The Intersection of Religious Autonomy and Religious Symbols: Setting the Stage

Two sets of issues in the area of law and religion have generated a large share of attention and controversy across a wide number of countries and jurisdictions in recent years. The first set of issues relates to the autonomy of churches and other religiously affiliated entities such as schools and social service organisations in their hiring and personnel decisions, involving the question of how far, if at all, such entities should be free from the influence and oversight of the state. The second set of issues involves the presence of religious symbols in the public sphere, such as in state schools or on public lands, involving the question of how far the state should be free from the influence of religion. Although these issues – freedom of religion from the state, and freedom of the state from religion – could be viewed as opposite sides of the same coin, they are almost always treated as separate lines of inquiry, and the implications of each for the other have not been the subject of much scrutiny. In this Introduction, we consider whether insights might be drawn from thinking about these issues both from a comparative law perspective and also from considering these two lines of cases together.

A Tangled Web: ideas, images, symbols

Fundação para a Ciência e a Tecnologia

Restarting automata with restricted utilization of auxiliary symbols

The restarting automaton is a restricted model of computation that was introduced by Jancar et al. to model the so-called analysis by reduction, which is a technique used in linguistics to analyze sentences of natural languages. The most general models of restarting automata make use of auxiliary symbols in their rewrite operations, although this ability does not directly correspond to any aspect of the analysis by reduction. Here we put restrictions on the way in which restarting automata use auxiliary symbols, and we investigate the influence of these restrictions on their expressive power. In fact, we consider two types of restrictions. First, we consider the number of auxiliary symbols in the tape alphabet of a restarting automaton as a measure of its descriptional complexity. Secondly, we consider the number of occurrences of auxiliary symbols on the tape as a dynamic complexity measure. We establish some lower and upper bounds with respect to these complexity measures concerning the ability of restarting automata to recognize the (deterministic) context-free languages and some of their subclasses.

Quantities, units and symbols in physical chemistry, 3rd edition

The first IUPAC Manual of Symbols and Terminology for Physicochemical Quantities and Units (the Green Book) of which this is the direct successor, was published in 1969, with the object of 'securing clarity and precision, and wider agreement in the use of symbols, by chemists in different countries, among physicists, chemists and engineers, and by editors of scientific journals'. Subsequent revisions have taken account of many developments in the field, culminating in the major extension and revision represented by the 1988 edition under the simplified title Quantities, Units and Symbols in Physical Chemistry. This 2007, third edition, is a further revision of the material which reflects the experience of the contributors with the previous editions. The book has been systematically brought up to date and new sections have been added. It strives to improve the exchange of scientific information among the readers in different disciplines and across different nations. In a rapidly expanding volume of scientific literature where each discipline has a tendency to retreat into its own jargon this book attempts to provide a readable compilation of widely used terms and symbols from many sources together with brief understandable definitions. This is the definitive guide for scientists and organizations working across a multitude of disciplines requiring internationally approved nomenclature.

The choice of names and symbols for quantities in chemistry

The importance of maintaining a clear distinction between the names and symbols for quantities and the names and symbols for units.