St. Petersburg Mathematical Journal, 4. cilt,1-3. sayılarAmerican Mathematical Society, 1993 |
Kitabın içinden
84 sonuçtan 1-3 arası sonuçlar
Sayfa 215
... Remark 1 . L2 L2 = 251 · · · 5n = 2 2 √EU En ( I ) A ( x ) w ( x ) dx . Remark 2. The orthogonal polynomials Q form a Sturm series . This enables us in the course of computing them recursively to determine the number of roots on the ...
... Remark 1 . L2 L2 = 251 · · · 5n = 2 2 √EU En ( I ) A ( x ) w ( x ) dx . Remark 2. The orthogonal polynomials Q form a Sturm series . This enables us in the course of computing them recursively to determine the number of roots on the ...
Sayfa 384
Remark 2. Our method of proof enables us to prove an assertion analogous to Lemma 1 in n - dimensional space , n > 2 . Remark 3. From Theorem 2 and inequality ( 7 ) there follows the well - known elemen- tary geometrical inequality A ...
Remark 2. Our method of proof enables us to prove an assertion analogous to Lemma 1 in n - dimensional space , n > 2 . Remark 3. From Theorem 2 and inequality ( 7 ) there follows the well - known elemen- tary geometrical inequality A ...
Sayfa 394
... remark , Theorem 5 , and equality ( 12 ) we obtain M ( Dn ) ≥ M ( K ( r + ɛ , r ( 1 + k ) ) r ( 1 + k ) = r + ε n , r + ε Since Dn CD , r ( 1 + k ) M ( D ) > r + ε Going over to the limit as → 0 , we obtain the desired inequality . ε ...
... remark , Theorem 5 , and equality ( 12 ) we obtain M ( Dn ) ≥ M ( K ( r + ɛ , r ( 1 + k ) ) r ( 1 + k ) = r + ε n , r + ε Since Dn CD , r ( 1 + k ) M ( D ) > r + ε Going over to the limit as → 0 , we obtain the desired inequality . ε ...
İçindekiler
PARTITION FUNCTIONS IN OPTIMIZATION 150 | 6 |
Partition functions on a symmetric group and problems in multilinear | 22 |
Exponential integrals over convex polytopes | 31 |
Telif Hakkı | |
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addition algebra algorithm analytic applications arbitrary assertion assume basis boundary bounded called Chapter closed complete computing cone connected Consequently consider constant construct contains continuous Corollary corresponding curve defined definition denote determined direct domain element English transl equal equation estimate example exists extension fact factorization field finite follows formal formula function given gives Hence holds homomorphism ideal implies indices inequality integral interval isomorphism Lemma linear Math Mathematical matrix measure method module morphism multiple natural norm obtain operator partition polynomial polytope positive problem projective proof properties Proposition proved relations relative Remark representation respect result ring roots satisfy sequence simple solution space sufficiently Suppose surface Theorem theory vector zero