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Результативное образование в математической школе
Чебышевский сборник. 2021. Т. 22. № 1(77). С. 413–446.
Константинов Н. Н., Semenov A.
The article examines the reasons why mathematical schools (mathschools) have become an important and very productive phenomenon in Russian education in recent decades. A brief description of the modern model of productive education traced back to the established tradition of teaching in mathschools, which can lead to the construction of a reproducible model of productive education not only for specialized teaching of mathematics, but also for other areas of Russian general education.
Keywords: математика в школеmathematical olympiadцифровая трансформация образованиярезультативное образованиеdigital transformation of educationthe tradition of mathschools and mathclassesthe Konstantinov Schoolschool mathematics education in Russiaproductive educationrecreational mathematicsmathematical circleuniversity students as teacherslevel differentiationlearning and research activity of studentsшкола Константиноватрадиция матшкол и матклассовисследовательское учениедеятельностное учениерешение неожиданных задачработа студентов со школьниками
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
Брычков М. Е., Незнанов А.А., Программирование 2026 № 4 С. 50–66
The matrix profile (MP) quickly became one of the most important time series preprocessing methods when it was introduced in 2016, facilitating the solution of a wide range of time series analysis problems, in particular anomaly and pattern detection problems. The high significance has led to the emergence of various tools for MP calculating, but ...
Added: October 9, 2026
ООО "Издательство Юрайт ", 2026.
The Collection of Olympiad Problems (COP) in Probability Theory and Mathematical Statistics (PTMS) is offered as a teaching aid primarily for university students and faculty as a developmental supplementary resource, expanding the range of problems to be solved in lectures, seminars, and out-of-class independent work with students in various formats, including (as the title suggests) ...
Added: October 9, 2026
Aleskerov F. T., Вайншток А. П., Делахова А. М. et al., Информационные процессы 2026 Т. 26 № 3 С. 895–913
The development and effective management of territorial entities are priority issues for all states, particularly in the context of the digital transformation of public administration. Over the past decade, the integration of information technologies into municipal and regional planning has significantly altered approaches to strategic development, service delivery, and public engagement. This paper describes the ...
Added: October 9, 2026
Kupavskii A., Noskov F., Forum of Mathematics, Sigma 2026 Vol. 14 Article 124
We call a family of $s$ sets $\{F_1, \ldots, F_s\}$ a sunflower with $s$ petals if, for any distinct $i, j \in [s]$, one has $F_i \cap F_j = \cap_{u = 1}^s F_u$. The set $C = \cap_{u = 1}^s F_u$ is called the {\it core} of the sunflower. It is a classical result of ...
Added: October 8, 2026
Flamarion M. V., Pelinovsky E., Chaos, Solitons and Fractals 2026 Vol. 213 No. 2 Article 119245
This article concerns the study of modulational instability in the rotated-modified Gardner–Whitham (rmGW) equation. This model incorporates both quadratic and cubic nonlinearities, similarly to the Gardner equation, while also retaining the fully dispersive character of the Whitham equation together with a large-scale dispersive term analogous to that in the Ostrovsky equation. Using a classical multiple-scale asymptotic expansion, we ...
Added: October 8, 2026
Люксембург А. А., УРСС, 2005.
Изучается возможность автоматизированного построения математических теорий. Рассматривается дедуктивная система, основанная на языке логики предикатов первого порядка, объектами системы являются математические выражения или формулы, которые описывают математические объекты или их свойства. В дедуктивной системе выводятся математические определения и теоремы. Для доказательства теорем используются методы автоматического доказательства. Разработан алгоритм, выводящий часть формул системы. Для решения задачи используется аппарат математической ...
Added: October 7, 2026
Aleskerov F. T., Chaika E., Дерендяев А. Б. et al., Procedia Computer Science 2026 No. 287 P. 590–595
Under conditions of dynamic socio-economic changes, effective planning and decision-making are key factors in ensuring a high quality of life for the population in territories. This paper presents a decision support system for territorial administrations for the development and implementation of sustainable development strategies, using one of the regions of the Russian Federation – the ...
Added: October 7, 2026
Bernardin C., Gonçalves P., Olla S., Mathematical Physics Analysis and Geometry 2024 Vol. 27 No. 7
We consider the macroscopic limit for the space-time density fluctuations in the open symmetric simple exclusion in the quasi-static scaling limit. We prove that the distribution of these fluctuations converge to a gaussian space-time field that is delta correlated in time but with long-range correlations in space. ...
Added: October 6, 2026
Bernardin C., Chhaibi R., Najnudel J. et al., Probability Theory and Related Fields 2026 Vol. 195 P. 1823–1875
We study the celebrated Shiryaev-Wonham filter (Wonham, W.M., in J. Soc. Ind. Appl. Math. 347–369, 1964) in its historical setup, where the hidden Markov jump process has two states. We are interested in the weak noise regime for the observation equation. Interestingly, this becomes a strong noise regime for the filtering equations. Earlier results of ...
Added: October 5, 2026
Ismailov A., Spiridonov V., Успехи математических наук 2026 Т. 81 № 5 С. 183–184
Получена новая формула для цепной дроби Аски–Вильсона в форме отношения двух q-гипер-геометрических рядов. ...
Added: October 5, 2026
Abdulkhaev K., Shirokov D., Advances in Applied Clifford Algebras 2026 Vol. 36 P. 1–21
In this paper, we present explicit formulas for the inverse and determinant in geometric (Clifford) algebras over vector spaces of dimension n = 7. The derivation of these formulas is made possible by generalizing the concept of conjugation to basis conjugation operations. We further develop a general method for constructing such formulas over odd-dimensional spaces ...
Added: October 4, 2026
Kuninets A., IEEE Transactions on Information Theory 2026 P. 1–1
In this work we study the applicability of Quasi-Cyclic Subfield Subcodes of Dual Elliptic (QC-SSDE) codes for integration into code-based cryptographic schemes. Detailed algorithms are provided for constructing parity-check matrices as well as block-circulant parity-check matrices for this family of codes, accompanied by empirical results that enable the construction of QC-SSDE codes with predetermined dimensions. ...
Added: October 3, 2026
Medvedev G., Alexandrov Artem, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2026 Vol. 114 Article 044102
Graphons are measurable functions used to describe the asymptotic behavior of convergent graph families. Originally motivated by problems in combinatorics and graph theory, graphons have found numerous applications in the modeling and analysis of dynamical processes on networks. In this work, we use graphons to formulate the Ising model on convergent graph sequences, which include ...
Added: October 2, 2026
Pochinka O., Baranov D., Nozdrinova E., Теоретическая и математическая физика 2026 Т. 229 № 1 С. 3–14
The Birman–Williams problem on describing the planetary link of a fibered knot K in S^3 has been partially solved. Using Nielsen's theory for the classification of periodic surface homeomorphisms and its close relationship with the theory of gradient-like diffeomorphisms, it is proved that the planetary link of the trefoil (the unique periodic fibered knot of genus ...
Added: October 2, 2026
Lubashevsky I., Lubashevskiy V., Physica D: Nonlinear Phenomena 2026 Vol. 498 Article 135441
We develop a novel cloud-function formalism describing the dynamical relationship between sensory-information processing in large-scale brain networks (supraliminal processing) and the content of the mental representation of an observed object. The formalism combines elements of neural field theory for large-scale neural activity with the spatial characteristics of perceived objects and their embedding in the environment ...
Added: October 2, 2026
Zlotnik A., Математические заметки 2026 Т. 120 № 6 С. 1005–1009
Численным методам решения систем газодинамических уравнений посвящена обширная литература. Ранее было разработано и успешно апробировано специальное семейство симметричных по пространству консервативных разностных методов, основанных на предварительной кинетической, точнее, квазигазодинамической (КГД), регуляризации этих уравнений. Актуальной задачей является построение численных методов, которые обладают не только свойством консервативности по массе, импульсу и полной энергии, но и удовлетворяют условиям энтропийной ...
Added: October 1, 2026
Йошкар-Ола: Поволжский государственный технологический университет, 2025.
Представлены материалы 35-й Международной конференции «ГрафиКон 2025», проходившей на базе Поволжского государственного технологического университета.
В сборник вошли доклады участников конференции, посвященные методам и технологиям компьютерного анализа изображений, визуальной и когнитивной аналитики, 3D-реконструкции, визуальной навигации и человеко-машинного взаимодействия, виртуальной и дополненной реальности, распознавания образов и др.
Издание адресовано сотрудникам научно-исследовательских и образовательных организаций, специалистам предприятий ИТ-индустрии, аспирантам, студентам. ...
Added: February 21, 2026
Еременко Е. А., Lyzhin I., В кн.: Межвузовская научно-техническая конференция студентов, аспирантов и молодых специалистов имени Е.В. Арменского. Москва, 2024.: М.: ООО "Издательский дом Медиа паблишер", 2024. С. 150–153.
В работе предлагается концепция образовательной платформы интернета вещей и возможности её использования при проведении практикумов на примере лабораторных работ (кейсов) IT Академии Samsung (трек Интернет вещей). ...
Added: November 6, 2025
Lyzhin I., Voskov L., Вопросы педагогики 2025 Т. 1 № 5 С. 82–86
В данной статье рассматривается вопрос умных образовательных пространств. Особое внимание уделяется проблеме фрагментации IoT-экосистем. Описываются возможности протокола Matter, в контексте концепции умной аудитории, и ключевые вызовы интеграции разнородных устройств. Предложена архитектура на базе Matter, объединяющая датчики, исполнительные устройства и локальный сервер для автоматизации управления и анализа данных, в рамках образовательного процесса. Описаны некоторые сценарии применения ...
Added: November 6, 2025
Dvoretskaya I., Alexey Semenov, Uvarov A., , in: 26th International Conference, DAMDID/RCDL 2024, Nizhny Novgorod, Russia, October 23–25, 2024, Revised Selected Papers. Data Analytics and Management in Data Intensive Domains. (CCIS, volume 2641).: Springer, 2026. P. 253–266.
While the literature on digital transformation in education has searched for evidence based practices to improve ICT uptake in school settings, we know little about how schools differ in their approaches. This study aims to overcome the absence of standardized tools that could help to assess the stages and progress of ICT integration in educational ...
Added: October 25, 2025
М.: МЦНМО, 2006.
This book is a collection of materials from the Summer Mathematical Olympiad School of the Specialized Scientific Center of Moscow State University, held in June 2005. The materials include detailed lecture summaries and a complete set of problems used in the seminars. ...
Added: October 14, 2025
Алфутова Н. Б., Егоров Ю. Е., Ustinov A., М.: МЦНМО, 2017.
This collection consists of mathematics problems that were offered in various years during the entrance exams for the 10th and 11th grades of the A.N. Kolmogorov School. The problems cover algebra, geometry, and number theory at varying levels of difficulty. The previous edition of this book was published in 2014. ...
Added: October 14, 2025
Хабаровск: ХК ИРО, 2021.
This collection presents materials from the regional educational program in mathematics, "MatKod," for students in grades 7-9. This textbook is intended for students majoring in pedagogy and mathematics, mathematics teachers, and schoolchildren. ...
Added: October 14, 2025