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

You are not logged in.

## #1 2005-09-12 17:59:49

ganesh
Moderator

Offline

### I discovered......

I discovered this morning there is a cool website on the net that gives you a lot of information on interesting properties of numbers. There's a lot you can learn, like......
Omega constant is 0.567143290409783872999968662210355549753815787.........
which satisfies each of these simple equations (all equivalent):

e^x = 1/x                               x = ln(1/x) = - ln(x)
e^-x = x                                              -x = ln(x)
x*e^x = 1                                        ln(x) = 0
x^1/x = 1/e                                   x/ln(x) = -1
x^-1/x = (1/x)^(1/x) = e ^( ln(x)/-x) = 1

Character is who you are when no one is looking.

## #2 2005-09-13 10:39:14

kylekatarn
Power Member

Offline

### Re: I discovered......

omega is a solution of ln(x) = 0  ??????
how can that be possible if ln(1)=0??

## #3 2005-09-13 18:52:08

ganesh
Moderator

Offline

### Re: I discovered......

Sorry, that should read x+ln(x) = 0

Character is who you are when no one is looking.