Computable Number
In mathematics, computable numbers are the real numbers that can be computed to within any desired precision by a finite, terminating algorithm. They are also known as the recursive numbers or the computable reals.
Equivalent definitions can be given using μ-recursive functions, Turing machines or λ-calculus as the formal representation of algorithms. The computable numbers form a real closed field and can be used in the place of real numbers for many, but not all, mathematical purposes.
Read more about Computable Number: Informal Definition Using A Turing Machine As Example, Formal Definition, Properties, Digit Strings and The Cantor and Baire Spaces, Can Computable Numbers Be Used Instead of The Reals?, Implementation
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