St. Petersburg Mathematical Journal, 4. cilt,1-3. sayılarAmerican Mathematical Society, 1993 |
Kitabın içinden
75 sonuçtan 1-3 arası sonuçlar
Sayfa 142
... implies that e , f ~ gN = 0 , that is , F C E * . 2 We verify that the ideal E F is r - dense . Let q = 0 € A , 0 = { g } , and q ( E ✪ F ) C An . Then coz ( gn ( y + z'√ ) ) ~ S ~~ € N. Hence and because SN E N , it follows that coz ...
... implies that e , f ~ gN = 0 , that is , F C E * . 2 We verify that the ideal E F is r - dense . Let q = 0 € A , 0 = { g } , and q ( E ✪ F ) C An . Then coz ( gn ( y + z'√ ) ) ~ S ~~ € N. Hence and because SN E N , it follows that coz ...
Sayfa 145
... implies that FM \ FN Є M. Since FM , it follows that FFM ЄM implies that FN \ FM Є M. Thus , fN ~ fm mod M. Consider the polyfunction - 0 = the element p = n . = { ƒx } and It follows from the preceding paragraph that ap . It follows ...
... implies that FM \ FN Є M. Since FM , it follows that FFM ЄM implies that FN \ FM Є M. Thus , fN ~ fm mod M. Consider the polyfunction - 0 = the element p = n . = { ƒx } and It follows from the preceding paragraph that ap . It follows ...
Sayfa 146
... implies ANCAN . Thus , coz A CH \ HN . = Let GE and GOHN Ø . By the definition of a realizing as - preimage , we have G = coz b for some bЄ A. Therefore be ON implies that bЄ AN . It follows from the definition of a refinement that b AM ...
... implies ANCAN . Thus , coz A CH \ HN . = Let GE and GOHN Ø . By the definition of a realizing as - preimage , we have G = coz b for some bЄ A. Therefore be ON implies that bЄ AN . It follows from the definition of a refinement that b AM ...
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