Results 51 to 60 of about 1,475 (180)
Water Resources Research, Volume 62, Issue 10, October 2026.Abstract Bedload transport widely occurs in natural environments and encompasses flow regimes from saltation to sheet‐flow, with markedly different fluid‐particle interaction characteristics. Understanding these mechanisms requires a numerical tool capable of capturing both the turbulence and fluid‐particle interactions, for which challenges exist due ...
Yuxiang Liu, Lu Jing, Zi Wu, Xudong Fu
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Some properties and extended Binet’s formula for the class of bifurcating Fibonacci sequence
Ratio MathematicaOne of the generalizations of Fibonacci sequence is a -Fibonacci sequence, which is further generalized in several other ways, some by conserving the initial conditions and others by conserving the related recurrence relation.
Daksha Manojbhai Diwan +2 more
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Revisiting Fisher's n‐D statistical vision: From algebraic abstraction to modern visualization
Canadian Journal of Statistics, Volume 54, Issue 3, September 2026.Abstract We revisit early foundational results in mathematical statistics derived by Ronald A. Fisher. They involve sampling distributions of statistics calculated from independent and identically distributed Normal observations, namely the root mean square deviation; the mean absolute deviation, conditional on already knowing the value of the root ...
James A. Hanley
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Perfect numbers and Fibonacci primes (I) [PDF]
International Journal of Number Theory, 2014 In this paper, we introduce the concept of F-perfect number, which is a positive integer n such that ∑d|n,d<n d2 = 3n. We prove that all the F-perfect numbers are of the form n = F2k-1 F2k+1, where both F2k-1 and F2k+1 are Fibonacci primes. Moreover, we obtain other interesting results and raise a new conjecture on perfect numbers.
Tianxin Cai, Liuquan Wang, Yong Zhang
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On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives
Journal of Applied Mathematics, 2014 We study the relationship of the Chebyshev polynomials, Fibonacci polynomials, and their rth derivatives. We get the formulas for the rth derivatives of Chebyshev polynomials being represented by Chebyshev polynomials and Fibonacci polynomials.
Yang Li
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Noûs, Volume 60, Issue 3, Page 593-605, September 2026.ABSTRACT It is a truism of mathematics that differences between isomorphic number systems are irrelevant to arithmetic. This truism is deeply rooted in the modern axiomatic method and underlies most strands of arithmetical structuralism, the view that arithmetic is about some abstract number structure.
Balthasar Grabmayr
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Advanced Science, Volume 13, Issue 44, 7 August 2026.ABSTRACT Large‐ion (K, Na) battery systems mitigate uneven global lithium distribution, while their ability to attain recharge time shorter than refueling would remove the final barrier for secondary batteries to replace petroleum vehicles. However, their large‐ion chemistry makes ultra‐fast charging an even significant challenge.
Shukai Ding +12 more
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On the Sum of Reciprocal Generalized Fibonacci Numbers
Abstract and Applied Analysis, 2014 We consider infinite sums derived from the reciprocals of the generalized Fibonacci numbers. We obtain some new and interesting identities for the generalized Fibonacci numbers.
Pingzhi Yuan, Zilong He, Junyi Zhou
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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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Some Fibonacci congruences with square moduli [PDF]
Notes on Number Theory and Discrete MathematicsFibonacci congruence with prime moduli have been extensively studied. Square moduli are obviously not prime numbers, so why study such congruences?
Anthony G. Shannon +2 more
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