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A New Algebraic Solution for Acoustic Emission Source Localization without Premeasuring Wave Velocity [PDF]

open access: yesSensors, 2021
The technique of acoustic emission (AE) source localization is critical for studying material failure mechanism and predicting the position of potential hazards.
Zilong Zhou   +4 more
doaj   +2 more sources

Research on Granular Conversion Computing in Algebraic Quotient Space [PDF]

open access: yesJisuanji kexue yu tansuo, 2022
Granular computing is a problem processing paradigm based on multi-level structure, which has attracted extensive attention of domestic and foreign scholars in recent years.
WEI Zongxuan, WANG Jiayang
doaj   +1 more source

How is the elementary students' creative thinking process in solving fraction problems using geometric and algebraic solutions?

open access: yesJournal of Research and Advances in Mathematics Education, 2023
This study aimed to explore students’ creative thinking process in fifth- grade elementary school in fraction problem solving based on gender differences. Subjects consisted of one male and one female with high mathematical ability.
Septi Triyani   +2 more
doaj   +1 more source

Explicit algebraic solution of Zolotarev's First Problem for low-degree polynomials

open access: yesJournal of Numerical Analysis and Approximation Theory, 2019
E.I. Zolotarev's classical so-called First Problem (ZFP), which was posed to him by P.L. Chebyshev, is to determine, for a given \(n\in{\mathbb N}\backslash\{1\}\) and for a given \(s\in{\mathbb R}\backslash\{0\}\), the monic polynomial solution \(Z ...
Heinz Joachim Rack, Robert Vajda
doaj   +7 more sources

Flat structure and potential vector fields related with algebraic solutions to Painlevé VI equation [PDF]

open access: yesOpuscula Mathematica, 2018
A potential vector field is a solution of an extended WDVV equation which is a generalization of a WDVV equation. It is expected that potential vector fields corresponding to algebraic solutions of Painlevé VI equation can be written by using ...
Mitsuo Kato   +2 more
doaj   +1 more source

Numerical solution to Volterra integro-differential equations using collocation approximation [PDF]

open access: yesMathematics and Computational Sciences, 2023
This paper considers the collocation method for the numerical solution of the Volterra integro- differential equation using polynomial basis functions.
Ganiyu Ajileye, Sikiru Amoo
doaj   +1 more source

Black-brane solution for A3 algebra [PDF]

open access: yesPhysics Letters B, 2002
11 pages, Latex, to appear in Phys.
Grebeniuk M.A.   +2 more
openaire   +5 more sources

Black-brane solution for C2 algebra [PDF]

open access: yesJournal of Mathematical Physics, 2002
Black p-brane solutions for a wide class of intersection rules and Ricci-flat “internal” spaces are considered. They are defined up to moduli functions Hs obeying nonlinear differential equations with certain boundary conditions imposed. A new solution with intersections corresponding to the Lie algebra C2 is obtained.
Grebeniuk M.A.   +2 more
openaire   +4 more sources

Algebraic solution for the classical harmonic oscillator

open access: yesRevista Brasileira de Ensino de Física, 2023
The harmonic oscillator is one of the most studied systems in Physics with a myriad of applications. One of the first problems solved in a Quantum Mechanics course is calculating the energy spectrum of the simple harmonic oscillator with analytic and ...
Murilo B. Alves
doaj   +1 more source

Algebraic Solution of Tropical Best Approximation Problems

open access: yesMathematics, 2023
We introduce new discrete best approximation problems, formulated and solved in the framework of tropical algebra, which deals with semirings and semifields with idempotent addition.
Nikolai Krivulin
doaj   +1 more source

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