Results 121 to 130 of about 12,262 (250)

The Long Shadow of Karl Weierstraß Over the Calculus of Variations

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT At first glance, it appears that the contents of Karl Weierstraß's (1815–1897) lecture courses on the calculus of variations were made available to the public only in the seventh volume of his Mathematische Werke, and thus not until 30 years after his death.
Peter Ullrich
wiley   +1 more source

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
wiley   +1 more source

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

Hilbert series of right-angled affine Artin monoid $M(\widetilde{A}^{\infty}_{n})$

Kuwait Journal of Science, 2017
It is already proved that the growth rate of all the spherical Artin monoids is less than 4. In this paper, we find the Hilbert series of the associated right-angled affine Artin monoid M and also we discuss the recurrence relations and the growth of ...
Zaffar Iqbal, Sidra Batool, Muhammad Akram   +2 more
doaj  

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, Janne Nurminen, Mikko Salo   +2 more
wiley   +1 more source

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, Antonio Ledda, Pierluigi Graziani   +2 more
wiley   +1 more source

Generative MR Multitasking With Complex‐Harmonic Cardiac Encoding: Bridging the Gap Between Gated Imaging and Real‐Time Imaging

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
wiley   +1 more source

A Practical Guide to First‐Principles Calculations for Pseudocapacitive Materials: From Electrochemical Experiments to Atomistic Understanding

ChemElectroChem, Volume 13, Issue 20, 16 October 2026.
Electrochemical experiments reveal what happens, whereas first principles calculations explain why. Emerging computational electrochemistry is bridging these perspectives, enabling quantitative understanding of electrode/electrolyte interfaces and enabling the rational design of next‐generation energy storage materials.
Kenji Oqmhula, Ryo Maezono, Kenta Hongo
wiley   +1 more source

基于振动信号诊断齿轮断齿故障新方法

Jixie chuandong, 2012
According to the nonstationarity and nonlinearity of the broken teeth fault of gear,the Hilbert-Huang transform is employed.Firstly,the a series of Intrinsic Mode Functions（IMFs） are obtained by the Empirical Mode Decomposition （EMD）method.Secondly,the ...
严作堂, 陈宏
doaj  

A Multimodal Deep Learning Based Framework for Early and Accurate Diagnosis of Depression Using Electroencephalography and Event‐Related Potential Signals

Applied AI Letters, Volume 7, Issue 3, October 2026.
Cross Wavelet Transform (XWT) is combined with a pre‐trained AlexNet to extract rich time‐frequency features from non‐stationary EEG signals. Also, the proposed framework simultaneously extracts and integrates spatial (Node2vec), time‐frequency (XWT + AlexNet), and spectral (PSD + TSCN) features from EEG and ERP signals within a parallel architecture ...
Atefeh Abedzadeh Attar, Mohammad Hossein Moattar, Yahya Forghani   +2 more
wiley   +1 more source