Results 41 to 50 of about 546,655 (283)

A natural Finsler-Laplace operator [PDF]

Israel Journal of Mathematics, 2013
We give a new definition of a Laplace operator for Finsler metric as an average with regard to an angle measure of the second directional derivatives. This definition uses a dynamical approach due to Foulon that does not require the use of connections nor local coordinates.
openaire   +3 more sources

Bioinspired Adaptive Surfaces for Intelligent Liquid Manipulation: Progressing From Passive and Active to Hybrid Strategies

Advanced Materials, EarlyView.
This review examines passive, active, and hybrid liquid manipulation strategies, highlighting hybrid approaches as an emerging route to reconcile energy efficiency with adaptive control. By actively reconstructing passive surfaces to store programmable interfacial energy, hybrid systems enable flexible yet low‐power liquid transport, with perspectives ...
Jiaqi Miao, Yiyuan Zhang, Liqiu Wang, Alan C. H. Tsang   +3 more
wiley   +1 more source

Fractional Operators Associated with the ք-Extended Mathieu Series by Using Laplace Transform

Advances in Mathematical Physics, 2021
In this paper, our leading objective is to relate the fractional integral operator known as Pδ-transform with the ք-extended Mathieu series. We show that the Pδ-transform turns to the classical Laplace transform; then, we get the integral relating the ...
Hafte Amsalu Kahsay, Adnan Khan, Sajjad Khan, Kahsay Godifey Wubneh   +3 more
doaj   +1 more source

Ultrathin Hydrogel Membranes Inspired by Soap Films Enable Physiologically Relevant Breathing Lung Models

Advanced Materials, EarlyView.
A soap‐film inspired strategy enables the fabrication of ultrathin yet robust GelMA‐PAAm membranes for breathing lung culture. The hydrogel membrane supports long‐term cyclic deformation under air‐liquid interface conditions, enabling physiologically relevant breathing motions of engineered lung tissue culture. ABSTRACT Breathing continuously stretches
Yunji Lee, Gwang Myeong Kim, Wookyeom Kim, Fenny Soetanto, Gyungin Ryu, Taehun Chung, Youn Soo Kim, Junmin Lee, Hwa‐Rim Lee, Sungjune Jung   +9 more
wiley   +1 more source

LORETA With Cortical Constraint: Choosing an Adequate Surface Laplacian Operator

Frontiers in Neuroscience, 2018
Low resolution electromagnetic tomography (LORETA) is a well-known method for the solution of the l2-based minimization problem for EEG/MEG source reconstruction. LORETA with a volume-based source space is widely used and much effort has been invested in
Todor Iordanov, Harald Bornfleth, Carsten H. Wolters, Vesela Pasheva, Georgi Venkov, Benjamin Lanfer, Michael Scherg, Tobias Scherg   +7 more
doaj   +1 more source

Volatile Memristive Devices With Tunable Temporal Dynamics For Event‐Based Sensing

Advanced Materials, EarlyView.
Tunable volatile memristive devices can serve various neural‐inspired tasks that require different time windows of information retention. The ionic‐based volatility of the presented Pt/a‐STO/TaOx/Ta device stack can be reproducibly and controllably tuned in multiple ways.
Dimitrios Spithouris, Johannes Hellwig, Hugh Greatorex, Clemens Wittberg, Panagiotis Koutsogiannis, César Magén, Elisabetta Chicca, Regina Dittmann   +7 more
wiley   +1 more source

Unveiling the Hidden Geometry of OECTs: Contact‐Semiconductor Overlap Driven Errors in Volumetric Capacitance

Advanced Materials Technologies, EarlyView.
This work examines how contact–semiconductor overlap influences volumetric capacitance extraction in organic electrochemical transistors as device dimensions shrink. It shows that neglecting overlap leads to systematic, geometry‐driven errors in capacitance values.
Renan Colucci, Marcos Luginieski, Germán D. Gómez Higuita, Gerwin Dijk, Bianca de A. Feitosa, Yaakov Tuchman, Alberto Salleo, Gregório Couto Faria   +7 more
wiley   +1 more source

Ground State for the Schrödinger Operator with the Weighted Hardy Potential

International Journal of Differential Equations, 2011
We establish the existence of ground states on ℝ𝑁 for the Laplace operator involving the Hardy-type potential. This gives rise to the existence of the principal eigenfunctions for the Laplace operator involving weighted Hardy potentials. We also obtain a
J. Chabrowski, K. Tintarev
doaj   +1 more source

Wood‐Derived Nanocellulose‐Biocarbon Fresnel‐Zone Plate Lenses for Sub‐THz Frequency Applications

Advanced Materials Technologies, EarlyView.
Wood‐derived nanocellulose and lignin‐based biocarbon were combined to fabricate fully bio‐based Fresnel zone plate (FZP) lenses for sub‐terahertz frequencies. These sustainable FZP lenses exhibit low dielectric loss and high directivity, achieving performance comparable to that of metallic references, and remain functional under environmental stress ...
Riikka Haataja, Mikko Kokkonen, Niina Halonen, Sami Myllymäki, Umair Rafique, Mandeep Singh, Ossi Laitinen, Heli Jantunen, Kristiina Oksman, Henrikki Liimatainen   +9 more
wiley   +1 more source

A general quantum Laplace transform

Advances in Difference Equations, 2020
In this paper, we introduce a general quantum Laplace transform L β $\mathcal{L}_{\beta }$ and some of its properties associated with the general quantum difference operator D β f ( t ) = ( f ( β ( t ) ) − f ( t ) ) / ( β ( t ) − t ) ${D}_{\beta }f(t)= ({
Enas M. Shehata, Nashat Faried, Rasha M. El Zafarani   +2 more
doaj   +1 more source