Strong Polynomial Completeness of Almost All Quasigroups

Mathematical Notes - In the paper, it is proved that almost all quasigroups are strongly polynomially complete, i.e., are not isotopic to quasigroups that are not polynomially complete.     

Vaidya’s Method for Convex Stochastic Optimization Problems in Small Dimension

Mathematical Notes - The paper deals with a general problem of convex stochastic optimization in a space of small dimension (for example, 100 variables). It is known that for deterministic problems...     

Superior diffusion kinetics and electrochemical properties of α/β–type NaMn0.89Co0.11O2 as cathode for sodium-ion batteries

Journal of Solid State Electrochemistry - Sodium-ion batteries have emerged as an exciting alternative to commercially dominant lithium-ion batteries for electric vehicles and other applications....     

Multitime propagators and the consistency condition

Theoretical and Mathematical Physics - For a nonrelativistic quantum system of $$N$$ particles, the wave function is a function of $$3N$$ spatial coordinates and one temporal coordinate. The...     

A new class of spherically symmetric gravitational collapse

Theoretical and Mathematical Physics - We discuss the gravitational collapse of a spherically symmetric perfect fluid distribution of uniformly contracting stars. In a uniformly contracting star,...     

Quasiharmonic longitudinal wave propagating in a Mindlin–Herrmann rod in a nonlinearly elastic environment

Theoretical and Mathematical Physics - We consider the modulation instability of quasiharmonic longitudinal waves propagating in a homogeneous rod immersed in a nonlinearly elastic medium. The...     

Generalized fractional integral operators on variable exponent Morrey spaces of an integral form

Acta Mathematica Hungarica - We establish the boundedness of generalized fractional integral operators $$I_{\rho}$$ on variable exponent Morrey spaces of an integral form...     

A decision support method for designing vegetation layers with minimised irrigation need

Annals of Operations Research - Selecting a vegetation layer design goes along with determining its future irrigation need. Therefore, it is essential to take a design decision that is minimising...     

Magnetoresistance and Quantum Oscillations in WTe2 Semimetal

Physics of the Solid State - The discovery of extreme magnetoresistance (MR) in nonmagnetic materials attracted attention to WTe2 semimetal. We studied MR in a single crystal of tungsten...     

The Initial Stages of the Onset of a Corona Discharge in a Wet Oxide Layer During the Passage of a High Voltage Current

Russian Physics Journal - The physical and chemical processes occurring in non-metallic inorganic porous coatings during the passage of a high-voltage alternating sinusoidal current through the...