Presents and discusses implications of a set of measures of information. Definitions of relevant terms, including fact, data, representation, information, and knowledge, are given; four levels of processing data are explained (i.e., data transfer, data selection, data analysis, and data reduction); and relationships between information and…

Describes an information retrieval methodology based on relevance weighting of search terms in pairs of documents. The vector space model of information retrieval is reviewed, the Bayesian model of text retrieval is discussed, and an automatic implementation of weight estimation using the Medline database is described. (16 references) (LRW)

Reviews the literature on Bradford's law (i.e., an empirical relationship describing the distribution of scholarly articles in relevant journals). A model for the distribution of articles, based on random partitioning, is presented; and a mathematical formulation for a law of scattering is derived. The relationship of the model to Bradford's law…

Presents an interpolation methodology that duplicates and improves the results of mathematical functional relationships useful for designing business enterprise simulations and argues that interpolation is effective over the entire range of production and sales activity. (six references) (EA)

Develops the formulas for the sum of the numbers from 1 to n and for the squares of the numbers from 1 to n geometrically by utilizing the formulas for the area of a triangle and the volume of a pyramid. (MDH)

"Composition analysis" refers to the mathematics of how component measures combine to produce composite measures based on Bookstein's functions. Composition analysis is applied to the different ways group members might work together such that their individual measures can be combined mathematically to calculate an expected measure for…

Introduces a new generalization of inner product measures which removes the aesthetic deficiencies in previous research. Discusses linear similarity measures; proves the existence theorem for acceptable ranking functions in the case of a linear measure; and defines asymptotic inner product measures. (AEF)

Discusses the adoption of the pinyin Romanization standard over Wade-Giles and considers the impact on retrieval in online library catalogs. Describes an investigation that tested three factors that could influence retrieval efficiency: the number of usable syllables, the average number of letters per syllable, and users' familiarity with the…

Discusses information retrieval and the use of binary trees as a fast access method for search strategies such as hashing. Proposes new methods based on compact binary trees that provide faster access and more compact storage, explains the theoretical basis, and confirms the validity of the methods through empirical observations. (LRW)

Examines various kinds of uncertainty in information science. The notion of ambiguity is defined and contrasted with the more familiar notions of randomness and vagueness. Functional forms resistant to ambiguity are defined, and it is shown how to incorporate a random component, that is itself also resistant to ambiguity, into a resilient, but…

An inventory replenishment policy is developed for a deteriorating item and price-dependent demand. The rate of deterioration is taken to be time-proportional and the time to deterioration is assumed to follow a two-parameter Weibull distribution. A power law form of the price dependence of demand is considered. The model is solved analytically…

Body composition measurements vary greatly in degree of measurement difficulty and accuracy. Hydrostatic weighing, chemical dilution or their equivalents were the accepted "gold" standards for assessing fat mass. Dual Energy X-ray Absorptiometry (DEXA) is fast replacing these techniques as the preferred standard. However, these direct measurement…

Almost all modern rotation of factor loadings is based on optimizing a criterion, for example, the quartimax criterion for quartimax rotation. Recent advancements in numerical methods have led to general orthogonal and oblique algorithms for optimizing essentially any rotation criterion. All that is required for a specific application is a…

The students in molecular spectroscopy courses are often required to determine the permitted normal vibrations for linear molecules that belong to particular groups. The reducible group representations generated by the use of Cartesian coordinates can be reduced by the use of a simple algebraic process applied to the group representations. The…

Modeling data behavior is differentiated from statistically determining a best-fit regression function, as it allows students to develop functions that hold certain attributes in respect to a set of data. Three techniques for developing polynomial models are demonstrated that afford students optional methods for determining appropriate polynomial…