Adjective
finite-dimensional (not comparable)
(mathematics) (of a vector space) having a basis consisting of a finite number of elements.
Again from the Heine–Borel theorem, the closed unit ball of any finite-dimensional normed vector space is compact. Source: Internet
A characterization of finite dimensionality is that a Hausdorff TVS is locally compact if and only if it is finite-dimensional (therefore isomorphic to some Euclidean space). Source: Internet
Ado's theorem says every finite-dimensional Lie algebra is isomorphic to a matrix Lie algebra. Source: Internet
All norms on a finite-dimensional vector space are equivalent. Source: Internet
Axler (2204), p. 33 One often restricts consideration to finite-dimensional vector spaces. Source: Internet
A statistical model is semiparametric if it has both finite-dimensional and infinite-dimensional parameters. Source: Internet