Browsing by Author "Yen, HC"

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A note on integrability in matrix models
(1996-10-01)
Tu, MH
;
Shaw, JC
;
Yen, HC
;
應用數學系
;
Department of Applied Mathematics
Based on the bilinear relation approach, we show that the hermitian one-matrix model at finite N can be embedded into 1d Toda chain and (modified) KP hierarchy respectively with the same Wronskian-type tau function. We also point out that which hierarchy to take depends on the choice of the wave function for constructing the bilinear relation.
A note on integrability in matrix models
(1996-10-01)
Tu, MH
;
Shaw, JC
;
Yen, HC
;
應用數學系
;
Department of Applied Mathematics
Based on the bilinear relation approach, we show that the hermitian one-matrix model at finite N can be embedded into 1d Toda chain and (modified) KP hierarchy respectively with the same Wronskian-type tau function. We also point out that which hierarchy to take depends on the choice of the wave function for constructing the bilinear relation.
Drawing graphs with nonuniform nodes using potential fields
(2004)
Chuang, JH
;
Lin, CC
;
Yen, HC
;
資訊工程學系
;
Department of Computer Science
A potential field approach, coupled with force-directed methods, is proposed in this paper for drawing graphs with nonuniform nodes in 2-D and 3-D. In our framework, nonuniform nodes are uniformly or nonuniformly charged, while edges are modelled by springs. Using certain techniques developed in the field of potential-based path planning, we are able to find analytically tractable procedures for computing the repulsive force and torque of a node in the potential field induced by the remaining nodes. Our experimental results suggest this new approach to be promising, as drawings of good quality for a variety of graphs in 2-D and 3-D can be produced efficiently.