Evolving social networks, attitudes and beliefs and counter terrorism

'The Princeton Companion to Applied Mathematics' is an introduction to applied mathematics for students, teachers, and professionals. This article is for the "Application Areas" part of the book, which comprises articles on connections between applied mathematics and other disciplines.

John of Worcester and the science of history

Although the ‘chronicle of chronicles’ compiled at Worcester c1095-c1140 is now firmly attributed to John of Worcester, rather than Florence, major questions remain. A central issue is that the semi-autograph manuscript of the chronicle (now Oxford, Corpus Christi College, Ms 157) underwent several alterations to its structure and contents, as codicological evidence demonstrates. These included the incorporation of important illuminations, which have been surprisingly little considered in their overall manuscript context. This article focuses on these illuminations, and will argue that their presence in this version of the chronicle makes it something even more distinctive than the learned, revisionist chronological work of Marianus Scotus upon which it was based. John of Worcester’s chosen images are linked not only to his political narrative but also to theological works and to cutting-edge science, newly translated from Arabic. The presence of such miniatures in a twelfth-century chronicle is unique, and they are central to the final form given to the Worcester chronicle by John of Worcester himself in this key manuscript. Their analysis thus brings into focus the impressive assembly of materials which the chronicle offered to readers, to shape their understanding of ongoing events.

Computer Theorem Proving and HoTT

Theorem-proving is a one-player game. The history of computer programs being the players goes back to 1956 and the ‘LT’ LOGIC THEORY MACHINE of Newell, Shaw and Simon. In game-playing terms, the ‘initial position’ is the core set of axioms chosen for the particular logic and the ‘moves’ are the rules of inference. Now, the Univalent Foundations Program at IAS Princeton and the resulting ‘HoTT’ book on Homotopy Type Theory have demonstrated the success of a new kind of experimental mathematics using computer theorem proving.

Through Jewish eyes: polemical literature and the medieval papacy

Although the medieval papacy's stance towards the Jews is a well-established area of research, Jewish ideas about the papacy remain a surprisingly underdeveloped historical topic. This article explores such ideas through the genre of polemic and disputational literature. Jewish writers were keen to ensure the safety of their communities in western Europe and grateful for statements of papal protection. They fully acknowledged that popes had always played and would continue to play an important role in safeguarding their well-being and determining their future. Yet although contemporary and later writers often valued papal protection more highly than that of monarchs, emperors or clergy, they also knew that it had its carefully circumscribed limits. Furthermore, although they were respectful of the papacy's power, both spiritual and temporal, they were dismissive of the scriptural and theological formulations on which Christian claims for apostolic authority rested and highly critical of Christian beliefs about the papacy, in particular that of apostolic succession. Jewish ideas about both individual popes and the medieval papacy as an institution are therefore nuanced and complex; they deserve rigorous and wide-ranging investigation and it is hoped that this article will contribute to their better understanding.

Creativity and Growth in: Edmund Phelps (2013),Mass Flourishing. How Grassroots Innovation Created Jobs, Challenge and Change

This article reviews the thesis presented by Edmund Phelps, Mass Flourishing. How Grassroots Innovation Created Jobs, Challenge and Change (Princeton University Press, 2013) that modern economic growth is an indirect outcome of human creativity, and that the object of enlightened policy ought to be to promote this creativity, or flourishing, rather than economic growth per se. The book is a remarkable contribution to the literature on economic growth, with its focus on how entrepreneurship and innovation generates endogenous growth and, more importantly to the author, improves human satisfaction.

Rheological and electrical properties of NaY zeolite electrorheological fluid

The relations between the rheological and electrical properties of NaY zeolite electrorheological fluid and its solid phase are studied. It is found that then exist complex relations between its electrical and theological properties. The temperature spectra of dielectric properties of the fluid under high AC electric field are strongly field strength dependent. The relation between the DC conductivity of the fluid and the exciting electric field is experimentally presented as log sigma =A+BE1/2, when A is a strong function, but B, a very weak function of temperature. The shear stress of the fluid under a fixed electric field and temperature decreases with shear rate. A relaxation time for the adsorbed charges is estimated to be about 0.3 to 6.6 s in the temperature range from 280 to 380 K. The relaxation time qualitatively corresponds to the shear rate at which the shear stress begins to drop. The time dependent leaking current of the ER fluids under DC electric field is also measured. The conductivity increase is mainly caused by the structure evolution of particles. The experimental results can he explained with the calculations of Davis (J. Appl. Phys. 81(1997) pp.1985-1991) and Martin (J. Chem. Phys. 110(1999) pp.4854-4866). It is predicted that the NaY zeolite ER fluid strength would get degraded slowly.

“Very sore nights and days”: the child’s experience of illness in early modern England, c. 1580-1720

Sick children were ubiquitous in early modern England, and yet they have received very little attention from historians. Taking the elusive perspective of the child, this article explores the physical, emotional, and spiritual experience of illness in England between approximately 1580 and 1720. What was it like being ill and suffering pain? How did the young respond emotionally to the anticipation of death? It is argued that children’s experiences were characterised by profound ambivalence: illness could be terrifying and distressing, but also a source of emotional and spiritual fulfilment and joy. This interpretation challenges the common assumption amongst medical historians that the experiences of early modern patients were utterly miserable. It also sheds light on children’s emotional feelings for their parents, a subject often overlooked in the historiography of childhood. The primary sources used in this article include diaries, autobiographies, letters, the biographies of pious children, printed possession cases, doctors’ casebooks, and theological treatises concerning the afterlife.

Film forming solutions based on gelatin and poly(vinyl alcohol) blends: Thermal and rheological characterizations

The objective of this work was to study the theological and thermal properties of film forming solutions (FFS) based on blends of gelatin and poly(vinyl alcohol) (PVA). The effect of the PVA concentration and plasticizer presence on the flow behavior, and viscoelastic and thermal properties of FFS was studied by steady-shear flow and oscillatory experiments, and also, by microcalorimetry. The FB presented Newtonian behavior at 30 degrees C, and the viscosity was not affected neither by the PVA concentration nor by the plasticizer. All FFS presented a phase transition during tests applying temperature scanning. It was verified that the PVA affected the viscoelastic properties of FFS by dilution of gelatin. This behavior was confirmed by microcalorimetric analysis. The behaviors of the storage (G`) and loss (G ``) moduli as a function of frequency of FFS obtained at 5 degrees C were typical of physical gels; with the G` higher than the G ``. The strength of the gels was affected by the PVA concentration. (C) 2009 Elsevier Ltd. All rights reserved.

Optimization of the rheological properties of probiotic yoghurts supplemented with milk proteins

This study aimed to optimize the rheological properties of probiotic yoghurts supplemented with skimmed milk powder (SMP) whey protein concentrate (WPC) and sodium caseinate (Na-Cn) by using an experimental design type simplex-centroid for mixture modeling It Included seven batches/trials three were supplemented with each type of the dairy protein used three corresponding to the binary mixtures and one to the ternary one in order to increase protein concentration in 1 g 100 g(-1) of final product A control experiment was prepared without supplementing the milk base Processed milk bases were fermented at 42 C until pH 4 5 by using a starter culture blend that consisted of Streptococcus thermophilus Lactobacillus delbrueckii subsp bulgaricus and Bifidobacterium (Humans subsp lactis The kinetics of acidification was followed during the fermentation period as well the physico-chemical analyses enumeration of viable bacteria and theological characteristics of the yoghurts Models were adjusted to the results (kinetic responses counts of viable bacteria and theological parameters) through three regression models (linear quadratic and cubic special) applied to mixtures The results showed that the addition of milk proteins affected slightly acidification profile and counts of S thermophilus and B animal`s subsp lactis but it was significant for L delbrueckii subsp bulgaricus Partially-replacing SMP (45 g/100 g) with WPC or Na-Cn simultaneously enhanced the theological properties of probiotic yoghurts taking into account the kinetics of acidification and enumeration of viable bacteria (C) 2010 Elsevier Ltd All rights reserved

Essentialism i religionsundervisningen : Ett religionsdidaktiskt problem

Essentialist concepts of religion are common in the teaching of religion in schools and to a certain extent also in the academic discipline of religious studies. In this article, a number of problems with essentialist perceptions of religion are discussed. In the first part of the article a thesis is maintained, according to which essentialist conceptions of religion or specific religions are too limited to be of value in the teaching of religion. This is done through examples of essentialist expressions about religion. The examples are grouped according to a typology of different kinds of essentialism. Two main categories, each with two sub-categories are identified. Thus, the category of essentialism regarding the substance of religion is divided into transcendental or theological essentialism (which presupposes the existence of a sacred power of some kind, the experience of which is the basis for religion), and core essentialism (where it is presupposed that certain ideas or concepts constitute religion as a general category or specific religions). Likewise, the category of essentialism regarding the function of religion has two sub-categories: positive and negative essentialism. These kinds of essentialism presuppose that religion or specific religions are inherently good or harmful respectively to human beings. Examples from each of these categories are given and discussed. In the second part of the article, Benson Saler’s open concept of religion is presented as an alternative to essentialist or bounded perceptions. It is based on Ludwig Wittgenstein’s idea of family resemblances and on prototype theory. In connection with this, it is argued that a certain kind of conscious ethnocentrism is needed as a point of departure in the study and teaching of religion. The metaphor of education as a journey from the familiar out into the unfamiliar and back again is suggested as a possible pattern for such teaching. Finally,some examples of non-essentialist ways to introduce religions are offered.

Opening the Windows of the Church to the World: The Creation of Nostra Aetate and Its Impact on the Christian-Jewish relationship

It is important to assert that this study is not a work to inflict guilt on the Catholics or Catholicism for their silence and indifference during the Holocaust. Instead, this study is about the process of moving on from the Catholic Church's past to where the Jewish community's theological existence was finally recognized and the Jewish people were no longer seen as the Others who killed Christ. This was, achieved through a church declaration titled Nostra Aetate (In Our Time). This study records the journey traversed by this declaration, the insurmountable odds it faced in its creation until its promulgation and the impact it has on the Jewish-Christian relationship.

The Schwarmgeister: The Development of Ecclesiastical Doctrine Through Schismatic Movements

Throughout the Christian story, Church doctrine and ecclesiology have been shrouded in controversy. From the Council of Nicea in 325, when are early Church fathers debated about the Trinity of Christ all the way to the modern day with Vatican II theological controversies have been important in the molding of Christian doctrine on the structure, role, and function of the Church. What makes those controversies different from the ones I treat in my thesis is that the previously mentioned controversies did not lead to schismatic divisions in the Church. The Donatist controversy and Luther's theological battle with Karlstadt were major movements that endangered the unity of the Church. These controversies propagated crucial writings and teachings in two major areas. The first area is the spiritual power and validity of the sacraments. Second is the role, function, and ecclesiology of the Church, with particular attention to the authority of the ministry. I want to demonstrate that these controversies refined the Church's thinking on sacramental issues such as baptism and Eucharist, as well as address the question of who has the power in the Church? And to what extent do they have the power to press reforms?