This experience should help to establish the synergistic relationship between
science and mathematics, and also to reveal the relevance of these disciplines to
the real world and to nearly every human endeavor. SECTION ... Computers
provide teacher and student with an arsenal of techniques for exploration,
analysis, and computation nowhere else available. However ... There is evidently
strong motivation in executing one's own program, and a useful mechanical skill
is developed.
The aim of this thesis is to dualize the Goldie dimension theory for modules. Chapter I discusses some preliminary results that will be usefull in defining the notion of Goldie dimension for modules. Chapter II defines the notion of Goldie dimension for modules, and presents the theorems related to this concept of dimension. Chapter III discusses briefly the concept of dualization in the category of R-modules. It states few rules that reduce the dualization process in R-modules to an automatic one. Chapter IV dualizes the Goldie dimension theory for module It states and proves the dual of each theorem presented in Chapter.
It states few rules that reduce the dualization process in R-modules to an automatic one. Chapter IV dualizes the Goldie dimension theory for module It states and proves the dual of each theorem presented in Chapter.
In this stimulating volume, mathematicians from a wide range of disciplines explore the many ways in which computers are used in research within their fields, both to explore new topics and prove results. There are contributions on the impact of the computer on research in number theory (including the Riemann Zeta function), cryptography, combinatorics, symbolic manipulation, geometry, group theory, statistics, and applied mathematics. Readers will find up-to-date results and uniquely interesting reviews of current work.
In this stimulating volume, mathematicians from a wide range of disciplines explore the many ways in which computers are used in research within their fields, both to explore new topics and prove results.
This book captures the messages from a workshop that brought together research managers from government, industry, and academia to review and discuss the mechanisms that have been proposed or used to assess the value of chemical research. The workshop focused on the assessment procedures that have been or will be established within the various organizations that carry out or fund research activities, with particular attention to the Government Performance and Results Act (GPRA). The book presents approaches and ideas from leaders in each area that were intended to identify new and useful ways of assessing the value and potential impact of research activities.
Audience Member: Are there differences between big and small companies?
Francis Narin: Yes, but I have not looked in detail at big versus small companies
to see which ones are more science linked, except that in the biotech area the
small ...
The tremendous growth in use of information technology (IT) has led to an increased interest in understanding its social and economic impacts. This book presents examples of crosscutting research that has been conducted to understand the impact of information technology on personal, community, and business activities. It explores ways in which the use of methodology from economics and social sciences contributes to important advances in understanding these impacts. The book discusses significant research issues and concerns and suggests approaches for fostering increased interdisciplinary research on the impacts of information technology and making the results of this research more accessible to the public and policymakers. This volume is expected to influence funding priorities and levels of support for interdisciplinary research of this kind.
The reason was that advertising rates are based on the size of the audience and
not on how much enjoyment each viewer gets from a show. In contrast, a highly
focused show that appeals to a narrow audience might be able to recover its ...
