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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 can be obtained as ratios of quantities that are not dimensionless, but whose dimensions cancel out in the mathematical operation. [19] [20] Examples of quotients of dimension one include calculating slopes or some unit conversion factors.
Dimensionless quantities of chemistry (4 P) Countable quantities (1 C, 4 P) Pages in category "Dimensionless quantities" The following 9 pages are in this category ...
Dimensionless numbers of fluid mechanics (71 P) M. ... Dimensionless quantities (2 C, 9 P) R. Ratios (11 C, 58 P) T. Dimensionless numbers of thermodynamics (21 P) U.
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.
For example, if x is a quantity, then x c is the characteristic unit used to scale it. As an illustrative example, consider a first order differential equation with constant coefficients: + = (). In this equation the independent variable here is t, and the dependent variable is x.
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