And that's why, a hundred years later, a great connector, yang hui, the mathematician of nam song, emerged。
Yang hui, kwok gwang, chan tong (hongzhou of zhejiang) and nam song mathematician. As a leading figure in the history of mathematics, his main contribution was the systematic integration of the deep-seated cascade technique, using the opening map of song jia constitution in the north as a tool, to shape the two generational achievements of the yang fai triangle and the doming art, leading china to centuries of high grade differentials and binary coefficients。
Yang fai took up and explained in detail in the book “an elaboration of the nine chapters of the algérie”, the “open-source map” of the constitution — the famous yang fai triangle。
The yang fai triangle, which preserves near-lost results and uses them in high-level and multi-scale calculations, is nearly 400 years ahead of the european pascal triangle。
At the same time, he created the system's enzyme on the basis of a sunk-up technique: from a polyhedrus formula, the problem of “stack-up” is converted into a high-level grade differential to sum, giving a series of strict formulas, such as triangulations, squares, quadrants, and so forth。
In deduced from these formulas, he was acutely aware that there was a numerical pattern between the well-stocked series and the slant figures of the jagan triangle. That is to say, the jagan triangle — that is, the yang fai triangle — each slanted numeric string is exactly the number to be used in an enzyme technique。
What do you mean? Let us give a typical example。
If the number on the outermost slope of the jagan triangle is the full number of 1 columns, the second is the natural number, the third is the number of 1, 3, 6, 10 ... And the fourth is the number of 1, 4, 10, 20 ... And the sum of all that is sought is the sum of the numbers of the tilted lines。
Yang fai has used the ja's constitutional triangle as a unifying tool to consolidate a myriad of problems, using the old fragmented empirical algorithms, upgrading them as a general theory that can be extrapolated and replicated, and formally laying the academic foundations for the ancient high-level differential studies in china。
After several decades of continuous improvement of algorithms and teaching, yang fai has continued to work on books such as the daily usage algorithm, the multiplication of the end of the modified book, the acre-sync-synthesis-synthesis, and so on. He has always insisted on “calculating to the point”, using amplification techniques for warehousing, engineering, commercial and trade measurement, integrating the principles of the yang fai triangle into the open shortcut, and creating a mouthpiece, drawing graphics... Yang fai's life was a life of inheritance and innovation, using the yang fai triangle to light up algebras and combinations, to build bridges between sizes and grades with a soot, thus building the core framework of china's ancient discrete mathematics, and writing a chapter on chinese mathematics。
