Let's look at an example: take 12 digits of a clock as a set, then other points, such as 13: 00, mean that the pointer points to 1, 15: 00 means that the pointer points to 3. 13 divided by 12 and 1, 15 divided by 12 and 3 cannot be divisible by 12, so the remainder is themselves. In this way, 1 and 13, 3 and 15 can be divided into a group according to the types of residues, and a * * can be divided into 12 "residue base classes", which correspond to 12, L, 2, 3,. Inspired by the conclusion of hour set, starting from the concept of residual class, it can be deduced that dividing the AD year by 60 and classifying these 60 different numbers can get 60 sets, that is, sets corresponding to AD years of 60 different years. Since the year of 1 is set to 1, we can directly divide the year of AD by 60. What is the remainder? The corresponding number is the required year. For the year of BC, because the calculated remainder is a negative integer between -60 and-1, and because there is no year 0, the negative integer remainder will eventually add 6 1, which can become a set number within 60. For example, A.D. 12, that is, Ren ShenNo. 12, and A.D. 432 divided by more than 60 12 is naturally the year of Ren Shen, A.D. 35 is the 35th B, and A.D. 275 divided by more than 60 years is also the year of B, and then the results are completely correct by traditional methods. In addition, the number of numbers is consistent with the size of the remainder, which saves the time of looking up the table and makes my method fast and accurate. We might as well draw a few numbers at random. In A.D. 1 15, divided by 60+55, it is No.55; in B.C. 145, it is-145 divided by 60, and the rest is -25, and the set within 60 is No.36, which is Shen Bing. 1278, divided by more than 60 18, is the year of Wuyin, 22 1, -22 1 ÷ 60 BC, and the rest of the sets within -4L and 60 are No.20, the year of Chen Geng. I checked, and everything is correct. Only the operation in BC is a little more complicated, but it is still simpler than the traditional method. 3. Establish a mathematical model-know the year of the main branch and find out the year of the AD, because the year of the main branch is actually only 60 years, but the year of the AD is infinite. Therefore, you can draw an image of such a function (Figure 2):
As can be seen from the figure 1, a y (branch) corresponds to an infinite number of x (a.d.), and the relationship between x and y can be obtained from the image:
For example, the number 1 is the year of the heart, which can be 1, 6 1,12/,18 1, or 60 BC, 120. It's still safe to research, but if the article has obvious hints and can determine the approximate age range of the year being researched (not necessarily within 60 years, but sometimes the corresponding year can be analyzed over 60 years), it can be converted (see below). Iii. Application example 1. Knowing the year of support and looking for the year of AD, Gong Zizhen, a patriotic poet in the Qing Dynasty, has a famous poem "Poetry of the Sea" ("Eclectic"), but what year is the year of the sea? I have read Selected Works of China in Past Dynasties (People's Education Publishing House) and Concise Literature Manual (Inner Mongolia People's Publishing House) successively, but I only saw Gong Zizhen's date of birth and death (1791-1841) and Poetry in the Sea, but that's enough. Divide by 60 according to the year of birth and death (179 1), and the remaining 5 1 is Xin Hainuo. 5 1, and because the poet's life is only 50 years, he will only meet once (No.39), and the first time will be counted from No.39. 5 1 is different from it. 2. As we all know, in the modern history of our country, a series of unequal treaties or events were named after the year of dry support, such as the Reform Movement of 1898, the treaty of shame and ugliness, and the Revolution of 1911. Because the words that make up the year of cadres and branches are uncommon and easy to forget. If you don't have a chronology of events at hand, just remember the year. The Reform Movement of 1898 was 1898, divided by 60, and the remaining 38, that is, 1898, can be used in the same way.
Only then can we work out that the remainder of 190 1 is 4 1, which should correspond to ugliness.
The remainder of191/year is 5 1, which corresponds to the year of Xinhai. 1 conclusion and significance of the paper. This paper is an attempt to study the historical age by mathematical method. I think these calculations can tell people that we can explore a wider field with mathematical tools. 2. The method deduced in this paper is relatively simple, and anyone with a little knowledge of mathematics can use it. It can be better used for the conversion of heavenly stems and earthly branches chronology and AD chronology, and it is much faster than the traditional method. 3. The chronology conversion method derived in this paper can help foreign friends better understand the ancient history and culture of China and contribute to the spread of Chinese civilization all over the world.