Results 101 to 110 of about 230,605 (276)

Spectral analysis of the matrix Sturm–Liouville operator

Boundary Value Problems, 2019
The self-adjoint matrix Sturm–Liouville operator on a finite interval with a boundary condition in general form is studied. We obtain asymptotic formulas for the eigenvalues and the weight matrices of the considered operator.
Natalia P. Bondarenko
doaj   +1 more source

Two shorter proofs in spectral graph theory

Publikacije Elektrotehnickog fakulteta - serija: matematika, 2003
We give shorter proofs of two inequalities already known in spectral graph theory.
Slobodan Simic, Dragan Stevanovic
openaire   +2 more sources

Unveiling Multidimensional Physicochemical Design Principles for Tissue Processing Hydrogels

Advanced Functional Materials, EarlyView.
This study establishes a materials‐based design framework for polymer hydrogels in tissue clearing, linking physicochemical properties to performance in tissue processing, labeling, and imaging. By analyzing rheology, swelling, porosity, antibody diffusion, mechanical performance, and thermochemical stability across platforms, this work provides a ...
Sangjae Kim, Siheon Lee, Jinsoo Na, James Sangmin Choo, Inho Kim, Junsang Doh, Jeong‐Yun Sun, Chang Yeol Lee, Juhyuk Park   +8 more
wiley   +1 more source

Universal scaling in real dimension

Nature Communications
The concept of universality has shaped our understanding of many-body physics, but is mostly limited to homogenous systems. Here, we present a study of universality on a non-homogeneous graph, the long-range diluted graph (LRDG).
Giacomo Bighin, Tilman Enss, Nicolò Defenu   +2 more
doaj   +1 more source

Three conjectures in extremal spectral graph theory

Journal of Combinatorial Theory, Series B, 2017
We prove three conjectures regarding the maximization of spectral invariants over certain families of graphs. Our most difficult result is that the join of $P_2$ and $P_{n-2}$ is the unique graph of maximum spectral radius over all planar graphs. This was conjectured by Boots and Royle in 1991 and independently by Cao and Vince in 1993.
Tait, Michael, Tobin, Josh
openaire   +3 more sources

Using Long‐Chain Polymechanophores to Explore the Differences in Mechanoactivation During Nozzle Flow and Ultrasonication

Advanced Functional Materials, EarlyView.
Flow through a nozzle is a common component of most fluid‐based polymer processing techniques such as spray drying, inkjet printing, extrusion. An ultrahigh molecular weight multi‐mechanophore system is used to probe the differences in the distribution of mechanical activation observed between nozzle flow and ultrasonication; the gold standard ...
Niamh Willis‐Fox, Maggie Horst, Etienne Rognin, Yan Xia, Ronan Daly   +4 more
wiley   +1 more source

Open problems on graph eigenvalues studied with AutoGraphiX

EURO Journal on Computational Optimization, 2013
Since the late forties of the last century, methods of operations research have been extensively used to solve problems in graph theory, and graph theory has been extensively used to model operations research problems and to solve optimization problems ...
Mustapha Aouchiche, Gilles Caporossi, Pierre Hansen   +2 more
doaj   +1 more source

Mechanically Stable and Tunable Photoactivated Peptide‐Based Hydrogels for Soft Tissue Adhesion

Advanced Functional Materials, EarlyView.
A collagen‐like peptide hydrogel platform is developed using supramolecular self‐assembly and light‐triggered crosslinking. It creates mechanically stable, tunable hydrogels with cytocompatibility and biodegradability, making them potential soft tissue adhesives.
Alex Ross, Daniel Nguyen, Aidan J. MacAdam, German A. Mercado Salazar, Micaela Gianetti, Ramis Ileri, Marc Ruel, Erik J. Suuronen, Emilio I. Alarcon   +8 more
wiley   +1 more source

Artificial Intelligence as the Next Visionary in Liquid Crystal Research

Advanced Functional Materials, EarlyView.
The functions of AI in the research laboratory are becoming increasingly sophisticated, allowing the entire process of hypothesis formulation, material design, synthesis, experimental design, and reiterative testing to be automated. In our work, we conceive how the incorporation of AI in the laboratory environment will transform the role and ...
Mert O. Astam, Ouassim L'Karkouri, Danqing Liu   +2 more
wiley   +1 more source

Intelligent Fault Detection in Power Grids Using Deep Learning Algorithms

IEEE Access
Modern power systems are increasingly complex and interconnected, demanding intelligent, adaptive solutions for fault detection and operational resilience. Traditional methods often depend on linear approximations or computationally demanding simulations,
Cencen Liu, Li Ding, He Yu
doaj   +1 more source