认识 HTML 超文本标记语言（HyperText Markup Language，简称：HTML）是一种用于创建网页的标准标记语言。利用其编写的文件放在 Web 服务器上，任何浏览器就能通过互联网得到相应的 Web 页面。 HTML 不是一种编程语言，而是一种标记语言 (markup language) 标记语言是一套标记标签 (markup tag) HTML 使用标记标...

1. Introduction The addition of angular momenta is a fundamental problem in modern physics. For instance, when dealing with systems composed of multiple particles, such as atoms with multiple elect...

Consider two infinite grounded metal planes with an angle $\alpha$ between them, as shown in the following figure. A point charge $Q$ is located at $(r_0,\phi_0,0)$ in cylindrical coordinates, wher...

Question: Try to solve the following integral: [\int_0^1 \frac{x \ln(1+x)}{1+x^4} \, \mathrm{d}x.] I have answered this question on Zhihu, you can find it here. Solution: We define $ f(z) = z \l...

Question: Try to solve the following integral: [\int_0^{\frac{\pi}{2}} \frac{\ln\cos x}{x^2 + \ln^2 \cos x}\, \mathrm{d}x.] This question has been solved on Zhihu, you can find my solution here. ...

Question: Try to solve the following integral: [\int_0^1 \int_0^1 \frac{y^2}{(x^2y^2+1+2y^2)(y^2+1)}\, \mathrm{d}x\mathrm{d}y.] I have already solved this integral on Zhihu, and you can see my so...

Record my mathematical answers on different Q&A websites, including various integral and series calculation questions.

Question: Try to prove the following integral: [\int_{0}^{\infty} z^{\mu/2} \mathrm{e}^{-z} L_{n}^{\mu}(z)J_{\mu}\left(2\sqrt{xz}\right) \mathrm{d}z = \frac{1}{n!} x^{n+\mu/2}\mathrm{e}^{-x},] wh...

利用 LaTeX 制作的中山大学物理与天文学院本科实验报告模板。

使用 TikZ 绘制复分析中圆形围道、半圆形围道、扇形围道、玦形围道等各种围道的实例。