Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #26 20060124 20:20:44
Re: Find two numbers from a single numberOK, pigeonhole says "if there are more pigeons than holes, then some holes contain more than one pigeon" "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #28 20060125 01:52:04
Re: Find two numbers from a single numberDon't I get to sleep at all? "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #30 20060125 04:05:36
Re: Find two numbers from a single numberI completely understand what you are saying. But each element of A is two elements. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #31 20060125 04:33:20
Re: Find two numbers from a single number
#32 20060125 05:14:26
Re: Find two numbers from a single number
OHHHHHHHH..hurreehhhh I got it....................... #33 20060125 11:10:42
Re: Find two numbers from a single number
Nope. Never. Not tomorrow, not in a million years. Through the pigeon hole principle, we have shown that such a thing is impossible. And unlike the matrix, there are no bending the rules in math, even in matrix math.
I'm a sophomore in college at Virginia Tech. Right now, I'm a double math and computer science major. The two complement each other nicely. I use math in programming for things like modeling physical systems, and I use programming to solve some complex things in math. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #34 20060126 07:44:11
Re: Find two numbers from a single numberWow! What an indepth explanation for a gutfeel type solution. Here I go thinking like this: 