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Now showing items 1-10 of 12

### Atomic Characterization of L_1 And The Lorentz-Bochner Space L^X(p,1) for With Some Applications

(2016-12-09)

In the 1950s, G. G Lorentz introduced the spaces $\Lambda(\alpha)$ and $M(\alpha)$, for $0<\alpha<1$ and showed that the dual of $\Lambda(\alpha)$ is equivalent to $M(\alpha)$ in his paper titled 'Some New Functional ...

### Extensions of Monotonicity Results to Semisimple Lie Groups

(2016-05-05)

We extend a monotonicity result of Wang and Gong on the product of powers of positive definite matrices. This result concerns the eigenvalues of such products which written as vectors have a log majorization relationship. ...

### Rank-Based Estimation for Generalized Additive Models

(2016-07-08)

This thesis focuses on the improvement of generalized additive models (GAMs) using rank estimators. We introduce estimation of the smoothing functions in GAMs via backfitting in a local scoring algorithm using maximization ...

### Derivations of subalgebras of the Lie algebra of block upper triangular matrices

(2016-07-22)

This dissertation studies the derivations of some subalgebras of the Lie algebra of block
upper triangular matrices. Specifically, we study the derivations of the Lie algebra of strictly
block upper triangular matrices ...

### Classification Using A Functional Partial Least Squares Logistic Regression Method

(2016-04-12)

Statistical analysis of functional data has been explored extensively over the last decade
and functional partial least squares regression has emerged as a popular choice for classification problems. In partial least ...

### Euclidean Szlam Numbers

(2016-08-04)

Suppose X ⊆ R n , for some positive integer n, is closed under vector addition, ρ a
translation invariant distance function on X, and D ⊆ (0, ∞). The distance graph G ρ (R n , D)
is the graph with vertex set R n with u, ...

### The Fractional Chromatic Number and the Hall Ratio

(2016-07-29)

All graphs in this paper are both ﬁnite and simple. α(G) is the vertex independence of a graph, G. The Hall ratio of G is deﬁned as ρ(G) = max[n(H) /α(H) |n(H) = |V (H)|and H ⊆ G] where H ⊆ G means that H is a subgraph of ...

### The Intersection Problem for Steiner Triple Systems

(2016-04-22)

A Steiner triple system of order n is a pair (S,T) where T is an edge disjoint partition
of the edge set of K_n (the complete undirected graph on n vertices with vertex set S) into triangles (or triples). It is by now ...

### On Galvin's Theorem and Stable Matchings

(2016-08-05)

In this thesis, we will discuss list edge coloring and its relation to stable matchings. In particular, we will present three proofs of Galvin's famous theorem that bipartite graphs satisfy the list edge coloring conjecture. ...

### Nonparametric Analysis of Temperature and Carbon Source Effects on vfr Gene Expression and Regulation

(2016-04-27)

Since temperatures and carbon sources are potential conditions that affect gene expression and regulation, experiments of vfr expression and regulation in the organism Pseudomonas aeruginosa were designed and performed to ...