an exercise in miscellany

Fibonacci numbers

In money, technology & innovatons on April 22, 2011 at 12:54 pm

In mathematics, the Fibonacci numbers are the numbers in the following integer sequence: 0,\;1,\;1,\;2,\;3,\;5,\;8,\;13,\;21,\;34,\;55,\;89,\;144,\; \ldots\;
The Fibonacci sequence is named after Leonardo of Pisa, who was known as Fibonacci. Fibonacci’s 1202 book Liber Abaci introduced the sequence to Western European mathematics, although the sequence had been described earlier in Indian mathematics.
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. The simple recursion of Fibonacci numbers has also inspired a family of recursive graphs called Fibonacci cubes for interconnecting parallel and distributed systems. They also appear in biological settings,such as branching in trees, arrangement of leaves on a stem, the fruit spouts of a pineapple,the flowering of artichoke, an uncurling fern and the arrangement of a pine cone.

via Fibonacci number


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