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The Definition section treats a dyadic as a covariant tensor, whereas the Example section offers an alternative definition according to which a dyadic is a mixed-valence tensor. The article Dyadic product offers a third definition, according to which a dyadic is simply the tensor product of two vectors, and thus a contravariant tensor. It might be helpful to standardize these pages to one definition, perhaps with a note on each explaining any alternative possibilities that may be common in the literature. I'm afraid I don't know whether one of them is more standard, or of so which. Dependent Variable ( talk) 00:17, 16 October 2010 (UTC)
It looks as though the matrix notation used to express the "identity dyadic tensor" assumes i = (1 0 0) etc., that is, that the basis vectors are expressed as rows of components, rather than columns. If so, it could do with a word of explanation to avoid anyone reading it as I = 3. Dependent Variable ( talk) 00:17, 16 October 2010 (UTC)
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| Text and/or other creative content from Dyadic tensor was copied or moved into Dyadics with this edit. The former page's history now serves to provide attribution for that content in the latter page, and it must not be deleted as long as the latter page exists. |
The Definition section treats a dyadic as a covariant tensor, whereas the Example section offers an alternative definition according to which a dyadic is a mixed-valence tensor. The article Dyadic product offers a third definition, according to which a dyadic is simply the tensor product of two vectors, and thus a contravariant tensor. It might be helpful to standardize these pages to one definition, perhaps with a note on each explaining any alternative possibilities that may be common in the literature. I'm afraid I don't know whether one of them is more standard, or of so which. Dependent Variable ( talk) 00:17, 16 October 2010 (UTC)
It looks as though the matrix notation used to express the "identity dyadic tensor" assumes i = (1 0 0) etc., that is, that the basis vectors are expressed as rows of components, rather than columns. If so, it could do with a word of explanation to avoid anyone reading it as I = 3. Dependent Variable ( talk) 00:17, 16 October 2010 (UTC)