A newly discovered portrait of Napoleon by Jacques-Louis David

This article establishes the authenticity of a half length portrait of Napoleon, long thought to be a copy.

The history of the practice of strategy from Antiquity to Napoleon

This chapter outlines the history of the practice of strategy, predating the introduction of the term. It homes in on episodes of European history since Antiquity for which historians claim to have found evidence of the practice of strategy, defined by Kimberly Kagan as ‘the setting of a state’s objectives and of priorities among those objectives’ in order to allocate resources and choose the best means. While focusing only on Europe, this chapter covers case studies over nearly 2500 ranging from the wars of Ancient Greece, of the Romans to Medieval warfare (here with a focus on English history), the warfare of Philip II of Spain, Louis XIV of France, Frederick II of Prussia, the French Revolutionaries and Napoleon.

Josephine: desire, ambition, Napoleon

Biography of Josephine Bonaparte. The incredible rise and unbelievable fall of Josephine, a mistress, courtesan and Revolutionary heroine whose energy and ambition has often been overshadowed by Napoleon’s military might. Historian Kate Williams, author of Becoming Queen, tells Josephine’s searing story of sexual obsession, politics and surviving as a woman in a man’s world. Abandoned in Paris by her aristocratic husband, Josephine's future did not look promising. But while her friends and contemporaries were sent to the guillotine during the Terror that followed the Revolution, she survived prison and emerged as the doyenne of a wildly debauched party scene, surprising everybody when she encouraged the advances of a short, marginalised Corsican soldier, six years her junior. Josephine, the fabulous hostess and skilled diplomat, was the perfect consort to the ambitious but obnoxious Napoleon. With her by his side, he became the greatest man in Europe, the Supreme Emperor; and she amassed a jewellery box with more diamonds than Marie Antoinette’s. But as his fame grew, Napoleon became increasingly obsessed with his need for an heir and irritated with Josephine’s extravagant spending. The woman who had enchanted France became desperate and jealous. Until, a divorcee aged forty-seven, she was forced to watch from the sidelines as Napoleon and his young bride produced a child.

New and improved results for packing identical unitary radius circles within triangles, rectangles and strips

The focus of study in this paper is the class of packing problems. More specifically, it deals with the placement of a set of N circular items of unitary radius inside an object with the aim of minimizing its dimensions. Differently shaped containers are considered, namely circles, squares, rectangles, strips and triangles. By means of the resolution of non-linear equations systems through the Newton-Raphson method, the herein presented algorithm succeeds in improving the accuracy of previous results attained by continuous optimization approaches up to numerical machine precision. The computer implementation and the data sets are available at http://www.ime.usp.br/similar to egbirgin/packing/. (C) 2009 Elsevier Ltd, All rights reserved.

Packing triangles in low degree graphs and indifference graphs

We consider the problems of finding the maximum number of vertex-disjoint triangles (VTP) and edge-disjoint triangles (ETP) in a simple graph. Both problems are NP-hard. The algorithm with the best approximation ratio known so far for these problems has ratio 3/2 + epsilon, a result that follows from a more general algorithm for set packing obtained by Hurkens and Schrijver [On the size of systems of sets every t of which have an SDR, with an application to the worst-case ratio of heuristics for packing problems, SIAM J. Discrete Math. 2(1) (1989) 68-72]. We present improvements on the approximation ratio for restricted cases of VTP and ETP that are known to be APX-hard: we give an approximation algorithm for VTP on graphs with maximum degree 4 with ratio slightly less than 1.2, and for ETP on graphs with maximum degree 5 with ratio 4/3. We also present an exact linear-time algorithm for VTP on the class of indifference graphs. (C) 2007 Elsevier B.V. All rights reserved.

The Fundamental Gap For Hyperbolic Triangles

In 1983, M. van den Berg made his Fundamental Gap Conjecture about the difference between the first two Dirichlet eigenvalues (the fundamental gap) of any convex domain in the Euclidean plane. Recently, progress has been made in the case where the domains are polygons and, in particular, triangles. We examine the conjecture for triangles in hyperbolic geometry, though we seek an for an upper bound for the fundamental gap rather than a lower bound.

Das Synhedrion unter Napoleon I. und die ersten Emancipationsbestrebungen : Vortr. zum 100jähr. Jubiläum des Lessing'schen "Nathan"

geh. ... von Samuel Back