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Quantum Fields and Translations

Modifications of a free quantum field calculation using translation-related concepts and general translation representations yield quantum fields for massive particles that as a consequence follow the classical trajectories of electrodynamics and geometrodynamics. The work allows an explanation for the unexpectedly high energy of cosmic rays. The explanation can be tested at the Large Hadron Co...

Similarity Logic And Translations

A similarity-based fuzzy logic was proposed by M.S.Ying in [10] and successively investigated in [2]. The basic idea is that we can make ”approximate” reasoning by allowing an inference rule to work also in the case the antecedent clauses match only approximately previously proven formulas. Some tentative to applying such an idea to logic programming was proposed in [1], [6] and [7]. In this no...

Infinite-dimensional versions of the primary, cyclic and Jordan decompositions

The famous primary and cyclic decomposition theorems along with the tightly related rational and Jordan canonical forms are extended to linear spaces of infinite dimensions with counterexamples showing the scope of extensions.

Integrity Constraints and Versions

In this paper, the extension of integrity constraint mechanisms in order to maintain consistency in multiversion databases is studied. Unlike monoversion databases, a multiversion database represents several states of the modeled universe. Thus, both the notion of consistency and the means to maintain it have to be extended. This goal requires studying new integrity constraints induced by versi...