Results 1 to 10 of about 1,611,944 (139)
Quasirandomness in discrete mathematics, additive combinatorics and group theory [PDF]
The main objective of this bachelor's thesis will be to present the concept of quasirandomness in various mathematical contexts while proving all the pertinent results.
Hernández Ramos, Adrián
core +2 more sources
Group Theory: Mathematical Expression of Symmetry in Physics [PDF]
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 ...
openaire +3 more sources
Hexatonic systems and dual groups in mathematical music theory [PDF]
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.
openaire +4 more sources
Mathematical Elements of Density Functional Theory [PDF]
We review some of the basic mathematical results about density functional theory.
arxiv +1 more source
Higher Topos Theory in Physics [PDF]
A brief exposition of the point of higher topos theory in (mathematical) physics, commissioned for the Encyclopedia of Mathematical Physics 2nd ed.
arxiv +1 more source
On the existence of block-transitive combinatorial designs [PDF]
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
core +4 more sources
Of McKay Correspondence, Non-linear Sigma-model and Conformal Field Theory [PDF]
The ubiquitous ADE classification has induced many proposals of often mysterious correspondences both in mathematics and physics. The mathematics side includes quiver theory and the McKay Correspondence which relates finite group representation theory to
He, Yang-Hui, Song, Jun S.
core +2 more sources
GROUP THEORY FOR TEACHERS OF ELEMENTARY MATHEMATICS [PDF]
n ...
openaire +2 more sources
Effects of think-pair-share on senior school students’ performance in mathematics in Ilorin, Nigeria [PDF]
The performance of Nigerian students in the Senior School Certificate Mathematics Examinations over the years has not been encouraging. Studies have indicated that this is partly due to students’ lack of in-depth knowledge of some selected topics in ...
Akanmu, Morenikeji Alex
core +2 more sources
An examination in Turkey: Error analysis of Mathematics students on group theory [PDF]
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
openaire +3 more sources