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47 sonuçtan 1-3 arası sonuçlar
Sayfa 127
Writing the heat equation for entu , we see that the vj , j can be replaced by Vjj - ;
choosing | sufficiently large , we may assume that vj ; j < 0. We may also assume
that v > 0 componentwise . It follows that u ( t , x ) > 0 componentwise for 0 < t < T
...
Writing the heat equation for entu , we see that the vj , j can be replaced by Vjj - ;
choosing | sufficiently large , we may assume that vj ; j < 0. We may also assume
that v > 0 componentwise . It follows that u ( t , x ) > 0 componentwise for 0 < t < T
...
Sayfa 130
Under the above assumptions , for | z = O ( h ) , z 5 2h ( ro + ry - 1 / C ) , where 0 <
h < ho with ho > 0 sufficiently small ( depending on C ) , we have - + ( 2.16 ) ( 2.17
) ( 2.18 ) || E - + - ( 2 – 2h ( 4 " ) ) || ( ( 12,12 ) O ( h3 / 2 ) , || E + – R_ || ( 12 , L2 ) ...
Under the above assumptions , for | z = O ( h ) , z 5 2h ( ro + ry - 1 / C ) , where 0 <
h < ho with ho > 0 sufficiently small ( depending on C ) , we have - + ( 2.16 ) ( 2.17
) ( 2.18 ) || E - + - ( 2 – 2h ( 4 " ) ) || ( ( 12,12 ) O ( h3 / 2 ) , || E + – R_ || ( 12 , L2 ) ...
Sayfa 145
Thus , we arrive at the following main result . Theorem 5.1 . Let y = yr be a family
of smooth real - valued functions on R satisfying ( G1-10 ) ( uniformly ) for
sufficiently large N. Then for sufficiently large N and 1 / h we have ( 5.19 ) Cor ( zj
, xk ) ...
Thus , we arrive at the following main result . Theorem 5.1 . Let y = yr be a family
of smooth real - valued functions on R satisfying ( G1-10 ) ( uniformly ) for
sufficiently large N. Then for sufficiently large N and 1 / h we have ( 5.19 ) Cor ( zj
, xk ) ...
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İçindekiler
REPRESENTATION OF A FORM | 17 |
10 The automorphism groups of discriminant forms | 59 |
12 A general formula for the weight of representations | 65 |
Telif Hakkı | |
5 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
apply arbitrary assume assumptions asymptotics bases basis belongs boundary bounded classical coefficients coincides compact complex condition Consequently consider constant construction contains continuous convex corresponding curve decomposition defined definition denote depends described determined differential dimension direct discrete domain eigenfunctions eigenvalues elements English equal equation estimate example exists factor field finite fixed formula function given gives graph implies independent inequality integral introduce invariant lattice Lemma limit linear manifolds Math Mathematical matrix measure method Moreover observe obtain operator orbits particular periodic perturbation Phys positive potential present problem Proof properties Proposition prove quantum relation Remark representations respect restriction result satisfies similar smooth solutions space spectral spectrum statement Subsection sufficiently surface symbol Theorem theory transformation transl unique values vector