RKMBs Forums .::Important::. off topic and offensive posts For the attention of Chris Oakley

Vin Deisel?

This guy is what all the fuss was about?

He's certainly no Burt Ward!

I wonder if bsams has chris's birthday card from a few years ago.

I'll be having wet dreams about that photo for a week!

You forgot to call im ma'am.

just the facts mxy

You guys need to stop making fun of oakley. He really doesn't like kurt angle because oakley tried to hump him at a wrestling match once. Its all kurt angles fault.

I'M GONNA PUNCH THAT TWERP ANGLE IN THE FACE!!!! AND IT'S ALL MXY"S FAULT!!

I HATE YOU MXY!! I HOPE SOMEBODY SLITS YOUR THROAT!

Here is a strange continuous function on the unit interval, whose derivative is 0 almost everywhere, but it somehow magically rises from 0 to 1!

Take any number X in the unit interval, and express it in base 3. Chop off the base 3 expansion right after the first 1. Next change all 2's in the expansion to 1's. This number now has only 0's or 1's in its expansion, so we can interpret it as a base 2 number! Call this new number f(x).

If you plot this function, you get something called the Devil's Staircase. It is related to the standard Cantor set in the following way. This function is constant at all the removed intervals from the standard Cantor set. For instance if x is in [1/3,2/3], then f(x)=1/2. If x is in [1/9,2/9], then f(x)=1/4; if x is in [7/9,8/9], then f(x)=3/4.

If you plot this you will see that this function is not differentiable at the Cantor set points, but has zero derivative everywhere else! But since a Cantor set has measure zero, this function is has zero derivative practically everywhere, and only "rises" on Cantor set points!

I have a great dog. She's half Lab, half pit bull. A good combination. Sure, she might bite off my leg, but she'll bring it back to me.
--Jimi Celeste


Don't make the mistake of treating your dogs like humans, or they'll treat you like dogs.
--Martha Scott