Saturday, May 31, 2008

Finite Simple Group (of order two)

Sorry for the double post but since Sian Ying posted some fun math stuff, I couldn't resist posting this:


Lyrics (With wiki and mathworld links for some terms that may not be in our syllabus)

Finite Simple Group (of order two)
A Klein Four original by Matt Salomone

The path of love is never smooth
But mine's continuous for you
You're the upper bound in the chains of my heart
You're my Axiom of Choice, you know it's true

But lately our relation's not so well-defined
And I just can't function without you
I'll prove my proposition and I'm sure you'll find
We're a finite simple group of order two

I'm losing my identity
I'm getting tensor every day
And without loss of generality
I will assume that you feel the same way

Since every time I see you, you just quotient out
The faithful image that I map into (See also: Lie group)
But when we're one-to-one you'll see what I'm about
'Cause we're a finite simple group of order two

Our equivalence was stable,
A principal love bundle sitting deep inside
But then you drove a wedge between our two-forms
Now everything is so complexified

When we first met, we simply connected
My heart was open but too dense
Our system was already directed
To have a finite limit, in some sense

I'm living in the kernel of a rank-one map
From my domain, its image looks so blue,
'Cause all I see are zeroes, it's a cruel trap
But we're a finite simple group of order two

I'm not the smoothest operator in my class,
But we're a mirror pair, me and you,
So let's apply forgetful functors to the past
And be a finite simple group, a finite simple group,
Let's be a finite simple group of order two
(Oughter: "Why not three?")

I've proved my proposition now, as you can see,
So let's both be associative and free
And by corollary, this shows you and I to be
Purely inseparable. Q. E. D.

As you can see, they've managed to squeeze a lot of stuff about set theory, group theory and abstract algebra in general into one song, marvellous!

You can check out the group at http://www.kleinfour.com/. Though they don't have the songs on their website, YouTube will get you their songs.

Oh, and this one they did was quite creative too:

[Click the video to see the lyrics, well approximate lyrics, on the YouTube page.]

Happy mugging!

liwei! was sexy at 11:18 PM!

Interesting Stuff

Okay, since Jan can do jokes, I can do "Interesting Stuff".

So, here is a small compilation.


Interestingly cool and creative idea!

Read the text in the triangle below:

Hur hur, most likely you'll end up saying "A Bird In The Bush", but do you see "The" repeated twice?

Okay, how about reading what is written in this picture:

In black you can read the word "good" and in white you can read the word "evil" (for those having difficulty: inside each black letter is a white letter). It's got a philosophical meaning behind it too, visualising the concept that good can't exist without evil, but blah blah.

How about this:

The image describes itself! The yellow background forms the word "optical" and the picture landscape forms the word "illusion". Optical illusion!

And here's another interesting one:

Teachers should love this. To "teach" is to "learn".

And okay, a last one:

"You" is in "me"! (Mwhahaha, you is in me!)

Now, on to something more interesting. Count all the letter "F" that appears in the short sentence below:

FINISHED FILES ARE THE RESULT OF YEARS OF SCIENTIFIC STUDY COMBINED WITH THE EXPERIENCE OF YEARS.

So, how many "F" are there? Hur hur, the answer is 6, keep trying until you give up! :P

----------------------Spoiler----------------------

You missed out the "OF"!

Have fun!

liwei! was sexy at 10:35 PM!

I WILL DERIVE



Since we are all mugging...

the dinosaur was sexy at 10:25 PM!

Thursday, May 29, 2008

All the chicken you could want

*Note: Understanding some of the jokes require relevant background knowledge

Why Did The Chicken Cross The Road? ANSWER:
Pat Buchanan:
To steal a job from a decent, hardworking American.

Louis Farrakhan:
The road, you will see, represents the black man. The chicken crossed the "black man" in order to trample him and keep him down.

The Bible:
And God came down from the heavens, and He said unto the chicken,"Thou shalt cross the road." And the chicken crossed the road, and it was good.

Colonel Sanders:
I missed one?

L.A. Police Department:
Give us five minutes with the chicken and we'll find out.

Richard M. Nixon:
The chicken did not cross the road. I repeat, the chicken did NOT cross the road. I don't know any chickens. I have never known any chickens.

Dr. Seuss:
Did the chicken cross the road?
Did he cross it with a toad?
Yes! The chicken crossed the road, but why it crossed, I've not been told!

Ernest Hemingway:
To die. In the rain.

Martin Luther King, Jr.:
I envision a world where all chickens will be free to cross roads without having their motives called into question.

Grandpa:
In my day, we didn't ask why the chicken crossed the road. If someone told us that the chicken crossed the road, that was good enough for us.

Aristotle:
It is the nature of chickens to cross the road.

Karl Marx:
It was an historical inevitability.

Saddam Hussein:
This was an unprovoked act of rebellion and we were quite justified in dropping 50 tons of nerve gas on the it!

Ronald Reagan:
What chicken?

Captain James T. Kirk:
To boldly go where no chicken has gone before.

Fox Mulder:
You saw it cross the road with your own eyes. How many more chickens have to cross before you believe it?

Bill Gates:
I have just released Chicken '98, which will not only cross roads, but will lay eggs, file your important documents, and balance your checkbook, and Explorer is an inextricable part of the operating system.

Einstein:
Did the chicken really cross the road or did the road move beneath the chicken?

Bill Clinton:
I DID NOT cross the road with THAT chicken.

Janchanaa was sexy at 12:48 PM!

Tuesday, May 27, 2008

Thomas Leeb - "Desert Pirate"

SIANG was sexy at 9:35 AM!

Monday, May 26, 2008

Phoenix Landing Soon!

Remember Jan's post about the new Mars mission to look for life on Mars? Well, its older sibling mission The Phoenix Mars Mission, will be entering and landing on Mars today at about 9:27am. It'll be the first vertical powered landing since 1976.

For those who happen to see this, do click on this link and watch the live coverage. The press coverage just started as I type this. I'm staying up tonight! =D (nerd!)

[Yes, I happen to be a space fan. I do watch NASA TV regularly, and have seen the live launch and landing coverages for past missions (which unfortunately, included seeing the Columbia tragedy unfold)]

liwei! was sexy at 2:56 AM!

Night Cycling

hey all,

hope you're all enjoying the pseudo-holiday.

Alright SY and I were thinking of planning a night cycling outting.

It'll go something like this:

- We all sleep in till abt 1pm on that day, so we'll have sufficient rest for the night.
- Meet in sch in the afternoon to mug till night.
- At night we shove our barang into our lockers and head off. Cycle from bishan to city hall.
- Makan and talk cock at Lau Pa sat.

- Cycle ard somemore, and head back to school. ETA: 6am +
- Shower in school, nap a little.
- Wake up for breakfast.
- Back to studying in school / Go home (up to you, but seeing that CTs are coming we shd study)

For those who dont have bikes, there's a bike kiosk at bishan park.

Lemme know asap which days you'll be free for the next two weeks.


Cheers,
Siang

SIANG was sexy at 12:01 AM!

Saturday, May 24, 2008

Biggest Drawing In The World



Click the picture to find out more.

liwei! was sexy at 8:40 PM!

A choice of Physics or Biology

One of the most important question of the day Does Time Run Backwards?
The universe does not look right. That may seem like a strange thing to say, given that cosmologists have very little standard for comparison. How do we know what the universe is supposed to look like? Nevertheless, over the years we have developed a strong intuition for what counts as “natural”—and the universe we see does not qualify.
Yeah, I know, its a little taxing on the modern short-attention-span internet junkie, but if there's one page you need to read in the article, it's the last one. There, the ideals and hopes of science are laid out.

The other article is Six 'uniquely' human traits now found in animals
To accompany the article So you think humans are unique? we have selected six articles from the New Scientist archive that tell a similar story. We have also asked the researchers involved to update us on their latest findings. Plus, we have rounded up six videos of animals displaying 'human' abilities.

Janchanaa was sexy at 12:55 PM!

Thursday, May 22, 2008

Chicken lays gecko in egg


Who knew that would ever turn up within an fully formed chicken egg that was about to be cracked open and cooked
? Of course the real story is more interesting (and to some, more disgusting) than that. It involves sex, shit, and a really curious gecko, who got 'lost' within a chicken. You'll never look at shelled eggs in the same way again.

Janchanaa was sexy at 12:21 AM!

Tuesday, May 20, 2008

Shunta's Solo

Hey people, here are some photos of Shunta's CO solo, courtesy Chang Xing.

I shall do away with the "If I were a girl" comment. :P

[Be patient with the waiting, the photos are in total 16MB large.]











liwei! was sexy at 10:55 PM!

Sunday, May 18, 2008

Doovde



Genius...

SIANG was sexy at 1:36 PM!

Saturday, May 17, 2008

Friday came 1 day later

This is just something you should need to know about crows. Anyone scared of intelligent birds should never watch this or you'll have nightmares.



For other entertaining science videos go to their website.

Janchanaa was sexy at 2:26 PM!

Thursday, May 15, 2008

John Campbell



from http://stereotypist.livejournal.com/

the dinosaur was sexy at 10:01 PM!

Wednesday, May 14, 2008

Guitar Legend: Michael Hedges

Michael Hedges... his style was absolutely revolutionary. Most of the present day progressive acoustic players built upon his idiosyncratic techniques and composition.

Love this song... It's called Rickover's Dream. He spends about a minute or so tuning though... but even that sounds cool.


OK this next one is an interview... kind of a musician's thing but i reckon it's pretty interesting to listen to his ideas, creative genius and guitar philosophy if i might call it that.



[on a side note: I MIGHT be giving guitar lessons after As, depending on when my country needs me to suit up and blend in with the bushes.haha. Yup just a heads-up if any of you all are interested. Tell your friends, haha.]

Cheers,
Siang.

SIANG was sexy at 8:54 PM!

Monday, May 12, 2008

heh.

crackle.

sorry i couldn't help it.

rachel was sexy at 9:04 PM!

Sunday, May 11, 2008

Wife-Beater

Justin King - "Knock on wood"


enjoy...

SIANG was sexy at 10:39 PM!

Hmm...

So, a little vanity search on youtube turned this up... hohoho...

liwei! was sexy at 9:27 PM!

Friday, May 9, 2008

To Biology, to Mars

Waiting for a long time for an interdisciplinary science article? An exciting new project to Mars is packing in astronomy, physics, chemistry and biology. A new probe is going be launched onto the surface of Mars again, and thanks to the rate of miniaturisation, it's packed with what we might call a lab.
If there is life on Mars, it might soon be coaxed out of hiding by a new instrument designed to detect the subtle chemical traces of biological activity.

The Urey instrument, which will fly on the European Space Agency's ExoMars mission in 2013, has just received $2 million in funding from NASA...

*Psst, there are enantiomers in the article.

Janchanaa was sexy at 10:43 PM!

Friday, May 2, 2008

How good's your memory?

Remember the time we were forced downwards to Africa to live because of the last Ice Age? Or the time that we experienced a massive drought that left us unable to forage for food, reducing our numbers to only the thousands?

What you don't remember?

Well, don't worry, you haven't lost all that information. The Genographic Project keeps a record of all our long lost memories, and for a price, you could even send in your DNA to receive your own unique personal past. If you don't care about anything else and are just looking for a video, click here.

Remember, don't forget. (pun intended, yah I know its lousy)

Janchanaa was sexy at 8:07 PM!