Keh-Hsun Chen

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2 This paper intends to provide an analytical overview of the research performed in the domain of computer Go. Domain knowledge that is essential to Go-playing programs is identified. Various computation and search techniques that can be used effectively to obtain helpful domain knowledge are presented. Four different move-decision paradigms applied by(More)
We present algorithms for searching and generating solutions to the equation x<sub>1</sub><sup>2</sup>+x<sub>2</sub><sup>2</sup>+ ...+x<sub>n</sub><sup>2</sup> = kx<sub>1</sub>x<sub>2</sub>...x<sub>n</sub>. Solutions are reported for n = 2, 3,..., 9. Properties of solutions are discussed. We can prove that the solutions do not exist when n=4 and k=2 or 3,(More)
In the more than 100 years since Markoff-Hurwitz Equations, they play a decisive role, have turned up in an astounding variety of different settings, from number theory to combinatorics, from classical groups and geometry to the world of graphs, from discrete mathematics to scientific computation. We will first introduce other people's work in this area.(More)
In our &#x0022;Unsolved Problems in Computational Science&#x0022;, we will talk about some interesting open problems in computational science. These problems are related to number theory, geometry theory, combinatorics, graph theory, linear algebra and group theory. They are easy to state and understand although they are very difficult to be solved by(More)