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Meaning of finite-dimensional

fi•nite-di•men•sion•al

Pronunciation: (fī'nīt di-men'shu-nl, -dī-), [key]
— adj. Math.
  1. (of a vector space) having a basis consisting of a finite number of elements.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.