6 papers
A General Theory of Concept Lattice (II): Tractable Lattice Construction and Implication Extraction
Tsong-Ming Liaw, Simon C. Lin
As the second part of the treatise 'A General Theory of Concept Lattice', this paper speaks of the tractability of the general concept lattice for both its lattice structure and lo…
A General Theory of Concept Lattice (I): Emergence of General Concept Lattice
Tsong-Ming Liaw, Simon C. Lin
As the first part of the treatise on A General Theory of Concept Lattice (I-V), this work develops the general concept lattice for the problem concerning categorization of objects…
Probing Hamiltonian field redefinition on the nontrivial conformal algebra
Simon C. Lin, Feng Yin Li, Tsong Ming Liaw
The compatibility between the conformal symmetry and the closure of conformal algebras is discussed on the nonlinear sigma model. The present approach, above the basis of field red…
Exact treatment of Ising model on the helical tori
Tsong-Ming Liaw, Ming-Chang Huang, Yen-Liang Chou +2
The exact closed forms of the partition functions of 2D Ising model on square lattices with twisted boundary conditions are given. The constructions of helical tori are unambiguous…
Critical gaps of first-order phase transition in infinitely long Ising cylinders with antiperiodically joined circumference
Tsong-Ming Liaw, Ming-Chang Huang, Simon C. Lin +1
Based on the analytic expression of free energy for infinitely long Ising strip with finite width joined antiperiodically on a variety of planar lattices, we show the existence of…
Finite-size scaling of partition function zeros and first-order phase transition for infinitely long Ising cylinder
Ming-Chang Huang, Tsong-Ming Liaw, Yu-Pin Luo +1
The critical properties of an infinitely long Ising strip with finite width L joined periodically or antiperiodically are investigated by analyzing the distribution of partition fu…