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КОМБИНАТОРНЫЙ АНАЛИЗ СХЕМЫ ПЕРЕСТАНОВОК ОПРЕДЕЛЕННОГО ВИДА СЕРИЙ
Труды Карельского научного центра РАН. Серия 10: Математическое моделирование и информационные технологии. 2021. № 6. С. 85–90.
Enatskaya N.
The article deals with a permutation scheme of size n with r successive series of
increasing elements. I solve the problems of finding the number of outcomes of the
scheme, and design the procedure for their enumeration using r successive schemes
of combinations of an array of different compositions of series of increasing serial
numbers of permutation elements. The numbering problem for outcomes of the
scheme is solved, and their simulation is discussed.
Keywords: permutation scheme; combination scheme; series of increasing serial
numbers of elements.
Ovcharenko M., / Series arXiv "math". 2026.
We introduce an explicit class of tempered Laurent polynomials in the sense of Villegas and Doran--Kerr in n⩽4 variables including all Landau--Ginzburg models for smooth Fano threefolds with very ample anticanonical class. We check that it contains Landau--Ginzburg models for various Fano fourfolds which are complete intersections in smooth toric varieties and Grassmannians of planes, ...
Added: April 30, 2026
Domrin V. I., Malova H. V., V. Yu. Popov et al., Cosmic Research 2026 Vol. 64 No. 2 P. 238–252
During magnetospheric perturbations a relatively thin current sheet with thickness about several
proton gyroradii forms in the Earth’s magnetotail. In a framework of the kinetic model describing current
sheet thinning in the magnetotail, the processes of its formation are investigated depending on the normal
magnetic field magnitude which affects both the current sheet structure and particle dynamics within ...
Added: April 27, 2026
Tsareva O. O., Malova H. V., V. Yu. Popov et al., Plasma Physics Reports 2026 Vol. 52 No. 2 P. 179–185
The influence of asymmetry of plasma sources on the structure and spatial localization of a superthin
current sheet (STCS) supported by demagnetized electrons is studied using a self-consistent model. The
simulation takes into account the presence of a single plasma source in the northern hemisphere, which
makes the plasma flow asymmetric. It is demonstrated that the asymmetry of ...
Added: April 27, 2026
Pochinka O., Yakovlev E., Shmukler V., Russian Journal of Nonlinear Dynamics 2026
Every discrete dynamical system (cascade) generated by a homeomorphism induces a continuous
dynamic system (flow) — a suspension. However, not every flow is equivalent to a suspension
over a cascade, a necessary and sufficient condition for this is the existence of a global
section for the flow. In the case of the existence, the flow is equivalent to ...
Added: April 24, 2026
Kazaryan M., Dunin-Barkowski P., Bychkov B. et al., Selecta Mathematica, New Series 2026 Vol. 32 Article 25
We revise the notion of the blobbed topological recursion by extending it to the setting of generalized topological recursion as well as allowing blobs which do not necessarily admit topological expansion. We show that the so-called non-perturbative differentials form a special case of this revisited version of blobbed topological recursion. Furthermore, we prove the KP ...
Added: April 23, 2026
Kazaryan M., Lando S., Kodaneva N., Journal of Geometry and Physics 2026 No. 225 Article 105841
Weight systems associated to the Lie algebras 𝔤𝔩(N) for N = 1,2,... can be unified into auniversal one. The construction is based on an extension of the 𝔤𝔩(N) weight systems to permutations. This universal weight system takes values in the algebra of polynomials C[N;C1,C2,...] in infinitely many variables. We show that under the substitution Cm ...
Added: April 23, 2026
Kychkin A., Chernitsin I., Прикладная информатика 2026 Т. 21 № 1 С. 40–58
The results of the development of a software microservice embedded in atmospheric air quality monitoring systems to support the identification of industrial pollution sources are presented. The emission and subsequent spread of harmful substances in the lower layers of the atmosphere is dynamic and characterized by high uncertainty due to the specific features of technological ...
Added: April 23, 2026
IEEE, 2026.
Added: April 21, 2026
Galkin O., Galkina S., Ястребова И. Ю., Журнал Средневолжского математического общества 2026 Т. 28 № №1 С. 11–30
Polynomials of least deviation from zero play an important role in the theory and practice of numerical methods. They can be used to solve problems of optimizing the properties of various computational algorithms. Our work is devoted to the study of polynomials of least deviation from zero on a ray in the exponential norm. In ...
Added: April 20, 2026
Zlotnik Alexander, / Series arXiv "math". 2026. No. 2602.03481v1.
We deal with the global in time weak solutions to the 1D compressible Navier-Stokes system of equations for large discontinuous initial data and nonhomogeneous boundary conditions of three standard types. We prove the Lipschitz-type continuous dependence of the solution $(\eta,u,\theta)$, in a norm slightly stronger than $L^{2,\infty}(Q)\times L^2(Q)\times L^2(Q)$, on the initial data $(\eta^0,u^0,e^0)$ in a ...
Added: April 18, 2026
Petrov I., Doklady Mathematics 2026 Vol. Volume 112 P. S103–S110
This paper examines games on networks with linear best responses, which allow for the analysis of how interaction structures influence agents’ strategic behavior. Special attention is given to intervention issues in such models, particularly in selecting optimal intervention strategies aimed at maximizing the central planner’s objective function. Two main control policies are analyzed: individual agent ...
Added: April 17, 2026
A. V. Pereskokov, Theoretical and Mathematical Physics 2026 Vol. 226 No. 3 P. 470–484
We consider the spectral problem for a hydrogen atom in orthogonal electric and magnetic fields with
an additional self-consistent field. We obtain an asymptotic expansion of self-consistent energy levels.
We find an asymptotic expansion of asymptotic eigenfunctions near the sphere |q| = 2. We calculate the
asymptotics of their norm in the space L2(R3). ...
Added: April 12, 2026
Kolachev N., Адамский А. И., Drozdov D. et al., Моделирование и анализ данных 2026 Т. 16 № 1 С. 157–176
Context and relevance. Despite the widespread adoption of the competency-based approach in higher education, a gap remains between the understanding of competence as a dynamic process and the tools available for its design and management. Dominant practices of learning outcomes assessment rely on static “snapshots,” which limits the possibilities for forecasting and purposeful development of competence. ...
Added: April 10, 2026
Zvereva V., Вопросы экономики 2026 № 4 С. 100–129
This paper examines the hypothesis of asymmetric responses of bank interest rates to restrictive and accommodative monetary policy conducted by the Bank of Russia across different market segments, industries, and macroregions over the period 2017—2025. Using a Markov-switching error-correction model, the paper estimates the effects of monetary policy shocks, households’ inflation expectations, firms’ price expectations, ...
Added: April 8, 2026
Petropavlovsky S., Turkel E., Journal of Computational Physics 2026 Vol. 558 Article 114880
We propose a method for the numerical computation of the 3D time-harmonic scattering about objects of complex shape. Our approach relies on the method of difference potentials combined with the lacunae-based integration of the Helmholtz equation. The former allows to handle curvilinear boundaries of scattering shapes on regular Cartesian grids with no loss of accuracy. ...
Added: April 6, 2026
Enatskaya N., Труды Карельского научного центра РАН. Серия 10: Математическое моделирование и информационные технологии 2024 № 4 С. 55–60
A given range of fixed elements of a permutation means a certain number of elements between the elements located at the extremes in the permutation in each sequence. The proposed scheme is analyzed in the pre-asymptotic region of feasible parameter values using the enumerative method designed by the author, i. e., the enumerative combinatorics problems ...
Added: October 27, 2024
Enatskaya N., Труды Карельского научного центра РАН 2023 № 4 С. 71–76
Problems of enumerative combinatorics are solved for the proposed scheme, i. e. the number of its outcomes is determined, their direct listing is constructed, the numbering problem is solved, the probability distribution of the scheme outcomes is found, and a procedure for their modeling is proposed. ...
Added: August 3, 2023
Enatskaya N., , in: APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE’20): Proceedings of the 46th International Conference “Applications of Mathematics in Engineering and Economics”Vol. 2333. Issue 3.: AIP Publishing LLC, 2021. Ch. 2333 P. 150012-1–150012-7.
Added: October 15, 2021
AIP Publishing LLC, 2021.
Added: October 15, 2021
Enatskaya N., Труды Карельского научного центра Российской академии наук 2020 № 7 С. 120–126
The problems of the scheme analysis here consist in arranging the procedure
for enumerating the outcomes of the scheme, determining their number, solving
the problem of numbering these outcomes, and their modelling using the results
obtained here through similar studies of the same scheme but without restrictions.
Keywords: distinguishable particles; combination scheme; minimal elements in
cells. ...
Added: October 17, 2020
Enatskaya N., Промышленные АСУ и контроллеры 2018 № 1 С. 58–61
The direct enumeration of the outcomes by the graph method fulfils and their number is find, the probability of outcomes of the scheme in the general combination scheme. The enumeration is solved for outcomes of the scheme and on this base the algorithm of their quick modelling is suggested. ...
Added: February 8, 2018
Enatskaya N., Труды Карельского научного центра Российской академии наук 2016 № 8 С. 136–140
Outputs of thecircuit are enumerated directly by the graph method, their number and probability in the general combinations circuit are determined, the problem of enumeration of outputs is solved and the algorithm of their rapid modeling is suggestrd on this basis. ...
Added: September 19, 2016
Н.Ю.Энатская, Промышленные АСУ и контроллеры 2015 № 8 С. 33–38
We consider procedures to numbers all outcomes of a combination scheme, establish a one-to-one correspondence between the outcomes and its numbers generated in numbering procedure, and give some methods to simulate the outcomes. ...
Added: November 9, 2015
Н. Ю. Энатская, Промышленные АСУ и контроллеры 2015 № 10 С. 28–31
The notion of the range R of outcomes of a combination scheme is Introduced as the maximal difference between the chosen elements. The number of outcomes of the scheme with limited range R not grater t is defined, their enumeration isfulfilled and the problem of numeration (theproblem of finding one-to-one correspondence between the number of ...
Added: November 9, 2015