On solution structure of the radial heat problem with singular data

Initial value problem solutions to radial heat problem with Laplace operator and singular dat

The radial heat equation and Laplace transforms

Integral representations involving Laplace transforms developed for use in solutions of radial heat equatio

Dual Functions and Heat Expansions

Radial heat polynomial transformations in series expansions of heat equatio

Aristotle\u27s Ink: Tattooing a New Understanding of Invention in Collaborative Writing

The field of writing studies continues to be expanded by new mediums of text and new methods of composing. Though rhetorical theory is recognized as being dynamic (Brooke, 2009; McKeon, 1987), it has yet to be remediated to fully account for texts composed collaboratively or visual rhetoric. This dissertation study explores the composing process of tattoos as an intersection of visual rhetoric, invention, and collaborative writing in order to provide to writing studies a remediation of the rhetorical canon of invention that accounts for visual texts composed collaboratively. Data collected included interviews with five tattoo artists and five clients, observations of the tattoo composing and tattooing processes, and photographs of completed tattoos. The findings suggest that authorship, a concept intimately connected to invention, remains complicated and rooted in the Platonic foundations of rhetoric and the Romantic notion of authorship as a profession, both of which privilege the solitary author, even when a text such as a tattoo can only come to fruition through a collaborative composing process. Relative to invention, which deals with the process of creating communication, which is often considered an invisible process (Jasinski, “Invention,” 2001; Lauer, 2004), the findings also illuminate the invention strategies and associated actions a tattoo artist and client utilize during the composing of a tattoo. Significant to this study and the identification of the invention strategies utilized during the composing process of a tattoo is the finding that the invention strategies termed negotiation and integration are similar to stasis theory, a heuristic for invention with roots in classical theories of rhetoric. Identifying the invention strategies and associated actions employed in the collaborative composing process of a visual text suggest pedagogical implications for how teachers can invite collaboration and encourage creative conflict when students are asked to produce visual texts collaboratively. Also in relation to pedagogical implications, the invention strategy of reflection in particular provides another method for participants to evaluate themselves and the contributions of collaborators when asked to compose visual texts collaboratively

Convent Space and the Theater Stage in Early Modern Drama

I suggest there is a connection between Early Modern Theater and religious spaces as a result of the Protestant Reformation. A common setting for Early Modern Drama plays that addressed religious conflict was the monastery or convent. These buildings were a common sight in England in the early 16th century. However, as the Protestant Reformation began, Henry VIII and his primary advisor Thomas Cromwell began to dissolve England’s monasteries and by 1540, most of these religious structures were gone. During the 16th and 17th centuries, it was the secular space of the theater stage that allowed playwrights and actors to address religious concerns associated with the Reformation. Like the reformers who repurposed religious items and spaces for secular use, night after night the theater repurposed secular spaces into convents, brothels and romantic gardens as they performed plays that addressed religious matters, as well as secular matters. In the play The Jew of Malta (Christopher Marlowe), the convent is utilized to demonstrate the hybrid nature of space and identity in post-reformation England. This play addresses the use of the convent in nontraditional ways, and shows how religious spaces are compromised as a result. Furthermore, the hybrid nature of convent spaces calls into question the authenticity of Christian conversion within the text

Elasticity of an interfacial particle raft

We study the collective behaviour of a close packed monolayer of non-Brownian particles at a fluid-liquid interface. Such a particle raft forms a two-dimensional elastic solid and can support anisotropic stresses and strains, e.g. it buckles in uniaxial compression and cracks in tension. We characterise this solid in terms of a Young's modulus and Poisson ratio derived from simple theoretical considerations and show the validity of these estimates by using an experimental buckling assay to deduce the Young's modulus.Comment: 7 pages, 5 figure

On the Bragg, Leibfried, and Modified Leibfried Numbers

The Bragg, Leibfried, and modified Leibfried numbers are defined in the context of a theory of dislocation-mediated melting, and their values are determined from the properties of the dislocation ensemble at the melting temperature. The approximate numerical coincidence of the Bragg and modified Leibfried numbers is explained. The parameter K in the definition of the modified Leibfried number is shown to be the natural logarithm of the effective coordination number. Our analysis reveals that the Bragg number can be considered an elemental constant, in contrast to the Leibfried and modified Leibfried numbers.Comment: 5 pages, LaTe

Simulation of iced wing aerodynamics

The sectional and total aerodynamic load characteristics of moderate aspect ratio wings with and without simulated glaze leading edge ice were studied both computationally, using a three dimensional, compressible Navier-Stokes solver, and experimentally. The wing has an untwisted, untapered planform shape with NACA 0012 airfoil section. The wing has an unswept and swept configuration with aspect ratios of 4.06 and 5.0. Comparisons of computed surface pressures and sectional loads with experimental data for identical configurations are given. The abrupt decrease in stall angle of attack for the wing, as a result of the leading edge ice formation, was demonstrated numerically and experimentally