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04/25/2010 05:56:12 PM · #101 |
| First one to post after me owes me a life-time DPC membership. |
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04/25/2010 06:05:02 PM · #102 |
Yeah? Just try and make me!
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04/25/2010 06:37:28 PM · #103 |
Originally posted by bvy:
Originally posted by bvy:
Don't lock it yet. I still have to prove the converse... |
Before I begin, I'm proposing that we advance the terminology and notation a little bit. Instead of referring to u > v as a directed edge of T, I would like to refer to (u, v) as an arc of T.
Any objections? |
Since there seems to be sufficient interest...
Suppose T is a tournament that contains no cycles, and chose arcs (u, v) and (v, w) from T. Obviously (w, u) cannot be an arc of T, as that would be a cycle and hence a contradiction. Therefore, (u, w) is an arc of T, and T is transitive.
This completes the proof. |
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04/25/2010 06:48:21 PM · #104 |
yeah  |
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04/25/2010 08:13:08 PM · #105 |
| OK,Mac or PC, which is better. |
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04/25/2010 08:29:31 PM · #106 |
Originally posted by jbsmithana:
OK,Mac or PC, which is better. |
I have never owned a "Which" so I will have to go with the PC.
Ray |
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04/25/2010 08:37:26 PM · #107 |
Originally posted by jbsmithana:
OK,Mac or PC, which is better. |
Nikon or Canon of course |
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04/25/2010 08:44:14 PM · #108 |
Originally posted by bvy:
Originally posted by bvy:
Originally posted by bvy:
Don't lock it yet. I still have to prove the converse... |
Before I begin, I'm proposing that we advance the terminology and notation a little bit. Instead of referring to u > v as a directed edge of T, I would like to refer to (u, v) as an arc of T.
Any objections? |
Since there seems to be sufficient interest...
Suppose T is a tournament that contains no cycles, and chose arcs (u, v) and (v, w) from T. Obviously (w, u) cannot be an arc of T, as that would be a cycle and hence a contradiction. Therefore, (u, w) is an arc of T, and T is transitive.
This completes the proof. |
Shall we do another? |
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04/25/2010 09:15:06 PM · #109 |
| and you're not going to win anything now... |
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04/25/2010 11:22:19 PM · #110 |
| this thread violates the TOU (terms of usefulness). I recommend that it be vacated. |
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04/25/2010 11:28:24 PM · #111 |
Originally posted by Art Roflmao:
this thread violates the TOU (terms of usefulness). I recommend that it be vacated. |
...and then? |
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04/25/2010 11:29:08 PM · #112 |
Originally posted by Citadel:
Originally posted by Art Roflmao:
this thread violates the TOU (terms of usefulness). I recommend that it be vacated. |
...and then? |
and then we all leave quietly and nobody gets hurt. |
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04/25/2010 11:34:17 PM · #113 |
Originally posted by Art Roflmao:
Originally posted by Citadel:
Originally posted by Art Roflmao:
this thread violates the TOU (terms of usefulness). I recommend that it be vacated. |
...and then? |
and then we all leave quietly and nobody gets hurt. |
...and then?
;) |
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04/26/2010 03:25:19 AM · #114 |
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04/26/2010 09:56:05 AM · #115 |
By posting anything after this you agree to all of the following:
a) David Hasselhoff should be the the next President of the Unites States;
b) Langdon should drop the forums from DPC. Pictures only from now on (with exception of the banning thread); and
c) One night with George Michael (doesn't matter if you're a girl or gay guy). |
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04/26/2010 11:37:58 AM · #116 |
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04/26/2010 11:56:32 AM · #117 |
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04/26/2010 12:13:07 PM · #118 |
Originally posted by Art Roflmao:
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Art....what the hell....i love how crazy you are...wish you where my dad! LOOL |
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04/26/2010 01:36:45 PM · #119 |
Originally posted by hojop25:
Art....what the hell....i love how crazy you are...wish you where my dad! LOOL |
Why? - do you hate your mom? ;-) |
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04/26/2010 01:47:39 PM · #120 |
Originally posted by hojop25:
Art....what the hell....i love how crazy you are...wish you where my dad! LOOL |
Josh - you need to up your medication ! ;-)
....anyway...time to bury this thread!
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04/26/2010 01:49:17 PM · #121 |
I'm Baaaaack!
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04/26/2010 01:57:40 PM · #122 |
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04/26/2010 01:59:11 PM · #123 |
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04/26/2010 02:00:51 PM · #124 |
| Break a woodie... err... woody |
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04/26/2010 02:09:59 PM · #125 |
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