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Boyce–Codd normal form. Not to be confused with Backus–Naur form. Boyce–Codd normal form (BCNF or 3.5NF) is a normal form used in database normalization. It is a slightly stricter version of the third normal form (3NF). By using BCNF, a database will remove all redundancies based on functional dependencies.
3-dimensional matchings. (a) Input T. (b)–(c) Solutions. In the mathematical discipline of graph theory, a 3-dimensional matching is a generalization of bipartite matching (also known as 2-dimensional matching) to 3-partite hypergraphs, which consist of hyperedges each of which contains 3 vertices (instead of edges containing 2 vertices in a usual graph).
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Numerical 3-dimensional matching. Numerical 3-dimensional matching is an NP-complete decision problem. It is given by three multisets of integers , and , each containing elements, and a bound . The goal is to select a subset of such that every integer in , and occurs exactly once and that for every triple in the subset holds.
Multivariate interpolation. In numerical analysis, multivariate interpolation is interpolation on functions of more than one variable ( multivariate functions ); when the variates are spatial coordinates, it is also known as spatial interpolation . The function to be interpolated is known at given points and the interpolation problem consists ...
Although many algorithms have been published for the problem of constructing the convex hull of a simple polygon, nearly half of them are incorrect. [3] McCallum and Avis provided the first correct algorithm. [4] A later simplification by Graham & Yao (1983) and Lee (1983) uses only a single stack data structure. Their algorithm traverses the ...
Trilinear interpolation is a method of multivariate interpolation on a 3-dimensional regular grid. It approximates the value of a function at an intermediate point within the local axial rectangular prism linearly, using function data on the lattice points. For an arbitrary, unstructured mesh (as used in finite element analysis), other methods ...
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.