St. Petersburg Mathematical Journal, 16. cilt,437-1077. sayfalarAmerican Mathematical Society, 2005 |
Kitabın içinden
85 sonuçtan 1-3 arası sonuçlar
Sayfa 512
... vectors is bounded from below by zero . This implies the following statement . Theorem 3.2 . Equality occurs in 3.1 ( 1 ) if and only if S is a spherical 3 - design and S does not contain any pair of orthogonal vectors ; equality occurs ...
... vectors is bounded from below by zero . This implies the following statement . Theorem 3.2 . Equality occurs in 3.1 ( 1 ) if and only if S is a spherical 3 - design and S does not contain any pair of orthogonal vectors ; equality occurs ...
Sayfa 513
... vectors e x , x T , constitute a basis for a copy of the root lattice Ar - 1 scaled to minimum 4 . ( 2 ) Otherwise , the lattice L generated by the vectors e - x , x Є T , and x + y , x , y € T2 + , xy - 1 , is a copy of a rank r root ...
... vectors e x , x T , constitute a basis for a copy of the root lattice Ar - 1 scaled to minimum 4 . ( 2 ) Otherwise , the lattice L generated by the vectors e - x , x Є T , and x + y , x , y € T2 + , xy - 1 , is a copy of a rank r root ...
Sayfa 527
... vectors with strictly negative mutual scalar products . Then | T | ≤1 + dim V. Proof . If the vectors in T are independent , then T ≤ dim V. Otherwise , there exists a nontrivial dependence relation , which can be written in the form ...
... vectors with strictly negative mutual scalar products . Then | T | ≤1 + dim V. Proof . If the vectors in T are independent , then T ≤ dim V. Otherwise , there exists a nontrivial dependence relation , which can be written in the form ...
İçindekiler
A Kokotov and B Plamenevskii On the asymptotics of solutions | 477 |
J Martinet and B Venkov On integral lattices having an | 507 |
A A Pekarskii Bernsteintype inequalities for the derivatives of rational | 541 |
Telif Hakkı | |
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algebra angle apply approximation arbitrary assume asymptotics belongs boundary bounded braid closed coefficients commutative complex condition cone Consequently consider constant construction contains continuous convergence Corollary corresponding curvature curve defined definition denote depend differential dimension domain element English transl equal equation estimate example exists fact finite formula function geodesic given groups Hence homomorphism implies inequality integral interval lattice Lemma Math Mathematical matrix means measure method metric minimal Moreover norm normal Note obtain operator pair particular points positive present problem Proof Proposition prove regular relation Remark respectively root satisfies side solutions space spectrum statement subgroups suffices Suppose surface Theorem theory transformation triangle true unique values vectors weight zero