Article ID Journal Published Year Pages File Type
422155 Electronic Notes in Theoretical Computer Science 2008 11 Pages PDF
Abstract

We show that e, π and other remarkable real numbers are limits of E2-computable sequences of rational numbers having a polynomial rate of convergence (as usual, E2 denotes the second Grzegorczyk class). However, only the rational numbers are limits of E2-computable sequences of rational numbers with an exponential rate of convergence.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics