08 2025 档案

摘要：3.1 Show that the dimensionality of a splitting field \(E/F\) of \(f(x)\) of degree \(n\) is at most \(n!\) solution: Let \(x_1,x_2,\dots,x_n\) be the 阅读全文

摘要：2.1 Show that the regular pentagon can be constructed with straight-edge and compass. Solution: Let \(z=e^{\frac{2\pi i}{5}}\), \(x_1=z+z^4=2\cos{\fra 阅读全文

摘要：title: "Chapter 4 Section 1" date: 2025-07-31 00:00:00 +0000 categories: [Jacoboson work problem] tags: [Work Problem] 4.1 Work Problem 1.1 Let \(E=\m 阅读全文