Results 11 to 20 of about 2,462,043 (292)

Application of Mathematical Symmetrical Group Theory in the Creation Process of Digital Holograms [PDF]

open access: hybridMathematical 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
openalex   +3 more sources

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   +5 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

Mathematical Elements of Density Functional Theory [PDF]

open access: yes, 2022
We review some of the basic mathematical results about density functional theory.
arxiv   +1 more source

On the existence of block-transitive combinatorial designs [PDF]

open access: yes, 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
core   +4 more sources

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