The generalized second law of thermodynamics in generalized gravity theories

We investigate the generalized second law of thermodynamics (GSL) in generalized theories of gravity. We examine the total entropy evolution with time including the horizon entropy, the non-equilibrium entropy production, and the entropy of all matter, field and energy components. We derive a universal condition to protect the generalized second law and study its validity in different gravity theories. In Einstein gravity (even in the phantom-dominated universe with a Schwarzschild black hole), Lovelock gravity and braneworld gravity, we show that the condition to keep the GSL can always be satisfied. In f ( R) gravity and scalar-tensor gravity, the condition to protect the GSL can also hold because the temperature should be positive, gravity is always attractive and the effective Newton constant should be an approximate constant satisfying the experimental bounds.

Feature Matching for Object Localization in the Presence of Uncertainty

We consider the problem of matching model and sensory data features in the presence of geometric uncertainty, for the purpose of object localization and identification. The problem is to construct sets of model feature and sensory data feature pairs that are geometrically consistent given that there is uncertainty in the geometry of the sensory data features. If there is no geometric uncertainty, polynomial-time algorithms are possible for feature matching, yet these approaches can fail when there is uncertainty in the geometry of data features. Existing matching and recognition techniques which account for the geometric uncertainty in features either cannot guarantee finding a correct solution, or can construct geometrically consistent sets of feature pairs yet have worst case exponential complexity in terms of the number of features. The major new contribution of this work is to demonstrate a polynomial-time algorithm for constructing sets of geometrically consistent feature pairs given uncertainty in the geometry of the data features. We show that under a certain model of geometric uncertainty the feature matching problem in the presence of uncertainty is of polynomial complexity. This has important theoretical implications by demonstrating an upper bound on the complexity of the matching problem, an by offering insight into the nature of the matching problem itself. These insights prove useful in the solution to the matching problem in higher dimensional cases as well, such as matching three-dimensional models to either two or three-dimensional sensory data. The approach is based on an analysis of the space of feasible transformation parameters. This paper outlines the mathematical basis for the method, and describes the implementation of an algorithm for the procedure. Experiments demonstrating the method are reported.

The Nineteenth Century Law of the Sea and the British Abolition of the Slave Trade

This study focuses on British attempts during the nineteenth century to outlaw the Atlantic Slave Trade internationally, for which it was successful, after seventy-five years of effort. It considers the lack of willingness to allow Great Britain, at the Congress of Vienna and during the Concert of Europe, to establish a universal treaty outlawing the slave trade. As a result, this mandated a change in British tactics, which would ultimately prove to be successful – the establishment of a web of bilateral agreements which came to included all maritime powers. The study then moves on to consider the evolution of these bilateral agreements while highlighting the relationship between Great Britain and States (Brazil, France, Portugal and the United States) which were obstinate in their willingness to join this bilateral regime. Finally, consideration is given to the move towards the establishment of the 1890 General Act of Brussels; and thus the conclusion of the decades long British foreign policy objective of a universal instrument meant to suppress the Atlantic Slave Trade.

'Law of their own': notes on legal alterity in early nineteenth-century Ireland

This article investigates intersections between legal and literary discourse in Ireland in the early 19th century, and explores how judicial tropes, in particular that of an “alternative judiciary”, shape perceptions of Irish identity as well as cultural expression. Whilst Ireland and the Irish were typically characterized as lawless, this article examines the ubiquitous presence of alternative legal systems, focusing on the writings of Thomas Moore (1779–1852) and William Carleton (1794–1869). These representations, and the questions of authority and legitimacy that they provoke, are considered within critical debates about the development of literary forms in Ireland, and the inherent relationship that legal alterity evokes between textual and judicial authority.