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The Fibonacci Numbers: Exposed
Mathematics Magazine, 2003Among numerical sequences, the Fibonacci numbers Fn have achieved a kind of celebrity status. Indeed, Koshy gushingly refers to them as one of the "two shining stars in the vast array of integer sequences" [16, p. xi]. The second of Koshy's "shining stars" is the Lucas numbers, a close relative of the Fibonacci numbers, about which we will say more ...
Robert Mena, Dan Kalman
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Fibonacci Number, Golden Ratio and their Connection to Different Floras
International Journal of Mathematics Trends and Technology, 2018Mathematics has its great application in expression of natural beauty of living organisms. Many floras and faunas express different mathematical formulas such as Fibonacci numbers, golden spirals etc. in different structures.
Subhrajit Sarma, Rama Kanta Bhuyan
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An energy-efficient wireless communication scheme using Quint Fibonacci number system
Int. J. Commun. Networks Distributed Syst., 2016In this paper, an energy-efficient communication scheme for low-power wireless networks is proposed which is based on encoding the messages in a new number system, called the Quint Fibonacci number system QFNS, followed by using a concept of Silent ...
Ansuman Bhattacharya+4 more
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Arrangement of Fibonacci number photovoltaic modules for power generation woods
IEEE International Conference on Renewable Energy Research and Applications, 2014To achieve efficient production of solar energy, a three-dimensional Fibonacci number photovoltaic module (FPM) based on leaf arrangement has been proposed. A power generation woods will comprise a number of such FPMs. In this study, the shadowing effect
T. Nishiwaki, T. Yachi
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Bijective Proofs of Vajda's Ninetieth Fibonacci Number Identity and Related Identities
Integers, 2012. This article provides the first bijective proof for a previously “uncounted” Fibonacci number identity of Vajda. Bijections on similar sets that illustrate a related family of Fibonacci number identities are also considered.
Nathaniel Shar
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International Telecommunications Energy Conference, 2012
In some environments, such as among mountains, the installation of power supply systems is difficult. In such cases, a power supply independent of the Communication Bureau is necessary. Solar cells can be used as an independent power supply that requires
S. Suzumoto, L. Tayo, T. Yachi
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In some environments, such as among mountains, the installation of power supply systems is difficult. In such cases, a power supply independent of the Communication Bureau is necessary. Solar cells can be used as an independent power supply that requires
S. Suzumoto, L. Tayo, T. Yachi
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Random Number Generators Based on Irregular Sampling and Fibonacci–Galois Ring Oscillators
IEEE Transactions on Circuits and Systems - II - Express Briefs, 2019This brief presents a random number generator (RNG) based on irregular sampling of regular waveform method where the irregular signal is obtained by combining Fibonacci-Galois ring oscillators with an XOR gate.
Kaya Demir, Salih Ergun
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Fibonacci's Forgotten Number [PDF]
Ezra (Bud) Brown (ezbrown@math.vt.edu) grew up in New Orleans and has degrees from Rice and LSU. He arrived at Virginia Tech shortly after Hurricane Camille, and has been there ever since, with time out for sabbatical visits to Washington, DC (where he has spent his summers since 1993) and Munich.
Ezra Brown, Cornelius Brunson
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The Fibonacci Number F u where u is not an Integer
The Fibonacci quarterly, 1965Fibonacci number s , like fac tor ia l s , a r e not na tura l ly defined for any values except integer va lues . However the gamma, function extends the concept of factor ia l to numbers that a r e not i n t ege r s . Thus we find that (l /Z)I = ^/JT/2.
Eric Halsey
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