Results 181 to 190 of about 3,294 (223)

A lightweight deep learning model for automated segmentation of Gynecologic organs and cervical Tumors on T2-weighted magnetic resonance imaging. [PDF]

open access: yesPhys Imaging Radiat Oncol
Twam A   +9 more
europepmc   +1 more source

The Hausdorff Dimension of Sections*

Chinese Annals of Mathematics, Series B, 2007
Taking an iterated function system of contractive similitudes on \(\mathbb{R}^n\) with the same contraction factor and the resultant compact attracting set \(E\) the author considers questions of Hausdorff dimension of sections where a ``section'' is defined as the intersection of \(E\) with a \((n-1)\)-dimensional hyperplane \(L\).
Niu, Min, Xi, Lifeng
openaire   +2 more sources

Local Hausdorff dimension

Acta Informatica, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Helmut Jürgensen, Ludwig Staiger
openaire   +2 more sources

On Hausdorff Dimension of Unimodal Attractors

Communications in Mathematical Physics, 2006
The paper deals with the \(C^4\) unimodal maps \(f: I\to I\), where \(I\) is a compact interval and \(f\) maps the boundary of \(I\) into itself. Further is supposed that the critical point \(\xi\) of \(f\) \((f'(\xi)= 0)\) belongs to the interior of \(I\) and is nondegenerate \((f''(\xi)\neq 0)\). The authors prove the following result: There exists a
Graczyk, J., Kozlovski, O. S.
openaire   +1 more source

ON HAUSDORFF DIMENSION AND TOPOLOGICAL ENTROPY

Fractals, 2010
Let f: X → X be a continuous map of a compact topological space. If there exists a metric function on X and it satisfies some restricted conditions, we obtain some relationships between Hausdorff dimension and topological entropy for any Z ⊆ X. Using those results, we also obtain a variational principle of dimensions, generalize some known results and
Ma, Dongkui, Wu, Min
openaire   +1 more source

HAUSDORFF DIMENSION OF A FAMILY OF NETWORKS

Fractals, 2023
For a family of networks [Formula: see text], we define the Hausdorff dimension of [Formula: see text] inspired by the Frostman’s characteristics of potential for Hausdorff dimension of fractals on Euclidean spaces. We prove that our Hausdorff dimension of the touching networks is [Formula: see text] Our definition is quite different from the fractal ...
QINGCHENG ZENG, LIFENG XI
openaire   +2 more sources

On Estimations of the Generalized Hausdorff Dimension

Vestnik St. Petersburg University, Mathematics, 2019
The authors introduce the abstract concept of a homogeneous dimensional space and associate with such spaces a finite compactness index. Additionally, they define a Hausdorff-Besicovitch dimension spectrum and prove a theorem about the values of the Hausdorff-Besicovitch dimension spectrum for subspaces of homogenous dimensional spaces.
Leonov, G. A., Florinskii, A. A.
openaire   +1 more source

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