summaryrefslogtreecommitdiff
path: root/math/levi_cevita.org
diff options
context:
space:
mode:
authorThomas Albers <thomas@thomaslabs.org>2023-03-08 23:43:00 +0100
committerThomas Albers <thomas@thomaslabs.org>2023-03-08 23:43:00 +0100
commit61b5ce20f25c5785e41574998a12c6d06eb05a5e (patch)
tree20e2225b4f30b15d8dee30351041d1f33d42b34a /math/levi_cevita.org
parent561bac75579391c14e47eaccfabdf9eda98855da (diff)
Restructure build system and directory structuresHEADmaster
Diffstat (limited to 'math/levi_cevita.org')
-rw-r--r--math/levi_cevita.org26
1 files changed, 0 insertions, 26 deletions
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*}