We consider isotropic non lower semicontinuous weighted perimeter functionals defined on partitions of domains in R. Besides identifying a condition on the structure of the domain which ensures the existence of minimizing configurations, we describe the structure of such minima, as well as their regularity.

BACKGROUND Prevention of slipping accidents requires provision of adequate friction through the use of suitable combinations of footwear and underfoot surfaces. Shoe sole tread groove is one of the important factors on friction coefficient during walking. OBJECTIVE To measure the effect of different shoe sole tread groove depths and different surfaces on the required quotient of friction (Q),...

Recently, on-line adaptation of binary classifiers for tracking have been investigated. On-line learning allows for simple classifiers since only the current view of the object from its surrounding background needs to be discriminiated. However, on-line adaption faces one key problem: Each update of the tracker may introduce an error which, finally, can lead to tracking failure (drifting). The ...

Evaporation from surface water plays a crucial role in accounting of basins, resource management, and irrigation systems management. As such, the simulation evaporation with high accuracy is very important. In this study, two methods for simulating pan under different climatic conditions Iran were developed. first method, six experimental relationships (linear, quadratic, cubic, input combinati...