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Now showing items 1-10 of 22

### Mathematical and Numerical Analysis for Linear Peridynamic Boundary Value Problems

(2017-04-26)

Peridynamics is motivated in aid of modeling the problems from continuum mechanics which involve the spontaneous discontinuity forms in the motion of a material system. By replacing differentiation with integration, ...

### On Inverse Limits of Metric Spaces

(2017-07-22)

Inverse limit spaces have been a topic studied in various fields of mathematics such as Algebra, Measure Theory, and Topology. Here, we present a theorem that can be summarized as a game in which a given compact metric ...

### q-Steiner Systems and their Automorphisms

(2017-11-30)

The q-analog of t-designs and Steiner systems arises canonically from replacing sets of
conventional t-designs by vector spaces over GF(q) and their orders with the dimensions.
Thomas introduced these generalizations ...

### Compactifications of indecomposable topological spaces

(2017-04-20)

A continuum is a compact and connected topological space. A continuum that is not the union of any two of its proper subcontinua is said to be indecomposable. We examine topological spaces which are closely related to ...

### Number Fields

(2017-04-14)

This paper focuses on number fields and the number rings associated with a particular number field. This topic falls under the study of algebra, and in particular algebraic number theory. The motivation of this paper is ...

### Disjoint G-Designs and the Intersection Problem for Some Seven Edge Graphs

(2017-04-21)

A $G$-Design of order $n$ is a decomposition of the edges of $K_n$ (the complete graph on $n$ vertices) into subgraphs of $K_n$ isomorphic to $G$, called blocks, in which each edge of $K_n$ appears in exactly one block. ...

### Revisiting the Intersection Problem for Maximum Packings of K_(6n+5) with Triples

(2017-04-16)

In 1989, Gaetano Quattrocchi gave a complete solution of the intersection problem for maximum packings of K_(6n+5) with triples when the leave (a 4--cycle) is the same in each maximum packing. Quattrocchi showed that I[2]=2 ...

### Statistical methods for identification of NF-κB related genes and their expression profiles in channel catfish after bacterial infection

(2017-04-16)

Interactions of NF-κB family, IκB family and IKK complex are key components of NF-κB pathway that is essential for many biological processes including innate and adaptive immunity, and inflammation and stress responses. ...

### Progress on the Marcus-de Oliveira Determinantal Conjecture

(2017-04-12)

We discuss the well known conjecture of Marcus and de Oliveira of the determinant of the sum of normal matrices. We present the motivation of this conjecture, along with detailed history of its origin. Then we compile ...

### Toeplitz Matrices are Unitarily Similar to Symmetric Matrices

(2017-07-25)

We prove that Toeplitz matrices are unitarily similar to complex symmetric matrices.
Moreover, two $n\times n$ unitary matrices that uniformly turn all $n\times n$ Toeplitz matrices via
similarity to complex symmetric ...