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81 sonuçtan 1-3 arası sonuçlar
Sayfa 938
Then none of the vectors V ; belongs to the convex cone spanned by the other
vectors Vq . ( Observe that condition ( 9 ) may fail without this restriction on the
intersection of smooth cones . ) d ) An arbitrary closed convex cone in R3 , The ...
Then none of the vectors V ; belongs to the convex cone spanned by the other
vectors Vq . ( Observe that condition ( 9 ) may fail without this restriction on the
intersection of smooth cones . ) d ) An arbitrary closed convex cone in R3 , The ...
Sayfa 1023
The functions q and 72 are smooth functions of Xa , a = 0 , 1 , ... , m , in the vicinity
of the origin . Proof . Consider the system ( 4.3 ) , ( 4.4 ) . Using ( 4.7 ' ) , we obtain
da , 1 1 20 = dy = -Qapa , ds 1 dt ро ao ) , 2'ds Pj obju -a , ) , ds whence dy dxa ...
The functions q and 72 are smooth functions of Xa , a = 0 , 1 , ... , m , in the vicinity
of the origin . Proof . Consider the system ( 4.3 ) , ( 4.4 ) . Using ( 4.7 ' ) , we obtain
da , 1 1 20 = dy = -Qapa , ds 1 dt ро ao ) , 2'ds Pj obju -a , ) , ds whence dy dxa ...
Sayfa 1027
We recall equation ( 3.12 ) : до ag Διφ + αο at + aj a xj - ALT = 0 , ag + ajax , Ob ;
since Q is smooth , the function ALT which implies that Διτ = Διφ + αο Η is also
smooth : at 2 ( 8.8 ) Δ , af at dij axiax ; ( xa ) . As usual , 0p ( xa ) denotes a smooth
...
We recall equation ( 3.12 ) : до ag Διφ + αο at + aj a xj - ALT = 0 , ag + ajax , Ob ;
since Q is smooth , the function ALT which implies that Διτ = Διφ + αο Η is also
smooth : at 2 ( 8.8 ) Δ , af at dij axiax ; ( xa ) . As usual , 0p ( xa ) denotes a smooth
...
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İçindekiler
THE THEORY OF DECREASING SEQUENCES | 706 |
1 Main definitions and terminology | 712 |
Theorem on lacunary isomorphism | 719 |
Telif Hakkı | |
3 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
action algebra analytic apply approximation arbitrary assume belongs boundary bounded called closed coefficients coincides compact complete condition cone Consequently consider consists constant constructed contains continuous Corollary corresponding defined definition denote depends determined differential domain elements English transl equal equation equivalent estimate example exists finite fixed follows formula function given homogeneous ideal identity implies independent inequality integral introduce invariant irreducible isomorphic Lemma limit linear mapping Math Mathematical means measure metric Moreover neighborhood obtain operator parabolic particular partition plane polynomials positive problem projection Proof properties Proposition proved relation Remark representation respect satisfying sequence similar smooth solution space spectrum standard statement Subsection sufficiently Theorem theory transformation valid values variables vector weight zero