Pointwise convergence of vector-valued Fourier series

We prove a vector-valued version of Carleson's theorem: Let Y=[X,H]_t be a complex interpolation space between a UMD space X and a Hilbert space H. For p\in(1,\infty) and f\in L^p(T;Y), the partial sums of the Fourier series of f converge to f pointwise almost everywhere. Apparently, all known examples of UMD spaces are of this intermediate form Y=[X,H]_t. In particular, we answer affirmatively a question of Rubio de Francia on the pointwise convergence of Fourier series of Schatten class valued functions.Comment: 26 page

The Vector Valued Quartile Operator

Certain vector-valued inequalities are shown to hold for a Walsh analog of the bilinear Hilbert transform. These extensions are phrased in terms of a recent notion of quartile type of a UMD (Unconditional Martingale Differences) Banach space X. Every known UMD Banach space has finite quartile type, and it was recently shown that the Walsh analog of Carleson's Theorem holds under a closely related assumption of finite tile type. For a Walsh model of the bilinear Hilbert transform however, the quartile type should be sufficiently close to that of a Hilbert space for our results to hold. A full set of inequalities is quantified in terms of quartile type.Comment: 32 pages, 5 figures, incorporates referee's report, to appear in Collect. Mat

Infusible silazane polymer and process for producing same

Coatings of high thermal and chemical stability for application to metal, glass, ceramics, and other surfaces are formed by reacting diphenyldichlorosilane in the presence of triethylamine with a nitrogen base selected from the group consisting of ammonia and methylamine. The pl polymeric, noncrystalline reaction product is heated in a reaction zone open to the atmosphere at a temperature ranging from approximately 250 C to 450 C until the infusible polymer is formed

The Emergence of Boko Haram: an Analysis of Terrorist Characteristics

Boko Haram (BH) is a Nigerian extremist group which emerged only in the last decade, but has rapidly established a reputation for violence. This paper reviews the development and behaviour of BH in recent years, concluding that the group’s activities meet the definition of terrorism as systematic use of fear-evoking violence against civilians to achieve political goals. This characterisation is justified in terms of four definitional elements of terrorism, and further supported by comparison of BH with contemporary terrorist groups such as Abu Sayyaf Group and Caucasus Emirate, which espouse an ostensibly similar ideology. BH should not be mistaken for a gang of criminals, freedom fighters or religious fanatics. The group is capable, driven, and should be understood as a modern terrorist organization

PCSK9 Inhibitors: A Review of the Efficacy, Safety and Current Literature Recommendations

Atherosclerotic cardiovascular disease is the leading cause of morbidity and mortality in developed counties. It is estimated that 60 million Americans have LDL-C levels \u3e 160 mg/dl. Only about 1/3 of these patients meet treated LDL cholesterol goals of \u3c 70 mg/dl indicating a need for greater control. High dose statins have been the mainstay in treatment of dyslipidemia, however, up to 20% of patients are statin intolerant indicating a need for secondary treatment strategies. This lead to the development of monoclonal antibodies to proprotein convertase subtilisin/kexin type 9 (PCSK9) inhibitors. PCSK9 inhibitors result in decreased destruction of the low-density lipoprotein receptor (LDL-R) which leads to an increase in the transport of LDL-C to its destruction effectively reducing LDL-C levels in the blood. The purpose of this study is to analyze the literature available on the efficacy and safety of new PCSK9 inhibitors. The results of this literature review indicated that PCSK9 inhibitors effectively lowered LDL-C by an average of approximately 50%. The evidence reviewed by this analysis indicate that 70% of patients treated with PCSK9 inhibitors met LDL-C goals. The findings also indicate that the side effects associated with this new class of medications are comparable to current side effects seen with traditional cholesterol lowering agents. The largest side effect seen in up to 10% of patients were injection site reactions and did not require discontinuation of the medication. The results of this analysis indicate that PCSK9 inhibitors may be of benefit in patients who are statin intolerant, do not meet LDL-C goals on traditional statin therapy or have familial hypercholesterolemia. Education in use of injectables, cost and insurance coverage and dosing schedule are likely to be areas of continued research and may affect use of this new class of cholesterol lowering agents.https://commons.und.edu/pas-grad-posters/1074/thumbnail.jp

The application of local and traditional knowledge for disaster mitigation in flood-prone areas of rural Thailand

Master's Project (M.A.) University of Alaska Fairbanks, 2016This project focuses around the development of a workshop on disaster preparedness and response for a village in rural Thailand. The workshop goals were concentrated around the investigation of solutions to alleviate or lessen the vulnerability of the village toward reoccurring flood events. The objectives were completed through inclusion of stakeholders and outside experts and focused on bringing a conversation to community leaders in regard to their implementation of pre- and post-disaster strategies. The primary audience for this research project is those working within rural communities that are prone to annual or frequent natural disasters. The tools and knowledge gained herein will be able to provide individual and community response and preparedness strategies to improve resiliency and decrease vulnerability

Public Safety Agencies and UAV Technology: A Review of Uses

This study utilizes a systematic review of some of the scholarly literature available on drone usage within Southern California, specifically in Los Angeles and Chula Vista. I ask: how do public safety agencies use drone technology? The review will cover cases from existing scholarly literature, as well as policy reports and books from the Google Scholar database. A systematic review was the best methodology to begin fully investigating my research question, since the scope could have been so large that individual data points would have been difficult to find and instead requires a macro-level review. This data will provide a foundation to function as a pre-study for scholars to use in future research and case studies. I chose this method since most academia has tended to examine the usage of UAV technology abroad or at the border, but the expansion of domestic drone usage by public safety agencies hundreds of miles from any border necessitates an understanding of their role in domestic policing. Using the approach described above, I will develop original data using the process of thematic coding to respond to the identified question to understand the real usage of drones and UAV systems in California

The Cosmological Constant in the Quantum Multiverse

Recently, a new framework for describing the multiverse has been proposed which is based on the principles of quantum mechanics. The framework allows for well-defined predictions, both regarding global properties of the universe and outcomes of particular experiments, according to a single probability formula. This provides complete unification of the eternally inflating multiverse and many worlds in quantum mechanics. In this paper we elucidate how cosmological parameters can be calculated in this framework, and study the probability distribution for the value of the cosmological constant. We consider both positive and negative values, and find that the observed value is consistent with the calculated distribution at an order of magnitude level. In particular, in contrast to the case of earlier measure proposals, our framework prefers a positive cosmological constant over a negative one. These results depend only moderately on how we model galaxy formation and life evolution therein.Comment: 18 pages, 4 figures; matches the version published in Phys. Rev.