Results 1 to 10 of about 19,610 (165)

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

Nonrecursive solution for the discrete algebraic Riccati equation and X + A*X-1A=L

open access: yesOpen Mathematics, 2015
In this paper, we present two new algebraic algorithms for the solution of the discrete algebraic Riccati equation. The first algorithm requires the nonsingularity of the transition matrix and is based on the solution of a standard eigenvalue problem for
Adam Maria, Assimakis Nicholas
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

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

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

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

A Note on Algebraic Solutions to Identification [PDF]

open access: yesThe Journal of Mathematical Sociology, 2010
Algebraic methods to establish the identification of structural equation models remains a viable option. However, sometimes it is unclear whether the algebraic solution establishes identification. One example is when there is more than one way to solve for the parameter, but one way leads to a single value and a second way leads to a function with more
Kenneth A, Bollen, Shawn, Bauldry
openaire   +2 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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