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This book describes the contributions of mathematics to the nation's advanced technology and to economic competitiveness. Examples from five industriesâ€"aircraft, petroleum, automotive, semiconductor, and telecommunicationsâ€"illustrate how mathematics enters into and improves industry. Mathematical Sciences, Technology, and Economic Competitiveness addresses these high-technology industries and breadth of mathematical endeavors in the United States as they materially contribute to the technology base from which innovation in these industries flows. The book represents a serious attempt by the mathematics community to bring about an awareness by policymakers of the pervasive influence of mathematics in everyday life.
Over three hundred years ago, Galileo is reported to have said, "The laws of nature are written in the language of mathematics." Often mathematics and science go hand in hand, with one helping develop and improve the other. Discoveries in science, for example, open up new advances in statistics, computer science, operations research, and pure and applied mathematics which in turn enabled new practical technologies and advanced entirely new frontiers of science. Despite the interdependency that exists between these two disciplines, cooperation and collaboration between mathematical scientists and scientists have only occurred by chance. To encourage new collaboration between the mathematical sciences and other fields and to sustain present collaboration, the National Research Council (NRC) formed a committee representing a broad cross-section of scientists from academia, federal government laboratories, and industry. The goal of the committee was to examine the mechanisms for strengthening interdisciplinary research between mathematical sciences and the sciences, with a strong focus on suggesting the most effective mechanisms of collaboration. Strengthening the Linkages Between the Sciences and the Mathematical Sciences provides the findings and recommendations of the committee as well as case studies of cross-discipline collaboration, the workshop agenda, and federal agencies that provide funding for such collaboration.
Mathematical Modelling in Science and Technology: The Fourth International Conference covers the proceedings of the Fourth International Conference by the same title, held at the Swiss Federal Institute of Technology, Zurich, Switzerland on August 15-17, 1983. Mathematical modeling is a powerful tool to solve many complex problems presented by scientific and technological developments. This book is organized into 20 parts encompassing 180 chapters. The first parts present the basic principles, methodology, systems theory, parameter estimation, system identification, and optimization of mathematical modeling. The succeeding parts discuss the features of stochastic and numerical modeling and simulation languages. Considerable parts deal with the application areas of mathematical modeling, such as in chemical engineering, solid and fluid mechanics, water resources, medicine, economics, transportation, and industry. The last parts tackle the application of mathematical modeling in student management and other academic cases. This book will prove useful to researchers in various science and technology fields.
The SBIR program allocates 2.5 percent of 11 federal agencies' extramural R&D budgets to fund R&D projects by small businesses, providing approximately $2 billion annually in competitive awards. At the request of Congress the National Academies conducted a comprehensive study of how the SBIR program has stimulated technological innovation and used small businesses to meet federal research and development needs. Drawing substantially on new data collection, this book examines the SBIR program at the National Institutes of Health and makes recommendations for improvements. Separate reports will assess the SBIR program at DOD, NSF, DOE, and NASA, respectively, along with a comprehensive report on the entire program.
The Small Business Innovation Research (SBIR) program is one of the largest examples of U.S. public-private partnerships. Founded in 1982, SBIR was designed to encourage small business to develop new processes and products and to provide quality research in support of the many missions of the U.S. government, including health, energy, the environment, and national defense. In response to a request from the U.S. Congress, the National Research Council assessed SBIR as administered by the five federal agencies that together make up 96 percent of program expenditures. This book, one of six in the series, reports on the SBIR program at the National Aeronautics and Space Administration, and finds that the program is making significant progress in achieving the Congressional goals for the program. Keeping in mind NASA's unique mission and the recent significant changes to the program, the committee found the SBIR program to be sound in concept and effective in practice at NASA.. The book recommends programmatic changes that should make the SBIR program even more effective in achieving its legislative goals.
The Small Business Innovation Research (SBIR) program is one of the largest examples of U.S. public-private partnerships. Founded in 1982, SBIR was designed to encourage small business to develop new processes and products and to provide quality research in support of the many missions of the U.S. government, including health, energy, the environment, and national defense. In response to a request from the U.S. Congress, the National Research Council assessed SBIR as administered by the five federal agencies that together make up 96 percent of program expenditures. This book, one of six in the series, reports on the SBIR program at the Department of Energy. It finds that, in spite of resource constraints, the DoE has made significant progress in meeting the legislative objectives of SBIR and that the program is effectively addressing the mission of the Department of Energy. The book documents the achievements and challenges of the program and recommends programmatic changes to make the SBIR program even more effective in achieving its legislative goals.
The Small Business Innovation Research (SBIR) program is one of the largest examples of U.S. public-private partnerships. Founded in 1982, SBIR was designed to encourage small business to develop new processes and products and to provide quality research in support of the many missions of the U.S. government, including health, energy, the environment, and national defense. In response to a request from the U.S. Congress, the National Research Council assessed SBIR as administered by the five federal agencies that together make up 96 percent of program expenditures. This book, one of six in the series, reports on the SBIR program at the National Science Foundation. The study finds that the SBIR program is sound in concept and effective in practice, but that it can also be improved. Currently, the program is delivering results that meet most of the congressional objectives, including stimulating technological innovation, increasing private-sector commercialization of innovations, using small businesses to meet federal research and development needs, and fostering participation by minority and disadvantaged persons. The book suggests ways in which the program can improve operations, continue to increase private-sector commercialization, and improve participation by women and minorities.
The SBIR program allocates 2.5 percent of 11 federal agencies' extramural R&D budgets to fund R&D projects by small businesses, providing approximately $2 billion annually in competitive awards. At the request of Congress, the National Academies conducted a comprehensive study of how the SBIR program has stimulated technological innovation and used small businesses to meet federal research and development needs. Drawing substantially on new data collection, this book examines the SBIR program at the Department of Defense and makes recommendations for improvements. Separate reports will assess the SBIR program at NSF, NIH, DOE, and NASA, respectively, along with a comprehensive report on the entire program.