Thursday, March 13, 2008

Lasik Surgery

Lasik Surgery: When the Fine Print Applies to You
By ABBY ELLIN
Published: March 13, 2008
After undergoing Lasik sugery, most patients are quite satistfied. But all surgery carries a risk.

Sunday, March 9, 2008

Relative harm of various drugs!



Yes - Alcohol is #5 on the list compared to LSD, cannabis or ecstasy!

Thursday, March 6, 2008

Why complex vector space inner product is defined with conjugate symmetry?

If you don't use conjugate but simple symmetry it will produce a contradiction with the axiom X . X >= 0

assume X.Y = Y. X

X.X >=0

=> c1 X . c1 X >= 0 [where c1 is a complex number with an imaginary part]

=> c1 (c1 X . X) > = 0 by linearity

=> c1 (X . c1 X) > = 0 by symmetry

=> c1 . (c1 ( X. X) )>= 0 by linearity

=> (c1 . c1) . (X.X) > = 0 by associativity of complex numbers

which is a contradiction.

to see this, if you take c1 = i [square root of -1]

=> -1 (X.X) >= 0

=> (X.X) <= 0

cool, right?

Sunday, March 2, 2008

Evolution videos in Google videos


There are nice set of videos in Google videos about Evolution - MUST see:
PBS Nova Evolution Episode number three (3), maned "Extinction" Documentary. (3rd out of 7)

Monday, February 4, 2008