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

Imaging natural materials with a quasi-microscope

A Viking lander camera with auxilliary optics mounted inside the dust post was evaluated to determine its capability for imaging the inorganic properties of granular materials. During mission operations, prepared samples would be delivered to a plate positioned within the camera's field of view and depth of focus. The auxiliary optics would then allow soil samples to be imaged with an 11 pm pixel size in the broad band (high resolution, black and white) mode, and a 33 pm pixel size in the multispectral mode. The equipment will be used to characterize: (1) the size distribution of grains produced by igneous (intrusive and extrusive) processes or by shock metamorphism, (2) the size distribution resulting from crushing, chemical alteration, or by hydraulic or aerodynamic sorting; (3) the shape and degree of grain roundness and surface texture induced by mechanical and chemical alteration; and (4) the mineralogy and chemistry of grains

A mathematical model of a large open fire

A mathematical model capable of predicting the detailed characteristics of large, liquid fuel, axisymmetric, pool fires is described. The predicted characteristics include spatial distributions of flame gas velocity, soot concentration and chemical specie concentrations including carbon monoxide, carbon dioxide, water, unreacted oxygen, unreacted fuel and nitrogen. Comparisons of the predictions with experimental values are also given

Communication Apprehension Among Community College Students: A Phenomenology

A qualitative investigation was conducted to explore the phenomenon of communication apprehension among a purposeful sample of five community college students with high levels of communication apprehension. The phenomenon of Communication Apprehension (CA) is “an individual’s level of fear or anxiety associated with either real or anticipated communication with another person or persons” (Beatty, McCroskey, & Heisel, 1998, p. 197; McCroskey, 1970, p. 269). All individuals experience some level of CA, and between 30% and 40% of individuals are estimated to experience high levels of CA. For the community college student with high levels of CA, the introductory communication course can be difficult, causing significant emotional and physical distress. For the high CA student, the experienced anxiety has academic, social, and emotional implications. A phenomenological qualitative methodology was selected to give voice to the high CA student and to understand the lived experience of high CA during the introductory communication course. This study provides a rich, thick description of the lived experience of the high CA community college student. A purposeful sample of five high CA community college students enrolled in the introductory communication course was selected. Participants were identified as high CA using the Personal Report of Public Speaking Apprehension (PRPSA) (McCroskey, 2017). Study participants were selected as follows: those with high levels of CA as determined by the PRPSA instrument, and who were willing to offer insight into the lived experience of high CA. Data were gathered in two 50-minute interviews with each participant and from participatory action research (PAR) personal diaries created by study participants. Data were also gathered from field observations by the primary investigator. The lived experience of high CA is comprised of seven themes: (1) ongoing and pervasive difficulty, (2) ongoing curricular and co-curricular difficulty, (3) no division exists between real and imagined CA, (4) high CA students frequently avoid anxiety-inducing scenarios, and (5) high CA students have not been effectively equipped with mitigating techniques and in turn, use self-developed mitigation. The study is significant because it contributes to the body of knowledge related to CA for the high CA community college student