Thursday, September 18, 2008

billard cue

Studying a pure math degree in NUS is like someone taking a billiard cue and stuffing up your arse, slowly

And then only at the last part they activate the spikes

Monday, September 8, 2008

social experiment

My friend was telling me that in this world you need 2 sets of rules; for the obedient, and for those that don't wish to obey official rules I.E: the underworld people...he went on to say how there's actually order in chaos blah blah...

I simply shut him up, assure him that his topic is good for writing his essay. But definitely not a reflection of society
We need 2 sets of laws, one for the rich, one for the rest...the former might even be a null set actually, but it's still a set.

Tonight everyone reading this is going to be part of a social experiment
If you have the chance to go through what the ex NKF CEO went through and need "suffer" the circumstances now...will you accept it?
He's imprisoned for a few months...family disgraced...blah blah
BUT
he splurged god knows how many millions taking first class flights and golden taps and toilet bowls for his black arse. With of course a stealth "X" amount of dollars hiding in some foreign banks collecting interest as he sits in his prison cell...all of this just for a few months of prison?
Pretty worth it isn't it?
--> interested readers might even view his "X" amount for his acting and cover mouth fees


Wait a second, just in case you are some high level civil servant reading this and thinking" what the fuck man, this guy is never going to get promoted!!!"
All these are just talking cock...

Why so serious...

hahaha...

hehehe...

hohoho...

WHY SO SERIOUS

rich VS powerful

if you have a choice, do you wish to be rich? or powerful?

Bear in mind that if you are rich, every father mother son is going to lick you foot and wanting to be your friends, including the powerful people
However if you are powerful, you may not even be rich, or that rich

See that the "leader of the world" draws a lower salary than "king of the red dot"
and we are not even counting the "side pocket"

Thursday, September 4, 2008

pie

where's my pie?
The American pie

Instead of getting the American pie i keep getting pieces of pork
cheebye take lesser money than them but the pork are equally much

Monday, September 1, 2008

Algebra

I'm actually so ashamed of keep asking Weicang on Algebra definitions that i thought i better type them out in an effort to remember them.

Group G
a set of elements with a binary operation defined on it such that x.y=z, where x,y,z are elements in G, . is the well defined binary op.
for every group there exist an identity element such that x.1=1.x=x
the binary op is associative
for every element in the group there exist an inverse such that x.y=1, note that the op may not be commutative

examples of groups are: even numbers, prime number congruent modulo group, 2x2 matrices

Homomorphism H
a mapping on a group such that H(x.y)=H(x)H(y), note that x.y remains as an element in G

Isomorphism I
a bijective homomorphism

Automorphism
A isomorphism from a group to itself, domain = codomain
thus preserving the structure of the group
the set of all automorphism of an object itself is a group
the automorphism group

More important for me...
In graph theory an automorphism of a graph is a permutation of the nodes that preserves edges and non-edges. In particular, if two nodes are joined by an edge, so are their images under the permutation.
And once you take all possible permutations and generalize them, you can an automorphism group.
and when two groups are representing two different graphs are actually isomorphic, they share the same structure and problems under one graph can be carried over and study on then.