Перевод и анализ слов искусственным интеллектом ChatGPT
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- этимология
auxiliary tensor - перевод на русский
математика
вспомогательный тензор
математика
тензорная плотность
![](https://commons.wikimedia.org/wiki/Special:FilePath/Navy supply vessel "Berlin".jpg?width=200)
![''Wangerooge'']], 2005](https://commons.wikimedia.org/wiki/Special:FilePath/Cuxhaven 2005 -Seeschlepper Wangerooge- by-RaBoe 001.jpg?width=200 "''Wangerooge'']], 2005")
.jpg?width=200 "6}} during New York fleet week, 2009")
![USNS ''Furman'']], 1981](https://commons.wikimedia.org/wiki/Special:FilePath/USNS Furman (T-AK-280) underway off Guam 1981.JPEG?width=200 "USNS ''Furman'']], 1981")
 is moored alongside the U.S. Naval Academy's Dewey Seawall.jpg?width=200 "US Navy barracks ship APL-61 in 2003")
 conducts a refueling at sea with Australian auxiliary oiler HMAS Sirius (AOR 266) as dock landing ship USS Tortuga (LSD 46) approaches during exercise Talisma.jpg?width=200 "6}}, June 2007")
общая лексика
вспомогательное судно
Определение
Википедия
In mathematics, the tensor algebra of a vector space V, denoted T(V) or T•(V), is the algebra of tensors on V (of any rank) with multiplication being the tensor product. It is the free algebra on V, in the sense of being left adjoint to the forgetful functor from algebras to vector spaces: it is the "most general" algebra containing V, in the sense of the corresponding universal property (see below).
The tensor algebra is important because many other algebras arise as quotient algebras of T(V). These include the exterior algebra, the symmetric algebra, Clifford algebras, the Weyl algebra and universal enveloping algebras.
The tensor algebra also has two coalgebra structures; one simple one, which does not make it a bialgebra, but does lead to the concept of a cofree coalgebra, and a more complicated one, which yields a bialgebra, and can be extended by giving an antipode to create a Hopf algebra structure.
Note: In this article, all algebras are assumed to be unital and associative. The unit is explicitly required to define the coproduct.
