St. Petersburg Mathematical Journal, 4. cilt,1-3. sayılarAmerican Mathematical Society, 1993 |
Kitabın içinden
81 sonuçtan 1-3 arası sonuçlar
Sayfa 84
... equal to the least upper bound of the projective dimensions of the left cyclic modules ( [ 17 ] , Theorem 8.19 ) . Since each cyclic A - module not isomorphic to A has finite length , gl . dim A is equal to the upper bound of the ...
... equal to the least upper bound of the projective dimensions of the left cyclic modules ( [ 17 ] , Theorem 8.19 ) . Since each cyclic A - module not isomorphic to A has finite length , gl . dim A is equal to the upper bound of the ...
Sayfa 382
... equal quadrangles . 4 ) The sum of the angles at O of the quadrangles Sk , 1 is equal to the sum of the same angles of the quadrangles Qk , 1 . 5 ) The lengths of the sides depend on k , k = 1 , ... , n . OFk , OMk , Ofk , and Om are equal ...
... equal quadrangles . 4 ) The sum of the angles at O of the quadrangles Sk , 1 is equal to the sum of the same angles of the quadrangles Qk , 1 . 5 ) The lengths of the sides depend on k , k = 1 , ... , n . OFk , OMk , Ofk , and Om are equal ...
Sayfa 385
... equal to 2 / n , and the rest are equal to 0. Taking account of ( 1.1 ) , we arrive at the inequality ( 1.5 ) together with the assertion about the cases of equality . This proves the theorem . Remark 4. If instead of the disk U we ...
... equal to 2 / n , and the rest are equal to 0. Taking account of ( 1.1 ) , we arrive at the inequality ( 1.5 ) together with the assertion about the cases of equality . This proves the theorem . Remark 4. If instead of the disk U we ...
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