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74 sonuçtan 1-3 arası sonuçlar
Sayfa 766
3 ) J ^ * | ( 8 ) = id holds for diffeomorphisms ( ni , . . . , ) e En and for an element
ge Gi of length 18 ] = n + 1 . This equality can be disturbed by an arbitrarily small (
in the Ck - metric ) perturbation of the diffeomorphisms ni . Proof . We write g as ...
3 ) J ^ * | ( 8 ) = id holds for diffeomorphisms ( ni , . . . , ) e En and for an element
ge Gi of length 18 ] = n + 1 . This equality can be disturbed by an arbitrarily small (
in the Ck - metric ) perturbation of the diffeomorphisms ni . Proof . We write g as ...
Sayfa 974
4 ) of the element uex only one of the densities is nonzero , say Va . Then the
result of applying the operator U ( ya ) of translation parallel to the plane Ma , ya
E Ma , to the element uex = u + R a is again an element of the form ( 2 . 4 ) .
4 ) of the element uex only one of the densities is nonzero , say Va . Then the
result of applying the operator U ( ya ) of translation parallel to the plane Ma , ya
E Ma , to the element uex = u + R a is again an element of the form ( 2 . 4 ) .
Sayfa 1034
Proof . 1 ) Assume 14 S = Sn = SL ( n , 2 ) , n < 8 . We note at once that n > 6 .
Indeed , if n = 6 , we would have C e Syl2 ( S ) , and hence x4 = 1 for each 2 -
element xe S6 , while the element 1 1 1 1 1 1 1 has order 8 . Now consider the
natural ...
Proof . 1 ) Assume 14 S = Sn = SL ( n , 2 ) , n < 8 . We note at once that n > 6 .
Indeed , if n = 6 , we would have C e Syl2 ( S ) , and hence x4 = 1 for each 2 -
element xe S6 , while the element 1 1 1 1 1 1 1 has order 8 . Now consider the
natural ...
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İçindekiler
HADAMARDS CONJECTURE | 634 |
Necessary facts about Sobolev spaces | 643 |
Elliptic differential inequalities | 655 |
Telif Hakkı | |
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According algebra analytic apply assertion assume asymptotic Banach space boundary bounded called closed complete condition cone connected Consequently consider const constant construction contains continuous corresponding cubes defined definition denote depend derivatives described determined differential direct domain eigenvalues element English transl equality equation equivalent estimate example exists extension fact field finite fixed follows formula function Further given gives hence holds implies inequality integral introduce lattice Lemma limit linear mapping Math Mathematical matrix means measure multiplicity norm obtained Obviously operator pair particular perturbation polynomial positive possible present principle problem Proof properties Proposition proved reduced relation remains Remark representation respect satisfies scattering side smooth solution space spectral spectrum subspace sufficiently Suppose Theorem theory unique valid vector zero