The Epsilon-tensor is an example of an asymmetric tensor. It is defined as: ϵ ϵ i j k = { 1 i f ( i , j , k ) ∈ ∈ { ( 123 ) , ( 231 ) , ( 312 ) } − − 1 i f ( i , j , k ) ∈ ∈ { ( 213 ) , ( 321 ) , ( 132 ) } 0 e l s e