Applies a probabilistic model to a contingency table with cross-citation frequency counts between scientific journals. The differences between model-based expected citation frequencies and observed frequencies (net citation balances) are used to derive an interjournal influence score. This measure of overall influence is compared with two other…

Developed are simple recursion formulas for generating the exact distribution of the longest run of heads, both for a fair coin and for a biased coin. Discusses the applications of runs-related phenomena such as molecular biology, Markov chains, geometric variables, and random variables. (YP)

Describes the development of the concept of function including changes of mental images, from the geometric conception versus the algebraic conception and the logical conception versus the algebraic conception. Lists 27 references. (YP)

Discusses the use of the recursive method to permutations of n objects and a problem making c cents in change using pennies and nickels when order is important. Presents a LOGO program for the examples. (YP)

A model for student retention and attrition is presented. Focus is on alternative models for the "dampening" in attrition rates as educational programs progress. Maximum likelihood estimates for the underlying parameters in each model and a Bayesian analysis are provided. (TJH)

Investigates the value of applying principles derived from simulated annealing to clustering tuples in database design, and compares this technique with a graph-collapsing clustering method. It is concluded that, while the new method does give superior results, the expense involved in algorithm run time is prohibitive. (24 references) (CLB)

Explores the basic physical laws of the juggling activity. Derives some equations involving height, angle, time, and distance for common juggling objects. Describes the relationships among height, length, mass, number of clubs, number of spins, angular velocity, time, and angle in club juggling. (YP)

Offers an approach to the understanding and to the teaching of the fundamental theorem of calculus. Stresses teaching the relation between a function and its derivative and the functions themselves. (YP)

Presents an example from the combinatorial theory of partially ordered sets. Discusses algorithms of on-line antichain partitioning problems, a topic in discrete optimization. (YP)

Presents an example of a mathematical question to illustrate an approach to simultaneous equations. Provides an example with diagrammatic and numerical representations. Suggests some possible developments. (YP)

Presents an approach to Vieta's formula involving pi and infinite product expansions of the sine and cosine functions. Indicates how the formula could be used in computing approximations of pi. (MVL)

Proposes a simple procedure based on an expansion of the exponential terms of Raoult's law by applying it to the case of the benzene-toluene mixture. The results with experimental values are presented as a table. (YP)

Investigates the relationships between the parameters of the Simon-Yule model and the shapes of three bibliometric distributions: Lotka's Law of Scientific Productivity; Bradford's Law of Bibliometric Scattering; and Zipf's Law of Word Frequency. The results indicate that the probability of a new entry determines the characteristics of all three…

Discusses the meaning of velocity in the Lorentz force law and to what the velocity of the charge is relative. Provides a brief summary of the history of the magnetic force. (23 references) (MDH)

Discusses the hydrodynamic reasons why a riverbed meanders through a plain. Describes how water movement at a bend in a river causes erosion and changes in the riverbed. Provides a mathematical model to explain the periodic shape of meanders of a river in a plain. (MDH)