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EEG Signals During Epileptic Seizure as a Semigroup of Upper Triangular Matrices | Science Publications

机译:脑电信号癫痫发作期间作为上三角矩阵的一个半组科学出版物

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> 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 multiplication. Conclusion: This study described the procedure to transform signal during epileptic seizure (brainstorm) into an algebraic structure. This is the key step that will enable us to further proceed to obtain some pattern out of the seizure data in our future research.
机译: > 问题陈述:癫痫发作期间的脑电信号可以表示为代数结构,即上三角矩阵的半群。 方法:记录癫痫发作期间的EEG信号并将其组成矩阵集。使用QR-Schur分解将它们转换为上三角矩阵,最后将它们转换为上三角矩阵的半群。 结果:癫痫发作期间的脑电信号在矩阵乘法下转换为上三角矩阵的半组。 结论:这项研究描述了在癫痫发作(头脑风暴)过程中将信号转换为代数结构的过程。这是关键的一步,它将使我们能够在未来的研究中进一步从癫痫发作数据中获取某种模式。

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