The Princeton Colloquium; lectures on mathematics, delivered September 15 to 17, 1909, before members of the American Mathematical Society in connection with the summer meeting held at Princeton University, Princeton, N.J.

Fundamental existence theorems, by G. A. Bliss.--Differential-geometric aspects of dynamics, by E. Kasner.

An investigation of the laws of thought, on which are founded mathematical theories of logic and probabilities.

Mode of access: Internet.

Dictionary of philosophy and psychology : including many of the principal conceptions of ethics, logic, aesthetics, philosophy of religion, mental pathology, anthropology, biology, neurology, physiology, economics, political and social philosophy, philology, physical science, and education, and giving a terminology in English, French, German, and Italian /

Mode of access: Internet.

Natural rights : a criticism of some political and ethical conceptions /

Includes some text in French.

Summary report from Workshop on Two-Dimensional Mathematical Models for Use in Hydraulic Problems /

Mode of access: Internet.

RANDOMDEC--mathematical background and application to detection of structural deterioration in bridges /

Mode of access: Internet.

Bulletin of the American Mathematical Society.

Energy research abstracts

Students' conceptions of sport and sport education

This article explores a class of Grade 5 (age 9 and 10) children’s conceptions of sport during a season of sport education at Forest Gate Primary School. The purpose, following Kirk and Kinchin (this issue), is to examine the extent to which the potential transfer of learning between school and sport as a community of practice may be possible through sport education in school physical education. With reference to student interviews and drawings we report and discuss children’s conceptions of sport, their experiences of sport outside of the school, and their emerging conceptions of sport education in light of these prior understanding and experiences. We conclude that there was an evident level of compatibility between students’ experiences of sport education and their conceptions of sport more broadly.

A dynamic mathematical model for sequential leach bed anaerobic digestion of organic fraction of municipal solid waste

A mathematical model that describes the operation of a sequential leach bed process for anaerobic digestion of organic fraction of municipal solid waste (MSW) is developed and validated. This model assumes that ultimate mineralisation of the organic component of the waste occurs in three steps, namely solubilisation of particulate matter, fermentation to volatile organic acids (modelled as acetic acid) along with liberation of carbon dioxide and hydrogen, and methanogenesis from acetate and hydrogen. The model incorporates the ionic equilibrium equations arising due to dissolution of carbon dioxide, generation of alkalinity from breakdown of solids and dissociation of acetic acid. Rather than a charge balance, a mass balance on the hydronium and hydroxide ions is used to calculate pH. The flow of liquid through the bed is modelled as occurring through two zones-a permeable zone with high flushing rates and the other more stagnant. Some of the kinetic parameters for the biological processes were obtained from batch MSW digestion experiments. The parameters for flow model were obtained from residence time distribution studies conducted using tritium as a tracer. The model was validated using data from leach bed digestion experiments in which a leachate volume equal to 10% of the fresh waste bed volume was sequenced. The model was then tested, without altering any kinetic or flow parameters, by varying volume of leachate that is sequenced between the beds. Simulations for sequencing/recirculating 5 and 30% of the bed volume are presented and compared with experimental results. (C) 2002 Elsevier Science B.V. All rights reserved.

Dissonance between conceptions of learning and ways of learning for indigenous Australian university students

This article reports on a phenomenographic investigation into conceptions of learning for 15 Indigenous Australian university students over the three years of their degree courses. The ways in which they went about learning were also investigated along with the relationship between individual students' 'core' conceptions of learning and the ways in which they learned. Results indicated that their conceptions and ways of learning were similar in some respects to those found for other university students. However, some students went about learning in ways that were incongruent with the core conception of learning they held. This can be regarded as dissonance between strategies and conceptions of learning. The implications of this for teaching and learning for such students are discussed.

Mathematical modelling

The development of a new process model of cement grinding in two-stage mills is discussed. The new model has been used to simulate cement grinding and predicting mill performance in open and closed circuit configuration. The new model considered the two-compartment mill as perfectly mixed slices in series. The breakage rate function uses the back calculation technique to determine offline using drop weight and abrasion tests.

A longitudinal study of learning for a group of indigenous Australian university students: Dissonant conceptions and strategies

Conceptions of learning and strategies used by 15 indigenous students in three Australian universities were studied longitudinally over three years. Their academic achievements were good, but at a high cost in terms of time and effort. In spite of the fact that almost half of the students expressed higher-order (qualitative) conceptions of learning in the first year and more in the second and third years, all of the students reported using highly repetitive strategies to learn. That is, they did not vary their way of learning, reading or writing in the beginning of their studies and less than half of them did so at the end of the three years. It is argued that encountering variation in ways of learning is a prerequisite for the development of powerful ways of learning and studying.

A mathematical model of integrin-mediated haptotactic cell migration

Haptotactic cell migration, a directed response to gradients of cell—extracellular matrix adhesion, is an important process in a number of biological phenomena such as wound healing and tumour cell invasion. Previously, mathematical models of haptotaxis have been developed on the premise that cells migrate in response to gradients in the density of the extracellular matrix. In this paper, we develop a novel mathematical model of haptotaxis which includes the adhesion receptors known as integrins and a description of their functional activation, local recruitment and protrusion as part of lamellipodia. Through the inclusion of integrins, the modelled cell matter is able to respond to a true gradient of cell–matrix adhesion, represented by functionally active integrins. We also show that previous matrix-mediated models are in fact a subset of the novel integrin-mediated models, characterised by specific choices of diffusion and haptotaxis coefficients in their model equations. Numerical solutions suggest the existence of travelling waves of cell migration that are confirmed via a phase plane analysis of a simplified model.

Two conceptions of reason

Two conceptions of reason are considered - the planning conception, embodied, for example, in rational choice theory and other familiar paradigms, and the improvisational conception, emerging from work on artificial intelligence and organization theory. Two illustrations are given of the problematic nature of the planning conception: ( 1) the inevitability of incompleteness in contracting and ( 2) the burdens of reason identified by John Rawls. Two diagnoses are provided for these infirmities: ( 1) the inexhaustibility of description and ( 2) the constructed nature of preferences and values. An alternative improvisational model is sketched and risk-spreading and bet-hedging are identified as two of its key technologies.

Mathematical Morphology: Star/Galaxy Differentiation & Galaxy Morphology Classication

We present an application of Mathematical Morphology (MM) for the classification of astronomical objects, both for star/galaxy differentiation and galaxy morphology classification. We demonstrate that, for CCD images, 99.3 +/- 3.8% of galaxies can be separated from stars using MM, with 19.4 +/- 7.9% of the stars being misclassified. We demonstrate that, for photographic plate images, the number of galaxies correctly separated from the stars can be increased using our MM diffraction spike tool, which allows 51.0 +/- 6.0% of the high-brightness galaxies that are inseparable in current techniques to be correctly classified, with only 1.4 +/- 0.5% of the high-brightness stars contaminating the population. We demonstrate that elliptical (E) and late-type spiral (Sc-Sd) galaxies can be classified using MM with an accuracy of 91.4 +/- 7.8%. It is a method involving fewer 'free parameters' than current techniques, especially automated machine learning algorithms. The limitation of MM galaxy morphology classification based on seeing and distance is also presented. We examine various star/galaxy differentiation and galaxy morphology classification techniques commonly used today, and show that our MM techniques compare very favourably.