论文标题

重新访问一般立方:简化Cardano解决方案

Revisiting the general cubic: A simplification of Cardano's solution

论文作者

Liao, Hsin-Chieh, Shiue, Peter Jao-Shyong, Saul, Mark

论文摘要

受威廉Y.C.最近的工作的动机陈(Chen),他提出了一种通过考虑西尔维斯特(Sylvester)身份来求解立方方程的方法,我们以这种方式研究了获得的解决方案。它导致我们统一的解决方案与Cardano的公式不同。在本文中给出了许多例子,还以副产品获得了一些有趣的身份。

Motivated by the recent work of William Y.C. Chen, in which he presents a way to solve cubic equations by considering the identity of Sylvester, we investigate the solutions obtained in this way. It leads us to a unified expression of the solutions different from Cardano's formula. Plenty of examples are given in this paper, also some interesting identities are obtained as byproducts.

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