Báo cáo toán học: "The valuations of the near octagon I4" pptx

... 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 = ... C, if ζ is not the zero of g(ζ), by (3.4) then we can get g (k) (ζ) = 0 from (3.5). By the...

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

... in the theory of differential equations and in mathematical physics. Krupka [5] studied the sheaves of differential forms on finite r-jet prolonga- tions J r Y . Then he constructed the sequence of ... 0. 1. Introduction The notion of variational bicomplexes was introduced in studying the problem of characterizing the kernel and image of Euler-Lagrange mapping in the ca...

Ngày tải lên: 06/08/2014, 05:20

... similarly. The proof is complete.  Now we are in a position to proof a version of the well known minimax theorem due to Neumann-Sion [11, 15] in the case of hyperconvex metric spaces. Theorem 3.5. ... Seminar ”Geometry of Banach spaces and Fixed point theory”, organized jointly by the Hanoi Institute of Mathematics and Hanoi University of Education. The author would like...

Ngày tải lên: 06/08/2014, 05:20

... proved that the assertion of Theorem 2.2 remains valid if instead of (c1)–(c4) we use (c1)–(c5). The method of dealing with (c5) is similar to that of dealing with (c4) in the proof of Theorem 2.2. ... arguments of the proof of Theorem 2.2 we can show that if J = ∅, K = ∅, the system {A i : i ∈ K} is linearly independent, and v T Dv =0 for every nonzero vector v sat...

Ngày tải lên: 06/08/2014, 05:20

... r .The components of λ are called the parts of λ. The integer n, the sum of all the parts of λ, is called the norm of λ and is denoted by n(λ). The (ordinary) Ferrers diagram of λ is an array of ... q-analogue of the hook formula (see the Theorem in section 4) which all the other proofs do not. Secondly, the same idea also works to provide a bijective proo...

Ngày tải lên: 07/08/2014, 06:20

... trivial.) Then, by the converse of Theorem 2.5 , it must be 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 ... the study of the limit cases —in which the derived bounds are attained— has revealed the presence of high levels of structure in the considered graphs. See, for in...

Ngày tải lên: 07/08/2014, 06:20

... non-analytic proof of this evaluation. This method of proof is inspired by D. Zeilberger’s creative application in [Z1]. AMS Subject Classification: Primary 05A, 11A, 15A One of the most famous ... lends itself to explicit formulas in Pad´e approximation theory and further applications in transcendental theory. On the other hand, the Cauchy determinant cannot be readily generalized...

Ngày tải lên: 07/08/2014, 06:20