An Axiomatic Approach to Dimensions in Physics
作者:
Michael Parkinson,
期刊:
American Journal of Physics
(AIP Available online 1964)
卷期:
Volume 32,
issue 3
页码: 200-205
ISSN:0002-9505
年代: 1964
DOI:10.1119/1.1970173
出版商: American Association of Physics Teachers
数据来源: AIP
摘要:
A set of axioms and a formalism is presented for handling units and dimensions. Using the axioms, one form of the II theorem is proved simply and rigorously; also, two often debated questions are given definitive answers, both in the affirmative: (1) Are transcendental functions of a dimensional quantity legitimate? (2) Are the laws of physics always expressible in a form invariant under transformations of units?
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