Results 111 to 120 of about 3,294 (223)

New discretised polynomial expander and incidence estimates

Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.
Abstract We present two applications of recent developments in incidence geometry. One is a δ$\delta$‐discretised version of a particular ‘Elekes–Rónyai’ expander problem. The second is an incidence estimate addressing the scenario in which both tubes, squares and their shadings satisfy non‐concentration assumptions.
Ciprian Demeter, William O'Regan
wiley   +1 more source

Graph‐null sets

Mathematika, Volume 72, Issue 4, October 2026.
Abstract We say that a plane set A$A$ is graph‐null, if there is a function g:[0,1]→R$g\colon [0,1]\rightarrow {\mathbb {R}}$ such that λ2(A+graphg)=0$\lambda _2 (A+{\rm graph}\, g)=0$. A plane set A$A$ has the translational Kakeya property if, for every translated copy A′$A^{\prime }$ of A$A$ and for every ε>0$\varepsilon >0$, there is a finite ...
M. Laczkovich, A. Máthé
wiley   +1 more source

Approximating the Directed Hausdorff Distance

Computing in Geometry and Topology
The Hausdorff distance is a metric commonly used to compute the set similarity of geometric sets. For sets containing a total of n points, the exact distance can be computed naively in O(n2) time.
Oliver Chubet, Parth Parikh, Donald Sheehy, Siddharth Sheth   +3 more
doaj   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.
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
wiley   +1 more source

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15358-15384, 15 September 2026.
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
wiley   +1 more source

Deep learning auto‐contouring of target and organs‐at‐risk on post‐catheter implant CT images for prostate HDR brachytherapy

Journal of Applied Clinical Medical Physics, Volume 27, Issue 9, September 2026.
Abstract Background Accurate delineation of the prostate and surrounding organs‐at‐risk (OARs) is essential for HDR prostate brachytherapy. Manual contouring on post‐catheter CT images is time‐consuming and prone to variability due to artifacts and anatomical deformation from the implanted brachytherapy catheters.
Eric M. Wallat, Joseph B. Schulz, John M. Floberg, Gregory Cooley, Bryan P. Bednarz, Jordan M. Slagowski   +5 more
wiley   +1 more source

Clinical evaluation of novel deep learning‐based auto‐segmentation software: Utility and potential pitfalls

Journal of Applied Clinical Medical Physics, Volume 27, Issue 9, September 2026.
Abstract Background Accurate contouring of target volumes and organs at risk is critical in radiotherapy. While deep learning (DL) models offer automated contouring, their clinical applicability to real‐world cases containing anatomical variations and artifacts requires rigorous validation.
Ryota Tozuka, Masahide Saito, Masaki Matsuda, Tomoko Akita, Hikaru Nemoto, Zhe Chen, Takafumi Komiyama, Kazuma Mochizuki, Noriyuki Kadoya, Keiichi Jingu, Hiroshi Onishi   +10 more
wiley   +1 more source

Evaluation of inter‐fractional anatomical variations due to compression belt placement reproducibility using MR‐guided radiotherapy treatment fraction images

Journal of Applied Clinical Medical Physics, Volume 27, Issue 9, September 2026.
Abstract Background Abdominal compression (AC) using a belt‐based system is widely employed in radiation therapy to limit respiration‐induced target motion for abdominal and hepatic malignancies. While AC has demonstrated efficacy in reducing intrafraction motion amplitude, the interfractional anatomical consequences of daily compression belt (CB ...
Olivia Shay, David Solis, Morgan Aire, Christopher Schneider, Krystal Kirby   +4 more
wiley   +1 more source

A Review of Artificial Intelligence in Ophthalmology: Key Aspects, Challenges, and Future Directions

Eye &ENT Research, Volume 3, Issue 3, Page 125-154, September 2026.
ABSTRACT Artificial intelligence (AI) is increasingly reshaping ophthalmology because the specialty depends heavily on structured imaging, quantitative measurements, and repeatable diagnostic workflows. This review provides a clinically grounded and translationally oriented synthesis of AI in ophthalmology, covering methodological foundations ...
Partha Pratim Ray
wiley   +1 more source

Neural Correlates of Fall Risk in People Aged 50 and Over With Chronic Low Back Pain: A Multimodal MRI Study

European Journal of Pain, Volume 30, Issue 8, September 2026.
ABSTRACT Background Chronic low back pain (CLBP) is common in older people and contributes to disability, physical inactivity, cognitive deficits and neural alterations that may increase fall risk. We examined associations between multimodal brain measures and daily‐life gait quality and other fall risk factors in older people with CLBP. Methods Thirty‐
Mahsa Seydi, Kim Delbaere, Meghan Ambrens, James K. Richardson, Caroline D. Rae, Jun Cao, Perminder S. Sachdev, Louise Lavrencic, Michael A. Green, Kimberley S. van Schooten   +9 more
wiley   +1 more source