منابع مشابه
Non-standard Visualizations of Fibonacci Numbers and the Golden Mean
Fibonacci numbers and the Golden Mean are numbers and thus 0-dimensional objects. Usually, they are visualized in the Euclidean plane using squares and rectangles in a spiral arrangement. The Golden Mean, as a ratio, is an affine geometric concept and therefore Euclidean visualizations are not mandatory. There are attempts to visualize the Fibonacci number sequence and Golden Spirals in higher ...
متن کاملLainiotis filter, golden section and Fibonacci sequence
The relation between the discrete time Lainiotis filter on the one side and the golden section and the Fibonacci sequence on the other is established. As far as the random walk system is concerned, the relation between the Lainiotis filter and the golden section is derived through the Riccati equation since the steady state estimation error covariance is related to the golden section. The relat...
متن کاملGolden Mean Subshift Revised Introduction
We study subshifts of nite type on f0;1g Z 2 of the form where in a nite window there is always either one on no 1's present. The problem is converted to a tiling/covering problem on the (nZ) 2 lattice and its shifts. In this setup we consider the uniqueness of the equilibrium measure, density of 1's at equilibrium and the topological entropy. Further insight is achieved by realizing that the e...
متن کاملFibonacci sequence, golden section, Kalman filter and optimal control
A connection between the Kalman filter and the Fibonacci sequence is developed. More precisely it is shown that, for a scalar random walk system in which the two noise sources (process and measurement noise) have equal variance, the Kalman filter’s estimate turns out to be a convex linear combination of the a priori estimate and of the measurements with coefficients suitably related to the Fibo...
متن کاملThe Golden-fibonacci Equivalence
We shall refer to A and B as the large and the small Golden Ratios, respectively, and shall in general simply refer to these and their powers collectively as Golden Numbers. Likewise, the ratio between the neighboring Fibonacci Numbers un+i/un will be called the large Fibonacci Ratio. Here, "large" means that the suffices n + 1 > n, without inference to the values of the u s or their ratio. Its...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2008
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2007.12.003