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By Geoffrey J. McLachlan, Shu-Kay Ng, K. Wang (auth.), Francesco Palumbo, Carlo Natale Lauro, Michael J. Greenacre (eds.)

The quantity presents effects from the most recent methodological advancements in info research and category and highlights new rising topics in the box. It includes articles approximately statistical types, class, cluster research, multidimensional scaling, multivariate research, latent variables, wisdom extraction from temporal info, monetary and financial purposes, and lacking values. Papers disguise either theoretical and empirical aspects.

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Extra info for Data Analysis and Classification: Proceedings of the 6th Conference of the Classification and Data Analysis Group of the Società Italiana di Statistica

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Considering an odd integer and an integer s, the probability that a composite number is considered to be prime is less than 2s . Empirical evidence shows that the probability that a composite number is found to be prime is actually, in the long term, less than that indicated. There have been shown to exist only 21; 253 composite numbers in base 2 which are inferior to 25 billion and which satisfy Fermat’s Little Theorem. These are called pseudo-primes. modn/. The problems of factorizing a number and of determining if a number is prime are by their nature diverse.

In Sect. 3 the features of the proposed method are defined. Finally in Sect. 4 an example of application is proposed and some conclusive remarks for future works are reported. 2 Conditional Intensity Function of the Clustering Procedure A seismic catalogue, assumed as realization of a space–time point process, contains information about seismic events occurred in a region, in a given time interval. i D 1; : : : ; n/. In this paper the depth z will not be considered, since the high level of its measurement error.

This happened, and is happening in the efforts to find the largest known prime to which some universities devote massive calculation resources for many years as occurred with the confirmation of the famous theorem of four colors in postal zones at the University of Illinois and the proof that the 23rd Mersenne number is prime. When speaking of research in prime numbers reference is often made to possible applications in cryptography and in particular cryptographic systems with an RSA public key.

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