A brief introduction to nomography: graphical representation of mathematical relationships

© 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group. Nomographs (or nomograms, or alignment charts) are graphical representations of mathematical relationships (extending to empirical relationships of data) which are used by simply applying a straightedge across the plot through points on scales representing independent variables, which then crosses the corresponding datum point for the dependent variable; the choice among independent and dependent variable is arbitrary so that each variable may be determined in terms of the others. Examples of nomographs in common current use compute the lift available for a hot-air balloon, the boiling points of solvents under reduced pressure in the chemistry laboratory, and the relative forces in a centrifuge in a biochemical laboratory. Sundials represent another ancient yet widely familiar example. With the advent and ready accessibility of the computer, printed mathematical tables, slide rules and nomographs became generally redundant. However, nomographs provide insight into mathematical relationships, are useful for rapid and repeated application, even in the absence of calculational facilities, and can reliably be used in the field. Many nomographs for various purposes may be found online. This paper describes the origins and development of nomographs, illustrating their use with some relevant examples. A supplementary interactive Excel file demonstrates their application for some simple mathematical operations

A preliminary analysis of the InfiniPath and XD1 network interfaces

Two recently delivered systems have begun a new trend in cluster interconnects. Both the InfiniPath network from PathScale, Inc., and the RapidArray fabric in the XD1 system from Cray, Inc., leverage commodity network fabrics while customizing the network interface in an attempt to add value specifically for the high performance computing (HPC) cluster market. Both network interfaces are compatible with standard InfiniBand (IB) switches, but neither use the traditional programming interfaces to support MPI. Another fundamental difference between these networks and other modern network adapters is that much of the processing needed for the network protocol stack is performed on the host processor(s) rather than by the network interface itself. This approach stands in stark contrast to the current direction of most high-performance networking activities, which is to offload as much protocol processing as possible to the network interface. In this paper, we provide an initial performance comparison of the two partially custom networks (PathScale’s InfiniPath and Cray’s XD1) with a more commodity network (standard IB) and a more custom network (Quadrics Elan4). Our evaluation includes several micro-benchmark results as well as some initial application performance data. 1

Aggressive behavior in abused children

Our objective was to investigate the relationship between a lifetime history of traumatic stress, defined as physical and/or sexual abuse and aggression and psychosocial functioning in a sample of clinically referred and nonclinically referred children and adolescents. This is a retrospective case comparison study. Three groups of children were identified, assessed, matched for age, and partially matched for gender. Children clinically referred to residential treatment with a history of abuse (N = 29) were compared with children clinically referred to residential treatment without a history of abuse (N = 29), and a nonclinical group of children residing in the community (N = 29). Variables investigating specific types of aggression, IQ, and psychopathology were assessed across the three groups. Clinically referred children scored worse on all measures compared with nonclinical community children. Clinically referred abused children scored higher on measures of aggression and significantly higher on measures of reactive aggression and verbal aggression than clinically referred nonabused children. Clinically referred abused children had significantly lower verbal IQ scores than clinically referred nonabused children, but no difference in psychopathology. Results support the importance of assessing specific types of aggression in samples of traumatized youths. Verbal information processing may be especially vulnerable in abused children and adolescents and enhance vulnerability to aggressive responding

Characteristics of Children and Adolescents Admitted to a Residential Treatment Center

Studies of youths in residential treatment that utilize systematic assessments and validated measures are rare. We examined psychopathology, family characteristics, occurrence of physical or sexual abuse, types of aggressive behavior, hyperactive/impulsive behavior, medical and neurological problems, and self-reported drug and alcohol use in 397 youth who were assessed using reliable measures and consecutively treated in a residential treatment center. Results indicate high rates of internalizing and externalizing psychopathology, aggressive behavior, and consistent gender differences, with girls having higher levels of internalizing and externalizing psychopathology and aggressive behavior. The sample was characterized by high rates of medical problems including asthma, seizures, and obesity, as well as evidence of extensive family dysfunction, including high rates of parental alcohol use, violence, and physical or sexual abuse. Residential treatment needs to progress beyond the one size fits all approach and develop more specific and empirically proven treatments for the specific needs of this population

The associations between structural treatment characteristics and post-treatment functioning in compulsory residential youth care

Contains fulltext : 102944.pdf (publisher's version ) (Open Access)In 2005 a new compulsory residential treatment program was developed for adolescents in need for protection against themselves or their environment. The aim of the present study was to examine the association of structural treatment characteristics of this new residential treatment program (i.e., duration of treatment, discharge status, and group composition in terms of sex) with post-treatment functioning. Additionally, the number of pre-treatment risk factors was included in the model. A total of 301 adolescents (174 boys, 127 girls), with a mean age at time of admittance of 15.50 (SD = 1.26) participated in this study. The number of risk factors was derived from treatment files of the adolescents at time of entrance. Six months after discharge, adolescents participated in a telephone interview to measure ten post-treatment variables indicating how well they were doing. The results showed that duration of treatment was related to post-treatment living situation, in that adolescents who were in treatment for shorter durations were more likely to live on their own after treatment. For discharge status, findings suggested that adolescents who were regularly discharged had more frequent contact with their family; however, they also showed higher alcohol consumption 6 months after treatment. Group composition was related to the girls' official offending, indicating that girls placed in mixed-sex groups showed significantly fewer official police contacts than did girls in girls-only treatment groups. Overall, structural treatment characteristics were hardly related to the adolescents' functioning after treatment. Suggestions for future research are discussed.20 p