AISC 2006, the 8th International Conference on Arti?cial Intelligence and S- bolic Computation, was held onthe campus ofBeihang University, China, in the golden autumn of 2006. On behalf of the Organizing Committee and Beihang University, Ihadthepleasuretowelcometheparticipantsofthis conference.The AISC series of specialized biennial conferences was founded in 1992 by Jacques Calmet and John Campbell with initial title aArti?cial Intelligence and S- bolic Mathematical Computinga (AISMC) and the previous seven conferences in this series were held in Karlsruhe (AISMC-1, 1992), Cambridge (AISMC-2, 1994), Steyr (AISMC-3, 1996), Plattsburgh, NY (AISC 1998), Madrid (AISC 2000), Marseille (AISC 2002), and Hagenberg, Austria (AISC 2004). Arti?cialintelligenceandsymboliccomputationaretwoviewsandapproaches for automating (mathematical) problem solving. They are based on heuristics and mathematical algorithmics, respectively, and each of them can be applied to the other. The AISC series of conferences has not only provided a lively forum for researchers to exchange ideas and views and to present work and new ?ndings, but has also stimulated the development of theoretical insights and results, practical methods and algorithms, and advanced tools of software technology and system design in the interaction of the two ?elds and research communities, meanwhile leading to a broad spectrum of applications by the combined problem solving power of the two ?elds.8th International Conference, AISC 2006, Beijing, China, September 20-22, 2006 , Proceedings Jaques Calmet, Tetsuo Ida, Dongming Wang ... 5.2 Apollonius Circle Problem The Apollonius circle problem is a classical GCS problem formulated by Apollonius of Perga in the third ... If the coordinates of the points are chosen as Oi(0, 0), Ti(l, 0), O2(0, l), T2(m4, x2), 03(m6, x4), T3(m5, x3), O(xu0), then theanbsp;...
|Title||:||Artificial Intelligence and Symbolic Computation|
|Author||:||Jaques Calmet, Tetsuo Ida, Dongming Wang|
|Publisher||:||Springer Science & Business Media - 2006-09-13|