index of eigenvalues
基本释义:
本征值的指标
网络释义
1)index of eigenvalues,本征值的指标
2)signature of an eigenvalue,特征值的符号指标
3)index of eigenvalue,特征值指标
4)Characteristic Value Index System,特征值指标体系
5)bracketing of eigenvalue,本征值的划界
6)multiplicity of eigenvalue,本征值的重数
用法和例句
Using Prfer transform,we give a description of the signature of an eigenvalue,and give the relation between the signature of an eigenvalue and the signs of the corresponding leading coefficients of Weyl function and the pru¨fer angle at this eigenvalue.
利用Prfer变换,给出了上述Sturm-Liouville算子特征值的符号指标的具体形式;得到了特征值的符号指标与Weyl函数以及Prfer角在该特征值处的罗朗展式(泰勒展式)的首项系数的符号之间的关系;最后,在上述两个结果的基础上给出了上述Sturm-Liouville算子的第n个正特征值所对应的特征函数在[0,l]内的零点个数的计算公式。
Using Prufer transform, we give a description of the signature of an eigenvalue, and give the relation between the signature of an eigenvalue and the signs of the corresponding leading coefficients of Weyl function and the Priifer angle at this eigenvalue.
利用Prufer变换,给出了上述Sturm-Liouville算子特征值的符号指标的具体形式;得到了特征值的符号指标与Weyl函数以及Prufer角在该特征值处的罗朗展式(泰勒展式)的首项系数的符号之间的关系;这两个结果在形式上比P。
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