Fraction Tree, Fibonacci Sequence and Continued Fractions

Fraction Tree, Fibonacci Sequence and Continued Fractions

In this paper, the concept of fraction tree is introduced. This fraction tree has profound consequences both in mathematical sub-disciplines and other branches of science and technology. In this paper, we shall witness the connection of fraction tree with that of Fibonacci sequence and relate the te...

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Veröffentlicht in:Journal of physics. Conference series 2021-08, Vol.1979 (1), p.12039
1. Verfasser: Sivaraman, R.
Format: Artikel
Sprache:eng
Schlagworte:
Continued Fractions
Fibonacci numbers
Fibonacci Sequence
Fraction Tree
Left and Right Child
Positive Rational Numbers
Sequences
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Zusammenfassung:In this paper, the concept of fraction tree is introduced. This fraction tree has profound consequences both in mathematical sub-disciplines and other branches of science and technology. In this paper, we shall witness the connection of fraction tree with that of Fibonacci sequence and relate the terms of the fraction tree with continued fractions.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1979/1/012039