Results 231 to 240 of about 193,463 (332)

Rational points on even‐dimensional Fermat cubics

open access: yesTransactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley   +1 more source

Dynamic Contrast Enhanced—Magnetic Resonance Fingerprinting (DCE‐MRF) Improves Detection of Induced Vascular Perfusion Reduction in a Mouse Breast Cancer Model

open access: yesMagnetic Resonance in Medicine, Volume 95, Issue 6, Page 3369-3385, June 2026.
ABSTRACT Purpose Dynamic contrast‐enhanced MRI (DCE‐MRI) can assess tumor perfusion using pharmacokinetic models. However, poor DCE‐MRI reproducibility from reliance on conventional T1‐weighted MRI has limited clinical translation. We evaluated whether Dynamic Contrast Enhanced‐Magnetic Resonance Fingerprinting (DCE‐MRF), which directly generates ...
Christina J. MacAskill   +15 more
wiley   +1 more source

Free‐Running Three‐Dimensional Cardiac Extracellular Volume Mapping in a Single Scan With Mid‐Scan Contrast Injection

open access: yesMagnetic Resonance in Medicine, Volume 95, Issue 6, Page 3360-3368, June 2026.
ABSTRACT Purpose To develop a new method for free‐running three‐dimensional (3D) extracellular volume mapping of the heart in a single scan with mid‐scan contrast injection. Methods 3D cardiac MR imaging was performed with a single scan that acquired k‐space data continuously using an inversion recovery (IR) sequence with a spoiled gradient‐echo ...
Wonil Lee   +8 more
wiley   +1 more source

Building a Digital Twin for Material Testing: Model Reduction and Data Assimilation

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT The rapid advancement of industrial technologies, data collection, and handling methods has paved the way for the widespread adoption of digital twins (DTs) in engineering, enabling seamless integration between physical systems and their virtual counterparts.
Rubén Aylwin   +5 more
wiley   +1 more source

Nonlinear Model Order Reduction on Polynomial Manifolds for Computational Homogenisation Problems

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT Model order reduction (MOR) techniques utilising nonlinear approximation spaces can search for solutions to computational homogenisation problems on low‐dimensional approximation spaces. In combination with hyperreduction techniques, this allows for computations on representative volume elements (RVEs) to be accelerated by multiple orders of ...
Erik Faust, Lisa Scheunemann
wiley   +1 more source

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