Friday, March 05, 2010 10:47:42 AM
Yes, the time is upon us. Everyone knows pi day is March 14th, but any true nerd realizes pi is not 3.14, but rather an irrational constant which continues infinitely in decimal expansion. Starting at 9:26:53 (.589... sec) AM, the longest extended Pi Day of our lives will come into action. The date, at the AM and PM hours, will be " 3/14/15 at 9:26:53.589. Days like this only come once in a lifetime!
It is understood 1592 was a better year. This was probably the greatest pi day in history. Every 100 years (1915, 2015, 2115 etc) come the next closest pi days. It is also understood there are other minor pi days (be creative). I wrote this just for all you people who like to find missing details written in nerd events. I'm sure you'll still find more ;)
If you're a nerd, you will invite ANY other nerd you know :D
We just broke 100,000 attending RSVPs. Invite all your friends and let's make this the number one nerd event on facebook ;)
Pi =
4*Sum[(-1)^i/ (2*i+1) ,{i,0, infinity}]
= 4*( 1 - 1/3 + 1/5 - 1/7 + 1/9-...)
This formula can be derived using the Taylor series for arctan via integration, namely arctan[x] = integral[1/(1+t^2),{t,0,x}]
and writing 1/(1+t^2) as a geometric sum with generator -t^2.
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