Results 31 to 40 of about 86,577,496 (251)
Quasi-Density of Sets, Quasi-Statistical Convergence and the Matrix Summability Method [PDF]
Axioms, 2022 In this paper, we define the quasi-density of subsets of the set of natural numbers and show several of the properties of this density. The quasi-density dp(A) of the set A⊆N is dependent on the sequence p=(pn). Different sequences (pn), for the same set A, will yield new and distinct densities. If the sequence (pn) does not differ from the sequence (n)
Renata Masarova +2 more
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A new factor theorem on absolute matrix summability method*
AIP Conference Proceedings, 2021 Abstract In this paper, we have a new matrix generalization with absolute matrix summability factor of an infinite series by using quasi-β-power increasing sequences.
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Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
wiley +1 more source
On absolute normal double matrix summability methods [PDF]
, 2003 It is shown that, if T is a row finite nonnegative double summability matrix satisfying certain conditions, then |T|k summability is stronger than |N, pn|k summability, for k 1. As special summability methods T we consider weighted mean and double Cesaro,
Rhoades, B. E.
core
Ligand‐dependent transcriptional heterogeneity in cell cycle gene expression delays G1/S entry
FEBS Letters, EarlyView.EGF and HRG induce distinct G1/S progression programs in ErbB2‐amplified BT474 breast cancer cells. Despite activating the potent ErbB2–ErbB3 heterodimer, HRG does not accelerate cell‐cycle entry. Instead, EGF promotes earlier restriction‐point passage via ERK–FOS signaling, whereas HRG activates the AKT–MYC axis, driving transcriptional heterogeneity ...
Ririn Rahmala Febri +5 more
wiley +1 more source
Mapping properties of matrix summability methods [PDF]
Annali di Matematica Pura ed Applicata, 1971 Conditions on a complex matrix A are given which are necessary and sufficient for A to have the property that if x belongs to the complex linear space generated by the set of all convergent real sequences having nonnegative kth differences, then Ax belongs to the complex linear space generated by the set of all convergent real sequences having ...
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FEBS Letters, EarlyView.Vacuolar H+‐ATPase (V‐ATPase) is a multisubunit rotary proton pump that acidifies intracellular compartments. Using elastic network models, we identified conserved hinge residues that govern its large‐scale functional motions. We show that intrinsically encoded ‘soft modes’ drive critical functional transitions, including rotary catalysis and ...
Diksha Parwana +3 more
wiley +1 more source
, 2014 This short monograph is the first book to focus exclusively on the study of summability methods, which have become active areas of research in recent years.
Mursaleen, M
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Molecular Oncology, EarlyView.This study shows that lung adenocarcinomas exploit developmental branching morphogenesis to acquire a therapy resistant basal‐like tumour cell state. This process was found to be regulated by combined TP53 loss‐of‐function and type‐I interferon signalling, identifying a novel axis for biomarker and therapeutic target discovery.
Kamila J Bienkowska +13 more
wiley +1 more source
A summability factor theorem for absolute summability involving quasi-monotone sequences [PDF]
, 2009 In this paper we prove a theorem on | A |k, k ? 1, summability factors for an infinite series by replacing a weighted mean matrix with a triangular matrix. © 2008 Elsevier Ltd.
Savaş, Ekrem
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