Fibonacci numbers - traducción al Inglés
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Fibonacci numbers - traducción al Inglés

ENTIRE INFINITE INTEGER SERIES WHERE THE NEXT NUMBER IS THE SUM OF THE TWO PRECEDING IT (0,1,1,2,3,5,8,13,21,...)
Fibonacci number; Fibonacci series; Fibonacci Series; Gopala (mathematician); Gopala–Hemachandra number; Binet's formula; Fibonnaci numbers; Tetranacci constant; Tetranacci Constant; Fibbonaci Series; Binet's Equation; Fibonacci Sequence; Binet's fibonacci number formula; Binet's Fibonacci number formula; Binet's Fibonacci Number Formula; Hemachandra number; Gopala-Hemachandra numbers; Hemachandra numbers; Fibinochi numbers; Fibonacci Number Sequence; Fibonacci chain; Fibonacci numbers; Fibonacci Number; Fibonacci Numbers; Binet formula; Fibonacci squence; 1123581321; Fibonocci sequence; Fibonocci number; Fibonnaci Sequence; Fibonacci fractal; Fibonnacci sequence; Fibonacci ratio; Fibonacci rabbit; Fibonacci Rabbits; Fibonacci tree; Fibonacci's Number; Fibonaccis Number; Fibonacci Tree; Gopala-Hemachandra sequence; Gopala-Hemachandra number; A000045
  • [[Yellow chamomile]] head showing the arrangement in 21 (blue) and 13 (cyan) spirals. Such arrangements involving consecutive Fibonacci numbers appear in a wide variety of plants.
  • In a growing idealized population, the number of rabbit pairs form the Fibonacci sequence. At ''the end of the n''th month, the number of pairs is equal to ''F<sub>n.</sub>''
  • Thirteen (''F''<sub>7</sub>) ways of arranging long and short syllables in a cadence of length six. Eight (''F''<sub>6</sub>) end with a short syllable and five (''F''<sub>5</sub>) end with a long syllable.
  • The Fibonacci spiral: an approximation of the [[golden spiral]] created by drawing [[circular arc]]s connecting the opposite corners of squares in the Fibonacci tiling; (see preceding image)
  • A tiling with [[square]]s whose side lengths are successive Fibonacci numbers: 1, 1, 2, 3, 5, 8, 13 and 21.
  • 260x260px
  • Balance factor]]s green; heights red.<br />The keys in the left spine are Fibonacci numbers.
  • {1,&thinsp;2}-restricted}} compositions
  • Successive tilings of the plane and a graph of approximations to the golden ratio calculated by dividing each Fibonacci number by the previous
  • Biblioteca Nazionale di Firenze]] showing (in box on right) 13 entries of the Fibonacci sequence:<br /> the indices from present to XII (months) as Latin ordinals and Roman numerals and the numbers (of rabbit pairs) as Hindu-Arabic numerals starting with 1, 2, 3, 5 and ending with 377.
  • The Fibonacci numbers are the sums of the "shallow" diagonals (shown in red) of [[Pascal's triangle]].
  • ''n'' {{=}} 1 ... 500}}
  • The number of possible ancestors on the X chromosome inheritance line at a given ancestral generation follows the Fibonacci sequence. (After Hutchison, L. "Growing the Family Tree: The Power of DNA in Reconstructing Family Relationships".<ref name="xcs"/>)

Fibonacci numbers         
Fibonacci nummers (in wiskunde), serie v. oneindige getallen, waarbij elk onderdeel een totaal van de hem twee voorafgaande nummers is en de eerste onderdelen 0 en 1 (naar naam van wiskundige Ficonacci)
Leonardo Fibonacci         
ITALIAN MATHEMATICIAN (C. 1175)
Leonardo Fibonacci; Leonardo Pisano; Leonardo da Pisa; Fibbonacci; Leonardo Fibonacci of Pisa; Fibonnaci; Leonardo da Pisa Fibonacci; Fibonnacci; Leonardo Fibonacci Pisano; Leonardo of Pisa; Fibinocci; Leonard of Pisa; Fibonachi; Fibonocci; Leonardo Bonacci; FIBONACCI Leonardo; Leonardo Pisano Bigollo; Leonardo de Pisa; Leonardo Pisano Fibonacci's Number Sequence; Fibonaccian; Flos (book); Leonardo Fibonacci,; Leonardo Pisano Bigollo Fibonacci; Fibbonaci; Fibonaci; Leonardo Bigollo Pisano
(1170-1240) Italiaanse wiskundige naar wie het concept van Fibonaccinummers is genoemd
Book of Numbers         
  • [[Priest]], [[Levite]], and furnishings of the [[Tabernacle]]
  • [[Balaam]] and the Angel (illustration from the 1493 ''[[Nuremberg Chronicle]]'')
FOURTH BOOK OF THE BIBLE
Num.; Numbers (book of Bible); Numbers, Book of; Book of numbers; Book of Num.; Book Of Numbers; The Book of Numbers; Numbers 30; Numbers 32; Numbers 6; Numbers 16; Numbers 34; Numbers 26; Numbers 27; Numbers 36; Numbers 35; Numbers 22; Numbers 24; Numbers 28; Numbers 3; Numbers 29; Numbers 14; Numbers 7; Numbers 4; Numbers 23; Numbers 17; Numbers 19; Numbers 12; Numbers 20; Numbers 8; Numbers 18; Numbers 9
Boek van Numeri

Definición

Fibonacci sequence
<mathematics> The infinite sequence of numbers beginning 1, 1, 2, 3, 5, 8, 13, ... in which each term is the sum of the two terms preceding it. The ratio of successive Fibonacci terms tends to the {golden ratio}, namely (1 + sqrt 5)/2. [Why not "Fibonacci series"?] (2002-10-15)

Wikipedia

Fibonacci sequence

In mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted Fn. The sequence commonly starts from 0 and 1, although some authors start the sequence from 1 and 1 or sometimes (as did Fibonacci) from 1 and 2. Starting from 0 and 1, the first few values in the sequence are:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.

The Fibonacci numbers were first described in Indian mathematics, as early as 200 BC in work by Pingala on enumerating possible patterns of Sanskrit poetry formed from syllables of two lengths. They are named after the Italian mathematician Leonardo of Pisa, also known as Fibonacci, who introduced the sequence to Western European mathematics in his 1202 book Liber Abaci.

Fibonacci numbers appear unexpectedly often in mathematics, so much so that there is an entire journal dedicated to their study, the Fibonacci Quarterly. Applications of Fibonacci numbers include computer algorithms such as the Fibonacci search technique and the Fibonacci heap data structure, and graphs called Fibonacci cubes used for interconnecting parallel and distributed systems. They also appear in biological settings, such as branching in trees, the arrangement of leaves on a stem, the fruit sprouts of a pineapple, the flowering of an artichoke, an uncurling fern, and the arrangement of a pine cone's bracts.

Fibonacci numbers are also strongly related to the golden ratio: Binet's formula expresses the nth Fibonacci number in terms of n and the golden ratio, and implies that the ratio of two consecutive Fibonacci numbers tends to the golden ratio as n increases. Fibonacci numbers are also closely related to Lucas numbers, which obey the same recurrence relation and with the Fibonacci numbers form a complementary pair of Lucas sequences.

Ejemplos de uso de Fibonacci numbers
1. Fibonacci numbers are used by technical analysts to determine price objectives from percentage retracements, or market corrections.
2. Interest in Fibonacci numbers as a way of forecasting markets started in the 1'30s, with a stock–picking newsletter written by accountant Ralph Nelson Elliott.
3. Elliott developed his own technical analysis theory based on Fibonacci numbers called Elliott wave analysis – which says that the market follows a repetitive pattern with each cycle made up of a five–wave rise followed by a three–wave fall.