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一类Poincaré系统的中心条件及极限环个数
中心条件 Poincaré系统
2009/11/2
考虑了形如 的Poincaré系统，这里 是n次齐次多项式，得到了当n = 4, 5, …, 8时系统的中心条件及细焦点的阶数和极限环个数．
关于投影群PSU(3,q)的一个注记
设计 射影平面 区传递 自同构群
2009/8/26
讨论了自同构群为PSU(3,q)的2-(v,k,1)设计,利用置换群的轮换分解,得到了一个组合设计的参数与置换群元素的稳定点的数目之间的不等式,证明了投影群PSU(3,q)不能区传递地作用在一个射影平面上。
V\'amos 拟阵的直立
直立 V\'amos拟阵 超平面
2008/5/15
通过利用一个拟阵与它的直立之间的关系,特别是通过处理一个拟阵与一个特殊映射 $f$之间的关系, 具体分析了V\'amos拟阵的直立问题,得到了除去平凡情形, V\'amos 拟阵没有直立的结论. 从而回答了由Welsh 提出``V\'amos拟阵是否有直立?''的问题.
Towards cohomology of renormalization: bigrading the combinatorial Hopf algebra of rooted trees
bigrading the combinatorial Hopf algebra rooted trees
2010/11/2
The renormalization of quantum field theory twists the antipode of a noncocommutative Hopf algebra of rooted trees, decorated by an infinite set of primitive divergences. The Hopf algebra of undecorat...
In a remarkable variety of contexts appears the modular data associated to finite groups. And yet, compared to the well-understood affine algebra modular data, the general properties of this finite g...
Weight Equations for Binary Linear Codes and Their Applications
Weight Equations Binary Linear Codes
2010/3/5
Some combinatorial problems concerning binary vector spaces are solved by applying the techniques developed in [1]. These illustrate that they are effective tools for such purposes.