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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 .
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.
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 .
Angles are, by convention, considered to be dimensionless quantities (although the wisdom of this is contested [53]) . As an example, consider again the projectile problem in which a point mass is launched from the origin (x, y) = (0, 0) at a speed v and angle θ above the x-axis, with the force of gravity directed along the negative y-axis.
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 ...
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