Theoretical studies of product polarization and state distributions of the H+HCl reaction

The angular momentum polarization and rotational state distributions of the H-2 and HCl products from the H + HCl reaction are calculated at a relative translational energy of 1.6 eV by using quasiclassical trajectories on two potential energy surfaces, one from G3 surface [T.C. Allison et al., J. Phys. Chem. 100 (1996) 13575], and the other from BW2 surface [W. Bian, H.-J. Werner, J. Chem. Phys. 112 (2000) 220]. Product rotational distributions obtained on the G3 potential energy surface (PES) are much closer to the experimental results (P.M. Aker et al., J. Chem. Phys. 90 (1989) 4795; J. Chem. Phys. 90 (1989) 4809) than the distributions calculated on the BW2 PES. The distributions of P(phi(r)) for the H-2 and HCl products obtained on the G3 PES are similar, whereas the rotational alignment effect of the H-2 product is stronger than that of the HCl product. In contrast to the polarization distributions obtained on the G3 PES, the rotational alignment effect of the two products calculated on the BW2 PES is similar. However, the abstraction reaction is dominated by out-of-plane mechanisms, while the exchange reaction is dominated by in-plane mechanisms. The significant difference of the product rotational polarization obtained on the G3 and BW2 PESs implies that the studies of the dynamical stereochemistry can provide a sensitive test for the accuracy of the PES. (C) 2002 Elsevier Science B.V. All rights reserved.

'La Violence et la mauvaise foi': Context and rhetoric in Pierre Bayle's Ce que c'est que la France toute Catholique

My thesis presents an examination of Ce que c'est que la France toute Catholique (1686) by Pierre Bayle, a prominent figure in the Republic of Letters and the Huguenot Refuge in the seventeenth century. This pamphlet was the first occasional text that Bayle published following the Revocation of the Edict of Nantes in which the religious toleration afforded to the Huguenot minority in France was repealed, a pivotal moment in the history of early modern France. In my thesis, I analyse the specific context within which Bayle wrote this pamphlet as a means of addressing a number of issues, including the legitimacy of forced conversions, the impact of the religious controversy upon exchanges in the Republic of Letters, the nature of religious zeal and finally the alliance of Church and state discourses in the early modern period. An examination of this context provides a basis from which to re-interpret the rhetorical strategies at work within the pamphlet, and also to come to an increased understanding of how, why and to what end he wrote it. In turn this allowed me to examine the relationship between this often overlooked pamphlet and the more extensively studied Commentaire Philosophique, in which Bayle argued in favour of religious toleration. Ultimately, understanding the relationship between these two texts proves essential in order to characterise his response to the Revocation of the Edict of Nantes and to understand the place of the pamphlet within his oeuvre. Furthermore, an analysis of the pamphlet and the Commentaire Philosophique provide a lens through which to elucidate both Bayle's intellectual development at this early stage in his career, and also the wider context of the rise of toleration theory and the evolution of modes of civility within the Republic of Letters on the eve of the Enlightenment.

Birth-death processes with mass annihilation and state-dependent immigration

A birth-death process is subject to mass annihilation at rate β with subsequent mass immigration occurring into state j at rateα j . This structure enables the process to jump from one sector of state space to another one (via state 0) with transition rate independent of population size. First, we highlight the difficulties encountered when using standard techniques to construct both time-dependent and equilibrium probabilities. Then we show how to overcome such analytic difficulties by means of a tool developed in Chen and Renshaw (1990, 1993b); this approach is applicable to many processes whose underlying generator on E\{0} has known probability structure. Here we demonstrate the technique through application to the linear birth-death generator on which is superimposed an annihilation/immigration process.

An ontological characterization of time-series and state-sequences for data mining

Time-series and sequences are important patterns in data mining. Based on an ontology of time-elements, this paper presents a formal characterization of time-series and state-sequences, where a state denotes a collection of data whose validation is dependent on time. While a time-series is formalized as a vector of time-elements temporally ordered one after another, a state-sequence is denoted as a list of states correspondingly ordered by a time-series. In general, a time-series and a state-sequence can be incomplete in various ways. This leads to the distinction between complete and incomplete time-series, and between complete and incomplete state-sequences, which allows the expression of both absolute and relative temporal knowledge in data mining.

Devolution and party organizational change: The British and Spanish and state-wide parties compared

This article investigates the link between regionalization of the structure of government, regional elections and regionalism on the one hand, and the organization of state-wide political parties in Spain and the UK on the other. It particularly looks at two aspects of the relations between the central and regional levels of party organization: integration of the regional branches in central decision making and autonomy of the regional branches. It argues that the party factors are the most crucial elements explaining party change and that party leaders mediate between environmental changes and party organization. The parties' history and beliefs and the strength of the central leadership condition their ability or willingness to facilitate the emergence of meso-level elites. The institutional and electoral factors are facilitating factors that constitute additional motives for or against internal party decentralization