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