Journal ArticleDOI
Generalized Fibonacci Numbers and Associated Matrices
TLDR
In this article, the generalized Fibonacci Numbers and associated matrices are discussed. But they do not consider the generalization of the number of columns in the matrix and do not have a fixed order.Abstract:
(1960). Generalized Fibonacci Numbers and Associated Matrices. The American Mathematical Monthly: Vol. 67, No. 8, pp. 745-752.read more
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Robust transmission of unbounded strings using Fibonacci representations
A. Apostolico,A. Fraenkel +1 more
TL;DR: The main application explored is the transmission of binary strings in which the length is in an unknown range, using robust Fibonacci representations instead of the conventional error-sensitive logarithmic ramp representation.
Journal ArticleDOI
Fuzzy time-series based on Fibonacci sequence for stock price forecasting
TL;DR: A new model is proposed, which incorporates the concept of the Fibonacci sequence, the framework of Song and Chissom's model and the weighted method of Yu's model, and it is concluded that the proposed model surpasses in accuracy these conventional fuzzy time-series models.
A Simplified Binet Formula for k-Generalized Fibonacci Numbers
Gregory P. Dresden,Zhaohui Du +1 more
TL;DR: In this article, a Binet-style formula that can be used to produce the k-generalized Fibonacci numbers (that is, the Tribonaccis, Tetranaccis etc.).
Journal ArticleDOI
The multidimensional maximum entropy moment problem: a review of numerical methods
TL;DR: In this article, a numerical method for the multidimensional moment-constrained maximum entropy problem was developed, which is practically capable of solving maximum entropy problems in the two-dimensional domain and in the threedimensional domain.
and Their Applications
Zhen-Qing Chen,Panki Kim +1 more
TL;DR: In this paper, a family of pseudo dierential operators f + a = 2 ; a2 (0; 1)g on R d that evolves continuously from to + = 2, where d 1 and 2 (0, 2)g are uniform in a2(0, 1) and taking a! 0 recovers the Green function estimates for Brownian motion inD.
References
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XXV.—On Bernoulli's Numerical Solution of Algebraic Equations
TL;DR: In this paper, the authors extend Bernoulli's method to evaluate all the roots of an algebraic equation, whether real, complex, or repeated, by an arithmetical process well adapted to mechanical computation, and without any preliminary determination of the nature or position of the roots.