Using exact solutions, we show that it is in principle possible to regard waves and particles as representations of the same underlying geometry, thereby resolving the problem of wave-particle duality. Scheduled to appear in Vol. 38, May 2006, of J. Gen. Rel. and Grav. Correspondence: Mail to address above, fax=(519)746-8115

Given a nonlinear function h separating a convex and a concave function, we provide various conditions under which there exists an affine separating function whose graph is somewhere almost parallel to the graph of h. Such results blend Fenchel duality with a variational principle and are closely related to the Clarke–Ledyaev mean value inequality.

This is a continuation of our accompanying paper [18]. We provide an alternative proof of the monotonicity principle for the optimal Skorokhod embedding problem established in Beiglböck, Cox and Huesmann [2]. Our proof is based on the adaptation of the Monge-Kantorovich duality in our context, a delicate application of the optional cross-section theorem, and a clever conditioning argument intro...

Minimax Weighted Constraint Satisfaction Problems (formerly called QWCSPs) are a framework for modeling soft constrained problems with adversarial conditions. In this paper, we describe novel definitions and implementations of node, arc and full directional arc consistency notions to help reduce search space on top of the basic tree search with alpha-beta pruning for solving ultraweak solutions...

The main objective of this article is to explore the duality of strong interaction based on a new field equations of strong interaction. The field equations are derived by applying the principle of interaction dynamics (PID) and principle of representation invariance (PRI) to a standard QCD SU(3) gauge action functional. Intuitively, PID amounts to taking the variation of the action functional ...