Results 61 to 70 of about 7,273 (258)

Compact 𝜎-metric Hausdorff spaces are sequential [PDF]

Proceedings of the American Mathematical Society, 1978
It is shown that a locally countably compact, regular T 2 {T_2}
openaire   +2 more sources

Synchrotron‐Based Deep Learning Network of the Inner Ear: Development and Expert Validation

The Laryngoscope, EarlyView.
A deep learning network to automatically segment the inner ear from preoperative clinical scans was developed using synchrotron‐radiation phase contrast imaging (SR‐PCI). On an unseen test set, the network significantly outperformed seven expert otologists/radiologists, the mean expert segmentation, and a simultaneous truth and performance level ...
Ashley Micuda, Kyle Rioux, Luke Helpard, Munir Demir Bajin, Zahra Kassam, Sachin Pandey, Jaehyun Hwang, Griselda T. Romero‐Sanchez, Manas Sharma, Lorne S. Parnes, Hanif M. Ladak, Sumit K. Agrawal   +11 more
wiley   +1 more source

Hausdorff Metric-Like, generalized Nadler's Fixed Point Theorem on Metric-Like Spaces and application [PDF]

, 2018
Aydi, Hassen/0000-0003-4606-7211; KARAPINAR, ERDAL/0000-0002-6798-3254; , Hassen/0000-0003-3896-3809In this paper, we introduce the concept of a Hausdorff dislocated metric.
Sahmim, Slah, Karapinar, Erdal, AYDI, Hassen, Felhi, Abdelbasset, Sahmim, S., Aydi, H., Felhi, A., Karapınar, Erdal   +7 more
core   +1 more source

Bayesian Optimization of Grayscale Patterns for Layer‐Height Accuracy in Projection Multi‐Photon 3D Printing

Laser &Photonics Reviews, EarlyView.
Bayesian optimization combined with in situ quantitative phase imaging enables autonomous correction of layer‐height deviations in projection multi‐photon lithography. By jointly tuning model parameters and grayscale exposure settings, the method achieves more uniform and accurate layers within 300 prints, offering a fast, data‐efficient route to ...
Jason E. Johnson, Xianfan Xu
wiley   +1 more source

The property of Kelley and continua

Revista Integración, 2019
We study Hausdorff continua with the property of Kelley. We present Hausdorff version of several results known in the metric case. We also establish a weak Hausdorff version of Jones’ Aposyndetic Decomposition Theorem.
Sergio Macías
doaj  

A Note on Sobolev‐Lorentz Capacity and Hausdorff Measure

Mathematische Nachrichten, EarlyView.
ABSTRACT In this paper, we give an elementary proof that sets of zero p,1$p,1$‐Sobolev‐Lorentz capacity are Hn−p$\mathcal {H}^{n-p}$‐null sets, independently of nonlinear potential theory. We further show that there exists a set of Sobolev‐Lorentz‐(p,1)$(p,1)$ capacity equal to zero with Hausdorff dimension equal n−p$n-p$.
Daniel Campbell
wiley   +1 more source

On the Approximation of the Cut and Step Functions by Logistic and Gompertz Functions

Biomath, 2015
We study the uniform approximation of the sigmoid cut function by smooth sigmoid functions such as the logistic and the Gompertz functions. The limiting case of the interval-valued В  step function is В  discussed В using В  Hausdorff metric.
Anton Iliev Iliev, Nikolay Kyurkchiev, Svetoslav Markov   +2 more
doaj   +1 more source

Some set-valued and multi-valued contraction results in fuzzy cone metric spaces

Journal of Inequalities and Applications, 2021
This paper aims to present the concept of multi-valued mappings in fuzzy cone metric spaces and prove some basic lemmas, a Hausdorff metric, and fixed point results for set-valued fuzzy cone-contraction and for multi-valued fuzzy cone-contraction ...
Saif Ur Rehman, Hassen Aydi, Gui-Xiu Chen, Shamoona Jabeen, Sami Ullah Khan   +4 more
doaj   +1 more source

On the nonexistence of Hausdorff-like metrics for fuzzy sets [PDF]

Pattern Recognition Letters, 2002
Summary: There has been a number of papers proposing different extensions of the Hausdorff metric to fuzzy sets. None of these proposals behave as one would intuitively expect. It is the aim of this paper to start a systematic study of the possible behaviour of metrics on fuzzy sets, and to show that under a reasonable set of axioms, like the metric ...
openaire   +1 more source

Relationship Between Limiting K‐Spaces and J‐Spaces in the Real Interpolation

Mathematische Nachrichten, EarlyView.
ABSTRACT In the paper, “Description of the K$K$‐Spaces by Means of J$J$‐Spaces and the Reverse Problem,” Mathematische Nachrichten 296, no. 9 (2023), 4002–4031, we have established conditions under which the limiting K$K$‐space (X0,X1)0,q,b;K$(X_0,X_1)_{0,q,b;K}$, involving a slowly varying function b$b$, can be described by means of the J$J$‐space (X0,
Bohumír Opic, Manvi Grover
wiley   +1 more source