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Lipovetsky, Stan – International Journal of Mathematical Education in Science and Technology, 2008
Benford's law of the "first digits" states that in spite of intuitively expected equal frequency of 1/9 of the decimal digits r = 1, ... , 9 appearance on the first place of any number, various empirical studies show another pattern of these frequencies distribution, which is log[subscript 10](1 + 1/r). The article considers this law and other…
Descriptors: Decision Making, Statistical Distributions, Mathematical Formulas, Matrices
Peer reviewedBookstein, Abraham; Klein, Shmuel T. – Information Processing and Management, 1992
Presents new methods for compressing bit matrices in large information retrieval systems which exploit possible correlations between rows of words and columns of documents. Three encoding methods are tested and compared--Shannon-Fano, arithmetic, and Huffman--and an appendix discusses binomial coefficients. (20 references) (LRW)
Descriptors: Coding, Comparative Analysis, Correlation, Information Processing
Peer reviewedDoreian, Patrick – Information Processing and Management, 1994
Discusses the use of citation networks for constructing measures of the relative standing of journals in scientific journal-to-journal networks. Topics addressed include eigenvectors; measuring the standing of national scientific communities; and an empirical comparison of two measures of standing, one considering the environment and one without…
Descriptors: Citation Analysis, Comparative Analysis, Environment, Mathematical Formulas
Peer reviewedQiu, Liwen – Journal of the American Society for Information Science, 1993
Describes research that was conducted to determine the search state patterns through which users retrieve information in hypertext systems. Use of the Markov model to describe users' search behavior is discussed, and search patterns of different user groups were studied by comparing transition probability matrices. (Contains 25 references.) (LRW)
Descriptors: Comparative Analysis, Higher Education, Hypermedia, Information Retrieval

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