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

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 18,670

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

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**kylekatarn****Member**- Registered: 2005-07-24
- Posts: 445

omega is a solution of ln(x) = 0 ??????

how can that be possible if ln(1)=0??

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 18,670

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

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

Pages: **1**