Sieve of Eratosthenes

In mathematics, the Sieve of Eratosthenes is a simple, ancient algorithm for finding all prime numbers up to a specified integer^[1]. It works efficiently for the smaller primes (below 10 million) ^[2]. It was created by Eratosthenes, an ancient Greek mathematician. When the Sieve of Eratosthenes is used in computer programming, wheel factorization is often applied before the sieve to increase the speed.

The algorithm

1. Create a contiguous list of numbers from two to some highest number n.
2. Strike out from the list all multiples of two (4, 6, 8 etc.).
3. The list's next number that has not been struck out is a prime number.
4. Strike out from the list all multiples of the number you identified in the previous step.
5. Repeat steps 3 and 4 until you reach a number that is greater than the square root of n (the highest number in the list).
6. All the remaining numbers in the list are prime.

regrets

I'm leaving NUS soon. But actually i don't really wish to graduate, i'm enjoying my modules, i'm enjoying my work.

Here's a list of regrets that i'm going to carry leaving here, it sucks totally knowing that i can't do anything about them

1. staying in a proper hall
2. going for WAT
3. going for xchange
4. my summer program (Goh yunn ting fuck u)
5. Writing foolproof helpsheets with tutorial solutions for all my modules, i'm sure i will have been able to get a grade better for half a dozen of them. But as Dr Lian said: education is not about exams
   
6. tainctinvruntuhcajerusefreymetjolnojsekucfcpulptnhhepjhnm (this is under a mathematical cipher, coding theory gentlemen)
7. Some modules that i wanted to take but humji don't dare take...set theory, number theory, taming chaos, physical questions from everyday life. But oh wells least i can still crash classes in NTU when i'm at NIE.
   

MOE vs Profs

I have always been shocked by the fact that i'm much more inspired into studying by the professors in NUS than all the teachers that i ever had. Teachers who are actually trained professionals versus professor who are actually teaching to fulfill their contract requirements.

The great minds of today teaching the great minds of tomorrow.

So here's a summary of things that they have said, something i will remember for a long, long time

Prof Lian Bong hor:
Education is not about exams
I know that you people have been taught to bull-shit your way through the moment you don't know something, that's not the way to go
In abstract algebra, you got to learn how to think!

Dr Toh Phee Choon:
You cannot choose how smart you are, but you can choose how hard-working you want to be

Prof Zhao gong yun
Don't play game with irrational people

Prof Chan heng huat
A mathematician is a lonely job

Dr Phil Chan
Education is not the filling of a pail, but the lighting of a fire
Why do we need science? Because human must progress, to progress we need research and thus the study of science.

Prof Tay yong Qiang
You should not go on auto-pilot
What is science? Is Biology science? You can find a lion on Earth but can you find a lion on Mars? Is Physics science? They can't even prove fundamental laws like conservation of energy/momentum and there are so many things like dark matter, dark energy that they don't have the slightest understanding of. Yet these things threaten to crumble everything they have learnt/done. Is computer science science? If an alien pops up now what computer program does it uses? It's not going to use JAVAAAAAA........
Is mathematics science? Science is about absoulte truth! Is mathematics true everywhere? Seven is a prime number here, will seven be a prime number on Mars? How can seven not be a prime number? We DEFINED it to be a prime number! Mathematics is about ever-lasting absolute truth!

NUS wayang show

Right so our OKR actually conducted a fire-drill

While the various halls were having their IHG finale celebration at the track, we were made to fall in at the tennis court

WHAT THE FUCK
WE DON'T NEED ANY MORE REMINDERS ON HOW UN-HAPPENING WE ARE. ON HOW OKR HAS NO "SHE", BUT ONLY LOTS OF "SHIM"

To all the uncles conducting the wayang show, I know that people w/o real substance tend to behave a bit more garang when recession looms but please...i think you might do better if you go make coffee for your boss.


I didn't not pay so much money for a room, just to get disturbed in my dinner!!!

Plus, how come Dr Wang Erxiao wasn't asked to fall in at the court?
I didn't know that math professors are fire-proof

Look around OKR, what are the potential fire hazrds? The pantry of course
So why not we learn to prevent any accidents by first telling the unhygenic foreigners to don't cook, cook, and cook more
while not
Clean, clean and clean at all

Those flithly bastards




Oh man
i have always hated two kinds of people: the fat and the stupid

Both are a waste of resources
You hear so many climate-scientists saying the climate is worsening because we blah blah blah
and how things are more expensive because resources are becoming more scarced.

There, i have a instant solution


Its totally justified isn't it?
Have you seen any scientist,mathematicians,politicians, or people who have produced work which are irreplacable being a fat-ass?

numb3rs

“

We all use math every day; to predict weather, to tell time, to handle money. Math is more than formulas or equations; it’s logic, it’s rationality, it’s using your mind to solve the biggest mysteries we know.

”

progress

Still, its hard to be analogous to the Johnson scheme
Part 1 of the paper is typed and edited, i thank Mr Jake Ong, English major at York for his time.

However it is hard to include much information about association scheme as i don't have much info pertaining to my n-partition graph.

3 tests and 1 presentation next week....

P.S: I wish tyhe heng and Lau all the best
P.S.S: I think most chinese are committing Russell's paradox everyday
P.S.S.S: i overheard this girl in combinatorics telling her friends that she's going Germany for exchange next sem and she's so proud of herself blah blah. But what the fuck judging from what i see of her work she knows no math at all, the only reason why she's allowed to go is simply because she knows freaking German? Shame, what a shame













Bumsen!!!

the smartest people in the world

I have a new theory

I think the irrational, illogical people are the smartest people in the world. Let's call these people N
No matter how smart the rest of the human population are,
we can never fucking figure out how their train of thought works
No matter how much education is thrown at them
they still can't process information, think properly, and make a proper response!

Now thats fucking impressive isnt it
They are like a black hole
A mathematical singularity

No matter how much you throw at them?
They suck everything in, and nothing comes out.

It may be money, advice, books.

To summarize?
I have no idea what the fuck they are thinking