The gauge integral is a rather obscure object in mathematics. Like the Riemann integral, it is relatively simple to define, but unlike the Riemann integral, the gauge integral has the ability to integrate a very large class of functions. Here, we provide a development of the gauge integral at an...
A recent article by Cozzi and Kelliher [3] has demonstrated a sense of "locality" to the incompressible Euler equations which mirrors physical fluid behavior. We further develop the corresponding notion of "damping," and identify both temporal and local damping behaviors. To represent this problem, we perturb the initial condition of...
In biological models, advection is inherently a non-local process. Coupled with diffusion, it typically models chemotaxis, which is the response of bacteria to the presence of some chemo attractant. For example, E. coli cells use their flagella to probe their surroundings to determine where they should move. The advection-diffusion equation...
The purpose of this research study was to test a psychological theory of motivation called the Flow Theory by Csikszentmihalyi as it relates to non-industrial textile production activities. In using the Flow Theory, researchers attempt to explain why individuals continue participation with a specific activity; namely that the activity induces...
Cultural authentication is a concept that was developed by Erekosima (1979), Erekosima and Eicher (1981), and Eicher and Erekosima (1980, 1995) to aid in the description of the transfer of artifacts from one culture to another. The purpose of this study was to investigate whether the development of belly dance...
The purpose of this study was to explore the relationship of dress and queer women and how their sexual identity influences their appearance management behaviors. I answered the following research questions: (1) How is gender identity constructed and negotiated in different spaces for queer? (2) Does sexual identity influence dress...