An Intelligent Choice of Witnesses in the Miller–Rabin Primality Test. Reinforcement Learning ApproachLobachevskii Journal of Mathematics - Tập 43 - Trang 3420-3429 - 2023
N. Antonov, Sh. Ishmukhametov
The problem of testing natural numbers for primality is an important problem for the Theory of Numbers and Cryptography. The main instrument of Cryptography to determine, if a given odd integer is prime or composite, is the Miller–Rabin primality test. The latter is a probabilistic iterative algorithm consisting of rounds.At each round a special parameter
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The Optimal Processor Cores’ Number Research for the Parallel Cluster Multiple Labeling TechniqueLobachevskii Journal of Mathematics - Tập 41 - Trang 2552-2557 - 2021
S. Yu. Lapshina
The article is about the research of a optimum number of processor cores for launching the Parallel Cluster Multiple Labeling Technique in the course of conducting simulation experiments during multi-agent modeling of the spread of mass epidemics on modern supercomputer systems installed in the JSCC RAS. This technique may be used in any field as a tool for differentiating large lattice clusters, ...... hiện toàn bộ
The structure of essential spectra and discrete spectrum of four-electron systems in the Hubbard model in a singlet stateLobachevskii Journal of Mathematics - Tập 38 - Trang 530-541 - 2017
S. M. Tashpulatov
We study the spectral properties of four-electron systems in the Hubbard model in the quintet and singlet states. We proved the essential spectra of the four-electron systems in the quintet state is a single segment, and four-electron anti-bound states or four-electron bound states is absent. In the system exists two four-electron singlet states, and they are different origins. In the singlet stat...... hiện toàn bộ
Modification of the Grid-Characteristic Method on Chimera Meshes for 3D Problems of Railway Non-destructive TestingLobachevskii Journal of Mathematics - Tập 44 - Trang 376-386 - 2023
A. Kozhemyachenko, A. Favorskaya, E. Pesnya, V. Stetsyuk
In this work we have improved the grid-characteristic method on Chimera meshes for simulation of waves phenomena into straight cylinders with arbitrary base. We have considered the obtained algorithm on the example of the problem of ultrasonic non-destructive testing of a railway. Chimera computational meshes have also used to treat the complex shape of the railway section. We have obtained and an...... hiện toàn bộ
On the Second Initial-boundary Value Problem for Parabolic Equation, Containing Mixed DerivativesLobachevskii Journal of Mathematics - - 2019
V. Formalev, L. Rabinskiy
In this work new analytical solution of the second initial-boundary value problem of the theory of thermal conductivity in a general anisotropic strip has been found considering that heat transfer characteristics are not scalar values but second symmetric tensors. The theorems about the existence and uniqueness of found solution have been proved.
About Optimal Management of Work-Stealing Deques in Two-Level MemoryLobachevskii Journal of Mathematics - Tập 42 Số 7 - Trang 1475-1482 - 2021
Aksenova, E. A., Lazutina, A. A., Sokolov, A. V.
This paper analyzes the problem of optimal control of two work-stealing deques in two-level memory (for example, registers—random access memory), where probabilities of parallel operations with deques are known. The classic sequential cyclic method for representing a deque in memory is considered. In the case of the deque overflowing in fast memory or emptying the FIFO-part or LIFO-part the necess...... hiện toàn bộ