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Jade Mirror of the Four Unknowns, [1] Siyuan yujian (simplified Chinese: 四元玉鉴; traditional Chinese: 四元玉鑒), also referred to as Jade Mirror of the Four Origins, [2] is a 1303 mathematical monograph by Yuan dynasty mathematician Zhu Shijie. [3] Zhu advanced Chinese algebra with this Magnum opus.
PARI/GP is a computer algebra system that facilitates number-theory computation. Besides support of factoring, algebraic number theory, and analysis of elliptic curves, it works with mathematical objects like matrices, polynomials, power series, algebraic numbers, and transcendental functions. [3]
Sometimes fortune telling also generates killings. When Yuan Gong told Zhu Di, the prince of Yan, that Zhu Di would be the emperor of Ming, [56] Yuan probably noticed that his words would help Zhu Di make his decision. Since the existing young emperor, Jianwen, would not just let his uncle take his throne, and after Zhu Di examined the trade ...
A diagram of Pascal's triangle in Zhu Shijie's Jade Mirror of the Four Unknowns, written in 1303. Advances in polynomial algebra were made by mathematicians during the Yuan Dynasty. The mathematician Zhu Shijie (1249–1314) solved simultaneous equations with up to four unknowns using a rectangular array of coefficients, equivalent to modern ...
Symbolab is an answer engine [1] that provides step-by-step solutions to mathematical problems in a range of subjects. [2] It was originally developed by Israeli start-up company EqsQuest Ltd., under whom it was released for public use in 2011.
Yang Hui, Qin Jiushao, Zhu Shijie all used the Horner-Ruffini method six hundred years earlier to solve certain types of simultaneous equations, roots, quadratic, cubic, and quartic equations. Yang Hui was also the first person in history to discover and prove " Pascal's Triangle ", along with its binomial proof (although the earliest mention ...
Zhuangyuan, or trạng nguyên in Vietnamese, variously translated into English as principal graduate, primus, or optimus, [1] was the title given to the scholar who achieved the highest score on highest level of the Imperial examination, Metropolitan examination [] (in the Tang dynasty) and Palace examination [] (in the Song dynasty) [2] in ancient China and Vietnam.
The 元 (yuan) denotes the unknown x, so the numerals on that line mean 18x. The line below is the constant term (-316) and the line above is the coefficient of the quadratic (x 2) term. The system accommodates arbitrarily high exponents of the unknown by adding more lines on top and negative exponents by adding lines below the constant term.