Results 41 to 50 of about 2,249 (234)
Glasnik Matematicki, 2016 Summary: For an integer \(k\geq 2\), let \((F_{n}^{(k)})_{n}\) be the \(k\)-Fibonacci sequence which starts with \(0,\ldots ,0,1\) (\(k\) terms) and each term afterwards is the sum of the \(k\) preceding terms. In this paper, we find all \(k\)-Fibonacci numbers which are Mersenne numbers, i.e., \(k\)-Fibonacci numbers that are equal to 1 less than a ...
Bravo, Jhon J., Gómez, Carlos A.
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On the bounds for the spectral norms of geometric circulant matrices
Journal of Inequalities and Applications, 2016 In this paper, we define a geometric circulant matrix whose entries are the generalized Fibonacci numbers and hyperharmonic Fibonacci numbers. Then we give upper and lower bounds for the spectral norms of these matrices.
Can Kızılateş, Naim Tuglu
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Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To design 3D radial spiral phyllotaxis trajectories aimed at removing phase inconsistencies, improving image quality, and enhancing parametric mapping accuracy by acquiring nearly opposing spokes starting from both hemispheres in 3D radial k‐space. Methods Two 3D radial trajectories, pole‐to‐pole and continuous spiral phyllotaxis, were
Eva S. Peper +12 more
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Block scheduling in practice: An optimal decomposition strategy for nonidentical operating rooms
Decision Sciences, EarlyView.Abstract We develop and implement a Master Surgery Schedule for a real‐life hospital, assigning operating room (OR) time to surgical specialties over a multi‐week horizon. Through action research, we identify a critical operational challenge: the issue of split blocks. Split blocks allow two specialties to share an OR on the same day—one in the morning,
Vincent J. J. van Ham +2 more
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On Types of Distance Fibonacci Numbers Generated by Number Decompositions
Journal of Applied Mathematics, 2014 We introduce new types of distance Fibonacci numbers which are closely related with number decompositions. Using special decompositions of the number n we give a sequence of identities for them.
Anetta Szynal-Liana +2 more
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Noûs, EarlyView.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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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.
Cai, Tianxin, Chen, Deyi, Zhang, Yong
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The Magnetic Signature of Stress in Rocks
Geophysical Research Letters, Volume 53, Issue 3, 16 February 2026.Abstract Magnetic signatures preserved in rocks have long provided insight into Earth's evolution, revealing processes from plate tectonics to the habitability of Earth. While large impacts are known to impose extreme stresses (>1 GPa) and heat that fundamentally alters magnetic records, lower stresses typical of earthquakes have been considered ...
B. R. Kugabalan +8 more
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On Recursive Hyperbolic Fibonacci Quaternions
Communications in Advanced Mathematical Sciences, 2021 Many quaternions with the coefficients selected from special integer sequences such as Fibonacci and Lucas sequences have been investigated by a great number of researchers.
Ahmet Daşdemir
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Bidiagonal Decompositions and Accurate Computations for the Ballot Table and the Fibonacci Matrix
Numerical Linear Algebra with Applications, Volume 33, Issue 1, February 2026.ABSTRACT Riordan arrays include many important examples of matrices. Here we consider the ballot table and the Fibonacci matrix. For finite truncations of these Riordan arrays, we obtain bidiagonal decompositions. Using them, algorithms to solve key linear algebra problems for ballot tables and Fibonacci matrices with high relative accuracy are derived.
Jorge Ballarín +2 more
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