Results 11 to 20 of about 872 (250)

Solution of System of Symbolic 2-Plithogenic Linear Equations using Cramer's Rule [PDF]

open access: yesNeutrosophic Sets and Systems, 2023
In this article, the concept of system of symbolic 2-plithogenic linear equations and its solutions are introduced and studied. The Cramer’s rule was applied to solve the system of symbolic 2-plithogenic linear equations.
P. Prabakaran, Florentin Smarandache
doaj   +3 more sources

Multiparameter Inversion: Cramer's Rule for Pseudodifferential Operators [PDF]

open access: yesInternational Journal of Geophysics, 2011
Linearized multiparameter inversion is a model-driven variant of amplitude-versus-offset analysis, which seeks to separately account for the influences of several model parameters on the seismic response.
Rami Nammour, William W. Symes
doaj   +2 more sources

An Earlier Date for “Cramer's Rule”

open access: yesHistoria Mathematica, 1999
The author justifies the claim made by the historian Carl Boyer that Cramer's rule for the solution of a set of linear equations was known to Colin MacLaurin (1698-1746) by 1729. His evidence comes from MacLaurin's Nachlass, which contains a transcription made that year of his `treatise of algebra, which was to appear in print posthumously, in 1748 ...
Bruce A. Hedman, Hedman, Bruce A.
openaire   +3 more sources

A note on a generalized Cramer's rule

open access: yesLinear Algebra and its Applications, 2002
Cramer's rule generalized by \textit{Z. Gong} and \textit{M. Aldeen} [Control Theory Adv. Tech. 10, No. 4, part 4, 1833-1841 (1995; MR 96j:93004)] is proved. In the case of \(m=k=1\) this proof is reduced to that by \textit{S. M. Robinson} [Math. Mag. 43, 94-95 (1970; Zbl 0194.34003)].
Gong, Zhiming   +2 more
openaire   +3 more sources

CRAMER’S RULE IN INTERVAL MIN-PLUS ALGEBRA

open access: yesBarekeng
A min-plus algebra is a set ,  where  is the set of all real numbers, equipped with the minimum  and addition  operations. The system of linear equations  in min-plus algebra can be solved using Cramer's rule.
Siswanto Siswanto, Ade Safira Septiany
doaj   +3 more sources

Old and new proofs of Cramer's rule

open access: yesApplied Mathematical Sciences, 2014
In spite of its high computational cost, Cramer’s Rule for solving systems of linear equations is of historical and theoretical importance. In this paper we list six dierent proofs of it, the last of which has not apparently been published elsewhere. A discussion on their educational value and the tools involved is also included.
BRUNETTI, MAURIZIO
openaire   +3 more sources

Forecasting carbon dioxide emissions for Malaysia using grey model with Cramer's rule [PDF]

open access: yes, 2021
This article analyses and forecasts carbon dioxide (CO#) emissions in Malaysia for the 2014 to 2018 period. The study analysed the data using grey forecasting model with Cramer's rule to calculate the best SOGM(2,1) model with the highest accuracy of ...
Shabri, Ani   +1 more
core   +1 more source

Pre-service mathematics teachers’ mental constructions when using Cramer’s rule

open access: yesSouth African Journal of Education, 2019
This study explored the mental constructions displayed by pre-service mathematics teachers (PMTs) when applying Cramer’s rule. The aim was to reveal the character of mental constructions made around the nature of the solution set of equations and the ...
Zanele Ndlovu, Deonarain Brijlall
doaj   +1 more source

The explicit formula for Gauss-Jordan elimination applied to flexible systems

open access: yesSpecial Matrices, 2022
Flexible systems are obtained from systems of linear equations by adding to the elements of the coefficient matrix and the right-hand side scalar neutrices, which are convex groups of (non-standard) real numbers.
Tran Nam Van   +2 more
doaj   +1 more source

Mobile Application Calculator for Inverse Method and Cramer's Rule at Polytechnic Kota Kinabalu [PDF]

open access: yes, 2018
Initiatives have been taken to create mobile applications for teaching and learning purposes with developing Mobile Calculator Inverse Method and Cramer's Rule.
R. H. A. Rahim   +2 more
core   +1 more source

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