"You've got so many different things all mixed in your last post it would be way too cumbersome to address them all. So I'll just stick to one."
Translation -- You've got me over a barrel, so I will just ignore the facts I can't think of a way to refute.
"Running faster requires more power, DUH".
"Thank you for confirming this point."
That was never a debate.
"You have also previously pointed out that improved running economy means the runner is now running faster without using more oxygen/energy. "
Duh.
"Combining those 2 things you've told us tells us that the increased pace means power has increased but energy usage has stayed the same. "
No, no, NO. Power in the horizontal direction has increased. Energy usage in the horizontal direction has stayed the same (assuming no change in efficiency, which is in the real world not likely) because P = W/T and T is smaller at an increased pace. When you say "energy" you really mean "total energy" but when you say "power", you only consider "power applied in the horizontal direction". Because I have you over an unrefutable barrel on your lack of understanding this simply concept central to the argument here, you simply ignored this part of my post.
"But you also said, "The laws of physics dictate that you can't magically create greater power without consuming more energy per unit time.", which appears to be at odds with what what you said above." "
This was addressed in my previous post and is completely consisent if you are intelligent enough to understand total power output vs power output in a specified direction.
"Man, physics is hard. Glad I studied physiology instead."
Physics is part of physiology, as is statistics. Too bad you apparently didn't study any of it too hard.
While you're at it, address my last question that you dodged. Also address the fact that power output is NOT increasing overall, only in the desired direction and, as far as efficiency and economy (the topic, by the way) is concerned, is wholly explained by transfer of power wasted in non-horizontal movement into horizontal movement.
http://This message has been edited by AndyHass (edited Dec-01-2007).