This term is used to describe a partition in which order matters, and transformation monoids are de ned by this operation.
Real normed algebras are also described using this term, which also describes a series of nested normal subgroups of a  nite group. This term is used to describe a partition in which order matters, and transformation monoids are de ned by this operation. Faà di Bruno's formula is used to compute the nth derivative of an expression de ned by this operation. The iterated version of this operation is referred to as the functional   power, and this is the group operation used to combine permutations in the symmetric group. For ten points, identify this binary operation which acts on functions and is denoted by a small circle.
Real normed algebras are also described using this term, which also describes a series of nested normal subgroups of a  nite group.
function composition