It depends on what you mean by "=". On Mon, Aug 13, 2012 at 9:11 AM, Jim Devine <[email protected]> wrote:
> 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 > -- Cheers, Tom Walker (Sandwichman)
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