determinant tensor

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determinant tensor [də′tər·mə·nənt ′ten·sər]

(mathematics)

A tensor whose components are each equal to the corresponding component of the Levi-Civita tensor density times the square root of the determinant of the metric tensor, and whose contravariant components are each equal to the corresponding component of the Levi-Civita density divided by the square root of the metric tensor. Also known as permutation tensor.

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