Mathematics Commons^™

Bioactivity And Structural Properties Of Hydroxyapatite On Ti6a|4v And Si(100) Surfaces By Pulsed Laser Deposition, Salizhan Kylchbekov

Masters Theses & Specialist Projects

Although biomedical implant technology is very advanced, there are still caveats in terms of biocompatibility properties because metals are inert to biological processes such as osseointegration, cell growth, and cell adhesion. This results in statistically significant complications and opens rooms for improvements. Among many techniques to improve this problem, coating the metal surface with biologically functional materials has resulted in the best performances. Hydroxyapatite (HAP), Ca_₁₀(PO_₄)_₆(OH)_₂, is the most stable form of calcium phosphates in human body environment and is functional in key processes such as ion exchange, osteoblast (bone cells) formation, …

Diving Into Reliable Numerical Observability And Stabilization Of The One-Dimensional Wave Equation, Emma Moore

Mahurin Honors College Capstone Experience/Thesis Projects

In this project, a one-dimensional wave equation, which is a partial differential equation (PDE) describing vibrations on a string, is considered. It is known that the PDE model is exactly observable and exponentially stabilizable. The main goal of this project is to construct a numerical approximation technique, so-called the direct filtering technique, to prove that the Finite Difference and Finite Element space-discretized 1-D wave equations (i) with homogeneous Dirichlet boundary conditions are uniformly observable, (ii) with controlled boundary conditions are uniformly exponentially stable, as the approximation parameters tend to zero. It is crucial to develop reliable numerical approximation techniques for …

An Analysis Of A Hybrid Steel Bridge, Andrew Iglehart

Mahurin Honors College Capstone Experience/Thesis Projects

The American Institute of Steel Construction hosts a competition for graduating college seniors each year. The competition is designing and fabricating a scaled steel bridge within certain parameters. Each year the parameters change to allow different seniors to face similar challenges without copying the previous year’s work. Before the outbreak of COVID-19, a bridge was fabricated as per the rules in the 2020, and the same bridge was used for the 2021 competition. With a bridge already fabricated and being used for the competition, a question arose about analyzing the bridge.

This thesis encompasses the entire analysis of the steel …

Ua84 Sigma Chi, Wku Archives

WKU Archives Collection Inventories

Records created by and about the WKU chapter of Sigma Xi.

Controllability And Observability Of The Discrete Fractional Linear State-Space Model, Duc M. Nguyen

Masters Theses & Specialist Projects

This thesis aims to investigate the controllability and observability of the discrete fractional linear time-invariant state-space model. First, we will establish key concepts and properties which are the tools necessary for our task. In the third chapter, we will discuss the discrete state-space model and set up the criteria for these two properties. Then, in the fourth chapter, we will attempt to apply these criteria to the discrete fractional model. The general flow of our objectives is as follows: we start with the first-order linear difference equation, move on to the discrete system, then the fractional difference equation, and finally …

Ogden College Of Science & Engineering Newsletter (Summer 2016), Cheryl Stevens, Dean

Ogden College of Science & Engineering Publications

No abstract provided.

Ogden College Of Science & Engineering Newsletter (Spring 2016), Cheryl Stevens, Dean, Ogden College Of Science & Engineering

Ogden College of Science & Engineering Publications

No abstract provided.

Ogden College Of Science & Engineering Newsletter (Fall 2015), Cheryl Stevens, Dean

Ogden College of Science & Engineering Publications

No abstract provided.

Ogden College Of Science & Engineering Newsletter (Summer 2015), Cheryl Stevens, Dean

Ogden College of Science & Engineering Publications

No abstract provided.

Ogden College Of Science & Engineering Newsletter (Spring 2015), Cheryl Stevens, Dean

Ogden College of Science & Engineering Publications

No abstract provided.

Ogden College Of Science & Engineering Newsletter (Winter 2015), Cheryl Stevens, Dean

Ogden College of Science & Engineering Publications

No abstract provided.

Ogden College Of Science & Engineering Newsletter (Winter 2014), Cheryl Stevens, Dean

Ogden College of Science & Engineering Publications

No abstract provided.

Ogden College Of Science & Engineering Newsletter (Fall 2014), Cheryl Stevens, Dean

Ogden College of Science & Engineering Publications

No abstract provided.

Ua66 2007 Student Awards Ceremony, Wku Ogden College Of Science & Engineering

WKU Archives Records

Program recognizing Ogden College students with brief list of activities for each student.