The Tits alternative for non-spherical triangles of groups

Triangles of groups have been introduced by Gersten and Stallings. They are, roughly speaking, a generalisation of the amalgamated free product of two groups and occur in the framework of Corson diagrams. First, we prove an intersection theorem for Corson diagrams. Then, we focus on triangles of groups. It has been shown by Howie and Kopteva that the colimit of a hyperbolic triangle of groups contains a non-abelian free subgroup. We give two natural conditions, each of which ensures that the colimit of a non-spherical triangle of groups either contains a non-abelian free subgroup or is virtually solvable.Comment: 45 pages, 21 figures, v2: minor revision (correction of typos, new font within figures, ...

College students ethical perceptions on buying counterfeit products

The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file.Title from title screen of research.pdf file (viewed on August 12, 2009)Thesis (M.S.) University of Missouri-Columbia 2008.This study was designed to investigate the ethical purchasing behavior of college students with regards to purchasing counterfeit merchandise. Students from several different majors were surveyed and compared. TAM majors and non-TAM majors were surveyed to determine if TAM majors who had been sensitized to the issue of counterfeiting would be less likely to purchase counterfeit goods than students from non-TAM majors. T-test results indicated significant differences between buyers of counterfeit goods and non-buyers on eleven of the twelve attitudinal questions asked. Consumers who have previously purchased counterfeit goods hold attitudes more supportive than consumers who have not. These consumers feel that purchasing a counterfeit product is just as good as purchasing the real brand and by doing so they are not hurting the U.S. Economy. These results do support hypothesis one of the research. In testing hypothesis 2, the results indicated that there was not a significant difference between students who had, or had not, discussed counterfeiting in their classes and the purchase of counterfeit goods. There were also no significant differences with respect to TAM verses non-TAM majors. Hypothesis 2 was not supported by the data.Includes bibliographical reference

Experimental determination of the thickness of the boundary layer along a wing section

The thickness and course of the boundary layer were measured in flight, in order to determine whether the relations on an airplane and on a shop-made wing can be brought into agreement with the results of wind-tunnel tests and Horst Muller's calculations of the thickness of the boundary layer, as developed from Karman's integral equation for the boundary layer

Large-scale assessment of mobile crowdsensed data: a case study

Mobile crowdsensing (MCS) is a well-established paradigm that leverages mobile devices’ ubiquitous nature and processing capabilities for large-scale data collection to monitor phenomena of common interest. Crowd-powered data collection is significantly faster and more cost-effective than traditional methods. However, it poses challenges in assessing the accuracy and extracting information from large volumes of user-generated data. SmartRoadSense (SRS) is an MCS technology that utilises sensors embedded in mobile phones to monitor the quality of road surfaces by computing a crowdsensed road roughness index (referred to as PPE). The present work performs statistical modelling of PPE to analyse its distribution across the road network and elucidate how it can be efficiently analysed and interpreted. Joint statistical analysis of open datasets is then carried out to investigate the effect of both internal and external road features on PPE . Several road properties affecting PPE as predicted are identified, providing evidence that SRS can be effectively applied to assess road quality conditions. Finally, the effect of road category and the speed limit on the mean and standard deviation of PPE is evaluated, incorporating previous results on the relationship between vehicle speed and PPE . These results enable more effective and confident use of the SRS platform and its data to help inform road construction and renovation decisions, especially where a lack of resources limits the use of conventional approaches. The work also exemplifies how crowdsensing technologies can benefit from open data integration and highlights the importance of making coherent, comprehensive, and well-structured open datasets available to the public

The Cartesian product of graphs with loops

We extend the definition of the Cartesian product to graphs with loops and show that the Sabidussi-Vizing unique factorization theorem for connected finite simple graphs still holds in this context for all connected finite graphs with at least one unlooped vertex. We also prove that this factorization can be computed in O(m) time, where m is the number of edges of the given graph.Comment: 8 pages, 1 figur

3D free-form modeling with variational surfaces

We describe a free-form stroke-based modeling system where objects are primarily represented by means of variational surfaces. Although similar systems have been described in recent years, our approach achieves both a good performance and reduced surface leak problems by employing a coarse mesh as support for constraint points. The prototype implements an adequate set of modeling operations, “undo” and “redo” facilities and a clean interface capable of resolving ambiguities by means of suggestion thumbnails