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#suggestededit-add 1.0 Tags: Mobile edit Mobile app edit Android app edit |
Fix for parallel construction. |
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Line 42:
:<math>0\le p_i \le 1</math>
for all <math>i</math>. Therefore, the set of stochastic vectors coincides with the [[Simplex#The standard simplex|standard <math>(n-1)</math>-simplex]]. It is a point if <math>n=1</math>, a segment if <math>n=2</math>, a (filled) triangle if <math>n=3</math>, a (filled) [[tetrahedron]] if <math>n=4</math>, etc.
==Properties==
* The mean of the components of any probability vector is <math> 1/n </math>.
* The shortest probability vector has the value <math> 1/n </math> as each component of the vector, and has a length of <math display="inline">1/\sqrt n</math>.
* The longest probability vector has the value 1 in a single component and 0 in all others, and has a length of 1.
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