Results 61 to 70 of about 145,594 (304)
The Square Terms in Lucas Sequences
Journal of Number Theory, 1996 AbstractLet {Un(P, Q)} and {Vn(P, Q)} denote the Lucas sequence and companion Lucas sequence, respectively, with parametersPandQ. For all odd relatively prime values ofPandQsuch thatD=P2−4Qis positive, we determine all indicesnsuch thatUn(P, Q), 2Un(P, Q),Vn(P, Q) or 2Vn(P, Q) is a square.
Paulo Ribenboim +3 more
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
On the Lucas property of linear recurrent sequences [PDF]
International Journal of Number Theory, 2016 Let [Formula: see text] be an arithmetic function. [Formula: see text] has Lucas property if for any prime [Formula: see text] and [Formula: see text], where [Formula: see text], [Formula: see text] In this paper, we discuss the Lucas property of Fibonacci sequences and Lucas numbers. Meanwhile, we find some other interesting results.
Tianxin Cai, Hao Zhong
openaire +3 more sources
Heterozygous variants in AP4S1 are not associated with a neurological phenotype
Annals of Clinical and Translational Neurology, EarlyView.Abstract Biallelic loss‐of‐function variants in AP4S1 cause childhood‐onset hereditary spastic paraplegia. A recent report suggested that heterozygous AP4S1 variants lead to a syndrome of lower limb spasticity and dysregulation of sphincter function. We critically evaluate this claim against clinical observations in 28 heterozygous carriers of the same
Vicente Quiroz +9 more
wiley +1 more source
ChemCatChem, Volume 15, Issue 1, January 9, 2023., 2023 Catalysts have SKILLS too – the SCILL effect: Whilst all uncoated catalysts showed close to a 100 % conversion of the substrates, the optimised SCILLs (Solid Catalysts with an Ionic Liquid Layer) were able to significantly decrease octene conversion and also improve the 1‐octene gain at high octyne conversions. A 1‐octene gain was achieved with 4 ML of
Revana Chanerika +3 more
wiley +1 more source
FGF14 GAA Intronic Expansion in Unsolved Adult‐Onset Ataxia in the Care4Rare Canada Consortium
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background and Objectives Spinocerebellar ataxias (SCA) represent a clinically and genetically heterogeneous group of progressive neurodegenerative diseases with prominent cerebellar atrophy. Recently, a novel pathogenic repeat expansion in intron 1 of FGF14 was identified, causing adult‐onset SCA (SCA27B). We aimed to determine the proportion
Alexanne Cuillerier +20 more
wiley +1 more source
Tailored Particle Catalysts for Multistep One‐pot Chemoenzymatic Cascade in Pickering Emulsions
ChemCatChem, Volume 15, Issue 1, January 9, 2023., 2023 Chemoenzymatic cascades are enabled by combining particle catalysts and enzymes in water and Pickering emulsions in a sequential fashion. The benefit of such multistep one‐pot chemoenzymatic cascades is their high reactivity, selectivity, and recyclability without reaction incompatibility issues.
Shan Wang +4 more
wiley +1 more source
Quaternion-Type Catalan Transforms of the ρ-Fibonacci and ρ-Lucas Numbers
Journal of Mathematics, 2023 In this paper, we define a new sequence called the quaternion-type Catalan sequence and give generating function, exponential representation, quaternionic Catalan matrix and its some properties.
Kübra Gül
doaj +1 more source
Digital Methods for the Fatigue Assessment of Engineering Steels
Advanced Engineering Materials, EarlyView.The use of engineering steels is often limited by their fatigue strength. In the sake of a faster product development, the fatigue behavior can be predicted by machine learning (ML). In this work, ML is applied on a heterogeneous database, covering a wide range of steel types.
Sascha Fliegener +7 more
wiley +1 more source