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Rounding, stipulation and notation issues in measurement

Published online by Cambridge University Press:  05 June 2013

F. Pavese*
Affiliation:
Torino, Italy
*
Correspondence: frpavese@gmail.com
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Abstract

In the context of measurement and of the definition of measurement units, a problem well known in computing science, the inherent propagation and accumulation of rounding errors throughout the intermediate steps of numerical calculation, is discussed in this paper, with some issues in notation, namely of integer numbers.

Type
Research Article
Copyright
© EDP Sciences 2013

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References

IEEE 754-2008: Standard for Floating-Point Arithmetic, http://ieeexplore.ieee.org/servlet/opac?punumber=4610933
Mills, I.M., Mohr, P.J., Quinn, T.J., Taylor, B.N., Williams, E.R., Adapting the International System of Units to the twenty-first century, Phil. Trans. R. Soc. A 369, 39073924 (2011) CrossRefGoogle ScholarPubMed
CGPM, On the possible future revision of the International System of Units, the SI, in Comptes Rendus des Séances de la XXIV Conférence Générale, Resolution 1 (Bureau International des Poids et Mesures, Sèvres, 2011), http://www.bipm.org/en/convention/cgpm/resolutions.html
Pavese, F., Some reflections on the proposed redefinition of the unit for the amount of substance and of other SI units, Accred. Qual. Assur. 16, 161165 (2011) CrossRefGoogle Scholar
CODATA 2010 values available at http://physics.nist.gov/cuu/Constants/index.html
Foster, M., The next 50 years of the SI: a review of the opportunities for the e-Science age, Metrologia 47, R41R51 (2010) CrossRefGoogle Scholar
BIPM, International Vocabulary of Metrology – Basic Metrology – Basic and General Concepts and Associated Terms (VIM), 3rd edn. (BIPM/ISO, Sèvres, 2008). Available at http://www.bipm.org/en/publications/guides/vim
BIPM, Comptes Rendus de la 15e CGPM, Metrologia 11, 179–180 (1975), http://www. bipm.org/en/CGPM/db/15/2/
Markowitz, W., Glenn Hall, R., Essen, L., Parry, J.V.L., Frequency of cesium in terms of ephemeris time, Phys. Rev. Lett. 1, 105107 (1958) CrossRefGoogle Scholar
Mills, I.M., Closing comments, Chem. Int. 32, 1011 (2010) Google Scholar
Commission IUPAC I-1 (E. Richard Cohen, Tomislav Cvitas, Jeremy G. Frey, Bertil Holmström, Kozo Kuchitsum Roberto Marquardt, Ian Mills, Franco Pavese, Martin Quack, Jürgen Stohner, Herbert L. Strauss, Michio Takami, Anders J. Thor), Quantities, Units and Symbols in Physical Chemistry, 3th edn. (Monograph, RSC, London, 2009)