| 有限集合上的集合方程与方程组 |
| |
| 引用本文： | 文锐.有限集合上的集合方程与方程组[J].陕西师范大学学报,1988(1). |
| |
| 作者姓名： | 文锐 |
| |
| 作者单位： | 陕西师大数学系 |
| |
| 摘 要： | 本文讨论了集合方程和集合方程组有解的充要条件,给出了集合方程解的个数的计算公式.对集合方程组解的个数,在一般条件下给出了上界,在较强的条件下则给出了计数公式.
|
| 关 键 词： | 集合方程 关联矩阵 |
AN EQUATION AND A SYSTEM OF SET EQUATIONS ON A FINITE SET |
| |
| Wen Rui.AN EQUATION AND A SYSTEM OF SET EQUATIONS ON A FINITE SET[J].Journal of Shaanxi Normal University: Nat Sci Ed,1988(1). |
| |
| Authors: | Wen Rui |
| |
| Institution: | Department of Mathematics |
| |
| Abstract: | In this paper we first discuss the necessary and sufficient conditions for a set equation to be solvable,meanwhile,a formula for ccunting the number of solutions is given,then we discuss the necessary and sufficient conditions for a system of set equations to be solvable.An upper bound for the number of solutions is given in general case,under stronger conditions,a counting foromula is given. |
| |
| Keywords: | Equation on a finite set incidence matrix |
| 本文献已被 CNKI 等数据库收录！ |
