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#1 2005-09-11 19:59:49

ganesh
Moderator
Registered: 2005-06-28
Posts: 14,522

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 


Click here to visit the site


Character is who you are when no one is looking.

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#2 2005-09-12 12:39:14

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

Re: I discovered......

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

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#3 2005-09-12 20:52:08

ganesh
Moderator
Registered: 2005-06-28
Posts: 14,522

Re: I discovered......

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


Character is who you are when no one is looking.

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