* The best doctors found a middle position where the were neither overwhelmed by their feelings nor estranged from them. That was the most difficult position of all, and the precise balance — neither too detached nor too caring — was something few learned.
* — Travels (1988) Michael Crichton
2012.02.12 Sunday ACHK
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Russell on writing
“I conscientiously tried this, but found that my first draft was almost always better than my second. This discovery has saved me an immense amount of time. I do not, of course, apply it to the substance, but only to the form. When I discover an error of an important kind I re-write the whole. What I do not find is that I can improve a sentence when I am satisfied with what it means. “
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On Russell’s writing
“Russell left a large assortment of writing. From his adolescent years, Russell wrote about 3,000 words a day, in long hand, with relatively few corrections; his first draft nearly always was his last draft, even on the most complex, technical matters. “
– Wikipedia
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2008.04.25 Friday ACHK
Those in the print media who dismiss the writing online because of its low average quality are missing an important point: no one reads the average blog. In the old world of channels, it meant something to talk about average quality, because that’s what you were getting whether you liked it or not. But now you can read any writer you want. So the average quality of writing online isn’t what the print media are competing against. They’re competing against the best writing online. And, like Microsoft, they’re losing.
— What Business Can Learn from Open Source
— Paul Graham
2012.02.12 Sunday ACHK
Layer, 3 | 水平 7 | Onion self 5
The deeper the consciousness, the more powerful it is.
— Me@2010.08.06
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| The diagram is not the truth. Instead, it is an analogy. It is a model only. |
The deepest self is the universe.
— Me@2012-01-16 2:20:19 AM
The diagram is not the truth. Instead, it is an analogy. It is a model only.
— Me@2012.02.11
2012.02.11 Saturday (c) All rights reserved by ACHK
Binomial coefficient 1.2
這段改編自 2010 年 5 月 25 日的對話。
其實，你毋須透過任何複雜的運算（例如「數學歸納法」），而單靠簡單的思考推理，都可以嚴謹推導得到，只要你對「二項式定理」和「nCr」的 physical meaning（實質意義）足夠了解便行。
首先，你要知道，因為 (x+y)^4 本身是 4 次方，所以展開以後，每一項也是 4 次方的，即是由 4 個英文字母相乘而成。分別是，每一項的 4 個英文字母之中，x 的數目不同。而 y 的數目，亦會項項不同，因為 y 的數目，等於 4 減 x 的數目。例如，有 3 個 x 相乘的話，該項就同時有 1 個 y 。
那樣，總共有多少項是由 3 個 x 和 1 個 y 相乘而成的呢？
其中一種方法是，直接展開 (x+y)^4，把全部 16 項也列出來：
(x+y)^4
= (x + y)(x + y)(x + y)(x + y)
= … + xxxy + … + xxyx + … + xyxx + … + yxxx + …
16 項之中，總共有 4 項，是由 3 個 x 和 1 和 y 組成的。結論是，x^3 y 的係數是 4。
更好的方法是，靠簡單的推理：
每一項也是 4 次方，即是有 4 個空格要填。
＿＿＿＿
4 個空格之中，要填 3 個 x，總共有多少個填法呢？
答案明顯是 4C3，即是「4 選 3」，等於 4。結論是，x^3 y 的係數是 4。
— Me@2012.02.11
2012.02.11 Saturday (c) All rights reserved by ACHK
In quantum information theory, quantum discord is a measure of nonclassical correlations between two subsystems of a quantum system. It includes correlations that are due to quantum physical effects but do not necessarily involve quantum entanglement.
… quantum correlations can be present in certain mixed separable states; In other words, separability alone does not imply the absence of quantum effects. The notion of quantum discord thus goes beyond the distinction which had been made earlier between entangled versus separable (non-entangled) quantum states.
Nonzero quantum discord indicates the presence of correlations that are due to noncommutativity of quantum operators. For pure states, the quantum discord becomes a measure of quantum entanglement, more specifically, in that case it equals the entropy of entanglement.
Evidence has been provided for poignant differences between the properties of quantum entanglement and quantum discord. It has been shown that quantum discord is more resilient to dissipative environments than is quantum entanglement.
… surprisingly, the classical correlation actually decreases as the quantum discord increases.
— Wikipedia on Quantum discord
[Quantum discord is] the amount of entanglement needed in the task of state-merging.
— Jun 10 ’11 at 13:32
— Frederic Grosshans
2012.02.10 Friday ACHK
Your twenties are always an apprenticeship, but you don’t always know what for.
– Jan Houtema
2012.02.10 Friday ACHK
種子論起點 10.3.4 | 網誌時代 12.3.4
這段改編自 2010 年 3 月 20 日的對話。
（安：坊間有很多書籍，一本只有幾個「思考單位」。它只不過是將每個「思考單位」，化成一篇長一點的文章。然後，再由一篇文章化成（例如）三篇文章。而那三篇文章來來去去，其實，也只是在講述那同一個「思考單位」。）
我不是在描述這個現象。
（安：我想講的是，如果你有很多個「思考單位」，而你又想放它們的大部分，於同一本書的話，寫那本書，將會是一項十分艱鉅的任務。你剛才描述的策略，正正可以化解這個難題。）
— Me@2012.02.10
2012.02.10 Friday (c) All rights reserved by ACHK
In physics and mathematics, mirror symmetry is a relation that can exist between two Calabi-Yau manifolds. It happens, usually for two such six-dimensional manifolds, that the shapes may look very different geometrically, but nevertheless they are equivalent if they are employed as hidden dimensions of string theory. The classical formulation of mirror symmetry relates two Calabi-Yau threefolds M and W whose Hodge numbers h1,1 and h1,2 are swapped; string theory compactified on these two manifolds lead to identical effective field theories.
… Andrew Strominger, Shing-Tung Yau, and Eric Zaslow have showed that mirror symmetry is a special example of T-duality: the Calabi-Yau manifold may be written as a fiber bundle whose fiber is a three-dimensional torus. The simultaneous action of T-duality on all three dimensions of this torus is equivalent to mirror symmetry.
— Wikipedia on Mirror symmetry (string theory)
2012.02.10 Friday ACHK
Everyone is not a part of the universe, but the whole of the universe.
Everyone is a layer of the universe.
— Me@2012-02-06 11:31:17 PM
2012.02.09 Thursday (c) All rights reserved by ACHK
Binomial coefficient 1.1
這段改編自 2010 年 5 月 25 日的對話。
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| Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. |
Binomial theorem（二項式定理）的意思是，例如，
(x+y)^4 = x^4 + 4 x^3 y + 6 x^2 y^2 + 4 x y^3 + y^4
那些係數（1, 4, 6, 4, 1），為什麼會剛巧等如（4C0, 4C1, 4C2, 4C3, 4C4）呢？
其實，你毋須透過任何複雜的運算（例如「數學歸納法」），而單靠簡單的思考推理，都可以嚴謹推導得到，只要你對「二項式定理」和「nCr」的 physical meaning（實質意義）足夠了解便行。
— Me@2012.02.09
2012.02.09 Thursday (c) All rights reserved by ACHK
… systems somehow function as wholes and that their functioning cannot be fully understood solely in terms of their component parts.
— Wikipedia on Holism
Correction:
Actually it can. But to determine the behavior of each component, you have to examine of the effects of all other components on it, which is possible in principle, although maybe difficult in practice.
In this sense, there is no conflict between holism and reductionism. Instead, they support each other.
— Me@2011.11.29
2012.02.08 Wednesday (c) All rights reserved by ACHK
「以前」是廢話，因為不會有「將來」拍下的照片；
「拍下的」都是廢話。
— Me@2011.01.01
2012.02.08 Wednesday (c) All rights reserved by ACHK
種子論起點 10.3.3 | 網誌時代 12.3.3
這段改編自 2010 年 3 月 20 日的對話。
我的文章的特點是，發表以後，就不再作任何修訂。如果我的新文章和舊文章有互動，也只會是被放在一起。
另一個特點是，每篇短文章，只會有一個主要的思考單位。那樣，只要每次選擇一些短文章，把它們放在一起，就自動可以組合成，各式各樣的大文章，而毋須作任何的修改，除了極輕微的剪接外。
甚至，這個工序，並不一定要由我親自完成。
— Me@2012.02.08
2012.02.08 Wednesday (c) All rights reserved by ACHK
Haskell is a standardized, general-purpose purely functional programming language, with non-strict semantics and strong static typing. It is named after logician Haskell Curry. In Haskell, “a function is a first-class citizen” of the programming language. As a functional programming language, the primary control construct is the function. The language is rooted in the observations of Haskell Curry and his intellectual descendants, that “a proof is a program; the formula it proves is a type for the program“.
— Wikipedia on Haskell (programming language)
2012.02.07 Tuesday ACHK
人一日未找到，自己的無限旅程，一日都會很難過。
— Me@2012.02.05
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2012.02.07 Tuesday (c) All rights reserved by ACHK
這段改編自 2010 年 5 月 25 日的對話。
避免犯錯的方法是，在平時先錯一次。
那樣，考試時，你就不會再犯同一個錯誤。
— Me@2012.02.07
2012.02.07 Tuesday (c) All rights reserved by ACHK
Holism
Holism is the idea that natural systems (physical, biological, chemical, social, economic, mental, linguistic, etc.) and their properties, should be viewed as wholes, not as collections of parts. This often includes the view that systems somehow function as wholes and that their functioning cannot be fully understood solely in terms of their component parts.
Reductionism is sometimes seen as the opposite of holism. Reductionism in science says that a complex system can be explained by reduction to its fundamental parts. For example, the processes of biology are reducible to chemistry and the laws of chemistry are explained by physics.
— Wikipedia on Holism
2012.02.06 Monday ACHK
Batman Begins, 2
本質先於存在
我在買零件組裝電腦前，心目中，會對那部電腦的性能有所要求，例如它的運算速度有多高。換句話說，那部電腦在存在之前，就已經擁有自己的性質。那就為之「本質先於存在」。
— Me@2012.02.06
存在先於本質
其最著名和最明確的倡議，是沙特的格言：「存在先於本質」。他的意思是，除了人的生存之外，並沒有天經地義的道德或靈魂。道德和靈魂，都是人在生存中創造出來的。人沒有義務遵守，某個道德標準或宗教信仰，卻有選擇的自由。要評價一個人，就要評價他的所作所為，而不是評價他是個什麼人物，因為一個人，是由他的行動來定義的。
— 改編自《維基百科》
2012.02.06 Monday (c) All rights reserved by ACHK
種子論起點 10.3.2 | 網誌時代 12.3.2 | 專家博士（製作特輯）3
這段改編自 2010 年 3 月 20 日的對話。
每次寫文章時，我會採取「最低消費」策略：在文章內容的發展上，見步行步，行步見步。
每次聽錄音，抄錄自己的對話時，只要「集齊」一個要點，我就會停筆，立刻發表。該篇文章之後的「劇情」如何發展，我會暫時置之不理。我不會刻意去理會，未來的文章，會與手頭上的文章，將會如何互動。
那樣做，就可以化解了剛才所提，寫文章的兩大難題：
寫文章雖然有趣，但同時令人厭惡。每次寫得越少，厭惡的程度就會越細。
一篇文章的思考單位越多，就越難組合得正確而優美。如果每篇也只有一個主要的思考單位，就容易組合得多，因為根本毋須「組合」。有時，解決問題的最好方法是，令自己根本毋須解決那個問題。
另外，一篇文章發表以後，我就不會再修改，除非有明顯的錯別字。如果事後發現有嚴重的思想漏洞，我會索性把該篇文章刪除。
每一篇文章，我也視之為最後的一個版本。人生苦短，假設我每日寫一篇文章，一生人就只可以寫到三萬多篇。與其留戀舊文章，倒不如，花那些時間去創作新文章，傳播新思想。
額外的好處是，凝固已寫的文章，一方面，往後的文章不會被它「滋擾」：寫新文章時，我毋須考慮，那些新思想，對舊文章有什麼影響，因為，我根本不打算去修改它。
另一方面，文章一凝固了，就可以化身成，往後文章的基礎：每一篇文章的內容，會自動成為下一篇內容的種子。每一篇的終結，會自動成為下一篇的起點。
— Me@2012.02.06
2012.02.06 Monday (c) All rights reserved by ACHK
Physics Town 
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