Five interpretations of Fa\`a di Bruno's formula

@inproceedings{Frabetti2011FiveIO,
  title={Five interpretations of Fa\`a di Bruno's formula},
  author={Alessandra Frabetti and Dominique Manchon},
  year={2011}
}
In these lectures we present five interpretations of the Fa' di Bruno formula which computes the n-th derivative of the composition of two functions of one variable: in terms of groups, Lie algebras and Hopf algebras, in combinatorics and within operads. 

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