Results 41 to 50 of about 2,174,992 (257)
Cramer’s rules for the system of quaternion matrix equations with η-Hermicity
The system of two-sided quaternion matrix equations with η-Hermicity, A1XA1η* = C1 A 1 X A 1 η * = C 1 $ {\mathbf{A}}_1\mathbf{X}{\mathbf{A}}_1^{\eta \mathrm{*}}={\mathbf{C}}_1$ , A2XA2η* = C2 A 2 X A 2 η ...
Kyrchei Ivan I.
doaj +1 more source
Membangkitkan Suatu Matriks Unimodular Dengan Python
An SPL can be represented as a multiplication of the coefficient matrix and solution vector of the SPL. Determining the solution of an SPL can use the inverse matrix method and Cramer's rule, where both can use the concept of the determinant of a matrix.
Samsul Arifin, Indra Bayu Muktyas
doaj +1 more source
Cramer's rule is used by combining matrix determinant methods applied in the presentation of solving Systems of Linear Equations (SLE). The purpose of this study was to determine the differences in student learning outcomes when using the Cramer Rule ...
Eryna Dwicahyaning Krisnawanto +3 more
semanticscholar +1 more source
Terahertz Channel Modeling, Estimation and Localization in RIS‐Assisted Systems
Reconfigurable intelligent surfaces have become a recent intensive research focus. Based on practical applications, channel strategies for RIS‐assisted terahertz wireless communication systems are categorized into three different types: channel modeling, channel estimation, and channel localization.
Hongjing Wang +9 more
wiley +1 more source
Within the framework of the theory of quaternion row-column determinants previously introduced by the author, we derive determinantal representations (analogs of Cramer’s rule) of solutions and Hermitian solutions to the system of two-sided quaternion ...
Ivan I. Kyrchei
doaj +1 more source
Who Are the Consumers of European Farmers' Markets? A Cross‐Country Analysis
ABSTRACT With substantial growth in the number of farmers' markets (FMs) in developed countries, the number of consumers visiting FMs is also increasing. This study comparatively assesses the consumers of FMs in three European countries where FMs traditionally play a distinctive role in food supply chains.
Áron Török +6 more
wiley +1 more source
The General Solution of Quaternion Matrix Equation Having η-Skew-Hermicity and Its Cramer’s Rule
We determine some necessary and sufficient conditions for the existence of the η-skew-Hermitian solution to the following system AX-(AX)η⁎+BYBη⁎+CZCη⁎=D,Y=-Yη⁎,Z=-Zη⁎ over the quaternion skew field and provide an explicit expression of its general ...
A. Rehman +4 more
semanticscholar +1 more source
Autonomous X‐Ray Fluorescence Mapping for Nanoscale Chemical Speciation of Fine Particulate Matter
We present X‐AutoMap, an autonomous X‐ray fluorescence mapping framework that integrates real‐time analysis with rule‐based computer vision to selectively target chemically relevant regions. By avoiding background‐dominated areas, the method reduces acquisition time by fourfold while enabling accurate particle‐level speciation.
Carlos Deleon +3 more
wiley +1 more source
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 ...
openaire +2 more sources
A characterization of bases of tropical kernels in terms of Cramer's rule
The tropical kernel of a Min-Plus matrix is a linear space. It has a finite basis that is uniquely determined up to scalar multiplication. In this paper, we give a characterization of vectors in a basis of the kernel using the tropical analogue of Cramer'
Y. Nishida +2 more
semanticscholar +1 more source

