Results 111 to 120 of about 8,561 (218)

Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract This paper addresses an inverse source problem for acoustic waves in a range of frequencies. Our study has two main goals. First, although the problem is severely ill‐posed with a logarithmic stability estimate, we demonstrate, through careful analysis of the forward map's singular values, that increasing the frequency range enhances stability,
Pu‐Zhao Kow, Jenn‐Nan Wang
wiley   +1 more source

Multiple‐TE Based Blood–Brain‐Barrier Water Exchange Time Measurement Using a TE‐Resolved 3D TSE Stack‐Of‐Spirals Readout

Magnetic Resonance in Medicine, Volume 96, Issue 4, Page 1629-1644, October 2026.
ABSTRACT Purpose To develop a slice‐wise blurring‐free and densely sampled TE‐resolved multiple‐TE (mTE) ASL sequence (TASL) for measuring blood–brain barrier (BBB) water exchange time. Methods A 3D TSE spiral‐readout pCASL sequence was modified to enable TE‐resolved acquisition.
Bo Li, Yiran Li, Xiao Liang, Amnah Mahroo, Manuel Taso, Marta Vidorreta Díaz de Cerio, Lucas Lemos Franco, Yulin Chang, María Asunción Fernández Seara, Matthias Günther, John A. Detre, Ze Wang   +11 more
wiley   +1 more source

Exploring Advanced Versions of Hermite-Hadamard and Trapezoid-Type Inequalities by Implementation of Fuzzy Interval-Valued Functions

Journal of Function Spaces
The extension of interval-valued and real-valued functions known as fuzzy interval-valued function (FIVF) has made substantial contributions to the theory of interval analysis.
Yaqun Niu, Rana Safdar Ali, Naila Talib, Shahid Mubeen, Gauhar Rahman, Çetin Yildiz, Fuad A. Awwad, Emad A. A. Ismail   +7 more
doaj   +1 more source

On Some Integral Properties of Modified Bessel Functions

Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics, 2015
Summary: New integral equations for modified Bessel functions of an arbitrary complex order are presented. The properties of Lebedev-Skalskaya integral transforms are investigated.
openaire   +1 more source

Denoising of ASL Data Using Deep Learning Priors Generated From Distribution Remapping

Magnetic Resonance in Medicine, Volume 96, Issue 4, Page 1972-1982, October 2026.
ABSTRACT Purpose To develop an effective deep learning (DL)–based method to denoise arterial spin labeling (ASL) data. Methods Conventional DL–based ASL denoising methods often suffer from overfitting and poor generalization when training data are limited.
Ziyang Xu, Rong Guo, Ziwen Ke, Yudu Li, Yibo Zhao, Wen Jin, Ruihao Liu, Ziyu Meng, Yao Li, Zhi‐Pei Liang   +9 more
wiley   +1 more source

Model‐Agnostic Influential Outlier Metric

Stat, Volume 15, Issue 3, September 2026.
ABSTRACT The influential outlier metric (IOM) provides model‐agnostic influential outlier detection. We define influence of an observation using a combination of SHapley Additive exPlanation (SHAP) values and the residual. Both are transformed using normalizing flows, changing their respective measures to Gaussian distributions.
Colin C. Jones, David A. Campbell
wiley   +1 more source

Scalar Casimir effect in the presence of extra dimensions with helix boundary conditions

上海师范大学学报. 自然科学版, 2012
In this paper,we consider the scalar Casimir effect for parallel plates in the presence of extra dimensions with helix boundary conditions.Using zeta function regularization technique,we get the Casimir pressure explicitly expressed by the modified ...
GE Feifei, ZHAI Xianghua
doaj  

Reactive Mixing Fronts in Porous Media Under Transverse Velocity Gradients

Geophysical Research Letters, Volume 53, Issue 15, 16 August 2026.
Abstract Mixing‐limited reactions in porous media depend on concentration gradients at interfaces, yet their behavior in nonuniform co‐flow remains poorly understood. Here we develop a closed‐form theory for irreversible reactions A+B→P $A+B\to P$ in a co‐flow where a transverse velocity gradient makes transverse hydrodynamic dispersion vary linearly ...
Yubo Cheng, Kai Zhang, Zijing Li, Tetsuya Suekane, Chunwei Zhang   +4 more
wiley   +1 more source

An integral containing a Bessel Function and a Modified Bessel Function of the First Kind

, 2017
Here we discuss the calculation of an integral containing the Bessel function J0(r) and the modified Bessel function of the first kind I1(r). The calculus is based on a function of J0(r), I1(r) and of their derivatives, having a Wronskian form. The method here described could be useful for training the students in the manipulation of such integrals.
openaire   +2 more sources

Multiple Bound States in the Continuum in Deep‐Subwavelength Nonlocal Polar Dielectric Nanoparticles

Nanophotonics, Volume 15, Issue 15, 13 August 2026.
Spatial dispersion in polar‐dielectric core–shell nanoparticles enable multiple deep‐subwavelength bound states in the continuum through longitudinal‐transverse hybrid modes. By suppressing radiative damping at finite geometrical parameters, these nonlocality‐induced BICs provide a compact platform for high Q light confinement, enhanced light–matter ...
Man Lin, Ye Zhang, Xiaofeng Xu, Fengchuan Xu, Yunqiao Yin, Jie Luo, Lei Gao   +6 more
wiley   +1 more source