Results 61 to 70 of about 2,122 (182)
On Matrix‐Based Cryptography Using Matrix Norm and Special Integer Sequences
Mathematische Nachrichten, Volume 299, Issue 8, Page 2087-2102, August 2026.ABSTRACT In this paper, a novel matrix‐based encryption approach based on the Affine Hill cipher is presented. The key matrix is constructed using the Narayana integer sequence, and the Frobenius norm of the key matrix is used as a scaling factor in the key construction.
Melih Göcen +1 more
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Journal of Geophysical Research: Space Physics, Volume 131, Issue 8, August 2026.Abstract Accurate determination of the wave propagation direction is essential for understanding wave–particle interactions in space plasmas as well as the source and propagation characteristics of waves. Traditional wave normal angle (WNA) analysis methods rely on the plane‐wave assumption and cannot describe realistic wave fields with a distribution ...
Ning Kang +5 more
wiley +1 more source
Annals of the New York Academy of Sciences, Volume 1562, Issue 1, August 2026.Harmony and rhythm perception are often studied separately, yet both reveal a shared sensitivity to low‐order integer ratios. In harmony, intervals like the octave (2:1) and fifth (3:2) predict consonance and ease of encoding. In rhythm, patterns with simple ratios (e.g., 2:1, 3:2) are easier to perceive, reproduce, and remember.
Nicola Di Stefano +2 more
wiley +1 more source
Fibonacci Numbers of Generalized Fibonacci Graphs
Mediterranean Journal of MathematicsAbstract The Fibonacci number of a graph, introduced by Prodinger and Tichy, is defined as the total number of independent vertex sets, including the empty set, and it is closely related to the Merrifield–Simmons index in chemical graph theory.
Emrah Akyar, Handan Akyar
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Infinite Series About Reciprocal Products of Fibonacci and Lucas Numbers
AxiomsInfinite series about reciprocal products of Fibonacci and Lucas numbers are systematically examined. This is done by incorporating the telescoping method, Cassini-like identities and partial fractions, as well as the induction principle. Numerous closed
Marta Na Chen, Wenchang Chu
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On Integer Numbers with Locally Smallest Order of Appearance in the Fibonacci Sequence
International Journal of Mathematics and Mathematical Sciences, 2011 Let Fn be the nth Fibonacci number. The order of appearance z(n) of a natural number n is defined as the smallest natural number k such that n divides Fk. For instance, for all n=Fm≥5, we have z(n−1)>z(n)
Diego Marques
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Skew shapes, Ehrhart positivity, and beyond
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract A classical result by Kreweras (1965) allows one to compute the number of plane partitions of a given skew shape and bounded parts as certain determinants. We prove that these determinants expand as polynomials with nonnegative coefficients.
Luis Ferroni +2 more
wiley +1 more source
Clinical Pharmacology &Therapeutics, Volume 120, Issue 1, Page 160-167, July 2026.Cadmium exposure causes serious health consequences; however, there is no clinically approved antidote for cadmium poisoning. This Phase 1a/1b trial aimed to investigate safety, tolerability, and pharmacokinetics of Sodium (S)‐2‐(dithiocarboxylato((2S,3R,4R,5R)‐2,3,4,5,6‐pentahydroxyhexyl) amino)‐4‐(methylthio) butanoate (GMDTC), a novel chelating ...
Xuefeng Ren +21 more
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Cubic binomial Fibonacci sums [PDF]
Electronic Journal of Mathematics, 2021 Kunle Adegoke +2 more
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Another type of generalized fibonacci series
Semina: Ciências Exatas e Tecnológicas, 2004 The Fibonacci sequence, with many applications and occurrences in nature and arts is discussed in the present work. It is considered a generalization of the Fibonacci series by the introduction of a real coefficient in the recurrence relation.
Júlio Pureza, Gil Bazanini
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