No, that would be incorrect. A plane is 2D. If you have two functions, and take ... | Hacker News

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		klodolph on Sept 7, 2024 \| parent \| context \| favorite \| on: How does cosine similarity work? No, that would be incorrect. A plane is 2D. If you have two functions, and take their span, you get a 2D plane. It is a regular, flat, 2D plane. When people say “hyperplane” they are generally talking about something with more than two dimensions.

drdeca on Sept 7, 2024 [–]

At least when the ambient vector space is more than 3-dimensional, yeah. Specifically, a hyperplane generally refers to something with codimension 1.

(So, when the ambient vector space is finite-dimensional, the dimension of a hyperplane is one less than the dimension of the ambient vector space.)

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