Trace Theorems

$$ \operatorname{Tr}(A+B) \equiv \operatorname{Tr}(A)+\operatorname{Tr}(B) $$$$ \operatorname{Tr}(A B \ldots Y Z) \equiv \operatorname{Tr}(Z A B \ldots Y) $$$$ \gamma^{\mu} \gamma^{\nu}+\gamma^{\nu} \gamma^{\mu} \equiv 2 g^{\mu \nu} I $$...

June 15, 2022 · 2 min · 367 words · CYLiu

French Helper Check-in Calendar

April 10, 2022 · 0 min · 0 words · CYLiu

Quantum Field Theory-Ryder

Quantum Feild Theory Ryder Chapter 2 Single-particle relativistic wave equations...

February 17, 2022 · 16 min · 3228 words · CYLiu

2022 French Learning Post

Date start 2022-01-20 Le Petit Prince Chapter I ...

January 20, 2022 · 5 min · 1063 words · CYLiu

2022 Reading Post

cover Name Time Progress 沙丘 2022.03.10-2022.03.12 100% 夏天、烟火和我的尸体 2022.05.12 100% 美国众神 2022.06.14-2022.06.16 100% 伽利略的苦恼 2022.07.09-2022.07.12 100% Charlie et la Chocolaterie 2022.07 100% Great Expectations 2022.08.02-2022.09.24 100%

January 3, 2022 · 1 min · 26 words · CYLiu

Install Linux Distro on Android

Android is based on linux kernel, so in theory Android system is able to accomplish many tasks in Linux. ...

October 1, 2021 · 2 min · 298 words · CYLiu

内网穿透与vnc

内网穿透 最简单的方案为ssh端口转发,但是ssh断掉之后不会自动重连,我们需要autossh,它可以监控本地端口状态自动重连 ...

September 28, 2021 · 1 min · 69 words · CYLiu

Group Theory for Physicists

Group Theory for Physicists 2.2 Group and its Multiplication Table Symmetric Transformation: A transformation is called the symmetric transformation of a system if it preserves the system invariant. Definition of a Group: A group $G$ is a set of symmetric transformation with a defined multiplication of elements, and satisfies the following rules: ...

June 27, 2021 · 3 min · 445 words · CYLiu

A visual introduction to differential forms and calculus on manifolds

A visual introduction to differential forms and calculus on manifolds Chapter 1 Background material 1.1 Review of vector spaces vector spaces $u,v,w\in V$,$c,d \in \mathbb R$ $v+w=w+v$ $(u+v)+w=u+(v+w)$ $v+0=0+v$ $v+(-v)=0$ $1\cdot v=v$ $c\cdot (d\cdot v)=(c\cdot d)\cdot v$ $c\cdot(v+w)=c\cdot v+c\cdot w$ $(c+d)\cdot v=c\cdot v+d\cdot v$ ...

May 31, 2021 · 2 min · 398 words · CYLiu

阿里云服务器安装Arch并配置

前天把阿里云服务器的Ubuntu重装成了ArchLinux ...

April 19, 2021 · 1 min · 135 words · CYLiu