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News
July 24, 2026
‘I Like Self-Fulfilling Prophecies
Andrey Vorchik studies happiness, delivers popular science lectures, and believes that science should address social issues as well. In an interview for the Young Scientists of HSE University project, he spoke about how emotions influence decision-making, the Bermuda Triangle formed by the bathroom, refrigerator, and bed, and the ideal formula for education.
July 24, 2026
'Physics Is What the World Is Literally Built On'
Physicist Nina Dzhanayeva, recipient of a Vladimir Potanin Foundation scholarship, focuses her research on nanophotonics. In this interview for the HSE Young Scientists project, she discusses nanowells, scientific intuition, and how physics can help in making frangipane cream puffs.
July 20, 2026
Scientists Create Open Dataset for Studying Concentration
A team of Russian researchers, including scientists from HSE University–St Petersburg, has developed the first open multimodal dataset containing recordings of brain activity, heart function, and video observations to help researchers understand what happens in the human brain during deep concentration. In the future, the dataset could accelerate the development of neural interfaces, rehabilitation technologies, and AI systems. The article has been published in Scientific Data.

 

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Компьютерный практикум по математике. Математический анализ. Линейная алгебра

M. : -, 2009.
Vorob'ev E. M.
Editor-in-chief: Климкин М.
Priority areas: IT and mathematics
Language: Russian
Full text
Keywords: математический анализлинейная алгебрасистема «Математика»система «ВебМатематика»
Компьютерный практикум по математике. Математический анализ. Линейная алгебра
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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
Growth in noncommutative algebras and entropy in derived categories
Piontkovski D., / Series arXiv "math". 2026.
A noncommutative projective variety is defined, following Artin and Zhang, by a graded coherent algebra 𝐴. The category of coherent sheaves is then the quotient qgr(𝐴) of the category of finitely presented graded modules by the subcategory of torsion modules. We consider the categorical and polynomial entropies of the Serre twist, that is, of the ...
Added: June 23, 2026
Multilinear nilalgebras and the Jacobian theorem
Piontkovski D., / Series arXiv "math". 2025.
If a symmetric multilinear algebra is weakly nil, then it is Engel. This result may be regarded as an infinite-dimensional analogue of the well-known Jacobian theorem, which states that if a polynomial mapping has a polynomial inverse, then its Jacobian matrix is invertible. This refines a theorem of Gerstenhaber and partially answers a question posed ...
Added: June 23, 2026
ML-based Fast Simulation of FARICH Responses
Shipilov F., Barnyakov A., Ivanov A. et al., / Series Physics "arxiv.org". 2026.
A fast simulation of the detector response is a vital task in high-energy physics (HEP). Traditional Monte-Carlo methods form the backbone of modern particle physics simulation software but are computationally expensive. We present a machine-learning-based approach to fast simulation of the Focusing Aerogel Ring Imaging Cherenkov (FARICH) detector response. Given a particle track and momentum, ...
Added: May 19, 2026
Natural hazard database from Internet publications: text mining with a large language model
Derkacheva A., Sakirkina M., Kraev G. et al., /. 2026.
Comprehensive data on natural hazards and their consequences are crucial for effective for risk assessment, adaptation planning, and emergency response. However, many countries face challenges with fragmented, inconsistent, and inaccessible data, particularly regarding local-scale events. To address this data gap in Russia, we developed an end-to-end processing pipeline that scrapes news from various online sources, ...
Added: April 28, 2026
Algorithmic overlaps as thermodynamic variables: from local to cluster Monte Carlo dynamics in critical phenomena
Pilé I., Deng Y., Shchur L., / Series arXiv "math". 2026. No. 2604.10254.
We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Svendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for two models in different universality classes: the Ising model and the Potts model with three components. The overlap of two ...
Added: April 20, 2026
Using predefined vector systems to speed up neural network multimillion class classification
Gabdullin N., Androsov I., / Series Computer Science "arxiv.org". 2026.
Label prediction in neural networks (NNs) has O(n) complexity proportional to the number of classes. This holds true for classification using fully connected layers and cosine similarity with some set of class prototypes. In this paper we show that if NN latent space (LS) geometry is known and possesses specific properties, label prediction complexity can ...
Added: April 2, 2026
Iterative Ricci-Foster Curvature Flow with GMM-Based Edge Pruning: A Novel Approach to Community Detection
Sorokin K., Beketov M., Онучин А. et al., / arxiv.org. Серия cs.SI "Social and Information Networks ". 2025.
Community detection in complex networks is a fundamental problem, open to new approaches in various scientific settings. We introduce a novel community detection method, based on Ricci flow on graphs. Our technique iteratively updates edge weights (their metric lengths) according to their (combinatorial) Foster version of Ricci curvature computed from effective resistance distance between the ...
Added: January 15, 2026
Implementing Transport Coding in OMNeT++ for Message Delay Reduction
Petrovanov I., Sergeev A., / Series Computer Science "arxiv.org". 2025. No. 2512.18332.
Transport coding reduces message delay in packet-switched networks by introducing controlled redundancy at the transport layer:  original packets are encoded into  coded packets, and the message is reconstructed after the first  successful deliveries, effectively shifting latency from the maximum packet delay to the -th order statistic. We present a concise, reproducible discrete-event implementation of transport coding in OMNeT++, including ...
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Accurate segmentation of blood vessels in brain magnetic resonance angiography (MRA) is essential for successful surgical procedures, such as aneurysm repair or bypass surgery. Currently, annotation is primarily performed through manual segmentation or classical methods, such as the Frangi filter, which often lack sufficient accuracy. Neural networks have emerged as powerful tools for medical image ...
Added: December 1, 2025
Эффективный алгоритм торговли на фондовом рынке: ретроспективный анализ, основанный на данных по S&P-500.
Rubchinskiy A., Chubarova D., / Series WP7 "Математические методы анализа решений в экономике, бизнесе и политике". 2025. No. WP7/2025/01.
The article examines one of the most famous examples of socio-economic systems, characterized by significant uncertainty – the S&P-500 stock market, where shares of 500 largest US companies are traded. No assumptions are made about the probabilistic characteristics of the stock market. A flexible algorithm for daily trading has been developed, based on both known fixed data ...
Added: November 9, 2025
Современные методы теории функций и смежные проблемы
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В сборнике представлены материалы докладов и лекций, включенных в программу Воронежской зимней математической школы. ...
Added: May 9, 2025
Линейная алгебра и геометрия. Курс лекций
Panov T., М.: МЦНМО, 2024.
Книга основана на лекционном курсе, который автор регулярно читает на механико-математическом факультете МГУ им. М. В. Ломоносова. Это современный курс линейной алгебры, отражающий геометрический взгляд на предмет. Необходимые предварительные сведения входят в курсы аналитической геометрии и алгебры первого семестра. В конце приводится список теоретических задач, которые можно использовать при сдаче экзамена. ...
Added: January 15, 2025
Банк задач контрольных работ по математическому анализу с примерами решений
Бляхман Л.Г., Громов Е.М., ISBN 978-5-907868-27-4, 2024.
Приводится банк задач контрольных работ по математическому анализу для студентов международного бакалавриата по бизнесу и экономики. С примерами решений нулевых выариантов. ...
Added: May 17, 2024
Линейная алгебра и аналитическая геометрия : учебник и практикум для вузов
Plotnikova E. G., Ivanov A. P., Loginova V. V. et al., М.: Юрайт, 2024.
Данный курс предназначен в помощь студентам-бакалаврам, изучающим линейную алгебру и аналитическую геометрию в качестве базовой дисциплины математического и научного цикла. В простой и наглядной форме изложены основные математические понятия, методы решения задач. Каждая тема содержит необходимый теоретический материал, иллюстрированный примерами, контрольные вопросы, задания для самостоятельного решения. Отдельные подтемы посвящены экономическим приложениям рассмотренных математических понятий и ...
Added: April 6, 2024
Математический анализ. Функции нескольких переменных
Plotnikova E. G., Loginova V. V., Пермь: Пермский государственный национальный исследовательский университет, 2023.
Учебное пособие состоит из двух разделов: «Дифференциальное исчисление функции нескольких переменных» и «Кратные интегралы». Оно содержит необходимые теоретические сведения, задания для самостоятельного решения и ответы к ним. Изложение теоретического материала сопровождается подробно разобранными примерами. Пособие представляет собой полный учебно-методический комплекс, необходимый для изучения функций нескольких переменных, организации аудиторной и самостоятельной работы студентов. Предназначено для студентов ...
Added: July 6, 2023
Quantum Version of Wielandt’s Inequality Revisited
Michalek M., Shitov Y., IEEE Transactions on Information Theory 2019 Vol. 65 No. 8 P. 5239–5242
Consider a linear space L of complex D-dimensional linear operators and assume that some power L^k of L is the whole set End (C^D). Perez-Garcia, Verstraete, Wolf, and Cirac conjectured that the sequence L^1, L^2, ... stablilizes after O(D^2) terms; we prove that this happens after O(D^2 log D) terms, improving the previously known bound of O(D^4). ...
Added: November 11, 2020
Fermi-Pasta-Ulam autorecurrence in the description of the electrical heart activity of patients with diagnosed tuberculosis
Shmid A., Novopashin M., Zimina E., , in: Actual Problems of Systems and Software Engineering APSSE 2019 (Invited Papers).: Los Alamitos, Washington, Tokyo: IEEE Computer Society, 2019. P. 170–176.
The article includes analysis electrocardiograms (ECG) of people with tuberculosis diagnosed. The data obtained are compared with the forms of ECG Fourier spectrum of healthy people and people with an ischemia diagnosed. The database of 93 000 ECG was used in this work to gain the data. The hypothesis of the possibility to detect the ...
Added: May 6, 2020
On Mathematical Visualization in Education
Karpov A., Klepov V. Y., Nikitin A. A., Communications in Computer and Information Science 2020 Vol. 1140 No. 1 P. 11–27
This article treats the use of modern information technologies in the classroom educational process. It emphasizes the need to combine symbolic and visual mathematics, describes the problems associated with this issue, provides a review of the existing systems and a list of the requirements a modern mathematical visualization system must meet. The article is conceived ...
Added: February 5, 2020
Vestnik St. Petersburg University: Mathematics
Allerton Press Inc., 2017.
This journal publishes the mathematics section of Series I of the Vestnik (Herald) of St. Petersburg University, and is one of the oldest Russian mathematics journals in English translation. Articles cover the major areas of pure and applied mathematics.  Many famous mathematicians are associated with the Faculty of Mathematics and Mechanics at St. Petersburg University, including ...
Added: February 4, 2019
Линейная алгебра : учебник и практикум для академического бакалавриата
Burmistrova E., Lobanov S. G., Юрайт, 2019.
В учебнике представлен систематический курс линейной алгебры с элементами аналитической геометрии. Материал учебника изложен в доступной форме. Издание иллюстрировано тщательно подобранными и подробно решенными примерами. Представленные задачи для самостоятельного решения будут способствовать активному освоению курса студентами, а также помогут преподавателям в подборе материала для занятий. ...
Added: October 24, 2018
Математический анализ в экономике
Klyukin P. N., Черемных Ю. Н., Saarbrucken: Palmarium Academic Publishing, 2017.
Tutorial on mathematical analysis. The manual demonstrates the usefulness of the use of mathematical analysis for a wide range of theoretical and applied economic problems, for example, the task of maximizing the company's profits, the problem of rational consumer behavior in the market, the task of finding a static economic equilibrium. It is of interest ...
Added: October 5, 2018
ОБЛАЧНЫЕ ТЕХНОЛОГИИ В ЗАДАЧАХ МАТЕМАТИЧЕСКОГО АНАЛИЗА В СФЕРЕ МЕДИЦИНЫ
Зимина Е. Ю., В кн.: Межвузовская научно-техническая конференция студентов, аспирантов и молодых специалистов им. Е.В. Арменского.: МИЭМ НИУ ВШЭ, 2018. С. 81–83.
В работе рассматриваются вопросы использования облачных сервисов и технологий в сфере телемедицины, как одной из наиболее значимых областей цифровой экономики. Проведен обзор основных задач телемедицины: удаленного мониторинга, анализа и прогнозирования развития состояния пациента, решаемых на основе математического анализа данных о пациенте, собираемых с использованием облачных технологий. ...
Added: May 22, 2018
Глава 2. Системы линейных уравнений. Тесты к главе 2.
Morozova A. V., Plotnikova E. G., В кн.: ЛИНЕЙНАЯ АЛГЕБРА И АНАЛИТИЧЕСКАЯ ГЕОМЕТРИЯ. Учебник и практикум для прикладного бакалавриата.: М.: Юрайт, 2016. Гл. 2 С. 37–57.
Учебник подготовлен на основании программ дисциплины «Линейная алгебра» направления «Экономика» и дисциплины «Математика» направления «Менеджмент» подготовки бакалавров и представляет собой полный учебно-методический комплекс, необходимый для изучения дисциплины. В учебник включены следующие главы: алгебра матриц, системы линейных уравнений, векторная алгебра, линейные операторы, элементы аналитической геометрии. Каждая глава содержит необходимый теоретический материал, иллюстрированный примерами, контрольные вопросы, задания для ...
Added: March 7, 2018
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