Trivializations of differential cocycles

Associated to a differential character is an integral cohomology class, referred to as the characteristic class, and a closed differential form, referred to as the curvature. The characteristic class and curvature are equal in de Rham cohomology, and this is encoded in a commutative square. In the Hopkins--Singer model, where differential characters are equivalence classes of differential cocycles, there is a natural notion of trivializing a differential cocycle. In this paper, we extend the notion of characteristic class, curvature, and de Rham class to trivializations of differential cocycles. These structures fit into a commutative square, and this square is a torsor for the commutative square associated to characters with degree one less. Under the correspondence between degree 2 differential cocycles and principal circle bundles with connection, we recover familiar structures associated to global sections.Comment: 20 pages; several minor corrections/revisions in v

Taking creative license: It's not an easy thing meeting your maker

Creators do not just 'create' or 'act' -- they are privileged agents, points of origin, sources of innovation and transformation. Within religious systems, creators can exist in an extra-discursive real beyond nature and culture, functioning as the origin of the word and being. They can be supernatural, existing outside nature to influence earthly events via strange powers. They can also be 'supra' natural -- above nature -- capable of acts that both break and establish laws to which the created are subject. Yet, these types of creators only seem to exist through the cultural economies which allow their representation. Their roles and personas can differ with the production, combination and utilisation of selected characterisations: in other words, creators are created

The Effects of Different Warm-up Strategies in Olympic Weightlifting

This study investigated the effects of two types of warm up routines utilizing the clean pull movement on maximal ground reaction force and barbell velocity during the second pull phase of the full clean movement. Five male and female national caliber weightlifters randomly completed a control condition (C) or one of two treatment conditions (T1, T2) in a crossover design. The control condition served to establish baseline data against which the kinematic and kinetic parameters of the two treatment conditions were compared. A repeated measures ANOVA was used to compare means between conditions. No significant differences were found between C, T1 and T2. These findings suggest that both warm up routines are equally effective at preparing the lifter for the subsequent attempt. However, the lower volume of work performed in TI may result in less accumulated fatigue over the course of a weightlifting meet and could theoretically contribute to better performance toward the end of the competition

Powder metallurgy Rene 95 rotating turbine engine parts, volume 2

A Rene 95 alloy as-HIP high pressure turbine aft shaft in the CF6-50 engine and a HIP plus forged Rene 95 compressor disk in the CFM56 engine were tested. The CF6-50 engine test was conducted for 1000 C cycles and the CFM56 test for 2000 C cycles. Post test evaluation and analysis of the CF6-50 shaft and the CFM56 compressor disk included visual, fluorescent penetrant, and dimensional inspections. No defects or otherwise discrepant conditions were found. These parts were judged to have performed satisfactorily