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Submathematics and tropical mathematics
Mathematical notes. 2021. Vol. 109. No. 2. P. 241–246.
In this article, the notions of tropical mathematics and subtropical mathematics are studied. The main principles of tropical analysis and examples of their application to various problems are considered.
Gavrilova E., Novoselova K., Myachykov A. et al., Psychology. Journal of the Higher School of Economics 2026 Vol. 23 No. 3 P. 498–511
The term “broad autism phenotype” (BAP) refers to individuals who do not meet the diagnostic criteria for autism but share some of its features, including social difficulties and atypicalities in visual perception and attention that have been linked to a detail-oriented cognitive style. To examine both the cognitive and social aspects of BAP, we employed ...
Added: October 8, 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
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
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
Tatarko A., Юрайт, 2026.
Курс знакомит читателя с основными моделями национальной и организационной культуры, а также современными исследованиями в области кросс-культурных аспектов управления и лидерства. Особое внимание уделено практическим вопросам: отбор и подготовка экспатриантов, международный рекрутинг, кросс-культурный тренинг, работа поликультурных команд и мотивация персонала в международных компаниях. Читатель найдет ответ на ключевой вопрос: как учитывать межкультурные различия при управлении ...
Added: October 6, 2026
Мухамедкаримова Д. Ф., Умуркулова М. М., Galyapina V. N. et al., Вестник Карагандинского университета. Серия Педагогика 2026 Т. 31 № 3 С. 69–77
Currently, artificial intelligence occupies a solid place among traditional pedagogical technologies and approaches, which is the subject of widespread discussion among domestic and foreign scientists and researchers. This is because the introduction of AI into higher education, despite its high potential, faces a wide range of economic, social, and ethical obstacles. These include resistance to ...
Added: October 6, 2026
Сизикова Т. Э., Леонов С. В., Polikanova I., Национальный психологический журнал 2026 Т. 21 № 4 С. 79–89
Background.
The relevance of this study is driven by the rapid increase in anxiety disorders in modern society. According to WHO data from 2021, 359 million people worldwide suffered from anxiety disorders. In psychological practice, there is a growing number of techniques being applied, including those aimed at reducing anxiety, but their effectiveness is not always scientifically proven. Thus, ...
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
Grishutina M. M., Kostenko V., Lebedeva A., Вопросы психологии 2025 Т. 71 № 4 С. 127–135
В русскоязычной психологической литературе конструкт «агентность» встречается редко и обычно отождествляется с понятием «субъектность». В англоязычном дискурсе при рассмотрении агентности изучают два аспекта: ее ощущение и оценку. Дифференциальный опросник переживания агентности (Sense of Agency Scale) А. Тапал и коллег – ДОПА – направлен на измерение общего ощущаемого контроля над собственными произвольными действиями. Целью текущего исследования ...
Added: October 5, 2026
Ивашкевич Б. И., Dvoinin A., Kostenko V. et al., Психологический журнал 2026 Т. 47 № 3 С. 113–126
Целью исследования стала адаптация Опросника репрезентаций Бога (The Questionnaire of God Representations-17, QGR-17) на урссксязычный выборке. Опросник направлен на количественную оценку ментальных представлений и эмоциональных установок в отношении Бога. Общая выборка исследования включила 222 респондента в возрасте от 18 до 54 лет (M = 25.4, SD = 7.71), из которых 72.5% составили женщины, 43% идентифицировали ...
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
Martín-Luengo B., Zinchenko O., Dolgoarshinnaia A., Human Brain Mapping 2026 Vol. 47 No. 11 P. 1–11
Being able to remember the origin of a particular memory is for times even more important than the memory itself. Yet, although memory for the information and memory for the source are intrinsically connected, the particular neural underpinnings for the source‐memory monitoring remains unclear. We run an fMRI meta‐analysis to help to clarify the brain ...
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
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
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
Loubenets E. R., / Series arxiv.org "quant-ph". 2026. No. 2607.18050.
In many quantum applications it is important to know whether or not a Bell nonlocal two-qudit state exhibits its nonlocality under correlation scenarios with some given numbers S1,S2≥1 of generalized quantum measurements at two sites. In the present article, we find analytically a new general locality condition sufficient for a nonseparable Werner state with a ...
Added: July 21, 2026
Bolbachan V., / Series math "arxiv.org". 2024.
Chow polylogarithms are some special functions arising in explicit description of the Beilinson regulator map. The most interesting functional equation for this function reflects its vanishing on the boundary in the Bloch's cycle complex. We show that this functional equation formally follows from more simple ones, namely skew-symmetry, functoriality and multiplicativity.
To prove this, we study ...
Added: July 16, 2026
Bolbachan V., / Series math "arxiv.org". 2024.
Let K be a field of characteristic zero. We prove that its motivic cohomology in degree m−1 and weight m is rationally isomorphic to the cohomology of the polylogarithmic complex. This gives a partial extension of A. Suslin theorem describing the indecomposable K3 of a field. ...
Added: July 16, 2026