Translation and analysis of words by ChatGPT artificial intelligence
On this page you can get a detailed analysis of a word or phrase, produced by the best artificial intelligence technology to date:
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What (who) is cone-cone viscosimeter - definition
![Bridgegate]]" entrance to the [[George Washington Bridge]] in [[Fort Lee, New Jersey]]](https://commons.wikimedia.org/wiki/Special:FilePath/GWB Bridgegate entrance Sept 2016.jpg?width=200 "Bridgegate]]\" entrance to the [[George Washington Bridge]] in [[Fort Lee, New Jersey]]")
![[[Duke of Wellington]] statue, with cone (and reserve cones on standby)](https://commons.wikimedia.org/wiki/Special:FilePath/Wfm duke of wellington.jpg?width=200 "[[Duke of Wellington]] statue, with cone (and reserve cones on standby)")
Wikipedia
In linear algebra, a cone—sometimes called a linear cone for distinguishing it from other sorts of cones—is a subset of a vector space that is closed under scalar multiplication; that is, C is a cone if implies for every positive scalar s.
When the scalars are real numbers, or belong to an ordered field, one generally calls a cone a subset of a vector space that is closed under multiplication by a positive scalar. In this context, a convex cone is a cone that is closed under addition, or, equivalently, a subset of a vector space that is closed under linear combinations with positive coefficients. It follows that convex cones are convex sets.
In this article, only the case of scalars in an ordered field is considered.
