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Lipschitz Interpolating Sequences

Results in Mathematics
Let $X$ be a metric space with a base point $0$, and let $\mathrm{Lip}_0(X)$ be the Banach space of all Lipschitz functions $f:X\longrightarrow \mathbb R$ such that $f(0)=0$. Given a set of points $\left((x_i,y_i)\right)_{i\in I}$ in $X^2$ with $x_i\neq y_i$ for all $i\in I$, we study the following interpolation problem: when for each bounded set ...
A. Jiménez-Vargas, Abraham Rueda Zoca
openaire   +2 more sources

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

Advanced 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, Roberta Gabrieli, Avzal Akbarov, Nigora Nigmatova, Bekhzod Khabilov, Alessandro Schiavi, Martin Schwentenwein, Enrica Verné, Francesco Baino   +8 more
wiley   +1 more source

What Do Large Language Models Know About Materials?

Advanced 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, Thomas Wallmersperger, Gianaurelio Cuniberti   +2 more
wiley   +1 more source

Hardy interpolating sequences of hyperplanes [PDF]

Pacific Journal of Mathematics, 1989
A sufficient condition is given on unions of complex hyperplanes in the unit ball of \({\mathbb{C}}^ n\) so that they allow extension of functions in the Hardy \(H^ 1\) space. The result is compared to Varopoulos' theorem about zeros of \(H^ p\) functions.
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Ab Initio Study on 3D Anisotropic Ferroelectric Switching Mechanism and Coercive Field in HfO2 and ZrO2

Advanced Functional Materials, EarlyView.
This study uncovers a new switching mechanism in HfO2 and ZrO2, where the absence of a non‐polar layer along the a‐direction induces interaction between polar layers. Consequently, the switching barriers for growth are lower than those for nucleation in this direction, leading to a size‐dependent coercive field that matches experimental observations ...
Kun Hee Ye, Taeyoung Jeong, Seungjae Yoon, Dohyun Kim, Yunjae Kim, Cheol Seong Hwang, Jung‐Hae Choi   +6 more
wiley   +1 more source

Perception-motivated interpolation of image sequences

Proceedings of the 5th symposium on Applied perception in graphics and visualization, 2008
We present a method for image interpolation that is able to create high-quality, perceptually convincing transitions between recorded images. By implementing concepts derived from human vision, the problem of a physically correct image interpolation is relaxed to that of image interpolation which is perceived as visually correct by human observers.
Timo Stich, Christian Linz, Christian Wallraven, Douglas Cunningham, Marcus Magnor   +4 more
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Interpolating Sequences of Parabolic Bergman Spaces [PDF]

Potential Analysis, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nishio, Masaharu, Suzuki, Noriaki, Yamada, Masahiro   +2 more
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Next‐Generation Bio‐Reducible Lipids Enable Enhanced Vaccine Efficacy in Malaria and Primate Models

Advanced Functional Materials, EarlyView.
Structure–activity relationship (SAR) optimization of bio‐reducible ionizable lipids enables the development of highly effective lipid nanoparticle (LNP) mRNA vaccines. Lead LNPs show superior tolerability and antibody responses in rodents and primates, outperforming approved COVID‐19 vaccine lipids.
Ruben De Coen, Sabah Kasmi, Shrinivas Dumbre, Lies Baekens, Elise Seynaeve, Louise Van den Hauwe, Niccolò Cantini, Aello Garantoudi, Filipe Branco Madeira, Alain Marrot, Emma Tuypens, Sofie Seghers, Anna Kuchmiy, Elisabeth Brabants, Bart Vanderborght, Ine Maes, Sarah Vandenberghe, Jessica Filtjens, Alícia Gordún Peiró, Daliya Kancheva, Ayla Debraekeleer, Florence Lambolez, Emily De Lombaerde, Yong Chen, Rafael Miyazawa Martins, Pauline Formaglio, Damya Laoui, Sofie Deschoemaeker, Bruno G. De Geest, Rogerio Amino, Stefaan De Koker   +30 more
wiley   +1 more source

On interpolation of interpolating sequences

Indagationes Mathematicae, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Image Sequence Interpolation Using Optimal Control [PDF]

Journal of Mathematical Imaging and Vision, 2011
The problem of the generation of an intermediate image between two given images in an image sequence is considered. The problem is formulated as an optimal control problem governed by a transport equation. This approach bears similarities with the Horn \& Schunck method for optical flow calculation but in fact the model is quite different.
Chen, Kanglin, Lorenz, Dirk A.
openaire   +2 more sources