Results 111 to 120 of about 11,194,513 (228)
Hilbert Transform Pairs of Wavelets
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT The orthogonal projection of a real orthonormal wavelet basis onto the Hardy space—consisting of functions whose Fourier transform is supported only on the positive real axis—yields a Parseval frame of wavelets. Motivated by practical considerations, Kingsbury proposed the use of two real scaling functions from multiresolution analyses (MRAs ...
Moritz Proell
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The Plant Phenome Journal, Volume 9, Issue 1, December 2026.Abstract Multispectral three‐dimensional (3D) imaging offers substantial potential for plant phenotyping, yet manual segmentation of plant organs remains a bottleneck in breeding programs. We developed a color‐based filtering workflow for faba bean (Vicia faba L.) point clouds that optimizes lower and upper thresholds of spectral indices and broadband ...
Lennart Scheer +6 more
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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
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Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract This article studies the inverse problem of recovering a nonlinearity in an elliptic equation Δu+a(x,u)=0$\Delta u + a(x,u) = 0$ from boundary measurements of solutions. Previous results based on first‐order linearization achieve this under a sign condition on ∂ua(x,u)$\partial _u a(x,u)$, and results based on higher order linearization ...
David Johansson +2 more
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A Common External Framework for Kleene and McCarthy Algebras
Mathematical Logic Quarterly, Volume 72, Issue 4, November 2026.ABSTRACT Algebras of disjoint alternatives (ADAs), introduced by Manes, are extensions of McCarthy algebras by a unary operator acting as an oracle for the halting problem, and provide a semantics for the equational theory of the if–then–else construct.
Gandolfo Vergottini +2 more
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Finite-time and predefined-time dynamical systems for solving strongly pseudomonotone mixed equilibrium problems. [PDF]
PLoS OneWen Q, Khan VK, Cai QB, Ahmad MK.
europepmc +1 more source
Magnetic Resonance in Medicine, Volume 96, Issue 5, Page 2106-2126, November 2026.ABSTRACT Purpose To accelerate MRI further, rapid B0 field modulations can be applied during oversampled readout to capture additional physical information, as in Wave‐CAIPI/FRONSAC/local B0 coils modulation techniques. These methods, however, turn the Fourier readout into a non‐Fourier‐encoded dimension that cannot be reconstructed by FFT, posing ...
Rui Tian, Klaus Scheffler
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A second-order dynamical system for solving inverse quasi-variational inequalities and its application. [PDF]
PLoS OneGan T, Khan VK, Ahmad MK, Cai QB.
europepmc +1 more source
Magnetic Resonance in Medicine, Volume 96, Issue 5, Page 2440-2450, November 2026.ABSTRACT Purpose To develop a unified image reconstruction framework that bridges real‐time and gated cardiac MRI, including quantitative MRI. Methods We introduce generative multitasking, which learns subject‐ and dataset‐specific implicit neural temporal bases from sequence timings and an interpretable latent space for cardiac and respiratory motion.
Xinguo Fang, Anthony G. Christodoulou
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Intrinsic Quantization of Linear Hamiltonian Systems. [PDF]
Entropy (Basel)Accardi L, Pandiscia C.
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