## #math - Fri 20 Apr 2007 between 00:01 and 00:47

### NY Lost Funds

 fellacious loleverybody has internet but youaw mann when i got my sell fone i thought that ever1 but me had a sell fonebuttit turned out that i didnt even need a sell fone and i never actually use itwell. i really got it to talk to this one girl... and then she dyde like two mos. later, solol useless arnnn whaleofconfusion, what is the first thing that I need to do to solve that kind of problem ?whaleofconfusion, when do I need to use arrow..? rook2pawn how do i get the following 3 lines where the 2nd is centered in LateX? i.e. "Reg\\CenteredStuff\\Reg"? KRUSHGROOVE Hey Kaskadad Kasadkad ? KRUSHGROOVE Yeah I was just wondering something.My book says that you can use induction on the natural numbers, but the index of the sum started at zero.I'm just wondering how its valid if this is true. Kasadkad Well, you need an inductive setThat is, one in which if x is in the set, then the successor of x is in the set KRUSHGROOVE Ah right. I forgot about that definition. Kasadkad Hmm KRUSHGROOVE The natural numbers are the smallest inductive set, correct? whaleofconfusion what do you mean by INDUCIVE? Kasadkad I take back what I said whaleofconfusion INDUCTIVE? chuck__ what's the formula to find the volume of a square pyramid? whaleofconfusion how about Z2 where successor of x is (x+1)mod2 KRUSHGROOVE A set is inductive if x \in X => x+1 \in X. TRWBW chuck__: you mean a square base? whaleofconfusion Z2 = INDUCTIVE by that TRWBW chuck__: all cones and pyramids follow the rule (1/3)*(area of base)*(height), where height is the length of the perpendicular from the apex to the plane of the base chuck__ TRyea Kasadkad KRUSHGROOVE: You also need to have 0 in the set chuck__ *TRWBW: yea whaleofconfusion Z2Z2Z2Z2Z2Z2Z2Z2Z2Z2Z2 KRUSHGROOVE Kasadkad for it to be inductive? or? chuck__ so the length of the square base is 15 ft so it's (1/3)*225*20 (20 is the height) TRWBW chuck__: yes, like that. Kasadkad Eh, let's just forget the inductive set stuff, I'm not exactly sure what it isThe point is that it doesn't matter where you start the inductionIf you're picky you can just translate the induction KRUSHGROOVE So I could induct from -5?