Results 71 to 80 of about 61,972 (313)

Image analysis using new set of separable two-dimensional discrete orthogonal moments based on Racah polynomials

open access: yesEURASIP Journal on Image and Video Processing, 2017
In this paper, we propose three new separable two-dimensional discrete orthogonal moments baptized: RTM (Racah-Tchebichef moments), RKM (Racah-Krawtchouk moments), and RdHM (Racah-dual Hahn moments).
Imad Batioua   +3 more
semanticscholar   +1 more source

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

open access: yesAdvanced 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

On Polar Jacobi Polynomials

open access: yesMathematics
In the present work, we investigate certain algebraic and differential properties of the orthogonal polynomials with respect to a discrete–continuous Sobolev-type inner product defined in terms of the Jacobi measure.
Roberto S. Costas-Santos
doaj   +1 more source

Discrete Analogues of the Erdélyi Type Integrals for Hypergeometric Functions

open access: yesJournal of Mathematics, 2022
Gasper followed the fractional calculus proof of an Erdélyi integral to derive its discrete analogue in the form of a hypergeometric expansion. To give an alternative proof, we derive it by following a procedure analogous to a triple series manipulation ...
Yashoverdhan Vyas   +4 more
doaj   +1 more source

Design, Control, and Clinical Applications of Magnetic Actuation Systems: Challenges and Opportunities

open access: yesAdvanced Intelligent Systems, Volume 7, Issue 3, March 2025.
This review aims to provide a broad understanding for interdisciplinary researchers in engineering and clinical applications. It addresses the development and control of magnetic actuation systems (MASs) in clinical surgeries and their revolutionary effects in multiple clinical applications.
Yingxin Huo   +3 more
wiley   +1 more source

Discrete and Differential Equations in Applied Mathematics

open access: yesCommunications, 2008
In the contribution we map investigations performed in mathematics at the Faculty of Science in 2003-2007. Main directions developed at the faculty are described and some of the latest achievements are presented.
Miroslava Ruzickova
doaj   +1 more source

Multiple Meixner Polynomials on a Non-Uniform Lattice

open access: yesMathematics, 2020
We consider two families of type II multiple orthogonal polynomials. Each family has orthogonality conditions with respect to a discrete vector measure.
Jorge Arvesú   +1 more
doaj   +1 more source

An efficient computation of discrete orthogonal moments for bio-signals reconstruction

open access: yesEURASIP Journal on Advances in Signal Processing, 2022
Bio-signals are extensively used in diagnosing many diseases in wearable devices. In signal processing, signal reconstruction is one of the essential applications.
Islam S. Fathi   +2 more
doaj   +1 more source

Discrete semi-classical orthogonal polynomials of class one on quadratic lattices

open access: yesJournal of difference equations and applications (Print), 2018
We study orthogonal polynomials on quadratic lattices with respect to Stieltjes functions, S, that satisfy a difference equation where A is a polynomial of degree less or equal than 3 and C is a polynomial of degree greater or equal than 1 and less or ...
G. Filipuk, M. N. Rebocho
semanticscholar   +1 more source

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