Bounded gaps between primes in special sequences

We use Maynard's methods to show that there are bounded gaps between primes in the sequence $\{\lfloor n\alpha\rfloor\}$, where $\alpha$ is an irrational number of finite type. In addition, given a superlinear function $f$ satisfying some properties described by Leitmann, we show that for all $m$ there are infinitely many bounded intervals containing $m$ primes and at least one integer of the form $\lfloor f(q)\rfloor$ with $q$ a positive integer.Comment: 14 page

The Emerging Role of Universities in Collective Impact Initiatives for Community Benefit

Universities are increasing their efforts to more clearly demonstrate their social value. This article illustrates how higher education administrators can incorporate collective impact partnerships in their community benefit strategies. The article explores two of the more familiar paradigms for community benefit—community engagement and anchor institution. Collective impact principles and practices are then presented. Finally, a case study provides a tangible example of how one university’s role in a collective impact initiative transitioned in response to the community. We end the article with ten takeaways and an invitation for higher education administrators to identify their own learning and action steps that can help shift focus from proving to improving their institution’s value to the community

Impact Of Follow-Up Encounters By A Geriatric Nurse Clinician On Return Visits To The Emergency Department By Elderly Clients

Wiedenbach\u27s Theory of Nursing as the helping art was the framework for this quasi-experimental study. This study sought to determine the effects of a follow-up encounter by a Geriatric Nurse Clinician on return visits to the emergency department by elderly clients. A nonprobability quota sampling consisted of elders, 65 to 92 years of age with chronic health problems, who utilized the emergency department of a 474-bed urban hospital. Thirty subjects were randomly assigned to three equal groups: Groups A and B received either a telephone call or a home visit, while Group C received no follow-up encounter. Demographic data were collected from medical records of subjects in all three groups. A researcher-developed 8-item questionnaire was used to assess needs and intervention on subjects in Groups A and B. Hospital and emergency department admission logs were monitored for return visits of all subjects 7 days post-discharge from the emergency department. Chi-square statistics were used to analyze data. The researcher hypothesized that the return rate of elderly clients to the emergency department would positively correlate to follow-up encounters by a Geriatric Nurse Clinician. Since X^(3, N = 30) = .58, p \u3c .05, no statistically significant relationship in the rate of return visits and follow-up encounters among three groups were noted. However, additional findings revealed that the elders had a preference for the emergency room physician, and there was a lack of comprehensive histories and discharge planning for elders who utilized the emergency department. These conclusions indicate that the GNC may be a valuable asset in the emergency department to act as advocator primary health care provider, consultant for referrals, and researcher to improve the quality of health care for the elder. Recommendations include replication of the study with a larger sample using a time series design and implementation of a study which focuses on the significant others role to further validate Wiedenbach\u27s (1964) theory

The Acidic Domains of the Toc159 Chloroplast Preprotein Receptor Family are Instrinsically Disordered Protein Domains

Background: The Toc159 family of proteins serve as receptors for chloroplast-destined preproteins. They directly bind to transit peptides, and exhibit preprotein substrate selectivity conferred by an unknown mechanism. The Toc159 receptors each include three domains: C-terminal membrane, central GTPase, and N-terminal acidic (A-) domains. Although the function(s) of the A-domain remains largely unknown, the amino acid sequences are most variable within these domains, suggesting they may contribute to the functional specificity of the receptors. Results: The physicochemical properties of the A-domains are characteristic of intrinsically disordered proteins (IDPs). Using CD spectroscopy we show that the A-domains of two Arabidopsis Toc159 family members (atToc132 and atToc159) are disordered at physiological pH and temperature and undergo conformational changes at temperature and pH extremes that are characteristic of IDPs. Conclusions: Identification of the A-domains as IDPs will be important for determining their precise function(s), and suggests a role in protein-protein interactions, which may explain how these proteins serve as receptors for such a wide variety of preprotein substrates