Results 111 to 120 of about 10,590 (247)
Amenability Constants for Unconditional Sums of Banach Algebras
Mathematische Nachrichten, EarlyView.ABSTRACT We study Johnson amenability for unconditional direct sums of Banach algebras. Given a family (Ai)i∈I$(A_i)_{i\in I}$ of Banach algebras and a Banach sequence lattice E$E$ on I$I$, the E$E$‐sum ⨁i∈IAiE${\bigl (\bigoplus _{i\in I} A_i\bigr)}_{\!E}$ carries a natural Banach algebra structure via coordinatewise multiplication.
Tomasz Kania, Jerzy Ka̧kol
wiley +1 more source
Visibility and Intersection Density for Boolean Models in Hyperbolic Space
Mathematische Nachrichten, EarlyView.ABSTRACT For Poisson particle processes in hyperbolic space we introduce and study concepts analogous to the intersection density and the mean visible volume, which were originally considered in the analysis of Boolean models in Euclidean space. In particular, we determine a necessary and sufficient condition for the finiteness of the mean visible ...
Tillmann Bühler +2 more
wiley +1 more source
Psychology &Marketing, EarlyView.ABSTRACT This study addresses the need to understand human engagement with empathic Generative Artificial Intelligence (GenAI) digital companions (DC), as these systems increasingly fulfil social and emotional roles in daily life. Motivated by the rapid adoption of DC technologies and their potential to reshape human–AI relationships, the study applies
Aitor Ezker‐Galech +3 more
wiley +1 more source
Materials Genome Engineering Advances, EarlyView.This research proposes a physics‐informed generative machine learning framework to design SHA800, a crack‐free γ′‐strengthened nickel‐based superalloy for laser powder bed fusion, achieving a 43% γ′ volume fraction and 587 HV0.2 hardness. ABSTRACT Fabricating γ′‐strengthened nickel‐based superalloys via laser powder bed fusion (LPBF) faces significant ...
Kai Guo +11 more
wiley +1 more source
Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
wiley +1 more source
Magnetic Resonance in Medicine, EarlyView.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
wiley +1 more source
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To improve the accuracy of diffusion‐weighted powder average signals for diffusion encoding with arbitrary b‐tensors. Methods We identify an intrinsic dihedral (D2$$ {D}_2 $$) symmetry of diffusion signals for arbitrary diffusion encoding, which defines their natural signal space (a quotient of 3D rotations).
Sune Nørhøj Jespersen +1 more
wiley +1 more source
N-body problem in $R^n$: Necessary conditions for a constant configuration measure
Electronic Journal of Differential Equations, 2008 A formulation of the N-body problem is presented in which $m_{i}$ and $r_{i}in mathbb{R}^d$ are the mass and the position vector of the i-th body, $ x=(sqrt{m_{1}}r_{1},dots ,sqrt{m_{N}}r_{N})in mathbb{R}^n$ and $ n=dN$ ($d=1,2,3$).
Kal Zare
doaj
Enhancing Optical Lattice Clock Coherence Times with Erasure Conversion
PRX QuantumIncreasing coherent interrogation times is central to advancing the precision of optical clocks. Synchronous differential optical clock comparisons have now demonstrated atomic coherence times that far exceed the coherence time of the clock laser.
Shuo Ma +8 more
doaj +1 more source
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To present a novel, nonlinear subspace modeling and joint k–q‐space reconstruction technique for high‐resolution, multi‐band, multi‐shell diffusion‐weighted imaging (DWI). Methods High b‐value (> 1000 s/mm2), high resolution DWI has the drawback of generally low signal‐to‐noise ratios (SNRs).
Julius Glaser +4 more
wiley +1 more source