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 MATHEMATICS On basic groups in $k$-valued logicsG. N. Blokhina, V. B. Kudryavtsev 9 An upper bound for the existence time of the smooth solution of a quasi-linear hyperbolic systemV. A. Borovikov 12 Piecewise polynomial approximation and local approximationsYu. A. Brudnyi 16 Some classes of monocomposition algebrasA. T. Gainov 19 On the theory of branching of solutions of a nonlinear equation in a multidimensional case of branchingA. N. Grin' 22 On solvability in the plane of an elliptic equation of order $2n$ in a class of functions with a growth condition at infinityP. T. Dybov 24 Algebroid functions and holomorphic elements of the homotopy groups of a complex manifoldV. Ya. Lin 28 Imbedding of the topological product of circle-like continuaI. K. Lifanov 32 A proof of Korn’s inequalityP. P. Mosolov, V. P. Myasnikov 36 Set-theoretic operationsI. I. Parovichenko 40 On algebras of operators in a space with indefinite metric of type $\Pi_1$V. S. Shulman 44 FLUID MECHANICS Stability of a homogeneous spiral flow against rotational self-excitationsL. M. Alekseeva 48 PHYSICS Determination of the sedimentation rate and diffusion coefficient of Brownian particles by the method of holographic interferometryM. L. Gurari, A. A. Magomedov, V. A. Nikashin, G. I. Rukman, V. K. Sakharov, B. M. Stepanov 50 The determination of intermolecular interaction potentials in the region of small spacing for $\mathrm{CO}_2$, $\mathrm{N}_2\mathrm{O}$, based on beam elastic scattering dataA. P. Kalinin, V. B. Leonas 53 GEOPHYSICS Semidiurnal migrations of the North-Atlantic and South-Atlantic subtropical anticyclonesR. V. Abramov 67 Radiometric method of detection of hidden cracks in covering glaciersV. V. Bogorodsky, M. N. Vitushkina 69 New data on anomalous magnetic field of the Black Sea troughYa. P. Malovitskiĭ, O. V. Mikhailov, G. V. Osipov, B. D. Uglov 72 Efficiency of solar flaresM. I. Pudovkin, A. D. Chertkov 75 On screening effect of continents determining the atmospheric moisture isotopic composition (based on data concerning tritium space-time distribution in atmospheric precipitation of the northern hemisphere temperate latitudes)V. N. Soifer, V. V. Romanov, N. K. Gasilina, E. I. Roslyi 78 Magnetic fluxes in the magnetosphere tail at different phases of substormYa. I. Fel'dshtein 82 GEOCRYOLOGY Active effect of frozen disperse base on the structure of contact layer of frozen-on iceI. B. Savel'ev 86