Saturday, October 9, 2010

Worst use of time

"One of the very worst uses of time is to do something very well that need not be done at all" - simple rule that everyone knows but rarely follow :-)

As Stephen Covey said: "Before you begin scrambling up the ladder of success, make sure that it is leaning against the right building" 

Thursday, October 7, 2010

Prime Numbers

All prime numbers are of the form 6k +/- 1 (except 2 and 3) where k is a positive integer ( k > 0 ).
It is easy to verify!

6k + 1 - might be prime
6k + 2 = 2(3k+1) so 2 is a factor
6k + 3 = 3(2k+1) so 3 is a factor
6k + 4 = 2(2k+2) so 2 is a factor
6k + 5 = might be prime

6k + 5 can also be written as 6(k-1) + 5 = 6k - 1.

So, every prime is of the form 6k +/- 1

Life is short, live your dream and wear your passion!

Wednesday, September 15, 2010

Tuesday, September 14, 2010

Q.E.D.

I saw this after many proofs but always assumed it meant "hence proved" or something and did not bother to look into the real abbreviation.


I finally looked it up and found that it stands for "Quod Erat Demonstrandu" which in Lating means "which was to be demonstrated"