New PDF release: Angliyskiy yazyk. Rabochaya tetrad â"- 2. "Happy

By Kaufman Marianna Yurevna Kaufman Klara Isaakovna

ISBN-10: 5868666151

ISBN-13: 9785868666155

Рабочие тетради № 1, 2 предназначены для выполнения письменных заданий в классе и дома содержат контрольно-тестовые задания разделов учебника включают в себя раздаточный материал, необходимый для работы на уроке (раздел minimize Out).

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Extra info for Angliyskiy yazyk. Rabochaya tetrad â"- 2. "Happy". S razdatochnym materialom. 6 klass. FGOS

Example text

24 is formulated (in particular, on P• 73) for the case of a finitely connected domain. -dimensional vee• tor functions and nxn matrix functions, the elements of which belong to these classes. We denote by iD. 1 ). (in the case It would be natural to denote the class of elements from nxn matrix functions with ~xn • However, we renounce this notation, since X by it is too troublesome. Instead, the class of such matrix functions is simply denoted by X • From the context it will be alwa;rs clear whether we speak about a scalar or a matrix function·.

1 .. 3) 1> Here and further on, the superscript specifies the factorization we deal with. 3 1 ) Since G( 1 ) E L- and G( 2 ) E LP- , then H E L- , where q1 • p . 3 1 ) we deduce that ~;I 1 ) - x~ 2 ) , if polyaomial of degree less than or equal to x1 is a 1 ) .?! xi x~2) and identically equal to zero otherwise. S ~1) , x~ 2 ).?! y, • 1, ••• ,r , and each minor of rtn of the matrix function H+ 0 for i and = r, ••• ,nf order lying in the first r columns is equal to zero. e. on r , trhich contradicts the oon-siagularity of the factorization factors.

Since, in addition, fk(oo) =0 , we can conclude that fk; 0 , by Liouville's theorem. lJ +( 0 ). 1 has been proved. In what follows, we need a generalization of the Smirnov classes to the case of multiply connected domains. 1? (KHAVINSON [1)). 16 and, moreover, the requirement 4) the lengths lrkl of the contours 'l'HEOREM 1,20 (Decomposition theorem). rk are equibounded. S-(j)) , i f and =1, ••• ,m-1 , , We represent the boundar,y rk of the domain m-1 occurring in Definition 1,1? According to equation ( 1.

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Angliyskiy yazyk. Rabochaya tetrad â"- 2. "Happy". S razdatochnym materialom. 6 klass. FGOS by Kaufman Marianna Yurevna Kaufman Klara Isaakovna

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