Now showing items 31-40 of 102
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Nucleation and growth : modeling the NH3 - HCL reaction
Contributor:Shinn, Jaime M.
One of the trademarks of a Liesegang ring system is the exhibition of a moving reaction front to form a periodic precipitation pattern. This phenomenon has been studied by both chemists and mathematicians. The periodic ...
Integrated mathematics/science activity for secondary students : development, implementation, and student feedback, An
Contributor:Gentry, Abigail Rose
Mathematics teachers are often challenged by their students to give reasoning for why learning mathematics is necessary. An approach to address this question is to show students the value in learning mathematics by ...
Anomaly detection in terrestrial hyperspectral video using variants of the RX algorithm
Contributor:Schwickerath, Anthony N.
There is currently interest in detecting the use of chemical and biological weapons using hyperspectral sensors. Much of the research in this area assumes the spectral signature of the weapon is known in advance. ...
Linear systems and Riemann-Roch theory on graphs
Graphs can be viewed as discrete counterparts to algebraic curves, as exemplified by the recent Riemann-Roch formula for integral divisors on multigraphs. We show that for any subring R of the reals, the Riemann-Roch ...
Abelian surfaces with real multiplication over finite fields
Given a simple abelian surface A/Fq, the endomorphism algebra, End(A) ⊗ Q, contains a unique real quadratic subfield. We explore two different but related questions about when a particular real quadratic subfield K+ is the ...
Intersections of ψ classes on Hassett spaces of rational curves
Hassett spaces are moduli spaces of weighted stable pointed curves. In this work, we consider such spaces of curves of genus 0 with weights all 1/q , q being a positive integer greater than or equal to 2. These spaces are ...
Multidimensional scaling : infinite metric measure spaces
Multidimensional scaling (MDS) is a popular technique for mapping a finite metric space into a low-dimensional Euclidean space in a way that best preserves pairwise distances. We study a notion of MDS on infinite metric ...
Steady state Hopf mode interaction in anisotropic systems
A paradigm example of pattern formation in anisotropic extended systems is the electroconvection of nematic liquid crystals, due to its easily accessible control parameters and the variety of patterns near onset. Some of ...
Pattern formation in reaction diffusion systems and ion bombardment of surfaces
Contributor:Hashmi, Bahaudin A.
We have analyzed pattern formation in two different systems: (1) Vapor-to-particle reaction diffusion systems and (2) Highly ordered square arrays in ion bombardment. The vapor-to-particle reaction exhibits oscillatory ...
Flag of best fit as a representative for a collection of linear subspaces, The
Contributor:Marrinan, Timothy P.
This thesis will develop a technique for representing a collection of subspaces with a flag of best fit, and apply it to practical problems within computer vision and pattern analysis. In particular, we will find a nested ...