Results 1 to 10 of about 1,943,789 (312)
Mathematical tags of group theory
, 2020 I present a collection of mathematical results regarding group theory organized by tags.
Matheus Pereira Lobo
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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 ...
Jean-Pierre Antoine
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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.
A.N. Ivutin, E.V. Larkin, A.S. Novikov
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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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GROUP THEORY FOR TEACHERS OF ELEMENTARY MATHEMATICS [PDF]
School Science and Mathematics, 1906 G. A. Miller
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COMPLEMENTAL BINARY OPERATIONS OF SETS AND THEIR APPLICATION TO GROUP THEORY
Matrix Science Mathematic, 2023 Set theory is considered as the foundation of all mathematics since many mathematical concepts cannot be defined precisely without using set-theoretical concepts.
A. Sezgi̇n +3 more
semanticscholar +1 more source
Education sciences, 2022 Prior research has shown how incorporating group theory into upper secondary school or undergraduate mathematics education may positively impact learners’ conceptual understanding of mathematics in general and algebraic concepts in particular.
J. Veith +2 more
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Mathematical Crystallography and the Theory of Groups of Movements [PDF]
Nature, 1903 Harold Hilton
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On the existence of block-transitive combinatorial designs [PDF]
, 2010 Block-transitive Steiner $t$-designs form a central part of the study of highly symmetric combinatorial configurations at the interface of several disciplines, including group theory, geometry, combinatorics, coding and information theory, and ...
Huber, Michael
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