In this paper, we consider counting the number of ways to place kings on an k × n chessboard, such that every square is dominated by a king. Let f(k, n) be the number of dominating configurations. We consider the asymptotic behavior of the function f(k, n).

Samy I McFarlane1† & Fadi A El-Atat2 †Author for correspondence 1†SUNY-Downstate and Kings County Hospital Centers, Division of Endocrinology, Diabetes and Hypertension, 450 Clarkson Avenue, Box 50, Brooklyn, NY, 11203, USA Tel: +1 718 270 3711 Fax: +1 718 270 6358 2SUNY-Downstate and Kings County Hospital Centers, Division of Cardiovascular Medicine, 450 Clarkson Avenue, Box 50 Brooklyn, NY, 1...

Peter Ackroyd has suggested (l 968) that knowing too much background may prevent us from reading some texts as they were meant to be read. Certainly it is hard to read 2 Kings 16 without "static" from what we know from other sources. For example, because we enjoy a reasonably full knowledge of the Syro-Ephraimite War, we may assume connections in this text that are simply not present. Again, we...

Melting and homogeneity in germanium–silicon alloys and a modified micro-manufactured assembly for stable high pressure and temperature measurements G. Serghiou, N. Odling, R. Hunter, A. Abbie, B. Armstrong & C. Lathe a School of Engineering, University of Edinburgh, Kings Buildings, Mayfield Road, Edinburgh EH9 3JL, UK b The Grant Institute, School of Geosciences, University of Edinburgh, King...

I.D.Rankin, I.Underwood, D.G.Vass*, J.Gourlay*, M.R.Worboys** and M.S.Griffith** Department of Electrical Engineering, The University of Edinburgh, The Kings Buildings, Mayfield Road, Edinburgh, EH9 3JL, U.K. * Department of Physics and Astronomy, The University of Edinburgh, James Clark Maxwell Building, The Kings Buildings, Mayfield Road, Edinburgh, EH9 3JZ, U.K. ** GEC-Marconi Research Centr...