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40 sonuçtan 1-3 arası sonuçlar
Sayfa 288
for every n > m . Since A is a complete local ring , ( 3 . 6 ) implies the existence of
elements Qa , Ca E M and bs € 1 + M such that ( 3 . 7 ) Qq = da , n ( mod M " ) , bs
= bs . , n ( mod M " ) , Ca = Cain ( mod M " ) for every n ( see [ B2 ] ) . Putting ( 3 .
for every n > m . Since A is a complete local ring , ( 3 . 6 ) implies the existence of
elements Qa , Ca E M and bs € 1 + M such that ( 3 . 7 ) Qq = da , n ( mod M " ) , bs
= bs . , n ( mod M " ) , Ca = Cain ( mod M " ) for every n ( see [ B2 ] ) . Putting ( 3 .
Sayfa 478
If X is complete and f is bounded or admits a uniform Lipschitz constant , then
each n is complete , i . e . , a = 00 . However , in order to get uniqueness and a
reasonable gradient flow , we need some assumptions on the differentiable
structure ...
If X is complete and f is bounded or admits a uniform Lipschitz constant , then
each n is complete , i . e . , a = 00 . However , in order to get uniqueness and a
reasonable gradient flow , we need some assumptions on the differentiable
structure ...
Sayfa 479
X is complete and either f is bounded from above , or f has a global Lipschitz
constant . The flow is 1 - Lipschitz if f is concave and X is complete and geodesic .
This result was proved in ( Sha77 ] in the case of Riemannian manifolds and was
...
X is complete and either f is bounded from above , or f has a global Lipschitz
constant . The flow is 1 - Lipschitz if f is concave and X is complete and geodesic .
This result was proved in ( Sha77 ] in the case of Riemannian manifolds and was
...
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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