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75 sonuçtan 1-3 arası sonuçlar
Sayfa 409
Let s > 2 , and let øE L [ [ x ] ] 6 be a series in which the powers with exponents
not exceeding s - 1 occur with integral coefficients . Then for every multiindex i
such that lil > 2 and i = qhkr , and every Ce Mn ( OL ) , we have the congruence +
1 ...
Let s > 2 , and let øE L [ [ x ] ] 6 be a series in which the powers with exponents
not exceeding s - 1 occur with integral coefficients . Then for every multiindex i
such that lil > 2 and i = qhkr , and every Ce Mn ( OL ) , we have the congruence +
1 ...
Sayfa 412
Suppose that , for any 0 < z se - 1 , the coefficients A , of the powers of A with
exponents less than some k > 1 are divisible by 7 ; let h be the greatest number
with this property . In this case , the type ( A0 , . . . , Ae - 1 ) is said to be of height h
.
Suppose that , for any 0 < z se - 1 , the coefficients A , of the powers of A with
exponents less than some k > 1 are divisible by 7 ; let h be the greatest number
with this property . In this case , the type ( A0 , . . . , Ae - 1 ) is said to be of height h
.
Sayfa 419
We denote this coefficient by Yz ; let s > q ' be the corresponding exponent . By
Lemma 4 . 1 , the coefficients of the series I have valuations of height at least 1 .
Therefore , as in Theorem 3 , we can apply Propositions 1 . 7 and 1 . 8 to prove
that ...
We denote this coefficient by Yz ; let s > q ' be the corresponding exponent . By
Lemma 4 . 1 , the coefficients of the series I have valuations of height at least 1 .
Therefore , as in Theorem 3 , we can apply Propositions 1 . 7 and 1 . 8 to prove
that ...
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algebraic analytic apply assume basis boundary bounded called chain homotopy closed coefficients complex computation condition connection Consequently consider constant construction contains continuous convex corresponding defined definition deformation denote determined differential domain element equal equation equivalence estimate example exists extension fact field finite fixed formula function given identity implies inequality integral intersection introduce invariant inverse isomorphism Lemma linear Math Mathematical matrix measure metric Moreover natural normal Observe obtain Obviously operator orientation particular periodic positive present problem projective Proof properties Proposition prove regular relation Remark respectively result ring satisfies scheme sequence singular smooth solutions space standard statement Subsection suffices Suppose takes Theorem theory transformation true twists unique vector weight zero