Results 71 to 80 of about 10,580,440 (338)
Lucas' theorem: its generalizations, extensions and applications (1878--2014) [PDF]
, 2014 In 1878 \'E. Lucas proved a remarkable result which provides a simple way to compute the binomial coefficient ${n\choose m}$ modulo a prime $p$ in terms of the binomial coefficients of the base-$p$ digits of $n$ and $m$: {\it If $p$ is a prime, $n=n_0 ...
Meštrović, Romeo
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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
Molecular Oncology, EarlyView.Trastuzumab‐deruxtecan, a HER2‐targeting antibody‐drug conjugate, shows promising antitumor activity in head and neck squamous cell carcinoma with low HER2 expression. In vitro and in vivo studies demonstrated dose‐dependent cell death and tumor growth reduction in low HER2‐expressing cell lines, which correlated with drug accumulation measured using a
Abdullah Bin Naveed +8 more
wiley +1 more source
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
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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
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Despite the availability of effective therapies for Multiple Sclerosis (MS), the unpredictable nature of disease progression and the variability in individual treatment outcomes call for reliable biomarkers. This pilot study aims to investigate the potential of plasma circulating microRNAs (miRNAs) as predictive biomarkers for ...
Fortunata Carbone +19 more
wiley +1 more source
Hybrid convolutions on Pell and Lucas polynomials [PDF]
Discrete Mathematics Letters, 2021 Dongwei Guo, Wenchang Chu
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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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Advanced Engineering Materials, EarlyView.A hybrid system for de‐icing made of gradient polymer coatings, deposited on aluminum coupled with an electromechanical system, is demonstrated as an effective and durable strategy for reducing drastically ice adhesion. The system is capable of detaching ice blocks over the coating in less than 1 s, regardless of the ice type and covered area ...
Gabriel Hernández Rodríguez +8 more
wiley +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
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