The Constitution of the Holy Roman Empire after 1648: Samuel Pufendorf's Assessment in his 'Monzambano'

The examination of Pufendorf's Monzambano shows that he was strongly interested in the question of sovereignty, and that the complex reality of the Holy Roman Empire demanded a completely new approach to the question of where sovereignty within the Empire lay. Pufendorf developed his account of the Empire as an irregular political system by using essential aspects of Hobbes's theory and thus departed from all previous writers on the forma imperii. But Pufendorf's writing on the Empire has not only to be linked with political and philosophical discussion about sovereignty within the Empire but also with his own main writings where he developed a more detailed theory regarding the issue of sovereignty in general. The peace of Westphalia was not only an international settlement but it also shaped the constitution of the Empire to a considerable degree, and this is of crucial significance for the history of political thought during the seventeenth century

Galactic archaeology: IMF and depletion in the "thin disk"

We determine the initial mass function (IMF) of the ``thin disk'' by means of a direct comparison between synthetic stellar samples (for different matching choices of IMF, star formation rate SFR and depletion) and a complete (volume-limited) sample of single stars near the galactic plane (|z| < 25pc), selected from the Hipparcos catalogue (d < 100pc, M_v < +4.0). Our synthetic samples are computed from first principles: stars are created with a random distribution of mass M_* and age t_* which follow a given (genuine) IMF and SFR(t_*). They are then placed in the HR diagram by means of a grid of empirically well-tested evolution tracks. The quality of the match (synthetic versus observed sample) is assessed by means of star counts in specific regions in the HR diagram. 7 regions are located along the MS (main sequence, mass sensitive), while 4 regions represent different evolved (age-sensitive) stages of the stars. The counts of evolved stars, in particular, give valuable evidence of the history of the ``thin disk'' (apparent) star formation and lift the ambiguities in models restricted to MS star counts.Comment: 10 pages, 3 figures, submitted to MNRA

A critical test of empirical mass loss formulae applied to individual giants and supergiants

To test our new, improved Reimers-type mass-loss relation, given by Schroder & Cuntz in 2005 (ApJL 630, L73), we take a look at the best studied galactic giants and supergiants - particularly those with spatially resolved circumstellar shells and winds, obtained directly or by means of a companion acting as a probing light source. Together with well-known physical parameters, the selected stars provide the most powerful and critical observational venues for assessing the validity of parameterized mass-loss relations for cool winds not driven by molecules or dust. In this study, star by star, we compare our previously published relation with the original Reimers relation (1975), the Lamers relation (1981), and the two relations by de Jager and his group (1988, 1990). The input data, especially the stellar masses, have been constrained using detailed stellar evolution models. We find that only the relationship by Schroder & Cuntz agrees, within the error bars, with the observed mass-loss rates for all giants and supergiants.Comment: 11 pages, 5 Figs. accepted by Astronomy & Astrophysic

Forecasting economic activity in Germany: how useful are sentiment indicators?

We analyze four economic sentiment indicators for the German economy regarding their ability to forecast economic activity. Using cross correlations and Granger causality tests we find that the ifo business expectations (ifo), the Purchasing Managers Index (PMI) and the ZEW Indicator of Economic Sentiment (ZEW) lead the yearon-year growth rate of German industrial production by five months. Taking into account the publication lag of industrial production this lead is even larger. On the contrary, the European Commission?s Economic Sentiment Indicator (ESIN) does not exhibit a lead but rather seems to coincide or even lag economic activity. Analyzing lead/lag structures among the indicators we find that the ZEW indicator leads the ifo business expectations significantly by one month and that the latter has a onemonth lead over the PMI. Out-of-sample forecast evaluations suggest that both ifo and ZEW provide the best forecasts for industrial production among the three indicators ifo, PMI and ZEW. It is found that the ZEW indicator performs better than the ifo and PMI over the whole sample (Jan. 1994 – Mar. 2002) and especially over horizons from six to twelve months. The ifo expectations predict better at shorter horizons (up to three months) and is superior to the ZEW and PMI indicator when a shorter sample (Jan. 1998 – Mar. 2002) is regarded. --leading indicators,Germany,ifo,zew,PMI,ESIN

Completeness of Flat Coalgebraic Fixpoint Logics

Modal fixpoint logics traditionally play a central role in computer science, in particular in artificial intelligence and concurrency. The mu-calculus and its relatives are among the most expressive logics of this type. However, popular fixpoint logics tend to trade expressivity for simplicity and readability, and in fact often live within the single variable fragment of the mu-calculus. The family of such flat fixpoint logics includes, e.g., LTL, CTL, and the logic of common knowledge. Extending this notion to the generic semantic framework of coalgebraic logic enables covering a wide range of logics beyond the standard mu-calculus including, e.g., flat fragments of the graded mu-calculus and the alternating-time mu-calculus (such as alternating-time temporal logic ATL), as well as probabilistic and monotone fixpoint logics. We give a generic proof of completeness of the Kozen-Park axiomatization for such flat coalgebraic fixpoint logics.Comment: Short version appeared in Proc. 21st International Conference on Concurrency Theory, CONCUR 2010, Vol. 6269 of Lecture Notes in Computer Science, Springer, 2010, pp. 524-53

Trust in Early Modern International Political Thought, 1598-1713

Can there ever be trust between states? This study explores the concept of trust across different and sometimes antagonistic genres of international political thought during the seventeenth century. The natural law and reason of state traditions worked on different assumptions, but they mutually influenced each other. How have these traditions influenced the different concepts and discussions of trust-building? Bringing together international political thought and international law, Schröder analyses to what extent trust can be seen as one of the foundational concepts in the theorising of interstate relations in this decisive period. Despite the ongoing search for conditions of trust between states, we are still faced with the same structural problems. This study is therefore of interest not only to specialists and students of the early modern period, but also to everyone thinking about ways of overcoming conflicts which are aggravated by a lack of mutual trust. / The text in this record is Chapter 4.3 (pp. 176-198), "The Abbé De Saint-Pierre's (1658–1743) Project for Peace and his Challenge to Early Modern Statecraft"

The Concepts of Universal Monarchy & Balance of Power in the first Half of the Seventeenth Century – a Case Study

The struggle for political influence and hegemony in early modern Europe was pursued not solely by military means, but also by a variety of theories which aimed to foster such claims. Universal monarchy and balance of power were the two main concepts employed in the strife, if not for empire, at least for hegemony. This chapter contrasts these two concepts by a case study comparing Discourse Touching the Spanish Monarchy by Tommaso Campanella with the Grand Design by the Duke of Sully, both written in the seventeenth century. Dynastic and confessional allegiances remained to play their part in the ensuing European state system, as can be seen in Campanella’s and Sully’s proposals. However, the Westphalian settlement of 1648 was multi-polar and power relations were increasingly complex, which was reflected in Samuel Pufendorf’s work. A brief look at Pufendorf highlights how political thought developed further in the attempt to understand and organize the increasingly complex European state system

High-precision epsilon expansions of single-mass-scale four-loop vacuum bubbles

In this article we present a high-precision evaluation of the expansions in \e=(4-d)/2 of (up to) four-loop scalar vacuum master integrals, using the method of difference equations developed by S. Laporta. We cover the complete set of `QED-type' master integrals, i.e. those with a single mass scale only (i.e. $m_i\in\{0,m\}$) and an even number of massive lines at each vertex. Furthermore, we collect all that is known analytically about four-loop `QED-type' masters, as well as about {\em all} single-mass-scale vacuum integrals at one-, two- and three-loop order.Comment: 25 pages, uses axodraw.st