Results 31 to 40 of about 2,265 (192)

MORPHOLOGICAL SAMPLING OF CLOSED SETS

Image Analysis and Stereology, 2011
We briefiy survey the standard morphological approach (Heijmans, 1994) to the sampling (or discretization) of sets. Then we summarize the main results of our metric theory of sampling (Ronse and Tajine, 2000; 2001; 2002; Tajine and Ronse, 2002), which ...
Christian Ronse, Mohamed Tajine
doaj   +1 more source

Convergence-preservation criteria for a generalized Hausdorff mean. [PDF]

Proceedings of the American Mathematical Society, 1969
For definitions and related results see the preceding review Zbl 0167.33201. The space of moment sequences generated by a function Riemann-integrable on \([0,1]\) is denoted by \(R\). If \(d\in R\setminus\text{BV}\), \(H^{(s)}(d)\) is conservative if and only if \(\{\sum_{p=0}^n | H_{np}^{(s)}|\}\) is bounded and \(\{\sum_{p=0}^n | H_{np}^{(s ...
openaire   +2 more sources

Rearrangement and Convergence in Spaces of Measurable Functions

Journal of Inequalities and Applications, 2007
We prove that the convergence of a sequence of functions in the space L0 of measurable functions, with respect to the topology of convergence in measure, implies the convergence μ-almost everywhere (μ denotes the Lebesgue measure) of the sequence ...
A. Trombetta, G. Trombetta, D. Caponetti   +2 more
doaj   +2 more sources

A General Approximation Approach for the Simultaneous Treatment of Integral and Discrete Operators

Advanced Nonlinear Studies, 2018
In this paper, we give a unitary approach for the simultaneous study of the convergence of discrete and integral operators described by means of a family of linear continuous functionals acting on functions defined on locally compact Hausdorff ...
Vinti Gianluca, Zampogni Luca
doaj   +1 more source

Hybrid UNet transformer architecture for ischemic stoke segmentation with MRI and CT datasets

Frontiers in Neuroscience, 2023
A hybrid UNet and Transformer (HUT) network is introduced to combine the merits of the UNet and Transformer architectures, improving brain lesion segmentation from MRI and CT scans.
Wei Kwek Soh, Jagath C. Rajapakse
doaj   +1 more source

TΩ-sequences in abelian groups

International Journal of Mathematics and Mathematical Sciences, 2000
A sequence in an abelian group is called a T-sequence if there exists a Hausdorff group topology in which the sequence converges to zero. This paper describes the fundamental system for the finest group topology in which this sequence converges to zero ...
Robert Ledet, Bradd Clark
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A Geometric Characterization of Steady Laminar Flow

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non‐contractible streamlines which foliate the domain), then they must be either parallel or circular flows.
Theodore D. Drivas, Marc Nualart
wiley   +1 more source

Hausdorff Difference-Based Adam Optimizer for Image Classification

Mathematics
To address the limitations of fixed-order update mechanisms in convolutional neural network parameter training, an adaptive parameter training method based on the Hausdorff difference is proposed in this paper.
Jing Jian, Zhe Gao, Haibin Zhang
doaj   +1 more source

Algebraic obstructions to sequential convergence in Hausdorrf abelian groups

International Journal of Mathematics and Mathematical Sciences, 1998
Given an abelian group G and a non-trivial sequence in G, when will it be possible to construct a Hausdroff topology on G that allows the sequence to converge?
Bradd Clark, Sharon Cates
doaj   +1 more source

Bowen Lemma in the Countable Symbolic Space

Entropy, 2017
We consider the sets of quasi-regular points in the countable symbolic space. We measure the sizes of the sets by Billingsley-Hausdorff dimension defined by Gibbs measures.
Mingtian Li, Jihua Ma
doaj   +1 more source