同心圆靶的计盒维数

本文讨论了以严格递减的正数列{rn}为半径的同心圆靶E和将E的间隔按从大到小的顺序重排后得到新的同心圆靶F的计盒维数的关系,证明了E的计盒维数不小于F的计盒维数,且举例说明了不等式可严格成立。     

PACKING CIRCLES OF TWO DIFFERENT SIZES ON THE SPHERE. II

The authors prove that the density of any packing of disks with radii r ₅ = π/5 and R ₅ = π/2 − π/5 cannot exceed the density of the incircles of the Archimedean tessellation of symbol (4,4,5). This revised version was published online in August 2006 with corrections to the Cover Date.     

代数方程在任意圆外根的个数

从复变函数论知,复多项式f(u)=sum from l=0 to n (a_1u~(n-1))在u=u_0点的Taylor展开式是u的恒等式:     

GENERALIZED CIRCLES AND THEIR CONFORMAL MAPPING IN A SUBSPACE OF A WEYL SPACE

The authors give the necessary and sufficient conditions for a generalized circle in a Weyl hypersurface to be generalized circle in the enveloping Weyl space. They then obtain the neccessary and sufficient conditions under which a generalized concircular transformation of one Weyl space onto another induces a generalized transformation oil its subspaces. Finally, it is shown that any totally geodesic or totally umbilical hypersurface of a generalized concircularly flat Weyl space is also generalized concircularly flat.     

无穷级拟亚纯映射的充满圆及Borel方向

对于平面上的K-拟亚纯映射，文献^[1]里证明了有限正级K-拟亚纯映射必定存在充满圆序列及Borel方向；本文进一步证明了对于平面上无穷级K-拟亚纯映射也存在充满圆序列及Borel方向．     

一类无限路幂圈嵌套图边–平衡指数的研究

本文研究了无限路幂圈嵌套图C3m×Pm3(m≥3)的边-平衡指数集.利用套圈计算的方法给出无限路幂圈嵌套图C3m×Pm3(m≥3)最大的边-平衡指数的计算公式和其他指数对应图形的构造性证明,最后完全解决此类图的边-平衡指数集问题.