本文对主经圆定理给出了一个简练的解析证明，并且在此定理的思想基础上，得到了椭圆上法线的两个性质定理。
This paper has given a pithy analytic Proof of "principal diameter circle"Theorem. And on the basis of the thought of the theorem. We obtain two theorem about ellipse normal.
证明了在二元理论设计中绘制轴面流线的定理；推导了轴面速度的解析方程和二元电算法的一套计算机的数学模型。
The principle of plotting the meridional streamline is proved and an analytic equation for meridional velocity and a set of mathematical models are developed.
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.
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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