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 MATHEMATICS The use of Chaplygin's method in solving the characteristic problem of Cauchy for a second order partial differential equation of the hyperbolic typeG. A. Artemov 791 Some boundary problems for mixed type of equation in a strip and a half-planeN. I. Bakievich 793 An expansion in eigenfunctions of a system of second order differential equationsZ. I. Biglov 797 The inverse of a problem for systems of linear differential equations involving a parameterM. S. Brodskii 800 On the metric dimension of point setsVL. I. Egorov 804 On the differentiability of solutions of elliptical differential equationsA. I. Koshelev 806 The geometric properties of solutions of non-linear systems of partial differential equationsM. A. Lavrent'ev, B. V. Shabat 810 On functions continuous in each variableS. Marcus 812 Extrapolation of homogeneous random fields and the quantity of information on a gaussian random field contained in another gaussian random fieldM. S. Pinsker 815 On a class of operators which depend nonlinearly on a parameterD. F. Kharazov 819 THEORY OF ELASTICITY A die lying on elastic semispace whose modulus of elasticity is a power function of the depthB. G. Korenev 823 PHYSICS Theory of magnetostriction of nickel single crystalsW. F. Brown (jr.) 827 On the note of W. F. Brown, jr. Theory of magnetostriction of nickel single crystalsN. S. Akulov 828 The invariance principle for a homogeneous medium of arbitrary shapeB. B. Kadomtsev 831 Depolarization and intensities in the Raman spectra of benzene and hexadeuterobenzeneM. A. Kovner, B. N. Snegirev 835 Universal relation between the absorption spectra and luminescence spectra of complex moleculesB. I. Stepanov 839 Time correlations in classical statistical systems consisting of a large number of interaction particlesV. V. Tolmachev 842 GEOPHYSICS On the geographic distribution of magnetic disturbances in the AntarcticA. P. Nikol'skii 846 On paleomagnetism as a basis for a new method of correlation and differentiation of sedimentary rocksA. N. Khramov 849 CRYSTALLOGRAPHY X-Ray study of $\mathrm{TiSi}$ and $\mathrm{TiGe}$N. Ageev, V. Samsonov 853 CHEMISTRY The saponification and re-etherification of phosphorous acid estersA. E. Arbuzov, M. G. Imaev 856 The polymerization of styrene under the influence of diazoaminocompounds and activatorsP. A. Vinogradov 860 An investigation of the rôle of plane chains in the production of hydrocarbons from $\mathrm{CO}$ and $\mathrm{H}_2$O. A. Golovina, E. S. Dokukina, S. Z. Roginskii, M. M. Sakharov, Ya. T. Eidus 864 The addition of trialkylphosphites to $\alpha$, $\beta$-unsaturated aldehydesGilm Kamai, V. A. Kukhtin 868 On sulfonation in the aromatic seriesV. O. Lukashevich 872 The alkylation of benzene by propylene in the presence of various phosphoric acids containing fluorine and boron fluorideA. V. Topchiev, V. N. Andronov 876 The production of $p$-xylylene diamine by a catalytic reduction of terephthalic dinitrileL. Kh. Freidlin, A. A. Balandin, T. A. Sladkova 880 PHYSICAL CHEMISTRY Measurement of saturated vapour pressure of solid bismuth by the isotopic exchange methodAn. N. Nesmeyanov, B. Z. Iofa, B. V. Karasev 882 Influence of $\gamma$-rays on the oxidation of cetaneM. A. Proskurnin, Yu. L. Khmel'nitskii, E. V. Barelko, A. T. Slepneva, I. I. Melekhonova 886 The infrared spectra of some secondary aromatic aminesM. A. Salimov, V. M. Tatevskii 890 The influence of an external electric field on chemical reaction in gasB. Timan 894