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Intransitively winning chess players’ positions
Doklady Mathematics. 2024. Vol. 110. No. Suppl 2. P. S391–S398.
Chess players' positions in intransitive (rock-paper-scissors) relations are considered. Intransitivity of chess players' positions means that: position A of White is preferable (it should be chosen if choice is possible) to position B of Black, if A and B are on a chessboard; position B of Black is preferable to position C of White, if B and C are on the chessboard; position C of White is preferable to position D of Black, if C and D are on the chessboard; but position D of Black is preferable to position A of White, if A and D are on the chessboard. Intransitivity of winningness of chess players' positions is considered to be a consequence of complexity of the chess environment--in contrast with simpler games with transitive positions only. The space of relations between winningness of chess players' positions is non-Euclidean. The Zermelo-von Neumann theorem is complemented by statements about possibility vs. impossibility of building pure winning strategies based on the assumption of transitivity of players' positions. Questions about the possibility of intransitive players' positions in other positional games are raised.
Брычков М. Е., Незнанов А.А., Программирование 2026 № 4 С. 50–66
The matrix profile (MP) quickly became one of the most important time series preprocessing methods when it was introduced in 2016, facilitating the solution of a wide range of time series analysis problems, in particular anomaly and pattern detection problems. The high significance has led to the emergence of various tools for MP calculating, but ...
Added: October 9, 2026
ООО "Издательство Юрайт ", 2026.
The Collection of Olympiad Problems (COP) in Probability Theory and Mathematical Statistics (PTMS) is offered as a teaching aid primarily for university students and faculty as a developmental supplementary resource, expanding the range of problems to be solved in lectures, seminars, and out-of-class independent work with students in various formats, including (as the title suggests) ...
Added: October 9, 2026
Aleskerov F. T., Вайншток А. П., Делахова А. М. et al., Информационные процессы 2026 Т. 26 № 3 С. 895–913
The development and effective management of territorial entities are priority issues for all states, particularly in the context of the digital transformation of public administration. Over the past decade, the integration of information technologies into municipal and regional planning has significantly altered approaches to strategic development, service delivery, and public engagement. This paper describes the ...
Added: October 9, 2026
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
Stepanyants V., Andrey V. Fizulin, Chibirov A. et al., FUTURE TRANSPORTATION 2026 Vol. 6 No. 5 Article 225
Reliable Vehicle-to-Everything (V2X) evaluation requires propagation models that represent terrain and multilevel infrastructure. Most integrated vehicular simulators still rely on planar models, but the magnitude of the resulting bias is unclear. This study quantitatively compares flattened two-dimensional (2D) and terrain-aware three-dimensional (3D) variants of three scenarios using identical Sionna RT settings. The pipeline combines OpenStreetMap ...
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
Groshev Maksim, Rybakov Petr, Teterin N. et al., Sensors 2026 Article 6171
Manual assessment of soybean yield components, such as pod number, is laborious, time-consuming, and subjective. Existing computer-vision approaches based on object detection or instance segmentation perform poorly on close-range RGB imagery of soybean canopies due to severe occlusions, ambiguous plant boundaries, and the high cost of bounding-box annotation. To address these challenges, we propose a ...
Added: October 7, 2026
Aleskerov F. T., Chaika E., Дерендяев А. Б. et al., Procedia Computer Science 2026 No. 287 P. 590–595
Under conditions of dynamic socio-economic changes, effective planning and decision-making are key factors in ensuring a high quality of life for the population in territories. This paper presents a decision support system for territorial administrations for the development and implementation of sustainable development strategies, using one of the regions of the Russian Federation – the ...
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
Томск: Издательство Томского государственного университета, 2026.
Материалы сборника Шестнадцатой Международной конференции «Новые информационные
технологии в исследовании сложных структур» (Москва, 21–25 сентября 2026 г.) ориентированы на
широкий круг специалистов, работающих на стыке теории информации, системного анализа и
прикладных предметных областей. В издание вошли результаты исследований, посвящённые
моделированию дискретных и стохастических структур управления и связи, разработке
высокопроизводительных вычислительных и телекоммуникационных систем, а также вопросам
цифровой трансформации образования, архитектурно-градостроительного проектирования,
экологического ...
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
Orekhov B., / Series Computer Science "arxiv.org". 2024.
In this paper, I apply linguistic methods of analysis to non-linguistic data, chess plays, metaphorically equating one with the other and seeking analogies. Chess game notations are also a kind of text, and one can consider the records of moves or positions of pieces as words and statements in a certain language. In this article ...
Added: August 8, 2024
Adhikari A., Anatolyev S., Dagaev D., IEEE TRANSACTIONS ON GAMES 2024 Vol. 16 No. 2 P. 483–488
We investigate how the mistakes of professional chess players affect the quality of their further moves in the same game. Using a database of games played by top chess players, Stockfish chess engine evaluations, and an ordered probit regression analysis, we found clear evidence that most mistakes provoke tilt, which leads to less accurate future play, ...
Added: May 8, 2023
Poddiakov A., Lebedev A., European Journal of Mathematics 2023 Vol. 9 Article 27
Various objects and systems in intransitive relations of superiority (“rock-paper-scissors” relations) are described (intransitive sets of sticks, dice, chess positions, machines, biological species etc.). The concept of meta-intransitivity of superiority is introduced. Meta-intransitivity is a property of systems, which are in intransitive relationships between one another, and, at the same time, each of them contains ...
Added: April 12, 2023
Poddiakov A., , in: Proceedings of the PME and Yandex Russian conference: Technology and Psychology for Mathematics Education.: M.: SU HSE Publishing House, 2019. P. 178–185.
Added: January 3, 2020
Poddiakov A., / Series arXiv "math". 2018. No. 1809.03869.
The intransitive cycle of superiority is characterized by such binary relations between A, B, and C that A is superior to B, B is superior to C, and C is superior to A (i.e., A>B>C>A—in contrast with transitive relations A>B>C). The first part of the article presents a brief review of studies of intransitive cycles ...
Added: September 12, 2018
Poddiakov A., В кн.: Психология когнитивных процессов.: Смоленск: СмолГУ, 2017. С. 52–57.
Nontransitivity of winningness of chess arrangements (i.e., their relations like in the rock-paper-scissors game) is recently found property of chess environment. The concept of interactivity of a game, i.e., extent of its parties’ interaction (interpenetration) is introduced. Games of different interactivity are analyzed, and nontransitivity is considered as a consequence of high interactivity. Consequences of ...
Added: June 19, 2017
Poddiakov A., Психолого-экономические исследования 2016 Т. 3 (9) № 4 С. 43–50
Knowledge from different areas (from mathematics to biology and social and economic psychology) is integrated to show that intransitive relations of superiority (like in Rock-Paper-Scissors game) are a wide-spread law in many complex systems. Its ignoring with “blind” following the principle of transitivity (if A>B and B>C then A>С) increases probability of some kinds of ...
Added: January 23, 2017
Gurvich V., Oudalov V., Discrete Applied Mathematics 2014 Vol. 167 P. 131–143
We study existence of Nash equilibria (NE) in pure stationary strategies in n-person positional games with no moves of chance, with perfect information, and with the mean or total effective cost function.
We construct a NE-free three-person game with positive local costs, thus disproving the conjecture suggested in Boros and Gurvich (2003). Still, the following four problems ...
Added: October 22, 2016
Shitov Y., American Mathematical Monthly 2016 Vol. 123 No. 1 P. 71–77
We present an infinite sequence of pairs (An, Bn) of chess positions on an n × n board such that (1) there is a legal sequence of chess moves leading from An to Bn and (2) any legal sequence leading from An to Bn contains at least exp(n + o(n)) moves. ...
Added: February 23, 2016
Shitov Y., / Series math "arxiv.org". 2014. No. 1409.1530.
We give an example of two n-by-n chess positions, A and B, such that (1) there is a sequence of legal chess moves leading from A to B; (2) the length of this sequence cannot be less than exp(cn). ...
Added: October 30, 2014