Types of System of the neutrosophic linear equations and Cramer’s rule [PDF]
The purpose of this article is studying the types of system of neutrosophic linear equations, where the neutrosophic linear equation and the solution to the neutrosophic linear equation are defined.
Yaser Ahmad Alhasan
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On application of Cramer’s rule
The article analyses a possibility of modification of Cramer’s rule. The modified formulas for the solution of a system of linear equations, with application of which the volume of calculation reduces, are suggested.
Antanas Apynis
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Cramer's rule for implicit linear differential equations over a non-Archimedean ring
We consider a linear nonhomogeneous $m$-th order differential equation in a ring of formal power series with coefficients from some field of characteristic zero.
A. Goncharuk
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An effective and economic estimation of population mean in stratified random sampling using a linear cost function [PDF]
Improvement in the estimation of population mean has been an area of interest in sampling theory. So many estimators have been suggested for elevated estimation of the population mean in stratified random sampling, but there is still a gap for more ...
Abdullah A. Zaagan +6 more
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Differential Thermal Inactivation Enables Simultaneous Quantitation of Ricin and Abrin [PDF]
Ricin and abrin are highly lethal Type II ribosome-inactivating proteins. They depurinate the same site of the 28S rRNA to inhibit protein synthesis. Consequently, standard molecular-level activity assays used to detect the toxic activity of ricin or ...
Woo-Hyeon Jeong
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CRAMER’S RULE IN MIN-PLUS ALGEBRA
Cramer’s rule is one of a method for solving a system of linear equations in conventional algebra. The system of linear equation can be solved using Cramer’s rule if .
Zakia Nur Ramadhani Putri +2 more
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Scattering and Backscattering Study of Mechanical Plane Wave in Composite Materials Plates (Earth model 1066B and LiNbO3) [PDF]
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]
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
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
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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