Article2015

The term ‘dimension’ in the international system of units

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Scientific Measurement and Uncertainty Evaluation Advanced Measurement and Metrology Techniques Advanced Mathematical Theories and Applications

Abstract

Abstract The term ‘dimension’ as used in the International System of Units (SI) is not well defined. Moreover, the term ‘quantity of dimension one’ (formerly called ‘dimensionless quantity’, a term which is unfortunately still sometimes used) as defined in the International Vocabulary of Metrology (VIM) is mathematically unsound. In order to overcome these difficulties, a new quantity dimension, called ‘dimension number’, will be introduced in this paper. It will be shown that such a dimension necessarily belongs to any system of dimensions , but is not a base dimension.

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References

1995On the History of Quantity Calculus and the International System 1985THE INTERNATIONAL SYSTEM OF UNITS 2006A.1 International System of Units 2009An Ontology on Property for Physical, Chemical, and Biological Systems 2008On quantity calculus and units of measurement 1998The use and abuse of the terms percent, parts per million and parts in 10n

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