In the Talk page of Wikipedia Coefficient I read this comment:
As far as I can tell, the mathematical definition should imply that coefficients are unitless, however, the physical sciences have been using "coefficient" for factors that include dimensions for a long time, where "constant" or "factor" would be a more informative term.
In the same page, examples of "physical coefficients" have both dimensionless and dimensionful coefficients. I am trying to understand the difference of how "coefficient" is used in mathematics and physics.
Thanks.