Results 91 to 100 of about 42,946 (260)

What is the total Betti number of a random real hypersurface [PDF]

open access: yes, 2011
We bound from above the expected total Betti number of a high degree random real hypersurface in a smooth real projective manifold. This upper bound is deduced from the equirepartition of critical points of a real Lefschetz pencil restricted to the ...
D. Gayet, Jean-Yves Welschinger
semanticscholar   +1 more source

Addressing Sustainability Challenges in Peptide Synthesis with Flow Chemistry and Machine Learning

open access: yesChemistry – A European Journal, Volume 31, Issue 72, December 23, 2025.
A synthetic protocol for polypeptides 6–58 residue long, using recyclable greener solvent mixture (Anisole/DMSO) was developed and compared to traditional SPPS methods and to state‐of‐the‐art synthesizers. Abstract The high cost and the large amount of toxic waste generated during peptide production overshadow the current technology, requiring the ...
Kristóf Ferentzi   +2 more
wiley   +1 more source

Gradient Ricci Solitons on Spacelike Hypersurfaces of Lorentzian Manifolds Admitting a Closed Conformal Timelike Vector Field

open access: yesMathematics
In this article, we investigate Ricci solitons occurring on spacelike hypersurfaces of Einstein Lorentzian manifolds. We give the necessary and sufficient conditions for a spacelike hypersurface of a Lorentzian manifold, equipped with a closed conformal ...
Norah Alshehri, Mohammed Guediri
doaj   +1 more source

Machine Learning Approaches in Soft Matter Molecular Simulation and Materials Characterization: Challenges and Perspectives

open access: yesChemPlusChem, Volume 90, Issue 12, December 10, 2025.
Rigorous frameworks construction toward the development of science‐based machine learning (ML) schemes: invocation of statistical learning and data‐driven methods within the diverse materials science fields, from materials characterization to molecular modeling utilizing domain knowledge to facilitate fundamental understanding and scientific discovery.
Niki Vergadou, Vassilios Constantoudis
wiley   +1 more source

On the equivalence of two curvature conditions for Lorentzian hypersurfaces

open access: yesArab Journal of Mathematical Sciences, 2017
Let n≥3. We show that semi-symmetry and Ricci-semisymmetry conditions are equivalent for any n-dimensional Lorentzian hypersurface in a Lorentzian space form with nonzero curvature.
Mohammed Guediri, Norah Alshehri
doaj   +1 more source

An Index Theorem for Modules on a Hypersurface Singularity [PDF]

open access: yes, 2011
A topological interpretation of Hochster's Theta pairing of two modules on a hypersurface ring is given in terms of linking numbers. This generalizes results of M. Hochster and proves a conjecture of J. Steenbrink.
R. Buchweitz, D. Straten
semanticscholar   +1 more source

2D population balance modeling and ML‐based multi‐objective optimization for the crystallization process of resveratrol

open access: yesAIChE Journal, Volume 71, Issue 12, December 2025.
Abstract Crystallization is critical in pharmaceutical manufacturing, influencing active pharmaceutical ingredient (API) purity and processability. This study models the cooling crystallization of resveratrol in a water‐ethanol solvent using a two‐dimensional population balance model (2D‐PBM). Experimental data from Focused Beam Reflectance Measurement
Álmos Orosz   +5 more
wiley   +1 more source

Metasurfaces in Adaptive Optics: A New Opportunity in Optical Wavefront Sensing

open access: yesLaser &Photonics Reviews, Volume 19, Issue 24, December 17, 2025.
Wavefront sensing constitutes a critical component of adaptive optics systems, aimed at quantitatively measuring distorted wavefronts and enabling closed‐loop correction in optical setups. Metasurfaces, as planar optical elements composed of nanoscale structures, provide exceptional freedom in modulating multiple dimensions of the light field.
Rundong Fan   +3 more
wiley   +1 more source

On hypersurfaces in a locally affine Riemannian Banach manifold II

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
In our previous work (2002), we proved that an essential second-order hypersurface in an infinite-dimensional locally affine Riemannian Banach manifold is a Riemannian manifold of constant nonzero curvature.
El-Said R. Lashin, Tarek F. Mersal
doaj   +1 more source

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