The real and imaginary part of any Abelian differential on a compact Riemann surface define two flows on the underlying compact orientable C surface. Furthermore, these flows induce an interval exchange transformation on every transversal simple closed curve, via Poincaré recurrence. This note shows that the ordered K0groups of several Calgebras naturally associated to one of the flows resp. in...

In this paper, we treat symplectic difference equations with one degree of freedom. For such cases, we resolve the relation between that the dynamics on the two dimensional phase space is reduced to on one dimensional level sets by a conserved quantity and that the dynamics is integrable, under some assumptions. The process which we introduce is related to interval exchange transformations.

BACKGROUND Skin cancer is the most common malignant tumor in humans. Basal cell carcinoma (BCC) and squamous cell carcinoma (SCC) are the two most common types of skin cancers. When skin cancer is clinically suspected, preoperative biopsies are recommended for a definite diagnosis. However, despite a concern over potential increased risk of metastasis associated with mechanical manipulation, th...

The focus of this paper is to clarify the concepts of solutions of linear equations in interval, probabilistic, and fuzzy sets setting for real world tasks. There is a fundamental difference between formal definitions of the solutions and physically meaningful concepts of solution in applied tasks, when equations have uncertain components. For instance, a formal definition of the solution in te...

OBJECTIVES To assess outcomes after repair of enterocutaneous fistulae (ECF) and identify factors that predict mortality and recurrence. DESIGN Retrospective study. SETTING University hospital. PATIENTS One hundred thirty-five patients undergoing ECF repair between 1989 and 2005. MAIN OUTCOME MEASURES Mortality and recurrence of ECF. RESULTS Definitive operation for ECF was attempted ...

Bankfull discharge was identified in some 30 gravel-bed rivers representing in total c. 40 gauging stations. The catchment sizes vary from 4km2 to nearly 2700km2. Bankfull discharge value increases with basin size. In the case of gravel-bed rivers developed on an impermeable substratum, the following equation emerges: Qb=0·087 A 1·044. Bankfull discharge recurrence interval was determined by fi...

[1] The recurrence intervals for 194 repeating clusters on the Calaveras fault follow a power-law decay relation with elapsed time after the 1984 M6.2 Morgan Hill, California, mainshock. The decay rates of repeating aftershocks in the immediate vicinity of a high-slip patch that failed during the mainshock systematically exceed those that are farther away. The trend between relative moment and ...

BACKGROUND Viral warts are a common infectious disease and liquid nitrogen cryotherapy is one of the most common methods for treatment of these warts. Hand-foot viral warts frequently recur and reduce quality of life as well. OBJECTIVE To find the ideal treatment interval between cryotherapy sessions that can influence not only the cure rate but also the recurrence rate for hand-foot viral wa...

The majority of epithelial ovarian cancer, fallopian tube cancer and primary peritoneal adenocarcinoma (PPA) patients experience disease recurrence even though they receive standard treatment. The treatment outcome after recurrence depended on the interval time between the time to complete platinum-based chemotherapy until the time to replapse that we called a platinum-free interval. In patient...