Results 121 to 130 of about 9,371 (281)

Measure of noncompactness of operators and matrices on the spaces c and c0

International Journal of Mathematics and Mathematical Sciences, 2006
In this note, using the Hausdorff measure of noncompactness, necessary and sufficient conditions are formulated for a linear operator and matrices between the spaces c and c0 to be compact.
Bruno De Malafosse, Eberhard Malkowsky, Vladimir Rakocevic   +2 more
doaj   +1 more source

On Oriented Colourings of Graphs on Surfaces

Journal of Graph Theory, Volume 112, Issue 4, Page 357-369, August 2026.
ABSTRACT For an oriented graph G, the least number of colours required to oriented colour G is called the oriented chromatic number of G and denoted χ o ( G ). For a non‐negative integer g let χ o ( g ) be the least integer such that χ o ( G ) ≤ χ o ( g ) for every oriented graph G with Euler genus at most g.
Alexander Clow
wiley   +1 more source

On intersections of Cantor sets - Hausdorff measure [PDF]

Tyt. z nagłówka.Bibliogr. s. 596-597.We establish formulas for bounds on the Haudorff measure of the intersection of certain Cantor sets with their translates.
Pedersen, Steen.
core  

Edge‐Length Preserving Embeddings of Graphs Between Normed Spaces

Journal of Graph Theory, Volume 112, Issue 4, Page 491-506, August 2026.
ABSTRACT The concept of graph embeddability, initially formalized by Belk and Connelly and later expanded by Sitharam and Willoughby, extends the question of embedding finite metric spaces into a given normed space. A finite simple graph G = ( V , E ) is said to be ( X , Y )‐embeddable if any set of induced edge lengths from an embedding of G into a ...
Sean Dewar, Eleftherios Kastis, Derek Kitson, William Sims   +3 more
wiley   +1 more source

A modality‐agnostic coronary artery habitat model for cardiac sparing in radiotherapy

Medical Physics, Volume 53, Issue 8, August 2026.
Abstract Background Emerging evidence suggests that the risk of cardiotoxicity increases with increased radiation dose to coronary arteries (CAs). However, robust tools to evaluate this increased burden for cancer patients are not available due to current limitations in imaging for radiotherapy treatment planning.
Chase Ruff, Nicholas Summerfield, Ming Dong, Prashant Nagpal, Adam Bayliss, Andrew M. Baschnagel, Carri K. Glide‐Hurst   +6 more
wiley   +1 more source

The bounded variation capacity and Sobolev-type inequalities on Dirichlet spaces

Advances in Nonlinear Analysis
In this article, we consider the bounded variation capacity (BV capacity) and characterize the Sobolev-type inequalities related to BV functions in a general framework of strictly local Dirichlet spaces with a doubling measure via the BV capacity.
Xie Xiangyun, Liu Yu, Li Pengtao, Huang Jizheng   +3 more
doaj   +1 more source

Clinical Applications of Multimodal Artificial Intelligence in Otolaryngology: A State‐of‐the‐Art Review

Otolaryngology–Head and Neck Surgery, Volume 175, Issue 2, Page 304-315, August 2026.
Abstract Objective Artificial intelligence (AI) has advanced to simultaneously process visual, auditory, and textual inputs, providing users with “multimodal” AI. Given the clinical integration potential of these tools, otolaryngologists must stay informed. This study reviews current literature on applications of multimodal AI in otolaryngology.
Ying Jie Li, Flora Su, Norbert Banyi, Philip Edgcumbe, Andrew Thamboo, Ameen Amanian   +5 more
wiley   +1 more source

Development of an Artificial Intelligence–Driven Three‐Dimensional Reconstruction Model of Renal Vasculature for Surgical Planning in Robot‐Assisted Partial Nephrectomy

The International Journal of Medical Robotics and Computer Assisted Surgery, Volume 22, Issue 4, August 2026.
ABSTRACT Background This single‐centre study aimed to implement and internally validate a deep learning pipeline based on a 3D SegResNet architecture for automatic segmentation of renal vascular structures from contrast‐enhanced CT images, enabling accurate three‐dimensional reconstructions to support surgical planning in robot‐assisted partial ...
Davide Brusa, Riccardo Bertolo, Francesco Ditonno, Greta Pettenuzzo, Lorenzo Pierangelo Treccani, Alessandro Veccia, Filippo Caudana, Francesco Fontana, Maria Angela Cerruto, Alessandro Antonelli   +9 more
wiley   +1 more source

Hausdorff Dimension of Caloric Measure

American Journal of Mathematics
abstract: We examine caloric measures $\omega$ on general domains in $\RR^{n+1}=\RR^n\times\RR$ (space $\times$ time) from the perspective of geometric measure theory. On one hand, we give a direct proof of a consequence of a theorem of Taylor and Watson (1985) that the lower parabolic Hausdorff dimension of $\omega$ is at least $n$ and $\omega\ll ...
Badger, Matthew, Genschaw, Alyssa
openaire   +3 more sources

Rendering transparency to ranking in educational assessment via Bayesian comparative judgement

Review of Education, Volume 14, Issue 2, August 2026.
Abstract Transparency in educational assessment has become an increasingly pressing concern, particularly in the aftermath of the pandemic, as institutions seek more equitable, robust and defensible methods of evaluating student work. Comparative judgement (CJ) has gained traction as a promising alternative to traditional rubric‐based marking. However,
Andy Gray, Stephen Lindsay, Jen Pearson, Tom Crick, Alma Rahat   +4 more
wiley   +1 more source