Results 81 to 90 of about 1,623,067 (304)

Development and Preliminary In Vivo Study of 3D‐Printed Bioactive Glass Scaffolds with Trabecular Architecture

open access: yesAdvanced Engineering Materials, EarlyView.
This study reports the fabrication of trabecular bioactive glass scaffolds (composition “1d”: 46.1SiO2‐28.7CaO‐8.8MgO‐6.2P2O5‐5.7CaF2‐4.5Na2O wt%) through vat photopolymerization and the relevant results from mechanical testing and in vivo implantation procedures in rabbit femora, showing great promise for bone tissue engineering applications.
Dilshat Tulyaganov   +8 more
wiley   +1 more source

Doob's Type Inequality and Strong Law of Large Numbers for Demimartingales

open access: yesJournal of Inequalities and Applications, 2010
We establish some maximal inequalities for demimartingales which generalize the result of Wang (2004). The maximal inequality for demimartingales is used as a key inequality to establish other results including Doob's type maximal inequality, strong law
Xuejun Wang   +3 more
doaj  

Best Possible Sufficient Conditions for Strong Law of Large Numbers for Multi-Indexed Orthogonal Random Elements

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2007
It will be shown and induced that the d-dimensional indices in the Banach spaces version conditions ∑n(E‖Xn‖p/|nα|p)
Kuo-Liang Su
doaj   +1 more source

A strong law of large numbers for capacities. [PDF]

open access: yes
We consider a totally monotone capacity on a Polish space and a sequence of bounded p.i.i.d. random variables. We show that, on a full set, any cluster point of empirical averages lies between the lower and the upper Choquet integrals of the random ...
Fabio Maccheroni, Massimo Marinacci
core  

Adaptable Tile‐Based Pneumatic Origami through Structurally Coupled Localized Actuation

open access: yesAdvanced Engineering Materials, EarlyView.
This article presents tile‐based pneumatic origami structures with rigid tiles and flexible fabric creases, achieving adaptable properties including morphing shape, selective multistability, and tunable stiffness. Independently pressurized folding bladders at each crease enable structurally coupled localized actuation of origami structures.
Tiantian Li, Jonathan Luntz, Diann Brei
wiley   +1 more source

A new proof for the generalized law of large numbers under Choquet expectation

open access: yesJournal of Inequalities and Applications, 2020
In this article, we employ the elementary inequalities arising from the sub-linearity of Choquet expectation to give a new proof for the generalized law of large numbers under Choquet expectations induced by 2-alternating capacities with mild assumptions.
Jing Chen, Zengjing Chen
doaj   +1 more source

What Do Large Language Models Know About Materials?

open access: yesAdvanced Engineering Materials, EarlyView.
If large language models (LLMs) are to be used inside the material discovery and engineering process, they must be benchmarked for the accurateness of intrinsic material knowledge. The current work introduces 1) a reasoning process through the processing–structure–property–performance chain and 2) a tool for benchmarking knowledge of LLMs concerning ...
Adrian Ehrenhofer   +2 more
wiley   +1 more source

Hybrid Auxetic Architectures: Integrating Curvature‐Driven Design for Enhanced Mechanical Tunability and Structural Performance

open access: yesAdvanced Engineering Materials, EarlyView.
Curvature‐tuned auxetic lattices are designed, fabricated, and mechanically characterized to reveal how geometric curvature governs stretchability, stress redistribution, and Poisson's ratio evolution. Photoelastic experiments visualize stress pathways, while hyperelastic simulations quantify deformation mechanics.
Shuvodeep De   +3 more
wiley   +1 more source

Strong Laws of Large Numbers for 𝔹-Valued Random Fields

open access: yesDiscrete Dynamics in Nature and Society, 2009
We extend to random fields case, the results of Woyczynski, who proved Brunk's type strong law of large numbers (SLLNs) for 𝔹-valued random vectors under geometric assumptions.
Zbigniew A. Lagodowski
doaj   +1 more source

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