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 MATHEMATICS Application of multidimensional logarithmic residue for representation in the form of the integral of the difference between the number of integer points in a domain and its volumeL. A. Aizenberg 521 Limit theorems for extreme terms of a variational seriesB. V. Gnedenko, A. Sherif 523 A correcting algorithm for solving some discrete optimization problemsB. I. Gol'dengorin 525 On Coleman's principle for finding the stationary points of quadratic functionalsL. V. Kapitanski, O. A. Ladyzhenskaya 529 Convergence of the solutions of quasilinear parabolic equations with weakly converging coefficientsS. N. Kruzhkov, V. L. Kamynin 533 The consistency of Quine's system $\mathcal{N}F$A. S. Kuzichev 537 Measurable utility theorems for closed and lexicographic preference relationsV. L. Levin 542 Symmetrization of invariant hyperbolic equationsT. Yu. Mikhailova 546 Two classes of statistical tests for invariance of distributions with respect to groups of linear transformationsÅ. A. Pukhal'skii 551 On an approach to the investigation of degenerate hyperbolic equationsP. E. Sobolevskii, S. M. Semenov 555 Multidimensional Tauberian theorems of Karamata, Keldysh and Littlewood typeA. L. Yakymiv 558 Asymptotically optimal automata with growing memoryA. V. Kolnogorov 562 CYBERNETICS AND THE REGULATION THEORY Search algorithms for criterial optimization under conditions of uncertaintyYa. Z. Tsypkin, A. S. Poznyak, A. M. Pesin 565 FLUID MECHANICS Stability of the flow of a viscoelastic liquid in a plane channelG. V. Kireiko, V. N. Pilipenko 569 GEOPHYSICS On the anomalous variations of water – oil ratio in the oil wells before the earthquakesI. G. Kissin 574 Phase relations in the system $\mathrm{MgO}$–$\mathrm{FeO}$–$\mathrm{CaO}$–$\mathrm{Al}_2\mathrm{O}_3$–$\mathrm{SiO}_2$ in the transitional zone of mantleO. L. Kuskov, R. F. Galimzyanov, N. I. Khitarov 577 MATHEMATICAL PHYSICS On the dimension of turbulent motion attractorsV. N. Shtern 582 PHYSICS On the calculation of the ponderomotive forces in an isolated electric circuitA. V. Burov 586 On the theory of leading centers in active mediaA. S. Mikhailov 590 Electronic phenomena in nonideal heterotransitionsA. Ya. Shik, Yu. V. Shmartsev 593