Results 11 to 20 of about 12,665 (217)
Hausdorff compactifications [PDF]
Previously, the authors used the insights of Robinson's non-standard analysis as a powerful tool to extend and simplify the construction of some compactifications of regular spaces. They now show that any Hausdorff compactification is obtainable with their method.
Matt Insall +2 more
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As composites of constant, (co)product, identity, and powerset functors, Kripke polynomial functors form a relevant class of $\mathsf{Set}$-functors in the theory of coalgebras. The main goal of this paper is to expand the theory of limits in categories of coalgebras of Kripke polynomial functors to the context of quantale-enriched categories.
Dirk Hofmann, Pedro Nora
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Hausdorff and Gromov-Hausdorff Stable Subsets of the Medial Axis
In this paper we introduce a pruning of the medial axis called the $(λ,α)$-medial axis ($\textrm{ax}_λ^α$). We prove that the $(λ,α)$-medial axis of a set $K$ is stable in a Gromov-Hausdorff sense under weak assumptions. More formally we prove that if $K$ and $K'$ are close in the Hausdorff ($d_H$) sense then the $(λ,α)$-medial axes of $K$ and $K'$ are
Lieutier, André, Wintraecken, Mathijs
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The Complexity of the Hausdorff Distance
AbstractWe investigate the computational complexity of computing the Hausdorff distance. Specifically, we show that the decision problem of whether the Hausdorff distance of two semi-algebraic sets is bounded by a given threshold is complete for the complexity class $${ \forall \exists _{<}\mathbb {R}} $$ ∀
Paul Jungeblut +2 more
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Pre-Hausdorff and Hausdorff proximity spaces
In this paper, an explicit characterization of the separation properties for T0, T1, PreT2 (pre-Hausdorff) and T2 (Hausdorff) is given in the topological category of proximity spaces. Moreover, specific relationships that arise among the various Ti,i = 0,1,2 and PreT2 structures are examined in this category.
Kula, Muammer +2 more
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Molecular structure of fac-[Mo(CO)3(DMSO)3]
The title compound, tricarbonyltris(dimethyl sulfoxide)molybdenum, [Mo(C2H6OS)3(CO)3] or fac-[Mo(CO)3(DMSO)3], crystallizes in the triclinic space group P\overline{1} with two molecules in the unit cell.
Benedict J. Elvers +2 more
doaj +1 more source
GAN‐LSTM‐3D: An efficient method for lung tumour 3D reconstruction enhanced by attention‐based LSTM
Abstract Three‐dimensional (3D) image reconstruction of tumours can visualise their structures with precision and high resolution. In this article, GAN‐LSTM‐3D method is proposed for 3D reconstruction of lung cancer tumours from 2D CT images. Our method consists of three phases: lung segmentation, tumour segmentation, and tumour 3D reconstruction. Lung
Lu Hong +12 more
wiley +1 more source
Multi-Oxidant Environment as a Suicidal Inhibitor of Myeloperoxidase
Tissue inflammation drives the infiltration of innate immune cells that generate reactive species to kill bacteria and recruit adaptive immune cells. Neutrophil activation fosters the release of myeloperoxidase (MPO) enzyme, a heme-containing protein ...
Ramona Clemen +6 more
doaj +1 more source
The present-day distributed computing systems are asynchronous in nature, and they cover heterogeneous nodes as well as networks having geographic distribution scale.
Susmit Bagchi
doaj +1 more source

