Imaginary Case Research Articles

Displacement structure approach to singular root distribution problems: the imaginary axis case

A general theory of tabular form root distribution procedures based on LDL* factorization of Bezoutians has been presented in this paper. In particular, we have concentrated on the singular cases arising in the Routh test. A one-to-one correspondence has been established between the rank profile of the underlying Bezoutians and the occurrence of the singular cases. Combining this interpretation with the newly developed factorization procedures of Pal and Kailath (1989), it has been possible to extend the new unified approach of Lev-Ari, Bistritz, and Kailath (1991) to the singular cases. By doing so not only did we obtain all the known procedures but we also obtained new results.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

On the reducibility of linear differential equations with quasiperiodic coefficients

The system x ̇ = (A + εQ(t))x in R d is considered, where A is a constant matrix and Q a quasiperiodic analytic matrix with r basic frequencies. The eigenvalues of A are arbitrary including the purely imaginary case. Suppose that the set formed by the eigenvalues of A and the basic frequencies of Q satisfies a nonresonant condition. Then there is a positive measure cantorian set E such that for ε ϵ E the system is reducible to constant coefficients by means of a quasiperiodic change of variables, provided a nondegeneracy condition holds. This condition prevents locking at resonance.

The Moot Court in teaching bioethics

The first part of this paper describes the nature of a Moot Court (or Mock Trial) and how it has been used in recent years as a teaching method for students in medicine and nursing at the Memorial University of Newfoundland. A whole day is spent in the anactment of an imaginary court case in which issues in bioethics are raised. Civil and criminal cases are used in alternate years. A considerable degree of realism is maintained except for the occassions when the presiding judge needs to make comments to the students in order to explain what is going on. The realism is helped by the fact that the roles of judge and of legal counsel are played by members of the judiciary and lawyers from the Newfoundland bar. In the second part of the paper there is a discussion of the principal issue that arose in the 1988 Moot Court, namely informed consent. In the third part the secondary legal and moral issues that arose are described and in the fourth part there is a discussion of the interface between law and morality that is illustrated by the issues that came up in the Moot Court.

Motivation Research

Properly conceived, conducted and interpreted, motivation research can be an extremely powerful management tool, designed to help the manufacturer or advertiser to sell more goods. Its aim is to expose the market situation, explain it and suggest courses of action which will lead to desired changes. It is a way of looking at a problem rather than a collection of specialist techniques and is strictly practical. Hence it can be used alongside other market research tools for the solution of marketing problems and can be applied to a wide range of business activities. Much of its development has been in the advertising field but it can also help in the formulation of production policy, solving packaging problems and marketing operations. It is examined here in all these contexts. The idea of motivation research, the reasons for its use and the techniques by which to apply it are discussed, as well as the pitfalls that are likely to occur. New and imaginary case studies are used throughout to illustrate points. A review of the subject literature is included.

Royal Malady

This paper uses the imaginary case of Gemma, presented initially at the International Swine Flu Conference (London, March 2010), to discuss whether a nurse who disagrees with most ways in which animals are farmed would be wronged if she contracted swine flu. It is argued that the farm animal sector has contributed to the emergence of H1N1 flu, and that the sector in general contributes significantly to the burden of human disease. The aim of this paper is to promote debate on the question as to whether a range of systems used by the farm animal sector survive moral scrutiny in light of these concerns.

International Theory and Historical Explanation

International Theory and Historical Explanation

Verification of the Quillen conjecture in the rank 2 imaginary quadratic case

We confirm a conjecture of Quillen in the case of the mod 2 coho-mology of arithmetic groups SL2(O Q(√ −m) [ 1 2 ]), where O Q(√ −m) is an imaginary quadratic ring of integers. To make explicit the free module structure on the cohomology ring conjectured by Quillen, we compute the mod 2 cohomology of SL2(Z[ √ −2 ][ 1 2 ]) via the amalgamated decomposition of the latter group.