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March 14, 2007
4/1 - 4/3 + 4/5 - 4/7 + 4/9 - 4/11 . . .
It's π Day again. Happy π Day. And now I will recite for you π up to 26 digits. I kind of stopped learning more digits several months ago, but it just seems like I should be reciting this today for everyone, you know? Okay, so here goes:
A-hem ...
3.14159265358979323846264338
Impressive, yes? I know, not hardly. Oh well.
Today is also the official first day of SxSW Music - so I'm gearing up for that as well.
Okay, so here are some fun and easy mathematical analysis formulas for you to do today that all use π:
The area of the unit disc:
An integral formula from calculus (see also Error function and Normal distribution):
Stirling's approximation:
An application of the residue theorem:
where the path of integration is a closed curve around the origin, traversed in the standard anticlockwise direction.
And last but not least I must throw one in for the Future Mrs. Euler, Euler's identity (called by Richard Feynman "the most remarkable formula in mathematics"):
Have fun and have some pie.
Pearls of "wisdom" by Jamie at March 14, 2007 09:28 AM