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- Russian Academy of SciencesRU55 papers
- Moscow Institute of Physics and TechnologyRU21 papers
- Kotelnikov Institute of Radioengineering and Electronics of the Russian Academy of SciencesRU8 papers
- Lomonosov Moscow State UniversityRU8 papers
- National Research University Higher School of EconomicsRU6 papers
- P.N. Lebedev Physical Institute of the Russian Academy of SciencesRU6 papers
- Independent University of MoscowRU4 papers
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- UiT The Arctic University of NorwayNO4 papers
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122 papers
Quasi-isometric modification of Gromov-Hausdorff distance
Alexei Naianzin
We define a distance analogous to the Gromov-Hausdorff distance that enables the comparison of arbitrary quasi-isometric spaces. We also investigate properties preserved under limi…
Acceptable area of optimal control for a multidimensional system
Sergey Masaev, Georgiy Dorrer, Vladimir Cyganov
A research shows the phase space of the system. The phase space of such a system is determined by the development structure of four subsystems with different objective functions. T…
Bipartite peak-pit domains
Alexander Karpov, Klas Markström, Søren Riis +1
In this paper, we introduce the class of bipartite peak-pit domains. This is a class of Condorcet domains which include both the classical single-peaked and single-dipped domains.…
The Calogero--Bogoyavlenskii--Schiff breaking soliton equation: recursion operators and higher symmetries
I. S. Krasil'shchik, O. I. Morozov
We find two one-parametric families of recursion operators and use them to construct higher symmetries for the Calogero--Bogoyavlenskii--Schiff breaking soliton equation. Then we p…
Extensions of the symmetry algebra and Lax representations for the two-dimensional Euler equation
Oleg I. Morozov
We find the twisted extensions of the symmetry algebra of the 2D Euler equation in the vorticity form and use them to construct new Lax representation for this equation. Then we ge…
Multi-Valued Neural Networks I A Multi-Valued Associative Memory
Dmitry Maximov, Vladimir I. Goncharenko, Yury S. Legovich
A new concept of a multi-valued associative memory is introduced, generalizing a similar one in fuzzy neural networks. We expand the results on fuzzy associative memory with thresh…