The diophantine problem Y² - X³ = A in a polynomial ring

Let C[z] be the ring of polynomials in z with complex coefficients; we consider the equation Y² — X³ = A, with A[is an element of]C[z] given, and seek solutions of this with X, Y[is an element of]C[z] i.e. we treat the equation as a "polynomial diophantine" problem. We show that when A is of degree 5 or 6 and has no multiple roots, then there are exactly 240 solutions (X, Y) to the problem with deg X ≤ 2 and deg Y ≤ 3

Laser Doppler anemometry

The material in this NASA TM is to appear as a chapter on Laser Doppler Anemometry (LDA) in the AGARDograph entitled, A Survey of Measurements and Measuring Techniques in Rapidly Distorted Compressible Turbulent Boundary Layers. The application of LDA (specifically, the dual-beam, burst-counter approach) to compressible flows is discussed. Subjects treated include signal processing, particle light scattering and tracking, data reduction and sampling bias, and three-dimensional measurements

Developing the Welfare-to-Work Participation and Employability Appraisal Screening: A Retrospective Study

CalWORKs recipients, unless exempt, are required to participate in welfare-to-work (WTW) program activities as a condition of receiving cash aid. A number of clients, however, may have issues that impede successful engagement in WTW program activities, such as substance abuse, mental health concerns, or domestic violence issues. The Riverside County (California) Department of Mental Health (RCDMH) and the Department of Public Social Services (DPSS) sought to develop a structured case management system to help ensure early identification of WTW customers with barriers to employment and, if necessary, to help facilitate quicker engagement in services to address those barriers and move customers into successful employment. A key component of the structured case management system is an actuarial appraisal screening to help identify those customers most in need of support to make a successful transition to self-sufficiency. This report describes the study conducted by Childrenas Research Center (CRC) to develop an appraisal screening that classifies customers by the likelihood of subsequent WTW program participation and employment. Employment counselors can complete the screening assessment soon after WTW assignment to help identify which customers are in greatest need of additional support and engagement to increase the likelihood of successful program participation

Developing an Actuarial Risk Assessment to Inform the Decisions Made by Adult Protective Service Workers

In 2008, the New Hampshire Department of Health and Human Services Bureau of Elderly and Adult Services (BEAS) and the National Council on Crime and Delinquency (NCCD), with funding provided by the National Institute of Justice (NIJ), collaborated to construct an actuarial risk assessment to classify BEAS clients by their likelihood of elder maltreatment and/or self-neglect in the future. Studies in adult and juvenile corrections and child welfare have demonstrated that active service intervention with high risk clients can reduce criminal recidivism and the recurrence of child maltreatment (Wagner, Hull, & Luttrell, 1995; Eisenberg & Markley, 1987; Baird, Heinz, & Bemus, 1981). The purpose of this research was to examine a large set of individual and referral characteristics, determine their relationship to subsequent elder self-neglect and/or maltreatment, and develop an actuarial risk assessment for BEAS workers to complete at the end of an investigation to inform their case decisions.BEAS and NCCD pursued development of an actuarial risk assessment with the goal of reducing subsequent maltreatment of elderly and vulnerable adults who have been involved in an incident of self-neglect or maltreatment by another person (i.e., abuse, exploitation, or neglect). The actuarial risk assessment described in this report provides BEAS workers with a method to more accurately identify high risk clients and therefore more effectively target service interventions in an effort to protect their most vulnerable clients

Managed Haying and Grazing of CRP

Agricultural and Food Policy,

The Relationship of the Self-Concept and the Reflected Ideal Self to Various Components of Friendship

This investigation was designed to examine some of the rela tionships between self-concepts, evaluations by others, and friendship. It was hypothesized that a person who is seen by a second person similarly to the way the first person would like to see himself will be more likely to form friendships with the second person, and more likely to see him as ego supportive than when such similarity does not exist. It was also predicted that people who see themselves as being quite different from the way they would like to be (unfavorable self-concepts) will be more likely to be involved in relationships characterized by strain and discord than will people who see themselves as being similar to the way they would like to be (favorable self-concepts). The subjects reported for the experiment in same-sex pairs who were acquainted. Each partner completed the IAV which measures the subject*s real and ideal selves, and was modified in this exper iment to measure also the concepts of their partners. They also described their partners in terras of the ADF. The subjects wore divided into high and low groups on t\ The first hypothesis was supported with respect to VID, but not with respect to ESV. That is, the low reflected ideal discrepancy subjects assigned significantly higher VID, but not ESV, scores to their partners than did the high reflected ideal discrepancy subjects. All results for the second hypothesis xvere negative. No significant relationships were found between the size of a subject\u27s self-concept discrepancy; and the DTM assigned to his partner, the DTM he was assigned by his partner, or the DTM he assigned his partner plus the DTM his partner assigned to him