Symbolic method (combinatorics): Difference between revisions

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Disambiguated: BernoulliDaniel Bernoulli {{disambiguation needed|date=April 2021}}
m Other elementary constructions: wikitable, {{mathcal|}}
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Other important elementary constructions are:
*the ''cycle construction'' (<math>\mathfrak{C}\{\mathcal{B}\}</math>), like sequences except that cyclic rotations are not considered distinct
*''pointing'' (<math>\Theta\mathcal{B}</math>), in which each member of <math>\mathcal{{mathcal|B}</math>} is augmented by a neutral (zero size) pointer to one of its atoms
*''substitution'' (<math>\mathcal{B} \circ \mathcal{C}</math>), in which each atom in a member of <math>\mathcal{{mathcal|B}</math>} is replaced by a member of <math>\mathcal{{mathcal|C}</math>}.
 
The derivations for these constructions are too complicated to show here. Here are the results:
{| class="wikitable"
{|
|-
! Construction