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 MATHEMATICS Approximation of differentiable functions by Fourier-Hermite sumsV. A. Abilov, S. A. Agahanov 1247 Complexity of programs which recognize whether natural numbers not exceeding $n$ belong to a recursively enumerable setJ. M. Barzdiņš 1249 A single product dynamical model with bounded structureI. G. Globenko 1253 The occurrence of discontinuities when extending solutions of nonlinear mixed problems for hyperbolic equations on the planeV. N. Gol'dberg 1257 A class of pseudodifferential operatorsYu. V. Egorov 1261 The Cauchy problem for a certain class of second order nonlinear differential equations in Hilbert spaceT. Kh. Enikeeva 1264 Structure of the basic set classes of topological spaces of weight $\tau$Z. I. Kozlova 1268 A numerical method of finding partially stable singular points of ordinary differential equationsA. I. Kononenko, V. D. Milman 1271 The dimension of products of bicompactaI. K. Lifanov 1274 A linear form in the logarithms of algebraic numbersN. I. Fel'dman 1278 Dirichlet series for elliptic operatorsV. E. Shatalov, I. A. Shishmarev 1280 Structural stability conditions and classification of the cells of a three-dimensional dynamical system without closed orbitsK. Eshmuradov 1283 CYBERNETICS AND THE REGULATION THEORY Differential approach gameN. N. Krasovskii 1287 A thermodynamical model of adaptationYu. I. Shmukler 1290 ASTRONOMY Adsorption mechanism behind the leakage of Moon's atmosphereA. M. Gutkin, M. S. Markov, Ts. M. Raitburd, M. V. Slonimskaya 1294 MATHEMATICAL PHYSICS Generalized Bogolyubov functions and the elements of the causal $S$-matrixL. Sh. Khodzhaev 1296 PHYSICS Gliding of liquids in capillariesB. V. Deryagin, N. N. Fedyakin 1300 Certain experimentals sequels of the analyticity of the form factorNguyễn Văn Hiêu 1303 CRYSTALLOGRAPHY Computation formulas for structural factors and their derivatives in the case of anisotropic heat vibrationsV. I. Burdina 1315