Graduate Catalog, 1972-1973 & 1973-1974

https://scholar.valpo.edu/gradcatalogs/1007/thumbnail.jp

Extensional and Intensional Strategies

This paper is a contribution to the theoretical foundations of strategies. We first present a general definition of abstract strategies which is extensional in the sense that a strategy is defined explicitly as a set of derivations of an abstract reduction system. We then move to a more intensional definition supporting the abstract view but more operational in the sense that it describes a means for determining such a set. We characterize the class of extensional strategies that can be defined intensionally. We also give some hints towards a logical characterization of intensional strategies and propose a few challenging perspectives

Johann Lambert's Scientific Tool Kit.: Exemplified by the Measurement of Humidity

International audienceJ.H. Lambert (1728-1777) developed a very detailed theory of science and experiment. Using Lambert's hygrometric studies, this article provides an introduction into Lambert's theory and its practice. Of special interest in Lambert's theory are a well-founded theory on the emergence and definition of concepts and his neat neat eye for heuristics that should ultimately lead up to a mathematization of physical phenomena. His use of visualizations in this context is especially remarkable

SciTech News Volume 71, No. 2 (2017)

Columns and Reports From the Editor 3 Division News Science-Technology Division 5 Chemistry Division 8 Engineering Division 9 Aerospace Section of the Engineering Division 12 Architecture, Building Engineering, Construction and Design Section of the Engineering Division 14 Reviews Sci-Tech Book News Reviews 16 Advertisements IEEE

The Hetu'u Global Network: Measuring the Distance to the Sun Using the June 5th/6th Transit of Venus

In the spirit of historic astronomical endeavors, we invited school groups across the globe to collaborate in a solar distance measurement using the rare June 5/6th transit of Venus. In total, we recruited 19 school groups spread over 6 continents and 10 countries to participate in our Hetu'u Global Network. Applying the methods of French astronomer Joseph-Nicolas Delisle, we used individual second and third Venus-Sun contact times to calculate the distance to the Sun. Ten of the sites in our network had amiable weather; 8 of which measured second contact and 5 of which measured third contact leading to consistent solar distance measurements of 152+/-30 million km and 163+/-30 million km respectively. The distance to the Sun at the time of the transit was 152.25 million km; therefore, our measurements are also consistent within 1sigma of the known value. The goal of our international school group network was to inspire the next generation of scientists using the excitement and accessibility of a rare astronomical event. In the process, we connected hundreds of participating students representing a diverse, multi-cultural group with differing political, economic, and racial backgrounds.Comment: 19 pages; 7 Figures; 1 Table; Accepted for publication in Astronomy Education Review (AER) For more information see http://www.das.uchile.cl/~drodrigu/easter/index_en.htm

Some Historical Aspects of Error Calculus by Dirichlet Forms

We discuss the main stages of development of the error calculation since the beginning of XIX-th century by insisting on what prefigures the use of Dirichlet forms and emphasizing the mathematical properties that make the use of Dirichlet forms more relevant and efficient. The purpose of the paper is mainly to clarify the concepts. We also indicate some possible future research.Comment: 18 page

Isoperimetric problems in the variational calculus of Euler and Lagrange

AbstractHistorians have documented the main development of the calculus of variations in the 18th century. Although we have a clear overall picture of this subject there is in the literature no connected historical account of the more specialized research carried out during the period on problems of extremization under constraint. Concentrating on the work of Leonhard Euler and Joseph Louis Lagrange between 1738 and 1806, the present study attempts to identify and draw together the different threads that make up this story

Euler’s analytical program

Peer Reviewe

Focus, 1993-1994

Focus magazine from Morehead State University for 1993-1994