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Currently Playing: Untold connection: Lagrange and ancient Chinese problem

Lagrange interpolating polynomial and an ancient Chinese problem is actually connected! It is a surprising connection, and a very inspiring one at the same time. It tells us that Mathematics has much more to discover! Lagrange interpolating polynomial is normally see as a statistical method, which tries to interpolate the relationship between two variables if we assume the data collected are all error-free, but the principle behind the polynomial is quite easy to grasp, and is related to the Chinese remainder theorem, even though the polynomial is of a somewhat continuous nature, and Chinese remainder theorem is of a somewhat discrete nature. The methods of solving both problems are not only similar in a general sense, but also in a very subtle sense, as discussed in the video. This striking similarity was pointed out by a Chinese book that I read written by the late mathematician Hua Luo-geng, who was a profilic mathematician, and even more notably, promoting mathematics education in China. Sources: https://en.wikipedia.org/wiki/Joseph-Louis_Lagrange (Photo of Lagrange) https://www.ancient.eu/Chinese_Art/ (Ancient Chinese art in thumbnail) https://www.jointpublishing.com/publishing/catalogue/humanity-academic/academic-reference/9789628830107.aspx (Photo of the book) https://kyp0809.pixnet.net/blog/post/97086520-%E4%B8%AD%E5%9C%8B%E6%95%B8%E5%AD%B8%E5%A4%A7%E5%B8%AB~%E8%8F%AF%E7%BE%85%E5%BA%9A (Photo of Hua Luo-geng) Other than commenting on the video, you are very welcome to fill in a Google form linked below, which helps me make better videos by catering for your math levels: https://forms.gle/QJ29hocF9uQAyZyH6 If you want to know more interesting Mathematics, stay tuned for the next video! SUBSCRIBE and see you in the next video! #mathemaniac #math #lagrange #polynomial #chineseremaindertheorem Video chapter: 00:00 Introduction 00:16 Ancient Chinese problem statement 01:02 Basic modular arithmetic 03:05 Lagrange interpolating polynomial 03:58 The connection 08:40 Solving the Chinese problem 11:49 Context (Background reading) 12:31 Endcard stuff