نتایج جستجو برای: fibonacci hypercube

تعداد نتایج: 6802  

Journal: :The Annals of Statistics 1996

Journal: :Journal of High Energy Physics 2020

Journal: :Thermal Science 2022

In this study, we define hyperbolic-type k-Fibonacci numbers and then give the relationships between k-step Fibonacci numbers. addition, study sequence modulo m periods of Hperbolic-type sequences for any k which are related m. Furthermore, extend to groups. Finally, obtain 2-Fibonacci in dihedral group D2m, (m ? 2) with respect generating pairs (x,y) (y, x).

2008
Yicong Zhou Sos S. Agaian Valencia M. Joyner Karen Panetta

Image scrambling is used to make images visually unrecognizable such that unauthorized users have difficulty decoding the scrambled image to access the original image. This article presents two new image scrambling algorithms based on Fibonacci p-code, a parametric sequence. The first algorithm works in spatial domain and the second in frequency domain (including JPEG domain). A parameter, p, i...

2005
T. J. COOKE A. M. Hirsch TODD J. COOKE

Complex biological patterns are often governed by simple mathematical rules. A favourite botanical example is the apparent relationship between phyllotaxis (i.e. the arrangements of leaf homologues such as foliage leaves and floral organs on shoot axes) and the intriguing Fibonacci number sequence (1, 2, 3, 5, 8, 13 . . .). It is frequently alleged that leaf primordia adopt Fibonacci-related pa...

Journal: :Int. J. Found. Comput. Sci. 2016
Chen Fei Du Hamoon Mousavi Luke Schaeffer Jeffrey Shallit

We continue our study of the class of Fibonacci-automatic words. These are infinite words whose nth term is defined in terms of a finite-state function of the Fibonacci representation of n. In this paper, we show how enumeration questions (such as counting the number of squares of length n in the Fibonacci word) can be decided purely mechanically, using a decision procedure. We reprove some kno...

2017
Stefan Schuster Maximilian Fichtner Severin Sasso

In lipid biochemistry, a fundamental question is how the potential number of fatty acids increases with their chain length. Here, we show that it grows according to the famous Fibonacci numbers when cis/trans isomerism is neglected. Since the ratio of two consecutive Fibonacci numbers tends to the Golden section, 1.618, organisms can increase fatty acid variability approximately by that factor ...

2016
Ayşe Kurt Bahşı Salih Yalçınbaş

In this study, the Fibonacci collocation method based on the Fibonacci polynomials are presented to solve for the fractional diffusion equations with variable coefficients. The fractional derivatives are described in the Caputo sense. This method is derived by expanding the approximate solution with Fibonacci polynomials. Using this method of the fractional derivative this equation can be reduc...

Journal: :Journal of physics. Condensed matter : an Institute of Physics journal 2010
Xin-Hua Deng Jiang-Tao Liu Jie-Hui Huang Liner Zou Nian-Hua Liu

The band structure and bandgaps of one-dimensional Fibonacci quasicrystals composed of epsilon-negative materials and mu-negative materials are studied. We show that an omnidirectional bandgap (OBG) exists in the Fibonacci structure. In contrast to the Bragg gaps, such an OBG is insensitive to the incident angle and the polarization of light, and the width and location of the OBG cease to chang...

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