Recent content by rokopt

I think the inevitable result will be a large group all finishing together.

I'd be happy to see any action during the stage. I just hope no one has to pull out in the middle.

I predict a break will form in Condom, but I don't know who will end up scoring.

You are so right; there is much discouragement of non-consensual touching nowadays. The world needs more heroes like you, who will stand up for the rights of men to touch whomever they want, with or without consent. I try to do my part. For example, the other day on the bus, I was sitting...

Fantastic! I can't wait to hear the results. ;) ("Okay, the lead is now... hang on, I'm still feeding the output of my multivariable future-chase-speed-prediction analysis into the numeric integration to make the gap Lipschitz continuous... the lead is... does anyone have a faster laptop?")

No, that'll never do, because I had another idea. The duality between the functions I called A and D had been bothering me -- considering the derivatives D' = F' - 1 and A' = 1 - P', it is clear that while D cannot suddenly plummet in an instant the way A can, it can, unlike A, suddenly...

Granted, much of the complicated math has, I think, been just for fun. I don't think, however, that anyone (with the possible exception of Bavarianrider) has argued for distance since early in the thread -- certainly not any of the people doing any of the complicated math. All the complicated...

In the situation I was describing, the chasers hadn't started climbing yet. They were on the flat leading up to the climb, and the method-A gap was holding steady. However, the announcers were anticipating (almost certainly correctly) that the (method-A) gap would start falling once the...

Oh, I see what you mean. Yes, you're right. This illustrates that I violated my earlier simplifying assumptions by using the illustration of a crash, where one group's speed drops to zero altogether. If speeds remain non-zero, the two quantities, "How much time it took for the leader to ride...

Correct. I think this would be a perfectly sensible answer to cineteq's question in the post before yours, too. A similar situation is when a breakaway group of non-climbers hits the slopes of a massive final climb with the peloton still on the flat in pursuit. At that point, the announcers...

The quantity you describe is the exact same quantity. ;) "How much time it took for the leader to ride from the peloton's current position to the leader's current position" is just another way of saying "how long it has been since the leader passed the peloton's current position", AKA the...

I won't argue against using it. I will, however, make note that there are cases in which it will differ radically from what I think most people would consider a sensible gap value to be. Probably the most extreme case is the following: imagine the peloton has been pursuing some lone leader...

It is precisely that which Ildabaoth's last post explains the enormous difficulty of. :)

Yes, I would say that most of the thread reached the conclusion long ago that the gap ought to be measured in time. That is not, by and large (there have been exceptions), what has been being considered since then. The question being examined since then is what the value of the gap, in units...

Nice explanation; I learned from that (I think). The bold parts in particular are new and interesting information to me.