Presented is a derivation for the matrix representation of an arbitrary boost, a Lorentz transformation without rotation, suitable for undergraduate students with modest backgrounds in mathematics and relativity. The derivation uses standard vector and matrix techniques along with the well-known form for a special Lorentz transformation. (BT)

Using covarient harmonic oscillator formalism as an illustrative example, a method is proposed for illustrating the difference between the Poincare (inhomogeneous Lorentz) and homogeneous Lorentz groups. (BT)

Basic algebraic formulas for calculating research program budgets are explained, using time-tested examples of cost-sharing, fringe benefit, and indirect cost calculation. The method is suggested as a tool for teaching both novice research administrators and researchers. (MSE)

Presents a detailed procedure for finding an empirical formula from ion exchange chromatography and colorimetry. Introduces students to more varied techniques including volumetric manipulation, titration, ion-exchange, preparation of a calibration curve, and the use of colorimetry. (JRH)

Describes how to use homemade tiles, sketches, and the box method to reach a broader group of students for successful algebra learning. Provides a list of concepts appropriate for such an approach. (KHR)

Discusses ranking techniques for document retrieval and proposes an evaluation, or filtering, technique that reduces costs and memory usage by early recognition of which documents are likely to be highly ranked. Highlights include index design, ranked query evaluation, reducing the number of accumulators, inverted file structures, and experimental…

This discussion of multiple criteria decision making (MCDM) focuses on an integrated system called MOLP/PC for learning MCDM tools for real world decision making. Results of an empirical test to measure the effectiveness of MOLP/PC are discussed, and the use of MOLP/PC for college courses in Singapore and Australia is described. (Author/LRW)

Discussion of information retrieval and relevance focuses on mutual information, a measure which represents the relation between two words. A model of a natural-language information-retrieval system that is based on a two-level document-ranking method using mutual information is presented, and a Korean encyclopedia test collection is explained.…

A discussion of the two systems of need analysis used for Pell grants and other large federal need-based student-aid programs looks at the reasons for different systems and examines the usefulness of simplification to one. Budgetary feasibility, distributional implications, alternative cost-saving reforms, and effects on public confidence are…

In response to Fischer (HE 527 626), the author considers a proposal to simplify need analysis in Pell grants and other federal need-based student aid as a good start toward getting policymakers to achieve more consistent assessments of student financial need, but more work by many parties to create a system producing more realistic need…

Discusses the use of scaling test scores for an algebra class. Provides example data, several equations used in scaling, and graphs. (YP)

Discusses the characteristics of repeating decimals to facilitate the translation of repeating decimals to fractions. Describes the algebraic and arithmetic methods for converting the repeating decimal. Illustrates arithmetic operations for n-digit integer. Eight references are listed. (YP)

Describes two activities for developing computational skills, discovering patterns, checking answers, and factoring quadratics and equivalent fractions. Provides worksheets for the activities. (YP)

Reprint of a 1964 article by David Kaser which presented mathematical formulas for estimating the collection sizes (in volumes) required to ensure minimum adequacy of academic library collections at institutions with widely different characteristics. Current article presents new formulas and illustrates their application at specific institutions.…

Examines the process of information transmission in adaptive, viable organizational systems. Beer's viable system model is used to explain a system's information requirement at each time of the adaptation process, the source of this information, and the effect of information transmission on a system's cohesion. Four hypotheses are stated and…