This report illustrates a simple, short, yet relatively little known partial check on addition that elementary school pupils can be lead to discover, and later taught to understand. The process can also be used for subtraction and is viewed as more useful than the traditional check of casting out nines. (MP)

Discusses the problem of duplicate citations resulting from file overlaps in multidatabase searching and shows that such duplicates could be identified automatically and eliminated by a host computer as a complementary service to online retrieval. Steps involved in the realization of this service are described, and 11 references are listed. (RBF)

Discussion of ranking systems used in various settings, including college football and academic admissions, focuses on the Google search engine. Explains the PageRank mathematical formula that scores Web pages by connecting the number of links; limitations, including authenticity and accuracy of ranked Web pages; relevancy; adjusting algorithms;…

Provides an applications-oriented view of algorithmic historiography and how it relates to understanding scientific paradigms. Discusses HistCite[TM], a program that allows scholars to identify significant works on a given topic; paradigm shifts; a genealogic approach; citation analyses; correcting variations in citations; and bibliographic…

Discussion of information retrieval, query optimization techniques, and relevance feedback focuses on genetic algorithms, which are derived from artificial intelligence techniques. Describes an evaluation of different genetic algorithms using a residual collection method and compares results with the Ide dec-hi method (Salton and Buckley, 1990…

Discusses the use of link structure analysis in World Wide Web information retrieval and in retrieval and ranking algorithms of search engines. Presents two techniques which bias co-citation based link analyses towards favorable Web pages and away from undesired pages, and are then integrated into existing link-analyzing algorithms. (Author/LRW)

Presents two methods for replacing a series by one converging more rapidly: regrouping the terms of a series and manipulations of power series. Describes a general algorithm for approximating the natural logarithm of any number. (YP)

The "word problem" is stated for a given collection. Facts regarding Dehn's Algorithm, definition of Thue systems, a rewriting system, lemmas and corollaries are provided. The situation is examined where the monoid presented by a finite Thue system is a group. (DC)

Possible ways of mechanization for counting using a binary system are discussed. Shows a binary representation of the numbers and geometric models having eight triples of lamps. Provides three problem sets. (YP)

Describes the software architecture and application of SABRE (Semi-Automated Bibliographic Environment), which is one of the first products to provide a semi-automatic environment for relevancy ranking of citations obtained from searches of bibliographic databases. Features designed to meet the review, categorization, culling, and reporting needs…

Discusses effective communication with interactive video and suggests possible barriers. Topics addressed include identifying the user; the need for standards; algorithms; the rapid development of hardware; navigation in interactive media; and interactivity with the user. (LRW)

Proposes an algorithm that minimizes the asymptotic variance of the maximum-likelihood (ML) estimator of a linear combination of abilities of interest. The criterion results in a closed-form expression that is easy to evaluate. Also shows how the algorithm can be modified if the interest is in a test with a "simple ability structure."…

Describes structured care approaches, such as protocols, clinical pathways, and algorithms, which are being used increasingly to organize clinical knowledge and guide patient care. Reviews the types of structured care approaches available to the clinician and explores the value of structured care approaches in practice and education. (Contains 32…

The author and many illustrious co-signers sent an open letter to the U.S. Department of Education protesting a report designating 10 "exemplary" or "promising" math programs. The programs over-emphasize data analysis and statistics, de-emphasize arithmetic and algebra, and advocate early calculator use, which can undermine…

Proposes an item-selection algorithm for neutralizing the differential effects of time limits on computerized adaptive test scores. Uses a statistical model for distributions of examinees' response times on items in a bank that is updated each time an item is administered. Demonstrates the method using an item bank from the Armed Services…