Results 11 to 20 of about 246,310 (302)
Chirality-driven all-optical image differentiation [PDF]
NanophotonicsOptical analog computing enables powerful functionalities, including spatial differentiation, image processing, and ultrafast linear operations. Yet, most existing approaches rely on resonant or periodic structures, whose performance is strongly ...
Koufidis Stefanos Fr. +4 more
doaj +2 more sources
Persistent sheaf Laplacians [PDF]
Foundations of Data Science, 2021 Recently various types of topological Laplacians have been studied from the perspective of data analysis. The spectral theory of these Laplacians has significantly extended the scope of algebraic topology and data analysis. Inspired by the theory of persistent Laplacians and cellular sheaves, this work develops the theory of persistent sheaf Laplacians
Xiaoqi Wei, Guo‐Wei Wei
openalex +4 more sources
Solving Westergaard Half-Space Problems Using Potential Theory [PDF]
Engineering 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
Barekeng, 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
Applied Intelligence, 2022 Machine learning methods have greatly changed science, engineering, finance, business, and other fields. Despite the tremendous accomplishments of machine learning and deep learning methods, many challenges still remain. In particular, the performance of machine learning methods is often severely affected in case of diverse data, usually associated ...
Ekaterina Merkurjev +2 more
openaire +3 more sources
AIMS 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 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 semi-slant warped product submanifolds in generalized complex space forms
AIMS 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
Advances in Applied Mathematics, 2020 This paper initiates the study of the "Laplacian simplex" $T_G$ obtained from a finite graph $G$ by taking the convex hull of the columns of the Laplacian matrix for $G$. Basic properties of these simplices are established, and then a systematic investigation of $T_G$ for trees, cycles, and complete graphs is provided. Motivated by a conjecture of Hibi
Braun, Benjamin, Meyer, Marie
openaire +3 more sources