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

You are not logged in. #1 20060110 14:18:50
ln(x) approximationI came up with this approximation for the ln(x). On the graph, click on it for bigger, the green dots are the above function, while the red dots is the ln(x). igloo myrtilles fourmis #2 20060110 16:25:12
Re: ln(x) approximationIntriguing ... ! "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #3 20060110 19:12:48
Re: ln(x) approximationAn approximation for ln(x)! Funny! Character is who you are when no one is looking. #4 20060111 03:25:30
Re: ln(x) approximationThat's quite an amazing approximation. Even at values of 100000, it's only ~0.0007 off. If you can fit that curve to a known and nonlog function, you've got an exact approximation. However, I believe: Which would just mean that the curve of the difference goes off to infinity. So I'm thinking either a polynomial or exponential. "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..." #5 20060112 03:38:51
Re: ln(x) approximationOkay, now I'll give away how I came up with this. igloo myrtilles fourmis 