Results 71 to 80 of about 249,760 (328)

Laplacians on Lattices [PDF]

Journal of Nonlinear Mathematical Physics, 2005
We consider some lattices and look at discrete Laplacians on these lattices. In particular we look at solutions of the equation $\triangle(1) = \triangle(2)Z$ where $\triangle(1)$ and $\triangle(2)$ are two such laplacians on the same lattice. We discuss solutions of this equation in some special cases.
openaire   +2 more sources

From Cell‐Free Transcriptomes to Single‐Cell Landscapes: Biomarker Discovery and Originating Cell Alteration Analysis via Graph Matrix Factorization

Advanced Science, EarlyView.
CellFreeGMF traces plasma cfRNA to likely originating cell types by integrating single‐cell atlases with graph‐regularized matrix factorization. The method decomposes cfRNA profiles into sample–cell contributions to reconstruct pseudo single‐cell expression.
Wenxiang Zhang, Wenjing Zhang, Hang Wei, Shiyan Liu, Junliang Shang, Weijie Gong, Hanwen Cheng, Xiujuan Lei, Yuhui Kou, Baoguo Jiang   +9 more
wiley   +1 more source

Spectra of the neighbourhood corona of two graphs

, 2013
Given simple graphs $G_1$ and $G_2$, the neighbourhood corona of $G_1$ and $G_2$, denoted $G_1\star G_2$, is the graph obtained by taking one copy of $G_1$ and $|V(G_1)|$ copies of $G_2$, and joining the neighbours of the $i$th vertex of $G_1$ to every ...
Liu, Xiaogang, Zhou, Sanming
core   +1 more source

A Correlative SICM‐OPM Platform for Surface and Volumetric Imaging in Live Cells

Advanced Science, EarlyView.
A multifunctional correlative imaging platform integrating Scanning Ion Conductance Microscopy (SICM) with Oblique Plane Microscopy (OPM) enables simultaneous surface topography, mechanical mapping, and 3D volumetric fluorescence imaging in live cells.
Wenzhi Hong, Ziwei Zhang, Ao Li, Ting Sun, Yunzhao Wu, Devkee M. Vadukul, Dylan Jones, Bing Li, Fengjie Liu, Francesco A. Aprile, Yuri Korchev, Julia Gorelik, David Klenerman, Andrew Shevchuk   +13 more
wiley   +1 more source

Spheres, tears, and spears: Regulating the perimeter and circularity of millimeter‐sized alginate hydrogel beads

AIChE Journal, EarlyView.
Abstract Generating hydrogel beads pertains to many engineering applications. We examined two alginate‐based fluids at three concentrations of alginate, cAG$$ {c}_{\mathrm{AG}} $$. We used the “Map of Misery” to determine which material property (viscosity, elasticity, and inertia) drives droplet formation.
Conor G. Harris, Katherine D. Bandettini, Hannah K. Gedde, Lewis Semprini, Kaitlin C. Fogg, Willie E. Rochefort   +5 more
wiley   +1 more source

Laplacian coefficients of unicyclic graphs with the number of leaves and girth

, 2013
Let $G$ be a graph of order $n$ and let $\mathcal{L}(G,\lambda)=\sum_{k=0}^n (-1)^{k}c_{k}(G)\lambda^{n-k}$ be the characteristic polynomial of its Laplacian matrix. Motivated by Ili\'{c} and Ili\'{c}'s conjecture [A. Ili\'{c}, M.
Zhang, Jie, Zhang, Xiao-Dong
core   +1 more source

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

Isolation and Reactivity of a Square‐Planar Trisamido Silane

Angewandte Chemie, EarlyView.
We report the synthesis and comprehensive characterisation of a square‐planar Si(+IV) hydride supported by an unsymmetric, trianionic and dearomatised N,N,N‐pincer ligand. This system enables element–ligand cooperative reactivity as an alternative to silicon‐centred redox chemistry, illuminating a largely unexplored regime in high‐valent silicon ...
David M. J. Krengel, Xiaobai Wang, Christopher Golz, Regine Herbst‐Irmer, Oliver P. E. Townrow, Malte Fischer   +5 more
wiley   +2 more sources

On fractional Laplacians $– 2$

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2016
For s > −1 we compare two natural types of fractional Laplacians (−\mathrm{\Delta })^{s} , namely, the “Navier” and the “Dirichlet” ones.
Roberta Musina, Alexander I. Nazarov
openaire   +3 more sources

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