广义联图的正则性

讨论了两个图的广义联图的End-正则性,给出了当图X、Y的广义联图G（y1,…ym）End-正则时,图X也End-正则应满足的条件。     

广义Baby-TKK李代数的一类顶点表示

利用广义 Virasoro- Toroidal李代数的顶点表示理论研究了广义 Baby- TKK李代数的一类顶点表示 .     

广义半π-正则环

In this paper, the concept of right generalized semi-w-regular rings is defined. We prove that these rings are non-trival generalizations of both right GP-injective rings and semi- π-regular rings. Some properties of these rings are studied and some results about generalized semiregular rings and GP-injective rings are extended.     

广义Tricomi问题解的正则性

<正> 引言 关于蜕型线为非特征的二个自变量的二阶混合型方程的边值问题已有许多工作(见[1],[2]),但关于解的正则性,除[3,4]文外,还很少有所讨论.本文讨论了相当一般的蜕型线为非特征的二个自变量的二阶混合型方程的广义Tricomi问题的解的正则性.     

可换的广义正则环与广义 V 环的关系

本文把可换正则环类恰为可换 V 环类的结果推向广义的情形.定义了ι-正则环,并在可换情形研究它与文献[1]中提出的ι-V 环的关系.     

广义磁流体方程组轴对称解的正则准则

利用能量法研究广义磁流体方程组的轴对称弱解在三维空间中的正则性,得到了用方位角分量控制的正则准则,该准则表明方位角分量起主导作用.     

广义半$\pi$-正则环

In this paper, the concept of right generalized semi-π-regular rings is defined. We prove that these rings are non-trival generalizations of both right GP-injective rings and semi- π-regular rings. Some properties of these rings are studied and some results about generalized semiregular rings and GP-injective rings are extended.     

正则矩阵对的广义特征值扰动定理

1.引言 关于普通特征值扰动的Bauer-Fike定理已被推广到A为非可对角化的情形.与此相应,广义特征值的扰动问题,亦有类似的结论.将[1]中的结论稍加改进并且推广至一般正则对的情形,是本文一部分内容,另一部分是研究广义近似特征值以及广义近似不变子空间的特征值扰动,本文采用的范数不局限于谱范数,而是一般的p-范数(1≤p≤+∞).     

广义双正则函数向量的非线性边值问题

利用Schauder不动点定理和积分方程的方法，讨论了实Clifford分析中广义双正则函数向量的非线性边值问题解的存在性及其解的积分表达式。     

关于正则态射的广义Moore-Penrose逆

通过态射的正则性,讨论加法范畴中态射的广义Moore-Penrose逆.给出了正则态射的广义Moore-Penrose逆存在的几个充要条件以及广义Moore-Penrose逆的表达式.     

PROJECTIVE DIFFERENTIAL GEOMETRY OF SINGULARITIES OF PLANE CURVES

<正> In a recent paper the present author has established somerepresentations for a plane curve C in the neighbourhood of a singularpoint O characterized by the property that the tangent t(?) of C at O hasa contact of order m—1((?)2) with the curve.For convenience'sakewe have adopted non-homogeneous coordinates x,y of a point to represent the expansion of the curve.     

两类新的广义Ball曲线

本文提出两类新的广义Ｂａｌｌ曲线,一类介于Ｗａｎｇ（王国瑾）和Ｓａｉｄ广义Ｂａｌｌ曲线之间,另一类介于Ｂｅｚｉｅｒ和Ｓａｉｄ曲线之间,同时给出有关的升阶公式、递推算法及转化成Ｂｅｚｉｅｒ形式的系数公式。     

HYPERBOLIC MEAN CURVATURE FLOW：EVOLUTION OF PLANE CURVES

In this paper we investigate the one-dimensional hyperbolic mean curvatureflow for closed plane curves. More precisely, we consider a family of closed curves F ： S1 × [0, T ） → R^2 which satisfies the following evolution equation δ^2F /δt^2 （u, t） = k（u, t）N（u, t）-▽ρ（u, t）, ∨（u, t） ∈ S^1 × [0, T ） with the initial data F （u, 0） = F0（u） and δF/δt （u, 0） = f（u）N0, where k is the mean curvature and N is the unit inner normal vector of the plane curve F （u, t）, f（u） and N0 are the initial velocity and the unit inner normal vector of the initial convex closed curve F0, respectively, and ▽ρ is given by
▽ρ Δ=（δ^2F /δsδt ,δF/δt） T , in which T stands for the unit tangent vector. The above problem is an initial value problem for a system of partial differential equations for F , it can be completely reduced to an initial value problem for a single partial differential equation for its support function. The latter equation is a hyperbolic Monge-Ampere equation. Based on this, we show that there exists a class of initial velocities such that the solution of the above initial value problem exists only at a finite time interval [0, Tmax） and when t goes to Tmax, either the solution convergesto a point or shocks and other propagating discontinuities are generated. Furthermore, we also consider the hyperbolic mean curvature flow with the dissipative terms and obtain the similar equations about the support functions and the curvature of the curve. In the end, we discuss the close relationship between the hyperbolic mean curvature flow and the equations for the evolving relativistic string in the Minkowski space-time R^1,1.     

平面有理Bzier曲线的几何包络性质

平面三次有理参数曲线段的形状控制问题,已圆满解决.本文讨论一般平面有理参数曲线的几何性质,给出曲线为凸的充分条件;同时也研究了曲线的包络性质,从几何角度给出平面有理曲线的定义.     

WEIERSTRASS POLYNOMIALS AND PLANE PSEUDO－HOLOMORPHIC CURVES

gO. IntroductionMany of the elementary properties of plane holomorphic curves have been establishedalso fOr pseudcrholomorphic curves. These include isolatedness of critical points and ofpoints of illtersection, positivity of intersection indices, removable singularities, ekistenceof (singular) limits under a volume bound (cf. [2] and references therein). Maybe evenmore strikingly singularities of plane pseudo--holomorphic curves topologically look quitethe same as holomorphic curve singulari…     

半平面内无限级Dirichlet级数的正规增长性

本文研究了半平面内无穷级Dirichlet级数的正规增长性问题.利用型函数的方法,获得了关于无穷X级的正规增长性的几个等价定理,推广了已有的结果.     

半平面上有限级Dirichlet级数的正规增长

本文在一般的指数条件下,研究了右半平面上有限级Ｄｉｒｉｃｈｌｅｔ级数的增长性和正规增长性与它的系数的关系,得到了两个充要条件．     

拟置换与实Clifford分析中的广义正则函数

本文应用拟置换的性质，得到了实Clifford分析中广义正则函数的充分必要条件．