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Order Convergence and Topological Convergence [PDF]
Proceedings of the American Mathematical Society, 1965 In a complete lattice it is possible to define a notion of convergence (for arbitrary nets) known as order convergence (o-convergence) ; for definitions see [l,p.5°]and [3, p. 65]. As a general rule o-convergence is not a topological convergence; i.e., the lattice cannot be topologized so that nets o-converge if and only if they converge with respect ...
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Nano Convergence, 2022 Chemoresistance remains a huge challenge for effective treatment of non-small cell lung cancer (NSCLC). Previous studies have shown Chinese herbal extracts possess great potential in ameliorating tumor chemoresistance, however, the efficacy is clinically
Chao Chen +7 more
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Over-convergence on the circle of convergence
Duke Mathematical Journal, 1947 Stellt die Potenzreihe \(\sum_{n=0}^\infty a_n z^n\) vom Konvergenzradius 1 eine analytische Funktion \(f(x)\) dar, die auf einem abgeschlossenen Bogen \(C\) des Einheitskreises regulär ist, so kann bekanntlich der Fall eintreten, daß eine Teilfolge \(s_{m_i} (z) (i=1,2,...)\) der Folge der Partialsummen \(s_m(z) = \sum_{n=0}^\infty a_n z^n\) \((m=0,1,.
Erdös, Paul, Piranian, George
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Nano Convergence, 2019 Recently, iron, nitrogen and sulfur codoped carbon-based materials have gained increasing attention for their synergistic effect towards superior electrocatalytic oxygen reduction performance. To gain insight into the contributions of the heteroatoms, we
Jinxiang Zou +5 more
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Nano Convergence, 2022 Infrared neural stimulation with the assistance of photothermal transducers holds great promise as a mini-invasive neural modulation modality. Optical nanoparticles with the absorption in the near-infrared (NIR) window have emerged as excellent ...
Jiansheng Liu +7 more
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occumb: An R package for site occupancy modeling of eDNA metabarcoding data
Population Ecology, EarlyView.This study introduces a new R package, occumb, for the convenient application of site occupancy modeling using environmental DNA (eDNA) metabarcoding data. We outline a data analysis workflow, including data setup, model fitting, model assessment, and comparison of potential study settings based on model predictions, all of which can be performed using
Keiichi Fukaya, Yuta Hasebe
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Robot-Based Diver Safety Support Scenario and Concept Design for NADIA
한국해양공학회지This paper describes the definition of robot functions and conceptual design for the effective development of a diver safety support robot: the nautical advanced diving intelligent assistance system (NADIA).
Hyungjoo Kang +7 more
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Conditions for convergence and subsequential convergence
Applied Mathematics Letters, 2006 AbstractLet (un) be a sequence, regularly generated by another sequence (αn) where either (αn) or (Δαn)=(αn−αn−1) is slowly oscillating. We investigate conditions under which the sequence (un) converges or converges subsequentially.
Mehmet Dik, İbrahim Çanak, Filiz Dik
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Making tau amyloid models in vitro: a crucial and underestimated challenge
FEBS Letters, EarlyView.This review highlights the challenges of producing in vitro amyloid assemblies of the tau protein. We review how accurately the existing protocols mimic tau deposits found in the brain of patients affected with tauopathies. We discuss the important properties that should be considered when forming amyloids and the benchmarks that should be used to ...
Julien Broc, Clara Piersson, Yann Fichou
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Detecting heterogeneity in and between breast cancer cell lines
Cancer Convergence, 2020 Background Cellular heterogeneity in tumor cells is a well-established phenomenon. Genetic and phenotypic cell-to-cell variability have been observed in numerous studies both within the same type of cancer cells and across different types of cancers ...
Yang Shen +6 more
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