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Libros Libros 1 a 10 de 11 sobre This proves the first part of the theorem. To prove the second part : Take any two...
" This proves the first part of the theorem. To prove the second part : Take any two lines of the system, 34 and 56. "
A Treatise on Infinitesimal Calculus: Containing Differential and Integral ... - Página 542
de Bartholomew Price - 1862
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Geometric Theory of Functions of a Complex Variable

Gennadiĭ Mikhaĭlovich Goluzin - 1969 - 676 páginas
...l/o^O^I- Here» equality holds only for a function of the form f(z) = €/0(z), where |e | = 1. This proves the first part of the theorem. To prove the second part, we note that the extremal function f$(z) can be characterized by the following considerations: l)/0(z)...
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Introduction to the Theory of Linear Nonselfadjoint Operators

Israel Gohberg, Mark Grigorʹevich Kreĭn - 1978 - 378 páginas
...- / is of Hilbert-Schmidt class. By virtue of Theorem 3.2 and result 1, this completes the proof of the first part of the theorem. To prove the second part, we introduce the matrix IP- '.2. ..-..» (>,*= 1,2, ...). This matrix generates some operator A jk which...
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Compact Lie Groups and Their Representations

Dmitriĭ Petrovich Zhelobenko - 1973 - 448 páginas
...a(x)i + a(x2), xlt x2 e X. Comparison of dimensions now shows that Ì = A + A is a direct sum. This proves the first part of the theorem. To prove the second part, it suffices to consider the case of a simply connected group ®. Let H and H be simply connected Lie...
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The Analysis of Linear Partial Differential Operators III: Pseudo ...

Lars Hörmander - 2007 - 525 páginas
...</'(t 0 )y, d«^ 1 > = <y,rftl n /2>=0; hence y = 0. Since n 2 l /2=f*£ i we have (21.4.2), which proves the first part of the theorem. To prove the second part we choose, using Theorem C.4.4, C° ° functions q j , p k in a neighborhood of f(t 0 ) such that f* qj...
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Kac-Moody and Virasoro Algebras: A Reprint Volume for Physicists

Peter Goddard, David Olive - 1988 - 586 páginas
...most two irreducible components in V(Z'). On the other hand, it obviously preserves / 2 -grading; this proves the first part of the theorem. To prove the second part of the theorem one has to verify (1.1.12) and compare the highest weight with (1.1.14). Note that A,(0)...
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Algebraic Combinatorics

Chris Godsil - 1993 - 368 páginas
...Therefore n(T(H,v)\v,x) n(T(H,v),x) and so ^ n(T(H,v)\v,x) ' , u) \ u, x) - Eue „ M(^(G, u) \ w, x) This proves the first part of the theorem. To prove the second part, we note that since T(G\u,v) is isomorphic to a component of T(G,u)\u, it follows that p,(T(G,u) \u,x)...
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Game Theory

Leon Aganesovich Petrosi?a?n, Nikola? Anatol?evich Zenkevich - 1996 - 352 páginas
...inequalities (1.8.3), (1.8.5) we obtain E oj«?; < EE «oí» •»; < E «>i'fí = ^'. j=l ;=1 i=li=l which proves the first part of the theorem. To prove the second part of the theorem (assertion 4), it suffices to note that in the case of strict dominance of the mth row...
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Bayesian Robustness: Proceedings of the Workshop on Bayesian Robustness, May ...

James O. Berger - 1996 - 353 páginas
...greater than (1 — £)\/27r(7ro(#*) — <5) for sufficiently large n, which concludes the proof of the first part of the theorem. To prove the second part, we assume that q £ Q have bounded densities with bounded derivatives. Thus, we get from (10) - e) nl...
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Linear Algebra, Rational Approximation and Orthogonal Polynomials

A. Bultheel, M. Van Barel - 1997 - 445 páginas
...CTAk-2B,foT some k > 2, then we get xk = -i = Ak~lB and hk = yk - CTxk = CTAk~lB. Hence, we have proved the first part of the theorem. To prove the second part, we use the fact that if the operations are carried out in the field W(z~l), we get [ jr j A ] jy JA y...
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Continued Fractions

Aleksandr I?Akovlevich Khinchin, Herbert Eagle - 1997 - 95 páginas
...Consequently, from what was stated above, if we choose thp numbers x and y as indicated, we have which proves the first part of the theorem. To prove the second part, let us suppose that the set of elements ok of the number a is unbounded above. Theorem 23 than indicates...
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