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. УДК 517.521 . О линейной независимости значений функций Лерха / Е. А. Уланский. // Вестн. Моск. ун-та. Сер. 1, Математика. Механика. 2009. ? 2. С. 56-59. Оценивается количество линейно независимых чисел среди 1,\Phi_1 \left( z,\frac{p}{q}\right),\ldots, \Phi_a \left( z,\frac{p}{q}\right) в зависимости от натурального числа \( a,\ \) где \Phi _s \left(z,\frac{p}{q}\right),\ s=1,2,\ldots , функции Лерха. Ключевые слова : функции Лерха, обобщенные полилогарифмы, линейная независимость. Библиогр. 3.

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X 1. y = f (x ) , Left = Right y (1) = 2 , y (1), y (1) . Left = Right 2. u (x , y ), v (x , y ) Left = Right u (1, 2) = 3, v (1, 2) = 4 . du, dv , ux (1, 2) . 3. F (z x , z y , z , x , y ) = 0 z (x , y ) w (u, v ) f1(x, y, z, u, v, w ) = 0, f2 (x , y, z, u, v, w ) = 0, f3 (x , y, z, u, v, w ) = 0 . 4. u x , y . 5. C u x , y, z F x , y, z = 0 . () ( ) ( )

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... Gaseous discs in NGC 252 and in NGC 4513 have decoupled kinematics, and the ionized gas of their rings is certainly excited by young stars. ... Two other, quite isolated S0 galaxies with the UV rings, IC 522 and NGC 446, demonstrate the shock-dominated gas excitation in the UV-detected rings, so their rings may probably have impact origin. ... NGC 4513. ... The UV rings in isolated galaxies IC 522 and NGC 446 may represent the consequences of central impact by a satellite from a highly inclined...

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... The implementation of CanIt Pro at Apollo Hosting began when its president, Tamara Field saw the solution in action for another company.Roaring Penguin CanIt was running on our own systems we realized it was definitely the right choice, says Don McLeman, VP of operations at Apollo. switching to CanIt, 50 to 70 percent of my staffs time was spent getting servers white listed and handling customer complaints in regards to spam. 1.4 to 1.8 million messages a day are filtered. ... cheap ray bans . ...

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Prediction of physical properties of materials based only on their chemical composition has long been an intriguing task. ... The main interests of Prof. Lebedev 's group are physical properties of crystals exhibiting structural instability, in which different phase transitions (including the ferroelectric one) can appear. ... A.I. Lebedev. ... Physics of the Solid State 51 , 362 (2009) ; e-print arXiv:1305.0240 (2013) ; [local copy] . ... Physics of the Solid State 51 , 2324 (2009) ; [local copy] . ...

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Changing the transcriptional activity of genome regulatory loci by PCR-mutagenesis Bykov A. A., Shavkunov K.S., Ozoline O. N. Department of Functional Genomics and Cellular Stress, Institute of Cell Biophysics, Russian Academy of Sciences, Pushchino, Moscow Region 142290, Russia forrozinho_cap@mail.ru Transcription requires the presence of a single promoter upstream of a gene, but in many cases there are multiple transcription signals. ... We called them "promoter islands" (PIs) -specificity[7]. ...

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... On a Classification of Orbits for Cubic Differential Systems . M.Popa, E.Naidenova (Academy of Sciences, Institute of Mathematics and Computer Sciences, Kishinev, Moldova) . ... We consider a two-dimensional system of differential equations of the first order with polynomial right . ... Using the methods described in [1] the complete classification of orbits for linear representation of the group of rotations and Lorentz group in the space of coefficients of the cubic differential system is done. ...

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• Abstract (Invited)

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... A.B. Sinelnikov, O.V. Dorokhina Matrimonial legislation, legitime reasons for divorce, illegitimate births, liberalization of the marriage and family legislation, crisis of family, values of family lifestyle Article is devoted to changes of the Russian family legislation in the XX century. ... The reforms which happened after October revolution of 1917 considerably changed all system of family values that led to strengthening of crisis of a family. ...

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