对定积分定义中分法T的任意性的讨论

Approach on Arbitrariness of Classification T in Defining Definitelntegral

在定积分定义中,特别强调了分法T和ζ_k的选取两个任意性。笔者仔细分析了区间上两种不同分法之间的相互关系,进而得到定积分定义中可以去掉分法T任意的限制的结论。

The difinition of Definite Integral lays stress on the two arbitrarinesses ofClassification T and selection of K. With a detail analysis of the mutual relation of two different classifications in space interval, it has come to a conclusion that the arbitrary restriction of Classifiaction T can be deleted in the defingion of Definite Integral.