Results 61 to 70 of about 784 (176)
On holomorphic extension of functions on singular real hypersurfaces in ℂn
International Journal of Mathematics and Mathematical Sciences, 2001 The holomorphic extension of functions defined on a class of real hypersurfaces in ℂn with singularities is investigated. When n=2, we prove the following: every C1 function on Σ that satisfies the tangential Cauchy-Riemann equation on boundary of {(z,w)∈
Tejinder S. Neelon
doaj +1 more source
Wasserstein rigidity over Rn$\mathbb {R}^n$ with smooth norms
Mathematika, Volume 72, Issue 4, October 2026.Abstract We study p−Wasserstein$p-{\rm Wasserstein}$ spaces Wp(Rn,dN)$ \mathcal {W}_p(\mathbb {R}^n, d_N)$ over Rn$\mathbb {R}^n$ equipped with a norm metric dN$d_N$. We show that, if the norm is smooth enough, then the Wasserstein space is isometrically rigid whenever p≠2$p \ne 2$.
Zoltán M. Balogh +3 more
wiley +1 more source
Real hypersurfaces of a complex projective space
Tsukuba Journal of Mathematics, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Machine Learning for Synthetic Organic Chemistry: Methods, Applications, and Best Practices
Angewandte Chemie Novit, Volume 2, Issue 3, September 2026.Artificial intelligence (AI) and machine learning (ML) are increasingly reshaping experimental chemistry. This review maps the challenges of synthetic organic chemistry to modern digital tools that can help address them. While focusing on the practical application of ML tools in real‐world laboratory settings, we outline prerequisites, emerging ...
Niklas Hölter +3 more
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Visibility and Intersection Density for Boolean Models in Hyperbolic Space
Mathematische Nachrichten, Volume 299, Issue 9, Page 2542-2565, September 2026.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
Optical catastrophes of the swallowtail and butterfly beams
New Journal of Physics, 2017 We experimentally realize higher-order catastrophic structures in light fields presenting solutions of the paraxial diffraction catastrophe integral. They are determined by potential functions whose singular mapping manifests as caustic hypersurfaces in ...
Alessandro Zannotti +3 more
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The three‐step test in international copyright—a global framework for generative AI training
American Business Law Journal, Volume 63, Issue 3, Page 265-298, Fall 2026.Abstract The training of generative artificial intelligence (genAI) models involves the processing of large datasets, which often include copyrighted materials, thereby raising questions of copyright infringement. These questions tend to center on whether such use constitutes fair use or falls under text and data mining (TDM) exceptions.
Nicola Lucchi +2 more
wiley +1 more source
Ricci tensor of real hypersurfaces [PDF]
Pacific Journal of Mathematics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Dynamics of entanglement in expanding quantum fields
Journal of High Energy Physics, 2018 We develop a functional real-time approach to computing the entanglement between spatial regions for Gaussian states in quantum field theory. The entanglement entropy is characterized in terms of local correlation functions on space-like Cauchy ...
Jürgen Berges +2 more
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Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.ABSTRACT High‐frequency seismic wave descriptions are essential for fundamental geophysical applications, including earthquake hypocenter location, magnitude estimation, and traveltime–amplitude tomography. These descriptions rely on two coupled PDEs: the eikonal equation (governing traveltimes) and the transport equation (governing amplitudes ...
Ahmet Beyaz +2 more
wiley +1 more source