Topic
Character (mathematics)
About: Character (mathematics) is a research topic. Over the lifetime, 46723 publications have been published within this topic receiving 411412 citations.
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171 citations
Book•
01 Jan 1989
TL;DR: Beckford as discussed by the authors demonstrates that sociologists have much to gain from a strengthening of the connections between general theories about the changing character of modern western societies and specific studies of religion.
Abstract: In this book James Beckford demonstrates that sociologists have much to gain from a strengthening of the connections between general theories about the changing character of modern western societies and specific studies of religion. The weakness of such connections is indeed one of the most curious features of contemporary sociology.
170 citations
TL;DR: In this paper, it was shown that the character Gauss sum can be computed in terms of the Gauss sums of the k-th-order additive Waring's problem.
Abstract: where p is prime, e(x) = exp(2πix), and ep(x) = e(x/p). In each case we shall assume that p | / a unless the contrary is explicitly stated. Gauss sums arise in investigations into Waring’s problem, and other additive problems involving k-th powers. Although they are amongst the simplest complete exponential sums, the question as to their true order of magnitude is far from being resolved. We remark at the outset that if (k, p− 1) = k0, then Gp(a, k) = Gp(a, k0). Thus it suffices to suppose, as indeed we shall, that k|p− 1. When p | / a the trivial bound for G(a) states that |G(a)| ≤ p. The next simplest estimate takes the form |G(a)| ≤ (k − 1)√p. (1) This may be obtained by writing G(a) in terms of the character Gauss sum as
170 citations
Book•
17 Apr 2015
TL;DR: The authors provides a reconstruction of the Aristotelian character education, shedding new light on what moral character really is, and how it can be highlighted, measured, nurtured and taught in current schooling.
Abstract: This book provides a reconstruction of Aristotelian character education, shedding new light on what moral character really is, and how it can be highlighted, measured, nurtured and taught in current schooling. Arguing that many recent approaches to character education understand character in exclusively amoral, instrumentalist terms, Kristjansson proposes a coherent, plausible and up-to-date concept, retaining the overall structure of Aristotelian character education.After discussing and debunking popular myths about Aristotelian character education, subsequent chapters focus on the practical ramifications and methodologies of character education. These include measuring virtue and morality, asking whether Aristotelian character education can salvage the effects of bad upbringing, and considering implications for teacher training and classroom practice. The book rejuvenates time-honoured principles of the development of virtues in young people, at a time when ‘character’ features prominently in educational agendas and parental concerns over school education systems.Offering an interdisciplinary perspective which draws from the disciplines of education, psychology, philosophy and sociology, this book will appeal to researchers, academics and students wanting a greater insight into character education.
169 citations
169 citations