There is presently disagreement between theory and experiment as well as between different theoretical calculations concerning the fine-structure splitting of the lowest P state of the neutral helium atom. We believe that we have found a minor error in the formulas used by Drake et al. (Can. J. Phys. 80, 1195 (2002)) in their calculations, and we may have an explanation how the error has occurr...

This book is an amazing treasure trove of riches, and my response, done properly, would probably occupy three monographs. Naturally, Rashed addressing quite a few controversial issues concerning the interpretation Empedocles, on some these I heartily disagree with his conclusions, or have minor quibbles; but all contributions are welcome reflect most impressive breadth learning scholarship. Whe...

background: it has been reported that curcumin has anti inflammatory, antibacterial, anti tumor and analgesic properties. objective: the purpose of this study was to investigate the efficacy of curcumin in the treatment of minor aphthous stomatitis. methods: the study was a two week, randomized, double blind, placebo controlled of patients with minor aphthous. patients between 18 and 65 years o...

The definitions of these matroids, with a summary of their interesting properties, can be found in the Appendix. Except for P"8 , they were all known to be excluded minors for GF(4)-representability (see Oxley [15, 17]). The matroid P"8 is obtained by relaxing the unique pair of disjoint circuit-hyperplanes of P8 . Ever since Whitney's introductory paper [28] on matroid theory, researchers have...

We prove upper and lower bounds on the size of the largest square grid graph that is a subgraph, minor, or shallow minor of a graph in the form of a larger square grid from which a specified number of vertices have been deleted. Our bounds are tight to within constant factors. We also provide less-tight bounds on analogous problems for higher-dimensional grids.

A minor-closed class of graphs is a set of labelled graphs which is closed under isomorphism and under taking minors. For a minor-closed class G, let gn be the number of graphs in G which have n vertices. The growth constant of G is γ = lim sup(gn/n!) . We study the properties of the set Γ of growth constants of minor-closed classes of graphs. Among other results, we show that Γ does not contai...