— 浪蕩與沉思(續)

— 思考藝術

2011.10.31 Monday ACHK

Zeno’s paradox

knucklebumpler had this to say: “This is solved by the “block time” view of time that’s forced on us by special relativity and the relativity of simultaneity. So there’s no need for one event to have “happened” before some ‘future’ event. We can just regard the whole thing as one big four dimensional block of space-time.” – David Zaslavsky Jun 25 at 20:58

2011.10.30 Sunday ACHK

Compound interest

What Bode was saying was this: “Knowledge and productivity are like compound interest.” Given two people of approximately the same ability and one person who works ten percent more than the other, the latter will more than twice outproduce the former.

— You and Your Research

— Richard Hamming

2011.10.30 Sunday ACHK

時間管理 5.2

這段改編自 2010 年 3 月 6 日的對話。













— Me@2011.10.30

2011.10.30 Sunday (c) All rights reserved by ACHK

Brain | Computer

Modern computer chips handle data at the mind-blowing rate of some 10^13 bits per second. Neurons, by comparison, fire at a rate of around 100 times per second or so. And yet the brain outperforms the best computers in numerous tasks.

One reason for this is way computations take place. In computers, calculations occur in strict pipelines, one at a time.

In the brain, however, many calculations take place at once. Each neuron communicates with up to 1000 other neurons at any one time. And since the brain consists of billions neurons, the potential for parallel calculating is clearly huge.

— Massively Parallel Computer Built From Single Layer of Molecules

2011.10.30 Sunday ACHK


Mara: “You who go where others dare not; Will you be my God? The architect of my house?”

Siddharta: “Finally I meet the illusion of self; Your evil house will not be built again.”

Mara: “But you live in me; I am your house.”

Siddharta: “O, trickster; phantom of my own ego, you are pure illusion. You, self, do not exist. The earth is my witness to this Supreme Enlightenment.”

— Wikipedia on Little Buddha

2007.06.20 2011.10.29 Saturday ACHK

找例外 6.0

這段改編自 2010 年 5 月 18 日的對話。








中學的物理學,其實是廣義的物理學。它對應於大學的物理和工程。例如,「光纖之父」高錕先生,雖然不是物理學家,而是一位工程師,但他卻奪得了 2009 年的「諾貝爾物理學獎」。那是因為這兒的「物理」,是指廣義的物理,包括了物理和工程。

— Me@2011.10.29

2011.10.29 Saturday (c) All rights reserved by ACHK


Steven Paul “Steve” Jobs (February 24, 1955 – October 5, 2011)

= Apple Inc. + Pixar Animation Studios

Dennis MacAlistair Ritchie (b. September 9, 1941; found dead October 12, 2011)

= the C programming language + the UNIX operating system

John McCarthy (September 4, 1927 – October 24, 2011)

= Artificial Intelligence (AI) + the LISP programming language

— Me@2011.10.27

2011.10.27 Thursday (c) All rights reserved by ACHK

Idea babies 2

And just as Steve loved ideas, and loved making stuff, he treated the process of creativity with a rare and a wonderful reverence. You see, I think he better than anyone understood that while ideas ultimately can be so powerful, they begin as fragile, barely formed thoughts, so easily missed, so easily compromised, so easily just squished.

— Jonathan Ive

2011.10.27 Thursday ACHK


時間管理 5

這段改編自 2010 年 3 月 6 日的對話。







— Me@2011.10.27

2011.10.27 Thursday (c) All rights reserved by ACHK

Futurama 3

Farnsworth: These are the dark matter engines I invented. They allow my starship to travel between galaxies in mere hours.

Cubert: That’s impossible. You can’t go faster than the speed of light.

Farnsworth: Of course not. That’s why scientists increased the speed of light in 2208.

Cubert: Also impossible.

— A Clone of My Own

— Futurama

2011.10.26 Wednesday ACHK

Transcender 4.2

Transcender 2


The significant problems we have cannot be solved

at the same level of thinking with which we created them.

– Albert Einstein




2010.05.01 Saturday ACHK

碩士 2.3

這段改編自 2010 年 5 月 18 日的對話。




— Me@2011.10.26

2011.10.26 Wednesday (c) All rights reserved by ACHK

Principle of least time, 2

Principle of least action, 4

Indeed Fermat’s principle does not hold standing alone, we now know it can be derived from earlier principles such as Huygens’ principle. Historically, Fermat’s principle has served as a guiding principle in the formulation of physical laws with the use of variational calculus (see Principle of least action).

— Wikipedia on Fermat’s principle

Fermat’s principle is very similar to the principle of least action but the derivation of Fermat’s principle from the principle of least action is less straightforward than you might think.

— Lubos Motl

2011.10.26 Wednesday ACHK

Read more slowly, 2

這一點在閱讀數學書時,也要同樣留意。不能期望,可以以閱讀一般文章的速度,去理解數學公式。當一本數學書有 50 頁時,你千萬不要真的當它只有 50 頁。你要當它等同一本 500 頁的其他書。

Paul Graham 有一個意見是,你千萬不要以為那些數學公式是麻煩的起因。去除那些數學公式,反而會令那本數學書加長幾倍,因為沒有數學公式這種人工特製語言,你就要使用日常自然語言,例如中文,去描述同一堆意思。那會冗長非常。

例如,你要表達「加法交換性質」的話,本來寫「a + b = b + a」就可以。但是,如果不許用數學公式,你就要寫「兩個數相加,第一個數加第二個數之和,等於第二個數加第一個數之和。」

又例如,二次方程的解為 。沒有數學公式的話,你如何表達?

— Me@2011.10.25

2011.10.25 Tuesday (c) All rights reserved by ACHK

Background independence 2

String theory 7.2

Although the physics of string theory can in principle be background-independent, perturbative formulations of this theory do not make this independence manifest because they require starting with a particular solution and performing a perturbative expansion about this background. Non-perturbative formulations such as matrix theory and AdS/CFT resolve that issue and are fully background independent.

— This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed. (December 2010)

— Wikipedia on Background independence

2011.10.24 Monday ACHK

種子意念 7

Over the years, I’ve learned that the first idea you have is irrelevant. It’s just a catalyst for you to get started. Then you figure out what’s wrong with it and you go through phases of denial, panic, regret. And then you finally have a better idea and the second idea is always the important one.

— Arthur van Hoff

— Founders at Work

2011.10.24 Monday ACHK

碩士 2.2

這段改編自 2010 年 5 月 18 日的對話。




— Me@2011.10.24

To triumph we need results — publishable, applicable results.

– A Beautiful Mind (2001)

2011.10.24 Monday (c) All rights reserved by ACHK