Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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1989, Number 1  

Mathematics
Automorphisms of a system of MAX-matrices
O. D. Ermolaeva 		3–8
An estimate in linear regression models
A. G. Gadzhiev 		8–13
A blow-up tree for vector fields with a fixed Newton diagram
N. B. Medvedeva 		13–17
Existence of analytic solutions of linear differential equations for measures on a Hilbert space
A. M. Zemlyansky 		17–21
An asymptotic formula for an arithmetic sum
Nguen Khak Tkhan' 		21–26
Tangential properties of topological spaces
A. V. Arkhangel'skii, B. M. Bokalo 		26–29
An additive problem with power-free numbers
V. N. Chubarikov 		29–37
Equivariant projection spectra of a paracompact $G$-space
M. O. Okroyan 		37–40
Mappings that are co-absolute to a projection that is parallel to the Cantor perfect set
I. Bandlov 		40–44
Approximation of the values of some functions
N. I. Derevyanko 		45–49

Mechanics
Theory of two-dimensional stable elastic-plastic waves
A. L. Pavlenko, A. O. Kybyraev 		50–54
Penetrating an obstacle by a normal impact of a deformable truncated cone
A. Ya. Sagomonyan, Ya. P. Dvorkin 		54–60
Optimality of linear algorithms in the “worst correlation” problem
A. I. Matasov 		61–63
Permanent rotation of a heavy rigid body in a magnetic field
N. M. Marsheva 		64–68
A mathematical model of the semicircular canal of the vestibular system as an angular acceleration sensor
T. G. Astakhova 		69–72
Intercardinal deviation of a ground gyro compass
V. I. Borzov, G. F. Bublik, V. V. Tyabina 		72–79
A flow around a sphere filled with ideal liquid in a helical motion
N. A. Slezkin 		79–84

Short notes
On the uniqueness of a solution of problems of optimal control
O. Yu. Imanuvilov 		85–88
Characterization of dimension $\operatorname{ind}\omega X$ for a space $X$
S. V. Vlasov 		88–90
A model of sparse scatterers for the Schrödinger operator on a free group
A. G. Golitsyna 		90–92
Solutions of second-order elliptic equations in nondivergence form that are defined in an unbounded domain
A. V. Neklyudov 		93–95
Radicals of semigroup rings of complete $0$-simple semigroups
A. G. Sokolskii 		95–97
Properties of polynomials
V. V. Zabelin 		98–100
Lattices of root type in the Lie algebras $D_{2^m}$ and $B_{2^m-1}$
Pham Huu Tiep 		100–102
Asymptotics of the integrated density of states and the Lyapunov exponent with a large coupling constant
D. V. Sokolov 		103–105
Pure birth processes in a random environment
E. B. Yarovaya 		105–109
 
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