Results 111 to 120 of about 3,791,283 (277)
A NOTE ON THE EFFECT OF PROJECTIONS ON BOTH MEASURES AND THE GENERALIZATION OF q-DIMENSION CAPACITY
Проблемы анализа, 2016 In this paper, we are concerned both with the properties of the generalization of the L^q-spectrum relatively to two Borel probability measures and with the generalized q-dimension Riesz capacity.
Bilel Selmi
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On the Hausdorff dimension of the set of numbers with bounded sequences of digits in the Cantor expansion [PDF]
, 1965 Tibor Šalát
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A Contrast‐Agnostic Method for Ultra‐High Resolution Claustrum Segmentation
Human Brain Mapping, Volume 46, Issue 12, 15 August 2025.The claustrum is a still poorly understood structure, with limited neuroimaging tools available for its study. Here we propose a method for automatic claustrum segmentation at ultra‐high resolution (0.35 mm), which can be applied to images of any contrast and resolution. The method is accurate, robust, and achieves excellent generalization.
Chiara Mauri +7 more
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Some lacunarity properties of partial quotients of real numbers
Comptes Rendus. MathématiqueWe consider lacunarity properties of sequence of partial quotients for real numbers in their continued fraction expansions. Hausdorff dimension of the sets of points with different lacunarity conditions on their partial quotients are calculated.
Zhao, Xuan, Zhang, Zhenliang
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Dimension estimates of the attractor for the dissipative quantum Zakharov equations
Journal of Inequalities and Applications, 2019 The finite dimension estimates of Hausdorff dimension and fractal dimension of the attractor of the dissipative quantum Zakharov equations are mainly studied by using the estimates of the Lyapunov exponents. The main results on the attractor are obtained
Donglong Li, Yanfeng Guo
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Brain and Behavior, Volume 15, Issue 8, August 2025.Parkinson's disease diagnosis framework using spiral drawings. Abstract Objective This study aims to create a reliable and scalable framework for detecting Parkinson's disease (PD) using spiral drawings. It integrates advanced machine learning techniques to improve diagnostic accuracy and practical application in clinical settings.
Mohamed J. Saadh +9 more
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The Capacity of a General Noiseless Channel and Its Connection with Hausdorff Dimension [PDF]
, 1968 Meir Smorodinsky
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Human Brain Mapping, Volume 46, Issue 11, 01 August 2025.This study demonstrates the superior accuracy of a Deep Learning‐based algorithm in segmenting the hippocampus and surrounding cerebro‐spinal fluid filled spaces to calculate the hippocampal‐to‐ventricle ratio, reinforcing its significance in distinguishing between controls and Alzheimer's patients and its associations with age and cognitive impairment.
Sofia Fernandez‐Lozano +7 more
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Towards an Informed Choice of Diffusion MRI Image Contrasts for Cerebellar Segmentation
Human Brain Mapping, Volume 46, Issue 11, 01 August 2025.The segmentation of cerebellar structures is an essential step towards supplying increasingly accurate whole‐brain analyses. In this work, we provide evidence that the spherical mean contrast computed as the diffusion‐weighted image average provides significantly improved results over other dMRI‐derived contrasts for cerebellar structure segmentation ...
Jon Haitz Legarreta +8 more
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