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[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. : 5:47 pm] MasterJohnny -- but I think he was senile so it was ok from a medical standpoint[2014-11-19. : 5:12 pm] Fire_Kame -- Mini Moose 2707Mini 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. : 12:07 pm] Mini Moose 2707 -- Fire_KameFire_Kame shouted: demon's professor could probably lend a hand dem0'n wat now[2014-11-19. : 11:55 am] Mini Moose 2707 -- MasterJohnnyMasterJohnny 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(R^{n}) for n < inf[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. [2014-11-19. : 4:59 am] jjf28 -- Dem0nDem0n 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. : 4:58 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] 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. : 4:55 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. : 4:44 am] Dem0n -- Form a bijection to prove that A = { 2k - 3 | k >= 0 ∈ Z } and B = { k^{2} | k ∈ Z } are equal.[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. : 4:31 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 [2014-11-19. : 4:20 am] Fire_Kame -- Mini Moose 2707Mini Moose 2707 shouted: Delete facebook, lawyer up, hit the gym sound advice[2014-11-19. : 4:20 am] Fire_Kame -- jjf28jjf28 shouted: hey now, I wanted to use that when he asked a follow up sound advice[2014-11-19. : 4:20 am] MasterJohnny -- jjf28jjf28 shouted: {1, 2, 3} != {1, 2, 3, {1, 2}, {1, 3}, {2, 3}} whats this suppose to teach me[2014-11-19. : 4:17 am] MasterJohnny -- Mini Moose 2707Mini 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. : 4:01 am] Dem0n -- Anyone know how to write a bijection between two sets to prove they're equal? D:[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 |

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