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Solving Westergaard Half-Space Problems Using Potential Theory [PDF]

open access: yesEngineering and Technology Journal, 2023
The Westergaard half-space problem has been solved using the potential theory in this work. It is a classical theme in elasticity theory that seeks to find the displacements and stresses in the half-space caused by known boundary loads.
Charles Ike
doaj   +1 more source

COMPARISON OF EDGE DETECTION METHODS USING ROBERTS AND LAPLACIAN OPERATORS ON MANGO LEAF OBJECTS

open access: yesBarekeng, 2023
Edge detection is a technique to find the outlines of an object in an image by detecting significant changes in brightness or discontinuities. This study discusses the comparison of edge detection using Roberts operators and Laplacian operators.
Dedi Darwis   +4 more
doaj   +1 more source

Ricci curvature of semi-slant warped product submanifolds in generalized complex space forms

open access: yesAIMS Mathematics, 2022
The objective of this paper is to achieve the inequality for Ricci curvature of a semi-slant warped product submanifold isometrically immersed in a generalized complex space form admitting a nearly Kaehler structure in the expressions of the squared norm
Ali H. Alkhaldi   +3 more
doaj   +1 more source

Estimation of eigenvalues for the α-Laplace operator on pseudo-slant submanifolds of generalized Sasakian space forms

open access: yesAIMS Mathematics, 2022
In this study, we seek to establish new upper bounds for the mean curvature and constant sectional curvature of the first positive eigenvalue of the α-Laplacian operator on Riemannian manifolds.
Meraj Ali Khan   +2 more
doaj   +1 more source

Eigenfunctions in Finsler Gaussian solitons

open access: yesOpen Mathematics, 2023
Gaussian solitons are important examples in the theory of Riemannian measure space. In the first part, we explicitly characterize the first eigenfunctions of the drift Laplacian in a Gaussian shrinking soliton, which shows that apart from each coordinate
Liu Caiyun, Yin Songting
doaj   +1 more source

Ricci curvature of contact CR-warped product submanifolds in generalized Sasakian space forms admitting nearly Sasakian structure

open access: yesAIMS Mathematics, 2021
The objective of this paper is to achieve the inequality for Ricci curvature of a contact CR-warped product submanifold isometrically immersed in a generalized Sasakian space form admitting a nearly Sasakian structure in the expressions of the squared ...
Ibrahim Al-Dayel, Meraj Ali Khan
doaj   +1 more source

Estimates of the Laplacian Spectrum and Bounds of Topological Invariants for Riemannian Manifolds with Boundary II

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
We present some estimate of the Laplacian Spectrum and of Topological Invariants for Riemannian manifold with pinched sectional curvature and with non-empty and non-convex boundary with finite injectivity radius. These estimates do not depend directly on
Sabatini Luca
doaj   +1 more source

NEWNOVEL METHOD TO ESTIMATE BODY CHARACTERISTICS (DIMENSIONS, DEPTHS AND DENSITY CONTRASTS) OF THREE DIMENSIONAL PRISMATIC BODIES BY APPLYING DIFFERENTIAL OPERATORS (GRADIENT  g  , LAPLACIAN 2Z AND BIHARMONIC 4Z ) TO THEIR GRAVITY FIELDS [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة, 2012
:Differential Operators (Gradient, Laplacian and Biharmonic) have been used to determine anomaly characteristics using theoretical gravity field for prismatic bodies with different top depths, dimensions and density contrasts.
Ali M. Al-Rahim
doaj   +1 more source

A study on determination of some graphs by Laplacian and signless Laplacian permanental polynomials

open access: yesAKCE International Journal of Graphs and Combinatorics, 2023
The permanent of an n × n matrix [Formula: see text] is defined as [Formula: see text] where the sum is taken over all permutations σ of [Formula: see text] The permanental polynomial of M, denoted by [Formula: see text] is [Formula: see text] where In ...
Aqib Khan   +2 more
doaj   +1 more source

A proof of a trace formula by Richard Melrose

open access: yesAdvanced Nonlinear Studies, 2023
The goal of this article is to give a new proof of the wave trace formula proved by Richard Melrose in an impressive article. This trace formula is an extension of the Chazarain-Duistermaat-Guillemin trace formula (denoted as “CDG trace formula” in this ...
Colin de Verdière Yves
doaj   +1 more source

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