Results 61 to 70 of about 14,462,668 (184)
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Intramolecular (RO)2PO→Halogen interaction versus intermolecular (RO)2PO···HOH hydrogen bonds. Although the O···I distance is shorter than the sum of the van der Waals radii of the atoms involved, there is no covalency involved in this interaction.
David Mross +6 more
wiley +1 more source
A Crystalline Ylide‐Stabilized Stibenium Cation
The isolation of a stibenium cation stabilized by two thiophosphinoyl‐tethered ylide groups is reported. The cation is accessible via salt metathesis of the metalated ylide with SbCl3 and features CSb single bonds, with lone pairs remaining localized at the ylidic carbon atoms.
Daniel Knyszek +4 more
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Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver
A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
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Isolation and characterization of Se‐brominated Hügerschoff intermediates enable structural and mechanistic insight into seleno‐Hügerschoff cyclization to 2‐aminobenzoselenazoles. ABSTRACT A brominated intermediate within the Hügerschoff reaction has long been postulated but never directly observed.
Adam W. E. Stewart +5 more
wiley +1 more source
This study developed a two‐stage model using radiomics‐based multiparametric MRI and clinical indicators to help identify and grade clinically significant prostate cancer. The model showed promising levels of diagnostic accuracy and predictive performance.
Yuyan Zou +10 more
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Nonlinear Resonance Modulation in Single‐Crystalline VO2‐Integrated Si Ring Resonator
This work first demonstrates a single‐crystalline VO2–Si hybrid ring resonator. The epitaxial lift‐off process enables high‐quality VO2 integration on the dissimilar Si photonic platform. The high‐quality VO2 film exhibits exceptional nonlinear resonance modulation and a steep optical transition across the metal‐insulator transition. ABSTRACT The metal‐
Sebae Park +5 more
wiley +1 more source
Bayesian optimization combined with in situ quantitative phase imaging enables autonomous correction of layer‐height deviations in projection multi‐photon lithography. By jointly tuning model parameters and grayscale exposure settings, the method achieves more uniform and accurate layers within 300 prints, offering a fast, data‐efficient route to ...
Jason E. Johnson, Xianfan Xu
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In Vivo Mapping of Catecholaminergic Loss and Iron Deposition in Huntington's Disease
Abstract Background The pathophysiology of Huntington's disease (HD) remains obscure. Magnetic resonance imaging (MRI) can reveal in vivo molecular changes related to disease pathology. Objectives To investigate catecholaminergic neuronal integrity and subcortical brain iron accumulation in HD employing neuromelanin‐sensitive MRI, and quantitative ...
Edoardo R. de Natale +11 more
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ABSTRACT The main results of this paper are the global existence and long time behavior of solutions of a fractional wave equation with a nonlocal nonlinearity. The techniques in this work rely on norm estimates of the solutions of εutt+ut+(−Δ)βu=0,u(0,x)=φ(x),ut(0,x)=ψ(x),$$ \varepsilon {u}_{tt}+{u}_t+{\left(-\Delta \right)}^{\beta }u=0,\kern1em u ...
Ibrahim Ahmad Suleman, Mokhtar Kirane
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