lundi 21 février 2011

Fibonacci


Leonardo Pisano Bigollo also known as Leonardo Fibonacci or most commonly, simply Fibonacci, was an Italian mathematician. He was born in Pisa, Italy in 1170 and educated in North Africa, Leonardo was considered to be the greatest European mathematician of his time. Fibonacci is best known to the modern world because he introduced the Hindu Arabic number system to the western world through the publication in the early 13th century of his “Book of Calculation”, the Liber Abaci and for a number sequence named after him known as “Fibonacci numbers” which he didn’t discover but simply used as an example in the Liber Abaci.

One of Leonardo’s most famous experimemnts was trying to determine how fast rabbits could multiply in an ideal situation starting with a single pair of rabbits that give birth to another and so onc onsidering each new pair becomes productive the second month after birth.

The Fibonacci Series is a sequence of numbers, in the mathematics, the Fibonacci numbers are in the following integer sequence:

0,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987 and so on..

By definition, the first two numbers are 0 and 1, and each subsequent number is the sum of the previous two.

In mathematics, the sequence Fn of Fibonacci numbers is defined by the following relation:

Fn= the nth Fibonacci number

F0= 0

F1= F2= 1

Fn=Fn-1 + Fn-2

F(-n)= (-1)to the power of n-1 * Fn

Fibonacci numbers are used in the analysis of financial markets, in strategies such as Fibonacci retracement, and are used in computer algorithms such as the Fibonacci search technique and the Fibonacci heap data structure.

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