First of all, pagoda lights.
This is a topic in Nine Chapters Algorithm Analogy written by Jason Wu, a mathematician in Ming Dynasty. The topic is:
Looking at the towering seventh floor from a distance, the red light doubled.
* * * light three hundred and eighty-one. How many lights are there on the top floor?
Solution:?
Sum of multiples of each layer:
1+2+4+8+ 16+32+64= 127
Number of lights on the top floor: 38 1 ÷ 127 = 3 (lights)
Second, the introduction of the work:
Jiuding acid hair blue boxing, also known as Jiuding blue boxing. Arithmetic in the early Ming Dynasty. The first volume of ten volumes was written by Jason Wu in Ming Dynasty, and it was written in 1450.
The preface of this book is "Examples of Multiplication and Division", which aims to explain the basic theory of the algorithm. This paper lists four operations, such as large number notation, decimal notation, unit of measurement and integer fraction, positioning, square root and difference, and explains them one by one in the form of poetry. The preface also puts forward a "writing algorithm" that has never appeared in China's mathematical works: draw squares according to the number of digits multiplied by two digits. Choose a direction to draw the diagonal of each cell, write the product of every two numbers in the corresponding cell, write it according to the rule that ten digits are above and one digit is below, and then add the diagonal lines one by one to get the digits of the required product. Volumes 1 to 9 are a compilation of solutions to more than 65,438+0,400 application problems, which follow the arithmetic style of nine chapters and belong to "Xiaomi, Decline, Shaoguang Monk". Poetry is expressed in rhyme; The algorithm of the analogy system is similar, combined with the practical application problems at that time, including commodity exchange, partnership management, interest calculation, marking on things (paying fees by commodity pricing) and so on. Volume 10 "Various squares", including square root, square root, high power, and the band from the sum of squares to the cube, uses the method of "standing open" instead of "increasing, multiplying and opening".
Three. About the author:
Jason Wu, whose real name is Xinmin, is a master. Zhejiang Renhe (now Hangzhou) people. Former Minister of State of Zhejiang Shogunate. The date of birth and death is unknown, living in the 15th century 1450 or so. China was a mathematician in Jingtai period of Ming Dynasty. He wrote nine chapters on algorithm comparison.
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We should pay close attention to the efficiency construction of government organs, effectively change the st