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Now showing items 1-10 of 59

### Non-metric Continua that support Whitney maps

(2009-02-23)

An example of a non-metric continuum is constructed, where every non-degenerate subcontinuum is non-metric, that supports a Whitney
map. Additional non-metric examples are given and examinations of conditions under which ...

### Stochastic Differential Equations: A Dynamical Systems Approach

(2008-09-09)

The relatively new subject of stochastic differential equations has increasing impor-
tance in both theory and applications. The subject draws upon two main sources, prob-
ability/stochastic processes and differential ...

### On the existence of even and k-divisible-matchings

(2008-09-09)

The concept of an an even matching was first introduced by Billington and Hoffman.
They were used to find gregarious 4-cycle decompositions of $K_{8t(a),b}$ with a and b odd.
Their paper contains even matchings of type ...

### Generalization of Ky Fan-Amir-Moez-Horn-Mirsky's result on the eigenvalues and real singular values of a matrix

(2008-09-09)

Ky Fan's result states that the real part of the eigenvalues of an n by n com-
plex matrix A is majorized by the eigenvalues of the Hermitian part of A. The
converse was established by Amir-Moez and Horn, and Mirsky, ...

### An example of movable approximations of a minimal set in a continuous flow

(2009-02-23)

In the present dissertation the study of flows on n-manifolds in particular in dimension three, e.g., R^3, is motivated by the following question. Let A be a compact invariant set in a flow on X. Does every neighbourhood ...

### Poroelasticity

(2009-02-23)

Poroelasticity is the study of elastic deformation of porous materials saturated with a fluid and the coupling between the fluid pressure and the solid deformation.
Considerable progress has been made in formulating ...

### New Classes of Multivariate Gamma Survival and Reliability Models

(2008-09-09)

Multivariate modeling and analysis based on the multivariate normal distribution is well established and widely used. However, when the marginal distributions have only a positive support, such as time-to-event models, ...

### Torsionless Modules and Minimal Generating Sets for Ideals of Integral Domains

(2008-09-09)

This is a treatise of relationships between the number of elements necessary to generate the ideals of a domain and the
torsionless modules of that domain. Three types of domains are
identified according to natural ...

### Path and Cycle Decompositions

(2008-09-09)

A $G$-design is a partition of edge set of K_v in which each element induces a copy of G. The existence of G-designs with the additional property that they contain no proper subsystems has been
previously settled when G ...

### The Intersection Problem for Latin Squares with Holes of Size 2 and 3

(2009-04-28)

In this dissertation we give complete solutions for the intersection problem of latin
squares with holes of size 2 and 3. For a pair of 2n x 2n latin squares with holes of size 2
to have k entries in common outside of ...