Geometric and algebraic solutions to problems involving reflections of balls on a pool table are presented. The question of whether the ball must eventually enter a pocket is explored. A determination of the number of reflections is discussed. (CW)

Describes Fermat's last theorem and shows the proof for the case when the exponent is four. Outlines other works for the proof of the theorem, including Kummer's. Twelve references are listed. (YP)

Discussed are two Euclidean constructions (synthetic approach and coordinate method) to inscribe regular polygons of 5 and 17 sides in a circle. Each step of the constructions is described using diagrams and mathematical expressions. (YP)

Presents two papers commenting on previous published articles. Discusses formulas related to the determinants of sums and tests the formulas using some examples. Provides three special cases of the determinants of sums. (YP)

Describes several ways to partially levitate permanent magnets. Computes field line geometries and oscillation frequencies. Provides several diagrams illustrating the mechanism of the oscillation. (YP)

Describes an expert system that can identify documents erroneously categorized by indexers working within a prior category scheme. The discussion covers the results of a test of the system and its implications for automatic indexing systems. (14 references) (CLB)

Discussion of multimedia computing and multimedia information systems that contain audio and video data focuses on how to implement buffer sharing in continuous-media systems based on slots and portions. Disk utilization and transition periods are considered, and future work is described. (LRW)

Reformulates the success-breeds-success (SBS) principle in informetrics in order to generate a general theory of source-item relationships. Topics include a time-dependent probability, a new model for the expected probability that is compared with the SBS principle with exact combinatorial calculations, classical frequency distributions, and…

Describes a procedure for information retrieval testing that is based on the comparison of statistically independent methods of retrieval applied to the same database. The probability ranking principle is discussed, the statistical meaning of relevance is examined, and the methodology is illustrated on a large database of MEDLINE records. (19…

Looks at one phase of the water cycle; the formation of drops in cooling water vapor. Examines the influence of surface shape on the equilibrium of the liquid and gas phases. Discusses the mathematical formulas that model the phenomenon. (MDH)

Discusses the problems of compressing a large textual database for storage on CD-ROM. A text-compression algorithm is presented, new algorithms for compression of indices are described, and the ARTFL (American and French Research on the Treasury of the French Language) database is used as an example. (14 references) (LRW)

Demonstrates the number theory property that the number of divisors of an integer n times the number of positive integers k, less than or equal to and relatively prime to n, equals the sum of the divisors of n using theory developed about multiplicative functions, the units of a convolution ring, and the Mobius Function. (MDH)

Describes a study in which several different sets of hypertext links are inserted by different people in full-text documents. The degree of similarity between the sets is measured using coefficients and topological indices. As in comparable studies of inter-indexer consistency, the sets of links used by different people showed little similarity.…

In artificial life research, scientists use the principles of evolution to develop complex behaviors from simple elements. By creating lifelike processes, they are trying to understand real organisms and explore possibilities for life in other circumstances. Techniques used are diverse, including biological testing, robotics, and computer…

Stanford University (California) and the United States Navy have settled a dispute over 12 years of charges for research overhead, and the Navy has issued a rule requiring universities to negotiate multiyear overhead rates when appropriate data are available. Stanford agreed to pay back a total of $3.4-million. (MSE)