Results 41 to 50 of about 121 (91)

Boundary unique continuation in planar domains by conformal mapping

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract Let Ω⊂R2$\Omega \subset \mathbb {R}^2$ be a chord arc domain. We give a simple proof of the the following fact, which is commonly known to be true: a nontrivial harmonic function which vanishes continuously on a relatively open set of the boundary cannot have the norm of the gradient which vanishes on a subset of positive surface measure (arc ...
Stefano Vita
wiley   +1 more source

Bounds for generalized normalized δ-Casorati curvatures for submanifolds in Bochner Kaehler manifold

Filomat, 2018
In this paper, we prove sharp inequalities between the normalized scalar curvature and the generalized normalized ?-Casorati curvatures for different submanifolds in Bochner Kaehler manifold. Moreover, We also characterize submanifolds on which the equalities hold.
Aquib, Mohd., Shahid, Mohammad Hasan
openaire   +2 more sources

Quantization of infinitesimal braidings and pre‐Cartier quasi‐bialgebras

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract In this paper, we extend Cartier's deformation theorem of braided monoidal categories admitting an infinitesimal braiding to the nonsymmetric case. The algebraic counterpart of these categories is the notion of a pre‐Cartier quasi‐bialgebra, which extends the well‐known notion of quasi‐triangular quasi‐bialgebra given by Drinfeld.
Chiara Esposito, Andrea Rivezzi, Jonas Schnitzer, Thomas Weber   +3 more
wiley   +1 more source

Inequalities for algebraic Casorati curvatures and their applications

, 2016
The notion of different kind of algebraic Casorati curvatures are introduced. Some results expressing basic Casorati inequalities for algebraic Casorati curvatures are presented. Equality cases are also discussed. As a simple application, basic Casorati inequalities for different $δ$-Casorati curvatures for Riemannian submanifolds are presented ...
openaire   +4 more sources

Optoacoustic‐Guided Magnetic Microrobot Platform for Precision Drug Delivery

Advanced Materials, Volume 38, Issue 5, 22 January 2026.
Optoacoustically guided FePt@ZIF‐8‐based microrobots are designed with high drug loading capacity, controllable locomotion, and deep‐tissue imaging capability. By integrating navigation, drug release, and real‐time monitoring into a single platform, they provide a versatile tool for precise intervention, opening new possibilities for treating ...
Fan Wang, Erdost Yildiz, Xosé Luís Deán‐Ben, Yan Yu, Daniil Nozdriukhin, Wenbin Kang, Shuaizhong Zhang, Jelena Zinnanti, Devin Sheehan, Ren Hao Soon, Shuxin Lyu, Daniel Razansky, Metin Sitti   +12 more
wiley   +1 more source

An Optimal Inequality for Warped Product Pointwise Semi-Slant Submanifolds in Complex Space Forms

Axioms
In this paper, we utilize advanced optimization techniques on Riemannian submanifolds to establish two distinct inequalities concerning the generalized normalized δ-Casorati curvatures of warped product pointwise semi-slant (WPPSS) submanifolds within ...
Md Aquib
doaj   +1 more source

Dynamic contrast enhanced‐magnetic resonance fingerprinting (DCE‐MRF): A new quantitative MRI method to reliably assess tumor vascular perfusion

Magnetic Resonance in Medicine, Volume 94, Issue 6, Page 2578-2592, December 2025.
Abstract Purpose The clinical utility of conventional DCE‐MRI methods is limited by the use of conventional qualitative dynamic T1‐weighted images, resulting in poor reproducibility. This study presents the initial implementation of a new DCE‐magnetic resonance fingerprinting (DCE‐MRF) methodology to provide reproducible, quantitative assessments of ...
Christina J. MacAskill, Yuran Zhu, Guanhua Wang, Bernadette O. Erokwu, Chetan B. Dhakan, Andrew Dupuis, Barbara J. Schiemann, Michael Kavran, Chunying Wu, William P. Schiemann, Mark A. Griswold, Xin Yu, Mark D. Pagel, Chris A. Flask   +13 more
wiley   +1 more source

Comparison of Low‐Rank Denoising Methods for Dynamic Deuterium MRSI at 7 T

NMR in Biomedicine, Volume 38, Issue 10, October 2025.
Six low‐rank denoising methods for dynamic 2H‐MRSI were compared using simulated and in vivo data: Global PS, Local PS, Stacked PS, SPIN‐SVD, GL‐HOSVD and tMPPCA. SPIN‐SVD performed best in simulations, while SPIN‐SVD, GL‐HOSVD and tMPPCA performed well in vivo. GL‐HOSVD and tMPPCA performed similarly, with tMPPCA preferred for computational efficiency.
Anna Duguid, Fabian Niess, Wolfgang Bogner, Lukas Hingerl, Viola Bader, Sabina Frese, Aaron Osburg, Bernard Lanz, Brayan Alves, Cristina Cudalbu, Simon Daniel Robinson, Korbinian Eckstein, Bernhard Strasser   +12 more
wiley   +1 more source

Accelerating 3D radial MPnRAGE using a self‐supervised deep factor model

Magnetic Resonance in Medicine, Volume 94, Issue 3, Page 1191-1201, September 2025.
ABSTRACT Purpose To develop a self‐supervised and memory‐efficient deep learning image reconstruction method for 4D non‐Cartesian MRI with high resolution and a large parametric dimension. Methods The deep factor model (DFM) represents a parametric series of 3D multicontrast images using a neural network conditioned by the inversion time using ...
Yan Chen, Steve R. Kecskemeti, James H. Holmes, Curtis A. Corum, Nima Yaghoobi, Vincent A. Magnotta, Mathews Jacob   +6 more
wiley   +1 more source

High‐resolution, volumetric diffusion‐weighted MR spectroscopic imaging of the brain

Magnetic Resonance in Medicine, Volume 94, Issue 2, Page 450-469, August 2025.
ABSTRACT Purpose To achieve high‐resolution, three‐dimensional (3D) quantitative diffusion‐weighted MR spectroscopic imaging (DW‐MRSI) for molecule‐specific microstructural imaging of the brain. Methods We introduced and integrated several innovative acquisition and processing strategies for DW‐MRSI: (a) a new double‐spin‐echo sequence combining ...
Zepeng Wang, Bradley P. Sutton, Fan Lam
wiley   +1 more source