On the uniform domination number of a finite simple group

Let $G$ be a finite simple group. By a theorem of Guralnick and Kantor, $G$ contains a conjugacy class $C$ such that for each non-identity element $x \in G$, there exists $y \in C$ with $G = \langle x,y\rangle$. Building on this deep result, we introduce a new invariant $\gamma_u(G)$, which we call the uniform domination number of $G$. This is the minimal size of a subset $S$ of conjugate elements such that for each $1 \ne x \in G$, there exists $s \in S$ with $G = \langle x, s \rangle$. (This invariant is closely related to the total domination number of the generating graph of $G$, which explains our choice of terminology.) By the result of Guralnick and Kantor, we have $\gamma_u(G) \leqslant |C|$ for some conjugacy class $C$ of $G$, and the aim of this paper is to determine close to best possible bounds on $\gamma_u(G)$ for each family of simple groups. For example, we will prove that there are infinitely many non-abelian simple groups $G$ with $\gamma_u(G) = 2$. To do this, we develop a probabilistic approach, based on fixed point ratio estimates. We also establish a connection to the theory of bases for permutation groups, which allows us to apply recent results on base sizes for primitive actions of simple groups.Comment: 35 pages; to appear in Trans. Amer. Math. So

Patient considerations in the treatment of COPD: focus on the new combination inhaler umeclidinium/vilanterol.

Medication adherence among patients with chronic diseases, such as COPD, may be suboptimal, and many factors contribute to this poor adherence. One major factor is the frequency of medication dosing. Once-daily dosing has been shown to be an important variable in medication adherence in chronic diseases, such as COPD. New inhalers that only require once-daily dosing are becoming more widely available. Combination once-daily inhalers that combine any two of the following three agents are now available: 1) a long-acting muscarinic antagonist; 2) a long acting beta2 agonist; and 3) an inhaled corticosteroid. A new once-daily inhaler with both a long-acting muscarinic antagonist, umeclidinium bromide, and a long acting beta2 agonist, vilanterol trifenatate, is now available worldwide for COPD treatment. It provides COPD patients convenience, efficacy, and a very favorable adverse-effects profile. Additional once-daily combination inhalers are available or will soon be available for COPD patients worldwide. The use of once-daily combination inhalers will likely become the standard maintenance management approach in the treatment of COPD because they improve medication adherence

Automatic Dispensing Pill Caddy for the Elderly

The report, Aging in the United States, finds that baby boomers who are at retirement age are in worse health compared with previous generations. More of them are living with chronic conditions such as high cholesterol, hypertension, diabetes, arthritis, and heart disease; all which require medication. The report also anticipates the number of people with dementia could nearly triple in the coming decades, resulting in senior adults requiring more assistance with daily activities. Our product intends to enhance the quality of life of the older adult population by providing a pill dispenser that creates convenience with alerts and notifications. This makes the dosage easily accessible to those with cognitive and other impairments, and helps these adults to live a healthier lifestyle all the while minimizing the stress involved and time needed to take their medication. The demographics for our customer base include those who are ages 65+ who have difficulty with memory, individuals who live with multiple diseases/chronic conditions, and elderly individuals who live independently and require regular assistance. We will reach our most relevant market by selling our product individually and also by providing access to hospitals, insurance companies, and care providers. Our product will add value to our end user’s life, is easily accessible for the elderly customers and can easily be changed with evolving technology.https://scholarscompass.vcu.edu/capstone/1190/thumbnail.jp

The Business of Collaboration and Electronic Collection Development

Purpose - Strategic business partnerships inform business faculty-librarian (BFL) collaborations. This paper seeks to address how the motivations for business partnerships and faculty-librarian collaborations are similar. A conceptual model suggests that the depth of the BFL relationship significantly enhances electronic collection development outcomes. Design/methodology/approach - Literature concerning strategic business alliances, faculty-librarian collaborations, and collection development was examined to determine whether principles that are applied to strategic business alliances can also be applied to BFL collaborations. A case-in-point is included for illustration. Findings - Specific principles of strategic business partnerships can be applied to BFL collaborations aimed at improving electronic collection development. In addition, driving forces such as assessment, communication, and technology influence the nature of alliances across the business and academic arenas. Originality/value - The findings are significant because they demonstrate how BFL collaborations can be made more effective through the application of business principles. BFL collaborations can positively influence electronic collection development in a variety of ways. The paper offers a new and unique conceptual model that improves understanding of the nature and depth of BFL collaborations in the context of electronic collection development. This paper will be of interest to business faculty in particular and faculty in general, and librarians working in diverse library settings, especially librarians aligned with management and business departments. Librarians in management positions will likely find this information useful as a means to increase faculty-librarian collaboration across all disciplines

The Role of Uncoupling Protein 3 in Human Physiology

Obesity is simply understood as an imbalance between energy intake and expenditure in favor of weight accretion. However, the human biological interface between food consumption and energy dissipation results in broad individual differences in eating behavior, physical activity, and efficiency of fuel storage and metabolism. In particular, the basal metabolic rate, which accounts for the greatest portion of overall energy expenditure, can vary almost twofold among individuals. Classically, three major biochemical systems are believed to contribute to basal thermogenesis: futile cycles, Na+/K+ATPase activity, and mitochondrial proton leak. The latter is the most important quantitative contributor and can explain up to 50% of the basal metabolic rate (1). The molecular basis of mitochondrial proton leak is unclear, despite its importance in the understanding of energy balance and its potential as a therapeutic target for obesity treatment. The article by Hesselink and colleagues in this issue of the JCI (2) addresses whether uncoupling protein 3 contributes to mitochondrial proton leak in human skeletal muscle

The Indianapolis Motor Speedway

This case study is intended to illustrate the issues surrounding planning and implementation of an enterprise system in a large organization with disparate business functions, with particular emphasis on application implementation, best practices, and IT investment decisions. It is recommended for either undergraduate- or graduate-level course work

JULES-BE:Representation of bioenergy crops and harvesting in the Joint UK Land Environment Simulator vn5.1

We describe developments to the land surface model JULES, allowing for flexible user-prescribed harvest regimes of various perennial bioenergy crops or natural vegetation types. Our aim is to integrate the most useful aspects of dedicated bioenergy models into dynamic global vegetation models, in order that assessment of bioenergy options can benefit from state-of-the-art Earth system modelling. A new plant functional type (PFT) representing Miscanthus is also presented. The Miscanthus PFT fits well with growth parameters observed at a site in Lincolnshire, UK; however, global observed yields of Miscanthus are far more variable than is captured by the model, primarily owing to the model's lack of representation of crop age and establishment time. Global expansion of bioenergy crop areas under a 2 ?C emissions scenario and balanced greenhouse gas mitigation strategy from the IMAGE integrated assessment model (RCP2.6- SSP2) achieves a mean yield of 4.3 billion tonnes of dry matter per year over 2040-2099, around 30 % higher than the biomass availability projected by IMAGE. In addition to perennial grasses, JULES-BE can also be used to represent short-rotation coppicing, residue harvesting from cropland or forestry and rotation forestry

Case Selection: A Case for a New Approach

While conducting empirical research regarding the relationship between case characteristics and student performance, the authors were surprised to find a lack of conceptual and empirical research regarding instructor case selection. This conceptual paper explores the case selection process and introduces case selection as an under-investigated component of the case teaching method in management education. Case selection is important because it is a critical component of the case teaching method. There has been no empirical testing of the effectiveness of case selection technique. The authors identify and propose case selection criteria for instructors of management education

Health Insurance Exchanges: Legal Issues

Health insurance exchanges (HIE) are entities that organize the market for health insurance by connecting small businesses and individuals into larger pools that spread the risk for insurance companies, while facilitating the availability, choice and purchase of private health insurance for the uninsured. While there are legal issues that warrant consideration under a federal, state, or private exchange framework, those issues are not insurmountable barriers to implementation