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Fibonacci$500692$ - перевод на Английский

UNIVERSAL CODE
Fibonacci code; Fibonacci representation; Fibonacci encoding

Fibonacci      
n. matematico italiano secondo il cui nome sono chiamati i numeri Fibonacci (serie in cui ogni cifra è la somma delle due precedenti)
Fibonacci numbers         
  • [[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)
  • 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"/>)
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
numeri di Fibonacci (in Matematica), serie di numeri infiniti in cui ogni elemento è la somma dei due numeri precedenti qualora i primi numeri sono 1 o 0
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
Leonardo Fibonacci (1170-1240) matematico italiano che ha formulato del concetto omonimo in matematica

Определение

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)

Википедия

Fibonacci coding

In mathematics and computing, Fibonacci coding is a universal code which encodes positive integers into binary code words. It is one example of representations of integers based on Fibonacci numbers. Each code word ends with "11" and contains no other instances of "11" before the end.

The Fibonacci code is closely related to the Zeckendorf representation, a positional numeral system that uses Zeckendorf's theorem and has the property that no number has a representation with consecutive 1s. The Fibonacci code word for a particular integer is exactly the integer's Zeckendorf representation with the order of its digits reversed and an additional "1" appended to the end.