This paper continues my work of [9], which showed there was a broad family many valued logics that have strict/tolerant counterpart. Here we consider generalization weak Kleene three logic, instead the strong version background for earlier work. We explain intuition behind generalization, then determine subclass structures in logic produces same results did. provides much background, but...

Here, we extend the weak KAM and Aubry-Mather theories to optimal switching problems. We consider three issues: the analysis of the calculus of variations problem, the study of a generalized weak KAM theorem for solutions of weakly coupled systems of Hamilton-Jacobi equations, and the long-time behavior of time-dependent systems. We prove the existence and regularity of action minimizers, obtai...

Electroweak unification is implied by the local structure theorem of distribution theory applied to the causal interval R = X − Z between two space-time points X and Z . Taking R as generating function, the potentials of the electromagnetic and weak interactions are obtained by applying the causal d’Alembertian operator onR, and both potentials can be given a proper physical interpretation prov...

m-dependent stationary infinitely divisible sequences are characterized as a certain generalized finite moving average sequence or equivalently via the structure of their Lévy measure. This characterization is used to find necessary and sufficient conditions for the weak convergence of centered and normalized partial sums of m-dependent stationary infinitely divisible sequences. Partial sum con...

A class of kicked rotors is introduced, exhibiting accelerator-mode islands (AIs) and global superdiffusion for arbitrarily weak chaos. The corresponding standard maps are shown to be exactly related to generalized web maps taken modulo an "oblique cylinder." Then, in a case that the web-map orbit structure is periodic in the phase plane, the AIs are essentially normal web islands folded back i...

A generalization of the description of a quantum system in the time interval between two measurements is presented. A new concept of a generalized state is introduced. Generalized states yield a complete description of a quantum system when information about the system is available both from the past snd from the future. The formalism of generalized states provides a natural language for descri...