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Houard, J.-C.

Sur la description intrinseque des grandeurs dimensionnelles. (French) Zbl 0476.70001

Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 35, 225-252 (1981).
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MSC:

70A05 Axiomatics, foundations
70G45 Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics
00A79 Physics
74Axx Generalities, axiomatics, foundations of continuum mechanics of solids
76A02 Foundations of fluid mechanics

Keywords:

physical dimension; homogeneity; measurement units; invariance; dimensionless equations
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References:

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[5] R. Fleischmann , Z. f. Phys. , t. 129 , 1951 , p. 377 . MR 43055 | Zbl 0042.44402 · Zbl 0042.44402
[6] W. Quade , Abh. Braunschw. Wiss. Ges. , t. 13 , 1961 , p. 24 . Zbl 0161.21301 · Zbl 0161.21301
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[9] J.-M. Lévy-Leblond , Rendiconti S. I. F. , t. 72 , 1979 , p. 237 Zbl 0447.70003 · Zbl 0447.70003
[10] S. Helgason , Differential Geometry and Symmetric Spaces , Academic Press , New York and London , 1962 . MR 145455 | Zbl 0111.18101 · Zbl 0111.18101
[11] E. Durand , Électrostatique et Magnétostatique , Masson , Paris , 1953 . Zbl 0053.15404 · Zbl 0053.15404
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