Clinching
Posted by Beeeej
Clinching
Posted by: Beeeej (---.udar.columbia.edu)
Date: February 18, 2002 01:30PM
So, is it my imagination, or is there mathematically no way for us to finish lower then 3rd place? Someone like Greg, John, or Robb who's much more adept at such theoretical mathematics can hopefully demonstrate what's at work here.
Beeeej
Beeeej
___________________________
Beeeej, Esq.
"Cornell isn't an organization. It's a loose affiliation of independent fiefdoms united by a common hockey team."
- Steve Worona
Beeeej, Esq.
"Cornell isn't an organization. It's a loose affiliation of independent fiefdoms united by a common hockey team."
- Steve Worona
Re: Clinching
Posted by: Josh '99 (207.10.33.---)
Date: February 18, 2002 01:39PM
I THINK I can handle this one...
Harvard can win out and tie us in points, and I guess depending on tiebreakers can finish ahead of us.
Clarkson needs 8 points to tie us; Dartmouth needs 7. However, they play each other to close out the season, so it's impossible for both of those to happen.
Therefore, only Harvard and either Dartmouth OR Clarkson can catch us, so even if we lose all the tiebreakers, we still can't finish lower then 3rd.
Now, by speaking of finishing third, are you anti-woofing, Beeeej?
Harvard can win out and tie us in points, and I guess depending on tiebreakers can finish ahead of us.
Clarkson needs 8 points to tie us; Dartmouth needs 7. However, they play each other to close out the season, so it's impossible for both of those to happen.
Therefore, only Harvard and either Dartmouth OR Clarkson can catch us, so even if we lose all the tiebreakers, we still can't finish lower then 3rd.
Now, by speaking of finishing third, are you anti-woofing, Beeeej?
Re: Clinching
Posted by: Greg Berge (---.metro1.com)
Date: February 18, 2002 01:39PM
You're right, Beeeej.
Current standings:
29 Cornell
22 Dartmouth
21 Harvard
21 Clarkson
Everybody has 8 points (4 games) remaining. Worst case is obviously that Cornell gets 0, Harvard gets 8. Clarkson plays Dartmouth, so both cannot get 8. If Clarkson wins, then Dartmouth can get at most 28 points. If the game is a tie, then Clarkson can get at most 28 points.
Therefore, we have clinched 3rd place.
I posted 1 second after Josh -- his post says the same thing (and uses fewer words).
Current standings:
29 Cornell
22 Dartmouth
21 Harvard
21 Clarkson
Everybody has 8 points (4 games) remaining. Worst case is obviously that Cornell gets 0, Harvard gets 8. Clarkson plays Dartmouth, so both cannot get 8. If Clarkson wins, then Dartmouth can get at most 28 points. If the game is a tie, then Clarkson can get at most 28 points.
Therefore, we have clinched 3rd place.
I posted 1 second after Josh -- his post says the same thing (and uses fewer words).
Re: Clinching
Posted by: Beeeej (---.udar.columbia.edu)
Date: February 18, 2002 01:45PM
Thanks very kindly for the explanation, gents.
I am indeed anti-woofing, but the question occurred to me more because I was pondering Placid. Not to get all ahead of myself or anything, but we've just guaranteed ourselves (one way or another, natch) that we won't be in the Thursday night play-in game.
Beeeej
I am indeed anti-woofing, but the question occurred to me more because I was pondering Placid. Not to get all ahead of myself or anything, but we've just guaranteed ourselves (one way or another, natch) that we won't be in the Thursday night play-in game.
Beeeej
Re: Clinching
Posted by: Greg Berge (---.metro1.com)
Date: February 18, 2002 01:46PM
Yes, we will not be in the PIG. So to speak.
Re: Clinching
Posted by: Robb (---.245.225.39.dial1.dallas1.level3.net)
Date: February 19, 2002 11:13PM
I've been working on for determining possibilities (including taking tiebreakers into account - bleah). Unfortunately, I started working on it from the optimistic point of view ("what's the best a certain team can finish", and planned to adapt it later for finding the worst a team could do. Haven't gotten that far yet.... My algorithm tells me that the best we can finish is first! Whoo-hoo! Not bad for 30-40 hours work, eh?
Re: Clinching
Posted by: DeltaOne81 (---.resnet.cornell.edu)
Date: February 19, 2002 11:21PM
LOL
Now, if you wouldn't mind working a bit more for us, Robb, I'm sure we'd all be interested in the burning question on everyone's mind... what's the worst UVM can do? ( I don't know what Yark is, this would just be my second post in a row w/o smileys, so I had to pick one - ah, much beetter)
Now, if you wouldn't mind working a bit more for us, Robb, I'm sure we'd all be interested in the burning question on everyone's mind... what's the worst UVM can do? ( I don't know what Yark is, this would just be my second post in a row w/o smileys, so I had to pick one - ah, much beetter)
Re: Clinching
Posted by: jtwcornell91 (---.utb.edu)
Date: February 20, 2002 01:04AM
I have a range of possible finishes that another ECAC watcher worked out if you want to compare your results (email me). UVM can finish anywhere from 9th to 12th.
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