Results 31 to 40 of about 9,340 (278)

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

Properties of measures supported on fat Sierpinski carpets [PDF]

open access: yes, 2006
In this paper we study certain conformal iterated function schemes in two dimensions that are natural generalizations of the Sierpinski carpet construction. In particular, we consider scaling factors for which the open set condition fails.
Jordan, Thomas   +3 more
core   +1 more source

On the Hausdorff Measure of Rn with the Euclidean Topology [PDF]

open access: yes, 2023
In this paper, we answer a question raised by David H. Fremlin about the Hausdorff measure of R2 with respect to a distance inducing the Euclidean topology. In particular we prove that the Hausdorff n-dimensional measure of Rn is never 0 when considering
Bagnara, Marco   +3 more
core   +1 more source

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

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

Hausdorff measure on o-minimal structures [PDF]

open access: yes, 2012
Rifo, EV (Vasquez Rifo, E. Univ Talca, Inst Matemat & Fis, Talca, Chile.We introduce the Hausdorff measure for definable sets in an o-minimal structure, and prove the Cauchy-Crofton and co-area formulae for the o-minimal Hausdorff measure.
Fornasiero, A., Rifo, E.V.
core   +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

Dimension and measure for generic continuous images

open access: yes, 2013
This work is supported by EPSRC Doctoral Training GrantsWe consider the Banach space consisting of continuous functions from an arbitrary uncountable compact metric space, X, into R-n.
James T. Hyde   +7 more
core   +1 more source

Hausdorff dimension and Iterated Function Systems [PDF]

open access: yes, 2023
openIn this thesis we introduce the concepts of Hausdorff dimensions and box-counting (or Minkowski-Bouligand) dimension, their properties and the similarities and differences between them.
GERVANI, ALBERTO
core  

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