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From the editor
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5 |
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Boris Beniaminovich Lur'e S. V. Vostokov
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6 |
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To the 75th anniversary of Sergei Vladimirovich Vostokov I. B. Zhukov
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10 |
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To the 80th anniversary of Anatoly Vladimirovich Yakovlev B. B. Lur'e
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15 |
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On the trigonometric sum modulo subdivision of the real axis A. A. Artemov, V. N. Chubarikov
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18 |
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The hearts of weight structures are the weakly idempotent complete categories M. V. Bondarko, S. V. Vostokov
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29 |
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Schnirelmann's integral and analogy of Cauchy integral theorem for two-dimensional local fields S. V. Vostokov, T. Yu. Shashkov, S. S. Afanas'eva
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39 |
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Inaba extension of complete field of characteristic $0$ S. V. Vostokov, I. B. Zhukov, O. Yu. Ivanova
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59 |
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On Langlands program, global fields and shtukas N. M. Glazunov
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68 |
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Representing matrices over fields as square-zero matrices and diagonal matrices P. Danchev
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84 |
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The Braun–Kemer–Razmyslov theorem for affine $PI$-algebras Alexei Kanel Belov, Louis Rowen
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89 |
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Mathematical model of a digital control system with background controllers of the Neuman type for complex multicirculated objects E. V. Larkin, A. N. Privalov, T. A. Akimenko, I. N. Larioshkin
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129 |
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Lower estimates of polynomials and linear forms in the values of $F$-series A. Kh. Munos Vaskes
|
142 |
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Smooth manifold of one-dimensional lattices E. N. Smirnova, O. A. Pikhtil'kova, N. N. Dobrovol'skii, I. Yu. Rebrova, N. M. Dobrovol'skii
|
165 |
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On the asymptotic behavior of some sums involving the number of prime divisors function M. E. Changa
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186 |
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On the mean value of functions related to the divisors function in the ring of polynomials over a finite field V. V. Iudelevich
|
196 |
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BRIEF MESSAGE
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Approximation of quadratic algebraic lattices by integer lattices — II A. N. Kormacheva
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215 |
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Quality function for the approximation of quadratic algebraic nets — II A. V. Mikhlyaeva
|
223 |
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Asymptotic estimation for trigonometric sums of algebraic grids E. M. Rarova, N. N. Dobrovol'skii, I. Yu. Rebrova
|
232 |
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Hyperbolic parameter of approximation of quadratic algebraic lattices A. V. Rodionov
|
241 |
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Best quadrature formulas calculation of curvilinear integrals for some classes of functions and currves M. Sh. Shabozov, M. K. Abdukarimzoda
|
250 |
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HISTORY OF MATH AND APPLICATIONS
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Mathematical modeling of elasticity properties in the mechanics of composite materials I. K. Arkhipov, V. I. Abramova, A. E. Gvozdev, O. V. Kuzovleva
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262 |
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Empirical mathematical models of plasticity, strength and wear resistance of materials on the example of P18 steel A. D. Breki, A. E. Gvozdev, O. V. Kuzovleva, V. Yu. Kuzovlev
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272 |
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The development of a mathematical complex for modeling the progress of destruction of composite structures based on hight-speed deformation models G. M. Zhuravlev, V. G. Telichko, N. S. Kurien, A. E. Gvozdev, O. V. Kuzovleva
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292 |
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Legendre spectral element for plastic localization problems at large scale strains V. A. Levin, K. M. Zingerman, K. Yu. Krapivin, M. Ya. Yakovlev
|
306 |
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MEMORABLE DATE
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|
The 80th anniversary of professor Vladimir Nikolaevich Bezverkhnii A. E. Ustyan, I. V. Dobrynina, Yu. E. Trubitsyn, A. S. Ugarov, N. M. Dobrovolsky, I. Yu. Rebrova
|
317 |
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LETTER TO THE EDITOR
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Letter to the Editor D. V. Gorbachev, I. A. Martyanov
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336–338 |