From 61b5ce20f25c5785e41574998a12c6d06eb05a5e Mon Sep 17 00:00:00 2001 From: Thomas Albers Date: Wed, 8 Mar 2023 23:43:00 +0100 Subject: Restructure build system and directory structures --- math/levi_cevita.org | 26 -------------------------- 1 file changed, 26 deletions(-) delete mode 100644 math/levi_cevita.org (limited to 'math/levi_cevita.org') diff --git a/math/levi_cevita.org b/math/levi_cevita.org deleted file mode 100644 index aaa2074..0000000 --- a/math/levi_cevita.org +++ /dev/null @@ -1,26 +0,0 @@ -#+TITLE: The Levi Cevita Symbol -#+SETUPFILE: ../math_options.org -#+LATEX_HEADER: \usepackage{bm} -#+LATEX_HEADER: \usepackage{mathtools} - -* Disclaimer -This site as of now just a technology demonstration and its claims -should not be taken as true (even though I myself am pretty confident -they are) -* Levi Cevita symbol -\begin{equation*} -\varepsilon_{ijk} = \left\{\begin{array}{rl} -1,&(i,j,k) \in \{(1,2,3), (2,3,1), (3,1,2)\}\\ --1,&(i,j,k) \in \{(3,2,1), (2,1,3), (1,3,2)\}\\ -0,&\text{otherwise} -\right{} -\end{array} -\end{equation*} - -\begin{equation*} -\varepsilon_{ijk} = \varepsilon_{jki} = \varepsilon_{kij} = - \varepsilon_{ikj} = - \varepsilon_{jik} = - \varepsilon_{kji} = 1 -\end{equation*} - -\begin{align*} -\sum_{k=1}^3 \varepsilon_{ijk}\varepsilon_{kmn} = \delta_{im} \delta_{jn} - \delta_{in} \delta_{jm} -\end{align*} -- cgit v1.2.3