![]() | Text and/or other creative content from Dyadic product 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. |
Is the tensor product of a row vector with a column vector still called a dyadic product? For example:
The indices in the definitions would have to be swapped in that case. -- RainerBlome 21:28, 27 August 2005 (UTC)
Why/how is this any different than the Outer Product? Should it be merged? —Preceding unsigned comment added by 132.170.160.64 ( talk) 22:56, 31 March 2008 (UTC)
I oppose to a merger of "dyadics" into this article, because
Further, the "dyadics" article needs some wikification. Crowsnest ( talk) 17:59, 18 July 2008 (UTC)
Given that all u, v and w are vectors, I don't understand the unsigned multiplication used in the 4th and 5th identities of the paragraph "Identities". I usually use unsigned multiplication for scalar multiplication (i.e. a scalar times a vector or tensor) and for outer (or dyadic) product between two vectors (or higher order tensors). I'm not a mathematician and I came here because I needed some practical identities regarding outer product. I think it would be useful for nonmathematicians if a definition or a reference of the unsigned multiplication is given, because it is evidently not what it is usually supposed to be (neither scalar multiplication nor dyadic product). Thanks. Eratostene — Preceding unsigned comment added by Eratostene ( talk • contribs) 17:56, 5 October 2011 (UTC)
If you do the dot-product multiplication first in either identity's right-hand side, you see there is no "undefined multiplication", since the remaining operation is multiplication of a vector by a scalar. 68.164.80.215 ( talk) 18:19, 2 August 2012 (UTC)
There is really no need for this article, its just a bit confusing to have a small article for something just because it has more than one name. — Preceding unsigned comment added by 2.123.253.142 ( talk) 23:30, 20 January 2012 (UTC)
The introduction distinguishes the "order" and "rank" of the resulting tensor. However, the page on tensors (linked to for both terms) indicates that these terms mean the same thing. So what exactly is meant by "order" and "rank" here? 98.223.186.49 ( talk) 09:57, 25 May 2012 (UTC)
Given the consensus to merge this article into the other dyadics articles ( see WP Maths), the merge is effectivley pre-done and can be inserted into dyadic tensor, although I plan to add/tweak more.
It conflicts the idea of merging this article into outer product, so to try and fix that a statement of the equivalence between "dyadic = outer = tensor" product in the context of dyadics, including the notation, has been added in this section. Maschen ( talk) 11:25, 23 August 2012 (UTC)
![]() | Text and/or other creative content from Dyadic product 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. |
Is the tensor product of a row vector with a column vector still called a dyadic product? For example:
The indices in the definitions would have to be swapped in that case. -- RainerBlome 21:28, 27 August 2005 (UTC)
Why/how is this any different than the Outer Product? Should it be merged? —Preceding unsigned comment added by 132.170.160.64 ( talk) 22:56, 31 March 2008 (UTC)
I oppose to a merger of "dyadics" into this article, because
Further, the "dyadics" article needs some wikification. Crowsnest ( talk) 17:59, 18 July 2008 (UTC)
Given that all u, v and w are vectors, I don't understand the unsigned multiplication used in the 4th and 5th identities of the paragraph "Identities". I usually use unsigned multiplication for scalar multiplication (i.e. a scalar times a vector or tensor) and for outer (or dyadic) product between two vectors (or higher order tensors). I'm not a mathematician and I came here because I needed some practical identities regarding outer product. I think it would be useful for nonmathematicians if a definition or a reference of the unsigned multiplication is given, because it is evidently not what it is usually supposed to be (neither scalar multiplication nor dyadic product). Thanks. Eratostene — Preceding unsigned comment added by Eratostene ( talk • contribs) 17:56, 5 October 2011 (UTC)
If you do the dot-product multiplication first in either identity's right-hand side, you see there is no "undefined multiplication", since the remaining operation is multiplication of a vector by a scalar. 68.164.80.215 ( talk) 18:19, 2 August 2012 (UTC)
There is really no need for this article, its just a bit confusing to have a small article for something just because it has more than one name. — Preceding unsigned comment added by 2.123.253.142 ( talk) 23:30, 20 January 2012 (UTC)
The introduction distinguishes the "order" and "rank" of the resulting tensor. However, the page on tensors (linked to for both terms) indicates that these terms mean the same thing. So what exactly is meant by "order" and "rank" here? 98.223.186.49 ( talk) 09:57, 25 May 2012 (UTC)
Given the consensus to merge this article into the other dyadics articles ( see WP Maths), the merge is effectivley pre-done and can be inserted into dyadic tensor, although I plan to add/tweak more.
It conflicts the idea of merging this article into outer product, so to try and fix that a statement of the equivalence between "dyadic = outer = tensor" product in the context of dyadics, including the notation, has been added in this section. Maschen ( talk) 11:25, 23 August 2012 (UTC)