Dem edlen, unvergesslichen Johann Christian von Senckenberg Med. Doct. & Phys. Ord. welcher sich um Frankfurt und die leidende Menschheit und sein ganzes höchst ansehnliches Vermögen zur Gründung einer medicinischen Stiftung, und zu einem Bürger und Beisassen Hospital in seinem Testamente vom 18. August 1765 vermachte : er war gebohren am 28. Februar 1707 : ein unglücklicher Fall endigte am 15. November 1772 sein thatenreiches Leben : einem hohen Senate und löblicher Bürgerschaft der Freien Stadt Frankfurt ehrfurchtsvoll gewidmet von: Soldan Rohm

nach der Originalzeichnung von L. Müller ; entworfen und herausgegeben von: Soldan Rohm

Exterior Differential Systems and Euler-Lagrange Partial Differential Equations

The book also covers the Second Variation, Euler-Lagrange PDE systems, and higher-order conservation laws.

Contraprestaciones por los servicios financieros del Consulado de México y sus miembros: los fondos extraordinarios para la guerra contra Gran Bretaña, 1779-1783

Nueva España aportó la mayor parte de los recursos que sostuvieron a las fuerzas armadas españolas durante la guerra contra Gran Bretaña que se desarrolló en el Caribe entre 1779 y 1783. En el artículo se analizan las medidas a las que recurrieron las autoridades reales para obtener recursos extraordinarios del Consulado y varios mercaderes de la ciudad de México. Asimismo se exponen algunas de las contraprestaciones que negociaron a cambio de dichos servicios financieros y se plantean diversas hipótesis acerca de los motivos económicos, sociales y políticos que los llevaron a colaborar con el monarca, teniendo en cuenta los negocios que realizaban durante el conflicto bélico y la forma en que eran afectados por la reciente apertura comercial.

Official histories of parliament and the nature of the union of 1707:a forgotten episode in Anglo-Scottish academic relations

The Scottish Committee on the History of Parliament was established in 1936 as an offshoot of Col. Josiah Wedgwood's scheme for a collaborative ‘history of parliament’ researched and written on biographical lines. Circumstances, however, determined that the Scottish history would take a separate path. When Wedgwood's scheme was revived in 1951 an unsuccessful attempt was made to reintegrate the two projects. Discussions between the respective managing committees were conflicted and often bad-tempered, focussing on different interpretations of the nature of the united parliament created in 1707. The Scottish committee insisted that it was a new constitutional entity, while the English saw it as a continuation of the Westminster parliament with Scottish MPs added. This story of mutual incomprehension illustrates the profound differences between Scottish and English academics in the writing of parliamentary history, and also reveals a hitherto unobserved element in the development among leading Scottish jurists of a strain of ‘legal nationalism’ based on their interpretation of the constitutional significance of the Union.

On the modelling of fire atmosphere/sprinkler spray interacting using an Euler-Lagrange framework

An Euler-Lagrange particle tracking model, developed for simulating fire atmosphere/sprinkler spray interactions, is described. Full details of the model along with the approximations made and restrictions applying are presented. Errors commonly found in previous formulations of the source terms used in this two-phase approach are described and corrected. In order to demonstrate the capabilities of the model it is applied to the simulation of a fire in a long corridor containing a sprinkler. The simulation presented is three-dimensional and transient and considers mass, momentum and energy transfer between the gaseous atmosphere and injected liquid droplets.

"Je ne vous dirai point, mon très cher fils" Correspondance de Catherine de Charrière de Sévery 1780-1783

This dissertation examines the principles of education imbued in a three year correspondence between an eighteenth century woman and her teenage son from the French speaking region of Vaud, current day Switzerland. Despite her great respect for the literature and ideas of the new pedagogues of the Enlightenment, especially J.J. Rousseau and Mme de Genlis, Catherine de Charrière de Sévery maintained the traditional perspective of education of the Ancien Régime. To explore the concepts of education and instruction through the epistolary practice, this research is based on the corpus of 107 letters that Mme de Sévery wrote to her son Vilhelm between 1780 and 1783. Additional documents - among them Mme de Sévery’s diaries - from the particularly rich archival holdings of this aristocratic family have been used to complement her correspondence. Most previous studies on family correspondence have dealt with mothers to daughters, or fathers to sons, whereas this research is centered on letters between a mother and her son. The location of this family – Lausanne and the Pays de Vaud – provides a particular regional perspective due to two factors: immersion into a region uniformly Protestant, and the dual-influence of Germanic and French cultures. The study analyzes the educational principles that appear throughout Mme de Sévery’s letters by comparison with three literary works of the 18th century: a familiar correspondence, the Lettres du Lord Chesterfield à son fils (1776); the fundamental education treatise by J.J. Rousseau, Émile, ou de l’Éducation (1762); and a pedagogical treatise written by Mme de Genlis as an epistolary novel, Adèle et Théodore, ou lettres sur l’éducation. Using letters as the main tool to guide her son’s upbringing, Mme de Sévery highlights the moral and family values that are most important to her and leads him to find his place in society.

Graphic satire and the rise and fall of the First British Empire: political prints from the Seven Years' War to the Treaty of Paris, c. 1756-1783

This thesis examines the early stages of the transformation of emblematic political prints into political caricature from the beginning of the Seven Years' War (1756) to the Treaty of Paris, which ended the American Revolutionary War (1783). Both contextual and iconographical issues are investigated in relation to the debates occasioned by Britain's imperial project, which marked a period of dramatic expansion during the Seven Years' War, and ended with the loss of the American colonies, consequently framing this thesis as a study of political prints during the rise and fall of the so-called 'First British Empire'. Previous studies of eighteenth-century political prints have largely ignored the complex and lengthy evolutionary process by which the emblematic mode amalgamated with caricatural representation, and have consequently concluded that political prints excluded emblems entirely by the end of the 1770s. However, this study emphasizes the significance of the Wilkite movement for the promotion and preservation of emblems, and investigates how pictorial political argument was perceived and received in eighteenth-century British society, arguing that wider tastes and opinions regarding the utilization of political prints gradually shifted to accept both modes of representation. Moreover, the marketplace, legal status, topicality, and manufacturing methods of political prints are analyzed in terms of understanding the precarious nature of their consumption and those that endeavoured to engage in political printmaking. The evolution, establishment, and subsequent appropriation of pictorial tropes is discussed from the early modern period to the beginning of the so-called Golden Age of caricature, while tracing the adaptation of representational models in American colonial prints that employed emblems already entrenched in British pictorial political debate. Political prints from the two largest print collections, the British Museum and the Lewis Walpole Library at Yale are consulted, along with a number of eighteenth-century newspapers and periodicals, to develop the earlier research by M. Dorothy George, Charles Press, Herbert Atherton, Diana Donald, Amelia Rauser, and Eirwen Nicholson.

Map of Elizabeth Town, N.J. at the time of the Revolutionary War, 1775-1783. Showing that part of the free borough and town of Elizabeth, which is now the site of the city of Elizabeth.

Scale ca. 1:7,300.

Peter Euler: Pädagogik und Universalienstreit. Zur Bedeutung von F.I. Niethammers pädagogischer „Streitschrift". Weinheim: Deutscher Studien Verlag 1989 [Rezension]

Rezension von: Peter Euler: Pädagogik und Universalienstreit. Zur Bedeutung von F.I. Niethammers pädagogischer „Streitschrift". Weinheim: Deutscher Studien Verlag 1989. 454 S.

A method of lines approach for modelling saltwater intrusion in coastal aquifiers

The equations governing saltwater intrusion in coastal aquifers are complex. Backward Euler time stepping approaches are often used to advance the solution to these equations in time, which typically requires that small time steps be taken in order to ensure that an accurate solution is obtained. We show that a method of lines approach incorporating variable order backward differentiation formulas can greatly improve the efficiency of the time stepping process.

Numerical methods for the variable-order fractional advection-diffusion equation with a nonlinear source term

In this paper, we consider a variable-order fractional advection-diffusion equation with a nonlinear source term on a finite domain. Explicit and implicit Euler approximations for the equation are proposed. Stability and convergence of the methods are discussed. Moreover, we also present a fractional method of lines, a matrix transfer technique, and an extrapolation method for the equation. Some numerical examples are given, and the results demonstrate the effectiveness of theoretical analysis.

Modified alternating direction methods for solving a two-dimensional non-continuous seepage flow with fractional derivatives

In this paper, a two-dimensional non-continuous seepage flow with fractional derivatives (2D-NCSF-FD) in uniform media is considered, which has modified the well known Darcy law. Using the relationship between Riemann-Liouville and Grunwald-Letnikov fractional derivatives, two modified alternating direction methods: a modified alternating direction implicit Euler method and a modified Peaceman-Rachford method, are proposed for solving the 2D-NCSF-FD in uniform media. The stability and consistency, thus convergence of the two methods in a bounded domain are discussed. Finally, numerical results are given.