Assertion: abelian group's element | /r/HasProperty | linear maps
Facets:
value: given a euclidean vector space
type: OTHER
value: from e
type: LOCATION
Source sentences:
text: Given a Euclidean vector space E of dimension n, the elements of the orthogonal group O(n) are the linear maps from E to E that map orthogonal vectors to orthogonal vectors.
text: x n } {\displaystyle G=\{x_{1},\ldots ,x_{n}\}} such that every element of the group is a linear combination with integer coefficients of elements of G.