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Физика для профессий и специальностей технического и естественно-научного профилей. Сборник задач
M. :
-, 2013.
Trofimova T., Фирсов А. В.
Language:
Russian
Mysin I. E., Dubrovin S. V., Cognitive Neurodynamics 2026 Vol. 20 No. 191 P. 1–30
The hippocampal theta rhythm is crucial for memory and navigation. It is paced by parvalbumin-expressing GABAergic neurons in the medial septum. These neurons segregate into two subpopulations—Teevra and Komal cells—which fire in anti-phase bursts at theta frequency, with a stable phase shift of approximately 150 degrees, and exhibit mutual inhibition. While essential, the network mechanism ...
Added: November 14, 2026
Ермолаев Е. С., Chernyshev V. L., Skripchenko A., Journal of Nonlinear Science 2026 Vol. 36 No. 122 (2026) P. 1–37
We study upper bounds for the moment of permanent -saturation in finite metric graphs. The dynamics is generated by moving points travelling with unit speed along edges and branching into all outgoing directions whenever they reach a vertex. We first reformulate this branched dynamics in terms of birth times at vertices and prove a sufficient ...
Added: November 12, 2026
Alfimov Mikhail, Kurakin Andrey, Journal of High Energy Physics 2026 Vol. 2026 Article 99
We continue studying regularization scheme dependence of the 𝒩 = 2 supersymmetric sigma models. In the present work the previous result for the four loop β-function is extended to the five loop order. Namely, we find the renormalization scheme, in which the fifth loop contribution is completely eliminated, while the fourth loop contribution is represented ...
Added: November 12, 2026
Shehtman V. B., Shkatov D., Review of Symbolic Logic 2026 Vol. 19 No. 4 P. 859–882
We study Kripke completeness for predicate modal logics with propositional axioms of bounded alternativity corresponding to the condition on Kripke frames that every world sees at most n worlds. We prove that minimal predicate modal logics with axioms of bounded alternativity, as well as their extensions with the axiom of reflexivity, are strongly Kripke complete, whereas the ...
Added: November 12, 2026
Малюкова П. А., Baksheeva K., Рудаков К. И. et al., Письма в Журнал технической физики 2026 Т. 52 № 23 С. 27–30
This paper presents the results of a study on human skin emission under mental stress at a frequency of 247 GHz. An experimental setup based on a receiver utilizing a superconductor-insulator-superconductor (SIS) junction was developed. The study was conducted with 22 volunteers aged 18 to 73. The correlation between the SIS-junction-based detector and a galvanic ...
Added: November 12, 2026
Baksheeva K., Zhurin Y., Ozhegov R. et al., Письма в Журнал технической физики 2026 Т. 52 № 23 С. 19–22
This paper presents a study on the characteristics of terahertz (THz) emission from human skin under mental stress. The research was conducted using a single-pixel THz camera based on a superconducting integrated receiver. The resulting brightness-temperature images revealed localized spikes in the area of the bridge of the nose and the brow ridges, which may ...
Added: November 12, 2026
Ignatev M., Vilkin T., Mediterranean Journal of Mathematics 2026 Vol. 23 No. 2 Article 70
Trinomial varieties are affine varieties given by a system of equations consisting of polynomials with three terms. Such varieties are total coordinate spaces of normal varieties with torus action of complexity one. For an affine variety X, we consider the subgroup SAut(X) of the automorphism group generated by all algebraic subgroups isomorphic to the additive ...
Added: November 12, 2026
Maksaev A., Promyslov V., Тишутин П. С., Записки научных семинаров ПОМИ РАН 2026 Т. 554 С. 218–235
Let K be an algebraically closed field and let ℰₖ be the set of n × n matrices over K with exactly k distinct eigenvalues. Previously, the classification of linear maps T: Mₙ(K) → Mₙ(K) satisfying T(ℰₙ) ⊆ ℰₙ was obtained for invertible maps over fields of characteristic 0. In this paper, the classification is ...
Added: November 11, 2026
Budkov Y., The European Physical Journal E - Soft Matter 2026 Vol. 49 No. 105
We calculate fluctuation-induced contributions to the shear and configurational bulk viscosities arising from Korteweg stresses in a Gaussian scalar-field theory. Starting from the Ginzburg--Landau functional, we derive the stress tensor and examine its gauge freedom. The longitudinal stress is then subjected to the Mori projection. In
the symmetric Gaussian phase the projection onto the order-parameter zero ...
Added: November 11, 2026
Barinova M., Tirskaya Karina, Владикавказский математический журнал 2026 Vol. 28 No. 3 P. 25–43
In this paper, the problem of the existence of an energy function for discrete dynamical systems defined by structurally stable diffeomorphisms is studied. For the considered class of dynamical systems, such a function is defined as a continuous function that decreases along the orbits of the system outside the non-wandering set and remains constant on ...
Added: November 11, 2026
Illarionov A., Математический сборник 2026 Т. 217 № 11 С. 56–87
Let $b(\alpha;T)$ be the number of best simultaneous Diophantine approximations with common denominator $\le T$ to the point $\alpha \in {\Bbb R}^n$. We derive asymptotic formulas for the mean value of this quantity (averaging is performed over all rational points of the form $\alpha = (k_1/N,\ldots, k_n/N)$, $N\le R$), as well as for its mathematical ...
Added: November 10, 2026
Minaev V., Измерительная техника 2026 Т. 75 № 5 С. 54–65
Для высокоточного контроля формы поверхностей оптических деталей применяют интерферометры Физо. Интерферометры Физо с общим путём используют для измерений такого параметра, как отклонение от плоскостности и сферичности (максимального размаха) PV (peak-valley), так как данная конструкция предотвращает влияние аберраций оптической системы на результаты измерений. При настройке интерферометра Физо на нулевую полосу, когда опорный и предметный пучки проходят ...
Added: November 10, 2026
Minaev V., Оптический журнал 2026 Т. 93 № 10 С. 43–52
Предмет исследования. Метод абсолютной калибровки интерференционного микроскопа с использованием поверхности жидкости в качестве эталонной плоскости. Цель работы. Повышение точности измерений профиля поверхности оптических деталей с помощью интерференционного микроскопа за счёт коррекции аберраций оптической системы с использованием жидкого эталонного зеркала. Метод. Метод двух экспозиций с вычитанием фазовых изображений эталонной поверхности. Сравнение результатов измерений высоты ступеньки с использованием жидкого зеркала в качестве ...
Added: November 10, 2026
Minaev V., Оптический журнал 2026 Т. 93 № 10 С. 31–42
Предмет исследования. Интерференционный метод измерений отклонений от плоскостности оптических поверхностей крупногабаритных плоских оптических элементов на базе интерферометра «PhSh-Лямбда» и оценка эффективности алгоритмов обработки интерферограмм в условиях вибрационных и воздушных возмущений. Цель работы. Расширение возможностей интерферометра «PhSh-Лямбда» путём использования его в качестве базового приёмно-передающего блока для широкоапартурного неравноплечного интерферометра Тваймана–Грина при контроле крупногабаритных плоских оптических элементов диаметром до 600 мм. ...
Added: November 10, 2026
Minaev V., Оптика и спектроскопия 2026 Т. 134 № 11 С. 1382–1390
Исследованы методы восстановления фазового распределения из интерферограмм при контроле формы и топографии поверхностей оптических элементов с целью разработки подхода, позволяющего выполнять реконструкцию фазы методом фазовых шагов по одной интерферограмме в полосах конечной ширины. Для этого, используя метод Фурье, вначале синтезируется набор сдвинутых по фазе интерферограмм, по которым с помощью метода фазовых шагов восстанавливается фазовое распределение. ...
Added: November 10, 2026
Alexey A. Sokolik, Azat F. Aminov, Vdovin E. et al., Applied Physics Letters 2026 Vol. 129 No. 16 P. 1–6
Electron tunneling between sheets of bilayer Bernal graphene twisted at different small angles was studied experimentally and theoretically. The current-voltage characteristics exhibit resonant peaks, steps, and regions of negative differential resistance, the origin of which is explained by the intersections of energy- and momentum-shifted electron dispersions of adjacent layers. A theoretical analysis of tunneling transport ...
Added: November 10, 2026
Vereshchagin N., Математический сборник 2026 Т. 217 № 10 С. 3–46
Теорема Гудмана-Штрауса утверждает, что для “почти всякой” подстановки семейство подстановочных замощений софично, т.е. может быть задано локальными правилами для некоторой раскраски плиток. Условия на подстановку, гарантирующие софичность, довольно сложные.
В настоящей работе мы предлагаем версию теоремы Гудмана-Штрауса с более простыми условиями на подстановку. Хотя эти условия достаточно ограничительны, мы показываем, что в сочетании с двумя простыми приемами (взятием достаточно ...
Added: November 10, 2026
Guskov T., Gerke K., Kondratyuk N. et al., Molecular Simulation 2026 Vol. 52 No. 7 P. 546 – 555
Equilibration is often assumed rather than tested in molecular dynamics studies of confined liquid–liquid interfaces, even though different physical properties may relax on different time scales. In this work, equilibration is examined using an automated truncation method based on the marginal standard error rule. Interfacial geometry, wetting behaviour, and density-related properties are analysed for liquid–liquid ...
Added: November 10, 2026
Lukyanchuk V., Norman G., Kondratyuk N. et al., Scientific Reports 2026 Vol. 16 No. 1 Article 16435
Previously, it has been effectively shown that nuclear quantum effects (NQE) considerably influence the prediction of the warm dense hydrogen phase diagram. Here, we study the influence of NQE on the parameters of the conducting state formation in warm dense hydrogen using path integral molecular dynamics (PIMD) within the framework of the finite temperature density ...
Added: November 10, 2026
Zhurin Y., Baksheeva K., Ozhegov R. et al., Цифровая обработка сигналов 2026 № 3 С. 24–29
This paper presents a software tool developed for processing terahertz thermal images of the human face acquired during a controlled psychophysiological experiment. In the experiment, a 500 GHz single-pixel detector combined with a two-mirror scanning system forms a sequence of low-resolution thermal frames (700×51 pixels) of the subject’s face while the person undergoes relaxation and ...
Added: November 9, 2026
Lyskov D., Coron B., / Series math "arxiv.org". 2026.
Added: November 5, 2026
Sakharova N., / Series arXiv "math". 2026. No. 2610.17258.
The higher Green's functions Gk/2(z,w) on the modular curve are real-valued eigenfunctions of the hyperbolic Laplacian in each variable, with logarithmic singularities along the diagonal. Gross and Zagier conjectured that their values at CM points, after multiplication by suitable powers of the discriminants, are logarithms of absolute values of algebraic numbers. The conjecture was proved ...
Added: November 4, 2026
Levin A., Sakharova N., / Series arXiv "math". 2024. No. 2412.17795.
The modular curves serve as excellent objects for testing conjectures in arithmetic geometry. They possess a natural geometric definition in contrast with rather nontrivial structure. On the other hand, they are well-studied from the perspective of number theory. Furthermore, there is a well-developed and powerful analytic technique available. We will use the square of the ...
Added: November 4, 2026
Sergey Slavnov, / Series math "arxiv.org". 2026.
A prototypical example of categorial grammars are those based on Lambek calculus, i.e. noncommutative intuitionistic linear logic. However, it has been noted that purely noncommutative operations are often not sufficient for modeling even very simple natural language phenomena. Therefore a number of alternative formalisms are considered in the literature: those using purely ``commutative'' linear logic ...
Added: October 29, 2026