Adjective
Without dimensions; having no appreciable or noteworthy extent.
Source: Webster's dictionaryAlthough polar and spherical coordinates use radians to describe coordinates in two and three dimensions, the unit is derived from the radius coordinate, so the angle measure is still dimensionless. Source: Internet
Angles are, by convention, considered to be dimensionless variables, and so the use of angles as physical variables in dimensional analysis can give less meaningful results. Source: Internet
A simple problem illustrates how a proportion may be a dimensionless quantity. Source: Internet
As the Mach number is a dimensionless quantity rather than a unit of measure, with Mach, the number comes after the unit; the second Mach number is "Mach 2" instead of "2 Mach" (or Machs). Source: Internet
Building on Rayleigh's method of dimensional analysis, Edgar Buckingham proved the π theorem (independent of French mathematician Joseph Bertrand 's previous work) to formalize the nature of dimensionless quantities. Source: Internet
But, in natural convection the Grashof number is the dimensionless parameter that governs the fluid flow. Source: Internet