Results 71 to 80 of about 141,879 (256)
A Matrix Approach for Divisibility Properties of the Generalized Fibonacci Sequence
Discrete Dynamics in Nature and Society, 2013 We give divisibility properties of the generalized Fibonacci sequence by matrix methods. We also present new recursive identities for the generalized Fibonacci and Lucas sequences.
Aynur Yalçiner
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Primitive Polynomials for Iterative Recursive Soft Sequential Acquisition of Concatenated Sequences
IEEE Access, 2019 An iterative initial sequence acquisition technique is proposed for the pseudo-noise signal derived from a pair of m-sequences used for generating the concatenated sequence, which relies on the soft-in-soft-out detection to improve the acquisition ...
Abbas Ahmed +4 more
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Strongly K-Recursive Sequences
Drawing inspiration from a recent paper of Heuberger, Krenn, and Lipnik, we define the class of strongly k-recursive sequences. We show that every k-automatic sequence is strongly $k$-recursive, therefore k-recursive, and discuss that the converse is not true.
Krenn, Daniel, Shallit, Jeffrey
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Computers & Mathematics with Applications, 2001 The authors investigate the global attractivity of all positive solutions of equation \[ x_{n+1}= (a+bx_n^2)/(1+x_{n-1}^2),\quad \text{for } n=0,1,2, \dots, \tag{*} \] where \(a,b\in [0,\infty)\). They obtain that the unique positive equilibrium of equation (*) is the global attractor of all positive solutions of equation (*) under certain conditions.
Zhang, D.C., Shi, B., Gai, M.J.
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Solid Harmonic Wavelet Bispectrum for Image Analysis
Advanced Science, EarlyView.The Solid Harmonic Wavelet Bispectrum (SHWB), a rotation‐ and translation‐invariant descriptor that captures higher‐order (phase) correlations in signals, is introduced. Combining wavelet scattering, bispectral analysis, and group theory, SHWB achieves interpretable, data‐efficient representations and demonstrates competitive performance across texture,
Alex Brown +3 more
wiley +1 more source
Solvability of Nth Order Linear Boundary Value Problems
International Journal of Differential Equations, 2015 This paper presents a method that provides necessary and sufficient conditions for the existence of solutions of nth order linear boundary value problems.
P. Almenar, L. Jódar
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Computability and analysis: the legacy of Alan Turing
, 2009 We discuss the legacy of Alan Turing and his impact on computability and analysis.Comment: 49 ...
Avigad, Jeremy, Brattka, Vasco
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Differentiating a Linear Recursive Sequence
Mathematical NotesConsider a sequence of real-valued functions of a real variable given by a homogeneous linear recursion with differentiable coefficients. We show that if the functions in the sequence are differentiable, then the sequence of derivatives also satisfies a homogeneous linear recursion whose order is at most double the order of original recursion ...
Papp, D., Ágoston, K. C.
openaire +3 more sources
Nanozymes Integrated Biochips Toward Smart Detection System
Advanced Science, EarlyView.This review systematically outlines the integration of nanozymes, biochips, and artificial intelligence (AI) for intelligent biosensing. It details how their convergence enhances signal amplification, enables portable detection, and improves data interpretation.
Dongyu Chen +10 more
wiley +1 more source
Adult Sex Ratio as a Demographic Feedback Linking Mating Systems, Parental Care, and Evolution
Advanced Science, EarlyView.Breeding systems are some of the most diverse social behavior, and our team is investigation the evolutionary causes of this diversity. This review summarises our research carried out at the University of Bath. We argue that demographic components of wild populations, especially the adult sex ratio, plays a key role driving breeding system variation ...
Tamás Székely, Oscar G. Miranda
wiley +1 more source