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Web1 jun. 2024 · A fundamental extension theorem of McShane states that a bounded real-valued uniformly continuous function defined on a nonempty subset A of a metric space 〈 X , d 〉 can be extended to a uniformly continuous function on the entire space. In the first half of this note, we obtain McShane’s Extension Theorem from the simpler fact that a … WebWorking Smart. Sep 2011 - Present11 years 8 months. For 24 years, Working Smart, a specialised “Energy Recruitment Consultancy” has been providing contractors and staff to the global Oil and Gas industry and has extended their remit in recent years to petrochemical, refinery and renewables. Confident in the delivery of our services, we ... how to edit green screen in clipchamp
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Web(a) A metric space M satisfies the Lipschitz extension property with respect to X, if there is a constant λ > 0 such that for every M′ ⊂ M there exists an extension operator EM′ : Lip (M′ , X) → Lip (M, X) with the norm ≤ λ. (b) M satisfies the linear Lipschitz extension property with respect to X, if the operator EM′ can be chosen to be linear. Web9 aug. 2024 · This paper addresses problems in functional metric geometry that arise in the study of data such as signals recorded on geometric domains or on the nodes of weighted networks. Datasets comprising such objects arise in many domains of scientific and practical interest. For example, f could represent a functional magnetic resonance image, or the … Web30 apr. 2011 · This extends to arbitrary quasi-metric spaces work done by E.J. McShane in the context of metric spaces, and to geometrically doubling quasi-metric spaces work done by H. Whitney in the Euclidean setting. These generalizations are quantitatively sharp. Keywords: Quasi-metric space, geometrically doubling quasi-metric space, led clock caixing