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81 sonuçtan 1-3 arası sonuçlar
Sayfa 210
Proof of Theorem 1 . 4 . Let 8 € ( 0 , 80 ) be a number such that estimates ( 1 . 17 )
are fulfilled . Then the lower bounds in ( 1 . 18 ) , ( 1 . 19 ) follow from Theorem 1 .
1 , since ud < ( d – 2 ) / 2 . The upper bound in ( 1 . 18 ) follows from Theorem 1 ...
Proof of Theorem 1 . 4 . Let 8 € ( 0 , 80 ) be a number such that estimates ( 1 . 17 )
are fulfilled . Then the lower bounds in ( 1 . 18 ) , ( 1 . 19 ) follow from Theorem 1 .
1 , since ud < ( d – 2 ) / 2 . The upper bound in ( 1 . 18 ) follows from Theorem 1 ...
Sayfa 415
Consequently , for the proof of Theorem 1 . 1 it suffices to find a complex vector k
+ in E C such that ker ( D ( k + in ) + V ) = { 0 } . Thus , Theorem 1 . 1 is implied by
the following statement . Theorem 1 . 2 . Suppose { F , G , H } € F ( p , q , F ) , 3 Û ...
Consequently , for the proof of Theorem 1 . 1 it suffices to find a complex vector k
+ in E C such that ker ( D ( k + in ) + V ) = { 0 } . Thus , Theorem 1 . 1 is implied by
the following statement . Theorem 1 . 2 . Suppose { F , G , H } € F ( p , q , F ) , 3 Û ...
Sayfa 425
2 ) , and it suffices to choose numbers ñ = līlu EmlX | M for which Ac “ b – in ( ves )
sci Theorem 1 . 2 is proved . Remark . Under the conditions of Theorem 1 . 2 , if y
( ) e L { g , Z2 } , 1 = 1 , 2 , for some geG , then the proof of Theorem 1 .
2 ) , and it suffices to choose numbers ñ = līlu EmlX | M for which Ac “ b – in ( ves )
sci Theorem 1 . 2 is proved . Remark . Under the conditions of Theorem 1 . 2 , if y
( ) e L { g , Z2 } , 1 = 1 , 2 , for some geG , then the proof of Theorem 1 .
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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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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