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In mathematics and theoretical physics, a tensor is antisymmetric or alternating on (or with respect to) an index subset if it alternates sign (+/−) when any two indices of the subset are interchanged. The index subset must generally either be all covariant or all contravariant.
Examples, Notation & Antisymmetric and symmetric tensors
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tensor antisymmetric displaystyle indices symmetric dots pair covariant order frac index tensors sign ijk -t respect subset contravariant completely notation
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Antisymmetric tensor | related to Examples | Totally | 0.60 | section |
| Antisymmetric tensor | related to Examples | Trivially | 0.60 | section |
| Antisymmetric tensor | related to Examples | The | 0.60 | section |
| Antisymmetric tensor | related to Examples | The Riemannian | 0.60 | section |
| Antisymmetric tensor | related to Examples | Riemannian | 0.60 | section |
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