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simplices
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Definitions of simplices in various dictionaries:
noun - a simple word
SIMPLICES - In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions. Speci...
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In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions. * Specifically, a k-simplex is a k-dimensional polytope which is the convex hull of its k + 1 vertices. * More formally, suppose the k + 1 points * * * * * u * * 0 * * * , * * , * * u * * k * * * * * * R * * * k * * * * * {\displaystyle u_{0},\dots ,u_{k}\in \mathbb {R} ^{k}} * are affinely independent, which means * * * * * u * * 1 * * * * * u * * 0 * * * , * * , * * u * * k * * * * * u * * 0 * * |