Teach Yourself Programming in Ten Years

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Researchers have shown it takes about ten years to develop expertise in any of a wide variety of areas, including chess playing, music composition, telegraph operation, painting, piano playing, swimming, tennis, and research in neuropsychology and topology.

The key is deliberative practice: not just doing it again and again, but challenging yourself with a task that is just beyond your current ability, trying it, analyzing your performance while and after doing it, and correcting any mistakes. Then repeat. And repeat again.

There appear to be no real shortcuts: even Mozart, who was a musical prodigy at age 4, took 13 more years before he began to produce world-class music.

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— Teach Yourself Programming in Ten Years, Peter Norvig

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2009.01.10 Saturday ACHK

River

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A wise person’s knowledge is

like river that never runs dry,

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like an ever-flowing stream

of good advice.

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— by ???

— Collected by me, 2001.04.11

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2009.01.09 Friday ACHK

Beauty 2

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To those who do not know mathematics it is difficult to get across a real feeling as to the beauty, the deepest beauty, of nature … If you want to learn about nature, to appreciate nature, it is necessary to understand the language that she speaks in.

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— The Character of Physical Law (1965) Ch. 2, by Richard Feynman

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2008.12.31 Wednesday ACHK

Relativity

相對論

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Lorentz had the mathematics,
Poincare had the philosophy,

but

Einstein had the physics.

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— C. N. Yang

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To come very near to a true theory
and to grasp its precise application,
are two very different things,
as the history of science teaches us.

Every thing of importance has been said
before by somebody who did not discover it.

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— A. N. Whitehead, in The Organization of Thought, Greenwood Press, 1978, p.127

— C. N. Yang

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2008.12.13 Saturday ACHK

數學詩

迴文詩

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春晚落花餘碧草,夜涼低月半梧桐。人隨雁遠邊城暮,雨映疏簾繡閣空。

空閣繡簾疏映雨,暮城邊遠雁隨人。梧桐半月低涼夜,草碧餘花落晚春。

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— 蘇軾‧七絕‧題織錦圖

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2008.12.13 Saturday ACHK

坐標幾何

《方法論》(Discours de la methode)

是笛卡兒在1637年出版的著名哲學論著,對西方人的思維方式,思想觀念和科學研究方法有極大的影響.

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笛卡兒在方法論中指出,研究問題的方法分四個步驟:

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1. 永遠不接受任何我自己不清楚的真理,

就是說只要沒有經過自己切身體會的問題,不管有什麼權威的結論,都可以懷疑。

例如亞里士多德曾下結論說,女人比男人少兩顆牙齒。但事實並非如此。

2. 可以將要研究的複雜問題,盡量分解為多個比較簡單的小問題,一個一個地分開解決。

3. 將這些小問題從簡單到複雜排列,先從容易解決的問題著手。

4. 將所有問題解決後,再綜合起來檢驗,看是否完全,是否將問題徹底解決了。

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直到阿波羅1號登月工程的出現,科學家們才發現,有的複雜問題無法分解,必須以複雜的方法來對待,因此導致系統工程的出現,方法論的方法才第一次被綜合性的方法所取代。

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笛卡兒在方法論中還第一次提出「我思,故我在」的名言,第一次引入笛卡兒坐標系。對牛頓和萊布尼茨發明微積分理論有很大的作用。

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— 維基百科, edited by Me

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坐標幾何只是《方法論》附錄中的一個例子.

但是, 到了最後, 世人只知這個例子, 而不知原本的方法論.

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–Me

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2008.12.10 Wednesday copyright ACHK

1/7

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142857 × 1 = 142857
142857 × 2 = 285714
142857 × 3 = 428571
142857 × 4 = 571428
142857 × 5 = 714285
142857 × 6 = 857142
142857 × 7 =

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2008.12.03 Wednesday ACHK

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A human being should be able to change a diaper, plan an invasion, butcher a hog, conn a ship, design a building, write a sonnet, balance accounts, build a wall, set a bone, comfort the dying, take orders, give orders, cooperate, act alone, solve equations, analyze a new problem, pitch manure, program a computer, cook a tasty meal, fight efficiently, die gallantly. Specialization is for insects.

— Robert A. Heinlein

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2008.10.14 Tuesday CHK_2

時間長度

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一剎那者為一念,二十念為一瞬,二十瞬為一彈指,二十彈指為一羅預,二十羅預為一須臾,一日一夜有三十須臾。

— 佛教梵典《僧只律》

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推算:

86400秒=一晝夜=30須臾=600羅預

=12000彈指=240000瞬間=4800000剎那

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換算成秒數:

一「須臾」=2880秒(48分鐘)
一「彈指」=7.2秒
一「瞬間」=0.36秒
一「剎那」=一「念」之間=0.018秒

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— 改篇自維基百科

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2008.08.28 Thursday copyright CHK^2

生物時間論

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年紀越大, 時間走得越快,

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原因有二:

一個是數學原因,

一個是生物學原因.

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數學時間論

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生物時間論

( 改篇自BBC紀錄片<<Supersenses>> )

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人的年紀越大, 身體的新陳代謝率會降低, 而心跳也會減慢.

自己內在的生理時鐘越慢,

相對來說, 外在事件的節奏就會顯得越快.

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2008.08.13 Wednesday copyright CHK^2

數學時間論

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年紀越大, 時間走得越快,

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原因有二:

一個是數學原因,

一個是生物學原因.

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數學時間論

(改篇自 <<Faster>> 和一位大學同學的說法)

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數學時間論 (中學版)

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由十歲長至十一歲, 人生經歷多了十分之一.

但是由八十歲到八十一歲, 人生經歷只是多了八十分之一.

同樣是一年,

對一個十歲的人是長時間,
對一個八十歲的人來說卻是短時間.

結果,

二十歲到四十歲那段時間

就好像

十歲到二十歲那段時間過得那麼快;

四十歲到八十歲的那段時間,

又會好像

二十歲到四十歲的那段時過得那麼快.

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2008.08.12 Tuesday copyright CHK^2

三一萬能俠

網誌分類: 播種心田 | 網誌日期: 2007-02-12 21:09

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State 1:

Physics

Pure Maths, Applied Maths

State 2:

Pure Maths

Physics, Applied Maths

State 3:

Applied Maths

Pure Maths, Physics

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This is about my A-level period. That period is the most amazing moments of my life. I still cannot get that time back.

2008.05.18 Sunday \copyright CHK^2