On an inequality concerning the integrals of moduli of regular analytic functions [PDF]
, 1951 Bengt J. Andersson
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Beyond Order: Perspectives on Leveraging Machine Learning for Disordered Materials
Advanced Engineering Materials, EarlyView.This article explores how machine learning (ML) revolutionizes the study and design of disordered materials by uncovering hidden patterns, predicting properties, and optimizing multiscale structures. It highlights key advancements, including generative models, graph neural networks, and hybrid ML‐physics methods, addressing challenges like data ...
Hamidreza Yazdani Sarvestani +4 more
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IV. The influence of stress and strain on the physical properties of matter. Part I. Moduli of elasticity─ continued . The viscosity of metals [PDF]
, 1885 Herbert Tomlinson
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Advanced Engineering Materials, EarlyView.This study examines the mechanical properties of triply periodic minimal surfaces (TPMS)‐based lattices, analyzing 36 architectures in elastic and plastic regimes. It evaluates the applicability of beam‐based scaling laws to TPMS lattices. Rigidity arises from the alignment of members with the load direction and solid regions preventing rotation.
Lucía Doyle +2 more
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Moduli of abelian covers of elliptic curves [PDF]
arXiv, 2013 For any finite abelian group G, we study the moduli space of abelian $G$-covers of elliptic curves, in particular identifying the irreducible components of the moduli space. We prove that, in the totally ramified case, the moduli space has trivial rational Picard group, and it is birational to the moduli space M_{1,n}, where n is the number of branch ...
arxiv
XLIX. Elastic solid æther, with two moduli, satisfying MacCullagh's crystalline optical conditions [PDF]
, 1909 Alex McAulay
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Hybrid Framework Materials: Next‐Generation Engineering Materials
Advanced Engineering Materials, EarlyView.Hybrid organic–inorganic materials merge the unique properties of organic and inorganic compounds, enabling applications in optoelectronics, gas storage, and catalysis. This review explores metal‐organic frameworks, hybrid organic–inorganic perovskites, and the emerging field of hybrid glasses, emphasizing their structures, functionalities, and ...
Jay McCarron +2 more
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Moduli stacks of Serre stable representations in tilting theory [PDF]
arXiv, 2015 We introduce a new moduli stack, called the Serre stable moduli stack, which corresponds to studying families of point objects in an abelian category with a Serre functor. This allows us in particular, to re-interpret the classical derived equivalence between most concealed-canonical algebras and weighted projective lines by showing they are induced by
arxiv
High‐Entropy Ti, Zr, Hf, Ta Multiphase Diboride with Deformation Resistance up to 2000 °C
Advanced Engineering Materials, EarlyView.Ceramics are brittle and strength decreases with temperature. The multiphase high‐entropy (Ti0.25Ta0.25Hf0.25Zr0.25)B2 with heterogeneity at the nano‐ and microscale demonstrates deformation resistance up to 2000 °C, with maximum bending strength at 1800 °C.
Petre Badica +3 more
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Quivers and moduli spaces of pointed curves of genus zero [PDF]
Algebr. Comb. 4 (2021), 89-124, 2015 We construct moduli spaces of representations of quivers over arbitrary schemes and show how moduli spaces of pointed curves of genus zero like the Grothendieck-Knudsen moduli spaces $\overline{M}_{0,n}$ and the Losev-Manin moduli spaces $\overline{L}_n$ can be interpreted as inverse limits of moduli spaces of representations of certain bipartite ...
arxiv