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2015, Number 6  


Mathematics
$\mathcal{A}_k$-singularities of curves and surfaces of fixed degree, quasi-degree, or multi-degree
E. A. Astashov
3
Generalized separants of differential polynomials
M. A. Limonov
9
Asymptotics of multiple trigonometric series with monotone coefficients
A. Zh. Ydyrys
14
Estimate of the distance between two bodies inside an $n$-dimensional unit cube and a ball
F. A. Ivlev
23

Mechanics
Elastoplastic models to describe experimental data on the spallation fracture under impact of plates
A. B. Kiselev, A. V. Mischenko
29
An estimate for the number of relative equilibria in the motion of a plane rigid body and a material point under mutual attraction
E. I. Kugushev, V. I. Nikonov
37

Short notes
The functions that do not change types of minimal fillings
S. Yu. Lipatov
42
Realizability of singular levels of Morse functions as unions of geodesies
I. N. Shnurnikov
45
The efficiency of perturbations in the class of linear Hamiltonian systems
T. V. Salova
48
Ricci curvature of a weighted tree
O. V. Rubleva
52
Electric mechanisms of vorticity amplification in the funnel of a tornado
S. A. Maslov
54
Effect of tangential and normal forces on the wave formation in the flow of a liquid film and a gas
A. N. Beloglazkin, V. Ya. Shkadov
58
Formation of positional strategies for a differential game in Krasovskii's method of extremal aiming
S. S. Lemak
61

Academician Anatolii Timofeevich Fomenko
M. I. Zelikin, A. O. Ivanov, B. S. Kashin, A. S. Mishchenko, Yu. V. Nesterenko, A. A. Oshemkov, F. Yu. Popelenskii, V. A. Sadovnichii, A. A. Tuzhilin, V. N. Chubarikov, A. I. Shafarevich, A. N. Shiryaev
66
 
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