The Klein 4 Group
[table]
[tr][td]*|[/td][td]1[/td][td]x[/td][td]y[/td][td]z[/td][/tr]
[tr][td]1|[/td][td]1[/td][td]x[/td][td]y[/td][td]z[/td][/tr]
[tr][td]x|[/td][td]x[/td][td]1[/td][td]z[/td][td]y[/td][/tr]
[tr][td]y|[/td][td]y[/td][td]z[/td][td]1[/td][td]x[/td][/tr]
[tr][td]z|[/td][td]z[/td][td]y[/td][td]x[/td][td]1[/td][/tr]
[/table]
What is this supposed to be?
[quote author=klein4 link=topic=2430.msg27977#msg27977 date=1265057097]
The Klein 4 Group
[table]
[tr][td]*|[/td][td]1[/td][td]x[/td][td]y[/td][td]z[/td][/tr]
[tr][td]1|[/td][td]1[/td][td]x[/td][td]y[/td][td]z[/td][/tr]
[tr][td]x|[/td][td]x[/td][td]1[/td][td]z[/td][td]y[/td][/tr]
[tr][td]y|[/td][td]y[/td][td]z[/td][td]1[/td][td]x[/td][/tr]
[tr][td]z|[/td][td]z[/td][td]y[/td][td]x[/td][td]1[/td][/tr]
[/table]
[/quote][quote author=FTL_Ian link=topic=2430.msg27985#msg27985 date=1265057590]
What is this supposed to be?
[/quote]
Not sure, looks like a multiplication table with 3 variables. If that is the case then X=Y=Z=1 is the only solution which works for all variables, which makes this seem… Odd
Clearly the robotic uprising has begun! :duh:
Apparently judging by his previous posts, it's Mike Segal from Concord. Curious intro post, Mike.
If someone new were to post this as their intro, I don't think it would be acceptable.
Ah, forgot about that previous post. I just wanted to get my post count >0 (to avoid deletion) without identifying myself, but I guess that cat's already left the bag.
In any case, it's the Cayley table for the Klein 4-group, so it is a multiplication table of sorts, as Triffith guessed. But x,y,z are not variables to be solved for. For those interested: http://en.wikipedia.org/wiki/Group_(mathematics)
Well, might as well: I'm Mike from Concord/Manchester. I've been in NH since August, but have been lurking these forums for a couple of years. I enjoy coding, civil disobedience, Free Talk Live, and jello. See y'all around!
Welcome to the forum, Mike.
Welcome Mike!