Recent content by akoohpaee

### REPLY TO g_edgar ### Hi, Many thanks for your reply! Assume that the array K_{ijk} (i,j,k are in {1,2,3}) is defined in such a way that K_{ijk}=\varepsilon_{ijk}. It can be shown that, this array behave as a tensor under covariant and contravariant coordinate transformations. In...

Dear You, In N-dimensions Levi-Civita symbol is defined as: \begin{align} \varepsilon_{ijkl\dots}= \begin{cases} +1 & \mbox{if }(i,j,k,l,\dots) \mbox{ is an even permutation of } (1,2,3,4,\dots) \\ -1 & \mbox{if }(i,j,k,l,\dots) \mbox{ is an odd permutation of } (1,2,3,4,\dots) \\ 0...