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Now showing items 1-10 of 19

### Spatial Spread Dynamics of Monostable Equations in Spatially Locally Inhomogeneous Media with Temporal Periodicity

(2013-05-31)

This dissertation is devoted to the study of semilinear dispersal evolution equations.
These type of equations are called as Monostable or KPP type equations, which arise
in modeling the population dynamics of many ...

### Semi-Supervised Classification Techniques in Big Data Text Analytics

(2013-04-22)

Imagine that you are trying to read everything you got in 2011 as soon as possible. That will take the first three months of 2012. How can we get access to the vast unstructured literature, automatically process it, ...

### Path Decompositions of the Kneser Graph

(2013-04-22)

Necessary and sufficient conditions are given for the existence of a graph decomposition of the Kneser Graph $KG_{n,2}$ into paths of length three and four, and of the Generalized Kneser Graph $GKG_{n,3,1}$ into paths of ...

### Mathematics Behind Planimeters

(2013-06-18)

Original master thesis project: By studying the literature, collect and write a survey
paper on the mathematics of the planimeters. Planimeter is a somewhat forgotten ingenious
device which was invented in 1814 to satisfy ...

### Maximum and minimum degree in iterated line graphs

(2013-06-13)

In this thesis we analyze two papers, both by Dr. Stephen G. Hartke and
Dr. Aparna W. Higginson, on maximum and minimum degrees of a graph $G$ under iterated line graph
operations. Let $\Delta_{k}$ and $\delta_{k}$ denote ...

### Analysis and finite element approximation for nonlinear problems in poroelasticity and bioconvection

(2013-04-23)

This dissertation is concerned with nonlinear systems of partial differential equation with solution dependent physical coefficients satisfying the Nemytskii assumption. Such equations arise from two important application ...

### Survival, Count and Discrete Mixture Models for Analyzing Tumor Latency and Multiplicity in Carcinogenesis and Chemoprevention

(2013-04-09)

Since the chemicals, including Bisphenol A (BPA), Bis(2-ethylhexyl) phthalate (DEHP), have been reported for potential carcinogens separately and genistein is an controversial chemopreventive isoflavone, animal experiment ...

### Decomposition of Complete Tri-Partite Graphs into 5-Cycles

(2013-04-16)

E. S. Mahmoodian gave necessary conditions for when the edges of a complete tripartite graph can be partitioned so that each set in the partition induces a 5-cycle. Since then, he, N. J. Cavenagh, E. J. Billington, S. ...

### C-wild knots

(2013-04-16)

Here we give a definition of infinite connected sum of tame knots and define a C-wild knot
to be an infinite connected sum of tame knots whose wild points form a Cantor set. We further
give a classification of C-wild ...

### Asymptotic Results in Noncompact Semisimple Lie Groups

(2013-04-22)

This dissertation is a collection of results on analysis on real noncompact semisimple Lie groups. Specifically, we examine the convergence patterns of sequences arising from the special group decompositions that exist ...