Zooming in on infinitesimal 1–.9.. in a post-triumvirate era

The view of infinity as a metaphor, a basic premise of modern cognitive theory of embodied knowledge, suggests in particular that there may be alternative ways in which one could formalize mathematical ideas about infinity. We discuss the key ideas about infinitesimals via a proceptual analysis of the meaning of the ellipsis “...” in the real formula (hbox{.999ldots = 1}). Infinitesimal-enriched number systems accommodate quantities in the half-open interval [0,1) whose extended decimal expansion starts with an unlimited number of repeated digits 9. Do such quantities pose a challenge to the unital evaluation of the symbol “.999...”? We present some non-standard thoughts on the ambiguity of the ellipsis in the context of the cognitive concept of generic limit of B. Cornu and D. Tall. We analyze the vigorous debates among mathematicians concerning the idea of infinitesimals.     

The Chinese innovation system during economic transition: A scale-independent view

This paper uses scale-independent indicators to explore the Chinese national and regional innovation systems during economic transition. Our perception of an innovation system is frequently informed by conventional indicators based on linear assumptions while actually innovation systems may behave differently. Scale-independent indicators characterize non-linear properties of an innovation system. They can give decision makers deeper insight into the dynamics of innovation systems, and they may lead to more practical public policies [Katz, J. S. (2006). Indicators for complex innovation systems. Research Policy, 35, 893–909].As reported for the European and Canadian innovation systems the Chinese systems exhibited scaling correlations between GERD (Gross Expenditure on Domestic R&D) and GDP (Gross Domestic Product) over time and at points in time. The scaling factors of the correlations tell us that between 1995 and 2005 the Chinese GERD exhibited a strong non-linear tendency to increase with GDP. Furthermore they show that the GERD of the Western region is growing much slower than its GDP as compared with Eastern and Central regions. This observation has policy implications suggesting further improvements need to be made to the research infrastructure and funding of the Western region.The GDP–POP (Population) scaling factor shows that the ‘wealth intensity’ or GDP per capita is increasing much faster than the exponential growth of the Chinese population. In contrast the systemic GDP–POP scaling factor shows that regional development is non-linear. Finally, the paper–GDP and patent–GDP scaling factors tell us that outputs of science and technology for China are growing faster than economic growth. The systemic paper–GDP and patent–GDP scaling factors show that the growth rates are uneven across the provinces.     

Americanization of Korean political advertising

This study explores televised political ads in the 1992 presidential election in the US and Korea to determine whether Korean political advertising follows American campaign styles—the findings are that it does. More specifically, the results demonstrated few differences between the two groups. However, some deep‐seated Korean cultural values still remain distinct in terms of negative advertising use and the category of ethical appeals. The conclusion is that the dominance of American campaign styles may be present in a global context beyond Western societies.     

Consumer health services and collections for Hispanics: an introduction

Hispanics are the fastest growing minority population in the United States today. Providing health information services to Hispanic patients and their family members can be challenging because of diversity. Library staff should be familiar with the specific health care needs and sociocultural characteristics of Hispanics. This article discusses the movement toward providing culturally competent health care and identifies socioeconomic challenges and barriers to health care faced by Hispanics. Suggestions are offered for communicating with this group in the reference setting, and a selective bibliography of Internet consumer health resources available in both Spanish and English is provided.     

Explaining Long-Term Exercise Adherence in Women Who Complete a Structured Exercise Program

The purpose of this study was to qualitatively examine factors related to physical activity adherence to understand why women continue to participate in long-term exercise after completing a structured exercise program. Data were collected from focus groups, interviews, and e-mails, and analysis used grounded theory. The central category related to physical activity adherence was self-worth. Motivation, activity enjoyment, priorities, body image, ability to access support, and self-regulation skills had an impact on the self-worth of nonadherers and adherers. Women must value themselves enough to continue to participate in physical activity once they start. Exercise and fitness professionals are encouraged to use strategies to increase self-worth and long-term adherence to physical activity. Some recommended strategies include (a) increasing motivation and enjoyment relative to activity, (b) making activity a high priority in a woman's life, (c) improving or deemphasizing body image, (d) increasing a woman's ability to access support, and (e) facilitating the use of self-regulation strategies. This study is the first to examine qualitative perspectives of exercise adherence among women who completed a structured exercise program. Several concepts related to adherence presented in the quantitative literature are confirmed and enhanced in this study.