Báo cáo toán học: "On some continuation problems which are closely related to the theory of operators in spaces $Pi chi$ IV " pps

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Ngày tải lên: 05/08/2014, 15:21

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Ngày tải lên: 05/08/2014, 15:20

... not the zero sequence (otherwise the statement of the lemma is trivial), hence not all v n are the zero vector. Let s be maximal such that there are s vectors v n 1 , ,v n s that are linearly independent ... combination of v n 1 , ,v n s , the vector ˜c satisfies v T n ˜c = 0 for all n. We obtain the desired recurrence for u(n) by replacing each c ki in (4) with the c...

Ngày tải lên: 07/08/2014, 08:22

... electronic journal of combinatorics 13 (2006), #R55 9 Proof. The critical coloring which gives us the lower bound k + 2 is easy to obtain, so we only give a proof for the upper bound. This proof can be ... Hence there must beapathoforderk − p + 2 joining x and y in graph G.  Theorem 9 For odd integers k ≥ 5 T  (n, C k )=w(n, k − 1), where k ≤ n ≤ 2k − 2. Proof. The last part...

Ngày tải lên: 07/08/2014, 13:21

... track of the number of parts from λ . We note here that m is taken to be a positive even integer. The generating function for φ m,k (l, n) will be given in the next section in the proof of Theorem ... 1 in which x + y ≡ 1 (mod 4) over the number in which x + y ≡ 3 (mod 4). So the remainder of the proof requires us to show the generating function for χ 0...

Ngày tải lên: 07/08/2014, 21:21

... new asymptotic formulas for P m (k) which are nontrivial outside the region of classical large deviations. Further, we apply them by inserting into the equalities given in Proposition 1. The very idea ... O  1 k  provided that |x|  k 1/6 . The last quantity on the right-hand side is also equal to the factor of −C in (23). Inserting these estimates into (2 3) we ob...

Ngày tải lên: 08/08/2014, 12:22

... Ars Combinatoria 90 (2009) 337–344. the electronic journal of combinatorics 18 (2011), #P154 5 for each v ∈ V (G), the number of edges of color 3 incident to v is at most 7, and their total number ... not contain a P 4 , so consider the edges of this graph to be of color 2 in coloring of K 10 . We colored the complement of 2K 3 ∪ K 1,3 using colors 1 and 3 as shown...

Ngày tải lên: 08/08/2014, 14:23

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Ngày tải lên: 05/08/2014, 15:21

... β 1 andwehaveacontradiction.  In the proof of the mains results in Sec. 3, we need the following theorem. Theorem 2.5. [11] Let D be a nonempty convex compact subset of X and F : D → 2 D be a multivalued mapping satisfying ... Lai-Jiu Lin and Nguyen Xuan Tan We write αMin(A/C) to denote one of IMin(A/C), PMin(A/C), We have the following inclusions PrMin(A/C) ⊆ PMin(A/C)...

Ngày tải lên: 06/08/2014, 05:20

... by x p the g.c.d. of the first term of f u and the first term of f v , by x t the g.c.d. of the first term of f u and the second term of f v , by x r the g.c.d. of the second term of f u and the second ... obtain also a primary decomposition of the presentation ideal of the Symmetric algebra Sym(I) in Theorem 3.1. All these results are independent o...

Ngày tải lên: 06/08/2014, 05:20