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===Some Properties of <math>n</math> dimensional Probability Vectors===
: Probability vectors of dimension <math>n</math> are contained within an <math>n-1</math> dimensional unit [[hypersphere]].
: The mean of a 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>1/\sqrt n</math>.
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