Free CR distributions

There are only some exceptional CR dimensions and codimensions such that the geometries enjoy a discrete classification of the pointwise types of the homogeneous models. The cases of CR dimensions $n$ and codimensions $n^2$ are among the very few possibilities of the so called parabolic geometries. Indeed, the homogeneous model turns out to be \PSU(n+1,n)/P with a suitable parabolic subgroup $P$. We study the geometric properties of such real $(2n+n^2)$-dimensional submanifolds in $\mathbb C^{n+n^2}$ for all $n>1$. In particular we show that the fundamental invariant is of torsion type, we provide its explicit computation, and we discuss an analogy to the Fefferman construction of a circle bundle in the hypersurface type CR geometry

Functions holomorphic along holomorphic vector fields

The main result of the paper is the following generalization of Forelli's theorem: Suppose F is a holomorphic vector field with singular point at p, such that F is linearizable at p and the matrix is diagonalizable with the eigenvalues whose ratios are positive reals. Then any function $\phi$ that has an asymptotic Taylor expansion at p and is holomorphic along the complex integral curves of F is holomorphic in a neighborhood of p. We also present an example to show that the requirement for ratios of the eigenvalues to be positive reals is necessary

Glass-capillary collimator for distance compensation and partial monochromatization at rotating-anode X-ray generators

Access to the beam ports of rotating-anode X-ray generators is often obstructed by direct-coupled or belt-driven target drives. The construction of an easily adjustable stable glass-capillary collimator is described, which renders possible the unrestricted use of beam ports of these generators. Transmitted intensity and monochromaticity of the primary beam are sufficient for precession photographs of proteins after additional 20 mu m Ni filtering as demonstrated by a precession photograph of hen egg lysozyme. The straight capillary collimator is now a routinely usable low-cost device for each X-ray laboratory

PERSONALITY CHARACTERISTICS OF FORENSIC PATIENTS, INCARCERATED OFFENDERS, AND NONOFFENDING PSYCHIATRIC PATIENTS.

The primary purpose of this study was to compare psychiatric, forensic, and inmate groups in an attempt to clarify the forensic distinction. The second purpose of this study was to examine the applicability of the Overcontrolled Hostility (O-H) scale of the MMPI and its corresponding typology (Megargee, 1967) to the forensic and inmate groups. This typology suggests that persons who commit severely assaultive crimes tend to overcontrol their hostility and score higher on the O-H scale than do persons who commit mildly/moderately assaultive crimes. Sixty subjects per group from an inpatient psychiatry unit, a medium secure forensic assessment unit, and a medium secure Federal Correctional Institution were assessed at admission. Half of the forensic and inmate subjects had been charged with a severely assaultive crime (e.g., murder, attempted murder) and half had been charged with a mildly/moderately assaultive crime (e.g., theft, break and enter) Demographic information, IQ, and MMPI scores, including the O-H scale, were collected for these 180 subjects. Severely assaultive forensic subjects obtained significantly higher O-H scale scores than did mildly/moderately assaultive forensic subjects. Similarly, severely assaultive inmates obtained significantly higher O-H scores than did mildly/moderately assaultive inmates. In addition, both severely assaultive forensic subjects and severely assaultive inmates obtained significantly higher O-H scores than did the group of nonoffending psychiatric subjects. These findings provided further support for the theoretical and clinical utility of the O-H scale within offender populations. Suggestions for future areas of research with this scale were offered. While forensic subjects shared characteristics with both psychiatric subjects and inmates, discriminant function analysis found the forensic group to be more similar to the psychiatric group than to the inmate group, based upon MMPI scores, IQ, age, and education. Certain MMPI scales were found to be more effective in this discrimination than were others and the clinical implications of these scales were discussed. The forensic subjects in this study were less often diagnosed psychotic as compared to the psychiatric subjects, and they tended to exhibit milder indications of psychopathology. Alcohol abuse was a frequently diagnosed problem for forensic subjects, as compared to the other two groups. The implications of these and other distinguishing forensic characteristics for the assessment and treatment of forensic subjects were discussed. Finally, recommendations for further investigation within the forensic speciality were offered.Dept. of Psychology. Paper copy at Leddy Library: Theses & Major Papers - Basement, West Bldg. / Call Number: Thesis1986 .S353. Source: Dissertation Abstracts International, Volume: 47-05, Section: B, page: 2185. Thesis (Ph.D.)--University of Windsor (Canada), 1986

Electrostatic attraction of nanoobjects - a versatile strategy towards mesostructured transition metal compounds

This highlight summarizes current challenges of mesostructuring and focuses on the scope and the potential of the ELAN – (electrostatic attraction of nanoobjects) strategy in mesostructuring of transition metal compounds. It discusses the limitations of this concept and highlights prominent examples. ELAN exploits the Coulomb attraction between inorganic precursors and polymeric templates in order to prevent macrophase separation. Essential requirements for ELAN are tailor-made, mesoscopic polyelectrolytic templates and charged molecular oligo-ions or stable colloids carrying a surface charge. The ELAN-strategy is highly reliable and opens the way to crystalline, mesoporous transition metal compounds with predefined polymorphism. It also provides the possibility to adjust wall chemistry and reactivity as well as the flexibility to synthesise different mesostructures (spheres, non-woven arrays or hexagonally ordered phases)

Field theoretic approach to the counting problem of Hamiltonian cycles of graphs

A Hamiltonian cycle of a graph is a closed path that visits each site once and only once. I study a field theoretic representation for the number of Hamiltonian cycles for arbitrary graphs. By integrating out quadratic fluctuations around the saddle point, one obtains an estimate for the number which reflects characteristics of graphs well. The accuracy of the estimate is verified by applying it to 2d square lattices with various boundary conditions. This is the first example of extracting meaningful information from the quadratic approximation to the field theory representation.Comment: 5 pages, 3 figures, uses epsf.sty. Estimates for the site entropy and the gamma exponent indicated explicitl