in this paper we obtain a necessary and a sufficient condition for the set of ω_0-nearest points ( ω_0-farthest points) to be non-empty or a singleton set in normed linear spaces. we shall find a necessary and a sufficient condition for an uniquely remotal set to be a singleton set.

Position-controlled systems driving repetitive tasks are of significant importance in industrial machinery. The electric actuators used these responsible for a large part the global energy consumption, indicating that major savings can be made this field. In context, motion profile optimization is very cost-effective solution as it allows more energy-efficient machines without additional hardwa...

The continual improvement of 3D sensors has driven the development algorithms to perform point cloud analysis. In fact, techniques for classification and segmentation have in recent years achieved incredible performance part by leveraging large synthetic datasets. Unfortunately these same state-of-the-art approaches poorly when applied incomplete clouds. This limitation existing is particularly...