Архимед: научно-методический сборник

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Архимед: научно-методический сборник

Вып. 23: Архимед: научно-методический сборник. Выпуск 23. M. : -, 2026.

Editor-in-chief: А. С. Обрубов, П. В. Чулков, А. В. Шевкин

Применение векторов: от школьного урока до задач олимпиад высокого уровня

Конькина В. С., Рукшин С. Е., В кн.: Архимед: научно-методический сборникВып. 23: Архимед: научно-методический сборник. Выпуск 23.: М.: ООО «Макс Пресс», 2026.

В статье представлен набор задач по теме векторной алгебры, позволяющий на уроке выстроить систему изучения темы "Векторы" от упражнений до олимпиадных задач высокого уровня. ...

Added: May 11, 2026

Research target: Education Mathematics

Language: Russian

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2026 10th Scientific School Dynamics of Complex Networks and their Applications

IEEE, 2026.

Proceedings of the X Scientific School "Dynamics of Complex Networks and their Applications" (DCNA'2026) contain papers of reports of scientists and specialists in the field of intelligent technologies, engineering education, research and design of complex networks. DCNA'2026 was held from 10 to 12 September 2026 in Moscow, Russia, as a part of the International Forum on Artificial Intelligence and ...

Added: October 26, 2026

Weakly non-integrable solitary wave collisions in the modified Benjamin–Bona–Mahony equation

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

Практики поддержки трех базовых потребностей учеников в условиях классно-урочной системы

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

Generative artificial intelligence in education: Mapping research trends and future directions

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

A Neural Network Approach for Generating Libration Point Orbits

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

Основы теории информации

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

Моментные оценки для стохастической аппроксимации

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

An infinite series of Gorenstein local algebras failing the affine homogeneity property

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

Turbulent Exchange Tensor in the Atmospheric Boundary Layer: An Inverse-Problem Approach Using Radiosonde Wind Observations with High Vertical Resolution

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

Diversity of chaos with additional zero Lyapunov exponents in heterogeneous ensemble of quasi-periodic and chaotic systems

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

Наследие реформатора. Анатолий Пинский и профильное обучение в российских школах

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

A Reproducible Microscopy Acquisition Pipeline and Microscopy-Aware Attention for Classification, Detection, and Segmentation of Microorganisms

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

On Calculation of Robustness and Stability of Formal Concepts Based on Delta Measure

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

Shrimps as a fundamental object of nonlinear dynamics. Overview, properties and quasi-periodic generalization

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

Руководство для преподавателей английского языка по адаптации учебных материалов для студентов с ОВЗ по зрению: метод. пособие

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

Poincaré series of valuations on functions over a subfield of complex numbers

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

Losing time for oneself? Tutoring, organised activities, and self-directed leisure as predictors of psychological well-being and academic achievement in Russian adolescents

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

Wave scattering by a sloping beach of an arbitrary angle. Revisited: regular solution

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

Teacher expectations and mathematics growth in primary school: a multilevel moderation analysis

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

Одновременная проверка статистических гипотез

Koldanov A. P., Koldanov P., М.: Издательский дом НИУ ВШЭ, 2026.

В учебном пособии излагается одно из основных направлений одновременной проверки статистических гипотез, а именно теория построения процедур, контролирующих вероятность хотя бы одного ошибочного отвержения. Подробно излагаются первые задачи и процедуры одновременной проверки статистических гипотез, предложенные Фишером. В качестве методологической основы этой теории выбран метод замыкания, в сравнении с которым излагаются основные процедуры, контролирующие вероятность хотя ...

Added: August 30, 2026

Poddiakov A., В кн.: Психология познания: Материалы Всероссийской научной конференции, ЯрГУ, Институт психологии РАН, 5–6 декабря 2025 г.: Институт психологии РАН, 2026. С. 369–377.

74 студентам и аспирантам физико-математического профиля были предложены две задачи на нетранзитивность превосходства (по принципу игры «камень, ножницы, бумага»). Это задачи: а) о нетранзитивных по силе командах борцов; б) о нетранзитивных по длине наборах карандашей. Важной особенностью этих задач является то, что их можно представить (увидеть) и родственными (в значении родственных задач, анализируемом Пойа), допускающими ...

Added: April 29, 2026

Сборник трудов XI Конгресса молодых учёных

Университет ИТМО, 2022.

Издание содержит результаты научных работ молодых ученых, доложенные на XI Конгрессе молодых ученых по тематикам: трансляционные информационные и цифровые технологии; физика; химическая инженерия и зеленые технологии; химия и новые материалы; экология и устойчивое развитие; энергоэффективные инженерные системы и устойчивое развитие. Конгресс проводится ежегодно с 2004 г, в целях ознакомления общественности с результатами научных исследований и ...

Added: April 25, 2026

Нечеткие модели анализа данных и принятия решений. 2-е изд.

Bronevich A., Lepskiy A., М.: Издательский дом НИУ ВШЭ, 2026.

The textbook covers the basic parts of fuzzy set theory as fuzzy relations, fuzzy numbers, fuzzy logical inference, and applications of fuzzy mathematics to data analysis (fuzzy regression, fuzzy clustering, fuzzy classification) and decision making (fuzzy optimization, multicriteria decisions based on fuzzy data, fuzzy data ranking, fuzzy modeling). Each chapter ends with a section of ...

Added: April 3, 2026

Основы теории случайных процессов: от обобщений схемы Бернулли до модели Блэка-Шоулза

Panov V., М.: Издательский дом НИУ ВШЭ, 2026.

Учебник написан на основе материалов, собранных автором при прочтении курса "Случайные процессы" на факультете экономических наук НИУ ВШЭ и при создании онлайн-версии данного курса (с 2018 до 2022 года курс был доступен на платформе Coursera, с 2022 года - на online.hse.ru). В учебнике подробно рассказано о наиболее важных типах случайных процессов - о гауссовских и ...

Added: March 27, 2026