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Articles 1 - 15 of 15
Full-Text Articles in Physical Sciences and Mathematics
From Subcompact To Domain Representable, William Fleissner, Lynne Yengulalp
From Subcompact To Domain Representable, William Fleissner, Lynne Yengulalp
Mathematics Faculty Publications
No abstract provided.
2015 (Fall), University Of Dayton. Department Of Mathematics
2015 (Fall), University Of Dayton. Department Of Mathematics
Colloquia
Abstracts of the talks given at the 2015 Fall Colloquium.
Infographics And Mathematics: A Mechanism For Effective Learning In The Classroom, Ivan Sudakov, Thomas Bellsky, Svetlana Usenyuk, Victoria V. Polyakova
Infographics And Mathematics: A Mechanism For Effective Learning In The Classroom, Ivan Sudakov, Thomas Bellsky, Svetlana Usenyuk, Victoria V. Polyakova
Physics Faculty Publications
This work discusses the creation and use of infographies in an undergraduate mathematics course. Infographies are a visualization of information combining data, formulas, and images. This article discusses how to form an infographic and uses infographics on topics within mathematics and climate as examples. It concludes with survey data from undergraduate students on both the general use of infographics and on the specific infographics designed by the authors.
2015 (Summer), University Of Dayton. Department Of Mathematics
2015 (Summer), University Of Dayton. Department Of Mathematics
Colloquia
Abstracts of the talks given at the 2015 Summer Colloquium.
2015 (Spring), University Of Dayton. Department Of Mathematics
2015 (Spring), University Of Dayton. Department Of Mathematics
Colloquia
Abstracts of the talks given at the 2015 Spring Colloquium.
Root Cover Pebbling On Graphs, Claire A. Sonneborn
Root Cover Pebbling On Graphs, Claire A. Sonneborn
Honors Theses
Consider a graph, G, with pebbles on its vertices. A pebbling move is defined to be the removal of two pebbles from one vertex and the addition of one pebble to an adjacent vertex. The cover pebbling number of a graph, γ(G), is the minimum number of pebbles such that, given any configuration of γ(G) pebbles on the vertices of G, pebbling moves can be used to place one pebble on each vertex of G. We define the root vertex of a graph and fix an initial configuration of pebbles on G where we place all pebbles on the root …
Multi-Term Linear Fractional Nabla Difference Equations With Constant Coefficients, Paul W. Eloe, Zi Ouyang
Multi-Term Linear Fractional Nabla Difference Equations With Constant Coefficients, Paul W. Eloe, Zi Ouyang
Mathematics Faculty Publications
We shall consider a linear fractional nabla (backward) fractional difference equation of Riemann–Liouville type with constant coefficients. We apply a transform method to construct solutions. Sufficient conditions in terms of the coefficients are given so that the solutions are absolutely convergent. The method is known for two-term fractional difference equations; the method is new for fractional equations with three or more terms. As a corollary, we exhibit new summation representations of a discrete exponential function, at, t = 0; 1; : : : .
The Graph Theory Origin Story (Abstract), Daniel Roberts
The Graph Theory Origin Story (Abstract), Daniel Roberts
Undergraduate Mathematics Day
Many research questions in pure mathematics arise from considerations of real world problems. Part of the job of a mathematician is to ask this type of question.
2015 Program And Abstracts, University Of Dayton. Department Of Mathematics
2015 Program And Abstracts, University Of Dayton. Department Of Mathematics
Undergraduate Mathematics Day
No abstract provided.
2015 Undergraduate Mathematics Day Poster, University Of Dayton. Department Of Mathematics
2015 Undergraduate Mathematics Day Poster, University Of Dayton. Department Of Mathematics
Undergraduate Mathematics Day
No abstract provided.
Riemannian Geometry (Abstract), Chikako Mese
Riemannian Geometry (Abstract), Chikako Mese
Kenneth C. Schraut Memorial Lectures
Riemannian Geometry studies the geometry of curved spaces. It originated with the ideas of the Bernhard Riemann in the 19th century extending Gaussian geometry, or the study of geometry of curves and surfaces contained in 3 dimensional Euclidean space.
Sixteenth Kenneth C. Schraut Memorial Lecture (Poster), University Of Dayton. Department Of Mathematics
Sixteenth Kenneth C. Schraut Memorial Lecture (Poster), University Of Dayton. Department Of Mathematics
Kenneth C. Schraut Memorial Lectures
No abstract provided.
Sobriety In Delta Not Sober, Joe Mashburn
Sobriety In Delta Not Sober, Joe Mashburn
Mathematics Faculty Publications
We will show that the space delta not sober defined by Coecke and Martin is sober in the Scott topology, but not in the weakly way below topology.
Qualitative Theory Of Functional Differential And Integral Equations, Muhammad Islam, Cemil Tunc, Mouffak Benchohra, Bingwen Lui, Samir H. Saker
Qualitative Theory Of Functional Differential And Integral Equations, Muhammad Islam, Cemil Tunc, Mouffak Benchohra, Bingwen Lui, Samir H. Saker
Mathematics Faculty Publications
Functional differential equations arise in many areas of science and technology: whenever a deterministic relationship involving some varying quantities and their rates of change in space and/or time (expressed as derivatives or differences) is known or postulated. This is illustrated in classical mechanics, where the motion of a body is described by its position and velocity as the time varies. In some cases, this differential equation (called an equation of motion) may be solved explicitly. In fact, differential equations play an important role in modelling virtually every physical, technical, biological, ecological, and epidemiological process, from celestial motion, to bridge design, …
Bounded, Asymptotically Stable, And L^1 Solutions Of Caputo Fractional Differential Equations, Muhammad Islam
Bounded, Asymptotically Stable, And L^1 Solutions Of Caputo Fractional Differential Equations, Muhammad Islam
Mathematics Faculty Publications
The existence of bounded solutions, asymptotically stable solutions, and L1 solutions of a Caputo fractional differential equation has been studied in this paper. The results are obtained from an equivalent Volterra integral equation which is derived by inverting the fractional differential equation. The kernel function of this integral equation is weakly singular and hence the standard techniques that are normally applied on Volterra integral equations do not apply here. This hurdle is overcomed using a resolvent equation and then applying some known properties of the resolvent. In the analysis Schauder's fixed point theorem and Liapunov's method have been employed. …