Results 21 to 30 of about 6,576 (123)
Equivariant smoothing of piecewise linear manifolds
, 2017 We prove that every piecewise linear manifold of dimension up to four on which a finite group acts by piecewise linear homeomorphisms admits a compatible smooth structure with respect to which the group acts smoothly.
Lange, Christian
core +1 more source
Advanced Intelligent Discovery, EarlyView.The authors evaluated six machine‐learned interatomic potentials for simulating threshold displacement energies and tritium diffusion in LiAlO2 essential for tritium production. Trained on the same density functional theory data and benchmarked against traditional models for accuracy, stability, displacement energies, and cost, Moment Tensor Potential ...
Ankit Roy +8 more
wiley +1 more source
Heisenberg Idempotents on Unipotent Groups
, 2009 Let G be an algebraic group over an algebraically closed field of positive characteristic such that its neutral connected component is a unipotent group.
Deshpande, Tanmay
core +2 more sources
Harnessing Machine Learning to Understand and Design Disordered Solids
Advanced Intelligent Discovery, EarlyView.This review maps the dynamic evolution of machine learning in disordered solids, from structural representations to generative modeling. It explores how deep learning and model explainability transform property prediction into profound physical insight.
Muchen Wang, Yue Fan
wiley +1 more source
Exact solutions of semilinear radial Schrodinger equations by separation of group foliation variables [PDF]
, 2015 Explicit solutions are obtained for a class of semilinear radial Schrodinger equations with power nonlinearities in multi-dimensions. These solutions include new similarity solutions and other new group-invariant solutions, as well as new solutions that ...
Anco, Stephen C. +2 more
core
Fromula for the Projectively Invariant Quantization on Degree Three
, 2001 We give an explicit formula for the projectively invariant quantization map between the space of symbols of degree three and the space of third-order linear differential operators, both viewed as modules over the group of diffeomorphisms and the Lie ...
Bouarroudj, Sofiane
core +1 more source
Machine Learning Paradigm for Advanced Battery Electrolyte Development
Carbon Energy, EarlyView.Electrolyte materials determine ion transport kinetics within the bulk and interphases, ultimately influencing the performance of battery systems. As data‐driven paradigms increasingly reshape materials discovery, this review provides an application‐oriented exploration of the intersection between machine learning and electrolyte science. By evaluating
Chang Su +4 more
wiley +1 more source
Cup-product for equivariant Leibniz cohomology and zinbiel algebras
, 2018 We study finite group actions on Leibniz algebras, define equivariant cohomology groups associated to such actions. We show that there exists a cup-product operation on this graded cohomology groups which makes it a graded zinbiel algebra.Comment: 12 ...
Mukherjee, Goutam, Saha, Ripan
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The Canadian Journal of Chemical Engineering, EarlyView.Schematic representation of artificial intelligence approaches in enzyme catalysis, integrating bibliometric analysis, emerging research trends, and machine learning tools for enzyme design, prediction, and industrial biocatalytic applications. Abstract This study systematically explores the applications of artificial intelligence (AI) in enzyme ...
Misael Bessa Sales +6 more
wiley +1 more source
Conserved current for the Cotton tensor, black hole entropy and equivariant Pontryagin forms
, 2010 The Chern-Simons lagrangian density in the space of metrics of a 3-dimensional manifold M is not invariant under the action of diffeomorphisms on M. However, its Euler-Lagrange operator can be identified with the Cotton tensor, which is invariant under ...
Berline N +10 more
core +1 more source