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Правило транзитивности против нетранзитивности выбора
Наука и жизнь. 2017. № 3. С. 130–137.
Language:
Russian
Podinovskiy V. V., Нелюбин А. П., Автоматика и телемеханика 2026 № 8 С. 110–123
Для многокритериальных задач принятия решений по аналогии с качественной вероятностью введены понятия полной и частичной качественной важности как бинарных отношений, обладающих постулируемыми
свойствами. Предложено новое определение отношения нестрогого предпочтения на множестве вариантов решений, порождаемое качественной
важностью. Исследованы его свойства. Указаны аналитические правила,
позволяющие попарно сравнивать варианты по предпочтительности. Проведено сравнение новых отношений предпочтения с разработанными ранее для задач, ...
Added: September 9, 2026
Podinovskiy V. V., Нелюбин А. П., Автоматика и телемеханика 2026 № 7 С. 113–126
Рассматриваются задачи принятия решений, когда предпочтения оцениваются в порядковой шкале, а возможности реализации значений
неопределенного фактора описываются качественной вероятностью (полной или только частичной). Вводятся определения отношений предпочтения и безразличий на множестве стратегий. Предлагаются простые
решающие правила, позволяющие сравнивать стратегии по предпочтительности, и приводятся иллюстративные примеры. ...
Added: September 9, 2026
Chemical Papers 2026
Benzenoid hydrocarbons are structurally regular aromatic compounds, which makes them well suited for quantitative structure–property relationship (QSPR) studies. This study presents a QSPR analysis of nineteen benzenoid hydrocarbon species using degree-based topological co-indices. We developed a Python program to compute eleven degree-based topological co-indices from molecular graphs and evaluated their ability to explain variations in ...
Added: September 8, 2026
Ребрейкина А. Б., Liaukovich K., Современная зарубежная психология 2024 Т. 13 № 2 С. 33–43
Создание методик диагностики на основе анализа движений глаз является особенно актуальным для оценки когнитивных функций у детей, которые не могут дать речевой или моторный ответ в силу своего возраста или из-за нарушений развития. Для таких детей использование объективных методов оценки когнитивных функций на основе айтрекинга может стать полезным диагностическим инструментом, дополняющим традиционные поведенческие опросники и ...
Added: September 8, 2026
Ребрейкина А. Б., Liaukovich K., Современная зарубежная психология 2023 Т. 12 № 4 С. 51–61
Активное развитие метода видеоокулографии, т. е. регистрации движений глаз, создает возможности для создания новых подходов для развития когнитивных функций и обучения. Методики, основанные на видеоокулографии, могут быть полезны не только для детей с серьезными нарушениями моторных функций, но и детей с нарушениями развития когнитивных функций, прежде всего внимания, так как контроль движений глаз тесно связан ...
Added: September 8, 2026
Портнова Г. В., Liaukovich K., Васильева Л. Н. et al., Журнал высшей нервной деятельности им. И.П. Павлова 2022 Т. 72 № 4 С. 504–519
Когнитивная и эмоциональная нагрузка в ходе увеличения сложности задач приводит к активации различных звеньев вегетативной нервной системы и может сопровождаться как увеличением эффективности решения задач, так и способствовать дестабилизации эмоционального состояния и уменьшению продуктивности. Увеличение когнитивной нагрузки при условии высокой мотивации испытуемых является стрессовым фактором и выражается в различной реакции симпатического и парасимпатического звеньев в ...
Added: September 8, 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
Glutsyuk A., / Series arXiv "math". 2026.
A planar dual billiard is a planar curve γ equipped with a family (σP)|P∈γ of projective involutions of the projective lines LP tangent to γ at P that fix P. A dual billiard is called rationally integrable, if there exists a rational function R(x,y) of two variables (called first integral) whose restriction to each tangent ...
Added: September 8, 2026
Alexandrov A., Glutsyuk A., Journal of Differential Equations 2026 Vol. 465 Article 114178
The overdamped Josephson junction in superconductivity theory can be modeled by the family of dynamical systems on the torus, which is known as the RSJ model. This family admits an equivalent description by a family of second-order differential equations: special double confluent Heun equations. In the present paper, we construct two new families of dynamical systems on ...
Added: September 8, 2026
Glutsyuk A., Inventiones Mathematicae 2026 Vol. 245 P. 977–1058
A caustic of a strictly convex planar bounded billiard is a smooth curve whose tangent lines are reflected from the billiard boundary to its tangent lines. The famous Birkhoff Conjecture, studied by many mathematicians, states that if the billiard boundary has an inner neighborhood foliated by closed caustics, then it is an ellipse. In the paper we study ...
Added: September 8, 2026
Yu E. C., Lui A., Andrade H. et al., Educational Assessment 2026 P. 1–26
Feedback often promotes student learning. Research has focused on delivering high-quality feedback, yet too little is known about how students respond to feedback, and whether and why it serves its intended purposes. This study is an investigation of how college students responded to feedback on their self-regulated learning (SRL). After taking an online assessment of ...
Added: September 8, 2026
Prikhodko Artem, Kubrak D., Compositio Mathematica 2026 Vol. 162 No. 6 P. 1377–1438
In this follow-up paper we show that smooth Hodge-proper stacks over O𝐾 are ℚ𝑝-locally acyclic: namely the natural map between étale ℚ𝑝-cohomology of the algebraic and Raynaud generic fibers is an equivalence. This establishes the ℚ𝑝-case of general conjectures made in D. Kubrak and A. Prikhodko [p-adic Hodge theory for Artin stacks, Mem. Amer. Math. ...
Added: September 7, 2026
Ismailov A., Constructive Approximation 2026
The measure of the positivity set {x ∈ [0; 2π] | f (x) > 0} of a trigonometric polynomial f is bounded from below by the Motzkin density.
We generalize the bound to polynomials in several variables and almost periodic functions.
We then use these generalizations to extend known results on Taikov’s problem. ...
Added: September 7, 2026
Shaitan A., Ke Y., Hongjun Y. et al., PLoS Computational Biology 2026 Article e1013836
The interaction between peptides and human leukocyte antigen class II (HLA-II)
molecules plays a pivotal role in adaptive immune responses, as HLA-II mediates
the recognition of exogenous antigens and initiates T cell activation through peptide
presentation. Accurate prediction of peptide-HLA-II binding serves as a cornerstone
for deciphering cellular immune responses, and is essential for guiding the optimization
of antibody therapeutics. ...
Added: September 7, 2026
Proskurnina E., Liaukovich K., Bychkovskaya L. et al., Metabolites 2023 Vol. 13 No. 1 P. 73
Added: September 7, 2026
Liaukovich K., Sazhin S., Bobrov P. et al., International Journal of Molecular Sciences 2022 Vol. 23 No. 19 P. 11785
Added: September 7, 2026
Liaukovich K., Ukraintseva Y., Martynova O., Neuropsychologia 2022 Vol. 165 P. 108129
Added: September 7, 2026
Alshanskaia E., Portnova G., Liaukovich K. et al., Frontiers in Neuroscience 2024 Vol. 18
Added: September 7, 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
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
Konakov V., Kucher D., Mammen E., / Series arXiv "math". 2026. No. 2606.11142v1.
In this paper, we construct strong approximations for discrete-time Markov chains weakly converging to continuous diffusion processes, as well as for their perturbed counterparts. Under the assumption of bounded coefficients, we construct closely coupled versions of these processes on a shared probability space. In particular, for both non-degenerate and degenerate cases, we maximize the probability ...
Added: June 11, 2026