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The Da Vinci Code《達?芬奇密碼》(精講之二)
[ 2007-09-14 16:55 ]

 

影片對白  He brought you here to force a confession, Professor Langdon.

 

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Fibonacci sequence 斐波那契數列

“斐波那契數列”的發明者,是意大利數學家列昂納多?斐波那契(Leonardo Fibonacci,生于公元1170年,籍貫是比薩,卒于1240年后)。他還被人稱作“比薩的列昂納多Leonardo of Pisa”。

他的父親被比薩的一家商業團體聘任為外交領事,派駐地點相當于今日的阿爾及利亞地區,列昂納多因此得以在一個阿拉伯老師的指導下研究數學。他還曾在埃及、敘利亞、希臘、西西里和普羅旺斯研究數學。

Leonardo Fibonacci introduced to Europe and popularized the Hindu-Arabic number system (also called the decimal system十進位數字系統). He contributed greatly to number theory, and during his life published many important texts, including Liber abbaci 《珠算原理》(1202), Practica geometriae 《實用幾何》(1220) and Liber quadratorum 《象限儀書》(1225).

He is also known for the Fibonacci Series (Fibonacci sequence), a numerical series found frequently in the natural world. Beginning with two 1's, each new term is generated as the sum of the previous two: 1, 1, 2, 3, 5, 8, 13, … The 13th-century mathematician Leonardo of Pisa (c. 1170 – after 1240), also known as Fibonacci, discovered the sequence but did not explore its uses, which have turned out to be wide and various. For example, the number of petals in most types of flowers and numbers involved in branching and seed-formation patterns come from the Fibonacci sequence. The ratio of any two successive terms approaches the value of the golden ratio as the terms become large.

該數列有很多奇妙的屬性,比如:隨著數列項數的增加,前一項與后一項之比越逼近黃金分割0.6180339887……

還有一項性質,從第二項開始,每個奇數項的平方都比前后兩項之積少1,每個偶數項的平方都比前后兩項之積多1。

如果你看到有這樣一個題目:某人把一個8*8的方格切成四塊,拼成一個5*13的長方形,故作驚訝地問你:為什么64=65?其實就是利用了斐波那契數列的這個性質:5、8、13正是數列中相鄰的三項,事實上前后兩塊的面積確實差1,只不過后面那個圖中有一條細長的狹縫,一般人不容易注意到。

斐波那契數列又因數學家列昂納多?斐波那契以兔子繁殖為例子而引入,故又稱為“兔子數列”。

考考你

將下面的句子譯成漢語。

1. Apparently, it was his dying wish that we meet. If you help me understand why, I will get you to your embassy, where we cannot arrest you.

2. Fache was never gonna let me just stroll out of here, was he?

The Da Vinci Code《達?芬奇密碼》(精講之一)考考你 參考答案

1. 伊拉克和談將在芬蘭結束。

Iraq peace talks draw to a close in Finland.

2. 使用一些能幫你“加強重點”的技巧。

Use techniques that will help you "stay on message."

 

影片對白  He brought you here to force a confession, Professor Langdon.

 

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(英語點津Annabel編輯)

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