拟亚纯映射的Borel方向

对于平面上的Ｋ－拟亚纯映射时,建立了一个角域的基本不等式,由此证明了Ｋ－拟亚纯映射的Ｂｏｒｅｌ方向的存在性及其相应性质。     

ON THE BOREL DIRECTION OF K-QUASIMEROMORPHIC MAPPINGS

For the K-quasimeromorphic mappings, a precise fundamental inequality for the angular domain is established. From this, the Borel direction of the K-quasimeromorphic mappings of zero order is derived.     

拟亚纯映射的充满圆

该文用较简明的方法讨论了平面上K 拟亚纯映射在\{lim[DD(X]r→∞[DD)]\}[TX-][SX(]S(r,f)[]lgr[SX)]=∞ 条件下及有限正级K 拟亚纯映射存在充满圆序列, 同时也证明了零级K 拟亚纯映射的最大型Borel方向及有限正级Borel方向上存在充满圆序列.     

关于拟亚纯映射的值分布

对于平面上的K-拟亚纯映射，应用覆盖曲面的几何方法，得到了其涉及重值的充满圆、Borel方向和正规定则．     

拟亚纯映射的Borel点

对于平面上的Ｋ拟亚纯映射,利用孙道椿,杨乐［１］建立的一个基本不等式,讨论了拟亚纯映射在单位圆内的奇异Ｂｏｒｅｌ点．将亚纯函数的有关结果［２］推广到Ｋ拟亚纯映射．     

单位圆内拟亚纯映射的Nevanlinna点

该文定义了单位圆内拟亚纯映射的Nevanlinna点与Borel点，并证明了单位圆内满足条件~lim_{r→1}{T(r)/{log1/(1-r)}}=∞的拟亚纯映射的Nevanlinna点与Borel点的存在性。     

关于无穷级拟亚纯映射的充满圆与Borel方向

该文证明了无穷级拟亚纯映射的充满圆与Borel方向的存在性。     

单位圆内拟亚纯映射的Borel点

研究了单位圆内的拟亚纯映射,建立了角域内的基本不等式,从而证明了拟亚纯映射的Borel点的存在性。     

拟亚纯映射的奇异方向

研究了广泛的K-拟亚纯映射.导出了K-拟亚纯映射Borel方向的一个充分条件和一个充要条件,证明了关于平面上K-拟亚纯映射的Ju lia方向存在性的一个较精确定理.     

单位圆内拟亚纯映射的奇异点

本文通过一般化Tsuji的一个结果,证明了单位圆内零级K-拟亚纯映射涉及重值的一类奇异点的存在性.     

Estimation of the number of components of finite mixtures of multivariate distributions

An estimator of the number of components of a finite mixture ofk-dimensional distributions is given on the basis of a one-dimensional independent random sample obtained by a transformation of ak-dimensional independent random sample. A consistency of the estimator is shown. Some simulation results are given in a case of finite mixtures of two-dimensional normal distributions.     

Galois Structure of K-Groups of Rings of Integers

N/Kbe a Galois extension of number fields with finite Galois group G.We describe a new approach for constructing invariants of the G-module structure of the K groups of the ring of integers of N in the Grothendieck group of finitely generated projective Z[G]modules. In various cases we can relate these classes, and their function field counterparts, to the root number class of Fröhlich and Cassou-Noguès.     

Eigenvector p-Bases of Rings of Constants of Derivations

Let A be a UFD of characteristic p > 0, let 𝒵 be a set of some eigenvectors of a derivation of A. We prove, under some additional assumptions, a necessary and sufficient condition for 𝒵 to be a p-basis of the minimal ring of constants containing 𝒵. The main preparatory result is the unique decomposition theorem with respect to a factor from a given subalgebra containing A^p.     

有资格限制的指派问题的求解方法

在实际的指派工作中，常会遇到某个人有没有资格去承担某项工作的问题，因此，本建立了有资格限制的指派问题的数学模型。在此数学模型中，将效益矩阵转化为判定矩阵，由此给出了判定此种指派问题是否有解的方法；在有解的情况下，进一步将效益矩阵转化为求解矩阵，从而将有资格限制的指派问题化为传统的指派问题来求解。最后给出了一个数值例子来说明这样的处理方法是有效的。     

On Sums of Coefficients of Products of Polynomials

We study the nilpotency of the sums of all coefficients of some sorts of products of polynomials over reversible, IFP, and NI rings, and introduce an SCN ring as a generalization. We characterize SCN rings in relation with related ring properties, and also provide several useful properties and ring extensions of SCN rings.     

图表示范畴的两个子范畴

引进图表示范畴的两个子范畴,研究它们的同调性质。     

Asymptotics of families of solutions of nonlinear difference equations

One method to determine the asymptotics of particular solutions of a difference equation is by solving an associated asymptotic functional equation. Here we study the behaviour of the solutions in an asymptotic neighbourhood of such individual solutions. We identify several types of attraction and repulsion, which range from almost orthogonality to almost parallelness. Necessary and sufficient conditions for these types of behaviour are given.     

Extreme values of the sum of squares of degrees of bipartite graphs

In this paper we determine the minimum and maximum values of the sum of squares of degrees of bipartite graphs with a given number of vertices and edges.     

Rates of Convergence of Means of Euclidean Functionals

Let L be the Euclidean functional with p-th power-weighted edges. Examples include the sum of the p-th power-weighted lengths of the edges in minimal spanning trees, traveling salesman tours, and minimal matchings. Motivated by the works of Steele, Redmond and Yukich (Ann. Appl. Probab. 4, 1057–1073, 1994, Stoch. Process. Appl. 61, 289–304, 1996) have shown that for n i.i.d. sample points {X ₁,…,X _n } from [0,1] ^d , L({X ₁,…,X _n })/n ^(d−p)/d converges a.s. to a finite constant. Here we bound the rate of convergence of EL({X ₁,…,X _n })/n ^(d−p)/d . Y. Koo supported by the BK21 project of the Department of Mathematics, Sungkyunkwan University. S. Lee supported by the BK21 project of the Department of Mathematics, Yonsei University.     

Riesz半群母元广义本征函数系统的完整性

本文在可分的Ｂａｎａｃｈ空间研究Ｒｉｅｓｚ半群无穷小母元广义本征函数系统的完整性，利用母元的予解式和谱分布，我们给出予解式的级为有限时广义本征函数系统完整性的判定．