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A Topology Based Spatio-Temporal Map Algebra for Big Data Analysis
Data, 2019 Continental and global datasets based on earth observations or computational models challenge the existing map algebra approaches. The available datasets differ in their spatio-temporal extents and their spatio-temporal granularity, which makes it ...
Sören Gebbert +2 more
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Reversing orientation homeomorphisms of surfaces
Pracì Mìžnarodnogo Geometričnogo Centru, 2021 Let $M$ be a connected compact orientable surface, $f:M\to \mathbb{R}$ be a Morse function, and $h:M\to M$ be a diffeomorphism which preserves $f$ in the sense that $f\circ h = f$. We will show that if $h$ leaves invariant each regular component of each
Iryna Kuznietsova, Sergiy Maksymenko
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Supervised topological data analysis for MALDI mass spectrometry imaging applications
BMC Bioinformatics, 2023 Background Matrix-assisted laser desorption/ionization mass spectrometry imaging (MALDI MSI) displays significant potential for applications in cancer research, especially in tumor typing and subtyping.
Gideon Klaila +2 more
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Comptes Rendus. Mathématique, 2023 Our aim in this paper is to show that the modulus of smoothness and the $K$-functionals constructed from the Sobolev-type space corresponding to the Dunkl operator are equivalent on the interval $(-1,1)$.
Saadi, Faouaz, Daher, Radouan
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Generalized Hausdorff Operators on K̇α,qβ,pℝ and HK̇α,qβ,p,Nℝ in the Dunkl Settings
Journal of Function Spaces, 2021 In the present paper, we obtain some new results, and we generalize some known results for the Hausdorff operators. We have studied the generalized Hausdorff operators Hα,φ on the Dunkl-type homogeneous weighted Herz spaces K̇α,qβ,pℝ and Dunkl Herz-type ...
Faouaz Saadi, Othman Tyr, Radouan Daher
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On (semi)topology L-algebras [PDF]
Categories and General Algebraic Structures with Applications, 2023 Here, we define (semi)topological L-algebras and some related results are approved. Then we deduce conditions that mention an L-algebra to be a semi-topological or a topological L-algebra and we check some attributes of them.
Mona Aaly Kologani
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New light on Bergman complexes by decomposing matroid types [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 Bergman complexes are polyhedral complexes associated to matroids. Faces of these complexes are certain matroids, called matroid types, too. In order to understand the structure of these faces we decompose matroid types into direct summands.
Martin Dlugosch
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Error-Correcting Codes on Projective Bundles over Deligne–Lusztig Varieties
Mathematics, 2023 The aim of this article is to give lower bounds on the parameters of algebraic geometric error-correcting codes constructed from projective bundles over Deligne–Lusztig surfaces.
Daniel Camazón Portela +1 more
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Smooth approximations and their applications to homotopy types
Pracì Mìžnarodnogo Geometričnogo Centru, 2020 Let $M, N$ the be smooth manifolds, $\mathcal{C}^{r}(M,N)$ the space of ${C}^{r}$ maps endowed with the corresponding weak Whitney topology, and $\mathcal{B} \subset \mathcal{C}^{r}(M,N)$ an open subset.
Олександра Олександрівна Хохлюк +1 more
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Approximation of the Constant in a Markov-Type Inequality on a Simplex Using Meta-Heuristics
Mathematics, 2021 Markov-type inequalities are often used in numerical solutions of differential equations, and their constants improve error bounds. In this paper, the upper approximation of the constant in a Markov-type inequality on a simplex is considered.
Grzegorz Sroka, Mariusz Oszust
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