up:: Vector Space
A vector space over the real numbers is said to be Euclidean when it is endowed with an Inner Product.
Notice that, since Every inner product induces a norm in a vector space, Euclidean vector spaces are also Normed Vector Spaces.
up:: Vector Space
A vector space over the real numbers R is said to be Euclidean when it is endowed with an Inner Product.
Notice that, since Every inner product induces a norm in a vector space, Euclidean vector spaces are also Normed Vector Spaces.