Results 31 to 40 of about 6,228 (212)

ON THE HAUSDORFF MEASURE OF CERTAIN PLANE SET PROJECTIONS

open access: yesPesquimat, 2014
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
doaj   +1 more source

Geometrical properties of the space of idempotent probability measures

open access: yesApplied General Topology, 2021
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
doaj   +1 more source

An evaluation of performance measures for arterial brain vessel segmentation

open access: yesBMC Medical Imaging, 2021
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
doaj   +1 more source

Hausdorff measures and KMS states [PDF]

open access: yesIndiana University Mathematics Journal, 2013
18 pages, 1 ...
Ionescu, Marius, Kumjian, Alex
openaire   +2 more sources

Hausdorff Dimension and Topological Entropies of a Solenoid

open access: yesEntropy, 2020
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
doaj   +1 more source

Spaces of non-additive measures generated by triangular norms

open access: yesМатематичні Студії, 2023
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
doaj   +1 more source

Hausdorff Outer Measures and the Representation of Coherent Upper Conditional Previsions by the Countably Additive Möbius Transform

open access: yesFractal and Fractional
This paper explores coherent upper conditional previsions, a class of nonlinear functionals that generalize expectations while preserving consistency properties.
Serena Doria
doaj   +1 more source

Problem with two-point conditions for parabolic equation of second order on time

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2014
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
doaj   +1 more source

Cell Segmentation Beyond 2D—A Review of the State‐of‐the‐Art

open access: yesAdvanced Intelligent Discovery, EarlyView.
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
wiley   +1 more source

Infinite System of Differential Equations in Some Spaces

open access: yesAbstract and Applied Analysis, 2012
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
doaj   +1 more source

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