Lists five criteria in the acceptance of mathematical theorems, such as understanding, significance, compatibility, reputation, and convincing argument. Concludes that social and language factors are involved in the process of the acceptance. (YP)

Describes the "Buffon's Needle" problem, which is calculating the probability that a needle will cross one of two separated lines. Calculates the probability when the length of the needle is greater than the space of the two lines. Provides an analytic solution and the results of a computer simulation. (YP)

Considers the reflections of the graphs of a function through an arbitrary line. Determines whether the result is a function and which functions are reflected on to themselves through a given line. (YP)

Investigates the extent to which visual considerations in calculus can be taught and be a natural part of college students' mathematical thinking. Recommends that the legitimacy of the visual approach in proofs and problem solving should be emphasized and that the visual interpretations of algebraic notions should be taught. (YP)

Derives the current in the wire joining two points when n points are joined two by two by wires of equal resistance, and two of them are connected to the electrodes of a battery of electromotive force E and resistance R. (YP)

Discusses fluid mechanics for undergraduates including the differential Navier-Stokes equations, dimensional analysis and simplified dimensionless numbers, control volume principles, the Reynolds lubrication equation for confined and free surface flows, capillary pressure, and simplified perturbation techniques. Provides a vertical dip coating…

In response to a trend in which library services are made available to individuals and groups normally without access to them, direct and indirect costs for various units within a library are reviewed to provide a generic format for deriving those costs and establishing user fees. Precautions are also discussed. (MSE)

Investigates the problem of finding the expected number of questions necessary to identify 1 out of a set of 30 attribute blocks. Solutions include the use of a tree diagram or a computer simulation. Generalizes the problem for increased numbers of attributes. (MDH)

Interviewed six first-year college students in an introductory physics course about their beliefs about physics. Characterized the students' beliefs about the structure of physics knowledge as isolated facts or a coherent system; content of physics knowledge as formulas or underlying concepts; and process of learning physics as receiving…

Proposes and explains a modification of the mixed Poisson model for library circulations which takes into account the periods when a book is out on loan and therefore unavailable for borrowing. Highlights include frequency of circulation distributions; negative binomial distribution; and examples of the model at two universities. (Contains 34…

Presents a simpler derivation for centripetal acceleration for use when students are first introduced to the topic. (PR)

In a randomized clinical trial, a researcher can increase statistical power by including a covariate (or pretest) to reduce participants; however, this raises the cost per participant. A simple closed form expression is derived that applied researchers can use to answer the cost/benefit question. (JPS)

This article discusses techniques for calculating the net worth of prospective college and university donors, explaining how to base a net worth calculation on known statistical averages. It then reviews several formulas for estimating a person's giving ability. (MDM)

Uses the context of rock climbing to discuss the science concept of friction. Presents the mathematics equations that describe the concept. Examines the physics of different rock climbing situations encountered and equipment used. A series of related problems with answers is provided. (MDH)

A simple liquid-liquid equilibrium (LLE) system involving a constant partition coefficient based on solute ratios is used to develop an algebraic understanding of multistage contacting in a first-year separation processes course. This algebraic approach to the LLE system is shown to be operable for the introduction of graphical techniques…