Accession Number:

AD0781383

Title:

On the Axiomatic Foundations of Dimensional Analysis,

Descriptive Note:

Corporate Author:

NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Personal Author(s):

• Gawain,Theodore H.

Report Date:

1974-05-01

Pagination or Media Count:

39.0

Abstract:

The paper reformulates the basic axioms of dimensional analysis so as to clear up some deeply entrenched misconceptions relating to the nature of physical dimensions and generalized units. Certain novel relations are thereby discovered which although unorthodox are nevertheless useful and correct. It is shown how various systems of natural units can be constructed so as to embody the same logical structure that characterizes some given system of fixed units. The important fact is brought out that every physical equation which is valid in some given system of units remains valid if all quantities be converted into any other system which embodies the same logical structure. Modified author abstract

Descriptors:

• *Measurement
• *Computations
• Inertia
• Gravity
• Energy
• Calorimeters

Subject Categories:

• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE