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... Mathematical models and methods in VLSI design . ... General models and statements about the complexity of combinatorial tasks, methods for development of fast algorithms (method of dynamic programming, ?divide and conquer?, ?method of model extension?) are considered. ... Mathematical models of contemporary electronic circuits are considered and basic approaches to solving task of logic synthesis, as well as tasks of VLSI modules placement and interconnection routing are described. ...

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... Res. 46 (2014) 031415 (16pp) The dynamics of vortex rings: leapfrogging in an ideal and viscous fluid Alexey V Borisov1,2, Alexander A Kilin1,2, Ivan S Mamaev1,2 and Valentin A Tenenev 1 2 1,3 Udmurt State University, Universitetskaya 1, Izhevsk 426034, Russia Institute of Mathematics and Mechanics of the Ural Branch of RAS, S Kovalevskaja str. ... Res. ... Equations of motion To describe the interaction of vortex rings in an ideal fluid, it is common to use the model of thin toroidal vortex rings. ...

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Academic English English for Students of Mathematics and Mechanics Supplementary Exercises Part I L.N.Vygonskaya O.Y.Sviridenko MSU Moscow 2012 Academic English (part 1 of 4) Unit 1 Task 7 Fill in the missing letters in the words which denote various branches of mathematics. m_t_m_th_m_t_cs _lg_br_ c_lc_l_s st_t_st_cs _r_thm_t_c g_ _m_tr_ Now read the first part of the text (pp. 19-21) and put the branches in the same order as they are mentioned in the text. ... What is a topic sentence? ...

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The analysis of the asymptotic behavior of Ornstein - Zernike equation shows that the phase transitions on binodal cannot exist in the standard theory, which accounts for the analytical solutions only. To obtain the transitions it is necessary to build the nonlinear theory. ... It allows one to describe the critical phenomena in complete agreement with the experimental data and with the scaling theory, as well as to explain the nature of the liquid - vapor phase transitions. ...

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