Results 71 to 80 of about 871,744 (361)

Bounds for Degree-Sum adjacency eigenvalues of a graph in terms of Zagreb indices [PDF]

open access: yesComputer Science Journal of Moldova, 2021
For a graph $G$ the degree sum adjacency matrix $DS_A(G)$ is defined as a matrix, in which every element is sum of the degrees of the vertices if and only if the corresponding vertices are adjacent, otherwise it is zero.
Sumedha S. Shinde   +3 more
doaj  

On the Properties of r-Circulant Matrices Involving Generalized Fermat Numbers

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023
-circulant matrices have applied in numerical computation, signal processing, coding theory, etc. In this study, our main goal is to investigate the r-circulant matrices of generalized Fermat numbers which are shown by We obtain the eigenvalues ...
Engin Özkan, Engin Eser, Bahar Kuloǧlu
doaj   +1 more source

Recycling of Thermoplastics with Machine Learning: A Review

open access: yesAdvanced Functional Materials, EarlyView.
This review shows how machine learning is revolutionizing mechanical, chemical, and biological pathways, overcoming traditional challenges and optimizing sorting, efficiency, and quality. It provides a detailed analysis of effective feature engineering strategies and establishes a forward‐looking research agenda for a truly circular thermoplastic ...
Rodrigo Q. Albuquerque   +5 more
wiley   +1 more source

Double, borderline, and extraordinary eigenvalues of Kac-Murdock-Szeg\"o matrices with a complex parameter

open access: yes, 2019
For all sufficiently large complex $\rho$, and for arbitrary matrix dimension $n$, it is shown that the Kac--Murdock--Szeg\H{o} matrix $K_n(\rho)=\left[\rho^{|j-k|}\right]_{j,k=1}^{n}$ possesses exactly two eigenvalues whose magnitude is larger than $n$.
Fikioris, George   +1 more
core   +1 more source

Eigenvalue Attraction [PDF]

open access: yesJournal of Statistical Physics, 2015
We prove that the complex conjugate (c.c.) eigenvalues of a smoothly varying real matrix attract (Eq. 15). We offer a dynamical perspective on the motion and interaction of the eigenvalues in the complex plane, derive their governing equations and discuss applications. C.c. pairs closest to the real axis, or those that are ill-conditioned, attract most
openaire   +4 more sources

Enhancing the Photocatalytic Performance of Carbon Nitrides Through Controlled Local Structure Modification

open access: yesAdvanced Functional Materials, EarlyView.
This work utilizes poly(heptazine imides) as a model system to demonstrate how fine‐tuning the crystal structure influences the photocatalytic properties of layered carbon nitrides in the hydrogen evolution reaction. In particular, the nature of rotational defects and the hydration shell of cations are key contributors to enhanced hydrogen evolution ...
Diana V. Piankova   +11 more
wiley   +1 more source

The Subdominant Eigenvalue of Möbius Monotone Transition Probability Matrix

open access: yesAxioms
We establish a Perron–Frobenius-type theorem for the subdominant eigenvalue of Möbius monotone transition matrices defined on partially ordered state spaces.
Pei-Sen Li, Pan Zhao
doaj   +1 more source

H$^+$-Eigenvalues of Laplacian and Signless Laplacian Tensors [PDF]

open access: yes, 2013
We propose a simple and natural definition for the Laplacian and the signless Laplacian tensors of a uniform hypergraph. We study their H$^+$-eigenvalues, i.e., H-eigenvalues with nonnegative H-eigenvectors, and H$^{++}$-eigenvalues, i.e., H-eigenvalues ...
L. Qi
semanticscholar   +1 more source

On the Approximation of Isolated Eigenvalues of Ordinary Differential Operators

open access: yes, 2007
We extend a result of Stolz and Weidmann on the approximation of isolated eigenvalues of singular Sturm-Liouville and Dirac operators by the eigenvalues of regular operators.Comment: 4 ...
Communicated Joseph A. Ball   +1 more
core   +2 more sources

Nanoplasmonics Reveal Ionic‐Strength‐Driven Hydration of Nanoparticles

open access: yesAdvanced Functional Materials, EarlyView.
Localized surface plasmon resonance (LSPR) of gold nanoparticles (AuNPs) is modulated by ionic‐strength‐dependent hydration shell compression. A predictive model connects shell thickness to non‐radiative damping and spectral shifts over seven orders of magnitude.
Yeeun Song   +4 more
wiley   +1 more source

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