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n圆盘系统的固有频率的特征多项式
THE CHARACTERISTIC POLYNOMIAL OF THE NATURAL FREQUENCY OF N-CIRCULAR DISK SYSTEM
【摘要】 对等惯、等轴性且具有固定端的n圆盘系统的特征多项式进行了分析。得出了其系数与二项式系数的一个有趣的关系;并对特征值的取值进行了有关讨论;最后也给出了得到的三个组合恒等式。
【Abstract】 This paper analyses the characteristic polynomial of the n-circular disk system with same inertia, with same axis properties and with fixed ends. An interesting connection between coefficients of the polynomial and binomial coefficients (theorem 2)is obtained. The range of the charateristic values (theorem 4) is here discussed. And three combinatorial identities are given.
【关键词】 圆盘系统;
特征多项式;
二项式系数;
组合恒等式;
【Key words】 disks; systems; characteristic polynomials; binomial coefficients; combinatorial identities;
【Key words】 disks; systems; characteristic polynomials; binomial coefficients; combinatorial identities;
- 【文献出处】 电子科技大学学报 ,Journal of University of Electronic Science and Technology of China , 编辑部邮箱 ,1993年02期
- 【分类号】O29;TB111
- 【下载频次】33