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+#+title: The Levi Cevita Symbol
+#+setupfile: ../../math_options.org
+
+* 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*}