Results 11 to 20 of about 399,111 (305)
Simultaneous extension of continuous and uniformly continuous functions [PDF]
Studia Mathematica, 2022 The first known continuous extension result was obtained by Lebesgue in 1907. In 1915, Tietze published his famous extension theorem generalising Lebesgue's result from the plane to general metric spaces. He constructed the extension by an explicit formula involving the distance function on the metric space.
Gutev, Valentin
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On extension of uniformly continuous quasiconvex functions [PDF]
Proceedings of the American Mathematical Society, 2023 We show that each uniformly continuous quasiconvex function defined on a subspace of a normed space X X admits a uniformly ...
de Bernardi C. A., Vesely L.
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On extension of pairwise θ-continuous maps
International Journal of Mathematics and Mathematical Sciences, 1996 The aim of the paper is to find suitable conditions so as to ultimately establish the existence and uniqueness of the extension of a pairwise θ-continuous map onto an arbitrary extension-space of a bitopological space.
S. K. Sen, M. N. Mukherjee
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A continuous-time extension condition
IEEE Transactions on Automatic Control, 1996 ISSN:1558 ...
Roy S Smith
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Continuous extension in topological digital spaces [PDF]
Applied General Topology, 2008 We give necessary and sufficient conditions for the existence of a continuous extension from a smallest-neighborhood space (Alexandrov space) X to the Khalimsky line. Using this result, we classify the subsets A X such that every continuous function A !
Erik Melin
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Journal of Agricultural Extension, 2021 The paper examined demand-driven agricultural extension education in Nigeria and emphasized the need for extension professionals to acquire soft skills in addition to their technical capabilities through the utilization of demand-driven extension ...
Idowu Oladele
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Measure-Based Extension of Continuous Functions and p-Average-Slope-Minimizing Regression
Axioms, 2023 This work is inspired by some recent developments on the extension of Lipschitz real functions based on the minimization of the maximum value of the slopes of a reference set for this function.
Roger Arnau +2 more
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A New Extension Form for Continuous Probability Distributions: Uniform-X Distributions
Cumhuriyet Science Journal, 2022 In this paper, generating extension forms for continuous probability distribution functions is studied. The considered transformer function is applied to three well-known probability distributions- Normal, Kumaraswamy, Weibull- and new extensions of ...
Çiğdem Topçu Gülöksüz, Nuri Çelik
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Discrete-to-Continuous Extensions: Lovász Extension and Morse Theory
Discrete & Computational Geometry, 2023 AbstractThis is the first of a series of papers that develop a systematic bridge between constructions in discrete mathematics and the corresponding continuous analogs. In this paper, we establish an equivalence between Forman’s discrete Morse theory on a simplicial complex and the continuous Morse theory (in the sense of any known non-smooth Morse ...
Jürgen Jost, Dong Zhang
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ON THE PROBLEM OF MEAN PERIODIC EXTENSION
Проблемы анализа, 2020 This paper is devoted to a study of the following version of the mean periodic extension problem: (i) Suppose that 𝑇 ∈ ℰ′ (R^𝑛), 𝑛 ≥ 2, and 𝐸 is a non-empty subset of R^𝑛. Let 𝑓 ∈ 𝐶(𝐸).
V. V. Volchkov, Vit. V. Volchkov
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