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Ещё раз об определении предмета математики и о периодизации её истории
Семь искусств. 2014. № 5(52).
Аbout approaches to the definition of a subject of mathematics and about a periodization of its history
Priority areas:
mathematics
Language:
Russian
Крестьянников Е. А., Территория: журнал исторических исследований 2026 Т. 2 № 2 С. 174–201
This article continues previously published research (Krest’yannikov, E. A. (2025) “‘Kubki vlasti’ Petra Vologodskogo: kar’ernye stupeni yurista v usloviyakh revolyutsii i Grazhdanskoi voiny (1917–1919). Chast’ I” [“Petr Vologodskii ‘Cups of Power’: Career Steps of a Lawyer in the Time of Revolutions and Civil War (1917–1919). Part I”], Territoriya: zhurnal istoricheskikh issledovanii, 2, pp. 164–200) and ...
Added: October 1, 2026
Boyarchenkov V., Территория: журнал исторических исследований 2026 Т. 2 № 1 С. 61–94
В статье рассматривается место, которое занимали в структуре и практиках московского Общества истории и древностей российских (ОИДР) исследователи из других городов. Установлено, что руководство Общества, на протяжении многих десятилетий декларируя в уставе заинтересованность в привлечении знатоков старины со всей России, в то же время крайне неохотно предоставляло им полноправный статус действительных членов. Опора на патронажные ...
Added: October 1, 2026
Parsamov V., Территория: журнал исторических исследований 2026 Т. 2 № 2 С. 240–254
Рецензия на книгу: Лямина Е., Самовер Н. Иван Крылов – Superstar. Феномен русского баснописца. М.: Новое литературное обозрение, 2024. 760 с. ...
Added: October 1, 2026
Chronopoulos D., Территория: журнал исторических исследований 2026 Т. 2 № 2 С. 225–239
Рецензия на книгу: Миллер А. И. Имперская нация в Российской империи. М.: ИНИОН РАН, 2025. 201 с. ...
Added: October 1, 2026
Egorova G., Территория: журнал исторических исследований 2026 Т. 2 № 1 С. 212–228
Рецензия на книгу: Попов А. Д. Созвездие немеркнущей славы: города-герои Юга России и советская память о Великой Отечественной войне. Симферополь: Н. Орiанда, 2025. 276 с. ...
Added: October 1, 2026
Gorelov R., Территория: журнал исторических исследований 2026 Т. 2 № 1 С. 200–211
Рецензия на книгу: Быстрова И. В. Британский союзник: организация военно-экономических поставок в СССР в 1941–1945 гг. Документальное исследование. М.: Весь мир, 2022. 576 с. ...
Added: October 1, 2026
Алымов С. С., Электронный научно-образовательный журнал "История" 2026 Т. 17 № 2(160) Статья 21
The article discusses the development of the philosophy of history, i.e. the most general ideas about history and its patterns in the USSR in the 1920s - 1980s. It considers the debates on history that unfolded around O. Spengler's civilizational approach and the criticism of mechanism in the 1920s, the philosophy of history of V. ...
Added: October 1, 2026
Ганин А. В., Диалог со временем 2026 № 96 С. 451–454
The article provides an overview of the new book by the famous historian and philosopher S.A. Ekshtut, "The Daily Life of the Russian Intelligentsia during the Decline of the Empire," which is the result of the author's many years of research on the history of the Russian intelligentsia of the XIX – early XX century. The ideas, sometimes ...
Added: October 1, 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
Vyugin I. V., Sashadhar D., Algebra and Number Theory 2026 P. 1–10
We study the K-Fibonacci sequence Fp modulo prime p. Cardinalities of sets |Fp+Fp| and |Fp⋅Fp| are estimated. We present the method of estimating doubling constant of some m-dimensional recurrent sets in Fp. ...
Added: October 1, 2026
Bernardin C., João P. M., Gonçalves P., PROBABILITY AND MATHEMATICAL PHYSICS 2026 P. 59–59
We investigate a boundary-driven Ginzburg-Landau dynamics with long-range interactions. In the hydrodynamic limit, the macroscopic evolution is governed by a fractional heat equation with Dirichlet boundary conditions, while the corresponding stationary profile is characterized by a fractional Laplace equation. We establish a dynamical large deviations principle for the empirical measure and derive the associated stationary ...
Added: October 1, 2026
Kuksin S., Dynamical Systems 2026
We study the mixing properties of discrete-time and continuous-time dissipative dynamical systems driven by bounded mixing random forces. The continuous-time systems are
reduced to discrete-time random dynamical systems generated by time-one maps, so that
the main analysis is carried out in the discrete setting. We introduce a class of mixing random forcings whose regular conditional distributions with ...
Added: October 1, 2026
Kuksin S., Shirikyan A., Journal of Dynamics and Differential Equations 2026 P. 1098–1100
The paper deals with the problem of large-time behaviour of trajectories for discrete-time dynamical systems driven by a random noise. Assuming that the phase space is finite-dimensional and compact, and the noise is a Markov process with a transition probability satisfying some regularity hypotheses, we prove that all the trajectories converge to a unique measure ...
Added: October 1, 2026
Vakhrukova K., Петербургская социология сегодня 2025 № 30 С. 28–51
The digital age has radically changed the landscape of the humanities, introducing new methodologies, tools, and challenges. This has also been reflected in the field of oral history. This transformation has been particularly evident in the UK, where long-standing oral history archives and recent digitization projects have come together to redefine how scholars collect, preserve, ...
Added: October 1, 2026
Potanin B., Dolgikh S., Statistics and Probability Letters 2026 Article 110984
We derive bounds on the gradient and Hessian of the log-CDF, ln F(x), of the multivariate normal distribution. These bounds scale linearly and quadratically in ‖x‖ , respectively, with constants depending only on the covariance matrix. We demonstrate the usefulness of these bounds by proving asymptotic normality of the maximum-likelihood estimator of the multivariate probit ...
Added: October 1, 2026
Vinogradov A., Dialogues d'Histoire Ancienne 2026 Vol. 51 No. 1 P. 377–405
Added: October 1, 2026
A. V. Pereskokov, Journal of Mathematical Sciences 2026 Vol. 302 No. 4 P. 531–545
We consider the Zeeman effect problem for the hydrogen atom in a magnetic field using
irreducible representations of the Karasev–Novikova algebra with quadratic commutation
relations. We find the asymptotics of a series of eigenvalues and the corresponding
asymptotic eigenfunctions near the upper boundaries of spectral clusters. ...
Added: October 1, 2026
Yakovlev K., Puchkin N., Journal of Complexity 2026 Vol. 97
We present a theory for simultaneous approximation of the score function and its derivatives, enabling the handling of data distributions with low-dimensional structure and unbounded support. Our approximation error bounds match those in the literature while relying on assumptions that relax the usual bounded support requirement. Crucially, our bounds are free from the curse of ...
Added: September 30, 2026
Zlotnik A., Mathematical notes 2026 Vol. 120 No. 6 P. 1174–1178
Numerical methods for solving systems of gas dynamic equations are the subject of a vast literature. A special family of spatially symmetric conservative difference methods based on preliminary kinetic, or quasi-gasdynamic (QGD), regularization of these equations was constructed and successfully tested. A pressing issue is the construction of numerical methods that are not only conservative ...
Added: September 30, 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
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