Results 101 to 110 of about 1,215,177 (342)
Eigenfunctions of the Laplace-Beltrami operator on hyperboloids
Tamkang Journal of Mathematics, 2008 Eigenfunctions of the Laplace-Beltrami operator on a hyperboloid are studied in the spirit of the treatment of the spherical harmonics by Stein and Weiss. As a special case, a simple self-contained proof of Laplace’s integral for a Legendre function is obtained.
M. K. Vemuri, Amritanshu Prasad
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A Wearable In‐Pad Diagnostic for the Detection of Disease Biomarkers in Menstruation Blood
Advanced Science, EarlyView.MenstruAI integrates a paper‐based biosensor into sanitary pads to detect biomarkers in menstrual blood, enabling accessible, lab‐free diagnostics health. The platform supports early disease detection, especially in underserved communities, while challenging menstrual stigma and opening pathways for scalable, inclusive, and sustainable population ...
Lucas Dosnon +3 more
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Some relations between fractional Laplace operators and Hessian operators
Bruno Pini Mathematical Analysis Seminar, 2011 After recalling the many representations of the fractional Laplace operator and some of its important properties, some recent results (proved in a joint work with Bruno Franchi and Igor Verbitsky) about the relations between the k-Hessian energy of the k-
Fausto Ferrari
doaj
Advanced Science, EarlyView.The natural fiber@MXene‐engineered chitosan aerogel with hierarchically oriented channels is developed in this study. The photon‐entrapping networks cooperated with oriented channels to facilitate water transport and improve solar‐thermal/environmental energy synergy, endowing an evaporation rate up to 4.40 kg m−2 h−1 and efficient salt rejection ...
Qin Su +11 more
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Nanoporous Capillary Gripper for Ultragentle Micro‐Object Manipulation
Advanced Science, EarlyView.Microscale pick‐and‐place requires low‐pressure handling and controllable adhesion due to the increased fragility and reduced size of components. A capillary gripper with nanoporous surface enables switchable capillary adhesion, achieving ultralow “off‐state” stickiness for reliable micro‐scale pick‐and‐place of delicate objects.
Seong Jae Kim +5 more
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, 2002 We analyze geometry of the second order differential operators, having in mind applications to Batalin--Vilkovisky formalism in quantum field theory. As we show, an exhaustive picture can be obtained by considering pencils of differential operators acting on densities of all weights simultaneously. The algebra of densities, which we introduce here, has
Khudaverdyan, Hovhannes +1 more
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Advanced Science, EarlyView.This review spotlights key advances in chiral halide perovskite materials and devices, covering device architectures, fabrication methods, and emerging applications like circularly polarized light functions, neuromorphic computing, and spintronics. It explores structure‐property relationships and chirality transfer mechanisms, discusses challenges in ...
Qi Liu, Hui Ren, Qi Wei, Mingjie Li
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The Application of Abstract Algebra in Operational Calculus
Fractal and FractionalThis paper is dedicated to elucidating the abstract algebraic structure of operational calculus theory. Based on abstract algebra and operational calculus, the operator algebra theory of Mikusiński has been revised. We restate the concept of Mikusiński’s
Ruiheng Jiang, Tianyi Zhou, Yajun Yin
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On Nodal Sets for Dirac and Laplace Operators [PDF]
Communications in Mathematical Physics, 1997 LaTeX, uses pstricks macro-package, 15 pages with 2 figures; to appear in Commun.
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Enhancing Solid Oxide Fuel Cells Development through Bayesian Active Learning
Advanced Energy Materials, EarlyView.This article presents an active learning approach using Bayesian optimization to calibrate the multiphase‐field model parameters for simulating the aging of Ni‐GDC anodes in SOFCs. By integrating experimental data and navigating through complex parameter spaces, it enhances predictive accuracy and provides insights into microstructural evolution ...
R. K. Jeela +6 more
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