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More on Convergence of Continuous Functions and Topological Convergence of Sets
Canadian Mathematical Bulletin, 1985AbstractLet C(X, Y) denote the set of continuous functions from a metric space X to a metric space Y. Viewing elements of C(X, Y) as closed subsets of X × Y, we say {fn} converges topologically to f if Li fn = Lsfn = f. If X is connected, then topological convergence in C(X,R) does not imply pointwise convergence, but if X is locally connected and Y is
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Composition and functions of bacterial membrane vesicles
Nature Reviews Microbiology, 2023Masanori Toyofuku +2 more
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Convergence and rates of convergence of radial basis functions networks in function learning
Nonlinear Analysis: Theory, Methods & Applications, 2001Krzyżak, Adam, Niemann, Heinrich
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A Convergence of Bivariate Functions aimed at the Convergence of Saddle Functions
1982Epi/hypo-convergence is introduced from a variational viewpoint. The known topological properties are reviewed and extended. Finally, it is shown that the (partial) Legendre-Fenchel transform is bicontinuous with respect to the topology induced by epi/hypoconvergence on the space of convex-concave bivariate functions.
Attouch, H., Wets, R.J.-B.
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Gene regulation by long non-coding RNAs and its biological functions
Nature Reviews Molecular Cell Biology, 2020Luisa Statello +2 more
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The expanding regulatory mechanisms and cellular functions of circular RNAs
Nature Reviews Molecular Cell Biology, 2020Ling-Ling Chen
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Global view of human protein glycosylation pathways and functions
Nature Reviews Molecular Cell Biology, 2020Katrine T Schjoldager +2 more
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The emerging mechanisms and functions of microautophagy
Nature Reviews Molecular Cell Biology, 2022, Daniel J Klionsky, Han-Ming Shen
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The regulation and functions of DNA and RNA G-quadruplexes
Nature Reviews Molecular Cell Biology, 2020Jochen Spiegel +2 more
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Antimicrobial host defence peptides: functions and clinical potential
Nature Reviews Drug Discovery, 2020Neeloffer Mookherjee +2 more
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