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This is a list of well-known dimensionless quantities illustrating their variety of forms and applications. The tables also include pure numbers, dimensionless ratios, or dimensionless physical constants; these topics are discussed in the article.
Dimensionless quantities, or quantities of dimension one, [1] are quantities implicitly defined in a manner that prevents their aggregation into units of measurement. [ 2 ] [ 3 ] Typically expressed as ratios that align with another system, these quantities do not necessitate explicitly defined units .
LNH was Dirac's personal response to a set of large number "coincidences" that had intrigued other theorists of his time. The "coincidences" began with Hermann Weyl (1919), [2] [3] who speculated that the observed radius of the universe, R U, might also be the hypothetical radius of a particle whose rest energy is equal to the gravitational self-energy of the electron:
Parts-per notations are all dimensionless quantities: in mathematical expressions, the units of measurement always cancel. In fractions like "2 nanometers per meter" (2 n m / m = 2 nano = 2×10 −9 = 2 ppb = 2 × 0.000 000 001), so the quotients are pure-number coefficients with positive values less than or equal to 1.
Dimensionless quantities of chemistry (4 P) Countable quantities (1 C, 4 P) Pages in category "Dimensionless quantities" ... Statistics; Cookie statement;
Dimensionless quantities (2 C, 9 P) R. Ratios (11 C, 58 P) T. Dimensionless numbers of thermodynamics (21 P) U. Dimensionless units (1 C, 4 P) ... Statistics; Cookie ...
Dimensionless numbers (or characteristic numbers) have an important role in analyzing the behavior of fluids and their flow as well as in other transport phenomena. [1] They include the Reynolds and the Mach numbers, which describe as ratios the relative magnitude of fluid and physical system characteristics, such as density, viscosity, speed of sound, and flow speed.
Dimensionless quantities, or quantities of dimension one, [2] are quantities implicitly defined in a manner that prevents their aggregation into units of measurement. [ 3 ] [ 4 ] Typically expressed as ratios that align with another system, these quantities do not necessitate explicitly defined units .
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