| fellacious | lol everybody has internet but you aw mann when i got my sell fone i thought that ever1 but me had a sell fone butt it turned out that i didnt even need a sell fone and i never actually use it well. i really got it to talk to this one girl... and then she dyde like two mos. later, so lol 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 set That 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 is The point is that it doesn't matter where you start the induction If you're picky you can just translate the induction |
| KRUSHGROOVE | So I could induct from -5? |