Unbounded regions of Infinitely Logconcave Sequences

We study the properties of a logconcavity operator on a symmetric, unimodal subset of finite sequences. In doing so we are able to prove that there is a large unbounded region in this subset that is $\infty$-logconcave. This problem was motivated by the conjecture of Moll and Boros in that the binomial coefficients are $\infty$-logconcave.Comment: 12 pages, final version incorporating referee's comments. Now published by the Electronic Journal of Combinatorics http://www.combinatorics.org/index.htm

Mound Systems for On-Site Wastewater Treatment Siting, Design, and Construction in Ohio

PDF pages: 2

Designing out the urban heat island effect

As the global population reaches an all time high and shows no sign of slowing, and the urban population outnumbers the rural population for the first time in human history, the social, economic and environmental issues faced by those living in urban centres become increasing relevant. The urban heat island effect is a phenomenon witnessed in cities worldwide which sees the ambient air temperatures in cities be significantly higher when compared to temperatures in the rural surroundings. A number of characteristics of cities contribute to the creation of an urban heat island: the removal of vegetation to construct buildings and road; the ability of materials such as concrete, asphalt, steel and brick to absorb, store and release heat; the energy used by a building’s services including heating, air conditioning and ventilation; vehicular movement through a city; and general lack of green spaces. Essentially, urban heat islands are caused by the land use change from natural environment to built environment

School uniform and other costs of schooling: views and experiences in Wales (technical report & final report)

"The overall aim of the research was... to explore the views of parents/carers and young people in Wales on the validity, usefulness and benefits of having school uniforms and their experiences and views on the cost and availability of buying uniforms, and to explore how the wider costs of schooling impacts on children, families and schools." - research aims & objectives

The Impact of Health Reform on Health System Spending

Examines the 2010 healthcare reform law's impact on national health expenditures, through new coverage, savings in public programs, insurance exchanges, and health system modernization; the federal budget; Medicare; and premiums for private coverage

Maximal almost disjoint families, determinacy, and forcing

We study the notion of $\mathcal J$-MAD families where $\mathcal J$ is a Borel ideal on $\omega$. We show that if $\mathcal J$ is an arbitrary $F_\sigma$ ideal, or is any finite or countably iterated Fubini product of $F_\sigma$ ideals, then there are no analytic infinite $\mathcal J$-MAD families, and assuming Projective Determinacy there are no infinite projective $\mathcal J$-MAD families; and under the full Axiom of Determinacy + $V=\mathbf{L}(\mathbb{R})$ there are no infinite $\mathcal J$-mad families. These results apply in particular when $\mathcal J$ is the ideal of finite sets $\mathrm{Fin}$, which corresponds to the classical notion of MAD families. The proofs combine ideas from invariant descriptive set theory and forcing.Comment: 40 page