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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. The simplex is so-named because it represents the simplest possible polytope in any given dimension. For example,
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displaystyle n-simplex vertices regular standard space two one simplices triangle tetrahedron point points vertex set volume polytope dimensions form also
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Simplex | is a | point | 0.90 | text |
| Simplex | is a | simplex that is also a regular polytope | 0.90 | text |
| Simplex | is a | k-dimensional simplex whose vertices are the k | 0.90 | text |
| Simplex | is a | n-th triangle number | 0.90 | text |
| Simplex | is a | join of two points | 0.90 | text |
| Simplex | is a | join of 4 points | 0.90 | text |
| Simplex | is a | example of a 0/1-polytope | 0.90 | text |
| Simplex | is a | softmax function | 0.90 | text |
| Simplex | is a | n-dimensional manifold with corners.ProbabilityIn probability theory | 0.90 | text |
| Simplex | is a | n-dimensional manifold with corners | 0.90 | text |
| Simplex | is a | affine | 0.90 | text |
| continuity and | instance of | if it fails to have some desirable property | 0.80 | text |
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