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A new mathematical model of phyllotaxis to solve the genuine puzzle spiromonostichy. [PDF]
J Plant ResYonekura T, Sugiyama M.
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Some Notes on Odd or Even Indexed Fibonacci And Lucas Sequences
, 2019 Alparslan Kargin +2 more
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Fibonacci sequence and Fibonacci metallic superlattices
SPIE Proceedings, 1994In this paper, we review the research work in our group concerning the multi-component Fibonacci Sequence, Fibonacci metallic superlattices, as well as their structures, physical properties and applications.
Duan Feng, An Hu, Shusheng Jiang
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Fibonacci's multiplicative sequence
International Journal of Mathematical Education in Science and Technology, 2003ESCI
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Fibonacci Sequences in Groups [PDF]
Irish Mathematical Society Bulletin, 2005 When this sequence is periodic, its fundamental period is called the Fibonacci length of (x1, x2) in G. When G is a finite 2-generator group, the minimum of these lengths over all generating pairs defines an invariant λ(G) of G. After briefly listing some known results, we launch the quest for infinite groups of finite Fibonacci length by giving three ...
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1972
In this chapter we review some of the basic ideas connected with Fibonacci sequences and present a few illustrative examples. We show how Fibonacci sequences occur in Pascal's triangle and in sequences of plus and minus signs. Then we illustrate how Fibonacci sequences occur in applications by two examples, counting (fertile) hares and in finding ...
Gerald Berman, K.D. Fryer
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In this chapter we review some of the basic ideas connected with Fibonacci sequences and present a few illustrative examples. We show how Fibonacci sequences occur in Pascal's triangle and in sequences of plus and minus signs. Then we illustrate how Fibonacci sequences occur in applications by two examples, counting (fertile) hares and in finding ...
Gerald Berman, K.D. Fryer
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On a probabilistic analogue of the Fibonacci sequence
Journal of Applied Probability, 1980One of the earliest population models to be studied gives rise to the Fibonacci sequence and has a history dating back more than 750 years. A stochastic version of the model is discussed in this paper, its basic defining property being E(Xn | Xn −1, · ··, X 0) = Xn −1 + Xn
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The Mathematics Teacher, 1970
The Fibonacci sequence, 1, 1, 2, 3, 5, 8, 13, …, is generated by finding the sum of two consecutive terms to obtain the next term.
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The Fibonacci sequence, 1, 1, 2, 3, 5, 8, 13, …, is generated by finding the sum of two consecutive terms to obtain the next term.
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The Fibonacci–Circulant Sequences and Their Applications
Iranian Journal of Science and Technology, Transactions A: Science, 2017In this paper, we define the recurrence sequences using the Circulant matrices which are obtained from the characteristic polynomial of the Fibonacci sequence, and then, we give miscellaneous properties of these sequences. In addition, we consider the cyclic groups which are generated by the generating matrices and the auxiliary equations of the ...
KARADUMAN, Erdal +2 more
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Generalized Fibonacci Sequences
The Mathematics Teacher, 2000Everyone loves the Fibonacci sequence. It is easy to describe, yet it gives rise to a vast amount of substantial mathematics. Physical applications and connections with various branches of mathematics abound. What could be better, unless someone told us that the Fibonacci sequence is but one member of an infinite family of sequences that we could be ...
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