Results 11 to 20 of about 1,656 (235)

CRAMER’S RULE IN MIN-PLUS ALGEBRA

open access: yesBarekeng
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
doaj   +3 more sources

Cramer’s rules for the system of quaternion matrix equations with η-Hermicity

open access: yes4 open, 2019
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   +2 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

Determinantal Representations of Solutions and Hermitian Solutions to Some System of Two-Sided Quaternion Matrix Equations

open access: yesJournal of Mathematics, 2018
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   +2 more sources

Twisted Baker–Akhiezer function from determinants

open access: yesEuropean Physical Journal C: Particles and Fields
General description of eigenfunctions of integrable Hamiltonians associated with the integer rays of Ding–Iohara–Miki (DIM) algebra, is provided by the theory of Chalykh Baker–Akhiezer functions (BAF) defined as solutions to a simply looking linear ...
A. Mironov, A. Morozov, A. Popolitov
doaj   +2 more sources

Least-Norm of the General Solution to Some System of Quaternion Matrix Equations and Its Determinantal Representations

open access: yesAbstract and Applied Analysis, 2019
We constitute some necessary and sufficient conditions for the system A1X1=C1, X1B1=C2, A2X2=C3, X2B2=C4, A3X1B3+A4X2B4=Cc, to have a solution over the quaternion skew field in this paper.
Abdur Rehman   +4 more
doaj   +2 more sources

Determinantal Representations of the Core Inverse and Its Generalizations with Applications

open access: yesJournal of Mathematics, 2019
In this paper, we give the direct method to find of the core inverse and its generalizations that is based on their determinantal representations. New determinantal representations of the right and left core inverses, the right and left core-EP inverses,
Ivan I. Kyrchei
doaj   +2 more sources

Solution of the system of the 2-refined neutrosophic linear equations by using Cramer’s rule [PDF]

open access: yesNeutrosophic Sets and Systems
In 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
doaj   +2 more sources

Associations between generalised anxiety disorder and work-related musculoskeletal problems among medical professionals

open access: yesPhysiotherapy Quarterly
Introduction Generalised Anxiety Disorder (GAD) and prolonged working hours have negative impacts on the human musculoskeletal system. The study investigated the association between GAD and work-related musculoskeletal disorders (WMSDs) among medical ...
Rimsha Khurshid   +5 more
doaj   +2 more sources

Modification of Cramer’s rule

open access: yes, 2018
No AbstractKeywords: Cramer’s rule; determinant; system of linear ...
Kamarulhaili, H, Babarinsa, O
core   +2 more sources

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