We introduce and analyze a new finite-difference scheme, relying on the theta-method, for solving monotone second-order mean field games. These games consist of coupled system Fokker–Planck Hamilton–Jacobi–Bellman equation. The theta-method is used discretizing diffusion terms: we approximate them with convex combination an implicit explicit term. On contrast, use centered scheme first-order te...

OBJECTIVES Our study discusses health related quality of life (HRQOL) as measured by 36-item Short Form (SF-36) for rural-to-urban migrants in China, and assesses the validity and reliability of the SF-36 for this group. METHODS In 2012,765 rural-to-urban migrant respondents chosen by probability and the non-probability sampling methods have completed the survey in Wuhan, Mid-China. The relia...

This paper presents a method of reducing the X-ray diffraction data collection time, while maintaining high data quality, suitable for Rietveld refinement. The approach taken here is that phases in general show peak broadening as well as a loss of intensity with increasing 2-theta. Thus, by splitting the full analyzed 2-theta range into regions and adjusting the step-size and counting time to a...

OBJECTIVE To assess plantarflexion moment and hip joint moment after-effects following walking on a split-belt treadmill in healthy individuals and individuals post-stroke. DESIGN Cross-sectional study. SUBJECTS Ten healthy individuals (mean age 57.6 years (standard deviation; SD 17.2)) and twenty individuals post-stroke (mean age 49.3 years (SD 13.2)). METHODS Participants walked on an i...

In this paper, we show a general way to interpret the infrastructure of a global field of arbitrary unit rank. This interpretation generalizes the prior concepts of the giant-step operation and f -representations, and makes it possible to relate the infrastructure to the (Arakelov) divisor class group of the global field. In the case of global function fields, we present results that establish ...

Enhanced coupled-nonlinear equations are introduced for full compensation of cross-phase modulation and partial compensation of four-wave mixing (FWM) via split-step digital backward propagation. Compared to full FWM compensation, the new backward propagation equations provide a significant reduction in the number of steps required in the split-step method. This increased step size together wit...

We discuss the nonabelian world-volume action which governs the dynamics of N coincident Dp-branes. In this theory, the branes’ transverse displacements are described by matrix-valued scalar fields, and so this is a natural physical framework for the appearance of noncommutative geometry. One example is the dielectric effect by which Dp-branes may be polarized into a noncommutative geometry by ...