antonfire wrote:Right there along with temperature being backwards and Lp spaces being backwards. It's one of those things that's too minor to change but still kind of annoying.
Just so that the dual of Lp would be L1-p (for 0<p<1)? Or is there some other reason why this notation is better?
With regards to temperature, I'll point out that differences in temperature come up a fair bit in physics. One example is the differential equation for an object coming to thermal equilibrium with its environment:
(l is some constant measuring how much thermal contact there is between the object and the environment).
If we make the change of variables B=1/T, these differences get troublesome to deal with. For instance, we get the rather ugly differential equation:
so I think inverting temperatures would cause more difficulties than they solve. Sure, negative temperatures being hotter than any positive temperature is weird, but really, how often does one encounter, in physics, a negative temperature?