Computable real number

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A real number for which there exists an algorithm which yields a rational approximation to the number, as accurate as one pleases. The term "constructive real number" has a similar meaning, and is usually employed when a computable real number is considered in the framework of some system of constructive mathematics (see Constructive analysis).

How to Cite This Entry:
Computable real number. B.A. Kushner (originator), Encyclopedia of Mathematics. URL:
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098