Branching space-time analysis of the GHZ theorem

Greenberger. Horne. Shimony, and Zeilinger gave a new version of the Bell theorem without using inequalities (probabilities). Mermin summarized it concisely; but Bohm and Hiley criticized Mermin's proof from contextualists' point of view. Using the branching space-time language, in this paper a proof will be given that is free of these difficulties. At the same time we will also clarify the limits of the validity of the theorem when it is taken as a proof that quantum mechanics is not compatible with a deterministic world nor with a world that permits correlated space-related events without a common cause.Supported by OTKA Foundation. Nos. T-015606 and T-017176.     

Effect of processing and particulate fillers on the rheology of a nematic polymer melt

Processing of a nematic HBA/HNA polymer melt increases the capillary diameter dependence of the viscosity and induces structural changes which are evident in oscillatory shear, but cannot be characterized by DSC. The effect of 6-m calcium carbonate particulate fillers is to increase the viscosity uniformly. Low concentrations of sub-micron carbon black particles cause an unexplained viscosity minimum in a large (30-mil) capillary.     

General methodology for the chemoselective N-alkylation of (2,2,6,6)-tetramethylpiperidin-4-ol: Contribution of microwave irradiation

A convenient method to access a broad variety of N-alkyl-(2,2,6,6)-tetramethylpiperidin-4-ol compounds is reported. The thermal treatment of a mixture of (2,2,6,6)-tetramethylpiperidin-4-ol and allyl or benzyl bromide derivatives gave the corresponding N–alkylated compounds in good yields while leaving the hydroxyl functional group intact. Whereas 40?h were needed to reach complete conversion, microwave irradiation allowed the reaction time to be reduced (20?min) and improved the yields in most cases.     

Moments of the Count of a Regular Expression in a Heterogeneous Random Sequence

Methodology and Computing in Applied Probability - We focus here on the distribution of the random count N of a regular expression in a multi-state random sequence generated by a heterogenous...     

Duality Between the Local Score of One Sequence and Constrained Hidden Markov Model

Methodology and Computing in Applied Probability - We are interested here in a theoretical and practical approach for detecting atypical segments in a multi-state sequence. We prove in this article...