Want to see something crazy? Unless you're pretty up there in math, this should surprise you...Raise i to the i power on any calculator that can do complex number math (any TI83+ will do it).Surprised at the answer? I'll let another digger handle the explanation.
@realitybias:1: i ^ i = e ^ x for some x2: x = ln( i ^ i )3: x = i ln( i )4: x = i ln( -1 ^ (1/2) )5: x = ( i / 2 ) ln( -1 )6: e ^ ( i * pi ) + 1 = 0 [Euler's equation]7: e ^ ( i * pi ) = -18: i * pi = ln( -1 )9: x = ( i /2 ) * ( i * pi ) [by 5 and 8 above] 10: x = ( i * i * pi ) / 211: x = -pi / 212: i ^ i = e ^ ( -pi / 2 ) = 0.207879576... QED
rocketbirdApr 15, 2007
explanation*How's that for irony?
Closed AccountApr 15, 2007
Want to see something crazy? Unless you're pretty up there in math, this should surprise you...Raise i to the i power on any calculator that can do complex number math (any TI83+ will do it).Surprised at the answer? I'll let another digger handle the explanation.
derekbalsamApr 15, 2007
@realitybias:1: i ^ i = e ^ x for some x2: x = ln( i ^ i )3: x = i ln( i )4: x = i ln( -1 ^ (1/2) )5: x = ( i / 2 ) ln( -1 )6: e ^ ( i * pi ) + 1 = 0 [Euler's equation]7: e ^ ( i * pi ) = -18: i * pi = ln( -1 )9: x = ( i /2 ) * ( i * pi ) [by 5 and 8 above] 10: x = ( i * i * pi ) / 211: x = -pi / 212: i ^ i = e ^ ( -pi / 2 ) = 0.207879576... QED
dmightxApr 15, 2007
@sepulturahe didnt even complain? tell me one complaint he said...
Closed AccountApr 15, 2007
I always thought "i" was a letter :S
uceboyxApr 15, 2007
so nice...many good geek jokes here :D
dharmaturtleApr 15, 2007
I don't get it... someone please explain 'cause my mind doesn't feel like moving at 3 in the morningblaugh chances = 00
rjnavarreteApr 15, 2007
It's like: "What's your New Years resolution?!"But the other screen answered with his actual screen resolution.Pretty funny.
gabizzerasApr 15, 2007
AHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAH
pedlezelnipApr 15, 2007
You beat me to it, as I was going to post a link to XKCD as well as it is awesome. Particularly for the mathy-comp-sci geek (like me).
rustiMay 3, 2007
Buy the Tshirt!<a class="user" href="http://www.cafepress.com/shop133t">http://www.cafepress.com/shop133t</a>seriously.