Reasoning about RoboCup soccer narratives
Hannaneh Hajishirzi, Julia Hockenmaier, et al.
UAI 2011
This paper is concerned with Bernstein polynomials on k-simploids by which we mean a cross product of k lower dimensional simplices. Specifically, we show that if the Bernstein polynomials of a given function f on a k-simploid form a decreasing sequence then f +l, where l is any corresponding tensor product of affine functions, achieves its maximum on the boundary of the k-simploid. This extends recent results in [1] for bivariate Bernstein polynomials on triangles. Unlike the approach used in [1] our approach is based on semigroup techniques and the maximum principle for second order elliptic operators. Furthermore, we derive analogous results for cube spline surfaces. © 1990 Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A.
Hannaneh Hajishirzi, Julia Hockenmaier, et al.
UAI 2011
A. Gupta, R. Gross, et al.
SPIE Advances in Semiconductors and Superconductors 1990
Michael E. Henderson
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
D.S. Turaga, K. Ratakonda, et al.
SCC 2006