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 MATHEMATICS Expansion theorems connected with boundary problems for equation $u_{xx}-K(x)u_{tt}=0$ within the strip $0\le x\le1$ with degeneration or singularity at the boundaryR. G. Barantsev 9 Some problems concerned with large deviations of the maximum of sums of independent equally distributed random variablesA. A. Borovkov 13 On areal measure in quasiconformal mappingP. P. Belinskii 16 On the orthogonal subgroups of classical compact Lie groupsA. M. Vasil'ev 18 Oscillation equations with slowly variable parametersV. M. Volosov 22 The asymptotic behaviour of a solution of difference equationsM. A. Evgrafov 26 On the expansion in characteristic vector-functions of non-selfadjoint second order differential systemsV. M. Kabanova 30 On an “exact estimate” of the multipliers of second order differential equations with periodical coefficientsT. M. Karaseva 34 The asymptotic solutions of the equations of motion for a dissipative system with one degree of freedom and slowly variable parametersG. E. Kuzmak 37 Hypersurface in the space of projective connectionG. F. Laptev 41 Polyhedral spectra and the dimensionalities of bicompacts, especially of bicompact groupsB. Pasynkov 45 The extrapolation of random vector processes and the quantity of information contained in a stationary random vector process relative to another one stationarily connected with itM. S. Pinsker 49 Maximum correlation coefficient (non-symmetrical case)O. V. Sarmanov 52 Nomographic methods for an approximate representation of a function of one variableG. S. Khovanskii 56 FLUID MECHANICS Displacement of a two-component mixture in the case when the viscosity of one of the components is lowD. A. Efros 59 MATHEMATICAL PHYSICS On the relation between $S$-matrix and potential for the one-dimensional Schrödinger operatorL. D. Faddeev 63 PHYSICS Phase transformations when water is compressed by strong shock wavesL. V. Al'tshuler, A. A. Bakanova, R. F. Trunin 67 A simultaneous observation of Raman effect and fluorescenceP. P. Shorygin, T. M. Ivanova 70 ELECTRICAL ENGINEERING A probability investigation of a two-stage busy signal telephone system with random huntingG. P. Basharin 101 CHEMISTRY On the reduction of the $\Delta^3$-carene oxideB. A. Arbuzov, Z. G. Isaeva 105 The interaction of hydrocarbon autooxidation inhibitors with alkyl and peroxy radicalsK. I. Ivanov, E. D. Vilianskaya 107 Absorption spectra of molecular complexes formed by 9-($p$-dimethylaminostyryl)-acridine and 10-ethyl-9($\beta$-carbometoxyethyl)- acridine iodideV. A. Izmailsky, L. D. Vishnevskii 111 A triclinic modification of polytheneA. I. Kitaigorodskii, Yu. V. Mnyukh 115 The synthesis of methyl ferroceneA. N. Nesmeyanov, È. G. Perevalova, L. S. Shilovtseva, Z. A. Beinoravichute 117 The synthesis of silicon containing simple vinyl ethersA. D. Petrov, S. I. Sadykh-zade 119 PHYSICAL CHEMISTRY A spectral study of the interaction of two dyes in solutionKh. L. Arvan 123 The electrochemical behaviour of zirconium in sulphuric acidN. A. Balashova, B. N. Kabanov 126 Adsorption of $\mathrm{Cs}^+$ ions on mercury electrode surfaceB. B. Damaskin, N. V. Nikolaeva-Fedorovich, A. N. Frumkin 129 The photographic activity of gelatinA. L. Karpova, A. A. Mikhailova, K. V. Chibisov 133 Water wetting heats of etherificated celluloseE. F. Nekryach, A. V. Dumanskii 136