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In mathematics, lexicographical order is a means of ordering sequences in a manner analogous to that used to produce alphabetical order. [ 16 ] Some computer applications use a version of alphabetical order that can be achieved using a very simple algorithm , based purely on the ASCII or Unicode codes for characters.
The Z-ordering can be used to efficiently build a quadtree (2D) or octree (3D) for a set of points. [4] [5] The basic idea is to sort the input set according to Z-order.Once sorted, the points can either be stored in a binary search tree and used directly, which is called a linear quadtree, [6] or they can be used to build a pointer based quadtree.
Z-order is an ordering of overlapping two-dimensional objects, such as windows in a stacking window manager, shapes in a vector graphics editor, or objects in a 3D application. [1] One of the features of a typical GUI is that windows may overlap, so that one window hides part or all of another.
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This is an accepted version of this page This is the latest accepted revision, reviewed on 14 December 2024. For other color lists, see Lists of colors. This article relies largely or entirely on a single source. Relevant discussion may be found on the talk page. Please help improve this article by introducing citations to additional sources. Find sources: "List of colors" alphabetical ...
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The Paley graph of order 13, a circulant graph formed as the Cayley graph of Z/13 with generator set {1,3,4} A Cayley graph is a graph defined from a pair ( G , S ) where G is a group and S is a set of generators for the group; it has a vertex for each group element, and an edge for each product of an element with a generator.