The cyclotomic continued proportion is impossible to furnish Qing-times series with a solid basis.
割圆连比例不可能为清代级数论提供坚实的基础。
In this paper, I first give two methods with which we can determine all the power integral bases in maximal real subfields of cyclotomic fields.
本文首先给出了确定分圆域的极大实子域的幂元整基的两种方法；
At the same time, Archimedes gives an exact proof on the formula of area of circle, with the method of exhaustion method depending on the Cyclotomic.
刘徽之前，希腊的阿基米德用穷竭法也证明了圆的面积公式。
Cyclotomic continued proportion was the principal method for studies on infinite series in the Qing Dynasty, which we still have to go into a step further.
割圆连比例曾是清代无穷级数研究中所用的主要方法，但对它的研究目前还不够充分。
An algorithm for cyclotomic polynomial test is presented based on that all the roots of a cyclotomic polynomial are unity. The algorithm is directed. simple and realized easily.
本文利用分圆多项式的所有根是单位根的性质，直接从给定的多项式入手，提出了判定一个多项式是否为分圆多项式的算法．算法简单明了，易于实现．。
An algorithm for cyclotomic polynomial test is presented based on that all the roots of a cyclotomic polynomial are unity. The algorithm is directed. simple and realized easily.
本文利用分圆多项式的所有根是单位根的性质，直接从给定的多项式入手，提出了判定一个多项式是否为分圆多项式的算法．算法简单明了，易于实现．。
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