2010
DOI: 10.3844/ajassp.2010.540.544
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EEG Signals During Epileptic Seizure as a Semigroup of Upper Triangular Matrices

Abstract: Problem statement: EEG signals during epileptic seizure can be presented as an algebraic structure, namely semigroup of upper triangular matrices. Approach: EEG signals during seizure were recorded and composed into set of matrices. They were transformed into upper triangular matrices using QR-Schur decomposition and finally as a semigroup of upper triangular matrices. Results: EEG signals during epileptic seizure were transformed as a semigroup of upper triangular matrices under matrix mu… Show more

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Cited by 14 publications
(5 citation statements)
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“…Apart from that, the algebraic study on Flat EEG demonstrates not only the possibility of transforming Flat EEG from one mathematical structure to another i.e., from topological to algebraic but also shows that Flat EEG can be decomposed into semigroup of upper triangular matrices under matrix multiplication and hence revealing that patterns exist in epileptic seizure process rather than chaotic (Faisal and Tahir, 2010).…”
Section: Literature Reviewmentioning
confidence: 99%
“…Apart from that, the algebraic study on Flat EEG demonstrates not only the possibility of transforming Flat EEG from one mathematical structure to another i.e., from topological to algebraic but also shows that Flat EEG can be decomposed into semigroup of upper triangular matrices under matrix multiplication and hence revealing that patterns exist in epileptic seizure process rather than chaotic (Faisal and Tahir, 2010).…”
Section: Literature Reviewmentioning
confidence: 99%
“…It plays an important diagnostic role in epilepsy and provides supporting evidence of a seizure disorder as well as assisting with classification of seizures. Careful analysis of the EEG records can provide new insights into the epileptogenic process and may have considerable utilization in the diagnosis and treatment of epilepsy (Binjadhnan and Ahmad, 2010).…”
Section: Introductionmentioning
confidence: 99%
“…[1]. Also combustion chamber geometry and the fuel injection characteristics play a central role in homogeneity of air-fuel mixing [2]. Engine performance highly influenced by fuel properties, pure biodiesel or blended, since it has different physical and chemical properties from those of diesel fuel [3].…”
Section: Introductionmentioning
confidence: 99%