This paper concerns with a product of circles induced by the quaternionic product considered in a projective manner. Several properties of this composition law are derived and on this way we arrive at some special numbers as roots or powers of unit. We extend this product to cycles as oriented circles and to pairs of circles by using the algebra of octonions. Three applications of the given pro...

Providing an environment for electronic commerce involves complex, technical questions that need to be addressed and understood by decision making bodies. This paper studies one attempt to support electronic commerce at the national level. It looks at the Regulation of Investigatory Powers Bill in the UK and focuses on the political actions of those seeking to amend the Bill in Parliament. Afte...

In this article, we provide an overview of three humanoid soccer platforms currently in use at RoboCup: 3D simulation, the humanoid Standard Platform League (SPL), and the Webots-based simulator released with the SPL. Although these platforms trace different historical roots, today they share the same robot model, the Aldebaran Nao. Consequently, they face a similar set of challenges, primary a...

The UT Austin Villa 2003 simulated online soccer coach was a first time entry in the RoboCup Coach Competition. In developing the coach, the main research focus was placed on treating advice-giving as a machine learning problem. Competing against a field of mostly handcoded coaches, the UT Austin Villa coach earned first place in the competition. In this paper, we present the multi-faceted lear...

The flurry of regulatory activity by the outgoing administration of President George W. Bush has raised, once again, the specter of midnight regulation. In contrast to the late-term action of the Clinton Administration, much of the Bush Administration‘s late-term action seems to have been more deregulatory than regulatory, but from a political and legal standpoint, that distinction may not make...

This piece considers the implications of Brexit process for United Kingdom's territorial constitution. It advances two narratives devolutionary settlement; one which emphasises continuing post-devolution influence – and dominance institutions UK-level government, other regards devolution as having engineered a quasi-federal division powers diluted sovereignty Westminster Parliament via expressi...

We analyze the asymptotically free massless scalar $\phi^3$ quantum field theory in 6 dimensions, using resurgent asymptotic analysis to find trans-series solutions which yield non-perturbative completion of divergent perturbative Kreimer-Connes Hopf-algebraic Dyson-Schwinger equations for anomalous dimension. This conformal is and has a real Lipatov instanton. In approach we having an intricat...