Results 131 to 140 of about 7,273 (258)

Tate modules as condensed modules

Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.
Abstract We prove that the category of countable Tate modules over an arbitrary discrete ring embeds fully faithfully into that of condensed modules. If the base ring is of finite type, we characterize the essential image as generated by the free module of infinite countable rank under direct sums, duals and retracts.
Valerio Melani, Hugo Pourcelot, Gabriele Vezzosi   +2 more
wiley   +1 more source

Gromov-Hausdorff distances between quotient metric spaces

The Hausdorff distance measures how far apart two sets are in a common metric space. By contrast, the Gromov-Hausdorff distance provides a notion of distance between two abstract metric spaces.
Bruda, Glenn, Du, Jianda, Adams, Henry, van Rensburg, Lodewyk Jansen, Panish, Connor, Rugenstein, Chris, Wall, Martin, Narayanan, Saketh, Albornoz, Armando, Leon, Alejandro   +9 more
core  

Sections and projections of the outer and inner regularizations of a convex body

Mathematika, Volume 72, Issue 3, July 2026.
Abstract We establish new geometric inequalities comparing the volumes of sections and projections of a convex body, whose barycenter or Santaló point is at the origin, with those of its inner and outer regularizations. We also provide functional extensions of these inequalities to the setting of log‐concave functions. Our approach relies on the recent
Natalia Tziotziou
wiley   +1 more source

The illusory correlation between geometrical similarity and physician satisfaction in heart auto‐segmentation revealed by a physician‐blind test

Journal of Applied Clinical Medical Physics, Volume 27, Issue 6, June 2026.
Abstract Background Auto‐segmentation tools are essential in adaptive radiation therapy (ART). While evaluation typically relies on geometric metrics like Dice similarity coefficient (DSC), high scores do not always translate to clinical acceptability.
Jae Choon Lee, Eun Jeong Heo, Song Heui Cho, Dong Yun Lee, Kyung Hwan Chang, Jang Bo Shim, Nam Kwon Lee, Suk Lee   +7 more
wiley   +1 more source

Quantitative assessment of CBCT image quality metrics and their translation to clinical Art workflow performance in breast cancer patients

Journal of Applied Clinical Medical Physics, Volume 27, Issue 6, June 2026.
Abstract Background Online adaptive radiotherapy (ART) relies on cone‐beam computed tomography (CBCT) imaging for daily treatment adaptation, but CBCT's physical limitations can compromise contour delineation and dose calculation accuracy. The relationship between image quality metrics and clinical ART workflow accuracy remains unclear.
Sunhwa Kim, Young Kyu Lee, Wonjoong Cheon, Yunji Seol, Byung‐Ock Choi, Young Nam Kang   +5 more
wiley   +1 more source

Lorentzian metric spaces and their Gromov–Hausdorff convergence

Letters in Mathematical Physics
AbstractWe present an abstract approach to Lorentzian Gromov–Hausdorff distance and convergence, and an alternative approach to Lorentzian length spaces that does not use auxiliary “positive signature” metrics or other unobserved fields. We begin by defining a notion of (abstract) bounded Lorentzian metric space which is sufficiently general to ...
E. Minguzzi, S. Suhr
openaire   +4 more sources

Cross‐anatomical evaluation of a deep‐learning auto‐contouring system: qualitative, geometric, and dosimetric validation

Journal of Applied Clinical Medical Physics, Volume 27, Issue 6, June 2026.
Abstract Background Accurate and consistent delineation of target and normal structures is essential for safe and effective radiotherapy. Compared with manual or atlas‐based methods, deep learning‐based auto‐contouring has demonstrated improved efficiency and reduced interobserver variability. However, its performance can vary across anatomical regions
Sara Endo, Masaki Nakamura, Takeshi Fujisawa, Hidehiro Hojo, Hidenobu Tachibana   +4 more
wiley   +1 more source

Some Fixed Point Results for Multivalued Mappings in b−Multiplicative and b−Metric Space

International Journal of Analysis and Applications, 2020
The main outcome of this paper is to introduce the notion of Hausdorff b-multiplicative metric space and to present some fixed point results for multivalued mappings in this space.
Mazhar Mehmood, Abdullah Shoaib, Hamza Khalid   +2 more
doaj  

The Hausdorff metric andCˇebysˇev centres

Journal of Approximation Theory, 1980
Borwein, J., Keener, L.
openaire   +2 more sources

Decoding Choroid Plexus Pathology in Alzheimer's Disease: A Longitudinal Radiomics Approach for Prodromal Identification and Risk Stratification

CNS Neuroscience &Therapeutics, Volume 32, Issue 6, June 2026.
A machine learning model utilizing choroid plexus (CP) radiomics effectively distinguishes Alzheimer's disease (AD) from mild cognitive impairment (MCI) and predicts MCI‐to‐AD progression risk. After integration with clinical features, the model exhibits strong predictive performance. The CP radiomics features correlate significantly with cognitive and
Feiyue Yin, Xiaohua Wang, Xiao Chen, Jinju Sun, Kai Zhang, Xiaojuan Dong, Wenwen Wang, Peng Zeng, Binglan Li, Lisha Nie, Dan Luo, Yongmei Li, Tianyou Luo, Alzheimer's Disease Neuroimaging Initiative   +13 more
wiley   +1 more source