Word info

n-simplex

Noun

Meaning

n-simplex (plural n-simplexes)

(geometry) An n-dimensional simplex

Source: en.wiktionary.org

Examples

A continuous map to a topological space X is frequently referred to as a singular n-simplex. Source: Internet

Elements The convex hull of any nonempty subset of the n+1 points that define an n-simplex is called a face of the simplex. Source: Internet

An (m+n+1)-simplex can be constructed as a join of an m-simplex and an n-simplex. Source: Internet

An (n+1)-simplex can be constructed as a join (∨ operator) of an n-simplex and a point, ( ). Source: Internet

Note that each facet of an n-simplex is an affine n-1-simplex, and thus the boundary of an n-simplex is an affine n-1-chain. Source: Internet

Probability main In probability theory, the points of the standard n-simplex in -space are the space of possible parameters (probabilities) of the categorical distribution on n+1 possible outcomes. Source: Internet

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