Results 1 to 10 of about 1,837,074 (207)
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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Mathematics and group theory in music [PDF]
, 2014 The purpose of this paper is to show through particular examples how group theory is used in music. The examples are chosen from the theoretical work and from the compositions of Olivier Messiaen (1908-1992), one of the most influential twentieth century composers and pedagogues. Messiaen consciously used mathematical concepts derived from symmetry and
Athanase Papadopoulos
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A Mathematical Theory of Interpersonal Interactions and Group Behavior [PDF]
, 2018 Emergent collective group processes and capabilities have been studied through analysis of transactive memory, measures of group task performance, and group intelligence, among others. In their approach to collective behaviors, these approaches transcend traditional studies of group decision making that focus on how individual preferences combine ...
Yaneer Bar‐Yam, David Kantor
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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.
Alexey Ivutin +2 more
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Application of Mathematical Symmetrical Group Theory in the Creation Process of Digital Holograms [PDF]
Mathematical Problems in Engineering, 2017 This work presents an algorithm to reduce the multiplicative computational complexity in the creation of digital holograms, where an object is considered as a set of point sources using mathematical symmetry properties of both the core in the Fresnel integral and the image. The image is modeled using group theory.
Agustín Pérez-Ramírez +4 more
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Hexatonic systems and dual groups in mathematical music theory [PDF]
Involve, a Journal of Mathematics, 2017 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 ...
Cameron Berry +3 more
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Mathematical Crystallography and the Theory of Groups of Movements [PDF]
Nature, 1903 Harold Hilton
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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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Development of the applied mathematics originating from the group theory of physical and mathematical problems [PDF]
, 1996 This is the final report of a three-year, Laboratory-Directed Research and Development (LDRD) project at the Los Alamos National Laboratory (LANL). Group theoretical methods are a powerful tool both in their applications to mathematics and to physics. The broad goal of this project was to use such methods to develop the implications of group (symmetry)
James Benjamin Hyman +3 more
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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.
Esra ARIKAN Elif +2 more
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