Results 11 to 20 of about 872 (250)
Solution of System of Symbolic 2-Plithogenic Linear Equations using Cramer's Rule [PDF]
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
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Multiparameter Inversion: Cramer's Rule for Pseudodifferential Operators [PDF]
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
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An Earlier Date for “Cramer's Rule”
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.
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A note on a generalized Cramer's rule
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
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CRAMER’S RULE IN INTERVAL MIN-PLUS ALGEBRA
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
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Old and new proofs of Cramer's rule
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
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Forecasting carbon dioxide emissions for Malaysia using grey model with Cramer's rule [PDF]
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
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Pre-service mathematics teachers’ mental constructions when using Cramer’s rule
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
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The explicit formula for Gauss-Jordan elimination applied to flexible systems
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
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Mobile Application Calculator for Inverse Method and Cramer's Rule at Polytechnic Kota Kinabalu [PDF]
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
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