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О новом подходе к реконструкции лекции Феодора (Tht. 147d)
Платоновские исследования. 2016. № 2. С. 258–278.
In Theaetetus (145a–148a), Plato brings up Theaetetus’ retelling of a lesson by Theodorus of Cyrene, in which the latter demonstrated the incommensurability of the sides of squares containing three, five, and up to seventeen square feet with the side of one square foot. In this paper, we analyse modern scholarly attempts to reconstruct the exact content of the lesson. Our understanding of the fifth-century mathematics in general (and the early Pythagorean one in particular) may vary significantly depending on which methodology Theodorus actually used.
Priority areas:
humanitarian
Language:
Russian
Veretennikov A., Stochastics and Partial Differential Equations: Analysis and Computations 2022 Vol. 10 P. 1165–1179
Positive recurrence of a $d$-dimensional diffusion with an additive Wiener process, with switching and with one recurrent and one transient regimes and variable switching intensities is established under suitable conditions. The approach is based on embedded Markov chains. ...
Added: July 15, 2026
Veretennikov A., Queueing Systems 2022 Vol. 100 No. 3-4 P. 357–359
B.A. Sevastyanov's result about Erlang telephone station problem has been extended in several publications. In this short note one open question about this model has been discussed. The whole volume was devoted mainly to open problems related to the name of Erlang. ...
Added: July 15, 2026
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2026 Vol. 114 No. 1 P. 014217–014217
This study investigates the dynamical origins and statistical properties of extreme events (EEs) in a diffusively coupled theoretical Brusselator system, extending from pairwise interactions to globally coupled networks. Statistically, the emergence of EEs is characterized by heavy-tailed probability density functions and exponential interevent interval distributions, alongside an analysis of the complementary cumulative distribution function and ...
Added: July 15, 2026
Denisova V., Petrović N., Journal of Rational - Emotive and Cognitive - Behavior Therapy 2026 Vol. 44 No. 35 P. 1–16
Cognitive distortions are routinely described in cognitive-behavioral (CBT) and rational-emotive behavior (REBT) therapies as “errors in logic” or “illogical thinking.” While this terminology is pedagogically convenient, it often obscures a crucial conceptual distinction between violations of logical inference and problems related to the justification, scope, or evaluative force of belief content. In this paper, we do not ...
Added: July 15, 2026
Girinsky A., Вестник Томского государственного университета. Философия. Социология. Политология 2026 № 91 С. 104–113
В статье анализируются взгляды двух европейских мыслителей ХХ в. – швейцарского протестантского теолога Карла Барта и русского философа Сергия Булгакова. В центре внимания две их работы середины ХХ в., в которых авторы рассуждают о христианском отношении к государству и политике в мире модерна. В статье доказывается, что несмотря на онтологические и догматические различия между протестантской ...
Added: July 14, 2026
Prokofev V., Zabrodin A., Proceedings of the Steklov Institute of Mathematics 2020 Vol. 309 P. 225–239
We consider solutions of the matrix Kadomtsev-Petviashvili (KP) hierarchy that are trigonometric functions of the first hierarchical time t1 = x and establish the correspondence with the spin generalization of the trigonometric Calogero-Moser system at the level of hierarchies. Namely, the evolution of poles xi and matrix residues at the poles aαibβi of the solutions with respect to the kth hierarchical time of the ...
Added: July 14, 2026
Prokofev V., Zabrodin A., Journal of Physics A: Mathematical and Theoretical 2021 Vol. 54
We consider solutions of the Kadomtsev–Petviashvili hierarchy which are elliptic functions of x = t1. It is known that their poles as functions of t2 move as particles of the elliptic Calogero–Moser model. We extend this correspondence to the level of hierarchies and find the Hamiltonian Hk of the elliptic Calogero–Moser model which governs the dynamics of poles with respect to the kth ...
Added: July 14, 2026
Prokofev V., Zabrodin A., Theoretical and Mathematical Physics 2021 Vol. 208 P. 1093–115
We consider solutions of the 2D Toda lattice hierarchy which are elliptic functions of the zeroth time t_0=x. It is known that their poles as functions of t_1 move as particles of the elliptic Ruijsenaars-Schneider model. The goal of this paper is to extend this correspondence to the level of hierarchies. We show that the ...
Added: July 14, 2026
Prokofev V., Zabrodin A., Теоретическая и математическая физика 2023 Т. 217 № 2 С. 299–316
We continue the study of the B-Toda hierarchy (the Toda lattice with the constraint of type B), which can be regarded as a discretization of the BKP hierarchy. We introduce the tau function of the B-Toda hierarchy and obtain bilinear equations for it. Examples of soliton tau functions are presented in explicit form. ...
Added: July 14, 2026
Nosachev P., Вопросы философии 2026 № 7 С. 166–175
The article provides a comprehensive analysis of the theoretical foundations of three significant fields: New Religious Movements (NRMs) studies, New Age studies, and Western Esotericism. The author offers a historical overview of these domains, reconstructing the scholarly background and interdisciplinary context of their conceptual formation. It is argued that the primary obstacle to their advancement ...
Added: July 14, 2026
Scientific publishing house Infinity, 2026.
Science Conference Proceedings combine materials of the conference – research papers and thesis reports of scientifi c workers. They examine technical, juridical and sociological aspects of research issues. Some articles deal
with theoretical and methodological approaches and principles of research questions of personality professionalization. ...
Added: July 12, 2026
Шиманогов И. Н., Vyalyi M., Дискретный анализ и исследование операций 2025 Т. 32 № 4 С. 213–230
A well-studied class of algorithmic problems is that of regular realizability: checking the non-emptiness of the intersection of a regular language with a given language. This problem has a natural algebraic interpretation: verifying whether an element of a Boolean algebra belongs to the kernel of a certain homomorphism. This motivates the consideration of an analogous ...
Added: July 12, 2026
Rybakov M., Annals of Pure and Applied Logic 2026 Vol. 177 Article 103811
The paper presents a solution to the question about the decidability of the two-variable fragment of the superintuitionistic predicate logic QLC defined by the class of linear Kripke frames, which is also the ‘superintuitionistic’ fragment of the modal predicate logic QS4.3, under the Gödel translation. We prove that the fragment is undecidable. The result remains true for the ...
Added: July 11, 2026
Grebnev L., Вопросы философии 2026 № 7 С. 5–15
In the coming millennium, the transformation of our world has become a matter
of global concern. The first attempts to move in this direction were unsuccessful.
The globalization of economic activity is being replaced by the formation of relatively
autonomous macroregions. But it would be a mistake to assume on this
basis that joint dominion over the entire planet ...
Added: July 11, 2026
Жуматина М.-С. Д., Вопросы философии 2026 № 7 С. 140–154
This article analyzes the proclamation of G.W.F. Hegel as the “father of art history” advanced by the art historian E. Gombrich in his essay of the same name, and investigates the origins and consequences of this gesture. The paper examines Gombrich’s arguments concerning fundamental Hegelian ideas – the five Hegelian “giants” – which, in his ...
Added: July 11, 2026
Scientific publishing house Infinity, 2026.
Scientific Forum Proceedings combine materials of the conference – research papers and thesis reports of scientific workers. They examine technical, juridical and sociological aspects of research issues. Some articles deal with theoretical and methodological approaches and principles of research questions of personality professionalization. ...
Added: July 10, 2026
Sobolev I., Эпистемология и философия науки 2026 Т. 63 № 2 С. 116–134
This article offers a critical analysis of the classical dichotomy between “what is said” and “what is implicated” in philosophy of language. The author argues that a rigid separation between semantics and pragmatics is insufficient to account for the full spectrum of linguistic meaning. Key examples examined include use-conditional meaning, which is conventional yet affects ...
Added: July 9, 2026
Panov V., Ryabchenko A., / Series arXiv "stat.ME". 2026. No. 2607.05048.
This paper investigates the problem of statistical inference for a mixture distribution consisting of a discrete and a continuous component, with a particular focus on the class of rational-infinitely divisible distributions. We consider non-parametric estimation of both components of the mixture as well as the quasi-L{é}vy measure, assuming that the mixture belongs to the class ...
Added: July 9, 2026
Springer, 2027.
The series Lecture Notes in Computer Science (LNCS), including its subseries Lecture Notes in Artificial Intelligence (LNAI) and Lecture Notes in Bioinformatics (LNBI), has established itself as a medium for the publication of new developments in computer science and information technology research, teaching, and education. LNCS enjoys close cooperation with the computer science R & ...
Added: July 8, 2026
Маликов М. А., Монахова Э. А., Rzaev E. et al., Ученые записки Казанского университета. Серия: Физико-математические науки 2026 Т. 168 № 2 С. 269–286
This article examines series of families of two-dimensional circulant networks with rectangular
L -shapes, optimal in diameter, as network-on-chip topologies with a minimal number of crossings
between the links and a bounded length of the maximum link that does not depend on the network
size. New network-on-chip routing algorithms, which use the coordinates of three adjacent zeros in
the ...
Added: July 8, 2026
Pilé I., Deng Y., Shchur L., Physical Review B: Condensed Matter and Materials Physics 2026 Vol. 114 No. 1 Article 014101
We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Swendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for models in different universality classes: Ising model, Potts model with three components, and four-state Potts model. The overlap of two ...
Added: July 6, 2026
Grebnev L., Вопросы философии 2025 № 6 С. 105–116
The relevance of the topic is related to the fact that after the complete abandonment of real values in the 1970s of the main means of international settlements - the US dollar – there is a growing feeling that money increasingly represents an illusory reality. The article begins with an analysis of the illusions associated ...
Added: July 6, 2026
Kudriavtseva E., / РЦИС. Серия № 0148-756-286. 2026.
The content of the work is the system is a system for identifying four types of written speech structures. A set of 11 calculated parameters, statistical standards, and semantic characteristics allows for the identification of a text's structure as the result of a specific cognitive schema (scene, event, story, evaluation). The method has been verified ...
Added: June 2, 2026
Vorchik A., / SSRN. Серия Social Science Research Network "Social Science Research Network". 2026.
This work is devoted to a theoretical explanation of the Easterlin paradox, according to which long-term economic growth does not make average level of people's happiness increasing. By happiness, we mean the intensity of emotions people experience while comparing their new income with its expected value, or the target income with its original value. In the first case, ...
Added: May 31, 2026