Results 91 to 100 of about 340,902 (280)

Optimal design of a bar with an attached mass for maximizing the heat transfer

Electronic Journal of Differential Equations, 2012
We maximize, with respect to the cross sectional area, the rate of heat transfer through a bar of given mass. The bar serves as an extended surface to enhance the heat transfer surface of a larger heated known mass to which the bar is attached.
Boris P. Belinskiy, James W. Hiestand, Maeve L. McCarthy   +2 more
doaj  

Fat Hoffman graphs with smallest eigenvalue at least −1 − τ

Ars Mathematica Contemporanea, 2013
In this paper, we show that all fat Hoffman graphs with smallest eigenvalue at least -1-τ, where τis the golden ratio, can be described by a finite set of fat (-1-τ)-irreducible Hoffman graphs. In the terminology of Woo and Neumaier, we mean that every fat Hoffman graph with smallest eigenvalue at least -1-τis an H-line graph, where H is the set of ...
Munemasa, Akihiro, Sano, Yoshio, Taniguchi, Tetsuji   +2 more
openaire   +4 more sources

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

Advanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows, G. Zhang, S. Anand, Z. Chen, J. Lin, A. Desai, S. Martiniani, F. Caravelli   +7 more
wiley   +1 more source

Comment on: "Non-relativistic treatment of diatomic molecules interacting with generalized Kratzer potential in hyperspherical coordinates"

, 2011
We argue that the textbook method for solving eigenvalue equations is simpler, more elegant and efficient than the Asymptotic Iteration Method (AIM) applied in J. Phys. A {\bf 44} 155205.
Fernández, Francisco M.
core   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Rossby-Haurwitz waves of a slowly and differentially rotating fluid shell

, 2001
Recent studies have raised doubts about the occurrence of r modes in Newtonian stars with a large degree of differential rotation. To assess the validity of this conjecture we have solved the eigenvalue problem for Rossby-Haurwitz waves (the analogues of
Andersson N, Andersson N, Eriguchi Y, Friedman J L, Friedman J L, Haurwitz B, Lockitch K H, Luciano Rezzolla, Rezzolla L, Rezzolla L, Ruoff J, Ruoff J, Shin'ichirou Yoshida, Spruit H C, Stewartson K, Yoshida S, Yoshida S, Yoshida S   +17 more
core   +1 more source

On the nullity of connected graphs with least eigenvalue at least -2

Applicable Analysis and Discrete Mathematics, 2013
Let L (resp. L+) be the set of connected graphs with least adjacency eigenvalue at least -2 (resp. larger than -2). The nullity of a graph G, denoted by ?(G), is the multiplicity of zero as an eigenvalue of the adjacency matrix of G. In this paper, we give the nullity set of L+ and an upper bound on the nullity of exceptional graphs.
Jiang Zhou, Lizhu Sun, Hongmei Yao, Changjiang Bu   +3 more
openaire   +2 more sources

Explaining the Origin of Negative Poisson's Ratio in Amorphous Networks With Machine Learning

Advanced Intelligent Discovery, EarlyView.
This review summarizes how machine learning (ML) breaks the “vicious cycle” in designing auxetic amorphous networks. By transitioning from traditional “black‐box” optimization to an interpretable “AI‐Physics” closed‐loop paradigm, ML is shown to not only discover highly optimized structures—such as all‐convex polygon networks—but also unveil hidden ...
Shengyu Lu, Xiangying Shen
wiley   +1 more source

Greatest least eigenvalue of the Laplacian on the Klein bottle [PDF]

, 2005
We prove the following conjecture recently formulated by Jakobson, Nadirashvili and Polterovich \cite{JNP}: For any Riemannian metric $g$ on the Klein bottle $\mathbb{K}$ one has $$\lambda\_1 (\mathbb{K}, g) A (\mathbb{K}, g)\le 12 \pi E(2\sqrt 2/3 ...
Giacomini, Hector, Jazar, Mustapha, Soufi, Ahmad El   +2 more
core   +3 more sources

On least eigenvalues and least eigenvectors of real symmetric matrices and graphs

Linear Algebra and its Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xing, Rundan, Zhou, Bo
openaire   +1 more source