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Построение линейного регулятора с помощью разделения движений
Информационные технологии и вычислительные системы. 2012. № 4. С. 40–48.
Dmitriev M., Макаров Д. А.
Keywords: линейный регулятор
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
Korchak A., Hughes C., Costley J., Journal of Research on Technology in Education 2026 P. 1–17
Generative artificial intelligence (Gen-AI) is increasingly used in higher education, yet its role in collaborative learning remains unclear. This study examines how students use Gen-AI during group lesson-planning tasks in an undergraduate education course. Drawing on Vygotsky’s sociocultural theory, we introduce the concept of “an effort space” and apply the categories of appropriate, over-, and ...
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
Lysova-Golomzina E., Dobryakova M. S., Мир психологии. Научно-методический журнал 2026 № 3 С. 285–307
The study focuses on the cognitive mechanisms associated with teachers’ work with new, conceptually complex material, both when they are experts in philological analysis and when they design the acquisition of subject matter. The scientific novelty of the article lies in its interdisciplinary approach, which allows for an explanation of the interaction between “threshold” subject ...
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
Lyu M., Omopekunola M., Wang F., / Series 2026.aimecon-wip.55 "Proceedings of the Artificial Intelligence in Measurement and Education Conference (AIME-Con)". 2026.
Large language models (LLMs) have been proposed as a substitute for field trials in itemdifficulty estimation, but evidence about where they succeed is usually drawn from a single test form. We compare LLM difficulty predictions across three task types that make different language demands, grammar cloze, semantic cloze and reading comprehension, on two operational Grade ...
Added: October 5, 2026
Denisenko I., Petrenko O., Vasilyeva T., Киров: Межрегиональный центр инновационных технологий в образовании, 2026.
Монография посвящена преодолению разрыва между стратегическими целями развития образования и повседневной практикой школы. Научно-методическое сопровождение рассматривается как управленческий механизм перевода образовательных инициатив в устойчивые изменения педагогических и управленческих практик.
Представлена эмпирически апробированная модель научно-методического сопровождения, основанная на цикле: данные — интерпретация — гипотеза — педагогическая проба — анализ — корректировка или закрепление практики. Эмпирическая база включает ...
Added: October 5, 2026
Vradiy N., Давыдова Е. А., Просвещение. Иностранные языки 2026
В статье рассматривается проект «Учитель-партнер» как модель взаимодействия школы и вуза, объединяющая олимпиадную подготовку школьников, профориентацию и методическую поддержку учителей иностранного языка. ...
Added: October 5, 2026
Милицына П. С., Rozhkova K., Roshchin S. et al., Высшее образование в России 2026 № 8-9 С. 94–115
Привлечение и удержание молодых педагогов в школах является одним из важнейших вопросов для преодоления проблемы кадрового дефицита в системе образования. В статье анализируются особенности трудоустройства выпускников российских вузов педагогических специальностей выпуска 2021–2022 гг. На основе тотальных административных данных выявлены факторы, влияющие на вероятность их первоначального трудоустройства в школу и последующего закрепления в профессии. Результаты показывают, ...
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
Nikulina Y., Jamali Jaghdani T., Götz L. et al., / Series "Working Papers". 2026.
The impact of state subsidies on Russia's post-Soviet dairy output remains controversial; this study provides an empirical analysis of that relationship. Using an unbalanced panel dataset of 123 dairy enterprises in the Leningrad Region spanning the period from 2010 to 2023, we employ stochastic frontier analysis to assess these relationships. The results indicate that subsidies ...
Added: September 30, 2026
Kapeliushnikov R., / Высшая школа экономики. Серия WP3 "Проблемы рынка труда". 2026. № WP3/2026/02.
The paper is the first attempt in the Russian literature to assess returns to platform employment in the Russian labor market. The theory offers no clear predictions regarding its impact on workers’ earnings: there might be both a premium and a penalty. We distinguish three groups of workers: employees; self-employed using internet-platforms; self-employed not using ...
Added: September 28, 2026
Levashev V., / Series arXiv "math". 2026. No. 2609.06010.
We prove that continuous A-bilinear pairings on the ring of Laurent series that are invariant under continuous automorphisms coincide, up to a constant, with the pairing given by the residue of a differential form over any commutative associative ring with identity. ...
Added: September 24, 2026
Pyatov P. N., Pivovarov P. A., / Series math "arxiv.org". 2026. No. 2609.06274.
We investigate a special ansats that allows for an iterative solution of the constant Yang-Baxter equation. Testing this ansatz, we construct four sequences of the constant R-matrices. In each sequence the R-matrices act on the tensor squares of vector spaces of linearly growing dimensions. Each R-matrix also depends on a single complex parameter.
By analyzing the ...
Added: September 24, 2026
Usvitskiy A., Mizyakov V., / Series "SSRN Working Paper Series". 2026.
Added: September 24, 2026
Medvedev V., / Series arXiv "math". 2026.
We study complete static manifolds with boundary admitting a nowhere-vanishing static potential. Our main result shows that, under a natural lower bound relating the scalar curvature and the boundary mean curvature, a simple static manifold with boundary must in fact have positive scalar curvature, negative boundary mean curvature, and be compact; we also obtain explicit ...
Added: September 19, 2026
Poddiakov A., / Series Social Science Research Network "Social Science Research Network". 2026. No. 7437658.
Clarity of knowledge and reasoning is necessary in many cases. Yet vagueness in scientific thinking related to surprise, curiosity, "ability to engage with not-knowing" (de Freitas) and abductive reasoning is also a crucially important source of scientific creativity which supplements combinatorial logic when dealing with the already known. Starting from studies by C. S. Peirce ...
Added: September 15, 2026
Glutsyuk A., / Series arXiv "math". 2026.
B.Josephson (Nobel Prize, 1973) predicted a tunnelling effect for a system of two superconductors separated by a narrow dielectric (such a system is called Josephson junction): existence of a supercurrent through it and equations governing it. The overdamped Josephson junction is modeled by the family of differential equations on the 2-torus, dθdτ=1ω(cosθ+B+Acosτ), which is known as ...
Added: September 8, 2026
Pochinka O., Shmukler V., / Series math.RT "arXiv:1808.06395 [math.RT]". 2026.
Anosov flows have a long and rich history, firstly motivated by the
study of geodesic flows in negative curvature surface by Anosov and Sinai.
Not every closed manifold admits an Anosov flow for well-known reasons:
the fundamental group of a 3-manifold M admitting an Anosov flow must
have exponential growth, and M must be universally covered by R3. Nevertheless,
there ...
Added: August 31, 2026