The question of the existence and uniqueness of an M-matrix which is a square root of an M-matrix is discussed. The results are then used to derive some new necessary and sufficient conditions for a real matrix with nonpositive off diagonal elements to be an M-matrix.
We give an algorithm to compute an absolutely normal number so that the first n digits in its binary expansion are obtained in time Nike Air Max Canada polynomial in n; in fact, just above quadratic. Air Max Tn The algorithm uses combinatorial tools to control divergence from normality. Speed of computation is achieved at the sacrifice of speed of convergence to normality.
The Composites Fabricators Association (CFA) chose the first day of its Composites 2003 trade show in Anaheim, California, on 1–3 October, to officially introduce its new name — the American Composites Manufacturers Association (ACMA). In this review of the show we look at this development, as well as some other highlights from the event.
The concept of genus distribution of graphs is generalized to include nonorientable imbeddings. Explicit computations of the total imbedding distributions for several interesting graph classes are given. These computations are an illustration of the power of a theorem by Mohar that relates topological types of imbedding surfaces to ranks of the corresponding overlap matrices.