TWO MEROMORPHIC MAPPINGS SHARING 2n 2 HYPERPLANES REGARDLESS OF MULTIPLICITY

... nhập 1 723 4 1 725 3 1 724 6 Cây nhị phân kết ( 723 _5 (N 725 _3 ( 724 _6 N))) Trường hợp cầu tiên tri xuất nhiều lần: Ví dụ 7: Với liệu nhập 1 723 4 1 725 3 1 724 6 27 24 27 24 27 24 27 24 Cây nhị phân kết ( 723 _4 ... tư, nhị phân hành ( 723 _4 ( 722 _3 724 _6)) Hiệp sĩ có số hiệu 723 giao đấu với quái vật bị thua, nhị phân kết ( 724 _6 ( 722 _3 N)) Ví dụ 11: Với liệu nhập 1 723 4 - 123...

Ngày tải lên: 22/03/2014, 15:20

... Annals of Mathematics, 159 (2004), 377–405 (log t)2/3 law of the two dimensional asymmetric simple exclusion process By Horng-Tzer Yau* Abstract We prove that the diffusion coefficient for the two dimensional ... that the result and method in this paper apply to all asymmetric simple exclusion processes; the special choice is made to simplify the not...

Ngày tải lên: 22/03/2014, 16:20

... Annals of Mathematics, 160 (2004), 795–837 Extension properties of meromorphic mappings with values in non-K¨hler complex manifolds a By S Ivashkovich* Introduction 0.1 Statement of the main result ... initiate the systematic study of extension properties of meromorphic mappings with values in non-K¨hler complex manifolds a Let h be some Hermitian...

Ngày tải lên: 22/03/2014, 16:20

... fixed points of nonlinear mappings is an important and active research area In particular, iterative algorithms for finding fixed points of nonexpansive mappings have received vast investigation ... fixed points of a countable family of nonexpansive mappings in a Banach space,” Nonlinear Analysis: Theory, Methods & Applications, vol 67, no 8, pp 2350–2360, 20...

Ngày tải lên: 21/06/2014, 11:20

... ) k) k) +∞) Sometimes we write N f (r, H) for N1,f (r, H), Nl,f (r, H) for Nl,f (r, H) and +∞) Nf (r, H) for N+∞,f (r, H) An Extension of Uniqueness Theorems Set ψf (H) := 75 |a0 |2 + · · · + ... k+1 n+ nq k An Extension of Uniqueness Theorems 93 This contradicts q = 5(n+1) , k ≥ (65n + 171)n Thus, we get that αij = for all i = j q − For s < v 3, denote by Lsv the s...

Ngày tải lên: 06/08/2014, 05:20

... (1 + a)2n+k+1 (1 − a)2n+k+1 (n + k + 1) (1 + a)k (1 − a)k (1 + a)2 (1 − a)2 q(n, k) n n , 4(1 + a)2n+k+2 (1 − a)2n+k+2 (n + k + 1)(n + 1)(2n + 1) with q(n, k) = (n + 1)3 (30n + 19) − a2 (n + 1)(12n ... k!n!(2n)!(1 + a)k (1 − a)k (1 + a)n (1 − a)n (1 + a)2n (1 − a)2n q(n, k) 6(3n + 2)!(2n + k + 2)!(1 + a)2n+k+2 (1...

Ngày tải lên: 07/08/2014, 15:23

... of selection : index (I) or independent culling levels (N) Each line was propagated by 25 single- pair matings per generation ; male and female offspring were individually weighed and the females ... considered as a fixed factor and replicates as a random factor Estimates of heritabilities and genetic and phenotypic correlations for both traits in the...

Ngày tải lên: 09/08/2014, 22:22

... applications of these second main theorems, in the last section we will prove a unicity theorem for meromorphic mappings sharing moving hyperplanes regardless of multiplicities To state our main result, ... νϕ∞ SECOND MAIN THEOREMS FOR MEROMORPHIC MAPPINGS We have the following Jensen’s formula: N (r, νϕ0 ) − N (r, νϕ∞ ) = log|ϕ|η − S(r) log|ϕ|η S(1) [k] For c...

Ngày tải lên: 14/10/2015, 07:52

... show that there are at FINITENESS PROBLEM OF MEROMORPHIC FUNCTIONS SHARING FOUR SMALL FUNCTIONS most three meromorphic functions sharing four small functions regardless of multiplicity To state ... there has no finiteness theorem for the case meromorphic functions sharing four small functions regardless of multiplicities The second purpose...

Ngày tải lên: 14/10/2015, 08:37

... 2MEROMORPHIC MAPPINGS HAVING THE SAME INVERSE IMAGES OF MOVING HYPERPLANES Theorem B (Fujimoto [3, Theorem 1.5]) Let H1 , , H2n+2 be hyperplanes of Pn (C) in general position Then there ... i∈I c MEROMORPHIC MAPPINGS HAVING THE SAME INVERSE IMAGES OF MOVING HYPERPLANES9 Proposition 2.3 Let f be a meromorphic mapping of Cm into Pn (C) and let b1 ,...

Ngày tải lên: 14/10/2015, 08:37

... Tan, Normal families of meromorphic mappings of several complex variables into CP n for moving hypersurfaces, Ann Polon Math., 94, 97-110 [12] Z Tu, Normal criteria for families of holomorphic mappings ... Thai and P N T Trang, Normal families of meromorphic mappings of several complex variables into CP n , Nagoya Math J., 180 (2005), 91-110 [10] W Stoll, Nor...

Ngày tải lên: 16/10/2015, 09:35

... (C), J Math Anal and App., 267 (2002), 1-19 [21] Z Tu and P Li, Normal families of meromorphic mappings of several complex variables into PN (C) for moving targets, Sci China Ser A Math., 48 ... Thai-Quang [16], [17]), the study of the normality of families of meromorphic mappings of a domain D in Cn into PN (C) for moving hyperplanes or hypersur...

Ngày tải lên: 16/10/2015, 14:09

... purpose in the present paper is to give a new second main theorem for meromorphic mappings into complex projective varieties, and a family of hypersurfaces in subgeneral position (in the sense of ... dimension k (k ≤ n) Let {Qi }qi=1 be hypersurfaces of Pn (C) in N -subgeneral SECOND MAIN THEOREM AND UNICITY OF MEROMORPHIC MAPPINGS posit...

Ngày tải lên: 16/10/2015, 14:14

... N (r, min{ν(f,H2n +2 ) , ν(g,H2n +2 ) }) [n] [1] N(u,H2n +2 ) (r) − nN(g,H2n +2 ) (r) + o(Tf (r)) = u=f,g [n] ≤ [n] N(u,H2n +2 ) (r) − N(g,H2n +2 ) (r) + o(Tf (r)) u=f,g [n] = N(f,H2n +2 ) (r) + o(Tf ... || N(f,H2n +2 ) (r) = N(f,H2n +2 ) (r) + o(Tf (r)) and || N(u,H2n +2 ) (r) = nN(g,H2n +2 ) (r) + o(Tf (r)) It folows that min{ν(f,H2n +2 ) , n + 1} = min{ν(f,H2n +2 ) , n} and mi...

Ngày tải lên: 16/10/2015, 14:15