This paper aims to provide a contribution to the research in physics education regarding the interplay between mathematics and physics in teaching and learning physics at the university level. The argument is developed through a study focused on the historical case study of the blackbody that led Planck to make one of the most significant…

Describes scope, methods, and history of evolutionary biology. Illustrates the application of new mathematical treatments to problems of speciation, homology and ecology. Urges biologists to become familiar with these methods and to adopt a mathematical approach in teaching, arguing that much ecology taught today is irrelevant to theories now…

Shows how to extend Wigner distribution functions, and Weyl correspondence between quantum and classical variables, from the usual kind of canonically conjugate position and momentum operators to the case of an angle and angular momentum operator pair. (Author/GA)

Discusses a National Academy of Science forum at which a group of outstanding young researchers in astronomy, molecular and developmental biology, physics, chemistry, mathematics, atmospheric science, and materials science met for three days of formal presentations and informal conversations. Provides a short synopsis of major speakers. (MVL)

Mathematical techniques used to solve geological problems are briefly discussed (including comments on use of geostatistics). Highlights of conferences/meetings and conference papers in mathematical geology are also provided. (JN)

Shows that von Neumann's mathematical theorem on composite systems acquires a transparent physical meaning with reference to a suitable physical example; a composite system in a state of definite angular momentum. Gives an outline of the theorem, and the results are restated in Dirac's notation, thus generalizing von Neumann's results which were…

This report on Federal agency research and development (R&D) is based on the FY 1983 Presidential budget which continues the economic revitalization policies initiated in the previous year's budget. While the report emphasizes analyses of detailed data on R&D performers, fields of science, and geographic distribution of R&D, it also…

This report discusses the support of research and development (R&D) by the federal government through appropriate agencies; it uses data from an annual survey of federal agencies following the preparation of their budgets for 1984. Therefore, this information reflects the continuation of Reagan administration policies to strengthen the United…

In 1965, the National Science Foundation began an experiment in institutional funding, the Science Development (SD) program. Setting as dual goals an upgrading of the science capabilities of second-tier universities and a broader geographical distribution of scientific resources throughout the nation, this program awarded over $130 million to…

According to the General Accounting Office (GAO), scientific leaders estimated in 1982 that between $1 and $4 billion was necessary to update university research equipment. Because of this large cost variance, GAO was requested to assess how well past studies have defined the nationwide deficiency in university research equipment and to suggest…

This report is the 30th in a series that covers research and development (R&D) as shown in successive Presidential budgets. The Federal budget for 1982 was unusual in the extent to which it was subjected to change, reflecting the new administration's philosophy to reduce Federal spending. R&D funding data reflect the first series of 1981…

These proceedings result from a symposium designed to provide a forum for the consideration of major social issues confronting science today. Participants (including scientists at different stages of career development from undergraduate concentrator to Nobel laureate) discussed issues related to the scientist's responsibilities as scientist and…