finitely
Adverb
Meaning
In a finite manner or degree.
Source: Webster's dictionarySynonyms
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A computation is a process that obeys finitely describable rules.
In any finite region of space, matter can only arrange itself in a finite number of configurations, just as a deck of cards can be arranged in only finitely many different orders. If you shuffle the deck infinitely many times, the card orderings must necessarily repeat.
there are finitely many solutions to this problem
A basic question in this direction is: are there finitely or infinitely many rational points on a given curve (or surface)?
A charge is a generalization in both directions: it is a finitely additive, signed measure.
By the fundamental theorem of finitely generated abelian groups it is therefore a finite direct sum of copies of Z and finite cyclic groups.