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Peer reviewedZanger, Daniel Z. – Information Processing & Management, 2002
Presents an interpolation theorem for an extended Boolean information retrieval model. Results show that whenever two or more documents are similarly ranked at any two points for a query containing exactly two terms, then they are similarly ranked at all points in between; and that results can fail for queries with more than two terms. (Author/LRW)
Descriptors: Information Retrieval, Mathematical Formulas, Models
Purohit, D.; Chaudhuri, K. S. – International Journal of Mathematical Education in Science and Technology, 2004
A bioeconomic model is developed for the selective harvesting of a single species, inshore-offshore fishery, assuming that the growth of the species is governed by the Gompertz law. The dynamical system governing the fishery is studied in depth; the local and global stability of its non-trivial steady state are examined. Existence of a bionomic…
Descriptors: Animal Husbandry, Models, Mathematical Formulas
Appreciating Formal Similarities in the Kinetics of Homogeneous, Heterogeneous, and Enzyme Catalysis
Ashby, Michael T. – Journal of Chemical Education, 2007
Because interest in catalysts is widespread, the kinetics of catalytic reactions have been investigated by widely diverse groups of individuals, including chemists, engineers, and biologists. This has lead to redundancy in theories, particularly with regard to the topics of homogeneous, heterogeneous, and enzyme catalysis. From a pedagogical…
Descriptors: Kinetics, Biochemistry, Biology, Interdisciplinary Approach
Peer reviewedLam, Wai; Mostafa, Javed – Journal of the American Society for Information Science and Technology, 2001
Investigates the modeling of changes in user interest in information filtering systems and develops a new technique for tracking user interest shifts based on a Bayesian approach. Presents an analytical study to establish the rate of convergence for a profile learning module with and without the user interest tracking component. (Author/LRW)
Descriptors: Information Retrieval, Learning Modules, Mathematical Formulas, Models
Peer reviewedBurrell, Quentin L. – Journal of the American Society for Information Science and Technology, 2002
A recently proposed stochastic model to describe the citation process in the presence of obsolescence is used to answer the question: If a paper has not been cited by a certain time after its publication, what is the probability that it will ever be cited? A proof of the theorem is appended. (Author/LRW)
Descriptors: Citations (References), Mathematical Formulas, Models, Obsolescence
Hedges, Larry V. – Journal of Educational and Behavioral Statistics, 2007
A common mistake in analysis of cluster randomized trials is to ignore the effect of clustering and analyze the data as if each treatment group were a simple random sample. This typically leads to an overstatement of the precision of results and anticonservative conclusions about precision and statistical significance of treatment effects. This…
Descriptors: Statistical Significance, Computation, Cluster Grouping, Statistics
Peer reviewedTague, Jean – Journal of the American Society for Information Science, 1981
Describes success-breeds-success phenomenon by single and multiple-urn models, and shows that these models lead to a negative binomial distribution for the total number of successes and to a Zipf-Mandelbrot law for the number of sources contributing a specified number of successes. Ten references are cited. (FM)
Descriptors: Bibliographies, Citations (References), Mathematical Formulas, Models
Peer reviewedHoenkamp, Eduard – Journal of the American Society for Information Science and Technology, 2003
Discusses latent semantic indexing (LSI) that would allow search engines to reduce the dimension of the document space by mapping it into a space spanned by conceptual indices. Topics include vector space models; singular value decomposition (SVD); unitary operators; the Haar transform; and new algorithms. (Author/LRW)
Descriptors: Algorithms, Information Retrieval, Mathematical Formulas, Models
Ibraev, Ulukbek; Ng, Kwong Bor; Kantor, Paul B. – Proceedings of the ASIST Annual Meeting, 2002
Explores aspects of data fusion (DF) for information retrieval (IR) using a set of data from the Fifth International Conference on Text Retrieval (TREC5). Derives an equation for effective DF based on a geometric model and shows that the performance of a pair of IR schemes may be approximated by a quadratic polynomial. (Author/LRW)
Descriptors: Data Processing, Geometry, Information Retrieval, Mathematical Formulas
Peer reviewedChen, Oscal T.-C.; And Others – Information Processing and Management, 1992
Describes a modified frequency-sensitive self-organization (FSO) algorithm for image data compression and the associated VLSI architecture. Topics discussed include vector quantization; VLSI neural processor architecture; detailed circuit implementation; and a neural network vector quantization prototype chip. Examples of images using the FSO…
Descriptors: Algorithms, Coding, Information Processing, Mathematical Formulas
Peer reviewedDominich, Sandor – Journal of Documentation, 1994
Discussion of information retrieval focuses on an Interaction Information Retrieval model in which documents are interconnected; queries and documents are treated in the same way; and retrieval is the result of the interconnection between query and documents. A theoretical mathematical formulation of this type of retrieval is given. (Contains 31…
Descriptors: Algorithms, Documentation, Information Retrieval, Interaction
Peer reviewedGold, Steven C. – Simulation & Gaming, 1993
Discussion of the interpolation methodology expounded by Goosen and Kusel to model business functions for simulation design criticizes the approach's simplicity because interactive effects between variables in the functional relationships are not considered. (six references) (EA)
Descriptors: Business, Economic Factors, Marketing, Mathematical Formulas
Peer reviewedDominich, Sandor – Journal of the American Society for Information Science, 2000
Presents a unified mathematical definition for the classical models of information retrieval and identifies a mathematical structure behind relevance feedback. Highlights include vector information retrieval; probabilistic information retrieval; and similarity information retrieval. (Contains 118 references.) (Author/LRW)
Descriptors: Information Retrieval, Mathematical Formulas, Models, Relevance (Information Retrieval)
Peer reviewedLe Calve, Anne; Savoy, Jacques – Information Processing & Management, 2000
Presents a new model for combining multiple sources of evidence in database merging based on logistic regression, and occurring only when ranks are available as a key to be used to merge different ranked lists obtained by various retrieval schemes. Results indicate better retrieval effectiveness than other approaches. (LRW)
Descriptors: Databases, Information Retrieval, Mathematical Formulas, Models
Peer reviewedAgrawal, Divyakant; El Abbadi, Amr – Information Systems, 1995
Proposes a new lock primitive called ordered sharing that allows increased concurrency in database systems. Reliability and performance issues of the proposed protocol are addressed, a simulation study that demonstrates that ordered sharing results in improved performance in database systems is described; and use in several representative database…
Descriptors: Databases, Mathematical Formulas, Models, Performance

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