本文讨论了三角函数在有理度数上的取值的代数性质，得出其取值均为代数数。

This paper discusses an algebraic property of values of rational degrees of triangle functions. We obtain that they are all algebraic Numbers.

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针对层次分析法的不足，本文提出用五个三角模糊标度数来代替语言变量，以说明待选方案对评价准则的相对影响程度。

In view of the drawback of AHP, this paper advances to substitute five triangle fuzzy scale Numbers for linguistic variables, in order to evaluate the appraisal criteria's influence on alternative.

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采用微分方程高精度数值解法得到了随时间变化的摆角、摆长、摆长变化率以及运动轨迹的数值精确解。

The accurate numerical solutions of the angular displacement, the length and its rate, and the path are given with the numerical method.

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