Fibonacci Number
Hosoya index and Fibonacci numbers
... total number of edge independent sets of G . Fibonacci numbers are terms of the sequence defined in a quite simple recursive ...and Fibonacci numbers. Also we consider Fibonacci cubes and ...
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On Fibonacci functions with Fibonacci numbers
... successive Fibonacci numbers approaches the Golden ratio (section) rather quickly as they go to infinity probably has a good deal to do with the observation made in the pre- vious ...of Fibonacci functional ...
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On Branched Chain Processes, the Laws of Development of Which Are Expressed by Numerical Sequences Like Fibonacci Numbers, a New Look at Their Nature
... the Fibonacci numbers and the nature of their connection with the phenomena and processes observed in the medical and biological spheres remain ...a number of works the opinion is expressed that they can be ...
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Occurrence of Fibonacci numbers in development and structure of animal forms: Phylogenetic observations and epigenetic significance
... a Fibonacci number of three (3) germ layers accompanied by invagi- nations and folding that shunt the reiterated and bifur- cated clones in to preferred regions that undergo epige- netic determination and ...
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Fibonacci Numbers and Golden Ratio- Teaching through the History of Mathematics
... Actually, Fibonacci numbers are present everywhere in nature such as in the scales of a pineapple, daisies, sunflowers, a grain of wheat, tobacco plants, a hive of bees, ...Through Fibonacci numbers and ...
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Fibonacci Number, Golden Ratio and their Connection to Different Floras
... The Fibonacci numbers has a direct link with the operational research, statistics and computational mathematics (Vajda, 2008) covering different geometric topics like Golden sections ...of Fibonacci ...
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Some properties of Fibonacci numbers, Fibonacci octonions, and generalized Fibonacci Lucas octonions
... the Fibonacci octonions in certain generalized octonion ...generalized Fibonacci-Lucas quaternions and we determined some properties of these ...generalized Fibonacci- Lucas octonions and we prove ...
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Wilker type inequalities for hyperbolic Fibonacci functions
... The Fibonacci numbers have many properties, continuous versions, and generaliza- tions ...hyperbolic Fibonacci functions replacing the discrete variable n in equation () with the continuous variable x that ...
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A gray-scale image steganography techmique using fibonacci 12-bitplane decomposition and LSB approach
... as Fibonacci numbers, or Fibonacci sequence, also there is a mathematical industry that is based on Fibonacci ...a Fibonacci Association that publishes a scholarly journal, which is ...
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On Fibonacci and Lucas Vectors and Quaternions
... the Fibonacci numbers became famous, many mathematicians studied different aspects of these numbers and various works were done combining these numbers with algebra, geometry, ...etc. Fibonacci vectors are ...
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On Fibonacci functions with periodicity
... successive Fibonacci numbers approaches the golden ratio (section) rather quickly as they go to infinity probably has a good deal to do with the observation made in the previous ...a Fibonacci mean so is DM, ...
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FIBONACCI SERIES IN MATHEMATICS
... the Fibonacci numbers can also be observed in the biological settings like branching in trees, leaves arrangement, pine cone arrangement and tree of bees ...the Fibonacci sequence as the pentagonal form of ...
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A new generalization of convolved (p,q)−Fibonacci and (p,q)−Lucas polynomials
... and number sequences defined by recurrence relations of order two, such as Fibonacci numbers, Lucas numbers, Pell numbers, Jacobsthal numbers, Fibonacci polynomials, Lucas polynomials, Chebyshev ...
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Search | Preprints
... The Fibonacci and Lucas sequences are very well-known examples of second order recurrence ...The Fibonacci numbers are perhaps most famous for appearing in the rabbit breeding problem, introduced by ...
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ON THE HYPERBOLIC FIBONACCI MATRIX FUNCTIONS
... The Fibonacci numbers have many properties, continuous versions and generalizations [18 − ...hyperbolic Fibonacci functions replacing the discrete variable n in Equation (5) with the continuous variable x ...
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Novel Fibonacci and non Fibonacci structure in the sunflower : results of a citizen science experiment
... high Fibonacci numbers based on a small number of plausible assumptions, though they are not so satisfying to experimental scientists ...largest Fibonacci numbers in phyllotaxis, and thus, one might ...
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Optimal Growth in Phrase Structure
... the Fibonacci sequence arises in the fractal space of forms generated by the X-bar ...with Fibonacci numbers of successively smaller fractions blacked out, illustrating how the space of possible ...
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Closed Expressions of the Fibonacci Polynomials in Terms of Tridiagonal Determinants
... In the paper, the authors find a new closed expression for the Fibonacci polynomials and, consequently, for the Fibonacci numbers, in terms of a tridiagonal determinant.. Main results.[r] ...
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Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s——Part I Hyperbolic Fibonacci and Lucas Functions and “Golden” Fibonacci Goniometry
... In the second half of 20 century the interest in the “Gol- den Section” and Fibonacci numbers increased in mod- ern mathematics very fastly [1-4]. In 2009 the Interna- tional Publishing House “World Scientific” ...
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Mass Constituents of a Flat Lattice Multiverse: Conclusion from Similarity between Two Universal Numbers, the Rocksalt Type 2D Madelung Constant and the Golden Mean
... lar to the mass ratio of dark energy and matter. This actually delivers arguments for the lattice universe theory of Villata [9] and also for Hajdukovic ’s theory of the gravitational polarization of the quantum vacuum ...
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