Of course one arbitrarily large precision parameter is enough. Over 85 years ago Gödel demonstrated that every computable function, no matter how complex, has a

Of course one arbitrarily large precision parameter is enough. Over 85 years ago Gödel demonstrated that every computable function, no matter how complex, has a representation as a single real number. This idea was used in the diagonalization step in his proof of Gödel's Theorem.