finite-dimensional

Adjective

Meaning

finite-dimensional (not comparable)

(mathematics) (of a vector space) having a basis consisting of a finite number of elements.

Source: en.wiktionary.org

Examples

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

Close letter words and terms

finite verb finite viewpoint finite-difference calculus finite-state automaton finiteless finitely