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Производящая функция компонент тензора Эйлера-Пуансо
Доклады Российской академии наук. Физика, технические науки. 2021. Т. 498. С. 53–56.
Burov A. A., Nikonova E.
The generating functions enable to calculate the components of the Euler–Poinsot tensor using differentiation are introduced. The role of these functions is similar to the role of generating functions in mathematical statistics, enabling one to calculate statistical moments of any order. The properties of these functions are discussed.
Language:
Russian
Goncharov A., Chibisov A., Advanced Theory and Simulations 2023 Vol. 12 No. 13 Article 2200816
Designing stable quantum computers with the ability to correct errors responsibly requires a detailed understanding of the physical processes that underlie these devices. In this study, detailed quantum mechanical simulations of the atomic structure, charge distribution of electron density, and distribution and orientation of magnetic and quantum states as a function of applied external pressure ...
Added: October 11, 2026
Chibisov A., Gnidenko A., Chibisova M. et al., FlatChem 2023 Vol. 41 Article 100533
Manufacturing precise quantum computers with small errors in quantum operations, long coherence times, and low power consumption is the most important challenge in modern nanoelectronics. To understand the operating modes of such calculators in detail, both the optimal arrangement of the qubit system within the structure and changes in its magnetic properties must be comprehensively ...
Added: October 11, 2026
Wu Z., Yu Y., Chibisov A., Materials Today Energy 2023 Vol. 37 Article 101414
The limited availability of lithium metal resources has led to the development of sodium/potassium-ion batteries due to the abundance and low cost of sodium/potassium. However, finding suitable cathode materials with high capacity, stable cycling performance, and efficient electrochemical interface is still challenging. Herein, the honeycomb layered structures of P2-type A2Ni2TeO6 (A = Na, K) have been explored ...
Added: October 11, 2026
Prokhorenko A., Chibisov A., Gnidenko A. et al., The Journal of Physical Chemistry Letters 2024 Vol. 15 No. 41 P. 10295–10300
The development of ultrathin magnets with tunable magnetic properties is essential for advancing quantum computing technologies. In this study, density functional theory (DFT) calculations were employed to investigate the atomic and electronic structures of a ZnO monolayer embedded with cobalt atoms. The impact of spin dynamics on charge transfer within the Co:ZnO system was thoroughly ...
Added: October 11, 2026
Chibisov A., Chibisova M., Modern Electronic Materials 2025 Vol. 71 P. 99–103
The problem of creating energy-efficient quantum computers capable of performing quantum operations without errors is a significant scientific challenge in modern nanoelectronics. This type of computer can be developed using quantum transistors that contain hole qubits and are capable of performing operations on them. Hole qubits are a promising technology for quantum computers due to ...
Added: October 11, 2026
Tyagi V., Srivastava A., Mangal A. et al., Surfaces and Interfaces 2025 Vol. 73 Article 107591
The present work reports the suitability of Functionalized graphene sheet as a sensing material for detecting the diabetes biomarker acetone from Exhaled breath. The adsorption of Acetone on Boron/Nitrogen doped graphene sheet has been investigated using the Density Functional theory (DFT). The interaction between acetone and the graphene surface has been investigated in terms of ...
Added: October 11, 2026
Bulakh S., Chibisov A., Srivastava A., Russian Microelectronics 2026 Vol. 55 P. 311–315
The effect of sulfur vacancies on the electronic structure of a molybdenum disulfide (MoS2) monolayer has been studied using density functional theory (DFT) methods implemented in the VASP software package. The ideal structure and systems with one and two sulfur vacancies and various options of defect localization in the MoS2 structure have been discussed. A ...
Added: October 11, 2026
Vangapandu E., Agrawal S., Kumar S. et al., Materials Science in Semiconductor Processing 2026 Vol. 211 Article 110752
Silicides are widely used as local interconnects in integrated circuits (ICs); thus, their nanostructures shall enjoy significant process compatibility with the IC technology. This work reports the utilization of Gold (Au), copper (Cu), and aluminium (Al)-based mono-silicide nanotubes (zig-zag (ZZ) and armchair (AC)) for nanoscale interconnect applications, through a material-device-circuit co-modelling approach. These nanotubes exhibit ...
Added: October 10, 2026
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
Ozhegov R., Махлуф М., Goltsman G. et al., Инженерная физика 2026 № 8 С. 27–39
This paper investigates the theoretical limits of object detection within isotropic scattering media using single-photon lidar. Within a simplified model, we derive the fundamental relationship between the maximum attainable detection range and the required photon count per pulse. Two distinct limiting regimes are analyzed: the ballistic photon regime, which maintains high spatial resolution but necessitates ...
Added: October 8, 2026
Didenkulova E., Chugunov V., Didenkulova I., Wave Motion 2026 Vol. 147 Article 103787
This work presents a new analytical solution of the shallow water theory for cylindrical propagation of long tsunami-like waves in the basin of variable depth. Considered model cases are related to tsunami wave propagation from an asteroid fallen into the sea, or from underwater volcanic eruptions. The corresponding bottom geometries represent radially symmetric obstacles such ...
Added: October 8, 2026
Flamarion M., Didenkulova E., Pelinovsky E., Physics Letters A 2026 Vol. 598 Article 132218
In this letter, bipolar solitary wave interactions in the Schamel equation are revisited numerically. Two simulation settings are considered: repeated collisions in a periodic domain, and the interaction of a positive solitary wave with a train of negative polarity solitary waves of equal amplitude. In the first case, when the amplitudes are comparable, the larger ...
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
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
Didenkulova E., Flamarion M., Pelinovsky E., Physica D: Nonlinear Phenomena 2025 Vol. 481 Article 134815
A comparison of the statistical characteristics of a rarefied soliton gas is carried out within the framework of integrable and non-integrable equations from the Korteweg-de Vries (KdV) hierarchy. As examples, multi-soliton solutions of the modified KdV equation, and the modular Schamel equation are considered. A common property of the dynamics of bipolar solitons is the ...
Added: March 11, 2026
Flamarion M. V., E. Pelinovsky, E. Didenkulova, Physics of Wave Phenomena 2025 Vol. 33 No. 1 P. 9–19
The present paper is devoted to the study of the dynamics of narrowband wave fields within the
nonintegrable Schamel equation, which plays an important role in plasma physics, wave dynamics in metamaterials,
and electrical circuits. A Monte Carlo approach is used to obtain a large number of random independent
realizations of the wave fields, allowing for an investigation ...
Added: March 23, 2025
A. E. Rassadin, Журнал Средневолжского математического общества 2023 Vol. 25 No. 1 P. 542–533
In the present paper, a nonlinear countable-dimensional system of integrodifferential equations is investigated, whose vector of unknowns is a countable set of functions of two variables. These variables are interpreted as spatial coordinate and time. The nonlinearity of this system is constructed from two simultaneous convolutions: first convolution is in the sense of functional analysis ...
Added: April 4, 2023
Didenkulova E., Талипова Т. Г., Диденкулов О. И., Экологические системы и приборы 2022 № 12 С. 55–64
The article presents the results of numerical simulation of the dynamics of solitary internal waves’ ensembles in a stratified (vertically inhomogeneous) ocean for hydrophysical conditions close to those on the Indian Ocean shelf. Ensembles of unipolar and bipolar solitons, as well as solitons and breathers with random amplitudes and phases are considerate. Estimates of the statistical characteristics of ...
Added: January 31, 2023
Tatiana V. Tarasova, Alexey V. Slunyaev, Communications in Nonlinear Science and Numerical Simulation 2023 Vol. 118 Article 107048
Synchronous collisions of solitons of the Korteweg–de Vries equation are considered as a representative example of the interaction of a large number of solitons in a soliton gas. Statistical properties of the soliton field are examined for a model distribution of soliton amplitudes according to a power law. N-soliton solutions (N ≤ 50) are constructed
with the help ...
Added: December 18, 2022