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finitely

C2
adverb

Pronunciation

UK

  • /fˈaɪnaɪtlɪ/

US

  • /fˈaɪnaɪtli/

Description

"Finitely" describes something that exists or happens within a limit. Think of counting apples. You can have finitely many apples because there is a stopping point, even if the number is very large. It is most often used in mathematics and computer science to describe sets, steps, or processes that do not go on forever. If you have finitely many cookies in a jar, you will eventually run out. While space may or may not be infinite, the number of pages in a book is finite.

The word is the adverb form of "finite," which means having limits or bounds. When we use "finitely," we are usually stressing that something is not endless. You would not usually hear it in daily talk, but it is natural in careful writing, especially when someone wants to say that the number of items or steps is limited.

Examples

  1. 1

    State machines

    The machine can be in only finitely many states.

  2. 2

    Finite process

    If the process always gets smaller, it must stop after finitely many steps.

  3. 3

    Group theory

    The paper focuses on finitely generated groups.

    • Domain

      in mathematics, finitely generated

      built from a limited set of basic elements

Forms and spellings

1 form open this card.

Main spelling

  • finitelyadverb