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The assignment of prime numbers to the branches of directed or non-directed nets, enables one to construct transition matrices in a numerical, rather than a symbolic, form. The numerical form greatly facilitates the construction of higher-order transition matrices, needed for the topological...
This paper reports on a novel technique for literature indexing and searching in a mechanized library system. The notion of relevance is taken as the key concept in the theory of information retrieval and a comparative concept of relevance is explicated in terms of the theory of probability. The...
One of the outstanding problems in the theory of time series analysis is the distribution problem in spectral analysis for small samples. When the number of observations is sufficiently large for the Central Limit Theorem to be applicable, the normal approximation can be used to advantage. In...
A number of papers have been written from time to time about logical counters of a certain type which have quite simple logic and have been variously referred to as Binary Ring Counters, Shift Register Counters, Johnson Counters, etc. To my knowledge, most of these papers confine themselves to...
The consistency of precedence matrices is studied in the very natural geometric setting of the theory of directed graphs. An elegant recent procedure (Marimont 7) for checking consistency is further justified by means of a graphical lemma. In addition, the “direction of future work” mentioned...
The hope that mathematical methods employed in the investigation of formal logic would lead to purely computational methods for obtaining mathematical theorems goes back to Leibniz and has been revived by Peano around the turn of the century and by Hilbert's school in the 1920's. Hilbert, noting...
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