Báo cáo toán học: "Another abstraction of the Erd˝s-Szekeres o Happy End Theorem" pot

... s 3 ) for all u r ∈ B − {u i , u j }.  We have found the proof of Theorem 1 during the 7th International Colloquium on Graph Theo r y in Hy`eres in September 2005. Another proof of the theorem ... that  N n  = o( N n ).  the electronic journal of combinatorics 17 (2010), #N11 4 Another abstraction of the Erd˝os-Szekeres Happy End Theorem Noga Alon ∗ Ehsan Chinifor...

Ngày tải lên: 08/08/2014, 11:20

... g m (ζ)) b a+deg z,∞ a r m {b a+deg z,∞ a r m 1 m 2 qk−p(r) m ρ m } m 1 m 2 qk−p(r) M r [g m ](ζ). (3.11) 11 3. Proof of the results Proof of Theorem 1.4 Suppose that the conclusion of theorem is not true, then there exists an entire solution w(z) satisfies the equation [Q(w(z))] n = P ... proof of Theorem 1.4 is complete.  17 [11] Gu, RM, Ding, JJ, Yuan, WJ: On the estimate...

Ngày tải lên: 20/06/2014, 20:20

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:21

Ngày tải lên: 05/08/2014, 15:21

... its developments in the theory of variational bicom- plexes have made an important role in many problems in caculus of variations on manifolds, in diffrential geometry, in the theory of differential ... simplicity, we will solve this problem in the case of r =1andr = 2. Then the other cases follow by the same method. 2. Notations and Premilinaries Throughout this paper, the...

Ngày tải lên: 06/08/2014, 05:20

... from (3.1), (3.2) we have y 0 ∈ Ax 0 ∩ Bx 0 . ThecasewhenC is compact can be proved similarly. The proof is complete.  Now we are in a position to proof a version of the well known minimax theorem ... note were presented at the Seminar ”Geometry of Banach spaces and Fixed point theory”, organized jointly by the Hanoi Institute of Mathematics and Hanoi University of Education....

Ngày tải lên: 06/08/2014, 05:20

... in the proof of Theorem 2.2. Up to now we have not found any example of quadratic programs of the form (1) for which there exists apair(x, λ), x ∈ S(c, b)andλ is a Langrange multiplier corresponding ... investigated furthermore. This is the reason why we omit (c5) in the formulation of Theorem 2.2. 3. Examples The following example shows that the conditions stated in Theor...

Ngày tải lên: 06/08/2014, 05:20

... the other proofs do not. Secondly, the same idea also works to provide a bijective proof of the hook formula for the number of shifted standard Young tableaux (and its q-analogue; see the Theorem ... section 4). No bijective proof for the shifted hook formula has been given before. On the other hand, our proofs are still not satisfactory in that they involve the involution...

Ngày tải lên: 07/08/2014, 06:20

... Q k  u ≥ 1. On the other hand, in the proof of Theorem the electronic journal of combinatorics 4 (1997), #R21 3 In the rest of this introductory section we recall some basic concepts and results, and ... orthogonal polynomials, constructed from the so-called u-local spectrum of Γ. These polynomials can be thought of as a generalization, for all graphs, of the distanc...

Ngày tải lên: 07/08/2014, 06:20