List of Publications Elena A. Kudryavtseva March 2007 1. Gerver, M. L. and Kudryavtseva, E. A. (1995): A theorem on precedence relations generated by completely positive kernels. ... Russian Math. ... Gonё calves, D.L., Kudryavtseva, E., and Zieschang, H. (2001): Intersection index of curves on surfaces and applications to quadratic equations in free groups. ... Gonё calves, D.L., Kudryavtseva, E., and Zieschang, H. (2002): Ro ots of mappings on nonorientable surfaces and equations in free groups. ...

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• http://dfgm.math.msu.su/files/koudr/publ3eng.pdf
• Толченников А.А. / Кафедра Дифференциальной геометрии и приложений /

... SDPpred is a tool for prediction of residues in protein sequences that determine functional differences between proteins, having same general biochemical function. ... Amino acid residues that determine differences in protein functional specificity and account for correct recognition of interaction partners, are usually thought to correspond to those positions of a protein multiple alignment, where the distribution of amino acids is closely associated with grouping of proteins by specificity. ...

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... Лейкин Ю.А., Соловьев В.К. Мейчик Н.Р. 1978 . ... Мейчик Н.Р., Лейкин Ю.А. 1983 . ... Мейчик Н.Р., Лейкин Ю.А. 1985 . ... Мейчик Н.Р., Лейкин Ю.А., Колосова И.Ф, Тарасова Т.И. 1986 . ... Мейчик Н.Р., Лейкин Ю.А., Галицкая Н.Б., Антипов М.А., Горячева Н.В., Клименко И.А, Медведев С.А. 1987. ... Мейчик Н.Р., Лейкин Ю.А., Косаева А.Е., Галицкая Н.Б. 1989 . ... Мейчик Н.Р., Лейкин Ю.А. 1989 . ... Мейчик Н.Р., Лейкин Ю.А., Гейнрих И.А. 1989 . ... Н.Р. Мейчик, И.П. Ермаков, М.В. Савватеева. ...

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• Камнев Александр Николаевич
• Баштанова Ульяна Борисовна

A Short Course in Differential Geometry and Topology A.T. Fomenko and A.S. Mishchenko sP A Short Course in Differential Geometry and Topology A.T . ... Partition of Unity 2.4.1 Functional separability 2.4.2 Partition of unity 3 CONTENTS 51 52 54 Smoot h Manifolds (General Theory ) 57 3.1 Concept of a Manifold 59 3.1.1 Main definitions 59 3.1.2 Functions of change of coordinates. ... Frenet formulae 4.1.2 Theory of spatial curves. ... Examples and illustrations are included throughout the chapter. ...

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... Nonlinear optics of ionized mediums . Fiber lasers . ... Emergence of powerful laser systems, being able to deliver powerful ultrashort light pulses, allows one to investigate and exploit new class of nonlinear-optical phenomena, based on the media ionization, when the electrons are released by strong electromagnetic field directly or by collision of an atom with another electron accelerated in the field. ... Ultrafast optical switching of an ionized medium by interfering ultrashort laser pulses. ...

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... 2) ReplaceAll[F,{x->expr1,y->expr2.. ... V. Solve[{eqn1,eqn2,...}, {var1,var2,...}] ­ - - eqn1,eqn2,... var1,var2,... eqn leftside = = rightside. ... F1[var1],F2[var2],...}{var1,var2,...}] ­ - - eqn1,eqn2,.. ... Eliminate[{eqn1,eqn2,...}, {var1,var2,...}] - var1,var2,... eqn1,eqn2,.. ... 1) : : ) Put[expr1,expr2,expr3,... "file.ext"] ( expr>>"filename"); ­ , file.ext expr1,expr2.. ... Module[{var1, var2,...},expr1; expr2;.... ;exprn] ­ expr1; expr2;..., var1, var2,... , .. expr1; expr2;.... ;exprn; ...

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