论文部分内容阅读
针对地震领域形变场研究遇到的两个难题——合理选取参考点和确定形变.运用数学原理、从实际出法探讨,提出应用n维线性向量空间算子,对n维线性独立的不同基底变换,可充分反映不同形变信息特征,而可获得论据充分,计算合理的筛选稳定点方法,定名寻稳法.研究成果表明广义逆法〔2〕,信号重合法〔3〕都分别属于寻稳法中的一种特例,论证了附加了XτX=min的约束条件的广义逆法的唯一解,实质是纯数学上抽象的附加了广
According to the two problems encountered in the study of deformation field in the field of seismicity, the reference points are selected reasonably and the deformation is determined.Using mathematical principles, the paper discusses the practical method and proposes the application of n-dimensional linear vector space operator to n-dimensional linearly independent different substrates Transform, which can fully reflect the characteristics of different deformation information, and can obtain a sufficient argument, the calculation of a reasonable screening stability point method, the name of the method of finding stability research results show that the generalized inverse method 〔2〕, signal coincidence 〔3〕 belong to find stable A special case of the law shows that the unique solution to the generalized inverse method with the constraint of XτX = min is essentially purely mathematical and abstracted