In this paper, we give a brief overview on Gröbner bases theory, addressed to novices without prior knowledge in the field. After explaining the general strategy for solving problems via the Gröbner approach, we develop the concept of Gröbner bases by studying uniquenss of polynomial division ("reduction"). For explicitly constructing Gröbner bases, the crucial notion of S polynomials is introd...

version of my " notebook ". It is a compilation of exercises, worked examples and key references (along with provocative remarks) that I have compiled in order to help myself and (fingers crossed) others learn their way around fermionic Fock space. Eventually (again, fingers crossed) the notebook will become a monograph suitable for use by, say, second year graduate students with an interest in...

Dorothea Orem, RN, MSN, Ed, FAAN, began to develop foundations for the selfcare deficit theory of nursing in the 1950s, when the curriculums of most nursing education programs were based on conceptual models from medicine, psychology, and sociology. Thus, Orem is a pioneer in the development of distinctive nursing knowledge. The development of the self-care deficit theory of nursing has been de...

This paper reviews the professional careers and contributions of three distinguished Australian academics, Russell Mathews, Reg Gynther and Ray Chambers, each of whom died recently. Particular attention is paid to their contributions to the debate on price change accounting, including the exchanges that took place between them on this subject. Price change accounting was a central issue in acad...

www.physicstoday.org S ymmetries and other regularities of the physical world make science a useful endeavor, yet the world around us is characterized by complex mixtures of regularities with individual differences, as exemplified by the words on this page. The dialectic of simple laws accounting for a complex world was only sharpened with the development of relativity and quantum mechanics and...

One of the most pervasive and recurrent issues that legal theory has had to deal with is the very concept of law. And one of the most puzzling questions that cyberspace lawyers have been jacing is where and in which form law is to be found on the Internet. This essay seeks to build a bridge between these two issues. The main argument is that, on the Internet and more specifically in the context...

1. Topologies on B(H) and the double commutant theorem 2 2. Examples of von Neumann algebras 5 2.1. Abelian von Neumann algebras 6 2.2. Group von Neumann algebras and representation theory 6 2.3. The Hyperfinite II1 factor R 9 3. Projections, Type Classification, and Traces 10 3.1. Projections and the spectral theorem 10 3.2. Type classification of factors 12 3.3. Traces 13 4. Tracial ultrapowe...