Research ArticleOpen accessIn the keywordsFundamental Properties of the Galois CorrespondenceAyinde S. Olukayode, Oyekan E. AbiodunProblem Statement: Let K is the splitting field of a polynomial f(x) over a field F and αn be the roots of f in K. Let G be embedded as a subgroup of the symmetric group ς. We determined the Galois group G, and the subgroup. Approach: computed some auxiliary polynomials that had roots in K, where the permutation of … …Journal of Mathematics and Statistics, Vol. 4, Issue 4 · 31 Dec 2008 · 7,292 accessesView PDFCite
Research ArticleOpen accessIn the abstractShift of Zeeman Components of Ionic Spectral Lines Caused by the Angular Doppler EffectEugene OksThe angular Doppler effect was introduced by Garetz. While the usual Doppler effect is caused by the translational motion of the emitter, the angular Doppler effect is caused by the rotational motion of the emitter. It results into the frequency shift of a circularly-polarized light. In the present paper we analyze the angular Doppler effect caused by the rotational motion … …Physics International, Vol. 15, Issue 1 · 16 Jun 2025 · 6,449 accessesView PDFCite
EditorialOpen accessIn the abstractData Mining in Time Series: Current Study and Future TrendTan Yan, Liudmila Ulanova, Ye Ouyang, Fengyuan XuTime series represent sequences of data points where usually their order is defined by the time when they were recorded. Thus, virtually any sequential recordings can be stored as time series: Stock prices, weather conditions, physical system parameters change, product quality monitoring, etc. This leads to ubiquity of time series in all scientific and practical fields (Esling and Agon, 2012); … …Journal of Computer Science, Vol. 10, Issue 12 · 26 Jan 2015 · 8,756 accessesView PDFCite