Explicit expressions for the occupation time distribution of Brownian bridge, excursion and meander are derived using Kac’s formula and results of [4]. The first two distributions appeared in [8], and were derived using weak convergence of simple random walk.

A general reduced dimensionality finite field nuclear relaxation method for calculating vibrational nonlinear optical properties of molecules with large contributions due to anharmonic motions is introduced. In an initial application to the umbrella (inversion) motion of NH(3) it is found that difficulties associated with a conventional single well treatment are overcome and that the particular...

Introduction: One of the most common syndromes in Parkinson's disease (PD) is rigidity. Currently, an index is used to evaluate the level of PD by the clinical measurement of rigidity in the upper extremity. The index uses a subjective method called Unified Parkinson's Disease Rating System (UPDRS). The subjective nature of this method makes the influence of physician in the measurement of rigi...

Markerless motion capture system and X-ray fluoroscopy as two markerless measurement systems were introduced to the application method in sports biomechanical areas. An overview of technological process, data accuracy, suggested movements, recommended body parts explained. The consists four parts: camera, model, image feature, algorithms. Even though seems promising, it is not yet known whether...