Sunday, July 23, 2006

Very very bored...

Now for some maths lesson.

Fermat's Last Theorem states that

x^n + y^n = z^n

has no non-zero integer solutions for x, y and z when n > 2.

Ok so this is a theorem, actually not proven by him, because he basically proved it wrongly. Therefore he is sort of the creator of this problem. Yeah so basically this was proven in 1994, and of course i'm not gonna copy paste the whole thing down, because the proof is about 100 odd pages.

Right so now i don't know what the hell i'm reading. Basically its the combination of 2 theorem.

First is about the elliptic curve by Frey(not Sebastian Frey) which goes like this:

y^2 = x(x-a^n)(x+a^n)

After some, or rather many calculations, they showed that it is not modular.

Therefore this leads to the 2nd form of concept by a french i believed, Jean-Pierre Serre - The Taniyama-Shimura conjucture, don't ask me how this came about, nice name though.

Taniyama-Shimura conjucture states that if the Galois representation associated with an elliptic curve E has certain properties, then E cannot be modular. Specifically, it cannot be modular in the sense that there exists a modular form which gives rise to the same Galois representation.

Let S(N) be the (vector) space of cusp forms....(OMFG vector space!!!Now truly lost in space.)

So after the concept is applied, together fusing with other equations and concepts together, you get...

It can be shown that if f(z) is a cusp form which is a normalized eigenfunction for all T(p), then there is an Euler product decomposition for the L-function L(f,s). This is obviously of great technical usefulness in relating L-functions of forms and those of elliptic curves (which are Euler products by definition).

I believed after doing all this shit, they just proved that E is not modular.

But the Frey curve is semistable, so the semistable case of the Taniyama-Shimura conjecture, which Wiles proved, implies the curve is modular. This contradiction means that the assumption of the existence of a nontrivial solution of the Fermat equation must be wrong, and so FLT is proved.

I think this about sums it up, just that after this they still had to proof the semistable case of Taniyama-Shimura Conjucture.

LOL, what a way to waste some time...

PS. info provided by http://cgd.best.vwh.net/home/flt/flt08.htm

Bored....

Found this on clara's blog. Very true for me.

Your view on yourself:

You are down-to-earth and people like you because you are so straightforward. You are an efficient problem solver because you will listen to both sides of an argument before making a decision that usually appeals to both parties. (i think so)

The type of girlfriend/boyfriend you are looking for:

You are a true romantic. When you are in love, you will do anything and everything to keep your love true. (Don't know yet, but i hope so)

Your readiness to commit to a relationship:

You prefer to get to know a person very well before deciding whether you will commit to the relationship. (spot on)

The seriousness of your love:

You are very serious about relationships and aren't interested in wasting time with people you don't really like. If you meet the right person, you will fall deeply and beautifully in love. (another spot on)

Your views on education:

Education is very important in life. You want to study hard and learn as much as you can. (yup learn, but nobody mention anything about exam)

The right job for you:

You have plenty of dream jobs but have little chance of doing any of them if you don't focus on something in particular. You need to choose something and go for it to be happy and achieve success. (1 more spot on)

How do you view success:

You are afraid of failure and scared to have a go at the career you would like to have in case you don't succeed. Don't give up when you haven't yet even started! Be courageous. (yeah i'm damn hum)

What are you most afraid of:

You are afraid of things that you cannot control. Sometimes you show your anger to cover up how you feel. (ya like i prefer to die as a pilot instead of dying as a passenger in the plane)

Who is your true self:
You are mature, reasonable, honest and give good advice. People ask for your comments on all sorts of different issues. Sometimes you might find yourself in a dilemma when trapped with a problem, which your heart rather than your head needs to solve. (ya i hope nobody gets screwed by me)

Sunday, July 16, 2006

An everton story found in Liverpoolfc.tv forum...

The year is 2007 and little bluenose Duncan is talking to his bluenose Dad.

SON "Dad, my mates in school told me that Liverpool won the European Cup for the 5th time in 2005 – are they right dad?

DAD "Yes son, it's true, but they were dead lucky son, all the way through the tournament"

SON "Why dad?"

DAD "Well in the group stages ….."

SON "What dad, did they have a team from Azerbaijan, Israel, and Ireland in their group?"

DAD "Well no, they had Monaco, Deportivo la Coruna, and Olympiakos"

SON "Well they still sound like 3 easy teams to me dad"

DAD "Actually Monaco reached the final the year before, Olympiakos had won their league 7 times out of the previous 8 seasons, and Deportivo finished above the galacticos of Real Madrid in their league".

SON "Jeez dad, that sounds like quite a difficult group then".

DAD "yeh I suppose your right son, but they were still lucky – it took a mighty shot by Gerrard against Olympiakos to get through".

SON "oh is that the goal were your hero Andy Gray goes berserk shouting "you beauty, you beauty, what a hit son, what a hit!!!!"

DAD "yes son it is"

SON "oh ok. Well what happened in the last 16 dad, who did they draw?"

DAD "Bayer Leverkusen"

SON "Bayer who?"

DAD "Exactly son, but they had beaten Real Madrid 3-0 at home, and won their group that included Dinamo Kiev and Roma too."

SON "fucking hell dad, they sound good".

DAD "yes, I suppose you're right son"

SON "so did they win on away goals or something"

DAD "errrrr, no, they won both legs 3-1 each"

SON "oh – well who next then dad"

DAD "Juventus"

SON "How did they get past them Dad?"

DAD "Well they did – they won 2-1 at home, and cruised to a 0-0 away draw without Juve having hardly any chances".

SON "were Juve shit at that time – had all their decent players gone or something?"

DAD "well actually they still had players like Del Piero, Nedved, Ibrahimovic, Thuram, and Buffon in the side. And they won Serie A a few weeks later."

SON "wow, they beat the Italian champions elect – which easy team did they get in the semi then?"

DAD "Chelsea"

SON "Chelsea – what an easy draw – they've won nothing, Everton have won more than them".

DAD "well that season they won the Premiership and League Cup but the Reds didn't let them score in 180 minutes of football"

SON "Jesus Christ – so Liverpool beat the English Champions elect too"

DAD "yes son, they fucking well did".

SON "so after all that I suppose all the good teams had been knocked out"

DAD "not quite son, AC Milan awaited them in the final"

SON "no way – aren't they the 2nd most successful team in the competition's history".

DAD "yes son they are"

SON "so were Liverpool lucky because Milan had all their good players out with injuries"

DAD "no – they had Shevchenko, Crespo, Maldini, Nesta, Cafu, Kaka, Stam, Dida, Gattuso, Pirlo, and Seedorf".

SON "your 'avin a laff"

DAD "it gets worse son, Milan were cruising 3-0 up at half-time".

SON "what happened, did they have 3 men sent off in the second half – how did Liverpool get back into the game?"

DAD "no, Milan had no men sent off, the Reds scored 3 goals in 6 minutes"

SON "against the best defence in Europe"

DAD "yes!!!, against the best defence in Europe"

SON "so what happened next - extra time?"

DAD "yes son, and Dudek made the luckiest save ever to stop a Shevchenko shot from a yard"

SON "why was it lucky dad – did it hit him on the arse, nose, shoulder or something"

DAD "no son, his hand"

SON "well aren't goalies meant to save shots with their hands"

DAD "yeah but that's besides the point"

SON "then what"

DAD "penalties!"

SON "English teams are crap at penalties"

DAD "not this time they weren't – they only missed one. And that's how Liverpool became the luckiest team to win the European Cup".

SON "but I bet when they brought the cup home there was hardly anyone to watch as all Liverpool fans live anywhere but Liverpool you say. How many was there, 5,,000 or so?"

DAD "1 million people lined the streets".

SON "so let's get this straight dad – Liverpool had 3 good teams in their group, they then knocked out a team who had beaten Real Madrid 3-0, they then knocked out the future Serie A champions, then knocked out the future Premiership champions, before coming back from 3-0 down to beat the 2nd most successful club in Europe. And then the whole population of Liverpool came out to welcome them home!!!!

DAD "that about sums it up son"

SON "dad?"

DAD "yes son"

SON "can I have a Liverpool shirt for my birthday next week, and can you stop calling me Duncan – I'm Stevie from now on"

LOL this just brightens up my day!

Monday, July 10, 2006

World Cup 2006

This morning, the final match ended, with Italy winning the world cup in the penalty shootout.

I still damn pissed, because i should have won some money, all because of some fucking french who dived in the 7th min to get a penalty. Congrats to the best actor award, Son of a motherless whoremonger malouda! Then zidane went on to convert the penalty, in a bloody cheeky manner, hit the underside of the bar and bounce in and out of the net.

Then another case of diving is the best supporting actor Sagnol. He clashed with an Italian player, and camera replays show no contact on any part of his foot, and looking at the italian groaning on the ground due to the impact, he decided to fall to the ground, and clutches his leg. What the fuck, fucking french.

Of course don't forget the Best Newcomer Award, awarded to the fucker henry. Imitating rivaldo and clutching his head when his chest was being pushed, the expression was wonderful, and that earned him the newcomer award. This fucking loser can't accept the champion league defeat and well he have done what he said, "maybe next time i would dive." Ya fuck off u bastard.

Anyway back to the game, after the FF(fucking french) scored, italy went on the attack, and soon after got a goal from materazzi. Pirlo floats in the corner and he outjump viera and scores. After that italy were delighted to sit back and relax, and the game ended this way. It would have been 1-0 if that fucker dived and got yellow carded instead.

In the extra time, the FFs made a mistake, or rather zidane made a mistake. In a heat of the moment, most probably being provoked, he headbutt materazzi, and was sent off as a result. A disgraceful exit from the international scene, and that caused the downfall of the FFs.

This world cup sees many international footballer retiring. Just to name a few, pauleta, figo, zidane, thuram etc etc. Not a very good world cup in my opinion, the teams were too cautious, and can't find any match that was excellent. It had also been scarred by the fact that this game is plagued with diving and simulation, which must be addressed in the next world cup.

Is the world cup dying?

Wednesday, July 05, 2006

Germany *jackpot* Italy

This is by far the most open game i have seen since the Italy vs Ukraine match. I could see the intent of both teams right from the start of the match. It was a relatively fast pace game, and Italy was slowly taking control of the game. Andrea Pirlo and Gattuso was getting the better out of michael ballackand kehl.
However in the 2nd half, they chose to sit back and defend, in which they did a damn solid job. That's when i thought the Italy coach has something up his sleeves. Germany went on the attack, but couldn't get a goal. The back 4 was marshalled by cannavaro, who had a wonderful game, and the Italy and most probably world no. 1 goalkeeper Gianlugi Buffon was having his usual wonderful game.
After what seemed like months, my $40 is then in the bag, now for Italy to finish the job. What i thought earlier turned out to be correct, with the Italy coach bringing on iaquinta gilardino and del piero at the latter stage of the match. Italy was then back to controlling the match, but could not find a goal, thanks to the rare wonderful performance of the German back 4. Just when i thought it was heading for penalty, The last corner kick of the game, floats it in, Pirlo brought it down, calmly slots the ball to Grosso, who wonderfully curled it into the bottom left corner. Superb goal, and bye bye Germany. I told you its destiny that italy will reach the final. Next up is the final game, i'm gonna give the France vs Portugal game a miss.
The referee this time round did a very fine job, showing no signs of unfair treatment whatsoever, a job well done. The German fans showed once again that they know nuts about football. A superb sliding tackle from the back which had full contact with the ball, drew shouts of foul and jeering instead of commenting on the good tackle.
Finally, hit my first jackpot, and i hope many is still to come. However, i must warn everyone, gambling is absolutely pervertic. I was encouraging the Italians to dive more to waste more time. LOL.

Sunday, July 02, 2006

Homeground is back...

A night of the underdogs, as England and Brazil are giong home after being beaten by portugal and France respectively.

We switched to the local channel, and i'm glad that we can still play in our homeground, just that we have to be careful of the guard. Didn't do too badly i guess, better than average la, since i'm being motivated by the world cup and everything.

Unfortunately i screwed my ankle, don't know what's wrong also, i think its an old injury, and somehow my toe nail got injuredm damn bloody pain.

I just found an interesting site, hope it's useful, to all KFC members.

www.expertfootball.com

England vs Portugal.

Hahaha, now i'm blogging with a happier mood, because portugal is through to the Semi-finals after a 3-1 penalty shoot out win.

Portugal, as i've said, has the tactical advantage over England. Scholari has shown what a master tactician he is, and there is no way the crap handphone can win him in the tactical field.

Players wise, although portugal were without deco and costinha, they are still a very strong team because they have sufficient depth. This is shown in their first group stage game, where deco and costinha were also not playing, but they were still able to play as a team without missing their pressence.

First half on the way, nothing much, except that my father was confused which team was giving ball, as in the bookie betting side. England were supposed to be the favourites, and here portugal were attacking them like mad. England employed the 451 formation, with rooney upfront.

WHO IN THEIR BLOODY RIGHT MIND WOULD PLAY ROONEY AS A LONE STRIKER?

There's only 1 answer to that, the legendary world class hp. Apart from that, he still managed to screw up the midfield trio of gerrard lampard and hargreaves. Half the time hargreaves is roaming upfield with lampard defending. The other half the time you don't know what the hell they are doing, because i believe they don't even know what their role is.

Half chances through the whole game, with the talking point being rooney sent off. It was abit harsh caused it just looked like a push on ronaldo, but maybe he said something or what, you know he always like to "fuck off" here and there. Abit biased in that situation, doesn't warrant a straight red.

Portugal were the better side, they pass the ball around quickly, find space to run into and they have the urge to attack. It made me feel like as if i was watching a more modified version of argentina playing football. England were slow, with no urgency whatsoever, and played like they were leading 3-0 4-0.

In the end, England got what they deserved, and bye bye, its time to go home. The quality is there, but sadly, the manager failed them, and if people want to start pointing finger, all should go to my Manager of the World Cup, Mr Sven Goran Ericsson a.k.a HP.

Saturday, July 01, 2006

Argentina VS Germany

It is with a heavy heart, that i blog about the first quarter final game, Argentina VS Germany. You should have guessed it, Germany is through to the semi finals after winning the penalty 4-2, thanks to the bloody fucker Lehmann who emulated Dudek to distract his opponent. This motherless whoremonger just insulted those related to LFC.

Oh well, just affected by Germany winning, and of all people that crap Lehmann being the hero. Ok the first half was calm playing by Argentina, very very composed and I was impressed. They passed the ball around, looking for loopholes, and played some intelligent football. Well no goals, except for that Germany using rough tactics to break up Argentina's free flowing football.

2nd half came, argentina started well, and at last got a goal through ayala. Riquelme's corner found ayala and he puts it into the back of the net. After that was some negative playing my the Argentine manager, which eventually lead to the team's downfall. Earlier i said about the dangers of negativity in the england match, and this time, something possessed Pekerman, and he took out crespo and riquelme, with no messi coming on. The sensible thing to do then was to take off crespo, put messi in, and play on the counter attack.

Things weren't better when abbondanzieri was injured, which means that there is no more substitutions for Argentina. The Germany supporters are really losers, i'll admit that i was irritated with all the jeerings and stuff, but since its their homeground, i guess its acceptable, but to jeer at a goalkeeper who's being stretchered off injured, how low can they get?

Hence when Germany got the equaliser through klose, they had the advantage. This can be seen when argentina send their 2nd penalty kicker, Roberto Ayala, a defender. The rest is history. Big mistake by the manager, heartache for argentina, and no sleep for me tonight.

ARGHHHHH.