Fibonacci string - определение. Что такое Fibonacci string
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Что (кто) такое Fibonacci string - определение

INFINITE BINARY SEQUENCE GENERATED BY THE FIBONACCI RECURRENCE WITH CONCATENATION IN PLACE OF ADDITION
Rabbit sequence; Rabbit Sequence; Fibonacci string; Golden string; Fibonacci quasicrystal
  • Characterization by a [[cutting sequence]] with a line of [[slope]] <math>1/\varphi</math> or <math>\varphi-1</math>, with <math>\varphi</math> the [[golden ratio]].

Fibonacci Quarterly         
JOURNAL
The Fibonacci Quarterly; Fibonacci Q.; Fibonacci Q; Fibonacci Quart; Fibonacci Quart.
The Fibonacci Quarterly is a scientific journal on mathematical topics related to the Fibonacci numbers, published four times per year. It is the primary publication of The Fibonacci Association, which has published it since 1963.
Fibonacci sequence         
  • [[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
<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)
Fibonacci number         
  • [[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
In mathematics, the Fibonacci numbers, commonly denoted , form a sequence, the Fibonacci sequence, in which each number is the sum of the two preceding ones. The sequence commonly starts from 0 and 1, although some authors omit the initial terms and start the sequence from 1 and 1 or from 1 and 2.

Википедия

Fibonacci word

A Fibonacci word is a specific sequence of binary digits (or symbols from any two-letter alphabet). The Fibonacci word is formed by repeated concatenation in the same way that the Fibonacci numbers are formed by repeated addition.

It is a paradigmatic example of a Sturmian word and specifically, a morphic word.

The name "Fibonacci word" has also been used to refer to the members of a formal language L consisting of strings of zeros and ones with no two repeated ones. Any prefix of the specific Fibonacci word belongs to L, but so do many other strings. L has a Fibonacci number of members of each possible length.