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Some of the hardest computational problems have been successfully attacked through the use of probabilistic algorithms, which have an element of randomness to them. Concepts from the field of probability are also increasingly useful in analyzing the performance of algorithms, broadening our understanding beyond that provided by the worst-case or average-case analyses. This book surveys both of these emerging areas on the interface of the mathematical sciences and computer science. It is designed to attract new researchers to this area and provide them with enough background to begin explorations of their own.
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.
Recent rough estimates are that the U.S. Department of Defense (DoD) spends at least $38 billion a year on the research, development, testing, and evaluation of new defense systems; approximately 40 percent of that cost-at least $16 billion-is spent on software development and testing. There is widespread understanding within DoD that the effectiveness of software-intensive defense systems is often hampered by low-quality software as well as increased costs and late delivery of software components. Given the costs involved, even relatively incremental improvements to the software development process for defense systems could represent a large savings in funds. And given the importance of pro...
Computational methods are rapidly becoming major tools of theoretical, pharmaceutical, materials, and biological chemists. Accordingly, the mathematical models and numerical analysis that underlie these methods have an increasingly important and direct role to play in the progress of many areas of chemistry. This book explores the research interface between computational chemistry and the mathematical sciences. In language that is aimed at non-specialists, it documents some prominent examples of past successful cross-fertilizations between the fields and explores the mathematical research opportunities in a broad cross-section of chemical research frontiers. It also discusses cultural differences between the two fields and makes recommendations for overcoming those differences and generally promoting this interdisciplinary work.
This volume updates and combines two National Academy Press bestsellers--Prudent Practices for Handling Hazardous Chemicals in Laboratories and Prudent Practices for Disposal of Chemicals from Laboratories--which have served for more than a decade as leading sources of chemical safety guidelines for the laboratory. Developed by experts from academia and industry, with specialties in such areas as chemical sciences, pollution prevention, and laboratory safety, Prudent Practices for Safety in Laboratories provides step-by-step planning procedures for handling, storage, and disposal of chemicals. The volume explores the current culture of laboratory safety and provides an updated guide to federal regulations. Organized around a recommended workflow protocol for experiments, the book offers prudent practices designed to promote safety and it includes practical information on assessing hazards, managing chemicals, disposing of wastes, and more. Prudent Practices for Safety in Laboratories is essential reading for people working with laboratory chemicals: research chemists, technicians, safety officers, chemistry educators, and students.
The goal of this book is to determine what makes certain doctoral/postdoctoral programs in mathematical sciences successful in producing large numbers of domestic Ph.D.s, including women and underrepresented minorities with sufficient professional experience and versatility to meet the research, teaching, and industrial needs of our technology-based society. Educating Mathematical Scientists describes the characteristics of successful doctoral/postdoctoral programs, based on the diverse set of 10 universities at which site visits were made.
This book advises the National Archives and Records Administration and federal R&D agencies on the long-term retention of scientific and technical data, particularly in electronic formats. It proposes the creation of a National Scientific Information Resource Federation, which would apply a strategic data life-cycle management plan to better link the government's existing scientific data holdings and improve public access to those holdings. The book is expected to draw attention to data management concerns in the context of the current government emphasis on promoting a National Information Infrastructure and to make a significant contribution to improving the inadequate situation regarding our nation's valuable scientific data and information resources.
Scores of talented and dedicated people serve the forensic science community, performing vitally important work. However, they are often constrained by lack of adequate resources, sound policies, and national support. It is clear that change and advancements, both systematic and scientific, are needed in a number of forensic science disciplines to ensure the reliability of work, establish enforceable standards, and promote best practices with consistent application. Strengthening Forensic Science in the United States: A Path Forward provides a detailed plan for addressing these needs and suggests the creation of a new government entity, the National Institute of Forensic Science, to establis...
Electricity is the lifeblood of modern society, and for the vast majority of people that electricity is obtained from large, interconnected power grids. However, the grid that was developed in the 20th century, and the incremental improvements made since then, including its underlying analytic foundations, is no longer adequate to completely meet the needs of the 21st century. The next-generation electric grid must be more flexible and resilient. While fossil fuels will have their place for decades to come, the grid of the future will need to accommodate a wider mix of more intermittent generating sources such as wind and distributed solar photovoltaics. Achieving this grid of the future wil...
From the terrorist attacks of 9/11, to Hurricane Katrina, homeland security risks vary widely. Managing these risks is especially difficult in today¿s environment of globalization, increasing security interdependence, and growing fiscal challenges for the fed. gov¿t. A forum of 25 experts was convened on Oct. 25, 2007, to advance a nat. dialogue on applying risk mgmt. to homeland security. Participants included fed., state, and local officials and risk mgt. experts from the private sector and academia. They identified: (1) what they considered to be effective risk mgmt. practices used by org. from the private and public sectors; and (2) key challenges to applying risk mgmt. to homeland security and actions that could be taken to address them. Illustrations.