Results 61 to 70 of about 246,310 (302)
Singular Laplacian growth [PDF]
Physical Review E, 1998 8 pages, Latex, 4 figures, Submitted to Phys.
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Advanced Science, EarlyView.This study presents a novel microscopic imaging system capable of rapid, section‐free scanning of irregular tissue surfaces, delivering high sensitivity for detecting cancer cell clusters during intraoperative tumor margin assessment. Abstract Rapid and accurate intraoperative examination of tumor margins is crucial for precise surgical treatment, yet ...
Zhicheng Shao +17 more
wiley +1 more source
The second immanant of some combinatorial matrices [PDF]
Transactions on Combinatorics, 2015 Let $A = (a_{i,j})_{1 leq i,j leq n}$ be an $n times n$ matrix where $n geq 2$. Let $dt(A)$, its second immanant be the immanant corresponding to the partition $lambda_2 = 2,1^{n-2}$.
R. B. Bapat +1 more
doaj
Laplacian integral signed graphs with few cycles
AIMS Mathematics, 2023 A connected graph with n vertices and m edges is called k-cyclic graph if k=m−n+1. We call a signed graph is Laplacian integral if all eigenvalues of its Laplacian matrix are integers.
Dijian Wang, Dongdong Gao
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Primer for the algebraic geometry of sandpiles [PDF]
, 2011 The Abelian Sandpile Model (ASM) is a game played on a graph realizing the dynamics implicit in the discrete Laplacian matrix of the graph. The purpose of this primer is to apply the theory of lattice ideals from algebraic geometry to the Laplacian ...
Perkinson, David +2 more
core
Advanced Science, EarlyView.Asymmetric iron single‐atom catalysts with Sabatier‐adjusted d‐band centers overcome the inherent limitations of peroxymonosulfate (PMS) activation by establishing a synergistic nonradical pathway network, achieving exceptional pollutant mineralization (≈85%) at only one‐tenth conventional PMS dosage.
Yue Chen +10 more
wiley +1 more source
Exponential Decay of Eigenfunctions and Accumulation of Eigenvalues on Manifolds with Axial Analytic Asymptotically Cylindrical Ends [PDF]
, 2010 In this paper we continue our study of the Laplacian on manifolds with axial analytic asymptotically cylindrical ends initiated in~arXiv:1003.2538. By using the complex scaling method and the Phragm\'{e}n-Lindel\"{o}f principle we prove exponential decay
Kalvin, Victor
core
Mathematical Prediction for Geometry‐Mediated Cell 3D In‐Growth on Bone Tissue Engineering Scaffolds
Advanced Science, EarlyView.This study identifies a fundamental pore size dependent pattern of three dimensional bone marrow derived mesenchymal stem cell (BMSC) infiltration within porous scaffolds, where small pores promote horizontal cellular bridging and large pores facilitate vertical migration.
Xiang Gao +15 more
wiley +1 more source
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.
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Multi‐View Biomedical Foundation Models for Molecule‐Target and Property Prediction
Advanced Science, EarlyView.Molecular foundation models can provide accurate predictions for a large set of downstream tasks. We develop MMELON, an approach that integrates pre‐trained graph, image, and text foundation models and validate our multi‐view model on over 120 tasks, including GPCR binding.
Parthasarathy Suryanarayanan +17 more
wiley +1 more source