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Full-Text Articles in Mathematics
2007 (Fall), University Of Dayton. Department Of Mathematics
2007 (Fall), University Of Dayton. Department Of Mathematics
Colloquia
Abstracts of the talks given at the 2007 Fall Colloquium.
A Spectral Order For Infinite Dimensional Quantum Spaces: A Preliminary Report, Joe Mashburn
A Spectral Order For Infinite Dimensional Quantum Spaces: A Preliminary Report, Joe Mashburn
Mathematics Faculty Publications
In 2002 Coecke and Martin created a Bayesian order for the finite dimensional spaces of classical states in physics and used this to define a similar order, the spectral order on the finite dimensional quantum states. These orders gave the spaces a structure similar to that of a domain. This allows for measuring information content of states and for determining which partial states are approximations of which pure states. In a previous paper the author extended the Bayesian order to infinite dimensional spaces of classical states. The order on infinite dimensional spaces retains many of the characteristics important to physics, …
A Transform Method In Discrete Fractional Calculus, Ferhan M. Atici, Paul W. Eloe
A Transform Method In Discrete Fractional Calculus, Ferhan M. Atici, Paul W. Eloe
Mathematics Faculty Publications
We begin with an introduction to a calculus of fractional finite differences. We extend the discrete Laplace transform to develop a discrete transform method. We define a family of finite fractional difference equations and employ the transform method to obtain solutions.
Garden-Variety Symmetry (Abstract), Colleen Hoover
Garden-Variety Symmetry (Abstract), Colleen Hoover
Undergraduate Mathematics Day
After a gentle introduction to the topic of symmetry, we will explore the symmetry groups of bounded plane figures, pulling examples from the garden.
2007 Undergraduate Mathematics Day Poster, University Of Dayton. Department Of Mathematics
2007 Undergraduate Mathematics Day Poster, University Of Dayton. Department Of Mathematics
Undergraduate Mathematics Day
No abstract provided.
2007 Program And Abstracts, University Of Dayton. Department Of Mathematics
2007 Program And Abstracts, University Of Dayton. Department Of Mathematics
Undergraduate Mathematics Day
No abstract provided.
An Euler Trifecta (Abstract), William Dunham
An Euler Trifecta (Abstract), William Dunham
Kenneth C. Schraut Memorial Lectures
To recognize Leonhard Euler’s 300th birthday, we sketch his life and give a brief survey of some of his mathematical achievements.
Eighth Kenneth C. Schraut Memorial Lecture (Poster), University Of Dayton. Department Of Mathematics
Eighth Kenneth C. Schraut Memorial Lecture (Poster), University Of Dayton. Department Of Mathematics
Kenneth C. Schraut Memorial Lectures
No abstract provided.
A Comparison Of Three Topologies On Ordered Sets, Joe Mashburn
A Comparison Of Three Topologies On Ordered Sets, Joe Mashburn
Mathematics Faculty Publications
We introduce two new topologies on ordered sets: the way below topology and weakly way below topology. These are similar in definition to the Scott topology, but are very different if the set is not continuous. The basic properties of these three topologies are compared. We will show that while domain representable spaces must be Baire, this is not the case with the new topologies.
2007 (Winter), University Of Dayton. Department Of Mathematics
2007 (Winter), University Of Dayton. Department Of Mathematics
Colloquia
Abstracts of the talks given at the 2007 Winter Colloquium.