Results 71 to 80 of about 9,371 (281)
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
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Hausdorff measure of uniform self-similar fractals [PDF]
, 2010 Let d ≥ 1 be an integer and E a self-similar fractal set, which is the attractor of a uniform contracting iterated function system (UIFS) on Rd. Denote by D the Hausdorff dimension, by HD(E) the Hausdorff measure and by diam (E) the diameter of E ...
Wolfgang Kreitmeier +1 more
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On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
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Compact matrix operators on a new sequence space related to ℓ p $\ell_{p}$ spaces
Journal of Inequalities and Applications, 2016 In this paper, we derive some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the sequence space ℓ p ( r , s , t ; B ( m ) ) $\ell_{p}(r,s,t;B^{(m)})$ which is related to ℓ p ...
Abdullah Alotaibi +2 more
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Comptes Rendus. Mathématique, 2020 This appendix gives a lower bound of the Billingsley-Hausdorff dimension of a level set related to Birkhoff average in the “non-compact” symbolic space $\mathbb{N}^{\mathbb{N}}$, defined by Gibbs measure.
Selmi, Bilel
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Advancing the Volumetric Analysis of Ultra‐Low‐Field Brain MRI Using Image‐to‐Image Translation
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose Ultra‐low‐field (ULF) MRI offers a promising path to accessible neuroimaging, with potential to address global healthcare disparities and advance population‐level brain health research. However, the inherently low signal‐to‐noise ratio (SNR), reduced spatial resolution, and altered tissue contrasts relative to conventional high‐field ...
Peter Hsu +3 more
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On the Hausdorff Dimension of CAT(κ) Surfaces
Analysis and Geometry in Metric Spaces, 2016 We prove that a closed surface with a CAT(κ) metric has Hausdorff dimension = 2, and that there are uniform upper and lower bounds on the two-dimensional Hausdorff measure of small metric balls.
Constantine David, Lafont Jean-François
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Deep Learning‐Based Dynamic Segmentation of the Left Atrium in 4D Flow MRI
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To design a deep learning pipeline for automated, time‐resolved segmentation of the left atrium (LA) from 4D flow MRI data. Methods We studied 100 individuals including 65 patients with atrial fibrillation (AF) and 35 healthy subjects (HS) resulting in 2530 4D flow MRI time‐volumes acquired in different centers and scanners.
Jonas Leite +16 more
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A Multi‐Sequence Adversarial Fusion U‐Net for Brain Tumor Image Segmentation
IEEJ Transactions on Electrical and Electronic Engineering, EarlyView.In the field of brain tumor image segmentation, in order to avoid the impact of insufficient number of training samples, the method of fusing multi‐modal MRI information before segmentation is widely used. However, when fusing different modal features, existing methods only add fixed weights to the features of each modality, resulting in insufficient ...
Jie Wang, Jinglu Hu
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On the Computation of the Hausdorff Dimension of the Walrasian Economy: Addendum [PDF]
In a recent paper, Dominique (2009) argues that for a Walrasian economy with m consumers and n goods, the equilibrium set of prices becomes a fractal attractor due to continuous destructions and creations of excess demands. The paper also posits that the
Dominique, C-Rene
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