Results 51 to 60 of about 45,671 (275)

Eigenvalues and Eigenfunctions of Double Layer Potentials [PDF]

open access: yes, 2015
For bounded domains, eigenvalues and eigenfunctions of double layer potentials are considered. The aim of this paper is to establish some relationships between eigenvalues, eigenfunctions and the geometry of domain boundaries.
Yoshihisa Miyanishi, Takashi Suzuki
semanticscholar   +1 more source

Regional Shopping Objectives in British Grocery Retail Transactions Using Segmented Topic Models

open access: yesApplied Stochastic Models in Business and Industry, EarlyView.
ABSTRACT Understanding the customer behaviours behind transactional data has high commercial value in the grocery retail industry. Customers generate millions of transactions every day, choosing and buying products to satisfy specific shopping needs.
Mariflor Vega Carrasco   +4 more
wiley   +1 more source

Quantitative equidistribution properties of toral eigenfunctions [PDF]

open access: yes, 2015
We prove quantitative equidistribution properties for orthonormal bases of eigenfunctions of the Laplacian on the rational $d$-torus. We show that the rate of equidistribution of such eigenfunctions is of polynomial decay.
Hamid Hezari, Gabriel Rivière
semanticscholar   +1 more source

The Regularized Trace Formula Of A Second Order Differentıal Equation Given With Anti-Perıodic Boundary Conditions

open access: yesCumhuriyet Science Journal, 2019
In this study, we examined the formula of the regularizedtrace of the self-adjoint operator which is formed bydifferentialexpression and anti-periodic boundary condition.
Seda Kızılbudak Çalışkan   +1 more
doaj   +1 more source

Spectral characteristics of the integral operator of the internal problem of electrodynamics for elliptical frame structure

open access: yesФизика волновых процессов и радиотехнические системы, 2023
The article is devoted to the analysis of electrodynamic properties elliptical frame structure. Taking into account double symmetry internal problem of electrodynamics for the structure under consideration in the framework of the thin-wire approximation ...
Dmitry P. Tabakov, Andrey G. Mayorov
doaj   +1 more source

Advanced control of non‐isothermal axial dispersion tubular reactors with recycle‐induced state delay

open access: yesThe Canadian Journal of Chemical Engineering, EarlyView.
Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
wiley   +1 more source

Problems related to the concentration of eigenfunctions [PDF]

open access: yes, 2015
We survey recent results related to the concentration of eigenfunctions. We also prove some new results concerning ball-concentration, as well as showing that eigenfunctions saturating lower bounds for $L^1$-norms must also, in a measure theoretical ...
C. Sogge
semanticscholar   +1 more source

Geometrical Structure of Laplacian Eigenfunctions [PDF]

open access: yesSIAM Review, 2012
We summarize the properties of eigenvalues and eigenfunctions of the Laplace operator in bounded Euclidean domains with Dirichlet, Neumann or Robin boundary condition.
D. Grebenkov, B. Nguyen
semanticscholar   +1 more source

On the Degrees of Freedom and Eigenfunctions of Line-of-Sight Holographic MIMO Communications [PDF]

open access: green, 2023
Juan Carlos Ruiz-Sicilia   +4 more
openalex   +1 more source

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley   +1 more source

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