Results 61 to 70 of about 975,787 (327)
A class of numbers associated with the Lucas numbers
Mathematical and Computer Modelling, 1997 The main object of this paper is to present a systematic investigation of a new class of numbers associated with the familiar Lucas numbers. The various results obtained here for this class of numbers include explicit hypergeometric representations, generating functions, recurrence relations, and summation formulas.
R. K. Raina, Hari M. Srivastava
openaire +2 more sources
Molecular Oncology, EarlyView.Large multidimensional digital images of cancer tissue are becoming prolific, but many challenges exist to automatically extract relevant information from them using computational tools. We describe publicly available resources that have been developed jointly by expert and non‐expert computational biologists working together during a virtual hackathon
Sandhya Prabhakaran +16 more
wiley +1 more source
Adverse prognosis gene expression patterns in metastatic castration‐resistant prostate cancer
Molecular Oncology, EarlyView.We aggregated a cohort of 1012 mCRPC tissue samples from 769 patients and investigated the association of gene expression‐based pathways with clinical outcomes. Loss of AR signaling, high proliferation, and a glycolytic phenotype were independently prognostic for poor outcomes, and an adverse transcriptional feature score incorporating these pathways ...
Marina N. Sharifi +26 more
wiley +1 more source
Lucas numbers that are palindromic concatenations of two distinct repdigits [PDF]
arXiv, 2023 Let $ \{L_n\}_{n\geq 0} $ be the sequence of Lucas numbers. In this paper, we determine all Lucas numbers that are palindromic concatenations of two distinct repdigits.
arxiv
Counting divisors of Lucas numbers [PDF]
Pacific Journal of Mathematics, 1998 Let {Sn} be a second order linear recurrence consisting of integers only. M. Ward [22] proved that, except for some degenerate cases, there are always an infinite number of distinct primes dividing the terms of {Sn}. A deeper question is whether in the non-degenerate case the set of prime divisors has a prime density.
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Hybrid convolutions on Pell and Lucas polynomials [PDF]
Discrete Mathematics Letters, 2021 Dongwei Guo, Wenchang Chu
doaj +1 more source
Communications in Advanced Mathematical Sciences, 2020 In this paper, dual Jacobsthal quaternions were defined. Also, the relations between dual Jacobsthal quaternions which connected with Jacobsthal and Jacobsthal-Lucas numbers were investigated. Furthermore, Binet's formula, Honsberger identity, D'ocagne'
Fügen Torunbalcı Aydın
doaj +1 more source
Solusi Bilangan Bulat suatu Persamaan Diophantine melalui Bilangan Fibonacci dan Bilangan Lucas [PDF]
, 2015 This article discusses the Diophantine equations in the form x 2 + axy + by 2 = c. The values of a, b, and c are constructed by Fibonacci number Fn and Lucas number L n.
Gemawati, S. (Sri) +2 more
core
Irreducibility of generalized Fibonacci polynomials [PDF]
arXiv, 2022 A second order polynomial sequence is of Fibonacci-type $\mathcal{F}_{n}$ (Lucas-type $\mathcal{L}_{n}$) if its Binet formula has a structure similar to that for Fibonacci (Lucas) numbers. Under certain conditions these polynomials are irreducible if and only if $n$ is a prime number.
arxiv
Journal of Applied Clinical Medical Physics, EarlyView.Abstract Introduction Many artificial intelligence (AI) solutions have been proposed to enhance the radiotherapy (RT) workflow, but limited applications have been implemented to date, suggesting an implementation gap. One contributing factor to this gap is a misalignment between AI systems and their users.
Luca M. Heising +11 more
wiley +1 more source