Scattering and Backscattering Study of Mechanical Plane Wave in Composite Materials Plates (Earth model 1066B and LiNbO3) [PDF]
Journal of Applied and Computational Mechanics, 2022 Reflection and refraction phenomenon pattern of elastic plane wave at the interface between anisotropic monoclinic elastic half-space and isotropic elastic half-spaces is studied. Closed-form expression for phase velocity is obtained.
Abhinav Singhal +3 more
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Practical Treatment of the Multicollinearity: The Optimal Ridge Method and the Modified OLS [PDF]
Problemi Ekonomiki, 2021 The paper discusses the applicability of the two main methods for solving the linear regression (LR) problem in the presence of multicollinearity – the OLS and the ridge methods.
Tyzhnenko Alexander G. +1 more
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Generating functions for a lattice path model introduced by Deutsch
Special Matrices, 2021 The lattice path model suggested by E. Deutsch is derived from ordinary Dyck paths, but with additional down-steps of size −3, −5, −7, . . . . For such paths, we find the generating functions of them, according to length, ending at level i, both, when ...
Prodinger Helmut
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Characterizations of the Generalized MPCEP Inverse of Rectangular Matrices
Journal of Applied Mathematics, 2023 In this paper, we introduce a new generalized inverse, called the G-MPCEP inverse of a complex matrix. We investigate some characterizations, representations, and properties of this new inverse.
Jiaxuan Yao, Xiaoji Liu, Hongwei Jin
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Forecasting Carbon Dioxide Emissions for Singapore using Grey Model with Cramer’s Rule
Malaysian Journal of Fundamental and Applied Sciences, 2021 This article analyses and forecasts carbon dioxide () emissions in Singapore for the 2012 to 2016 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 ...
A. Sulaiman, A. Shabri
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Multiparameter Inversion: Cramer's Rule for Pseudodifferential Operators
International 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
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The explicit formula for Gauss-Jordan elimination applied to flexible systems
Special 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
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Solution of the system of the 2-refined neutrosophic linear equations by using Cramer’s rule [PDF]
Neutrosophic Sets and SystemsIn this paper, we introduced Cramer's rule for solving a system of the 2-refined neutrosophic linear equations. We defined the general form of the 2-refined neutrosophic linear equations and generalized this to system of the 2-refined neutrosophic linear
Yaser Ahmad Alhasan +2 more
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Unnes Science Education JournalMathematical thinking skills are high-level thinking competencies needed in the 21st century. Many physics problems are expressed in various forms of mathematical equations that require mathematical thinking skills. The low level of mathematical thinking
Bambang Supriadi +5 more
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System of Linear Equations: A Comparative Study Between Cramer’s Rule and Paravartya’s Rule
Journal of Education and Learning ReviewsBackground and Aims: Solving systems of linear equations is essential in mathematics education, influencing real-world problem-solving and advanced applications.
Christian Saquin, Elmar Ancog
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