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Group Theory: Mathematical Expression of Symmetry in Physics [PDF]
Symmetry, 2021 The present article reviews the multiple applications of group theory to the symmetry problems in physics. In classical physics, this concerns primarily relativity: Euclidean, Galilean, and Einsteinian (special). Going over to quantum mechanics, we first note that the basic principles imply that the state space of a quantum system has an intrinsic ...
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Hexatonic systems and dual groups in mathematical music theory [PDF]
Involve, a Journal of Mathematics, 2018 Motivated by the music-theoretical work of Richard Cohn and David Clampitt on late-nineteenth century harmony, we mathematically prove that the PL-group of a hexatonic cycle is dual (in the sense of Lewin) to its T/I-stabilizer. Our point of departure is Cohn's notions of maximal smoothness and hexatonic cycle, and the symmetry group of the 12-gon; we ...
Berry, Cameron, Fiore, Thomas M.
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Mathematical crystallography and the theory of groups of movements. [PDF]
The Mathematical Gazette, 1963 xii, 262 p. :
Tutton, A. E. H., Hilton, Harold 1876
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GROUP THEORY FOR TEACHERS OF ELEMENTARY MATHEMATICS [PDF]
School Science and Mathematics, 1906 n ...
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An examination in Turkey: Error analysis of Mathematics students on group theory [PDF]
Educational Research and Reviews, 2015 The aim of this study is to analyze the mistakes that have been made in the group theory underlying the algebra mathematics. The 100 students taking algebra math 1 class and studying at the 2nd grade at a state university in Istanbul participated in this study.
Özkan, Erdoğan Mehmet +2 more
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Mathematical Modeling of Group Concurrency in Game Theory
Journal of Computational and Engineering Mathematics, 2015 The approach to an estimation of results of group "competitions" of intellectual agents is described. Petri-Markov models group "competition" are analyzed. Expressions for the determination of the probability density distribution and the participants or groups of participants win or lose "competition" are given.
Alexander S. Novikov +2 more
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The power of microRNA regulation—insights into immunity and metabolism
FEBS Letters, EarlyView.MicroRNAs are emerging as crucial regulators at the intersection of metabolism and immunity. This review examines how miRNAs coordinate glucose and lipid metabolism while simultaneously modulating T‐cell development and immune responses. Moreover, it highlights how cutting‐edge artificial intelligence applications can identify miRNA biomarkers ...
Stefania Oliveto +2 more
wiley +1 more source
Molecular Oncology, EarlyView.In prostate carcinoma, lactic acid, secreted by highly glycolytic cancer‐associated fibroblasts, is imported into tumor cells through the MCT1 transporter and prevents RSL3 and erastin‐induced ferroptosis (A). Targeting of carbonic anhydrase IX/XII, the main extracellular pH regulators, in tumor and stromal cells reduces microenvironmental acidosis and
Elisa Pardella +18 more
wiley +1 more source
International Journal of Adaptive Control and Signal Processing, EarlyView.Summary Data‐driven forecasting of ship motions in waves is investigated through feedforward and recurrent neural networks as well as dynamic mode decomposition. The goal is to predict future ship motion variables based on past data collected on the field, using equation‐free approaches.
Matteo Diez +2 more
wiley +1 more source
Journal of Physics: Conference Series, 2020 Abstract The purpose of the article is to describe the IMTs’ identified mathematical connection between group theory and school mathematics curriculums in Indonesia. The data was gathered from the IMTs who involved in the Teachers Professional Training (TPT) program.
Agnita Siska Pramasdyahsari +2 more
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