2000-х годов. Автор анализирует, как результаты исследования PISA-2000 и «Концепция модернизации до 2010 года» привели к запуску федерального эксперимента по профильному обучению (2003–2007). В тексте раскрываются ключевые механизмы реформы - внедрение индивидуальных учебных планов, разделение профильного и углубленного обучения, создание опорных школ. Показано, как ...
Added: October 15, 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
Rokotyanskaya L. Y., Gridina N. V., Varkan A. et al., М.: Издательский дом НИУ ВШЭ, 2026.
This methodological guide is based on a systematic approach, combining theoretical foundations with practical guidelines for organizing the educational process in inclusive settings. The manual consists of five sections, structured logically from general to specific.
The first section includes general recommendations that take into account the specific ways blind and visually impaired students perceive learning materials. The ...
Added: October 13, 2026
Gusein-Zade S., Campillo A., Delgado F., Mathematische Zeitschrift 2026 Vol. 314 No. 1 P. 1–22
For a subfield $\K$ of the field $\C$ of complex numbers, we consider curve and divisorial valuations on the algebra $\K[[x,y]]$ of formal power series in two variables with the coefficients in $\K$. We compute the semigroup Poincar\'e series and the classical Poincar\'e series of a (discrete, rank one) valuation on it. ...
Added: October 13, 2026
Ivanov I., Ostapenko E., World Leisure Journal 2026 P. 1–21
Adolescents’ leisure is increasingly compressed by tutoring and organized classes, raising concerns about time for self-directed recovery and agency. This study examines how structured and unstructured time relate to psychological well-being and academic achievement, and whether well-being helps explain time-achievement links. Using a 2024 school-based survey of 2,944 Russian students in grades 5–8, we measured ...
Added: October 13, 2026
Mishuris G., Meylan M. H., Pelinovsky E., Journal of Fluid Mechanics 2026 Vol. 1045 Article A4
In this paper, we revisit the classic problem of a wave field on a sloping beach of an arbitrary angle and propose a general approach that allows the computation of regular solutions of the problem regardless of the angle. We use the Mellin-transform technique, reducing the problem to singular integral equations with fixed-point singularities of ...
Added: October 12, 2026
Yusupova E., Ogundele K. S., Durodola F. A., Social Psychology of Education 2026 No. 29 Article 127
This study examines the association between teacher expectations and mathematics growth among first-grade students in Russia. The sample included 1,155 students and 48 teachers from public schools in two Siberian regions. Students’ mathematics performance was assessed using START, with vertical test alignment used to measure individual growth. Multilevel regression models estimated on 20 multiply imputed ...
Added: October 12, 2026
Gusein-Zade S., М.: МЦНМО, 2026.
Книга содержит курс лекций по дифференциальной геометрии и топологии, читавшихся автором на механико-математическом факультете МГУ в разные годы. В дополнениях приводятся некоторые сюжеты (связности в расслоениях, теорема Фробениуса, производные Ли и др.), которые были включены в курс в отдельные годы либо содержались в аналогичных курсах лекций в Независимом московском университете.
Для студентов математических и физических специальностей. ...
Added: October 12, 2026
Ожегов Ф. Ю., Дмитриев М. Д., Дальневосточный математический журнал 2023 Т. 23 № 1 С. 16–26
The paper provides an elementary proof of Kenyon’s theorem that periodic tiling of a plane by squares with periods (1, 0) and (0, λ) is possible only if λ = p±\sqrt{q^2 − r^2} for some rational p≥q≥r≥0. A similar new result is proved about covering of a rectangle with squares from both sides in one ...
Added: March 13, 2024
Нурлигареев Х. Д., Квантик 2019 № 10 С. 11–15
В научно-популярной статье, адресованной школьникам средней и старшей школы, описывается задача Хееша об обкладывании заданной плитки на плоскости её копиями, а также освещается прогресс в её решении, достигнутый в течение последних трёх десятилетий. ...
Added: October 4, 2022
Vereshchagin N., / Series math "arxiv.org". 2020.
We study a family of substitution tilings with similar right triangles of two sizes which is obtained using the substitution rule introduced in [Danzer, L. and van Ophuysen, G. A species of planar triangular tilings with inflation factor $\sqrt{-\tau}$. Res. Bull. Panjab Univ. Sci. 2000, 50, 1-4, pp. 137--175 (2001)]. In that paper, it is ...
Added: July 24, 2020
Durand B., Shen A., Vereshchagin N., Discrete and Computational Geometry 2020 Vol. 63 P. 577–606
We establish a structure theorem for the family of Ammann A2 tilings of the plane. Using that theorem we show that every Ammann A2 tiling is self-similar in the sense of Solomyak (Discret Comput Geom 20:265–279, 1998). By the same techniques we show that Ammann A2 tilings are not robust in the sense of Durand ...
Added: June 6, 2019