关于运用逐差法处理物理实验数据时逐差间隔的最佳选取问题

本文对运用逐差法能减小多项式函数数据处理误差的机制和原因,从误差理论的角度出发运用数学手段结合实例进行了探讨,提出了逐差间隔选取的等效原则。对逐差间隔数的最佳选取问题根据误差理论加以数学分析作了比较详尽的论证,并以若干实例证实了结论的正确性。最后在比较物理实验数据处理诸方法优劣的基础上提出了应用各种方法的适宜条件和范围。

OPTIMAL SELECTION ON THE INTERVALS FOR HANDLIND THE RHYSICAL EXPERIMENT DATA BY THE METHOD OF DIFFERENCE WITH DATUM BY DATUM

This paper discusses the mechanism and reason for decreasing the handling polynomial function data on difference with durum by datum.From the error theory,some exemples are analysed and the equivalent principle for the intervals on datum by datum is presented.The optimal number for intervals is analysed in detail and shown by some examples for the correct result.At last,by making comparison between some methods for handling the physical experimental data to show the advantages of them,the proper condition and range in use for every method is also presented.