Open Access. Powered by Scholars. Published by Universities.®
- Keyword
-
- Finite groups (2)
- Algebra (1)
- Anneaux (Algèbre) (1)
- Automorphic functions (1)
- Cellular automata (1)
-
- Coding theory (1)
- Cohomology operations (1)
- Compact groups (1)
- Data encryption (Computer science) (1)
- Differential equations (1)
- Differential operators (1)
- Duality theory (Mathematics) (1)
- Espace de Hilbert (1)
- Espaces vectoriels (1)
- Factorization (Mathematics) (1)
- Geometry (1)
- Geometry Foundations (1)
- Groupes compacts (1)
- Groupes finis (1)
- Hilbert space (1)
- Hilbert space. (1)
- Homology theory (1)
- Homomorphismes (Mathématiques) (1)
- Homomorphisms (Mathematics) (1)
- Hyperbolic (1)
- Mathematical models (1)
- Mathematical physics (1)
- Mathematicians (1)
- Mathematics History (1)
- Mathematics. (1)
Articles 1 - 9 of 9
Full-Text Articles in Mathematics
Simulating Spatial Partial Differential Equations With Cellular Automata, Brian Paul Strader
Simulating Spatial Partial Differential Equations With Cellular Automata, Brian Paul Strader
Theses Digitization Project
The purpose of this project was to define the relationship and show how an important subset of spatial differential equations can be transformed into cellular automata. Contains source code.
Studies In Free Module And It's Basis, Hsu-Chia Chen
Studies In Free Module And It's Basis, Hsu-Chia Chen
Theses Digitization Project
The purpose of this project was to study some basic properties of free modules over a ring. A module with a basis is called a free module and a free module over a division ring (or field) is called a vector space. We show every vector has a basis and any two bases of a vector space have same cardinality. However, a free module over an arbitrary ring (with identity) does not have this property.
Tessellations Of The Hyperbolic Plane, Roberto Carlos Soto
Tessellations Of The Hyperbolic Plane, Roberto Carlos Soto
Theses Digitization Project
In this thesis, the two models of hyperbolic geometry, properties of hyperbolic geometry, fundamental regions created by Fuchsian groups, and the tessellations that arise from such groups are discussed.
Factorization, Di Phan Reagan
Factorization, Di Phan Reagan
Theses Digitization Project
The purpose of this thesis will focus on the two most efficient algorithms which are quadratic sieve and number field sieve. Background information such as definitions and theorems are given to help understand the concepts behind each method.
Chinese Remainder Theorem And Its Applications, Jacquelyn Ha Lac
Chinese Remainder Theorem And Its Applications, Jacquelyn Ha Lac
Theses Digitization Project
No abstract provided.
Poincaré Duality, Christopher Michael Duran
Poincaré Duality, Christopher Michael Duran
Theses Digitization Project
This project is an expository study of the Poincaré duality theorem. Homology, cohomology groups of manifolds and other aglebraic and topological preliminaires are discussed.
Operations In Hilbert Space, Dennis Michael Gumaer
Operations In Hilbert Space, Dennis Michael Gumaer
Theses Digitization Project
This thesis reviews some of the major topics in elementary Hilbert space theory. The theory of operators is developed by providing details regarding several types of operators, in particular compact operators. This study of compact operators is the start of the refinement of bounded linear operators to those which are also members of the Schatten p-class operators.
Symmetric Representation Of The Elements Of Finite Groups, Barbara Hope Gwinn-Edwards
Symmetric Representation Of The Elements Of Finite Groups, Barbara Hope Gwinn-Edwards
Theses Digitization Project
The main purpose of this thesis is to construct finite groups as homomorphic images of infinite semi-direct products.
Foundations Of Geometry, Lawrence Michael Clarke
Foundations Of Geometry, Lawrence Michael Clarke
Theses Digitization Project
In this paper, a brief introduction to the history, and development of Euclidean geometry will be followed by a biographical background of David Hilbert, highlighting significant events in his educational and professional life. In an attempt to add rigor to the presentation of geometry, Hilbert defined concepts and presented five groups of axioms that were mutually independent yet compatible, including introducing axioms of congruence in order to present displacement.