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64 sonuçtan 1-3 arası sonuçlar
Sayfa 115
To prove the claim , we bound the integrand by a certain integrable function of
the form e - cu ( B . 8 ) uk Rk ( U1 , . . . , Uni 12 , . . . , d , k = - ( n - 1 ) where c is a
positive constant . First , consider the rational part Pa , B . We have inequality ( B .
6 ) ...
To prove the claim , we bound the integrand by a certain integrable function of
the form e - cu ( B . 8 ) uk Rk ( U1 , . . . , Uni 12 , . . . , d , k = - ( n - 1 ) where c is a
positive constant . First , consider the rational part Pa , B . We have inequality ( B .
6 ) ...
Sayfa 303
... the operation of mollification . Furthermore , the function ule ) is represented as
the “ sum " over y e Rd of us . - Ey ) S ( y ) . In any Banach space the norm of a
sum does not exceed the sum of the norms . This proves the first inequality in ( 4 .
... the operation of mollification . Furthermore , the function ule ) is represented as
the “ sum " over y e Rd of us . - Ey ) S ( y ) . In any Banach space the norm of a
sum does not exceed the sum of the norms . This proves the first inequality in ( 4 .
Sayfa 547
This proves inequalities ( 5 . 14 ) . In a similar way we check that for a > 1 - 9 ( )
the lower estimate fi ( t ) > to e ... in this case , we substitute the value ( 5 . 6 ) of
the B - statentropy into inequality ( 1 . 17 ) , obtaining an equivalent inequality : ( 5
.
This proves inequalities ( 5 . 14 ) . In a similar way we check that for a > 1 - 9 ( )
the lower estimate fi ( t ) > to e ... in this case , we substitute the value ( 5 . 6 ) of
the B - statentropy into inequality ( 1 . 17 ) , obtaining an equivalent inequality : ( 5
.
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İçindekiler
A Antipov and A I Generalov The Yoneda algebras of symmetric special | 377 |
A G Bytsko On higher spin U sl2invariant Rmatrices | 393 |
Dirac operator | 409 |
Telif Hakkı | |
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Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
algebraic analytic apply approximation arbitrary argument assume asymptotic bounded called closed coefficients coincides complete condition connected Consequently consider consists constant construction contains continuous corresponding curves defined definition denote depend determined differential dimension discrete edges element equal equation equivalent estimate example exists fact finite fixed formula function given Goursat problem graph hyperbolic identity implies inequality integral introduce invariant lattice Lemma limit linear locally Math Mathematical matrix functions means measure metric Moreover Note obtain operator parameter particular periodic points polynomial positive potential problem Proof proof of Theorem Proposition prove quantum rational reduced regular relation Remark respectively result satisfies sequence side singular solution space spectrum statement Subsection sufficiently Suppose Theorem theory transformation unique values vector vertices zero