Families of spectral sets for Bernoulli convolutions

In this paper, we study the harmonic analysis of Bernoulli measures. We show a variety of orthonormal Fourier bases for the L^2 Hilbert spaces corresponding to certain Bernoulli measures, making use of contractive transfer operators. For other cases, we exhibit maximal Fourier families that are not orthonormal bases.Comment: 25 pages, same result

Additive spectra of the 1/4 Cantor measure

In this paper, we add to the characterization of the Fourier spectra for Bernoulli convolution measures. These measures are supported on Cantor subsets of the line. We prove that performing an odd additive translation to half the canonical spectrum for the 1/4 Cantor measure always yields an alternate spectrum. We call this set an additive spectrum. The proof works by connecting the additive set to a spectrum formed by odd multiplicative scaling.Comment: 9 pages, 1 figur

Preventing Childhood Obesity and Its Long-term Effects

Childhood obesity affects nearly one in every five children and adolescents in the U.S. This epidemic has led to the development of chronic illnesses in adulthood, such as metabolic disorders, cardiovascular disease, sleep apnea, osteoarthritis, and asthma. This literature review examined intervention programs and their effectiveness in reducing childhood obesity. The application of health behavior theories and their impact on altering children\u27s behavior was also explored. This paper presents an analysis that describes the success of multiple childhood obesity intervention programs in addition to effective prevention strategies. The findings associated the effectiveness of programs with the socioeconomic status of children, and suggested more substantial state or regional policies to increase physical activity in schools. The most successful childhood obesity intervention programs were implemented using close relationships, community resources, and a holistic approach

Is Leaving Work to Obtain Safety Good Cause to Leave Employment?—Providing Unemployment Insurance to Victims of Domestic Violence in Washington State

This paper focuses on the unemployment compensation statutes, administrative law decisions, and the case law of Washington state and proposes that domestic violence creates involuntary unemployment and should, therefore, be considered a compelling good cause situation for provision of unemployment compensation benefits. Title 50 of the Revised Code of Washington, which provides the structure and provisions of unemployment compensation eligibility, should be liberally construed by agency officials and courts or amended so as to provide unemployment compensation benefits to victims of domestic violence who leave work to obtain safety

Scaling by 5 on a 1/4-Cantor Measure

Each Cantor measure (\mu) with scaling factor 1/(2n) has at least one associated orthonormal basis of exponential functions (ONB) for L^2(\mu). In the particular case where the scaling constant for the Cantor measure is 1/4 and two specific ONBs are selected for L^2(\mu), there is a unitary operator U defined by mapping one ONB to the other. This paper focuses on the case in which one ONB (\Gamma) is the original Jorgensen-Pedersen ONB for the Cantor measure (\mu) and the other ONB is is 5\Gamma. The main theorem of the paper states that the corresponding operator U is ergodic in the sense that only the constant functions are fixed by U.Comment: 34 page

Wendell Berry and Religion: Heaven\u27s Earthly Life

Farmer, poet, essayist, and environmental writer Wendell Berry is acclaimed for his ideas regarding the values inherent in an agricultural society. Place, community, good work, and simple pleasures are but a few of the values that form the bedrock of Berry’s thought. While the notion of reverence is central to Berry, he is not widely known as a religious writer. However, the moral underpinnings of his work are rooted in Christian tradition, articulating the tenet that faith and stewardship of the land are not mutually exclusive. In Wendell Berry and Religion, editors Joel J. Shuman and L. Roger Owens probe the moral and spiritual implications of Berry’s work. Chief among them are the notions that the earth is God’s provisional gift to mankind and that studying how we engage material creation reflects important truths. This collection reveals deep, thoughtful, and provocative conversations within Berry’s writings, illuminating the theological inspirations inherent in his work. Joel J. Shuman, associate professor and chair of the department of theology at King’s College, is the author of several books. L. Roger Owens earned his Ph.D. in theology and ethics from Duke University and is copastor at Duke Memorial United Methodist Church. Shuman presents articles based on how the work of author Wendell Berry can be interpreted in to the context of living a true Christian life. “Wendell Berry is our most important writer at work in this country. . . . [Wendell Berry and Religion] will help people see the roots of his work, beyond the idea that he is ‘writing about farming.’” -- Bill McKibben, author of The End of Nature “It may surprise some of Wendell Berry’s many followers that his views have been greatly influenced by his Christian faith, and it may surprise some Christians that their communities and their theology very much need to be influenced by Berry’s kind of Christianity. These are the insights we owe to the contributors of this important book. -- Albert Borgmann, author of Real American Ethics Editors Joel J. Shuman and L. Roger Owens examine the theological themes found throughout Berry’s work and seek to expose those Christian principles while at the same time critiquing them. -- kydirect.net This is a remarkable collection for reference and reflection. --Mary Popham, The Courier Journal Presents the sophisticated, yet accessible writing of clear thinking, principled individuals who care deeply about their faith and the places and communities in which they live. --Christianity and Literaturehttps://uknowledge.uky.edu/upk_theology/1001/thumbnail.jp

The weight-inclusive vs. weight-normative approach to health: Evaluating the evidence for prioritizing well-being over weight

Using an ethical lens, this review evaluates two methods of working within patient care and public health: the weight-normative approach (emphasis on weight and weight loss when defining health and well-being) and the weight-inclusive approach (emphasis on viewing health and well-being as multifaceted while directing efforts toward improving health access and reducing weight stigma). Data reveal that the weight-normative approach is not effective for most people because of high rates of weight regain and cycling from weight loss interventions, which are linked to adverse health and well-being. Its predominant focus on weight may also foster stigma in health care and society, and data show that weight stigma is also linked to adverse health and well-being. In contrast, data support a weight-inclusive approach, which is included in models such as Health at Every Size for improving physical (e.g., blood pressure), behavioral (e.g., binge eating), and psychological (e.g., depression) indices, as well as acceptability of public health messages. Therefore, the weight-inclusive approach upholds nonmaleficience and beneficience, whereas the weight-normative approach does not. We offer a theoretical framework that organizes the research included in this review and discuss how it can guide research efforts and help health professionals intervene with their patients and community

"You challenge yourself and you’re not afraid of anything!" Women’s Narratives of Running in Shanghai

Distance running is a rapidly growing leisure practice among urban Chinese adults. This study explores female runners’ experiences in Shanghai through life story interviews with 14 female runners. We analyzed their stories for cultural narrative resources and gendered life scripts used in the construction of running identities and practices. Although all interviewees constructed running within narratives of health, ideal body and achievement, women also storied running as a liberating and autonomy-boosting activity. Yet, despite their privileged status as educated urban citizens, they had to negotiate essentialist gender discourses and initially lacked self-confidence in sports. They constructed their achievements as exceptional, rather than as something that all Chinese women could do

Oral Health Literacy Inventories for Caregivers of Preschool-Aged Children: A Systematic Review

Purpose: The purpose of this systematic review was to describe the oral health literacy (OHL) inventories that have been used among caregivers of preschool-aged children. Methods: Four databases were searched (CINAHL, Cochrane Database of Systematic Reviews, Dentistry & Oral Sciences Source, PubMed), to identify peer-reviewed, full-text studies published in English on the oral health literacy among caregivers of preschool-aged children from 2010-2021. All studies were assessed for eligibility using PRISMA guidelines. Inclusion criteria were experimental, non-experimental, or mixed methods peer-reviewed studies, conducted in the United States. Eligible studies were independently evaluated using the Effective Public Health Practice Project\u27s Quality Assessment Tool. Results: The initial search yielded 182 articles; 11 studies met the inclusion criteria after screening: observational (n=8), experimental (n=2), and quasi-experimental (n=1). Main outcome measures included: oral health literacy, oral health knowledge, oral health attitudes and behaviors, child oral health status (COHS), child oral health-related quality of life (C-OHRQoL), and child oral health-related expenditures. However, this review focused only on caregivers\u27 OHL and the associated measurements for this variable. Most studies utilized the Rapid Estimate of Adult Literacy in Dentistry (REALD-30); the remainder used the Basic Research Factors Questionnaire (BRFQ), the Oral Health Literacy Inventory for Parents (OH-LIP), or self-designed survey questions. Conclusions: Few studies met the inclusion criteria. There was an uneven distribution of studies using different inventories for the measurement of oral health literacy limiting the generalizability of the findings to low-income and minority groups. Most caregiver OHL studies focused on dental word recognition, only a few measured knowledge and comprehension. More comprehensive inventories could be designed to evaluate caregivers\u27 knowledge and understanding of dental terms