Results 91 to 100 of about 9,340 (278)
A class of sets where convergence in Hausdorff sense and in measure coincide
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2020 We introduce a class of uniformly bounded closed sets such that, inside the class, convergence in Hausdorff sense and in measure do agree. We also show that the class is rich enough for applications to potential theory.
Roberto Lucchetti, Fernando Sansò
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Estimating the Hausdorff measure by recurrence
, 2023 We show a new method of estimating the Hausdorff measure (of the proper dimension) of a fractal set from below.
Pawelec, Ł.
core
Journal of Esthetic and Restorative Dentistry, EarlyView.ABSTRACT Objective To evaluate the influence of superimposition protocols and landmark distribution on deviation outcomes in orthodontic full‐arch models. Materials and Methods Twenty plaster models were scanned using an intraoral and desktop scanner. Ten models were evaluated for landmark suitability and inter‐scanner coordinate agreement.
Ezgi Cansu Firinciogullari +3 more
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International Journal of Differential Equations, 2014 We consider an impulsive neutral fractional integrodifferential equation with infinite delay in an arbitrary Banach space X. The existence of mild solution is established by using solution operator and Hausdorff measure of noncompactness.
Alka Chadha, Dwijendra N. Pandey
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Journal of Microscopy, EarlyView.Abstract In the domain of battery research, the processing of high‐resolution microscopy images is a challenging task, as it involves dealing with complex images and requires a prior understanding of the components involved. The utilisation of deep learning methodologies for image analysis has attracted considerable interest in recent years, with ...
Ganesh Raghavendran +7 more
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On typical Markov operators acting on Borel measures
Abstract and Applied Analysis, 2005 It is proved that, in the sense of Baire category, almost every Markov operator acting on Borel measures is asymptotically stable and the Hausdorff dimension of its invariant measure is equal to zero.
Tomasz Szarek
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On Topologies Connected with Hausdorff Measures
Real Analysis Exchange, 2008 Notions of density points and topologies associated with various set-theoretic ideals connected with Hausdorff measures are introduced and their properties investigated. Inclusions between the ideals and between the topologies are shown.
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Measurable envelopes, Hausdorff measures and Sierpiński sets [PDF]
Colloquium Mathematicum, 2003 We show that the existence of measurable envelopes of all subsets of $\RR^n$ with respect to the $d$-dimensional Hausdorff measure ...
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Hausdorff-Besicovitch Dimension of Lake Nasser Coastline from Satellite Imagery [PDF]
, 2018 The paper is proposing a method for evaluating the Hausdorff-Besicovitch dimension of natural coastlines from satellite images. A fractal dimension is a statistical index which is describing the complexity of a given pattern embedded in given spatial ...
Sparavigna, Amelia Carolina +2 more
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Team Cognition Research Is Transforming Cognitive Science
Topics in Cognitive Science, EarlyView.Abstract About 30 years ago, the Dynamical Hypothesis instigated a variety of insights and transformations in cognitive science. One of them was the simple observation that, quite unlike trial‐based tasks in a laboratory, natural ecologically valid behaviors almost never have context‐free starting points.
Michael J. Spivey
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