Results 81 to 90 of about 7,436 (197)
Discrete Toeplitz/Hankel determinants and the width of non-intersecting processes [PDF]
, 2013 We show that the ratio of a discrete Toeplitz/Hankel determinant and its continuous counterpart equals a Freholm determinant involving continuous orthogonal polynomials.
Baik, Jinho, Liu, Zhipeng
core
An Effective Physics‐Informed Neural Operator Framework for Predicting Wavefields
Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 2, April 2026.Abstract Solving the wave equation is fundamental for many geophysical applications. However, numerical solutions of the Helmholtz equation face significant computational and memory challenges. Therefore, we introduce a physics‐informed convolutional neural operator (CNO) (PICNO) to solve the Helmholtz equation efficiently.
X. Ma, T. Alkhalifah
wiley +1 more source
A fractional residue theorem and its applications in calculating real integrals
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract As part of an ongoing effort to fractionalise complex analysis, we present a fractional version of the residue theorem, involving pseudo‐residues calculated at branch points. Since fractional derivatives are non‐local and fractional powers necessitate branch cuts, each pseudo‐residue depends on a line segment in the complex plane rather than a
Egor Zaytsev, Arran Fernandez
wiley +1 more source
The Steklov spectrum of spherical cylinders
Mathematika, Volume 72, Issue 2, April 2026.Abstract The Steklov problem on a compact Lipschitz domain is to find harmonic functions on the interior whose outward normal derivative on the boundary is some multiple (eigenvalue) of their trace on the boundary. These eigenvalues form the Steklov spectrum of the domain.
Spencer Bullent
wiley +1 more source
Rational points in a family of conics over F2(t)$\mathbb {F}_2(t)$
Mathematische Nachrichten, Volume 299, Issue 3, Page 496-513, March 2026.Abstract Serre famously showed that almost all plane conics over Q$\mathbb {Q}$ have no rational point. We investigate versions of this over global function fields, focusing on a specific family of conics over F2(t)$\mathbb {F}_2(t)$ which illustrates new behavior.
Daniel Loughran, Judith Ortmann
wiley +1 more source
The asymptotics a Bessel-kernel determinant which arises in Random Matrix Theory [PDF]
, 2010 In Random Matrix Theory the local correlations of the Laguerre and Jacobi Unitary Ensemble in the hard edge scaling limit can be described in terms of the Bessel kernel (containing a parameter $\alpha$).
Ehrhardt, Torsten
core
Magnetic Resonance in Medicine, Volume 95, Issue 3, Page 1336-1344, March 2026.ABSTRACT Purpose The purpose of this study was to investigate the effect of magnetization exchange on the measurement of tryptophan and NAD+ T1 relaxation times and to determine the magnetization exchange rates with a two‐spin system model using downfield 1H MRS spectroscopy at 7 T in human brain.
Sophia Swago +5 more
wiley +1 more source
NMR in Biomedicine, Volume 39, Issue 3, March 2026.We use synthetic (Aim 1), human brain (Aim 2) and phantom (Aim 3) data to assess how basis set choice affects Glu, tCr, tNAA and tCho quantification, focusing on the bias–variance trade‐off under varying SNR conditions. Including GABA, GSH, NAAG and glucose improved Glu estimates, reducing bias and variance below 10%.
Polina Emeliyanova +3 more
wiley +1 more source
Fekete-Szegö and Hankel inequalities related to the sine function
Applied Mathematics in Science and EngineeringThe Fekete-Szegö inequality is one of the inequalities for the coefficients which associated with the famous Bieberbach conjecture. Other issues associated with this inequality are determining the Hankel determinant denoted as Hd inequalities which are ...
Muhammad Ashfaq +3 more
doaj +1 more source