Results 51 to 60 of about 259,447 (315)

A graph discretization of the Laplace–Beltrami operator [PDF]

Journal of Spectral Theory, 2015
We show that eigenvalues and eigenfunctions of the Laplace–Beltrami operator on a Riemannian manifold are approximated by eigenvalues and eigenvectors of a (suitably weighted) graph Laplace operator of a proximity graph on an epsilon-net.
Burago, D, Ivanov, S, Kurylev, Y
openaire   +4 more sources

Transient Current Responses of Organic Electrochemical Transistors: Evaluating Ion Diffusion, Chemical Capacitance, and Series Elements

Advanced Functional Materials, EarlyView.
This work establishes a general theory of the current transient of ionic‐electronic transistors under a step of gate voltage. The dominant effect is a transient charging of the channel by diffusion of ions. The additional influence of electrolyte capacitance and resistance splits the fundamental time constant of diffusion into two different components.
Juan Bisquert, Nir Tessler
wiley   +1 more source

Spectral Approach to Derive the Representation Formulae for Solutions of the Wave Equation

Journal of Applied Mathematics, 2012
Using spectral properties of the Laplace operator and some structural formula for rapidly decreasing functions of the Laplace operator, we offer a novel method to derive explicit formulae for solutions to the Cauchy problem for classical wave equation in
Gusein Sh. Guseinov
doaj   +1 more source

Factorization of Darboux-Laplace transformations for discrete hyperbolic operatros [PDF]

Theoretical and Mathematical Physics, 2019, 199:2, 16pp, 2018
Elementary Darboux--Laplace transformations for semidiscrete and discrete second order hyperbolic operators are classified. It is proved that in the (semi)-discrete case there are two types of elementary Darboux--Laplace transformations as well: Darboux transformations that are defined by the choice of particular element in the kernel of the initial ...
arxiv   +1 more source

Biologically‐Inspired Melt Electrowriting for the Generation of Highly Biomimetic Functional Myocardium

Advanced Functional Materials, EarlyView.
In this work, melt electrowriting is used to fabricate a 3D printed scaffold design that generates engineered cardiac tissues with in‐plane contraction, mimicking natural myocardium. It is shown that these tissues display advanced maturation and functionality.
Olalla Iglesias‐García, María Flandes‐Iparraguirre, Pilar Montero‐Calle, Ricardo M. Rosales, Asier Ullate‐Agote, Andrea Sánchez‐Bueno, Eduardo Larequi, Ilazki Anaut‐Lusar, Nicolás Laita, Aida Oliván‐Viguera, Elena Iglesias, Gloria Abizanda, Patxi San Martín‐Úriz, Paula Aguirre‐Ruiz, Xabier L. Aranguren, Manuel García de Yébenes, Juan José Gavira, Miguel Ángel Martínez, Estefanía Peña, Manuel Doblaré, Elena M. de‐Juan‐Pardo, Esther Pueyo, Felipe Prosper, Manuel M. Mazo Vega   +23 more
wiley   +1 more source

Comparative assessment of satellite‐ and drone‐based vegetation indices to predict arthropod biomass in shrub‐steppes

Ecological Applications, Volume 32, Issue 8, December 2022., 2022
Abstract Arthropod biomass is a key element in ecosystem functionality and a basic food item for many species. It must be estimated through traditional costly field sampling, normally at just a few sampling points. Arthropod biomass and plant productivity should be narrowly related because a large majority of arthropods are herbivorous, and others ...
J. Traba, J. Gómez‐Catasús, A. Barrero, D. Bustillo‐de la Rosa, J. Zurdo, I. Hervás, C. Pérez‐Granados, E. L. García de la Morena, A. Santamaría, M. Reverter   +9 more
wiley   +1 more source

Soft Pneumatic Device Designed to Mimic the Periosteal Environment for Regulating the Fate of Mesenchymal Stem Cells

Advanced Healthcare Materials, EarlyView.
This study presents a custom‐made soft pneumatic device (SPD) that mimics complex mechanical forces and fluid flow to enhance in vitro cell differentiation. It shows that low mechanotransduction promotes MSC differentiation into osteoprogenitor cells, while high mechanotransduction causes structural disruptions and cell detachment, providing new ...
Gwang‐Bum Im, Jae Gyeong Lee, Hosub Lim, Jae‐Won Lee, Hyun Su Park, Yongju Kim, Nauman Asad, Hak‐Rin Kim, Jeong Jae Wie, Suk Ho Bhang   +9 more
wiley   +1 more source

Polyphenol‐Derived Carbonaceous Frameworks with Multiscale Porosity for High‐Power Electrochemical Applications

Advanced Materials, EarlyView.
This review examines the fluid dynamic behavior within carbonaceous porous structures, linking structural characteristics to electrolyte transport and electrochemical performance. Specifically, it quantitatively assesses the effect of polyphenol derivatives‐harnessed multiscale pore structures on active surface utilization and electrochemical activity ...
Minjun Kim, Joon Ho Jang, Myeong Gyun Nam, Pil J. Yoo   +3 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

Thermally Activated Swelling and Wetting Transition of Frozen Polymer Brushes:a New Concept for Surface Functionalization

Advanced Materials, EarlyView.
A novel approach is introduced that leverages polymer phase transitions to modulate brush behavior. The oleophilic bottle brush system exhibits two distinct melting transitions—bulk and surface—enabling a two‐stage swelling and wetting transition.
Luciana Buonaiuto, Sander Reuvekamp, Billura Shakhayeva, Enqing Liu, Franziska Neuhaus, Björn Braunschweig, Sissi de Beer, Frieder Mugele   +7 more
wiley   +1 more source