Control the universe

“Emptiness is everywhere and it can be calculated, which gives us a great opportunity. I know how to control the universe. So tell me, why should I run for a million?” he told the Russian newspaper Komsomolskaya Pravda.

— Math genius Grigori Perelman explains why he turned down $1 million prize

— By Nadine Bells | Good News – Wed, 4 May, 2011

2011.05.06 Friday ACHK

Anti de Sitter space 3

de Sitter Space distinguished from spacetime in general relativity

Fundamentally, the key concept behind the idea of de Sitter space is that it involves a variation on the spacetime of general relativity in which spacetime is itself slightly curved even in the absence of matter or energy.

An inherent curvature of spacetime even in the absence of matter or energy is another way of thinking about the idea of the cosmological constant in general relativity. An inherent curvature of spacetime and the cosmological constant are also equivalent to the idea that a vacuum (i.e. empty space without any matter or energy in it) has a fundamental energy of its own.

de Sitter space can also be thought of as a general relativity like spacetime in which empty space itself has some energy, which causes this spacetime (i.e. the universe) to expand at an ever greater rate.

— Wikipedia on Anti de Sitter space

2011.05.04 Wednesday ACHK

塗改風暴 3.2

這段改編自 2010 年 5 月 1 日的對話。

現在不是書法比賽。記住,考試時,字體毋須優美,但是一定要清楚。

(CKY:這是我的個人感受。寫字寫得不美觀時,我會把字塗改掉,重新再寫一次。)

千萬不要那樣。這個壞習慣,隨時可能誤你一生。

試想想,可能因為這個壞習慣,你在某一科考試時,總共浪費了幾分鐘;可能因為那分鐘,你在該科損失了幾分的分數;可能因為那幾分,你在該科得不到你想要的成績等級;可能因為該科失手,你沒有足夠的成績升讀中六,又或者升讀時選不到你原本想讀的科目,大大減低了你升讀大學的機會。那樣,足以令你斷送一生的幸福。

(CKY:那麼嚴重?)

當然是嚴重啦!試想想,「僅僅合格」和「僅僅不合格」,只是一分之別。

— Me@2011.05.02

2011.05.03 Tuesday (c) All rights reserved by ACHK

On Keeping Your Soul

The great challenge at the beginning of ones career in academia is to get tenure at a decent university. Personally I got tenure before I started messing with quantum gravity, and this approach has some real advantages. Before you have tenure, you have to please people. After you have tenure, you can do whatever the hell you want – so long as it’s legal, and so long as your department doesn’t put a lot of pressure on you to get grants. (This is one reason I’m happier in a math department than I would be in a physics department. Mathematicians have more trouble getting grants, so there’s a bit less pressure to get them.)

The great thing about tenure is that it means your research can be driven by your actual interests instead of the ever-changing winds of fashion. The problem is, by the time many people get tenure, they’ve become such slaves of fashion that they no longer know what it means to follow their own interests. They’ve spent the best years of their life trying to keep up with the Joneses instead of developing their own personal style! So, bear in mind that getting tenure is only half the battle: getting tenure while keeping your soul is the really hard part.

— Advice for the Young Scientist

— John Baez

2011.05.02 Monday ACHK

Chrono Trigger 3

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Masato Kato confirmed that Cross featured a central theme of parallel worlds, as well as the fate of Schala, which he was previously unable to expound upon in Chrono Trigger. Concerning the ending sequences showing Kid searching for someone in a modern city, he hoped to make players realize that alternate futures and possibilities may exist in their own lives, and that this realization would “not … stop with the game”.

— Wikipedia on Chrono Cross

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2011.05.02 Monday ACHK

對牛彈琴

大世界 4

Intellect 3

Intellect is invisible to the man who has none.

— Our Relation to Others, § 23

– Arthur Schopenhauer

Intellect is invisible to those have none.

(安:那是什麼意思?)

不聰明的人是不會感受到,聰明的東西究竟聰明在什麼地方。

假設有一個平庸的人,他的智力只有 100 個單位。假設有一篇上佳的文章,它的內容「智力」有 150 個單位。如果你把那篇上佳文章給那個平庸的人的話,他會覺得,那篇文章只值 100 個單位。他不會感受到那額外的 50 分在哪裡,因為以他自己的智力,不足以領會那高於他智力的 50 分。他會覺得,那篇上佳文章是沒有價值的。

而最麻煩的地方是,他因為沒有能力領會那高於他智力的額外 50 分,他根本不會覺得,自己的智力低於那篇文章。結果,他不單不會質疑自己的智力,反而只會責怪那篇文章的作者,浪費他的時間。

– Me@2011.05.01

2011.05.01 Sunday (c) All rights reserved by ACHK

Ra’s al Ghul

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Planned cast

Bale said he would return if Nolan did. Aaron Eckhart had expressed his enthusiasm to return for a sequel if asked, although he later stated Nolan verified that his character, Harvey Dent, is dead. Nolan confirmed that the ensemble cast from the first two films will be returning. Tom Hardy and Anne Hathaway have been cast as Bane and Selina Kyle. Juno Temple has been cast in a role described as a “street-smart Gotham girl”. Josh Pence was cast as a young Ra’s al Ghul, with his scenes to take place thirty years before the events of Batman Begins. Nestor Carbonell is in negotiations to reprise his role as Mayor Anthony Garcia. Joseph Gordon-Levitt has been cast as John Blake, “a Gotham City beat cop,” along with Marion Cotillard, who will be portraying Miranda Tate, “a Wayne Enterprises board member eager to help a still-grieving Bruce Wayne resume his father’s philanthropic endeavors for Gotham”.

— Wikipedia on The Dark Knight Rises

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2011.04.30 Saturday ACHK

The future of web startups

So you end up with a world in which high school students think they need to get good grades to get into elite colleges, and college students think they need to get good grades to impress employers, within which the employees waste most of their time in political battles, and from which consumers have to buy anyway because there are so few choices.

Imagine if that sequence became a big, straight pipe. Then the effects of being measured by performance would propagate all the way back to high school, flushing out all the arbitrary stuff people are measured by now. That is the future of web startups.

— Paul Graham

2011.04.29 Friday ACHK

塗改風暴 3.1

這段改編自 2010 年 5 月 1 日的對話。

考試的其中一個重要技巧是,不要用塗改液。

(CSK:我剛剛才買了一支塗改帶。)

毋須使用。如果寫了錯東西,就用手上的筆把它劃掉便行。如果要劃掉一大段東西,我建議使用鉛筆,因為,萬一之後發現劃錯了的話,你可以「還原」。

— Me@2011.04.28

2011.04.28 Thursday (c) All rights reserved by ACHK

MapReduce 2

MapReduce is a framework for processing huge datasets on certain kinds of distributable problems using a large number of computers (nodes), collectively referred to as a cluster (if all nodes use the same hardware) or as a grid (if the nodes use different hardware). Computational processing can occur on data stored either in a filesystem (unstructured) or within a database (structured).

“Map” step: The master node takes the input, partitions it up into smaller sub-problems, and distributes those to worker nodes. A worker node may do this again in turn, leading to a multi-level tree structure. The worker node processes that smaller problem, and passes the answer back to its master node.

“Reduce” step: The master node then takes the answers to all the sub-problems and combines them in some way to get the output — the answer to the problem it was originally trying to solve.

— Wikipedia on MapReduce

2011.04.27 Wednesday ACHK

A time to fear

Time Theory of Fear

Do the thing you fear, the fear disappears.

If you do not do something your fear, that thing remains in your future.

Future implies possibilities and uncertainties. The fear is due to the uncertainties.

But once you have started the thing your fear, the thing is already in your present.

The uncertainty is much less.

The fear before an exam is greater than the fear during the exam.

The fear before an announcement of exam results is greater than the fear after.

– Me@2009.11.07

2011.04.26 Tuesday (c) All rights reserved by ACHK

免責條款

我的網誌,紀錄了我平日傳授給學生的讀書方法。而那些技巧,是根據我個人的讀書和教學經驗,改編加工而成的。一開始介紹它們給新的學生時,我通常都會作一些「免責聲明」。

我的讀書方法,只是供大家參考。如果你本身有讀書方法,而又行之有效的話,根本沒有必要理會。相反,如果你本身成績不理想,而又對讀書方法毫無頭緒的話,你可以暫時嘗試使用我的提議。長遠來說,你應該以我的讀書方法作為起點,然後把它們逐步修改,直到改編成最適合你自己的版本為止。

— Me@2011.04.26

2011.04.26 Tuesday (c) All rights reserved by ACHK

大智若愚

這段改篇自 2010 年 5 月 1 日的對話。

題目問你什麼,你就答什麼,不要答多,不要答少。千萬不要為了表演自己的數學知識,而添加額外的解釋,因為閱卷員不會有時間理會它們。

(CKY:除了你的方法以外,我還想到這個方法。)

我的方法比你的方法好。你的方法要聰明的人才可以掌握;而我的方法任何人都可以掌握。你的方法要精神狀態好時才想得出來;而我的方法任何時候也可以想得出來,因為我的方法十分「愚蠢」,根本連想到不用想,就自然記得。

記住,考試時的唯一目標,是奪取最多的分數,而不是炫耀自己的智力。

— Me@2011.04.24

2011.04.24 Sunday (c) All rights reserved by ACHK