Results 61 to 70 of about 102,179 (232)

Structural Eigenmodes of the Brain to Improve the Source Localization of EEG: Application to Epileptiform Activity

Advanced Science, EarlyView.
Geometry and connectivity are complementary structures, which have demonstrated their ability to represent the brain's functional activity. This study evaluates geometric and connectome eigenmodes as biologically informed constraints for EEG source localization.
Pok Him Siu, Philippa J. Karoly, Sina Mansour L., Artemio Soto‐Breceda, Levin Kuhlmann, Mark J. Cook, David B. Grayden   +6 more
wiley   +1 more source

Surface Energy Modulated Self‐Assembly of Percolative Gallium Nanodroplet Films for Stretchable Electronics

Advanced Electronic Materials, EarlyView.
Surface‐energy guided self‐assembly of liquid metals enables the transformation of liquid metal micro/nanodroplets into continuous perocolative films on elastomeric substrates. By tailoring interfacial energetics and wetting behavior, uniform, conductive, and stretchable films are achieved, offering scalable pathways for high‐performance soft ...
Alwar Samy Ramasamy, Gayatri Subhalaxmi, Sneha Banerjee, Mark Vailshery, Renu Raman Sahu, Sivakumar K.S, Ajisha Chathyattu, Tapajyoti Das Gupta   +7 more
wiley   +1 more source

The $Z$-invariant massive Laplacian on isoradial graphs

, 2016
We introduce a one-parameter family of massive Laplacian operators $(\Delta^{m(k)})_{k\in[0,1)}$ defined on isoradial graphs, involving elliptic functions. We prove an explicit formula for the inverse of $\Delta^{m(k)}$, the massive Green function, which
Boutillier, Cédric, de Tilière, Béatrice, Raschel, Kilian   +2 more
core   +4 more sources

On Normalized Signless Laplacian Resolvent Energy

Kragujevac Journal of Mathematics
Summary: Let \(G\) be a simple connected graph with \(n\) vertices. Denote by \(\mathcal{L}^+(G) =D(G)^{-1/2}Q(G) D(G)^{-1/2}\) the normalized signless Laplacian matrix of graph \(G\), where \(Q(G)\) and \(D(G)\) are the signless Laplacian and diagonal degree matrices of \(G\), respectively. The eigenvalues of matrix \(\mathcal{L}^+(G)\), \(2=\gamma_1^+
Altindağ, Ş. B. Bozkurt, Milovanović, I., Milovanović, E., Matejić, M.   +3 more
openaire   +2 more sources

Energy and Laplacian of fractal interpolation functions [PDF]

Applied Mathematics-A Journal of Chinese Universities, 2017
In this paper, we first characterize the finiteness of fractal interpolation functions (FIFs) on post critical finite self-similar sets. Then we study the Laplacian of FIFs with uniform vertical scaling factors on Sierpinski gasket (SG). As an application, we prove that the solution of the following Dirichlet problem on SG is an FIF with uniform ...
Li, Xiaohui, Ruan, Huojun
openaire   +3 more sources

Deep Learning Prediction of Surface Roughness in Multi‐Stage Microneedle Fabrication: A Long Short‐Term Memory‐Recurrent Neural Network Approach

Advanced Intelligent Discovery, EarlyView.
A sequential deep learning framework is developed to model surface roughness progression in multi‐stage microneedle fabrication. Using real‐world experimental data from 3D printing, molding, and casting stages, an long short‐term memory‐based recurrent neural network captures the cumulative influence of geometric parameters and intermediate outputs ...
Abdollah Ahmadpour, Sara Soltanabadi Farshi, Tuanna Ozcan, Amir Mohammad Ketabchi, Alper Kiraz, Savas Tasoglu   +5 more
wiley   +1 more source

A Note on the Laplacian Energy of the Power Graph of a Finite Cyclic Group

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
In this study, the Laplacian matrix concept for the power graph of a finite cyclic group is redefined by considering the block matrix structure. Then, with the help of the eigenvalues of the Laplacian matrix in question, the concept of Laplacian energy ...
Şerife Büyükköse, Nurşah Mutlu Varlıoğlu   +1 more
doaj   +1 more source

Solutions for the Problems Involving Fractional Laplacian and Indefinite Potentials

Advanced Nonlinear Studies, 2017
In this paper, we consider a class of Schrödinger equations involving fractional Laplacian and indefinite potentials. By modifying the definition of the Nehari–Pankov manifold, we prove the existence and asymptotic behavior of least energy solutions.
Tang Zhongwei, Wang Lushun
doaj   +1 more source

Laplacian energy of a graph

Linear Algebra and its Applications, 2006
The authors introduce the concept of Laplacian energy of a graph \(G\) by letting \(LE(G)=\sum_{i=1}^n | \mu_i - \frac{2m}{n}| \), where \(\mu_i\), \(i=1,\dots,n\), are the eigenvalues of the Laplacian matrix of \(G\). They show that the above definition is well chosen and much in analogy with the usual graph energy \(E(G)\), which is the sum of ...
Gutman, Ivan, Zhou, Bo
openaire   +1 more source

Interpretable Machine Learning for Solvent‐Dependent Carrier Mobility in Solution‐Processed Organic Thin Films

Advanced Intelligent Discovery, EarlyView.
This work establishes a correlation between solvent properties and the charge transport performance of solution‐processed organic thin films through interpretable machine learning. Strong dispersion interactions (δD), moderate hydrogen bonding (δH), closely matching and compatible with the solute (quadruple thiophene), and a small molar volume (MolVol)
Tianhao Tan, Lian Duan, Dong Wang
wiley   +1 more source