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2014, Number 2  


Mathematics
General categorical framework for topologically free normed modules
E. A. Gusarov
3
Representation of monomials as a sum of powers of linear forms
S. B. Gashkov, E. T. Shavgulidze
9
Generalized derivatives and integrals of Cesàro–Perron. Type. I
A. V. Dergachev
14
Rings of quotients for rings with big center
D. V. Zlydnev
25

Mechanics
Electromagnetic mechanisms of forming a tornado-like whirlwind
V. L. Natyaganov, S. A. Maslov
31
Elastoplastic problems in the uniaxially strained state approximation. Analytical and numerical solutions
A. B. Kiselev, A. V. Mischenko
37
Relative equilibria in the motion of a triangle and a point under mutual attraction
V. I. Nikonov
45

Short notes
Complete and incomplete systems of exponentials in spaces with a power weight on a half-line
A. M. Sedletskii
52
Estimates of complete rational trigonometric sums with a prime denominator
A. N. Vasil'ev
55
Embedding theorems of different metrics for classes of functions with dominant mixed modulus of smoothness
T. F. Ismagilov
59
Optimization of expedition to Phobos using the impulse control and solution to Lambert problems taking into account attraction of the earth and mars
A. S. Samokhin
62
Flutter of an elastic strip in a longitudinal supersonic flow
D. S. Strogal'shchikov
66
Simulation of self-ignition of aviation kerosene by a shock wave
V. L. Kovalev, A. S. Vetchinkin, A. V. Vagner
69
 
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