Ray class invariants over imaginary quadratic fields

Let $K$ be an imaginary quadratic field of discriminant less than or equal to -7 and $K_{(N)}$ be its ray class field modulo $N$ for an integer $N$ greater than 1. We prove that singular values of certain Siegel functions generate $K_{(N)}$ over $K$ by extending the idea of our previous work. These generators are not only the simplest ones conjectured by Schertz, but also quite useful in the matter of computation of class polynomials. We indeed give an algorithm to find all conjugates of such generators by virtue of Gee and Stevenhagen

Current-Induced Resonant Motion of a Magnetic Vortex Core: Effect of Nonadiabatic Spin Torque

The current-induced resonant excitation of a magnetic vortex core is investigated by means of analytical and micromagnetic calculations. We find that the radius and the phase shift of the resonant motion are not correctly described by the analytical equations because of the dynamic distortion of a vortex core. In contrast, the initial tilting angle of a vortex core is free from the distortion and determined by the nonadiabaticity of the spin torque. It is insensitive to experimentally uncontrollable current-induced in-plane Oersted field. We propose that a time-resolved imaging of the very initial trajectory of a core is essential to experimentally estimate the nonadiabaticity.Comment: 4 pages, 4 figure

Moral Perception and Education in the World Today

Moral perception is the non-inferential moral awareness immediately associated with moral emotion and action. Unfortunately, moral blindness, the incapability of moral perception, is frequently observed in the contemporary world. In order to account for the prevalence of moral blindness moral perception needs to be illuminated first, and the central purpose of this investigation is to elucidate the core property of moral perception. Moral perception has been denied by many modern moral theorists for a long time, but moral perception is an essential constituent of morality, which is also found in traditional moral philosophies, such as Aristotle's and Nietzsche's. Very recently, moral perception begins to be recognized as a way of moral awareness, but the number and diversity of research on it are still limited. Joining the recent effort to highlight moral perception this research attempts a new approach, phenomenological explication of moral perception, and Dewey's concept of perception and Heidegger's concept of thinking are mainly drawn on. For Dewey, perception presupposes the participatory subject who becomes to be related to the object or the situation, which is contrasted to the detached subject of recognition. Heidegger conceives thinking in a primordial sense which includes the perceptive level. Thinking begins with being inclined toward each other. On the ground of mutual inclination thinking becomes thanking to receive all that touch us. As Dewey and Heidegger similarly inform it, the essence of perception is the immediate connection between the perceiver and the perceived, and it is particularly distinct in moral perception. As an illustration of moral perception a Korean movie, Poetry by Chang-dong Lee, is introduced. Mija, the main character of the movie vividly embodies moral perception contrasted to moral blindness of the modern world. Considering the circumstance of modern world where the natural cultivation of moral perception is hindered, it is time to ask what kind of seeing and thinking should be cared about for education today

Seasonal Gradient Patterns of Polycyclic Aromatic Hydrocarbons and Particulate Matter Concentrations near a Highway

Close proximity to roadways has been associated with higher exposure to traffic-related air pollutants. However, analyses of the effects of season and meteorological parameters on horizontal gradient patterns of traffic-generated air pollutants still need to be elucidated. Our objectives were to: (1) determine effects of season on horizontal gradient patterns of polycyclic aromatic hydrocarbons (PAHs), total suspended particles (TSP), and PM2.5 near a heavily trafficked highway; and (2) examine the effect of day-of-the-week variations (weekday versus weekend) associated with traffic counts on measured airborne-contaminant levels. PAHs (Σ8PAHs [MW 228–278]; gas + particulate), TSP and PM2.5 were monitored at nominal distances (50, 100, and 150 m) from the New Jersey Turnpike every 6 days for periods of 24 h, between September 2007 and September 2008. Seasonal variations in the horizontal gradient patterns of Σ8PAHs were observed. In the summer, Σ8PAHs declined significantly between 50–100 m from the highway (23% decrease), but not between the furthermost distances (100–150 m). An inverse pattern was observed in the winter: Σ8PAHs declined between 100–150 m (26% decrease), but not between the closest distances. Σ8PAHs and TSP, but not PM2.5, concentrations measured on weekends were 12–37% lower than those on weekdays, respectively, corresponding to lower diesel traffic volume. This study suggests that people living in the close proximity to highways may be exposed to varying levels of Σ8PAHs, TSP, and PM2.5 depending on distance to highway, season, and day-of-the-week variations