Tensors - Application Cases

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In the spirit of pragmatism for our engineering friends, this chapter discards rigor and details and starts with examples:

These two symbols are often used. The parity arrangement in the Levi-Civita symbol is judged like this: 123 is an even arrangement, and any two items are converted to an odd arrangement.Transform any two items into an even row.

1. It is very comfortable to use this thing to represent determinant:

Is this a third-order tensor, because by definition: