Now showing items 51-60 of 102
- . . .
- . . .
Electrodiffusion on the surface of bilayer membranes
Contributor:Swager, Melissa R.
The cell memebrane is of utmost importance in the transportation of nutrients to the cell which are needed for survival. The magnitude of this is the inspiration for our study of the lipid bilayer which forms the cell ...
Patterns in dynamics
Contributor:Motta, Francis Charles
In this paper we introduce and explore the idea of persistent homology (PH) and discuss several applications of this computational topology tool beyond its intended purpose. In particular we apply persistence to data ...
Analysis of factors affecting student success in Math 160 calculus for Physical Scientists I, An
Contributor:Reinholz, Daniel Lee
The average success rate in MATH 160 Calculus for Physical Scientists I at Colorado State University has been near 60% for at least the past three years. Weak pre-calculus skills are often cited as one of the primary reasons ...
Maximal curves, zeta functions, and digital signatures
Curves with as many points as possible over a finite field Fq under the Hasse-Weil bound are called maximal curves. Besides being interesting as extremal objects, maximal curves have applications in coding theory. A maximal ...
Multiplicities and equivariant cohomology
Contributor:Lynn, Rebecca E.
The aim of this paper is to address the following problem: how to relate the algebraic definitions and computations of multiplicity from commutative algebra to computations done in the cohomology theory of group actions ...
Hopf bifurcation in anisotropic reaction diffusion systems posed in large rectangles
Contributor:Olson, Travis Andrew
The oscillatory instability (Hopf bifurcation) for anisotropic reaction diffusion equations posed in large (but finite) rectangles is investigated. The work pursued in this dissertation extends previous studies for ...
Functional programming applied to computational algebra
Contributor:Kessler, Ian Holm
Underlying many, if not all, areas of mathematics is category theory, an alternative to set theory as a foundation that formalizes mathematical structures and relations between them. These relations abstract the idea of a ...
Abstract Hyperovals, Partial Geometries, and Transitive Hyperovals
Contributor:Cooper, Benjamin C.
A hyperoval is a (q+2)- arc of a projective plane π, of order q with q even. Let G denote the collineation group of π containing a hyperoval Ω. We say that Ω is transitive if for any pair of points x, y is an element of ...
Grassmann, Flag, and Schubert varieties in applications
Contributor:Marrinan, Timothy P.
This dissertation develops mathematical tools for signal processing and pattern recognition tasks where data with the same identity is assumed to vary linearly. We build on the growing canon of techniques for analyzing and ...
Two-step coding theorem in the nearly continuous category
In measurable dynamics, one studies the measurable properties of dynamical systems. A recent surge of interest has been to study dynamical systems which have both a measurable and a topological structure. A nearly continuous ...