Results 41 to 50 of about 3,791 (167)
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 Quaternion-Gaussian Fibonacci Numbers and Their Properties
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 We study properties of Gaussian Fibonacci numbers. We start with some basic identities. Thereafter, we focus on properties of the quaternions that accept gaussian Fibonacci numbers as coefficients.
Halici Serpil, Cerda-Morales Gamaliel
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Pauli Gaussian Fibonacci and Pauli Gaussian Lucas Quaternions
Mathematics, 2022 We have investigated new Pauli Fibonacci and Pauli Lucas quaternions by taking the components of these quaternions as Gaussian Fibonacci and Gaussian Lucas numbers, respectively. We have calculated some basic identities for these quaternions.
Ayşe Zeynep Azak
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Journal of Geophysical Research: Planets, Volume 130, Issue 9, September 2025.Abstract Inversions of satellite observations of the lunar crustal magnetic field do not consistently produce regional magnetization directions consistent with a selenocentric axial dipolar field. We modeled the thermal evolution of anomaly source bodies in the lunar crust and found that large features (impact melt sheets and ejecta deposits) cool ...
T. Chaffee +3 more
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Binomials transformation formulae for scaled Fibonacci numbers
Open Mathematics, 2017 The aim of the paper is to present the binomial transformation formulae of Fibonacci numbers scaled by complex multipliers. Many of these new and nontrivial relations follow from the fundamental properties of the so-called delta-Fibonacci numbers defined
Hetmaniok Edyta +2 more
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Machine learning for the classification of serial electron diffraction patterns: synthetic data
Acta Crystallographica Section A, Volume 81, Issue 5, Page 397-400, September 2025.Machine learning based sorting of synthetic serial electron diffraction patterns into 2D zonal patterns and patterns representing intersections of multiple Laue zones is demonstrated. The extracted zonal patterns can be used for the determination of unit‐cell parameters.Serial electron crystallography faces a fundamental challenge due to the flat Ewald
Tatiana E. Gorelik, Evgeny Gorelik
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Visual Soil Structure Quality Is Mostly Explained by Small‐Size Structural Pores
European Journal of Soil Science, Volume 76, Issue 5, September–October 2025.ABSTRACT Visual assessment of soil structure receives growing interest but its physical meaning is still to be explored. This study examined the relationships between soil pore systems volume and size distribution and visual structure quality scores in undisturbed soil samples from Swiss cropland soils covering a wide range of soil organic carbon (SOC)
Cédric Deluz +4 more
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AI in Neurology: Everything, Everywhere, All at Once Part 1: Principles and Practice
Annals of Neurology, Volume 98, Issue 2, Page 211-230, August 2025.Artificial intelligence (AI) is rapidly transforming healthcare, yet it often remains opaque to clinicians, scientists, and patients alike. This review, part 1 of a 3‐part series, provides neurologists and neuroscientists with a foundational understanding of AI's key concepts, terminology, and applications.
Matthew Rizzo, Jeffrey D. Dawson
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From Genes to Shapes: Exploring Local Adaptation in Carpathian Ox‐Eye Daisies
Journal of Biogeography, Volume 52, Issue 8, August 2025.ABSTRACT Aim Historical processes have shaped the Carpathian biogeography, yet ongoing evolutionary forces continue to drive population differentiation. We aimed to test whether local adaptation in the Carpathian subendemic Leucanthemum rotundifolium correlates with genetic, morphological and environmental factors, and to assess how these patterns ...
Kamil Konowalik, Olga Łuczak
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Some Identities Involving Fibonacci Polynomials and Fibonacci Numbers
Mathematics, 2018 The aim of this paper is to research the structural properties of the Fibonacci polynomials and Fibonacci numbers and obtain some identities. To achieve this purpose, we first introduce a new second-order nonlinear recursive sequence. Then, we obtain our
Yuankui Ma, Wenpeng Zhang
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