同余思想在藏历纪年与公元纪年相互换算中的应用

通过分析藏历纪年与农历干支纪年中的组合对应关系和循环规律,可探索出藏历纪年、农历干支纪年与公元纪年三者之间存在的内在数学规律.依据公元纪年数除以60所得的余数将公元纪年数分成60个集合,制成同余类换算表,给出了算余数直接查表进行藏历纪年与公元纪年相互换算的便捷方法.

Application of Congruence Theory in the Mutual Matrixing between Solar Calendar and Tibetan Calendar

By analyzing the permutation relationship of the Tibetan calendar and the lunar calendar,this article explores the inherent mathematical rule about the Tibetan calendar,the lunar calendar and the solar calendar.According to the number of the year based on the solar calendar divided by 60,the complements can be divided into 60 sets and the sets will compose a congruence conversion table,so we obtain a numerical table for the congruence directly to the Tibetan calendar and the solar calendar.