Results 31 to 40 of about 6,228 (212)
ON THE HAUSDORFF MEASURE OF CERTAIN PLANE SET PROJECTIONS
A characterization of plane sets whose projection have zero Hausdorff measure is given. This is obtained through the study of an angular density introduced first by Marstrand [2].
Carlos Arnoldo Morales Rojas
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Geometrical properties of the space of idempotent probability measures
Although traditional and idempotent mathematics are "parallel'', by an application of the category theory we show that objects obtained the similar rules over traditional and idempotent mathematics must not be "parallel''.
Kholsaid Fayzullayevich Kholturayev
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An evaluation of performance measures for arterial brain vessel segmentation
Background Arterial brain vessel segmentation allows utilising clinically relevant information contained within the cerebral vascular tree. Currently, however, no standardised performance measure is available to evaluate the quality of cerebral vessel ...
Orhun Utku Aydin +7 more
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Hausdorff measures and KMS states [PDF]
18 pages, 1 ...
Ionescu, Marius, Kumjian, Alex
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Hausdorff Dimension and Topological Entropies of a Solenoid
The purpose of this paper is to elucidate the interrelations between three essentially different concepts: solenoids, topological entropy, and Hausdorff dimension.
Andrzej Biś, Agnieszka Namiecińska
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Spaces of non-additive measures generated by triangular norms
We consider non-additive measures on the compact Hausdorff spaces, which are generalizations of the idempotent measures and max-min measures. These measures are related to the continuous triangular norms and they are defined as functionals on the spaces ...
Kh. Sukhorukova
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This paper explores coherent upper conditional previsions, a class of nonlinear functionals that generalize expectations while preserving consistency properties.
Serena Doria
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Problem with two-point conditions for parabolic equation of second order on time
The correctness of the problem with two-point conditions on time variable and Dirichlet-type conditions on spetial coordinates for the linear parabolic equations are established.
M.M. Symotyuk, I.R. Tymkiv
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Cell Segmentation Beyond 2D—A Review of the State‐of‐the‐Art
Cell segmentation underpins many biological image analysis tasks, yet most deep learning methods remain limited to 2D despite the inherently 3D nature of cellular processes. This review surveys segmentation approaches beyond 2D, comparing 2.5D and fully 3D methods, analyzing 31 models and 32 volumetric datasets, and introducing a unified reference ...
Fabian Schmeisser +6 more
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Infinite System of Differential Equations in Some Spaces
The first measure of noncompactness was defined by Kuratowski in 1930 and later the Hausdorff measure of noncompactness was introduced in 1957 by Goldenštein et al.
M. Mursaleen, Abdullah Alotaibi
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