We investigate the complexity of three successive astronomical paradigms in the science of Physics, namely the Ptolemaic paradigm, the Copernican paradigm, and the Keplerian paradigm, and mention briefly some characteristic facts about the colossal Newtonian paradigm. This complexity can be understood according to five criteria, as proposed by Thomas Kuhn, the father of the epistemological noti...

This paper discusses a new family of bounds for use in similarity search, related to those used in metric indexing, but based on Ptolemy’s inequality, rather than the metric axioms. Ptolemy’s inequality holds for the well-known Euclidean distance, but is also shown here to hold for quadratic form metrics in general. In addition, the square root of any metric is Ptolemaic, which means that the p...

This year, Toward a Science of Consciousness will be held at the luxurious, eco friendly Loews Ventana Canyon Resort Hotel. An estimated 600 participants from around the world are expected for the program which will include Plenary and Keynote Talks, Concurrent Talks, Posters, Art Tech Health Demos, Exhibits, Social Events, Side Trips and Pre Conference Activities. The program is below; For fur...

We have presented an 2 ( ) O m time algorithm for locating the g-centroid for Ptolemaic graphs, where n is the number of edges and m is the number of vertices of the graph under consideration [6]. If the graph is sparse (i.e. = ( ) m O n ) then the algorithm presented will output the g-centroid in quadratic time. However, for several practical applications, the graph under consideration will be...