1) arithmetic series of higher order
高阶等差级数
1.
Actually,the study of these problems is to find the sums of arithmetic series of higher order and Zhu Shijie obtained the results by using "Zhaocha" formulas which indeed are the interpolation formulas.
高次招差术是元代数学家朱世杰的重要成果,《四元玉鉴》中的“如象招数”门共有5问,均是招差问题,实际上是属于高阶等差级数求和,其求和是通过招差公式(即内插法公式)进行的。
2) high-order arithmetical series
高阶等差数列
3) arithmetical series
等差级数
1.
The method for finding"heng-diameter"and"gui-length"in the Zhou Bi Suan Jing(Arithmetical Classic of the Zhou Gnomon)can be regarded as an application of linear interpolation, while that for finding sun s displacement in the Dayan Calendar is similar to the sum formula of arithmetical series proposed by Liu Hui.
《周髀算经》中求“衡径”和“晷长”的方法可以视为一次插值法的应用，《大衍历》中“先定日数，径求积度及分”的方法实与刘徽提出的等差级数求和公式一致。
4) geometric progression growth common ratio
等比级数阶
6) geometric sequence of difference
阶差等比数列
补充资料：等差级数
1.数学用语。从第二项始﹐以下任一项与前一项的差恒等的级数﹐如10+14+18+22+26+……。它可以用a+(a+d)+(a+2d)+(a+3d)+……的形式来表示。也称算术级数。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条