Results 41 to 50 of about 9,186,862 (308)
Hybrid convolutions on Pell and Lucas polynomials [PDF]
Discrete Mathematics Letters, 2021 Dongwei Guo, Wenchang Chu
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Sums of Pell/Lucas Polynomials and Fibonacci/Lucas Numbers
Mathematics, 2022 Seven infinite series involving two free variables and central binomial coefficients (in denominators) are explicitly evaluated in closed form. Several identities regarding Pell/Lucas polynomials and Fibonacci/Lucas numbers are presented as consequences.
Dongwei Guo, Wenchang Chu
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Some Applications of Fibonacci and Lucas Numbers [PDF]
, 2021 In this paper, we provide new applications of Fibonacci and Lucas numbers. In some circumstances, we find algebraic structures on some sets defined with these numbers, we generalize Fibonacci and Lucas numbers by using an arbitrary binary relation over the real fields instead of addition of the real numbers and we give properties of the new obtained ...
Cristina Flaut +2 more
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FEBS Open Bio, EarlyView.Biophysical characterisation shows that NanX, a membrane transport protein from the major facilitator superfamily (MFS), forms both monomers and dimers after purification. AlphaFold modelling and substrate docking provide information on residues likely involved in substrate recognition for NanX and another MFS member, NanT.
Michael C. Newton‐Vesty +13 more
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Environmental Research Letters, 2023 We present a new application to recognize 218 species of cultivated crops on geo-tagged photos, ‘Pl@ntNet Crops’. The application and underlying algorithms are developed using more than 750k photos voluntarily collected by Pl@ntNet users. The app is then
M van der Velde +13 more
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Down syndrome regression disorder is a syndrome characterized by subacute loss of cognitive, behavioral, and functional abilities in individuals with Down syndrome. Electroencephalography abnormalities are frequently observed during evaluation, but it remains unclear whether these findings represent a dynamic marker of disease ...
Jonathan D. Santoro +14 more
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Mathematics, 2019 Foeplitz and Loeplitz matrices are Toeplitz matrices with entries being Fibonacci and Lucas numbers, respectively. In this paper, explicit expressions of determinants and inverse matrices of Foeplitz and Loeplitz matrices are studied.
Zhaolin Jiang +4 more
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Special Matrices, 2020 In this paper, our main attention is paid to calculate the determinants and inverses of two types Toeplitz and Hankel tridiagonal matrices with perturbed columns.
Fu Yaru +3 more
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Arterial Spin‐Labeling MRI at the Cortical‐CSF Interface: A Novel Biomarker in Alzheimer Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background/Objective Arterial spin‐labeling (ASL) MRI can measure perfusion signal adjacent to CSF spaces and may provide information regarding CSF‐adjacent water transport physiology. We developed an automated pipeline to extract cortical‐CSF interface (IF) perfusion for comparison between Alzheimer disease (AD) and cognitively normal ...
Mona Asghariahmadabad +22 more
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The Lucas property of a number array
Discrete Mathematics, 2002 Let \(p\) be a prime and \(\alpha\), \(\beta\), \(\gamma\), \(\delta\) be nonnegative integers such that \(0\leq \beta< p\) and \(0\leq\delta< p\). A double integer number array \(N(i,j)\), where \(i\) and \(j\) are nonnegative integers, is said to satisfy the Lucas property, if \(N(\alpha p+\beta, \gamma p+\delta)\equiv N(\alpha, \gamma)N(\beta,\delta)
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