Tuesday, March 23, 2010

Solution of the Poincaré conjecture

Who Cares About Poincaré?Million-dollar math problem solved. So what?


The Poincaré Conjecture says, Hey, you've got this alien blob that can ooze its way out of the hold of any lasso you tie around it? Then that blob is just an out-of-shape ball. [Grigory] Perelman and [Columbia University's Richard] Hamilton proved this fact by heating the blob up, making it sing, stretching it like hot mozzarella, and chopping it into a million pieces. In short, the alien ain't no bagel you can swing around with a string through his hole.

Introduction on Poincaré Conjecture (slate.com)

In November 2002, Grigori Perelman posted the first of a series of eprints on arXiv outlining a solution of the Poincaré conjecture. Perelman's proof uses a modified version of a Ricci flow program developed by Richard Hamilton. On March 18, 2010, the Clay Mathematics Institute awarded Perelman the Millennium Prize in recognition of his proof.[1]

Solution of the Poincaré conjecture - Wikipedia, the free encyclopedia.

Description


The Poincaré conjecture says that if a 3-dimensional manifold is compact, has no boundary and is simply connected, then it is homeomorphic to a 3-dimensional sphere. The concepts of "manifold", "compact", "no boundary", "simply connected", "homeomorphic" and "3-dimensional sphere" are described below. Perelman (using ideas originally from Hamilton) proved the conjecture by deforming the manifold using something called the Ricci flow (which behaves similarly to the heat equation that describes the diffusion of heat through an object). The Ricci flow usually deforms the manifold towards a rounder shape, except for some cases where it stretches the manifold apart from itself (like hot mozzarella) towards what are known as singularities. Perelman and Hamilton then chop the manifold at the singularities (a process called "surgery") causing the separate pieces to form into ball-like shapes. Major steps in the proof involve showing how manifolds behave when they are deformed by the Ricci flow, examining what sort of singularities develop, determining whether this surgery process can be completed and wondering whether the surgery might need to be repeated infinitely many times.

read more on the link - Solution of the Poincaré conjecture - Wikipedia, the free encyclopedia.



























Millennium Prize Problems
P versus NP problem
Hodge conjecture
Poincaré conjecture (solution)
Riemann hypothesis
Yang–Mills existence and mass gap
Navier–Stokes existence and smoothness
Birch and Swinnerton-Dyer conjecture

Monday, March 22, 2010

Bloody Disgusting's Top 20 Films of the Decade

Click on the link to find out from 21 - 1.

I prefer #11. Rec(2009) as the best horror movie for the decade.

Bloody Disgusting's Top 20 Films of the Decade.

Saturday, March 20, 2010

Paramore - Live in Singapore

7 March 2010, Indoor Stadium

The crowd so ngam...full house...the opening band is like retard even Klux Klux Adventure play better.



Sorry lah kamera murah recording a bit poor, however its clear sound for the mellow hit THE ONLY EXCEPTION.
Last song brick by boring brick ingat mau pogo, sedar2 kawan sebelah aku dah pogo..terpaksa I record jugak.
Goyang terlebih pasal tak tahan mau pogo. One of the best sound system concert i've been so far... performance wise also above 90% marks la..

"Is Hayley on steroid? Non-stop spitting, banging & screaming"

Nah..I kasi u 3 vclips i record masa konsert...

BRICK BY BORING BRICK






FOR A PESSIMIST I'M PRETTY OPTIMISTIC






THE ONLY EXCEPTION






Masa balik paling best.....driver taxi masa nak pergi ke konsert sembang deraih..no problem on Sunday nite many taxi will pick you up.. In the end after the concert we walked 6-8km..lost count due to tired of pogoism and screaming..jauh..Sapa tau Singapore...aku dengan mora menapak from indoor stadium until depan esplanade. refer gambar bawah ni... ni masa dok tepi sungai luar stadium lepas abih konsert. kami jalan sampai depan eye of singapore sebelah kiri disebelah lagi tasik tu...fuh best! dengan humid lagi...combo!!!!



taxi vacant bersepah2 lalu tapi tamau stop.nasib baik singapore cemerlang dari mat pau di kota.kalau tak 15 kali kena pau. masuk area city nampak starbucks around 12am...pergi je dia tutup...i tak kira..i pau jugak segelas air kosong akibat kehausan. mora pun tempeks jugak. pastu kami terus menapak lagi sampai 7-eleven. bodo punya singapore..7-eleven pun boleh tutup midnite...punya bangang. last2 menapak sampai mapley tepi esplanade.kat area makan aku snap gambar singapore malam hari.. I bersyukur pasal i budak asrama...memang ada durability menapak, upgrade skill dari "fly".



Malam cemerlang...jiwa tenang.. lepas makan nasik lemak mora makan nasik goreng..kami akhirnya ambik taxi jugak balik ke hotel...lagi 3-4km ja..malas jalan dah.

Monday, March 1, 2010

Its Raining

Its raining heavily today in Doha...

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