The Subjectivity of Computers






Jean-François COLONNA
[Contact me]

www.lactamme.polytechnique.fr

CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, École polytechnique, Institut Polytechnique de Paris, CNRS, France
france telecom, France Telecom R&D

[Site Map, Help and Search [Plan du Site, Aide et Recherche]]
[The Y2K Bug [Le bug de l'an 2000]]
[Real Numbers don't exist in Computers and Floating Point Computations aren't safe. [Les Nombres Réels n'existent dans les Ordinateurs et les Calculs Flottants ne sont pas sûrs.]]
[Please, visit A Virtual Machine for Exploring Space-Time and Beyond, the place where you can find thousands of pictures and animations between Art and Science]
(CMAP28 WWW site: this page was created on 07/11/1995 and last updated on 11/14/2023 17:56:51 -CET-)



(published in Communications of the ACM, volume 36, number 8, 08/1993)


Abstract: Real numbers do not exist in a computer. Ignoring this fact can lead to erroneous results when using floating point computations.


Keywords: Rounding-off Errors, Real Numbers, Floating Point Computations.



Contents:


Introduction:








Copyright © Jean-François COLONNA, 1995-2023.
Copyright © France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 1995-2023.