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Pages: < 1 � 3245 3246 3247 3248 3249 … 3572 >

[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]

Moose -- Fire_Kame

Fire_Kame shouted: demon's professor could probably lend a hand :awesome:

dem0'n wat now

[2014-11-19. : 11:56 am]

Moose -- And both of those = card( (0,1) ) anyway, lel

[2014-11-19. : 11:55 am]

Moose -- 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.

[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. : 4:39 am]

jjf28 -- https://proofwiki.org/wiki/Integers_are_Countably_Infinite

[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. : 4:33 am]

jjf28 -- http://en.wikipedia.org/wiki/Countable_set

[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

[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

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]

Moose -- 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

[2014-11-19. : 4:05 am]

Moose -- Dem0n wants to write a birektion

[2014-11-19. : 4:05 am]

Moose -- 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

[2014-11-19. : 4:03 am]

Moose -- 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]

Moose -- 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]

Moose -- And you're done

[2014-11-19. : 3:17 am]

Moose -- Cartesian product multiplies the cardinalities

[2014-11-19. : 3:17 am]

Dem0n -- idk

[2014-11-19. : 3:17 am]

Moose -- So what's the problem?

[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]

Moose -- 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]

Moose -- Do you even aleph number?

[2014-11-19. : 3:11 am]

Dem0n -- How do you know? I don't know how to quantify that

[2014-11-19. : 3:10 am]

Moose -- Z x R

[2014-11-19. : 3:10 am]

Dem0n -- Which has a larger cardinality, Z² or (Z x R)? lel

[2014-11-19. : 3:08 am]

Moose -- The number of elements in a set, basically.

[2014-11-19. : 3:07 am]

Dem0n -- wtf is cardinality

[2014-11-19. : 2:30 am]

Roy -- http://i.imgur.com/FyNDOKT.png

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