A class of infinite convex geometries

Various characterizations of finite convex geometries are well known. This note provides similar characterizations for possibly infinite convex geometries whose lattice of closed sets is strongly coatomic and lower continuous. Some classes of examples of such convex geometries are given.Comment: 10 page

Nation

The term “nation,” as opposed to “state” or “federation” or “territory” or other related terms, implies the existence of a people united either by common ancestry or some other deep cultural bond

On Nations and International Boundaries - The European Case

It seems that our world is made of mainly nation states - independent states based on one particular nation, sometimes with some minorities in that state. Thus the model seams to be ‘a nation is establishing its boundaries’. On the other hand, our world also has the ‘boundaries that made a nation’ model, in which a nation was created after boundaries were drawn. Most independent European countries belong to the first model but Spain, Belgium, and five tiny states belong to the second model

Friend or Foe: Perceptions of China in Africa

China\u27s rush to Africa for resources and a sphere of influence has inspired much debate in the academic world. Many western scholars generalize China\u27s Africa strategy or African perceptions of that strategy. These are both grave mistakes. While China\u27s objectives in Africa are the same all over, the way it achieves that strategy varies from nation to nation. In addition, African perceptions of China vary from nation to nation. Using Algeria and Niger as main case studies, this paper will show that the wealth of a nation changes the way that the Chinese government and Chinese nationals interact with that nation, and, that this modification of behavior is what causes positive or negative perceptions of China

Nation and archipelago

This chapter explores John Milton's Observations upon the Articles of Peace with the Irish Rebels (1649), a 25,000-word treatise that is a touchstone text for a turning point in British and Irish history, a telling account of the tensions between colonialism and republicanism, and a tipping point in Milton's thinking around Archipelagic interdependence – the tied fates of the nations that make up the emerging British state. This multi-authored work, exemplary in its many-sided depiction of a pivotal point in the history of the three Stuart kingdoms of England, Ireland, and Scotland, depicts different national and religious communities responding to the execution of Charles I on January 30, 1649. Milton's commission was to address the “complication of interests” in Ireland in the wake of the killing of the king. His protean polemic captures the contradictions of a poet against empire countering a challenge to metropolitan government from a complex planter society

Branding the nation: Towards a better understanding

This paper aims to clarify some misunderstanding about nation branding. It examines the origins and interpretations of the concept, and draws a comparison between nation branding and commercial branding. A new definition is offered that emphasises the need to shift from “branding” the nation to nation image management

Ergodicity probes: using time-fluctuations to measure the Hilbert space dimension

Quantum devices, such as quantum simulators, quantum annealers, and quantum computers, may be exploited to solve problems beyond what is tractable with classical computers. This may be achieved as the Hilbert space available to perform such `calculations' is far larger than that which may be classically simulated. In practice, however, quantum devices have imperfections, which may limit the accessibility to the whole Hilbert space. We thus determine that the dimension of the space of quantum states that are available to a quantum device is a meaningful measure of its functionality, though unfortunately this quantity cannot be directly experimentally determined. Here we outline an experimentally realisable approach to obtaining the required Hilbert space dimension of such a device to compute its time evolution, by exploiting the thermalization dynamics of a probe qubit. This is achieved by obtaining a fluctuation-dissipation theorem for high-temperature chaotic quantum systems, which facilitates the extraction of information on the Hilbert space dimension via measurements of the decay rate, and time-fluctuations

Ultra-Strong Optomechanics Incorporating the Dynamical Casimir Effect

We propose a superconducting circuit comprising a dc-SQUID with mechanically compliant arm embedded in a coplanar microwave cavity that realizes an optomechanical system with a degenerate or non-degenerate parametric interaction generated via the dynamical Casimir effect. For experimentally feasible parameters, this setup is capable of reaching the single-photon, ultra-strong coupling regime, while simultaneously possessing a parametric coupling strength approaching the renormalized cavity frequency. This opens up the possibility of observing the interplay between these two fundamental nonlinearities at the single-photon level.Comment: 7 pages, 1 figure, 1 tabl