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Strong uniform continuity [PDF]
Journal of Mathematical Analysis and Applications, 2009 Strong local continuity is a relative concept: if \(f:X\to Y\) is a continuous map between metric spaces then not only is \(f\upharpoonright K\) uniformly continuous whenever \(K\)~is compact: the \(\delta>0\) that corresponds to the given~\(\epsilon>0\) satisfies the implication ``if \(d(x,y)
Gerald Beer
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Uniform continuity and Brézis–Lieb-type splitting for superposition operators in Sobolev space
Advances in Nonlinear Analysis, 2018 Using concentration-compactness arguments, we prove a variant of the Brézis–Lieb-Lemma under weaker assumptions on the nonlinearity than known before.
Nils Ackermann
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I-uniform continuity and I-uniform boundedness of a function
Demonstratio Mathematica, 2012 AbstractThe concepts ...
Sanjoy Ghosal
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Construction of complex non-uniform rational B-spline volume parametric models with G 1 continuity [PDF]
Visual Computing for Industry, Biomedicine, and ArtThe construction of complex volumetric parametric models has long been a bottleneck in achieving integrated design and simulation modeling. To enhance model quality and simplify the modeling process, this paper proposes an innovative method for improving
Dan Wang, Long Chen, Jiahong Zhang
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Another look at inheritance of uniform continuity of 1-dimensional aggregation functions by their super-additive transformations [PDF]
Journal of Mahani Mathematical Research, 2022 In an earlier paper by Seliga, Siran and the second author (J. Mahani Math. Res. Center 8 (2019) 37–51) on lifting continuity properties of aggregation functions to their super- and sub-additive transformations it was shown that uniform continuity is ...
Fateme Kouchakinejad, Alexandra Siposova
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Computability of Data-Word Transductions over Different Data Domains [PDF]
Logical Methods in Computer Science, 2022 In this paper, we investigate the problem of synthesizing computable functions of infinite words over an infinite alphabet (data $\omega$-words). The notion of computability is defined through Turing machines with infinite inputs which can produce the ...
Léo Exibard +3 more
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Index boundedness and uniform connectedness of space of the G-permutation degree
Applied General Topology, 2021 In this paper the properties of space of the G-permutation degree, like: weight, uniform connectedness and index boundedness are studied. It is proved that: (1) If (X, U) is a uniform space, then the mapping π s n, G : (X n , U n ) → (SP n GX, SP n GU ...
R. B. Beshimov +2 more
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Synthesis of Computable Regular Functions of Infinite Words [PDF]
Logical Methods in Computer Science, 2022 Regular functions from infinite words to infinite words can be equivalently specified by MSO-transducers, streaming $\omega$-string transducers as well as deterministic two-way transducers with look-ahead.
V. Dave, E. Filiot, S. Krishna, N. Lhote
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Journal of Marine Science and Engineering, 2023 The fast reconstruction of the ship hull nonuniform rational B-spline (NURBS) surface with uniform continuity is essential for calculating hydrostatic elements such as waterplane area and molded volume in real time.
Kaige Zhu +3 more
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Strong and Uniform Continuity – the Uniform Space Case [PDF]
LMS Journal of Computation and Mathematics, 2003 AbstractIt is proved, within the constructive theory of apartness spaces, that a strongly continuous mapping from a totally bounded uniform space with a countable base of entourages to a uniform space is uniformly continuous. This lifts a result of Ishihara and Schuster from metric to uniform apartness spaces.
Douglas S. Bridges, Luminita Vîta
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