Classification of Generalized Multiresolution Analyses

We discuss how generalized multiresolution analyses (GMRAs), both classical and those defined on abstract Hilbert spaces, can be classified by their multiplicity functions $m$ and matrix-valued filter functions $H$. Given a natural number valued function $m$ and a system of functions encoded in a matrix $H$ satisfying certain conditions, a construction procedure is described that produces an abstract GMRA with multiplicity function $m$ and filter system $H$. An equivalence relation on GMRAs is defined and described in terms of their associated pairs $(m,H)$. This classification system is applied to classical examples in $L^2 (\mathbb R^d)$ as well as to previously studied abstract examples.Comment: 18 pages including bibliograp

Drumming Up an Audience: When Spectacle Becomes Failure

Funding streams designed to enable wider participation with contemporary visual art often fail to meet their objectives. Faced with the need to show increased engagement in return for public funding, fear of failure has led many organisations to turn to what we describe as the ‘art-spectacle’: public artworks developed as a means of demonstrating public participation. What is the nature of the engagement when large crowds encounter an art-spectacle? When art-spectacles appropriate an existing cultural form and rebrand it as ‘art’, by what criteria can it be judged a success or failure? Our discussion centres on The History Train, an event that formed part of British Art Show 8 in Norwich in 2016. As it received funding to engage new audiences, we assess The History Train against the criteria by which the funding was awarded. We also look at the degree to which it met Debord’s (1983) logic of spectacle and the necessity of visibility over experience

Submergence and uplift associated with the giant 1833 Sumatran subduction earthquake: Evidence from coral microatolls

The giant Sumatran subduction earthquake of 1833 appears as a large emergence event in fossil coral microatolls on the reefs of Sumatra's outer-arc ridge. Stratigraphic analysis of these and living microatolls nearby allow us to estimate that 1833 emergence increased trenchward from about 1 to 2 m. This pattern and magnitude of uplift are consistent with about 13 m of slip on the subduction interface and suggest a magnitude (M_w) of 8.8–9.2 for the earthquake. The fossil microatolls also record rapid submergence in the decades prior to the earthquake, with rates increasing trenchward from 5 to 11 mm/yr. Living microatolls show similar rates and a similar pattern. The fossil microatolls also record at least two less extensive emergence events in the decades prior to 1833. These observations show that coral microatolls can be useful paleoseismic and paleogeodetic instruments in convergent tectonic environments

PreView: a Randomized Trial of a Multi-site Intervention in Diverse Primary Care to Increase Rates of Age-Appropriate Cancer Screening.

BackgroundWomen aged 50-70 should receive breast, cervical (until age 65), and colorectal cancer (CRC) screening; men aged 50-70 should receive CRC screening and should discuss prostate cancer screening (PSA). PreView, an interactive, individually tailored Video Doctor Plus Provider Alert Intervention, adresses all cancers for which average risk 50-70-year-old individuals are due for screening or screening discussion.MethodsWe conducted a randomized controlled trial in 6 clinical sites. Participants were randomized to PreView or a video about healthy lifestyle. Intervention group participants completed PreView before their appointment and their clinicians received a "Provider Alert." Primary outcomes were receipt of mammography, Pap tests (with or without HPV testing), CRC screening (FIT in last year or colonoscopy in last 10 years), and PSA screening discussion. Additional outcomes included breast, cervical, and CRC screening discussion.ResultsA total of 508 individuals participated, 257 in the control group and 251 in the intervention group. Screening rates were relatively high at baseline. Compared with baseline screening rates, there was no significant increase in mammography or Pap smear screening, and a nonsignificant increase (18% vs 12%) in CRC screening. Intervention participants reported a higher rate of PSA discussion than did control participants (58% vs 36%: P < 0.01). Similar increases were seen in discussions about mammography, cervical cancer, and CRC screening.ConclusionIn clinics with relatively high overall screening rates at baseline, PreView did not result in significant increases in breast, cervical, or CRC screening. PreView led to an increase in PSA screening discussion. Clinician-patient discussion of all cancer screenings significantly increased, suggesting that interventions like PreView may be most useful when discussion of the pros and cons of screening is recommended and/or with patients reluctant to undergo screening. Future research should investigate PreView's impact on those who are hesitant or reluctant to undergo screening.Trial registrationClinicalTrials.gov: NCT02264782