This paper considers extremal systems of points on the unit sphere Sr Rr+1, related problems of numerical integration and geometrical properties of extremal systems. Extremal sys...
A generalized p-cycle is a digraph whose set of vertices can be partitioned into p parts that are cyclically ordered in such a way that the vertices in one part are adjacent only ...
Abstract— Computing a motion that enables a mobile manipulator to open a door is challenging because it requires tight coordination between the motions of the arm and the base. H...
A set XN of N points on the unit sphere is a spherical t-design if the average value of any polynomial of degree at most t over XN is equal to the average value of the polynomial o...
Congpei An, Xiaojun Chen, Ian H. Sloan, Robert S. ...
In this work we design a general method for proving moment inequalities for polynomials of independent random variables. Our method works for a wide range of random variables incl...