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论中国古代历法推没灭算法的意义
引用本文:曲安京,李彩萍.论中国古代历法推没灭算法的意义[J].西北大学学报,1998,28(5):369-373.
作者姓名:曲安京  李彩萍
作者单位:西北大学数学系,宝鸡文理学院数学系
基金项目:陕西省教委专项科研基金,西北大学校内科研基金
摘    要:分析了历代历法设立“没限”与“灭限”的造术意义,纠正了以前的研究者对“没限”的误解。论证了唐代一行以“朔分所虚为灭”重新定义“灭日”,是为置闰算法而引入的概念,与推朔日日名无关。根据一行之后关于“没日”与“灭日”的定义,导出了置闰公式:闰月数=(没日数+灭日数)/30。

关 键 词:    历法    自然科学史

On Algorithms of the Mo and Mie in Calendrics of Ancient China
Qu Anjing,Li Caiping,Han Qiheng.On Algorithms of the Mo and Mie in Calendrics of Ancient China[J].Journal of Northwest University(Natural Science Edition),1998,28(5):369-373.
Authors:Qu Anjing  Li Caiping  Han Qiheng
Institution:Qu Anjing 1) Li Caiping 2) Han Qiheng 2)
Abstract:The limits of Mo and Mie are two parameters which were used to indicate in which period there should be a day of Mo or Mie.It is analysed how such parameters were constructed and corrects a misunderstanding of the limit of Mo.The notion of the Mie was changed to difference between 30 days and a synodic month after the Dayan Calendar (724 A.D.).This change is for calculating the intercalation,having nothing to do with the calculating of a new moon.According to the definitions of Mo and Mie after the Tang Dynasty,a formula of intercalation is derived as follows:the number of intercalary month=(the number of Mo the number of Mie)/30.
Keywords:Mo  Mie  intercalation  calendrics  history of natural science  
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