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Mathematical components for groups theory

open access: green, 2010
Formal proof systems have evolved considerably in recent years. Success stories like formal proofs of the four color theorem or the prime numbers theorem have shown that formal proof systems have reached a level of maturity that enables them to tackle non-trivial mathematical problems.
Sidi Ould Biha
openalex   +3 more sources

An Overview of the Relationship between Group Theory and Representation Theory to the Special Functions in Mathematical Physics

open access: green, 2013
Advances in mathematical physics during the 20th century led to the discovery of a relationship between group theory and representation theory with the theory of special functions. Specifically, it was discovered that many of the special functions are (1) specific matrix elements of matrix representations of Lie groups, and (2) basis functions of ...
Ryan D. Wasson, Robert Gilmore
openalex   +4 more sources

COMPLEMENTAL BINARY OPERATIONS OF SETS AND THEIR APPLICATION TO GROUP THEORY

open access: yesMatrix 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

Assessing Learners’ Conceptual Understanding of Introductory Group Theory Using the CI2GT: Development and Analysis of a Concept Inventory

open access: yesEducation 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
semanticscholar   +1 more source

Of McKay Correspondence, Non-linear Sigma-model and Conformal Field Theory [PDF]

open access: yes, 1999
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

Topic Study Group No. 51: Diversity of Theories in Mathematics Education [PDF]

open access: hybrid, 2017
Tommy Dreyfus   +4 more
openalex   +4 more sources

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