论文标题
立方方程变得简单
The Cubic Equation Made Simple
论文作者
论文摘要
本文介绍了一个直观的函数,该功能简化了解决立方方程而无需冒险进入复杂空间。对许多人来说,在三联root的情况下使用三角函数表达了立方根(S)在单核案例中与真实部队中的三角函数表达。然而,我的功能为这种奇怪性提供了不同的观点,并表明两个世界之间的过渡实际上是平稳的。尽管我的行为类似于功能功能,但它不能以真实的激进分子表达。也就是说,我们成功证明了我的准确封闭形式的代数近似。因此,是的,Casus irreducibilis仍然保持着,但是真正的激进分子可以使您非常接近!
This article introduces an intuitive function MY that simplifies solving cubic equations without venturing into the complex space. To many, it's quite strange that cubic root(s) are expressed using trigonometric functions in the three-real-roots case versus real-radicals in the one-real-root case. Yet, the MY function provides a different perspective to this oddity and shows that the transition between the two worlds is actually smooth. Although MY's behavior resembles power functions, it cannot be expressed in real radicals. That said, we succeeded in proving an accurate closed form algebraic approximation of MY. So yes, casus irreducibilis still holds, but real radicals can get you very close!