本文就数列、级数、积分等内容，讨论了它们之间的联系及转化。
This article discusses the contents and the relations and conversion of series, sequences and integrals.
文章通过对无穷小量与无穷大量的阶的概念研究，用阶的估计讨论数学分析中数列、函数及级数收敛问题，也为收敛问题深入研究提供了一种方法。
This paper studies the concept of infinitesimal and infinity, and discusses the convergence of sequence, function and series with the estimation of the orders.
利用解析数论工具证明了算术级数数列中素数幂分布的若干结果，这些结果在提供RBIBD设计与PMD设计的渐近存在性定理的精确定界时具有重要作用。
We present several theorems on the distribution of prime powers. These results play a very important role in providing explicit bounds for the asymptotic existence theorems of RBIBD and PMD.
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