yongming li

We present a topological characterization for fuzzy regular languages: we show that there is a bijective correspondence between fuzzy regular languages
and the set of all clopen fuzzy subsets with finite image in the induced fuzzy topological space of Stone space (Profinite space), and then we give a representation of closed fuzzy subsets in the induced fuzzy topological space via fuzzy regular languages.
Moreover, we prove that the induced fuzzy topological space has a basis consisting of leveled characteristic functions of the closure of cut languages of fuzzy regular languages.

Mechanical force is not the only means to cause tooth movement, but just one kind of stimuli for it. Biological stimuli, with potential of accelerating alveolar bone remodeling, other than mechanical force, have been attracted by orthodontists who are combating prolonged treatment duration. It has been approved that some traditional Chinese medicines, such as Gu-Sui-Bu (Rhizoma Drynaria), affect the process of bone remodeling. The Hypothesis: We make the hypothesis that local use of iontophoresis with Gu-Sui-Bu (Rhizoma Drynaria) as a non-invasive and safe drug delivery system with no trauma, risk of infection or damage to patients is a new potential approach for accelerating orthodontic tooth movement, and shorten the orthodontic treatment time. Evaluation of the Hypothesis: Gu-Sui-Bu is effective at inducing bone remodeling, and iontophoresis as a non-invasive technique for drug delivery, is suitable for the transmission of some traditional Chinese herbal medicines into periodontal tissues.