Twenty-first century ownership: individual and community stakes

Community development

The j-invariant of a plane tropical cubic

Several results in tropical geometry have related the j-invariant of an algebraic plane curve of genus one to the cycle length of a tropical curve of genus one. In this paper, we prove that for a plane cubic over the field of Puiseux series the negative of the generic valuation of the $j$-invariant is equal to the cycle length of the tropicalization of the curve, if there is a cycle at all.Comment: The proofs rely partly on computations done with polymake, topcom and Singula

An algorithm for lifting points in a tropical variety

The aim of this paper is to give a constructive proof of one of the basic theorems of tropical geometry: given a point on a tropical variety (defined using initial ideals), there exists a Puiseux-valued ``lift'' of this point in the algebraic variety. This theorem is so fundamental because it justifies why a tropical variety (defined combinatorially using initial ideals) carries information about algebraic varieties: it is the image of an algebraic variety over the Puiseux series under the valuation map. We have implemented the ``lifting algorithm'' using Singular and Gfan if the base field are the rational numbers. As a byproduct we get an algorithm to compute the Puiseux expansion of a space curve singularity in (K^{n+1},0).Comment: 33 page

A randomised controlled trial of long-chain omega-3 polyunsaturated fatty acids in the management of rotator cuff related shoulder pain

Study design Multicentre, double-blind, placebo-controlled randomised clinical trial. Objectives To compare the effectiveness of long chain omega-3 polyunsaturated fatty acids (PUFAs) as part of the management for people diagnosed with rotator cuff related shoulder pain (RCRSP). Summary of background Although there is no robust evidence to support their use, omega-3 PUFAs have been recommended for those with tendinopathy due to their potential to moderate inflammation. Methods Participants with RCRSP (n=73) were randomised to take either nine MaxEPA capsules providing 1.53 g eicosapentaenoic acid, 1.04 g docosahexaenoic acid or nine matching placebo capsules containing oleic acid per day for 8 weeks. In addition, participants attended an exercise/education programme for 8 weeks. Participants were assessed at prerandomisation, 8 weeks (primary outcome point), 3 months, 6 months and 12 months (secondary outcome point). Primary outcome was the Oxford Shoulder Score (OSS). Secondary outcomes included the Shoulder Pain and Disability Index (SPADI), Patient Specific Functional Score, Euro Qol 5D-3L, Short Form 36, global rating of change and impairment measurements. Analysis was by intention to treat. Results Difference in the change in the OSS between the two groups at 2 months was –0.1 (95% CI −2.6 to 2.5, p=0.95). The change in SPADI scores was −8.3 (95% CI −15.6 to −0.94, p=0.03, analysed by analysis of covariance adjusted for baseline) at 3 months. Conclusion Omega-3 PUFA supplementation may have a modest effect on disability and pain outcomes in RCRSP.Peer reviewedFinal Published versio

Subprime and predatory lending in rural America: mortgage lending practices that can trap low-income rural people

This brief examines predatory mortgage loans and the harmful impact they have on rural homeowners and their communities. The report finds that minorities and low-income people are more likely to fall victim to higher-cost loans. The brief includes recommendations for policy changes at the state and federal levels, as well as advice on identifying and avoiding predatory loans

Urban and regional planning proposal no. Y-10-066-001

There are no author-identified significant results in this report. A program has been completed to print out the radiance values for any specified combination of the four MSS bands for a specified sector of an image. A program to map intensities for any band is being written. An investigation of the characteristics of cities in the Brevard County area, as seen by ERTS-1, has been started. Investigation has not been completed, however, results initially obtained are presented. A Digicol viewer was used to determine the relative reflectance of cities (and other developed sectors) in the area. This was done by a combination of two methods: (1) varying the offset control so that the brightest spot appeared first, followed by the second brightest spot; and (2) reading the relative light transmissions at selected positions. A band 5 image was used and the results, in order of maximum reflectance apparent within the sector, are given

Stem Cell Research and Same Sex Reproduction

Recent advances in stem cell research suggest that in the future it may be possible to create eggs and sperm from human stem cells through a process that we term in vitro gametogenesis (IVG). IVG would allow treatment of some currently untreatable forms of infertility. It may also allow same-sex couples to have genetically-related children. For example, cells taken from one man could potentially be used to create an egg, which could then be fertilised using naturally produced sperm from another man to create a genetically-related child with half of its DNA from each of the men. In this chapter, we consider whether this technology could justifiably be denied to same-sex couples if it were made available as a fertility treatment to different-sex couples. We argue that it could not

Hard Choices: Navigating the Economic Shock of Unemployment

During the Great Recession of 2007 to 2009, millions of Americans faced severe economic hardship, forcing difficult decisions about how to stabilize their families' financial well-being and prevent downward economic mobility. Americans with savings were forced to weigh immediate needs against long-term investments, choosing whether to deplete personal assets in order to stay afloat. Those without wealth to fall back on were in an even more precarious position, leading them to turn to family assistance, debt, and other public and private supports when available.This study examines how families weather economic shocks through a close focus on one particular event -- the experience of unemployment, with specific attention to differences by race and family income. The analysis used a nationally representative sample of working-age families from the Panel Study of Income Dynamics or PSID, following the same households from 1999 to 2009. To provide greater insight into the challenges and choices families faced, the report also drew on a unique longitudinal data set of in-depth interviews with 51 families that endured one month or more of unemployment between 1998 and 2012

Nature\u27s effect on mental health

The United States has an overwhelming number of people suffering from mental illness, especially anxiety and depression. These disorders can be debilitating in many areas of the person’s life. Not even half of those diagnosed with these conditions are treated effectively and costs are expected to rise significantly in the coming years. One population that is often overlooked that suffers from these conditions is health professionals themselves. Physicians and nurses have high rates of depression and anxiety due to the stress from their occupation. In order for more patients and providers to be treated and for the health care system to save money, simple, inexpensive, and proactive interventions must be utiliized to prevent the development of these disorders. Nature-assisted therapy, which involves working with plants and natural areas as a form of rehabilitation, has been shown to have positive emotional, cognitive, and physical outcomes. Based on information from numerous studies, current and future health professionals and the general public should utilize this as a resource for a non-pharmological treatment for mental disorders