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Harter, Stephen P. – Journal of the American Society for Information Science, 1975
Confirms previously published research in concluding that specialty words tend to possess frequency distributions which cannot be described by a single Poisson distribution. (Author/PF)
Descriptors: Automatic Indexing, Indexing, Keywords, Mathematical Models

Harter, Stephen P. – Journal of the American Society for Information Science, 1975
A probabilistic model of keyword indexing is outlined, and some of the consequences of the model are examined. An algorithm defining a measure of indexability is developed--a measure intended to reflect the relative significance of words in documents. (Author)
Descriptors: Algorithms, Automatic Indexing, Indexing, Mathematical Models

Bookstein, Abraham; Swanson, Don R. – Journal of the American Society for Information Science, 1975
A model of word occurrences in documents is presented in the context of a model information system. (Author/PF)
Descriptors: Indexing, Information Retrieval, Information Systems, Mathematical Models

Chen, Ye-Sho; Leimkuhler, Ferdinand F. – Information Processing and Management, 1987
This analysis of Zipf's law uses an index for the sequence of observed values of the variables in a Zipf-type relationship. Three important properties relating rank, count, and frequency are identified, shapes of Zipf-type curves are described, and parameters of the Mandelbrot-Zipf law are discussed. (Author/LRW)
Descriptors: Indexing, Mathematical Models, Predictor Variables, Statistical Distributions

Bird, P. R. – Journal of Documentation, 1974
The indexing depth in several documentation systems is shown to have a mixed Poisson distribution. (PF)
Descriptors: Documentation, Indexing, Information Systems, Mathematical Models

Maron, M. E. – Journal of the American Society for Information Science, 1979
An analysis of the question of the optimal depth of indexing in order to design an effective document retrieval system is presented. It is shown that some more fundamental questions about indexing and retrieval rather than indexing depth are central to the issue. (Author/MBR)
Descriptors: Indexing, Information Retrieval, Information Systems, Mathematical Models

Meincke, Peter P. M.; Atherton, Pauline – Journal of the American Society for Information Science, 1976
Proposes a new conceptual basis for visualizing the organization of information, or knowledge, which differentiates between the concept "vectors" for a field of knowledge represented in a multidimensional space, and the state "vectors" for a person based on his understanding of these concepts, and the representational…
Descriptors: Classification, Conceptual Schemes, Indexing, Information Retrieval

Negoita, C. V. – International Journal of Man-Machine Studies, 1976
The IR systems are faced with a need to manage fuzziness and not merely to react to fuzziness. Fuzzy set theory can be used to model the indexing and retrieval processes. (BD)
Descriptors: Indexing, Mathematical Models, Relevance (Information Retrieval), Search Strategies

Buell, Duncan A.; Kraft, Donald H. – Journal of the American Society for Information Science, 1981
Analyzes the nature of Boolean information retrieval in relation to the discrete weights of query terms, examines assigned weights from an approach involving thresholds, and generates an evaluation mechanism which allows the user to attach a threshold to the query term. Thirteen references are listed. (FM)
Descriptors: Bibliographies, Evaluation Methods, Indexing, Information Retrieval

Kwok, K. L. – Journal of the American Society for Information Science, 1985
Introduces a new model of viewing documents based on citing-cited relationship between them. Using Bayes' decision theory, it is shown how source document may be indexed and weighted by relevant cited document features, corresponding to one pass relevance feedback Model 1 (probabilistic indexing) or Model 2 (probabilistic retrieval). (24…
Descriptors: Citations (References), Feedback, Indexing, Information Retrieval

Carifio, James – Evaluation Review, 1992
To solve an applied research problem with bipolar data, a set of equations was developed that combined all plus and minus data combinations into unique values and scale points. The equations were tested through computer simulations and empirical tests. Resulting index scores were approximately interval and linear and easy to use and interpret.…
Descriptors: Computer Simulation, Equations (Mathematics), Indexing, Mathematical Logic

Frei, H. P.; Stieger, D. – Information Processing & Management, 1995
Highlights semantic links and shows how the semantic content of hypertext links can be used for information retrieval. Discussion includes indexing and retrieval algorithms that exploit link content and node content; retrieval strategies exploiting semantic links, including conventional retrieval and constrained spreading activation techniques;…
Descriptors: Algorithms, Experiments, Graphs, Hypermedia
Sammon, John W., Jr. – 1968
This report explains the following mathematical techniques which may be used for relating search requests to documents contained in a library: (1) Boolean Algebraic Retrieval, (2) Linear Statistical Retrieval, (3) Statistical Association Techniques for expanding a query and/or for expanding the set of retrieval documents, (4) Vector Space…
Descriptors: Algebra, Indexing, Information Retrieval, Information Storage
De Heer, T. – Information Storage and Retrieval, 1974
Use of syntactic trace as an access strategy for large files containing arbitrary languages for which thesaurus-based and multiple attribute search techniques are unsuitable. (LS)
Descriptors: Indexing, Information Retrieval, Information Storage, Mathematical Models
Morse, Philip M. – 1971
Efficient search of items in a store of information, such as books in a library, abstracts of articles, information in a computer data bank or the like, requires that the items most closely connected in content be close together, in order that a person looking for some particular information may concentrate his search on as small a part of the…
Descriptors: Classification, Computer Storage Devices, Correlation, Indexing
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