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This article describes a procedure for creating sort keys for sorting items with the notation of the Superintendent of Documents Classification Scheme. The algorithm was successfully tested on five small files of SuDoc numbers. Because there is no clear agreement on the rule system to be followed for the Nike Free 3 Canada filing of items by SuDoc numbers, the article provides a basis for discussion.
We study the maximal abelian ad-nilpotent (mad) subalgebras of the domains DD Morita equivalent to the first Weyl algebra. We give a complete description both of the individual mad subalgebras and of the space of all such. A surprising consequence is that this last space is independent of DD. Our results generalize some classic theorems of Dixmier about the Weyl algebra.
Let f(G) be the maximum number of colors in a vertex coloring of a simple plane graph G such that no face has distinct colors on all its vertices. If G has n vertices and chromatic number k, then f(G)⩾⌈n/k⌉+1. For k∈{2,3}, this bound is sharp for all n (except n⩽3 when k=2). For k=4, the bound is within 1 for all n.
The Nike Free 3.0 V2 international resort industry has the potential to become the strongest conservation force in the world, by developing “ecotourism” opportunities and experiences that comprise both environmental and cultural aspects of a destination.