thanks!! On Mon, Aug 13, 2012 at 9:09 AM, Gil Skillman <[email protected]> wrote: > >>suppose we have a function Q = K^a*L*^(1-a). Is it possible for K and >>L to be measured in different units? different units from Q? (if, for >>example, K is measured in "leets" and L is measured in hours, what are >>the units of Q?) > > Sure. The function maps values from the K and L dimensions, measured in > their respective units whatever they happen to be, into values in the Q > dimension, measured in its units, whatever they happen to be. Let's say Q > is measured in tons of steel. Divide both sides of the function by L (for > example), and the dependent variable is then measured in tons of steel per > unit of labor input. The dimensions have to be mutually consistent across > the variables in an equation only if the equation is expressing a > relationship within a given dimension, e.g. Q = (Q/L)*L. To take another > example, if I say that global mean temperature is a function of tons of > fossil fuel consumption and acres of forest, nothing compels me to > understand global mean temperature in some composite of fuel tons and > forest acres. > > Fwiw, > Gil > > > > > > >>-- >>Jim Devine / If you're going to support the lesser of two evils, you >>should at least know the nature of that evil. >>_______________________________________________ >>pen-l mailing list >>[email protected] >>https://lists.csuchico.edu/mailman/listinfo/pen-l > > _______________________________________________ > pen-l mailing list > [email protected] > https://lists.csuchico.edu/mailman/listinfo/pen-l
-- Jim Devine / If you're going to support the lesser of two evils, you should at least know the nature of that evil. _______________________________________________ pen-l mailing list [email protected] https://lists.csuchico.edu/mailman/listinfo/pen-l
