Arrangements of Semicircles on S

ＡｒａｎｇｅｍｅｎｔｓｏｆＳｅｍｉｃｉｒｃｌｅｓｏｎＳ１ＬｉＹｉｎｇｚｉ（李英姿）ＤｉｎｇＲｅｎ（丁仁）（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＨｅｂｅｉＴｅａｃｈｅｒｓ’Ｕｎｉｖｅｒｓｉｔｙ，Ｓｈｉｊｉａｚｈｕａｎｇ，Ｈｅｂｅｉ，０５００１６）Ｃｏｍｍｕｎｉｃ...     

Dynamics of Polynomial Automorphisms of C~N

ＤｙｎａｍｉｃｓｏｆＰｏｌｙｎｏｍｉａｌＡｕｔｏｍｏｒｐｈｉｓｍｓｏｆＣ~Ｎ￥ＺｈａｎｇＷｅｎｊｕｎ（ＨｅｎａｎＵｎｉｖｅｒｓｉｔｙ，Ｋａｉｆｅｎｇ，Ｐ．Ｒ．Ｃｈｉａｎ，４７５００１）Ａｂｓｔｒａｃｔ：Ｔｈｉｓｐａｐｅｒｉｓａｓｓｉｇｎｅｄｔｏｄｉｓ?..     

An Absolute Proof of Paracompactness of the Box Product □~ω（ω＋1）

ＡｎＡｂｓｏｌｕｔｅＰｒｏｏｆｏｆＰａｒａｃｏｍｐａｃｔｎｅｓｓｏｆｔｈｅＢｏｘＰｒｏｄｕｃｔ□￣ω（ω＋１）ＹａｎｇＳｈｏｕｌｉａｎ（杨守廉）（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＣａｐｉｔａｌＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｂｅｉｊｉｎｇ，１０００３７）...     

Solutions of Superlinear Hammerstein Integral Equation in Banach Spaces and Applications

ＳｏｌｕｔｉｏｎｓｏｆＳｕｐｅｒｌｉｎｅａｒＨａｍｍｅｒｓｔｅｉｎＩｎｔｅｇｒａｌＥｑｕａｔｉｏｎｉｎＢａｎａｃｈＳｐａｃｅｓａｎｄＡｐｐｌｉｃａｔｉｏｎｓＬｏｕＢｅｎｄｏｎｇ（娄本东）（Ｄｅｐｔ．ｏｆＭａｔｈ．ＳｈａｎｄｏｎｇＵｎｉｖｅｒｓｉｔｙ，...     

On the Lower Bound of the Minimum Area of Convex Lattice Polygons

ＯｎｔｈｅＬｏｗｅｒＢｏｕｎｄｏｆｔｈｅＭｉｎｉｍｕｍＡｒｅａｏｆＣｏｎｖｅｘＬａｔｔｉｃｅＰｏｌｙｇｏｎｓＣａｉＴｉａｎｘｉｎ（蔡天新）（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＨａｎｇｚｈｏｕＵｎｉｖｅｒｓｉｔｙ，Ｈａｎｇｚｈｏｕ，Ｚｈｅｊｉａｎｇ．３１００２...     

Average Widths of Multivariate Besov Class S_(pθ)_rB(R~d)in L_q(R~d)

ＡｖｅｒａｇｅＷｉｄｔｈｓｏｆＭｕｌｔｉｖａｒｉａｔｅＢｅｓｏｖＣｌａｓＳｒｐθＢ（Ｒｄ）ｉｎＬｑ（Ｒｄ）ＪｉａｎｇＹａｎｊｉｅ（蒋艳杰）（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＢｅｉｊｉｎｇＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｂｅｉｊｉｎｇ，１００８７５）ＭＲ（...     

On the construction of Approximate Inertial Manifolds

ＯｎｔｈｅＣｏｎｓｔｒｕｃｔｉｏｎｏｆＡｐｐｒｏｘｉｍａｔｅＩｎｅｒｔｉａｌＭａｎｉｆｏｌｄｓＷａｎｇＢｉｘｉａｎｇ（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＬａｎｚｈｏｕＵｎｉｖｅｒｓｉｔｙ，Ｌａｎｚｈｏｕ７３００００）ＯｎｔｈｅＣｏｎｓｔｒｕｃｔｉｏｎｏｆＡｐ...     

A Left Invariant Differential Operator not of Transitive Elliptic Type

ＡＬｅｆｔＩｎｖａｒｉａｎｔＤｉｆｆｅｒｅｎｔｉａｌＯｐｅｒａｔｏｒｎｏｔｏｆＴｒａｎｓｉｔｉｖｅＥｌｌｉｐｔｉｃＴｙｐｅＦｅｎｇＸｉｕｆａｎｇ（冯秀芳）（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＨｅｎａｎＵｎｉｖｅｒｓｉｔｙ）Ａｂｓｔｒａｃｔ：Ｔｈｅｌｅｆｔｉｎ...     

A Note of a G.S. Petrov's Result About the Weadened 16th Hilbert Probelm

ＡＮｏｔｅｏｆａＧ．Ｓ．Ｐｅｔｒｏｖ’ｓＲｅｓｕｌｔＡｂｏｕｔｔｈｅＷｅａｋｅｎｅｄ１６ｔｈＨｉｌｂｅｒｔＰｒｏｂｌｅｍＬｉＢａｏｙｉ（李宝毅）（Ｄｅｐｔ．ｏｆＭａｔｈ．ＴｉａｎｊｉｎＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｔｉａｎｊｉｎ，３００１９３，Ｐ...     

On Compact Perturbations of m-Accretive Operators

ＯｎＣｏｍｐａｃｔＰｅｒｔｕｒｂａｔｉｏｎｓｏｆｍ┐ＡｃｒｅｔｉｖｅＯｐｅｒａｔｏｒｓＺｈａｎｇＧｕｏｗｅｉ（Ｄｅｐｔ．ｏｆＢａｓｉ．Ｓｃｉ．，ＳｈｅｎｙａｎｇＡｇｒｉｃｕｌｔｕｒａｌＵｎｉｖｅｒｓｉｔｙ，Ｓｈｅｎｙａｎｇ１１０１６１）Ｋｅｙｗｏｒ...     

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。     

碾压混凝土坝施工层面变形分析模型

针对碾压混凝土坝施工层面对大坝变形产生显著影响的问题,深入研究了施工层面的变化性质及规律,提出了层面不同阶段变形的模拟方法,建立了施工层面有厚度和无厚度分析模型,提出的模型能反映层面的弹性变形、衰减蠕变、不可逆变形以及加速蠕变等变形状态．实例分析表明:所提出的碾压混凝土坝施工层面有厚度和无厚度分析模型能较客观地模拟大坝的结构变化形态,尤其是施工层面有厚度分析模型较完整地模拟了层面的渐变规律,其计算结果与原位监测成果吻合较好．同时,提出的方法和建立的分析模型可推广应用于常规混凝土坝,特别是坝基内断层和夹层等变形规律的分析．     

L－fuzzy集网的R－收敛性质

本文在ＬＦ拓扑空间中建立了Ｌ－ｆｕｚｚｙ集网的弱收敛（Ｒ－收敛）概念，应用文［４］中的Ｒ－闭包，系统讨论了它们的性质，证明了等式ＲｌｉｍＡ＿ｎ＝∧（∨Ａ＿ｍ）＿Ｒ和ＲｌｉｍＡ＿ｎ＝Ａ＿ｎ＝∧（∨Ａ＿ｍ）＿Ｒ并且给出了Ｌ－ｆｕｚｚｙ集网与其子网之间的关系。     

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.     

On the R-Order of Convergence of a Family of Methods for Simultaneous Extraction of Part of All Roots of Algebraic Polynomials

This note deals with the R-order of convergence of Weierstrass-Durand-Kerner-Dochev type single-step methods for the simultaneous determination of only a part of all roots of algebraic polynomials.     

Variational analysis of functions of the roots of polynomials

The Gauss-Lucas Theorem on the roots of polynomials nicely simplifies the computation of the subderivative and regular subdifferential of the abscissa mapping on polynomials (the maximum of the real parts of the roots). This paper extends this approach to more general functions of the roots. By combining the Gauss-Lucas methodology with an analysis of the splitting behavior of the roots, we obtain characterizations of the subderivative and regular subdifferential for these functions as well. In particular, we completely characterize the subderivative and regular subdifferential of the radius mapping (the maximum of the moduli of the roots). The abscissa and radius mappings are important for the study of continuous and discrete time linear dynamical systems. Dedicated to R. Tyrrell Rockafellar on the occasion of his 70th birthday. Terry is one of those rare individuals who combine a broad vision, deep insight, and the outstanding writing and lecturing skills crucial for engaging others in his subject. With these qualities he has won universal respect as a founding father of our discipline. We, and the broader mathematical community, owe Terry a great deal. But most of all we are personally thankful to Terry for his friendship and guidance. Research supported in part by the National Science Foundation Grant DMS-0203175. Research supported in part by the Natural Sciences and Engineering Research Council of Canada. Research supported in part by the National Science Foundation Grant DMS-0412049.     

Convergence of densities of some functionals of Gaussian processes

The aim of this paper is to establish the uniform convergence of the densities of a sequence of random variables, which are functionals of an underlying Gaussian process, to a normal density. Precise estimates for the uniform distance are derived by using the techniques of Malliavin calculus, combined with Stein?s method for normal approximation. We need to assume some non-degeneracy conditions. First, the study is focused on random variables in a fixed Wiener chaos, and later, the results are extended to the uniform convergence of the derivatives of the densities and to the case of random vectors in some fixed chaos, which are uniformly non-degenerate in the sense of Malliavin calculus. Explicit upper bounds for the uniform norm are obtained for random variables in the second Wiener chaos, and an application to the convergence of densities of the least square estimator for the drift parameter in Ornstein–Uhlenbeck processes is discussed.     

Number of connected components of groups of real points of adjoint groups

We present a unified approach to compute the number of connected components in the group of real points of adjoint almost simple real algebraic groups.