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Update topics/microbiome/tutorials/diversity/tutorial.md
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paulzierep authored Aug 1, 2024
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Expand Up @@ -410,7 +410,7 @@ Multidimensional diversity metrics offer a **more nuanced and holistic perspecti
> # Rényi entropy
>
> Rényi entropy is a concept in information theory and statistical physics introduced by Alfréd Rényi, a Hungarian mathematician. It is a generalization of the Shannon entropy, which measures the uncertainty or information content of a random variable or probability distribution.
The Rényi entropy of a discrete probability distribution is defined by the parameter α, which determines the order of the entropy. The formula for calculating Rényi entropy is:
> The Rényi entropy of a discrete probability distribution is defined by the parameter α, which determines the order of the entropy. The formula for calculating Rényi entropy is:
>
> $$ Hα(P) = 1 / (1 - α) * log₂(∑(i=1 to N) pi^α) $$
>
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