Results 31 to 40 of about 128,734 (275)

Geometry of differential operators and odd Laplace operators [PDF]

open access: yesRussian Mathematical Surveys, 2003
We solve the following problem: to describe in geometric terms all differential operators of the second order with a given principal symbol. Initially the operators act on scalar functions. Operator pencils acting on densities of arbitrary weights appear naturally in the course of study.
Voronov, F. F., Khudaverdyan, O. M.
openaire   +2 more sources

A Note on the Triple Laplace Transform and Its Applications to Some Kind of Third-Order Differential Equation

open access: yesAbstract and Applied Analysis, 2013
We introduced a relatively new operator called the triple Laplace transform. We presented some properties and theorems about the relatively new operator. We examine the triple Laplace transform of some function of three variables.
Abdon Atangana
doaj   +1 more source

Modified Edge Detector for Coloured Images

open access: yesIraqi Journal for Computers and Informatics, 2002
In this paper, a study of the role nf clour information in detecting the edges of an image was conducted Therefore, different colour spaces with components corresponding to the attribute tumance, hue, and saturation le., VHS, and LUVI were implemented ...
Ban Abdul-Rahman Al-Jubaury   +2 more
doaj   +1 more source

Jacobi elliptic coordinates, functions of Heun and Lame type and the Niven transform [PDF]

open access: yes, 2005
Lame and Heun functions arise via separation of the Laplace equation in general Jacobi ellipsoidal or conical coordinates. In contrast to hypergeometric functions that also arise via variable separation in the Laplace equation, Lame and Heun functions ...
Kalnins, Ernie G., Miller, W., Jr.
core   +2 more sources

Comparative Analysis of Image Quality Values on Edge Detection Methods

open access: yesJurnal RESTI (Rekayasa Sistem dan Teknologi Informasi), 2020
Identification of object boundaries in a digital image is developing rapidly in line with advances in computer technology for image processing. Edge detection becomes important because humans in recognizing the object of an image will pay attention to ...
Wicaksono Yuli Sulistyo   +2 more
doaj   +1 more source

Laplace–Beltrami operators on noncommutative tori

open access: yesJournal of Geometry and Physics, 2020
In this paper, we construct Laplace-Beltrami operators associated with arbitrary Riemannian metrics on noncommutative tori of any dimension. These operators enjoy the main properties of the Laplace-Beltrami operators on ordinary Riemannian manifolds. The construction takes into account the non-triviality of the group of modular automorphisms.
Ha, Hyunsu, Ponge, Raphaël
openaire   +3 more sources

Diffeomorphism invariant eigenvalue problem for metric perturbations in a bounded region

open access: yes, 1995
We suggest a method of construction of general diffeomorphism invariant boundary conditions for metric fluctuations. The case of $d+1$ dimensional Euclidean disk is studied in detail.
Barvinsky A O   +15 more
core   +1 more source

Hahn Laplace transform and its applications

open access: yesDemonstratio Mathematica, 2023
Like qq-calculus, Hahn calculus (or q,ωq,\omega -calculus) is constructed by defining a difference derivative operator and an integral operator. The q,ωq,\omega -analogs of the integral representations of the Laplace transform and related special ...
Hıra Fatma
doaj   +1 more source

Hypergraph Laplace Operators for Chemical Reaction Networks

open access: yes, 2018
We generalize the normalized combinatorial Laplace operator for graphs by defining two Laplace operators for hypergraphs that can be useful in the study of chemical reaction networks. We also investigate some properties of their spectra.Comment: 23 pages,
Jost, Jürgen, Mulas, Raffaella
core   +1 more source

Laplace and Dirac operators on graphs

open access: yesLinear and Multilinear Algebra, 2022
Discrete versions of the Laplace and Dirac operators haven been studied in the context of combinatorial models of statistical mechanics and quantum field theory. In this paper we introduce several variations of the Laplace and Dirac operators on graphs, and we investigate graph-theoretic versions of the Schr dinger and Dirac equation.
Beata Casiday   +4 more
openaire   +2 more sources

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