the trajectory planning, which is known as a movement from starting to end point by satisfying the constraints along the path is an essential part of robot motion planning. a common way to create trajectories is to deal with polynomials which have independent coefficients. this paper presents a trajectory formulation as well as a procedure to arrange the suitable trajectories for applications. ...

The pool adjacent violators (PAV) algorithm is an efficient technique for the class of isotonic regression problems with complete ordering. The algorithm yields a stepwise isotonic estimate which approximates the function and assigns maximum likelihood to the data. However, if one has reasons to believe that the data were generated by a continuous function, a smoother estimate may provide a bet...

Swellable elastomers are used to seal flow channels in oilfield operations. After sealing, the elastomers are constrained triaxially, and a contact load builds up between the elastomers and surrounding rigid materials. For these applications, the ability to predict the evolution of the contact load is important. This work introduces an experimental setup to measure the contact load as a functio...

In this paper, we consider characterizations based on the Bhattacharyya matrices. We characterize, under certain constraint, dis tributions such as normal, compound poisson and gamma via the diago nality of the 2 X 2 Bhattacharyya matrix.