第 N 減 1 步

背誦製成品 10

這段改編自 2012 年 12 月 2 日的對話。

這一題用這個方法,就可以輕易完成。

(A:真的嗎?好像很難會想得到。)

你覺得很難,正正是因為你以為,需要由自己想得到。但是,現在我並不是要求你自己創作方法,而是要求你記得我教你的方法,然後在考試時見到同類題目時,可以高速拿出來運用。

情形就製作三文治前,我叫你準備材料,例如兩片麵包。如果你問:「真的嗎?好像很難才會弄到一片麵包。試想想,由種小麥開始,到製成一片麵包,有很多工序,很辛苦啊!」

我就會答:「但是,現在我並不是要求你,自己製作麵包,而是要求你,先買兩片麵包回來,然後用來製作三文治。」

記住,正常的考試,並不會要求你,由起點「第一步」開始,走到目的地「第 N 步」。大概而言,考試只會要求你由「第 N – 1 步」,走到「第 N 步」。只要你肯先行背誦,常用的高深方法,你在考試作答題目時,就可以由「第 N – 1 步」開始,輕易走到「第 N 步」。

— Me@2012.12.02

2012.12.03 Monday (c) All rights reserved by ACHK

Bell’s theorem, 5

De Broglie–Bohm theory, 4

[guess]

The spirit of de Broglie–Bohm theory is non-local realism.

The particles can be regarded as being “actually” in eigenstates with respect to any variables, even before any measurements, as long as somehow, we take into account the fact that each particle is influenced by all other particles in the universe, creating the “illusion” of superposition of eigenstates.

— Me@2012.12.01

2012.12.03 Monday (c) All rights reserved by ACHK

Results

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Mathematicians won the war.

Mathematicians broke the Japanese codes and built the A-bomb.

Mathematicians… like you.

In medicine or economics,

in technology or in space,

battle lines are being drawn.

To triumph we need results — publishable, applicable results.

Now, who among you will be the next Morse,

the next Einstein?

Who among you will be the vanguard of democracy, freedom and discovery?

Today we bequeath America’s future into your able hands.

Welcome to Princeton, gentlemen.

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– A Beautiful Mind (2001)

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2009.09.11 Friday ACHK