Purity of the Ideal of Continuous Functions with Compact Support

&#60;P&#62;Let C(X) be the ring of all continuous real valued functions defined on a completely regular T1-space. Let CK(X) be the ideal of functions with compact support. Purity of CK(X) is studied and characterized through the subspace XL, the set of all points in X with compact neighborhoods (nbhd). It is proved that CK(X) is pure if and only if XL=&#8746;f&#8712;CK supp f. if CK(X) and CK(Y) are pure ideals, then CK(X) is isomorphic to CK(Y) if and only if XL is homeomorphic to YL. It is proved that CK(X) is pure and XL is basically disconnected if and only if for every f &#8712;CK(X), the ideal (f ) is a projective C(X)-module. Finally it is proved that if CK(X) is pure, then XL is an F'-space if and only if every principal ideal of CK(X) is a flat C(X)-module. Concrete examples exemplifying the concepts studied are given.</p

Associations between family weight-based teasing, eating pathology, and psychosocial functioning among adolescent military dependents

Weight-based teasing (WBT) by family members is commonly reported among youth and is associated with eating and mood-related psychopathology. Military dependents may be particularly vulnerable to family WBT and its sequelae due to factors associated with their parents\u27 careers, such as weight and fitness standards and an emphasis on maintaining one\u27s military appearance; however, no studies to date have examined family WBT and its associations within this population. Therefore, adolescent military dependents at-risk for adult obesity and binge-eating disorder were studied prior to entry in a weight gain prevention trial. Youth completed items from the Weight-Based Victimization Scale (to assess WBT by parents and/or siblings) and measures of psychosocial functioning, including the Beck Depression Inventory-II, The Rosenberg Self-Esteem Scale, and the Social Adjustment Scale. Eating pathology was assessed via the Eating Disorder Examination interview, and height and fasting weight were measured to calculate BM

RV Knorr Cruise KN200-4, 13 Apr-03 May 2011. RAPID Mooring Cruise

This report describes the mooring operations conducted during RV Knorr cruise KN200-4 between 13 April and 3 May 2011. These mooring operations were completed as part of the United Kingdom Natural Environment Research Council (NERC) funded RAPID-WATCH Programme to monitor the Atlantic Meridional Overturning Circulation (MOC) at 26.5°N. The primary purpose on this cruise for the UK team was to service the RAPID Western Boundary moorings while the US teams worked on the Western Boundary Time Series project and the RAPID-MOCHA Western Boundary moorings. Cruise KN200-4 was from Port Everglades, Florida to Port Everglades, Florida and covered the Western Boundary moorings deployed on RB0901 and OC459. This cruise was the ninth annual refurbishment of the Western Boundary section of an array of moorings deployed across the Atlantic in order to continuously observe the MOC. This array will be further refined and refurbished during subsequent years. The instruments deployed on the array consist of a variety of current meters, bottom pressure recorders, and CTD loggers, which, combined with time series measurements of the Florida Straits Current and wind stress estimates, will be used to determine the strength and structure of the MOC at 26.5°N. (http://www.noc.soton.ac.uk/rapid

Robustness of complex networks to node and cluster damage

Copyright @ 2009 Universtiy of WarwickThe goal of this investigation is to assess the robustness of two popular network structures – random networks and scale-free networks – to node and cluster damage. There is no previous work on the latter. For node damage, we remove nodes iteratively and for cluster damage, we first build a network of clusters and then remove the nodes (clusters)

MINNESOTA SHIPPERS AND STATE TRUCK SIZE/WEIGHT REGULATIONS: A REPORT SUBMITTED TO THE MINNESOTA DEPARTMENT OF TRANSPORTATION

Motor carriers face a number of regulations in carrying on their business. Trucks are typically regulated as to their length, width, height, load (in terms of gross vehicle weight), and axle weight. The purpose of these regulations is to promote public safety and protect the quality of road surfaces. Highway regulations affecting motor carriers are primarily a state-level responsibility in the United States. Minnesota has its own set of truck size and weight regulations as do neighboring states and Canadian provinces. Because states set their own regulations on truck size and weight, the commercial trucking industry measures the appropriateness of Minnesota regulations to a large extent based on their congruence with those in adjacent states. The object of this study is to determine the extent to which major shippers, the clients of commercial motor carriers, feel constrained by truck size and weight regulations in Minnesota and whether their needs are being met.Public Economics,