Abstract
A fortran program has been developed for the IBM 1620 computer in order to calculate Buckingham or B-numbers, dimensionless products of variables, from the laws of physics. For a given set of physical quantities, the corresponding set of B-numbers is invariant under changes of the reference set of dimensions, such as length, mass, time, charge, and temperature. Complete and nonredundant sets of B-numbers are obtained for 35 formulas from a representative branch of physics (solid-state). A systematic procedure is established for coding and cataloguing these formulas in terms of B-numbers. It is anticipated that decoding techniques can be applied to this catalogue to yield information on the interrelationships among and redundancy in the laws governing physical phenomena.
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