Symbolic method (combinatorics): Difference between revisions

Revision as of 00:57, 16 September 2004

Revision as of 01:00, 16 September 2004

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===Sequence===

The ''sequence construction'' <math>\mathcal{A} = \mathfrak{G}\{\mathcal{B}\}</math> is defined similarly to the unlabelled case:

:<math>\mathfrak{G}\{\mathcal{B}\} = \mathcal{E} + \mathcal{B} + (\mathcal{B} \star \mathcal{B}) + (\mathcal{B} \star \mathcal{B} \star \mathcal{B}) + \cdots</math>

and again, as above,

:<math>A(z) = \frac{1}{1 - B(z)}</math>

===Set===

===Cycle===