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  • ГЕОМЕТРИЯ И ГЕОМЕТРИЧЕСКОЕ ОБРАЗОВАНИЕ Сборник трудов IV Международной научной конференции «Геометрия и геометрическое образование в современной средней и высшей школе» (к 80-летию Е.В. Потоскуева)
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News
August 13, 2026
‘Working with AI Solves a Wide Range of Engineering Problems
Artificial intelligence is a working tool based on a balanced combination of algorithms and engineering. Experts and doctoral students from the HSE Moscow Institute of Electronics and Mathematics explain how AI technologies can improve an application, device, or system, and what engineering tasks are solved in the process.
August 12, 2026
‘I Would Like My Research to Help Make the World a Calmer and Better Place
Whatever task Saraa Ali, Junior Research Fellow at the Laboratory of Methods for Big Data Analysis (LAMBDA) of the AI and Digital Science Institute (HSE Faculty of Computer Science), is working on, she thinks about how it can benefit people. She told the Young Scientists of HSE University project about her large family, diagnosing three-phase motors, and her dream of building a children’s home in her native country.
August 11, 2026
‘The Peak of Stupidity and ‘The Valley of Despair: HSE Economists Propose an Explanation for the Dunning–Kruger Effect
The Dunning–Kruger effect, which describes a sharp surge in self-confidence among beginners followed by an equally rapid decline as they gain experience, can be explained by the nature of the learning process and the acquisition of new knowledge. This conclusion was reached by Andrey Vorchik of the HSE Faculty of Economic Sciences together with independent researcher Murat Mamyshev. They developed a mathematical model of learning and demonstrated how subjective confidence is formed and changes as knowledge accumulates, as well as how teachers can reduce the ‘valley of despair’ experienced by learners.

 

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ГЕОМЕТРИЯ И ГЕОМЕТРИЧЕСКОЕ ОБРАЗОВАНИЕ Сборник трудов IV Международной научной конференции «Геометрия и геометрическое образование в современной средней и высшей школе» (к 80-летию Е.В. Потоскуева)

Togliatti : Издательство Тольяттинского государственного университета, 2020.
Under the general editorship: Р. А. Утеева
Chapters
ПРИМЕНЕНИЕ ТЕОРИИ УЗЛОВ И ЗАЦЕПЛЕНИЙ К КЛАССИФИКАЦИИ РАСПАДАЮЩИХСЯ АЛГЕБРАИЧЕСКИХ КРИВЫХ
Борисов И. М., Polotovskiy G., В кн.: ГЕОМЕТРИЯ И ГЕОМЕТРИЧЕСКОЕ ОБРАЗОВАНИЕ Сборник трудов IV Международной научной конференции «Геометрия и геометрическое образование в современной средней и высшей школе» (к 80-летию Е.В. Потоскуева).: Тольятти: Издательство Тольяттинского государственного университета, 2020. С. 229–231.
The work is devoted to the application of the Orevkov method, based on the theory of knots and links, to the classification of real algebraic curves, which decompose into the product of two nonsingular curves under some conditions of maximality and general position. In particular, some classes of decomposable curves of the 7 and 8 ...
Added: December 8, 2020
Research target: Education Mathematics
Priority areas: mathematics
Language: Russian
Full text
Keywords: образованиеeducationгеометрияgeometry
ГЕОМЕТРИЯ И ГЕОМЕТРИЧЕСКОЕ ОБРАЗОВАНИЕ Сборник трудов IV Международной научной конференции «Геометрия и геометрическое образование в современной средней и высшей школе» (к 80-летию Е.В. Потоскуева)
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О замыкающих ординалах инфинитарных вероятностных исчислений
Speranski S. O., Математические заметки 2026 Т. 120 № 3 С. 470–483
We show that, in terms of closure ordinals, many infinitary calculi for ‘first-order’ logics of probability (i.e., for languages similar to those in [Abadi & Halpern 1994]) are as hard as possible: the corresponding closure ordinals coincide with the least non-constructive ordinal, denoted by $\omega_1^{\mathrm{CK}}$. ...
Added: August 12, 2026
Data-Efficient Unsupervised Recalibration of Calorimeter Sensor Arrays Using Wasserstein Adversarial Learning
Ali S., Bocharnikov V., Ratnikov F. et al., Sensors 2026 Vol. 26 No. 16 Article 5024
Large distributed sensor arrays require repeated recalibration as radiation damage, material aging, gain variation, and readout drift alter channel responses. We studied a high-granularity calorimeter as a large sensor array and addressed unsupervised recalibration from two unpaired datasets: a nominal reference response and an aged response with attenuated cell-wise signals. Aging was modeled by a ...
Added: August 11, 2026
Социальное предпринимательство в странах Европы: экосистема развития. Аналитический доклад.
Puchkov E., Knyaginina N., М.: Национальный исследовательский университет "Высшая школа экономики", 2026.
The report examines the ecosystem supporting the development of social entrepreneurship in Europe. It considers the historical evolution of the sector, the approaches adopted by the European Union and individual countries to defining and recognising social enterprises, and the differences between European and Russian models. Particular attention is paid to the role of social enterprises ...
Added: August 11, 2026
ПРОФОРИЕНТАЦИЯ КАК ОДИН ИЗ ВЕКТОРОВ ЦИФРОВОЙ ТРАНСФОРМАЦИИ ШКОЛЬНОГО ОБРАЗОВАНИЯ
Баширов М. Ф., Тютюнник Н. О., Бизнес. Общество. Власть 2025 № 2 (56) С. 127–137
The article is devoted to the study of the current vector of development of digital career guidance implemented in Russian school education, considering the Strategic Direction in the field of digital transformation of education until 2030, as well as to the study of the question of the possibilities of using digital career guidance services in ...
Added: August 11, 2026
Reconfiguring India’s Qualifications Architecture: TVET Reform from the National Skills Qualification Framework to the National Credit Framework
Mehrotra S. K., Singh A. P., IZA Discussion Paper, 2026.
Under what institutional conditions do qualifications frameworks become trusted mechanisms for progression, mobility, and labour-market signalling? This paper starts with this question, and then examines the evolution of India’s qualifications architecture through the trajectory of the National Skills Qualification Framework (NSQF) and the emergence of the National Credit Framework (NCrF). More specifically, it addresses the ...
Added: August 10, 2026
Maps preserving two small values of λ-th upper scrambling index
Kulev Y., Maksaev A., Promyslov V., Linear Algebra and its Applications 2026 Vol. 730 P. 51–72
The notion of λ-th upper scrambling index was introduced by Huang and Liu in 2010, as a generalization of a notion considered by Akelbek and Kirkland in 2009. For a primitive digraph D, it is defined as the smallest positive integer k such that for every λ vertices of D there exist directed paths of lengths k from these vertices to a common vertex. This ...
Added: August 7, 2026
On the Matchings-Jack and Hypermap-Jack Conjectures for Labelled Matchings and Star Hypermaps
Kanunnikov A., Promyslov V., Vassilieva E., Electronic Journal of Combinatorics 2024 Vol. 31 No. 3 Article P3.6
Introduced by Goulden and Jackson in their 1996 paper, the matchings-Jack conjecture and the hypermap-Jack conjecture (also known as the b-conjecture) are two major open questions relating Jack symmetric functions, the representation theory of the symmetric groups and combinatorial maps. They show that the coefficients in the power sum expansion of some Cauchy sum for ...
Added: August 7, 2026
GenAIED: Cultural and Pedagogical Catalysts in Higher Education
L.: Routledge, 2026.
This volume explores how generative artificial intelligence is reshaping universities worldwide. Rather than focusing only on the technology, it shows how Artificial Intelligence (AI) is changing how students learn, teachers teach, and institutions operate, while also being shaped by cultural values, educational traditions, and social expectations. Bringing together international case studies from regions including Europe, the ...
Added: August 6, 2026
Peer networks as epistemic infrastructure: Rethinking social support among Turkish students in Russian-medium higher education
Ulgen H., Journal of International Students 2026 Vol. 16 No. 17 P. 283–312
This study reports a secondary analysis of phenomenologically informed, semistructured interviews with 15 Turkish undergraduate and graduate students at three universities in Moscow and examines how peer networks function beyond emotional buffering to support academic engagement and institutional navigation in Russian–medium higher education. Drawing on social support theory, communities of practice, and community cultural wealth ...
Added: August 5, 2026
From hyperbolic to complex Euler integrals
Spiridonov V. P., Belousov N. M., Sarkissian G. A., Analysis and Mathematical Physics 2026 Vol. 16 Article 96
Hyperbolic hypergeometric integrals are defined as Barnes-type integrals of products of hyperbolic gamma functions. Their reduction to ordinary hypergeometric functions is well known. We study in detail their degeneration to complex hypergeometric functions. Namely, using uniform bounds on the integrands, we prove that the univariate hyperbolic beta integral and the conical function degenerate to two-dimensional ...
Added: August 4, 2026
Flexibility criterion for affine horospherical varieties
Gayfullin S., Kikteva V., Results in Mathematics 2026 Vol. 81 No. 5 Article 146
In this paper we obtain a criterion of flexibility for an affine complexity-zero horospherical variety. This result generalizes previously known results on flexibility of normal horospherical varieties, horospherical varieties with an action of a semisimple group, and non-normal toric varieties. ...
Added: August 3, 2026
Artificial Intelligence. Law. Industries
Bogdanovskaya I. J., Volos A., Trubina V. et al., Legal Issues in the Digital Age 2026 Vol. 7 No. 2 P. 113–135
Оn 10 October 2025, the National Research University Higher School of Economics (HSE) Law Faculty held the XIV International Scientific and Practical Conference “Law in the Digital Age” in furtherance of the discussion of artificial intelligence (AI) and law, a subject brought forward at the XIII International Workshop back in 2024. Whereas the plenary meeting focused ...
Added: August 3, 2026
Localising Inclusion: Pre-Service Teachers' Attitudes and Conceptualisations in Germany and Russia
Iskakova B., Kleinlein E. V., Prisyazhniuk D. et al., European Journal of Education 2026 Vol. 61 No. 3 Article e70810
This study examines pre-service teachers' (PSTs) attitudes towards inclusive education in Germany and Russia and investigates how they relate to teacher training curricula and teacher educators' discourse. A mixed-methods design was used, including an online survey of PSTs (n = 460) with an open-ended question, curriculum review and exploratory interviews with university educators in both contexts. The ...
Added: August 3, 2026
О полуортогональных разложениях производных категорий диаграммных схем
Lunts V., Функциональный анализ и его приложения 2026 Т. 60 № 3 С. 127–129
Доказано, что канонические полуортогональные разложения производной категории диаграммной схемы индуцируют аналогичные разложения подкатегории совершенных комплексов. ...
Added: August 3, 2026
Mathematical methods of reinforcement learning
Belomestny D., Gasnikov A., Gladin E. et al., Russian Mathematical Surveys 2026 Vol. 81 No. 4(490) P. 3–90
Reinforcement learning (RL) is increasingly grounded in tools from probability, optimization, and operator theory. This survey organizes the mathematical structures that underpin the design and analysis of modern algorithms in RL. We begin from Markov decision processes (MDPs) and the Bellman operators, emphasizing contraction mappings, monotonicity, and fixed-point theory that yield convergence guarantees and rates ...
Added: August 3, 2026
Sums Related to Euler's Totient Function
A. Radomskii, Mathematical notes 2026 Vol. 119 No. 6 P. 1136–1147
We obtain an upper bound for the sum $\sum_{n\leq N} (a_{n}/\varphi (a_{n}))^{s}$, where $\varphi$ is Euler's totient function, $s\in\mathbb{N}$, and $a_{1},\ldots, a_{N}$ are positive integers (not necessarily distinct) with some restrictions. As applications, for any $t>0$, we obtain an upper bound for the number of $n\in [1,N]$ such that $a_{n}/ \varphi (a_{n})> t$. ...
Added: July 31, 2026
Квадратичный закон взаимности и его обобщения
Абызов А. Н., Буутай П. Н., Математика и теоретические компьютерные науки 2026 Т. 4 № 2 С. 4–75
This paper is expository and methodological in nature and is devoted to the development of E.I. Zolotarev’s ideas embedded in his approach to the proof of the quadratic reciprocity law (1872). We consider extensions of Zolotarev’s approach to abstract number rings presented in the work of A. Brunyate and P.L. Clark (2015), and to finite ...
Added: July 30, 2026
Three Algorithms for Merging Hierarchical Navigable Small World Graphs
Ponomarenko A., / Series Computer Science "arxiv.org". 2025.
This paper addresses the challenge of merging hierarchical navigable small world (HNSW) graphs, a critical operation for distributed systems, incremental indexing, and database compaction. We propose three algorithms for this task: Naive Graph Merge (NGM), Intra Graph Traversal Merge (IGTM), and Cross Graph Traversal Merge (CGTM). These algorithms differ in their approach to vertex selection ...
Added: July 30, 2026
EEG evidence for reproducible neural states during Buddhist Highest Yoga Tantra meditation
Mikhaylets E. V., Razorenova A. М., Chernyshev V. L. et al., Scientific Reports 2026 Vol. 16 Article 23560
Meditation offers a naturalistic paradigm for studying introspection, yet the neural dynamics of advanced tantric practices remain largely unexplored. Buddhist Highest Yoga Tantra (BHYT) comprises a sequence of eight dissolution stages culminating in the “clear light” state. We recorded EEG during eyes-closed BHYT meditation performed in monasteries and hermitages (51 sessions from 36 male practitioners; ...
Added: July 29, 2026
Managerial Skills Development: Management Fighting Courses as an Efficient Training Tool
Biryuk D., Journal of Economics and Social Sciences 2019 No. 15 P. 69–71
The paper is devoted to the study of the mechanism and competencies needed for developing managerial skills through training courses on managerial struggle, which are necessary not only in the field of business and management, but also in other spheres of public life. The technology of these trainings was developed by Vladimir Tarasov. The influence ...
Added: July 29, 2026
Обучение управленческого персонала посредством тренингов по управленческой борьбе
Biryuk D., Gaudeamus Igitur 2020 № 1 С. 46–47
The article is devoted to the study of the mechanism and competencies necessary for the development of managerial skills through training courses on managerial struggle, which are necessary in the field of business and management. The article describes the impact of this technology on the development of necessary skills, as well as techniques used during ...
Added: July 29, 2026
Произведения Масси и соотношения в когомологиях алгебр Стинрода
Попеленский Ф. Ю., Математический сборник 2026 Т. 217 № 2 С. 108–153
In a recent paper Buchstaber and the author introduced a new structure on the cohomology of Hopf algebras in terms of the Buchstaber spectral sequence (Bss). We fully calculate this structure on the cohomology (known for a long time) of the important Hopf subalgebra A(1) of the classical Steenrod algebra A2. As part of a demonstration ...
Added: July 28, 2026
Сборник материалов Второго международного научно-практического форума «Преподавание арабского языка в современном мире: традиции и инновации»
Издательство Центра современных образовательных технологий, 2025.
This collection contains materials from the Second International Scientific and Practical Forum "Teaching Arabic in the Modern World: Traditions and Innovations," held on November 15-16, 2025, by the Sheikha Fatima bint Mubarak Educational Center at the E.M. Primakov Regional Gymnasium, an autonomous non-profit general education organization, in partnership with the Institute of Oriental Studies of the ...
Added: July 28, 2026
New bound on S1× S2-setting Bell locality of a nonseparable Werner state
Loubenets E. R., / Series arxiv.org "quant-ph". 2026. No. 2607.18050.
In many quantum applications it is important to know whether or not a Bell nonlocal two-qudit state exhibits its nonlocality under correlation scenarios with some given numbers S1,S2≥1 of generalized quantum measurements at two sites. In the present article, we find analytically a new general locality condition sufficient for a  nonseparable Werner state with a ...
Added: July 21, 2026
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