Let k be a field of characteristic not two or three, let $\mathfrak{g}$ finite-dimensional colour Lie algebra and V representation $\mathfrak{g}$. In this article we give various ways constructing $\tilde{\mathfrak{g}}$ whose bracket in some sense extends both the action on V. Colour algebras, originally introduced by R. Ree ([Ree60]), generalise algebras superalgebras, those cases our results ...

This paper uses a continuous-time real-options patent-race model to study a patent-race game in which a firm with larger research bandwidth competes with a firm with smaller bandwidth. The large firm can make strategic acquisitions or investments in the small firm subject to transactions costs. Acquisitions occur when the small firm is about to make pre-emptive investments or the large firm has...

Recent experimental observations of time-resolved multidimensional signals in the light-harvesting antennae Fenna-Mathews-Olson [G. S. Engel et al., Nature (London) 446, 782 (2007)] show large oscillations of exciton populations coupled to the long-lived coherences. These effects may not be reproduced by the standard Redfield theory which assumes weak coupling to a bath. A more general relaxati...

Predictions of rainfall-runoff response and soil moisture dynamics in a microscale catchment using the CREW model H. Lee, E. Zehe, and M. Sivapalan School of Environmental Systems Engineering, The University of Western Australia, 35 Stirling Highway, Crawley WA 6009, Australia Institut für Geooekologie, Universitaet Potsdam, Karl-Liebknecht-Str. 24–25, Haus 1 bzw. 12, 14 476 Golm, Potsdam, Germ...

Cell membranes are key structures existing in all living organisms in the world. Their importance in biology and medicine has been clear for many decades, and an extensive body of research for all aspects of their structure and function. They are ubiquitous in biology and are central to understanding key problems in biology and medicine (Lodish et al., 2000). All biological membranes are fluid ...

The Regional Economics Applications Laboratory (REAL) is a unit in the University of Illinois focusing on the development and use of analytical models for urban and region economic development. The purpose of the Discussion Papers is to circulate intermediate and final results of this research among readers within and outside REAL. The opinions and conclusions expressed in the papers are those ...

Engelman, Altus, and Mathews (1999) evaluated a procedure to ensure that staff checked in with elderly residents in a nursing home and offered activity choices. We report findings of a replication, with some additional components, to increase appropriate activity engagement among 5 residents (aged 77 to 83 years) with severe dementia. Evaluated in a concurrent multiple baseline design across pa...

Peter Anninos, Richard H. Price, Jorge Pullin, Edward Seidel, and Wai-Mo Suen 1 National Center for Supercomputing Applications, Beckman Institute, 405 N. Mathews Ave., Urbana, IL, 61801 2 Department of Physics, University of Illinois, Urbana, IL 61801 3 Department of Physics, University of Utah, Salt Lake City, UT 84112-1195 4 Center for Gravitational Physics and Geometry, Department of Physic...

sustained effects of dihydropyridine-type calcium channel antagonists on oxidative stress in systemic sclerosis. Am J Med 2004;116:595–600. 20. Apple FS, Quist HE, Otto AP, Mathews WE, Murakami MM. Release characteristics of cardiac biomarkers and ischemia modified albumin as measured by the albumin cobalt binding test after a marathon race. Clin Chem 2002;48:1097–100. 21. Edwards SW, Hallett M...

The possible importance of tRNA methylases in carcinogenesis was suggested by Srinivasan and Borek (48, 49). This hypothesis has stimulated a considerable amount of subsequent work and is currently under investigation in several laboratories. The hypothesis was based originally on the observation by Bergquist and Mathews (3) that some tumors contained higher levels of methylated RNA than their ...