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[2014-11-19. : 6:38 pm]
jjf28 -- damn i got a rekt'd box
[2014-11-19. : 6:32 pm]
lil-Inferno -- no
[2014-11-19. : 6:08 pm]
Fire_Kame -- who's ready to wipe away their male privelege? All it takes is to be brave enough to stand up for woman rights by buying me warlords of draenor!
[2014-11-19. : 5:55 pm]
jjf28 -- come to the rekt box, if you dare
[2014-11-19. : 5:54 pm]
jjf28 -- :lol:
[2014-11-19. : 5:47 pm]
MasterJohnny -- but I think he was senile so it was ok from a medical standpoint
[2014-11-19. : 5:45 pm]
MasterJohnny -- I once had a professor who couldn't do the hw he assigned
[2014-11-19. : 5:12 pm]
Fire_Kame -- Mini Moose 2707
Mini Moose 2707 shouted: Fire_Kame dem0'n wat now
demon is bringing his homework in here. so it would follow that the person that assigned the homework should be able in some way to assist him
[2014-11-19. : 5:11 pm]
Fire_Kame -- whoever renamed the sbox is my new hero
[2014-11-19. : 12:07 pm]
Mini Moose 2707 -- Fire_Kame
Fire_Kame shouted: demon's professor could probably lend a hand :awesome:
dem0'n wat now
[2014-11-19. : 11:56 am]
Mini Moose 2707 -- And both of those = card( (0,1) ) anyway, lel
[2014-11-19. : 11:55 am]
Mini Moose 2707 -- MasterJohnny
MasterJohnny shouted: Mini Moose 2707 I don't think this is true if we are dealing with infinite sets
This is true, I stand corrected for infinite sets. card(R) = card(Rn) for n < inf
[2014-11-19. : 6:25 am]
Fire_Kame -- demon's professor could probably lend a hand :awesome:
[2014-11-19. : 6:24 am]
MasterJohnny -- well technically we have made like no progress to Dem0n's problem...
[2014-11-19. : 6:17 am]
NudeRaider -- Stop having intelligent discussions in the shoutbox, I'm starting to feel dumb whenever I visit SEN. :P
[2014-11-19. : 4:59 am]
jjf28 -- Dem0n
Dem0n shouted: Does each element in set A have to map to the same positioned element in set B? Or can I cross-map stuff?
may as well, it would be very hard for you to show that you're covering all elements otherwise
[2014-11-19. : 4:59 am]
MasterJohnny -- what does cross map mean?
[2014-11-19. : 4:58 am]
Dem0n -- If I can cross-map it, I have no idea how to figure out which elements are mapped together
[2014-11-19. : 4:58 am]
jjf28 -- well, k^2 where k ∈ N ne ways
[2014-11-19. : 4:58 am]
Dem0n -- Does each element in set A have to map to the same positioned element in set B? Or can I cross-map stuff?
[2014-11-19. : 4:58 am]
MasterJohnny -- then A is just like a shift of natural numbers
[2014-11-19. : 4:58 am]
MasterJohnny -- I think B is the same thing as the natural numbers
[2014-11-19. : 4:57 am]
MasterJohnny -- i wonder if you're allowed to change B a little
[2014-11-19. : 4:55 am]
jjf28 -- write out some elements from each set, find a formula that relates them... will show that every a maps to a b
[2014-11-19. : 4:46 am]
Dem0n -- do algebra on wat
[2014-11-19. : 4:46 am]
MasterJohnny -- i have no idea how to create the bijective function lol
[2014-11-19. : 4:45 am]
jjf28 -- non infinite sets? do ur simple algebras demin
[2014-11-19. : 4:44 am]
Dem0n -- Form a bijection to prove that A = { 2k - 3 | k >= 0 ∈ Z } and B = { k2 | k ∈ Z } are equal.
[2014-11-19. : 4:40 am]
MasterJohnny -- what was the problem?
[2014-11-19. : 4:39 am]
Dem0n -- well fuck lul
[2014-11-19. : 4:39 am]
MasterJohnny -- yeah so...
[2014-11-19. : 4:38 am]
MasterJohnny -- unless the book tells you somewhere
[2014-11-19. : 4:38 am]
MasterJohnny -- you have to be creative and make your own bijective function
[2014-11-19. : 4:36 am]
jjf28 -- delete facebook, lawyer up, and hit the gym
[2014-11-19. : 4:34 am]
Dem0n -- How do I know which elements in sets A and B should be mapped together?
[2014-11-19. : 4:33 am]
MasterJohnny -- but if they are countable they have cardinaility less than or equal to the natural numbers...
[2014-11-19. : 4:32 am]
jjf28 -- so long as the sets are countable*
[2014-11-19. : 4:32 am]
MasterJohnny -- wut?
[2014-11-19. : 4:31 am]
jjf28 -- so long as the set is countable they can have different infinite cardinatilities IIRC
[2014-11-19. : 4:22 am]
jjf28 -- that R and RxR are unequal... assuming I remember a thing about set operations :P
[2014-11-19. : 4:20 am]
Fire_Kame -- Mini Moose 2707
Mini Moose 2707 shouted: Delete facebook, lawyer up, hit the gym
sound advice
[2014-11-19. : 4:20 am]
Fire_Kame -- mt
[2014-11-19. : 4:20 am]
Fire_Kame -- jjf28
jjf28 shouted: hey now, I wanted to use that when he asked a follow up :P
sound advice
[2014-11-19. : 4:20 am]
MasterJohnny -- jjf28
jjf28 shouted: {1, 2, 3} != {1, 2, 3, {1, 2}, {1, 3}, {2, 3}}
whats this suppose to teach me
[2014-11-19. : 4:19 am]
jjf28 -- {1, 2, 3} != {1, 2, 3, {1, 2}, {1, 3}, {2, 3}}
[2014-11-19. : 4:17 am]
MasterJohnny -- like R and RxR have the same cardinalities i think
[2014-11-19. : 4:17 am]
MasterJohnny -- Mini Moose 2707
Mini Moose 2707 shouted: Cartesian product multiplies the cardinalities
I don't think this is true if we are dealing with infinite sets
[2014-11-19. : 4:10 am]
Mini Moose 2707 -- He does fear them. He's so scared he doesn't go. -_-
[2014-11-19. : 4:09 am]
jjf28 -- learn to phear your theory class dem0n, or it will kick ur ass :D
[2014-11-19. : 4:05 am]
Mini Moose 2707 -- Dem0n wants to write a birektion
[2014-11-19. : 4:05 am]
Mini Moose 2707 -- Also, you meant inrektion and surektion :moose:
[2014-11-19. : 4:03 am]
jjf28 -- hey now, I wanted to use that when he asked a follow up :P
[2014-11-19. : 4:03 am]
Mini Moose 2707 -- Delete facebook, lawyer up, hit the gym
[2014-11-19. : 4:02 am]
jjf28 -- sure, show injection and surjection
[2014-11-19. : 4:01 am]
Dem0n -- Anyone know how to write a bijection between two sets to prove they're equal? D:
[2014-11-19. : 4:00 am]
Mini Moose 2707 -- December 26th
[2014-11-19. : 3:59 am]
jjf28 -- May
[2014-11-19. : 3:58 am]
Fire_Kame -- when is it too early to start playing Christmas music
[2014-11-19. : 3:27 am]
Dem0n -- how the fuck yo
[2014-11-19. : 3:27 am]
Dem0n -- ∏i=1 -> ∞, 2(1/2i)
[2014-11-19. : 3:17 am]
Mini Moose 2707 -- And you're done
[2014-11-19. : 3:17 am]
Mini Moose 2707 -- Cartesian product multiplies the cardinalities
[2014-11-19. : 3:17 am]
Dem0n -- idk
[2014-11-19. : 3:17 am]
Mini Moose 2707 -- So what's the problem? :P
[2014-11-19. : 3:16 am]
Dem0n -- I understand why R is larger than Z. It includes all the real numbers, whereas Z only includes integers.
[2014-11-19. : 3:15 am]
Mini Moose 2707 -- Well, work on why R has a larger cardinality than Z, worry about the cartesian products later
[2014-11-19. : 3:13 am]
Dem0n -- no
[2014-11-19. : 3:13 am]
Mini Moose 2707 -- Do you even aleph number?

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