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04/24/2010 08:05:59 PM · #76 |
Originally posted by bvy:
I will leave it as an exercise to the reader to prove the converse. If no takers, I'll follow up later. |
Last chance... |
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04/24/2010 08:06:45 PM · #77 |
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04/24/2010 08:09:47 PM · #78 |
Originally posted by Art Roflmao:
I forgot the question... |
Your mission, should you decide to accept it, is to prove that if a tournament contains no cycles, then it must be transitive.
Remember, a tournament is just a complete digraph. So for any two vertices (or nodes) u and v, exactly one of (u, v) or (v, u) is part of the set of directed edges.
Stated casually, of course. |
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04/24/2010 10:39:00 PM · #79 |
| My cats breath smells like cat food........ |
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04/24/2010 11:28:54 PM · #80 |
| but does it smell better than its other end? |
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04/25/2010 01:02:06 AM · #81 |
| all cat food smells like that ...in the end |
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04/25/2010 01:41:41 AM · #82 |
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04/25/2010 03:50:17 AM · #83 |
| They told me there would be no math in this thread. :/ |
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04/25/2010 06:44:10 AM · #84 |
Epic Fail!
BTW,  JimiRose, you are *so* on my list for bringing up The Game
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04/25/2010 09:36:22 AM · #85 |
| I'm usually a thread killer... |
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04/25/2010 11:12:09 AM · #86 |
| I know what the SC did last summer.. |
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04/25/2010 11:39:12 AM · #87 |
Originally posted by NikonJeb:
Epic Fail!
BTW, JimiRose, you are *so* on my list for bringing up The Game |
I was doing juuuust fine.
you just HAD to mention the game again, didn't you?!!!!????!?!?!?
Now I have to start all over again......
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04/25/2010 11:43:21 AM · #88 |
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04/25/2010 12:00:00 PM · #89 |
| Say, does anybody know where my furniture polish is? |
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04/25/2010 12:09:18 PM · #90 |
| Check the last place you left it. |
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04/25/2010 12:09:52 PM · #91 |
| ...wait - I found it! Thread can be locked now... |
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04/25/2010 12:20:01 PM · #92 |
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04/25/2010 12:21:51 PM · #93 |
| DOn't lock it yet. I still have to prove the converse... |
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04/25/2010 12:46:15 PM · #94 |
| Which is better, Canon or Nikon? |
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04/25/2010 01:02:03 PM · #95 |
| Neither. Frogs take better pictures. |
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04/25/2010 04:44:44 PM · #96 |
Originally posted by jbsmithana:
Which is better, Canon or Nikon? |
dont get everyone started! ahahaaa |
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04/25/2010 04:46:05 PM · #97 |
Originally posted by jbsmithana:
Which is better, Canon or Nikon? |
Ford!...no wait, GM? |
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04/25/2010 05:14:49 PM · #98 |
| ....? .......oh - sorry, wrong number. |
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04/25/2010 05:16:49 PM · #99 |
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? |
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04/25/2010 05:17:51 PM · #100 |
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