数列 progression; series; a series of numbers arranged according to a certain rule
收敛 1.(减弱或消失) weaken or disappear 她收敛了笑容。 her smile vanished.2.(约束言行) restrain oneself 他由于没有得手, 有些收敛。 as he has not been able to have his way, he has shown some restraint.3.[数学] convergence; constriction4.[医学] astringe; astringent; astriction; 收敛剂 [药理学] astringent; styptic; 收敛作用 astriction; astringency
We shall study a very particular kind of sequences, called convergent sequences . 我们将研究称为收敛数列的很特别的一类数列。
Theorem 2 ( boundedness of a convergent sequence ) if the sequenceis convergent , thenis bounded 定理2 (收敛数列的有界性)如果数列收敛,那么数列必定有界。
Theorem 4 ( relation of a convergent sequence between its subsequence ) if the sequence converges to , then any of its subsequence is also convergent , and the limit is also 定理4 (收敛数列与其子数列间的关系)如果数列收敛于,那么它的任一子数列也收敛,且极限也是。
The paper does some discussions on the characteristic which the bounded variation sequence has . ft is found that the monotone sequence is colsely related to it , and very similar with the bounded variation functions , and reach the conclusion as follows : the class of bounded sequence ? the class of convergencal sequence ? the bounded variation sequence ? the hounded monotone sequence 本文主要对囿变数列的特征作一些探讨,我们发现;它与单调数列关系密切,而且与有界变差函数十分类似,并得出如下关系;有界数列类?收敛数列类?囿变数列?单调有界数列。